diff --git "a/data/dm_maths/full_data/2377_11255.jsonl" "b/data/dm_maths/full_data/2377_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2377_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w be (24\/16)\/((-1)\/(-6)) + -4. What is the highest common factor of w and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 c when three letters picked without replacement from {d: 5, c: 2}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 157603\/19 + -8295. What is the closest to -0.1 in 1.8, c, -5, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 6*l + 4*l**3 + 2*l**2 + 101 - 101. Let n be h(-1). Solve -2*m - 1 = y, -15 = -5*m + y - n*y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/3 + 22*z\/3 + 8.\nAnswer: -2*(z - 12)*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -s - 5*t, -14 = 3*s - 2*t - 28. Let m be ((-132)\/s)\/((-9)\/6). Solve 27 = -5*l - 0*a - 3*a, 5*l = a - m for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27\/19 - 2\/95. Let k = 1214\/303 - 9139600\/2281287. Let y = -429133\/75290 - k. What is the common denominator of y and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d = -16*d + 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 13*u**2 - 20*u - 32. Calculate g(11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 2*l - 20 = -4, 2*x = -5*l + 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35*x - 10*x + 41*x - 2 + 2*x - 2 + 2 + (-2 - 1 + 1)*(3 + 2*x - 3).\nAnswer: 64*x - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00316243 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.06, -0.3, 4, 2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-26)\/(-78) + -1 + 922\/6. Calculate the greatest common factor of n and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-8 - -10) + -2)\/5. Let f(a) = -2*a**3 - 7*a + 3*a**3 + 3 - 7*a**2 + 2*a**2. Let o be f(6). Which is bigger: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 1 = g, 7*y - 9*y - 27 = -3*g. Let i(j) = -2*j + 19. Calculate i(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 4*r**2 - 3*r - 13. What are the prime factors of t(-5)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) -2 (c) 73 (d) -4 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-43187)\/(-9092))\/((2 + -1)\/4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**4 - 52*b**2 + 159*b**2 - 55*b**5 - 2 - 71*b**2 wrt b.\nAnswer: -3300*b**2 - 144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**5 - 1 + k - k + (4*k**3 + 4*k**3 - 3*k**3)*(1 - 2*k**2 - 1).\nAnswer: -9*k**5 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, -15, 4, -2 in ascending order.\nAnswer: -15, -5, -2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61415895 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 23 + 179 = 0. Suppose 27*r - 14*r = i. Calculate the remainder when 17 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*o**2*z + 6*o**2 - 10243*z - 1670 wrt z.\nAnswer: -4*o**2 - 10243","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5954169 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/2 - 3) + -1*3. Which is smaller: r or 1\/29?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*k*s**2 + 1262*k*s - 82*s**2 wrt s?\nAnswer: -8*k - 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 + 30. Let n = 33 - c. Suppose 3 = f, -3*f - 20 = -2*m + n. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 55747998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve z**5\/3 + 2896*z**4\/3 - 4893*z**3 - 504050*z**2\/3 + 2099596*z\/3 - 703976 = 0.\nAnswer: -2901, -13, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) 2 (b) 0.3 (c) -16 (d) -5\/6 (e) -117\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20311231 (base 5) to base 8\nAnswer: -505051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 330*h**2 + 332*h + 2.\nAnswer: 2*(h + 1)*(165*h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -700*u - 32385. What is d(-46)?\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 = -3*q, 12 = -3*q + q + 4*v. Let z = 3 - q. Let h = z - 0. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*y + 8. Suppose 3 = -y*d + 9. Find the first derivative of 0*x**3 - x**3 + 2 - x**d wrt x.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9610325?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.348 + -2.652. Let i = 3 - 2. Let y = i - -4. Which is smaller: y or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = -2. Suppose -17 = -p - 5*g, 18 = 5*p + 3*g - r. Suppose i + 4*m = -3, -3*i + p*m = m - 4. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + w - 11. Let j be b(8). Let c be (j\/(-5) + -3)*-10. Suppose l - 5*q + c = 5*l, -29 = -l + q. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1449540 and 2125992?\nAnswer: 31889880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 5*a + 3*a + 0*a - 2*a + a + 8*a - 9*a - 5*a + a - 5*a + a + (-3*a - a + 0*a)*(-1 - 1 + 1) + a - 2*a - a.\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/9 and -27\/25121.\nAnswer: 226089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhghhhghhhhhhhhh. What is prob of sequence hghh?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 3721, -2\/85 in descending order.\nAnswer: 3721, 3, 1, -2\/85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 11, o: 9}. Give prob of picking 3 o.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-42)\/(-16))*12\/8.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7014 + 3?\nAnswer: 7017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 12 + (5 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddllddllxlldlx. What is prob of sequence ddl?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 11. Suppose n = 4*r - 11 - 5. What is the remainder when 11 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q + 1. Let v be j(-3). Suppose 50 = 2*b - v*b. What is the units digit of (3\/((-3)\/b))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viiviivvvi. What is prob of sequence iv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p - 2178*p**3 + 87*p**3 + 4*p.\nAnswer: -2091*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 22 - 59*u + 55*u - 18. Let d(g) be the third derivative of g**6\/360 + 2*g**3\/3 - 3*g**2. Let x(i) be the first derivative of d(i). Determine q(x(r)).\nAnswer: -4*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 216312 and 216312.\nAnswer: 216312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*u + z, -6 = 3*u - 4*u - z for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114978056 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1456536 and 444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 + 3*h - 2*h**2 - h**3 + 0*h**2 - 2*h**2 - 1. Let c be g(-4). Let s be (-80780006)\/(-14) + c + 120\/(-35). Round s to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 964997479 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4924, 4, 0.8, -4, 0 in decreasing order.\nAnswer: 4, 0.8, 0, -4, -4924","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 1aa0?\nAnswer: -1aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3 = v + i, 0 = 5*v + i for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*j**4 + 6*j**2 - 443*j wrt j?\nAnswer: 528*j**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1221)\/(-74)*((-15)\/45)\/(2\/4).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2. Let k(x) = 26*x - 3. Calculate k(y(q)).\nAnswer: -52*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k. Let a(z) be the second derivative of -5*z**3\/6 - 15*z. Give q(a(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 3*v**2 + 250*v + 1393. Calculate k(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87403846*u**3 + 309770*u**2 + 194 wrt u.\nAnswer: 524423076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 1:48 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4 - 3854*r**3 + 7880620*r**2.\nAnswer: -2*r**2*(r - 1243)*(r + 3170)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 221*w**2 + 25*w + 9. Is c(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 0*a - 5*a + 0*a + 2*a. Let l(s) be the first derivative of -3*s**2 - 4*s - 1. Determine z(l(b)).\nAnswer: -12*b - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 0, -5*z - 76 = -5*w - 856. Suppose 14*u - u - z = 0. Suppose 6*o + 672 = u*o. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.22 - 0.58. Let n = s - -6. Is n equal to 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 12. Which is the nearest to -1? (a) l (b) 1\/6 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1050 - 16795\/16. Suppose 111*d - 107*d - 28 = 0. Suppose v - d = -2*c, v + 4*v - 28 = -3*c. Does c = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -95675*p - 45924. Let d(r) = 4*r + 2. Determine 22962*d(i) + w(i).\nAnswer: -3827*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*i = 13, 2*i + 12 = -2*c + 4*i. Calculate the remainder when 27 is divided by (-15)\/(c - (-2)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18729?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-1*sqrt(1089)).\nAnswer: -sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 19 (b) 1\/5 (c) 5 (d) 3 (e) -2\/17 (f) 1\/123 (g) -0.085\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3498 by 1166.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -9*i + 41*i - 11 - 15*i - 15*i. Calculate w(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-16)\/(-8))\/((89\/(-7832))\/(2\/8)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -11. Let p = 7 + v. Suppose -9 = -3*c - p. Solve 4*y - 2*y + c = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {m: 4, c: 3}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2391 + 3380. Let k = 3746 + l. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29675, -30075, -30755, -31721, -32979, -34535, -36395, -38565?\nAnswer: -41051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 58 and 15916084.\nAnswer: 15916142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + 8. Suppose 3*h + b = 118. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13 - -2c?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, a: 1, c: 1, e: 3}. What is prob of picking 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14442 (base 6) to base 12\nAnswer: -1422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 96105*l**2. Let u(y) = 2*y. Calculate m(u(o)).\nAnswer: 384420*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-16) - 3\/12. Suppose z = -2*h + 2*y + 166, 4*h + 0*h + 2*y = 362. Let d = -9 + h. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**2 + c - 2. What is y(0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, -10, -43, -110, -223, -394, -635?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -64 - -66. Solve 0 = b - 0 + t for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100781425?\nAnswer: 5, 1487, 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 62 = -3*m, -3 - 24 = 3*m - 3*i for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5c (base 14) to base 13\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3255*i - 13031. What is m(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4046538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -28894 or 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n + 16 - 187 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28280\/(-8484))\/(4\/(-54)*-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a. Let x(r) = 729562*r. Let u(m) = 520*m. Let n(j) = 4208*u(j) - 3*x(j). Give n(w(y)).\nAnswer: 526*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2.8 * -74\nAnswer: -207.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 5.59, 0.097, 2 in descending order.\nAnswer: 5.59, 2, 2\/9, 0.097","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -8*g**3\/3 + g - 70. Give t(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - (-2 - 0 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {g: 1, c: 1, r: 1, v: 2, y: 1, p: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -449 + 449 + 3*y to x*y + u and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 3*p - 3*r = 18, p = -4*r + 26. Calculate the greatest common divisor of p and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/569 or -1?\nAnswer: 2\/569","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 507 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b + 19 - 37 - 38 + 8 - 8 - 2*b + 9 + (3*b + 2 - 2)*(-1 + 2 + 1) to the form l + w*b and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1130205 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1300) + -3)**2.\nAnswer: -5236 + 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of 2*u**3 + u**2\/2 - u - 1. Let o be m(3). What is the highest common divisor of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 11*j - 2. Let y(t) = 18*t - 4. Let l(w) = -y(w) + 2*z(w). Let x(s) = s - 65. Calculate x(l(p)).\nAnswer: 4*p - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 1 - 1)*(-18*g + 11*g - 4*g).\nAnswer: -22*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -112691 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2400 and 79600?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35.5266 + 0.0266. Which is smaller: j or 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -148*r - 130*r + 125*r**2 - 125*r**2 - 5 + 112*r**3 - 630*r**3 wrt r.\nAnswer: -3108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 1 = 3*s, 3*f = 3*s + 5 - 2. What are the prime factors of (-6)\/(24\/(-284))*(2 + f)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 2*v**2 - 11*v**2 + 2*v**2 - 2*v**3 - 4*v + 0*v**2. Let b(h) = -3*h**3 - 11*h**2 - 5*h. Determine 4*b(c) - 5*l(c).\nAnswer: -2*c**3 + 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of x**6\/2700 - x**5\/450 - x**4\/60 + 16*x**3\/3 + 6*x**2. Let d(v) be the first derivative of l(v). Let d(f) = 0. Calculate f.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 138 = k + k, k + 3*i = 73. Let o = 5 + -2. Let m be 12\/o*7*1. What is the greatest common factor of m and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -383738 divided by -613?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -3*i + 7*z + 41543, -i + 3*z + 13861 = 0. Is i a multiple of 86?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -56*b - 207. Let s(u) = 110*u + 415. Let j(l) = 4*s(l) + 7*y(l). Is j(18) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6600.147 hours?\nAnswer: 396008.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 1 = -5445*l + 5446*l, 3*y - y = l - 13 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*k**3*q**2 - 3941711*k**3*q + 2*k**2*q**2 + 26*k**2 + 9*k*q**2 - k*q + 21*q wrt k.\nAnswer: 12*q**2 - 23650266*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 80797037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 555.424 seconds in nanoseconds?\nAnswer: 555424000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 14 = f + 4*r, 0 = 5*f - 3*r + 2. Factor 7\/2*l + 1 - 2*l**f.\nAnswer: -(l - 2)*(4*l + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j + 4 - 4. Let h = -33 - -38. Let v(b) = 5*b + b - h*b + 3*b. Give v(r(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/2670 and 47\/10755294.\nAnswer: 53776470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (-9 - -1) + 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36555?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15042727 = -5*v - u + 15042764, -3*v + 25 = -u + 6 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159303539 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -16) + 13 + -27?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 + -1)*4\/4. Which is the third biggest value? (a) 4\/5 (b) q (c) -0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 3*s = 3, 3*s = 593*y - 596*y - 15 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -991 + 987. Sort p, 2\/3, -3 in increasing order.\nAnswer: p, -3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5 (b) 3\/56 (c) -0.1727\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -239*u + 83*u + 68*u + 87*u + 5160 + 2401 to the form z*u + p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -24. Let s = x + -9. Let a = s + -2. Which is smaller: 1\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 11 = -4*a, 37 = -13*m + 17*m + 5*a for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -9*m + 1. Let l(j) = -13*j + 2. Let f be 14\/2*(3 + -2). Let b(n) = f*d(n) - 5*l(n). Differentiate b(x) wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66071 (base 9) to base 15\nAnswer: cea4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**2 - 85*q**4 - 33 + 87*q**4 - 21*q**3 + 11*q**3 wrt q.\nAnswer: 48*q - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.794518l to millilitres.\nAnswer: 2794.518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 264413?\nAnswer: -264411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d*d*d**(-9))*d*d**1)**(-43)*(d**(-2\/5)\/d)**(-40)*d**9\/(d\/(d\/(d*d**8))) assuming d is positive.\nAnswer: d**(-417)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (112\/(-63))\/(((-80)\/30)\/(-4)*(-4)\/(-8)).\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 5*s + s + 0*s - 14. Let k(d) = -6*d + 16. Let y(u) = -6*k(u) - 7*l(u). Let z(o) = o**2 + 9*o - 10. Let j be z(-10). Determine y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-12)*j))**(-5)\/(j*j*j**(3\/5))**(-32) assuming j is positive.\nAnswer: j**(116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 68, 3, 3\/2?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, t: 8}. Give prob of picking 3 k and 1 t.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -1\/5, -181?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmftgjm. What is prob of sequence tggm?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and 1099.367.\nAnswer: 1099.467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -13*q. Let x(c) be the third derivative of -7*c**5\/60 - 597*c**2. What is x(h(w))?\nAnswer: -1183*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147455.\nAnswer: 5, 7, 11, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 61661.85cm in micrometers?\nAnswer: 616618500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 3, -255.\nAnswer: -255, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (7 + -10 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3750000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, p: 1, q: 2, i: 4}. Give prob of sequence qpoi.\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o = 53*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 323921858 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8003 and 347753.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/36)\/((-29)\/(-2835156)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**3 + 69*f**2 + 30*f + 207. What is the smallest common multiple of 336 and z(35)?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + 3*l + 3. Let x be o(3). Suppose -2*q + x = 4. Solve -q = -3*z - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448078978 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaaaaaajxaaajj. Give prob of picking 1 a and 1 j.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.02 - -3.02. Let v = 8 + -8.4. Let i = -9.5 - -4.5. Which is the smallest value? (a) i (b) v (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10202222 + -102210?\nAnswer: 10100012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 341*r**3 - 2*r**2 + 3*r - 2. Is 24 a factor of j(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a + 0*a**4 + 2*a**4 - 1235*a**2 + 2464*a**2 - 39*a**3 + 0*a**4 - 1226*a**2 to the form p*a**3 + v*a**2 + j + i*a + d*a**4 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 66883440 divided by 1326?\nAnswer: 50440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5745, 11490, 17235, 22980?\n\"Answer: 5745*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -7, -29, -71, -139?\n\"Answer: -d**3 - d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3416, 6838, 10260?\nAnswer: 13682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + sqrt(180)) - sqrt(180))**2 - (sqrt(180) + (sqrt(180)*-2)**2 + -5).\nAnswer: -6*sqrt(5) + 905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 17*j**2 + 7*j + 121. Let s be u(-17). Is 44\/61 at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -5*h - 141. Let r be v(-28). Is 2\/497 < r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(550)*-1 - sqrt(550)) - sqrt(550))\/sqrt(10))\/(sqrt(22)\/(sqrt(4)\/sqrt(2) + sqrt(2))*5) + 5.\nAnswer: -6*sqrt(5)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 f when four letters picked without replacement from noofnnonn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 840 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-1 - 4\/(-6)). What is the units digit of (85 - d\/(-3)) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-3 - (-2 - -2)) + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.8 + 4. Which is smaller: t or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2.9, -0.3, 8 in decreasing order.\nAnswer: 8, 2.9, -0.3, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 10 + 1)*(1 - 3 + 3 + 3 - 2 + 1 + 4 + 1 - 3 + 1 + 0 + 0 - 5 + 3 + 1 + (0 - 1 - 1)*(-3 + 1 + 0) + 0 + 0 - 2)*(-2*v + 1 - 1).\nAnswer: -168*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 9*j**2 - 10*j - 45. Give x(-12).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/6)\/(272\/(-408)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/3 - 30\/(-9). Let i = j + -2. Suppose 5*l - i = 3*a, 4*l - 14 = 3*l - 4*a. Sort l, -1, 5 in decreasing order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26135 is divided by 363?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 = 3638\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -75, 291, 901, 1755, 2853?\nAnswer: 4195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2350 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1962263.991 plus -0.708?\nAnswer: 1962263.283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x. Suppose -6*h - 5 = -h. Let q(y) = y - 2. Suppose -2*i = -6*i. Suppose t + 2*v = 5*t + 14, 5*t + 5*v + 25 = i. Calculate h*q(r) + t*m(r).\nAnswer: 3*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-291)\/(-15) + (-2)\/5. Suppose y = -3*q - y + h, 5*q + y - 27 = 0. What is the highest common divisor of 35 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1744966 is divided by 581564?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**2. Let t(q) = 7*q**2. Let v be (-10)\/(-55) - (-224)\/(-22). Let s(b) = v*r(b) - 6*t(b). Let g(w) = -4*w. Calculate g(s(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0889 and 10.088.\nAnswer: 0.8968232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/8)\/1 - (5 + -10)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17690*v + 8945*v + 8747*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**6\/360 + i**4\/12 - 5*i**3 + 16. Let z(x) be the third derivative of j(x). Let y be z(-2). Is 0.3 at least as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + 10*f + 0*f**3 - 10*f.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(5) + sqrt(5) + 3 - sqrt(20)*-5 - (-1 + sqrt(405) + -3*(1 + sqrt(5))))**2.\nAnswer: 98*sqrt(5) + 294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 444 + (-4)\/(3 + -7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313673 is divided by 726.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*a + 140 = -25*a. Suppose 0 = 14*r - a*r - 157800. What is r rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 76\/5 (b) -1\/3 (c) 2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 0.08, -1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3908 + 4928. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(100\/(-16))*(-440)\/8976?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 273703?\nAnswer: 821109","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000061008 to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -12*v**2 - v - 1. Let q be n(-1). Let h = q + 17. Let j(g) = 2*g**2 + 25*g + 101. Let z be j(-6). Which is the biggest value? (a) h (b) z (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/4 + 432562\/524?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -16*s**2 + 20*s - 28. Let i be p(28). Let k = -144263\/12 - i. Let l = -10\/51 + -4927\/102. Find the common denominator of l and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-40)\/84)\/(-10) - 1\/3. Which is the third biggest value? (a) -5 (b) -2 (c) -4\/5 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -164, -228, -402, -740, -1296, -2124?\n\"Answer: -9*d**3 - d**2 + 2*d - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**3 - 22 + 4*l**3 + 4*l**3 + l + l**2 + 24 in the form p*l**2 + u*l**3 + a*l + o and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1028279 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -44*f**2 - 11. Let a(s) = 15*s**2 + 6*s - 8. Let p(i) = -26*i**2 - 11*i + 15. Let c(k) = 11*a(k) + 6*p(k). What is -11*c(m) - 2*z(m)?\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (72\/(-45))\/(2\/10). Let n = z + 12. Put -1, n, 1 in decreasing order.\nAnswer: n, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 83\/9 - (-2)\/(-9). Let g be r\/5 - 2\/(-10). Suppose -3*k + g*y - 4 = 0, -y = 5*k + y - 4. Solve -h + 1 = k, h + 9 = -4*i + 22 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/234 and -38\/13559?\nAnswer: 244062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-4\/7))**(-8\/9))**(-4\/15) assuming d is positive.\nAnswer: d**(64\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.6 + 2.4. Suppose 2*v = -5*c + 11, -c - 3*c - 5 = -3*v. What is the second smallest value in c, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50136364 is divided by 182314?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t. Let r(x) = -x**3 - 2*x**2 + 3*x - 3. Let k be r(-3). Let h be 4\/k*(-3)\/2. Solve t = -0*u - h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.59794812 - 2161.3\nAnswer: -2155.70205188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + 6*v + 11. Suppose -39 - 3 = -6*d. Let k be a(d). Factor 3\/8*b**2 + 0 + 0*b + 9\/8*b**3 + 3\/8*b**5 + 9\/8*b**k.\nAnswer: 3*b**2*(b + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 304 and 32984.\nAnswer: 65968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(156)*-1 + -4*(sqrt(156) + sqrt(156)*1 + sqrt(156)))\/(1*sqrt(36)\/(-3*sqrt(3))).\nAnswer: 45*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84191032357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59 - -69. Suppose 84 = 2*w + y. What is the remainder when 146 is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*t - 4*t = 0, 0*f + t - 21 = -3*f - 3 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 = -3*f + 365 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/(-8)*(-1 + 5277) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 + -4 - (-591)\/90 and 29\/35.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*j**4 + 27*j**4 - 17*j**4 + (-1 + 2*j**3 + 1)*(-2 + 7*j - 6*j - 7*j).\nAnswer: 32*j**4 - 4*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3567084 and -179\/60.\nAnswer: 17835420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -5. Let w be ((-5)\/(-20))\/(6\/(-40)). What is the nearest to s in 0, -3, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 5*u + 5. Let y be b(-6). Let p(r) = -4*r. Let q be p(y). Put q, -18, 2 in increasing order.\nAnswer: -18, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3376 + 2123 = 13*p. What is the remainder when p is divided by 99?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -15. Suppose -5*c - a + 101 = 0. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -1\/7*d**3 - 7*d - 5\/42*d**4 - 1\/70*d**5 - 2 + 9\/7*d**2. Determine f, given that t(f) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 18*y - 32*y - 51*y - 153*y. Let q(u) = -2*u. Calculate q(o(z)).\nAnswer: 436*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*s + 160*s - 1102497 = 0. What is the tens digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 339*c + 87524. Give z(-258).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 1*(sqrt(18) + 5).\nAnswer: 4 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 s when three letters picked without replacement from {x: 3, u: 1, g: 1, a: 3, s: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = i - 23, -18*i - 18 = -3*a - 20*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 578.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16.92, -1\/2, 31?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 1:34 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + m + 6. Let u(p) = -p**3 + 7*p**2 - 6*p + 222. Let c be u(9). Calculate the highest common divisor of m and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 92412 = -4*b, -4*b + 7*q - 3*q = 92416. Round b to the nearest 1000.\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 10*w + 10*w. Let s(a) be the first derivative of -52*a**2 - 7585. Give h(s(d)).\nAnswer: 10816*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*n - 67 + 67)*(-4 - 8 + 2) + 2 - 2 - 3*n.\nAnswer: -533*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/330 - (-5 - 532\/(-105))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**3 - 13*j**2 + 7*j - 46. Let q be l(6). Let t = q - 161. Let u = 10 + -5. Solve -u*h = -n + t, 5*n + 17 + 20 = -3*h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -3\/4, -2\/15, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + 9\/6 - ((-1110)\/4)\/3. Calculate the highest common divisor of b and 3555.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.127427 - 0.12.\nAnswer: 4.007427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14158\/655 + 108\/5. Which is the nearest to -2\/5? (a) i (b) -2 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459 and 765.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 2*h**2 - h - 5. Calculate the remainder when u(3) is divided by 26.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214898851203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**22\/((m*(((m\/m**9)\/m)\/m)\/m)\/m)*m**16\/m**24 assuming m is positive.\nAnswer: m**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - 3*p + 2*p**5 - 3*p**5 + (-3 - 1 + 3)*(-p**3 + p**3 - 2*p**5) - 3*p**5 - p**5 + 5*p**5 - 2*p**5 + p**5 - p**5.\nAnswer: 2*p**5 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {n: 7, a: 3, p: 9}.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 13*k + 14. Give m(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/24)\/(95\/30 + -3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -977 - -977. Which is the closest to 0? (a) 25\/4 (b) 0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -692, -694, -696, -698, -700, -702?\n\"Answer: -2*w - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -4, -17, 0.26?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -229.51936 to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u + 12. Let h be (1 + (-6)\/24)\/(9\/48). Give w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 5:55 AM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 112, 51, -20, -101, -192?\n\"Answer: -5*i**2 - 46*i + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n + 12. Suppose -3*m - 3*a = -m - 87, 0 = -2*m - 4*a + 88. Let s be n\/m*3 + 0. Is 0 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000424 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 - f - 1. Let b be (-1)\/(-1 + 5 - (-88)\/(-24)). Let m(o) = 5*o**3 + 3*o + 3. Let z = -205 + 204. Calculate b*d(u) + z*m(u).\nAnswer: -8*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93566724.\nAnswer: 2, 3, 7797227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (16\/148)\/((-8961)\/(-11433))\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 266 - 225. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 7*o + 4. Let z be -6 + 0 + -3 + 2. Let a = z - -2. What is s(a)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/37656108 and 67\/8.\nAnswer: 75312216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 11:55 PM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -17. Calculate the remainder when 42 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 84420 and 108.\nAnswer: 253260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of 5*a**8\/168 - 5*a**7\/42 - 37*a**6\/16 + 353*a**5\/48 - 895*a**4\/96 + 25*a**3\/4 + 189*a**2. Let z(n) = 0. What is n?\nAnswer: -5, 1\/2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*c\/(c*c\/(c*c\/c**43)*c))\/(c*c**(-5\/12)) assuming c is positive.\nAnswer: c**(-499\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2016469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 43*z - 1. Determine p(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7322, 3, 4, 1 in descending order.\nAnswer: 4, 3, 1, -7322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4150 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -124.97296 + 125. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -69203 - 0.0311982?\nAnswer: -69203.0311982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -17 + 22515062?\nAnswer: 22515045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 30 + 24. Solve -w - 14 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 657 = 4*g, -5*g + 468 + 353 = -m. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/1)\/(1\/(-3)). Let m be ((-2)\/b)\/(6\/18). List the prime factors of 1\/m + 75\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 times -53.5323?\nAnswer: 32.11938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -5*y + 2. What is the highest common factor of 14 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 557598.9 days to minutes.\nAnswer: 802942416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 359 (base 12) to base 2\nAnswer: 111110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58, -59, -60, -61, -62?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z = 11*z + 4. What is the derivative of -3 - 3 - z + 7 - 2*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5*l = 135, 5*l - 10*l = 3*i - 105. What is the greatest common factor of 160 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o*o*o\/o**(-1\/2)*o)\/o*o)*o)\/o)\/o**(-8)*(o*o**(2\/3)\/o)\/o*o*o*o**(-6\/7) assuming o is positive.\nAnswer: o**(265\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.61 - -7.71. What is the biggest value in -3, -6, -1, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19736598559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 2:04 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 10*v**2 - 19*v - 196. Let i be b(-6). What is the greatest common factor of i and 17792?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (193\/1544)\/(3\/(-30))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/6*-1*(-10 - -14). Put 3\/2, 0.07, 3, x in ascending order.\nAnswer: x, 0.07, 3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w - 4*w + 0*w. Let y(k) be the third derivative of -k**4\/12 + 2*k**2. What is y(p(t))?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a - 1018 = -1218 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -1, 38\/7, -3 in decreasing order.\nAnswer: 38\/7, -0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38619, 154455, 347495, 617733, 965163, 1389779, 1891575?\nAnswer: 2470545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = -o, 4*g + 1 - 5 = -2*o. Suppose -2*m = g*m - 20. Suppose 4*i - u = 80, -i - 58 = -3*i + m*u. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v + 6*v - 2*v**2)*(-10 - 14 + 14) - 2*v**2 - 4*v**2 + 4*v**2.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 4 = g, -18*g + 35*i = -14*g - 16 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 148518 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 167 + -160. Suppose -2*u = -2*t - n*u + 1856, -4*t - 5*u + 3732 = 0. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 51.550417332 and 0.4.\nAnswer: 51.950417332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of -7*x**5\/50 - x**4\/30 + 7*x**3\/15 + x**2\/5 + 25*x. Find u such that o(u) = 0.\nAnswer: -1, -1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 5, q: 2, c: 3, v: 1, b: 1}. What is prob of sequence qu?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 19*y - 60. Calculate g(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39146184 and 368.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 2. Let q = 2 + -2. Let a = 344 + -1726\/5. Sort a, q, g in descending order.\nAnswer: g, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 - 5*n + 12. Calculate t(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -m + 29. Let c = -73 + m. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322 - -336. Calculate the remainder when 62 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6901287?\nAnswer: 3, 2300429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -171.99884 + 172. Round y to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 862 divide 1568477?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 (base 2) in base 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from wwwwwss?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3039747350 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 15) in base 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyy. What is prob of picking 1 y and 1 n?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1444 - 5829\/4. What is the common denominator of (1 - 1) + (-23)\/2 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.17 * 0.1.\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**2 - x. Let z be u(1). Suppose 5*k = 2*k - z. Is ((-2)\/k)\/(2\/381) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 4*m + 254 = 24*c, -3*c = -m - 63 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865800 bigger than 3865798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 179 + -89. Suppose -c = -9*d + 4*d. Let h = -187 + 214. What is the greatest common divisor of h and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bwbbbbww. What is prob of sequence wb?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence po when two letters picked without replacement from ooppprrprropp.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*x - 4*x - 3*x)*(-x + 3*x - 3*x)*(1 - 6 + 3).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2287 + -2286. Let a(w) = w**3 - 5*w + 4. Determine a(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 972389585?\nAnswer: 5, 194477917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 6:46 AM?\nAnswer: 2:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 22 = -8*w + 3*w, -w = -5*n + 1. Suppose -10 = d + w*d. List the prime factors of (4 - 7\/2)\/(d\/(-716)).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**7\/21 - 3*o**5\/20 - 11*o**4\/6 - o**3\/6 - 7*o - 2. Find the third derivative of t(h) wrt h.\nAnswer: 120*h**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e and 1 s when four letters picked without replacement from srreeceee?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezugzuuiiuiigg. What is prob of sequence uu?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1.58. Let z = i - -2.6. Round z to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.98 + 3.1. Let f = i - 2.12. Let z = -324 + 323.6. Which is the third biggest value? (a) f (b) -5 (c) z (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 1 = 0, 877*q - 882*q - 5*t + 65 = 0 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 6:50 AM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3045 - 3075 = 3*l for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 817 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1407 is divided by 468.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.68 + 18.68. Put -2, -111, m in descending order.\nAnswer: m, -2, -111","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/317 - -30439\/2219. Let u = r + 209\/21. What is the common denominator of -20 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -3*s**2 - 1506*s - 189003 = 0.\nAnswer: -251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wss when three letters picked without replacement from {w: 1, s: 4, c: 2, l: 6}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 161841955.\nAnswer: 5, 11, 17, 179, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1 = -2*k, u = 1 - 2. Suppose -i + 6*i - 4*b - 8 = k, 4*i = 3*b + 6. Solve -4*o = -i*o + 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1286 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*r + 5*l + 31 - 11, 0 = 3*l for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 5*b**2 - 4*b + 1. Let j be k(3). What is the second derivative of j*l**3 + 2*l + 3*l**3 - 6*l**3 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -53 - (126 - 217) - (11 + 0)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-24) + 4\/8 + 19146\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-22)\/(-1848)*28)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 1, a: 5, k: 3, y: 3, g: 1}. Give prob of sequence zgv.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18556 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000722626 rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 13 = 3*x + 7, -x = 2*i - 2. Suppose 7*f - 665 - 189 = i. Do f and 123 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 476 = 2*l, -3*l + 2*g = 5*g - 705. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -357.0735 + 370.07. Let i = -31 - -18. Let p = y + i. What is p rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(4*o + 0*o - 2*o) + (1 + 3 - 6)*(-3 - 1 + 0)*(9*o + 19*o + 85*o).\nAnswer: 902*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - 2597\/343 - -40.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7.39571 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**4\/3 + 25*j**3 - 697*j**2\/3 - 913*j = 0.\nAnswer: -83, -3, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.6 - 0.4. Let s = -12.6 + 20. Let u = s + v. What is the second smallest value in u, 0.2, -0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13514 smaller than -13522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:01 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 737\nAnswer: 5\/737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/7 (c) 4\/5 (d) -1\/5 (e) 1 (f) -317\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 56*q**3 - 370*q**3 + 397*q**3 - 268*q**3 - 7*q**2 + 8*q**2 + 8*q to the form b + i*q**2 + c*q + g*q**3 and give c.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f = 0. Suppose 5*q - 25 = -4*w, 2*q + 3*q + w - 25 = f. Suppose -18 = -q*g + s + 13, 5*g - 5*s = 35. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-47)\/(-9) + (-3)\/81*6. Suppose -2*o + 4*o - z = 86, -4*z = -m*o + 221. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 87912 or 68\/33?\nAnswer: 68\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134*x - 449481944 + 146096744 = 310*x. What is x rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/7))**(3\/17)*z*z**(-2\/9)*z*z**(-3))\/(((z**(2\/5)\/z)\/z)\/z**5*(z\/(z**(-4\/3)*z))\/(((z**7\/z)\/z)\/z)) assuming z is positive.\nAnswer: z**(43348\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 2443*h + 1646086. Let l(f) = f**2 - 2402*f + 1646085. Let y(k) = 3*l(k) - 4*t(k). Factor y(p).\nAnswer: -(p - 1283)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.07 (c) -2\/1567 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1961797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9328.96 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + z = -t + 2824, -4*t + 2244 = -3*z. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/28*(-5 - 5). Factor -8\/7 + 2\/7*d**3 + 16\/7*d - m*d**2.\nAnswer: 2*(d - 2)**2*(d - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**3 - 10*g**2 - 2*g - 11. Let h be p(5). Does 4 divide 6\/(-10) - h\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - 91\/(-21). Suppose -9*o + 5*m = -5*o - 2604, 1312 = 2*o - k*m. Is 38 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220) + sqrt(220)*-1 + sqrt(220) - sqrt(220) - sqrt(1375)*6)\/(sqrt(176)*-2*4*-5).\nAnswer: -3*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 213091228 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: How many minutes are there between 11:44 AM and 3:40 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5750 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 1 + 0 - 4 + r - 6*r**2. Let y be i(6). Suppose y*q - 3*d = 72, 4*d - d + 9 = 0. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + v. Let l(c) = c**2. Let o(y) = 8*y**2 - 3*y - 1. Let i(g) = 2*l(g) - o(g). Let n = -98 - -101. Give n*u(z) - i(z).\nAnswer: 3*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 364 and 7072.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*o + o + 35*o + 3*v - 18 = -3*v, -6*o + 3*v = 39 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 2. Let b be p(-3). Suppose 93 = -2*f + b*f. Suppose -4*q + 5*y = -188, q - f + 1 = -3*y. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g. Let u(c) = -c + 1. Let h(v) = v**2 - 5*v - 1. Let r(f) = f**2 - 4*f. Let t(p) = -2*h(p) + 3*r(p). Let n(i) = t(i) - 2*u(i). Give z(n(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkkzzzkzkzpzzokzkzk. Give prob of sequence pkoz.\nAnswer: 35\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -5*q. Let o(d) = 3375053*d**2. What is o(m(v))?\nAnswer: 84376325*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -8)*(42\/36 + 1\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/13 (c) 3288\/451 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (36\/(-8) - -2)*(-1)\/5. Let k = 8 - 13\/2. Factor -3\/2*t**3 - 5\/2*t**2 + k*t + 2*t**4 + j.\nAnswer: (t - 1)**2*(t + 1)*(4*t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q**3 - 2490 + 2490.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2531301 (base 8) to base 13.\nAnswer: 1b7185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 97*a + 58 - a**2 + 95*a - 202*a. Let f be g(-14). Solve -f*s + t = 0, 4*s + 4*t - 9 = -33 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 1. Let c be i(4). Suppose 5*p + 19 = -6. Is 5 a factor of c\/15 + (-66)\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 17 + 4. Let r(o) = -26 + 5 + 60*o**3 - 76*o**2 + 55*o**2. Let c(b) = -6*b**3 + 2*b**2 + 2. Calculate x*c(m) - 2*r(m).\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*l - 6 = 0, 5*l = -4*t + 15 - 7. Suppose -3*j - 3*y = -192, 0 = -5*j + t*j + y + 192. Let c = j + -40. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Is t > -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o + 2. Let m be v(4). What is the highest common divisor of m and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 1.5. Let m = i + -0.4. Let l = 0.8 - -0.2. Is m at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -102*p - 65. Give k(-1).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 681 a factor of 16706992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45932, -45788, -45644, -45500?\nAnswer: -45356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*r = 333*r - 21 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 385\/44)\/(2\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 189254 divided by 13\nAnswer: 14558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4818286 is divided by 3323?\nAnswer: 3259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microgram in nanograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 74, -4, -0.18?\nAnswer: 74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 40*a**3 - 45*a**2 - 45. Let y(r) = -r**3 + r**2 + 1. Determine -2*o(m) - 90*y(m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -10. Suppose 3*f = -4*n + 410, 2*f + 2*n - 361 + 89 = a. List the prime factors of f.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*y - 16. Suppose -3*b + 4*x + y = 0, 2*b - x = x + 4. Find the second derivative of f**2 + 0*f**2 + 2*f - b*f**2 wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304309249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0, -1\/4, -3, 0.16, 0.01, 3.5, 1?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x**2 - 825*x - 10045. What is b(-124)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 927889 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 1. Suppose 0*l + 3 = 3*l. Let c(p) = 4*p - 8. Determine l*c(q) + 5*h(q).\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 164 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.73 rounded to 0 decimal places?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1276384?\nAnswer: 1\/1276384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*q**3 + 59*q**3 - 151*q**3 + 59*q**3.\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17428.6 - 17429. Put b, -32, -9 in ascending order.\nAnswer: -32, -9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -13, -1266407.\nAnswer: -1266407, -13, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-104786)\/26 + (-612)\/(-2652). Let p be (-45733)\/7 - 4\/(-14). Let y = c - p. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-13 - (1 + -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 63*m - 23. Let c(f) = 21*f - 8. Calculate 17*c(g) - 6*l(g).\nAnswer: -21*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5*j = 61, -5*j + 60 = 3*l + 27 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 392? (a) 0 (b) -5 (c) -0.06 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*a**2 - 198*a - 81.\nAnswer: -(11*a + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -1.5, 2, 2\/9, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/6*(-220)\/3. Let w = k + 115. Solve -w*j = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 186 divided by 62\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -4063405.\nAnswer: -1\/4063405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*q**4 + 24*q**4 + 2*q**2 + 61 + 43*q**4 with respect to q.\nAnswer: 176*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 14.5. Let q = -1.6 + z. Let p = 2 + -2.4. What is the second biggest value in p, -4, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19\/(-38))\/((-37)\/(-18) - 2). Which is the third biggest value? (a) -33\/4 (b) t (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0630182 rounded to two dps?\nAnswer: 3.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -138 = -2*v + d, 66*v = 64*v - 16*d + 70. Calculate the greatest common divisor of 8308 and v.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10406370907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 9*x**7\/7 + 2*x**3 - 12. What is the third derivative of t(y) wrt y?\nAnswer: 1080*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6181*k + 6191*k - 170. Suppose -2*a - 150 = -3*r, -40 = -2*r + 4*a + 68. What is the remainder when r is divided by k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -49 and 327.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/169 + 132\/1365)\/(6\/42)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 7.8. Let z = 29.2 + -29. Which is the biggest value? (a) v (b) z (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1378346544 to the power of 1\/2, to the nearest integer?\nAnswer: 37126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -31*w + 14. Let f(r) = -31*r + 13. Let s = -35 - -38. Let q(v) = s*z(v) - 2*f(v). Differentiate q(k) with respect to k.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + -31. Let n = 1 - 0.93. Let s = 0.03 + n. Which is the closest to 0.1? (a) s (b) m (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -45565, -45536, -45507, -45478, -45449?\n\"Answer: 29*k - 45594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z**3 - 3*z + 3 + 19*z**2 - 18*z**2 - z. Let t be v(1). Suppose 339 = 8*s - t. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4 + 14 = 0. Suppose -i*a + 22*a - 244 = 0. What are the prime factors of a?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = o - 45, -2*g - 459143*o - 90 = -459157*o for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 + 4)*(d + 3 - 3) + 4 - 4 - 2*d + 32*d + 1444 - 1444 to n*d + j and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62029.88 micrograms to grams.\nAnswer: 0.06202988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -5, -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956176 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 700236836 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*h + 5*h + 2*j - 416, 2*h = -h + 5*j for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.04035 + 0.94035. Let r = 14\/29 + -157\/145. Which is the closest to d? (a) r (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12112795 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26132128, -52264260, -78396392, -104528524, -130660656?\n\"Answer: -26132132*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3*w\/(w*(w*w\/w**8)\/w)*w\/(w\/((w**(-2\/9)\/w)\/w))*w*w**(-6))\/((w*w**(3\/11)\/w*w)\/w**2*w**(-6\/5)\/(((w**3*w)\/w)\/w)) assuming w is positive.\nAnswer: w**(3319\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f - 5. Let u be 3\/(-2)*(-32)\/12. Let x be (-62)\/12 + u\/24. Give k(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -216 and -1343.\nAnswer: -1559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644911 is divided by 1645.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*o**2 - 12*o**3 - 20*o**2 - 10*o**2.\nAnswer: -12*o**3 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f**2 - 27 + 26 - 24*f**2 as q*f + n + m*f**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 1513*p - 1501. Calculate g(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/7 (b) 165\/2 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000125 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -957, -2190, -3929, -6180, -8949, -12242?\nAnswer: -16065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12329*a + 12375*a - 1058 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 4*m + 159186 = 159195, 4*i + m = -6 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11 + (-4)\/(-6) + (-7)\/(-21). Suppose -6*s = -3*s - c. Solve 6 = -3*x - s*l, -15 = -6*x + 3*x + 3*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*d - 73*d = -176. Find the third derivative of -d - 5*o**2 + 4*o**6 - 30*o**3 + 30 + 2*o**2 wrt o.\nAnswer: 480*o**3 - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -163080 divided by -6?\nAnswer: 27180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5 - 3762\/30. Which is smaller: -124 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/4)\/(45\/15)*2*-1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 0*v - 10 = -2*v, -2*v + 14 = -5*h. Let q(m) = 7*m + 2. Let j be q(h). Does 14 divide 3\/((-3)\/j) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 2*c + 6*c = 22 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 53 = -5*b, 4*b - 59 + 18 = -3*t. Let q = t - -2. Let f be (1 - 8\/q)*-3. Is f >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 10, 0 = t - 3*v - 0*v - 18. Factor -2*q**5 - t*q**2 - 2*q**4 + 0*q**5 + 5*q**2 - 2*q**3 + 4*q**3.\nAnswer: -2*q**2*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 12. Let u be x(15). Suppose n + u*l = 8*l + 10, l = -1. Suppose -n*b + 10 = 2*c, 0 = -0*c + 4*c - 20. Put b, 1, 5 in decreasing order.\nAnswer: 5, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 55\/124 - 6\/31. Which is the closest to r? (a) 3 (b) 2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 54 in 15\/8, 0.9, -2, -3\/5, -5?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cco when three letters picked without replacement from {c: 5, o: 1, f: 1, b: 3, h: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 9*r**2 - 9*r - 4. Let c be f(10). Put -4, -2, c in descending order.\nAnswer: c, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -11*h + 9. Let o be ((-48)\/32)\/((-3)\/10). Let a(q) = 23 - o*q + 23 - 42. Give 9*a(m) - 4*d(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2641\/2116 + -1\/529. What is the nearest to 0.33 in b, -0.02, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1015*i**3 - 28*i**3 - 420*i**5 + 422*i**5 + 5*i**5 + 0*i**5 - 3*i**5 + (2*i**2 - i**2 - 2*i**2)*(2*i**3 + i**3 - 2*i**3) + 4*i**5 + 3*i**5 + 0*i**5.\nAnswer: 10*i**5 + 987*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211020 - 2222110?\nAnswer: -12210200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggz when three letters picked without replacement from {z: 1, g: 2, s: 4}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**4\/3 - 3*a**3 + a**2\/3 + 3*a = 0.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 9:07 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-9)*(y\/(y*y**(2\/25))*y)\/y)**33)**(-10\/13))**(2\/15) assuming y is positive.\nAnswer: y**(9988\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 77779.21 litres in millilitres?\nAnswer: 77779210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3))**40\/(h\/(h\/(h*h**(-4))*h))**(1\/32) assuming h is positive.\nAnswer: h**(-959\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*k + 21*k - 2*k as j*k + f and give j.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 = -3*c. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 2:19 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 636 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 373494299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4629*f**5 + 1234*f**4 + 27719*f**2 - f - 15 wrt f?\nAnswer: 277740*f**2 + 29616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 78709\/31960 + -150\/799. What is the common denominator of (0\/1 - -1)*1003\/(-136) and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 3024?\nAnswer: -3023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/5, 28\/3 in decreasing order.\nAnswer: 28\/3, 1, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -5, -0.14, -0.25, 2, 6\/65?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8160945 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 6. Suppose 2*u = 5*p + 354, -142 = -w*u - 2*p + 518. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 205*y**2 + 13*y - 23*y**2 + 68*y wrt y?\nAnswer: 364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25762?\nAnswer: 2, 11, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 710 in 5, 0.03, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jufzxfzzulu. Give prob of picking 2 u and 1 z.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**34\/v*v)\/v*v\/((v*v*v**8\/v)\/v)*(v\/((v**(2\/9)*v)\/v))**(-16\/7))**(-2\/5) assuming v is positive.\nAnswer: v**(-436\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(3\/4))\/(b\/(b*(b\/b**2)\/b)))\/(b**(-4)\/b**(2\/9)) assuming b is positive.\nAnswer: b**(143\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001745 rounded to seven dps?\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**4 + 3*k + 9 - 3 - 7 - 4*k**2 - k to a*k**4 + t*k**2 + v*k + g*k**3 + q and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -3*z**7 - 5*z**6\/6 - 5*z**3\/3 + 397. Find the third derivative of o(h) wrt h.\nAnswer: -2520*h**3 - 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 3:06 AM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 434864?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -44895.3 take away -0.4?\nAnswer: -44894.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*j + 18 = 0. Let w be (2\/j)\/(5\/(-15)). Suppose 12 = -5*h + h. Which is the third biggest value? (a) h (b) -2\/11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -528 = -4*t - p, 0*p = -3*t - 2*p + 396. Let d be (-2)\/((-12)\/(-2))*-18. Let r be 1 - (d\/(-3) - 9). What is the greatest common divisor of r and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 31 = -w, -4 = 2*k - 0*k. Let b = w - 30. Suppose 0 = h + b*x - 32, 2*x - 72 = -5*h + 49. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18584237?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 14*j + 3, 0 = 6*r + 4*j - 275 + 337 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 2*x + 4. Suppose 0*a = -b + 3*a - 5, -2*b + 14 = 2*a. Suppose -d - l + 14 = 0, -b + 14 = -5*l. What is the smallest common multiple of d and g(9)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -111395, -222770, -334145, -445520?\n\"Answer: -111375*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7520954771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express i**4 + 2*i**3 - 54*i + 7*i**4 + 30*i - 3*i**4 + 0*i**4 - 2*i**2 in the form t*i + r + m*i**4 + l*i**3 + x*i**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 5*r**2 + 6*r + 5. Let m be n(-3). Suppose 4 - 10 = -3*t. Let p(l) = m*l - 4*l + 2 - t. Let v(a) = -2*a. Give p(v(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 1\/2*f**3 - 1 + f**2 - 1\/2*f = 0?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -137.28 - -126.1. Let t = w - 1.82. Let m = -10\/3 + 4. Is m at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1118 is divided by 1076?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(238\/3))\/(6\/(-8))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -4*n + 1. Which is the third biggest value? (a) n (b) -2\/35 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*u + 50 = 5*y, 4*y + 116*u - 3 = 113*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c*g**2*h + 31*c*g**2 + 41*c*g*h + 5150*c*g + 513411*c*h - 3*c + 2*g**2 - 1 wrt h.\nAnswer: -2*c*g**2 + 41*c*g + 513411*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of g**4\/6 + g**3\/2 - g. What is the second derivative of c(u) wrt u?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4904 + -49077\/10. What is the common denominator of d and 71\/678?\nAnswer: 3390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 24, -2\/11, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(132)\/(sqrt(4)*-1) - (2*sqrt(3300) - sqrt(3300)))\/(sqrt(33)\/(sqrt(132)\/(sqrt(108) - sqrt(12)) + sqrt(11))) + -3.\nAnswer: -33*sqrt(11)\/2 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5437320 divided by -90622.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*y = 2, -4*y = t - 2 - 2. Suppose -2*b - 5 + 13 = t. Let z(v) = v**3 - v**2 + 5. Calculate the remainder when z(0) is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + 0.52. Let l = 0.05 - w. Sort 0.4, 0.02, l, -4 in descending order.\nAnswer: 0.4, 0.02, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + ((-165)\/(-231) - (-4)\/14). What is the closest to f in 4, -150, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-13)\/(1*(2 - 3)). Let v = w + -9. Suppose -q + 2*t = -14, -38 = -5*q + 7*t - 5*t. Is v less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31b310 (base 15) to base 2.\nAnswer: 1001000001110001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -0.032?\nAnswer: 0.0352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d**6 + 2*d**5 - 9981*d**3 + 2*d**2 - 24777*d + 10 wrt d?\nAnswer: -1560*d**3 + 120*d**2 - 59886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*1)**2 + 2 + sqrt(6)\/sqrt(3) + 2 + (-2*sqrt(96)\/sqrt(3) + sqrt(32))**2.\nAnswer: sqrt(2) + 38","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1069 + -1070. Let g = -6 + 5.6. What is the nearest to b in 2\/13, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -3*(sqrt(91) - 1*sqrt(91) - sqrt(91)))\/(sqrt(441)\/sqrt(7)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -669, -654, -639?\n\"Answer: 15*m - 684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-588)\/490)\/(14\/(4900\/(-154)))\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 23*z**2 - 24*z + 29. Let y(j) = -3*j**2 + 4*j - 7. Let p be y(3). What are the prime factors of l(p)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -403320 (base 11) in base 13?\nAnswer: -19929c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.5 - -0.5. Let i = 2 - 2. Let m = -564\/1267 + 3\/181. Which is the nearest to i? (a) q (b) m (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -15. Let w(c) be the first derivative of 1\/3*c**3 - 2*c + 2 - 1\/2*c**d. Solve w(y) = 0 for y.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291*j**6 + 4816*j**4 + 12*j**3 - 17910*j**2 - 10146*j?\nAnswer: 34920*j**3 + 115584*j + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 (base 5) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffefmxmfemeeeemfem. Give prob of picking 1 e and 1 m.\nAnswer: 35\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**7\/63 - 2*p**6\/45 + 4*p**5\/15 - 24*p + 2. Suppose j(k) = 0. What is k?\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 9*n - 9. Suppose -165*o = -113 - 217. Let a = 2 - 2. Let s(f) = a*f - 4 + 3 - f. What is o*i(g) - 18*s(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284365731 a multiple of 197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 17\/12*h**4 + 11\/6*h**2 - 2\/3*h + 21 - 1\/3*h**5 - 7\/3*h**3. Factor y(b).\nAnswer: -(b - 1)**3*(5*b - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 20*a**3 - 9 + 25*a**3 + 30 + 11 - 6.\nAnswer: 5*a**3 + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 50, 20595, -20, 1, -1 in ascending order.\nAnswer: -20, -1, 1, 50, 20595","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8597 + -8372. What is the greatest common factor of 465 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.5 (b) 253 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3.21, -5.\nAnswer: -5, 0.3, 3.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**2*f**2 + 11*b**2*f + 30411*b**2 + 123*f wrt f?\nAnswer: 4*b**2*f + 11*b**2 + 123","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13 + 7)*(-2 + 5). Let x be 2\/(-180)*225\/b. Which is greater: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 811501 divided by -6\nAnswer: -811501\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 17.3 (c) -6 (d) 0.6 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105812400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, c: 1, e: 5}. What is prob of picking 2 e?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -312 - -313. Sort i, 0.04, -3\/5, 10.\nAnswer: -3\/5, 0.04, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480804 divided by 80134.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1600*i + 331*i - 3706 = 78*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 188843544 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 - 2)*(-5 - 217)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2\/17, 10\/7, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -20 - 0. Suppose 162 = g*q - 3*q. Suppose 2*s - q - 73 = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1) + (-1849)\/(-301).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7 + -3)*1 + 2. Suppose w*k = 3*k + 48. Find o, given that k*o**2 - o**4 + 5*o**3 - 8*o + o**3 - 17*o**4 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 711*a - 3. Let t be r(5). Suppose 4*d - 3*s = 16512, -2*d + s + t = -4702. Let n = 28820\/7 - d. Calculate the common denominator of n and -41\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 32. Let f be t(-14). Solve 5 = -4*p + p + z, 5*p - f*z = -6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(78)*-1 - ((sqrt(78)*3 + sqrt(78))*-6 - sqrt(78)))\/(-4*sqrt(30)\/(sqrt(245) - (1*sqrt(245) - sqrt(245)))).\nAnswer: -189*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -5*b - 39, -3*q - 2 + 27 = -4*b. What is the second smallest value in -0.03, 3, -5, b?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51 and 553419717.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 2*o + 9. Let l = o - -14. Suppose -6*i + 5*i = -l. Solve 0 = c - i for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-3*sqrt(50)*-1)\/sqrt(10) + 5 + (sqrt(20)\/(sqrt(8)\/sqrt(4)))\/(sqrt(2) + sqrt(2) + sqrt(50)*-1))**2.\nAnswer: -545\/3 - 80*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen sixteenths of a minute?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1879930 is divided by 341.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*((v\/(v\/(v\/((v*v*v*v**11*v*v)\/v))))\/v)\/v)\/v)\/v**(-1\/32) assuming v is positive.\nAnswer: v**(-511\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.00727 - -0.00742855. What is x rounded to six dps?\nAnswer: 0.000159","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, 3, 5\/7, -1, -2 in ascending order.\nAnswer: -2, -1, -2\/3, 5\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4105\/599 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.445 - -0.055. Let s = -232\/187 + 18\/17. Sort h, -0.2, s in descending order.\nAnswer: h, s, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - (83 + -90 + -38).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1142\nAnswer: -5\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1175346 and 12?\nAnswer: 2350692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + 1 - -28 - (-3 - (-12 + 1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5\/2)\/(35\/84). Let j(t) = t. Calculate the smallest common multiple of j(y) and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + 5*-2*sqrt(88))\/(2*sqrt(968)).\nAnswer: -9*sqrt(11)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 2. Let y(d) = 2*d + 11. Let z(o) = -2*o - 12. Let w(r) = -7*y(r) - 6*z(r). What is -14*s(x) + 6*w(x)?\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262 is divided by 130.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 1\/4 (c) 6 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.0005 plus 5?\nAnswer: -7.0005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 2?\nAnswer: 1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 2743160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12457.\nAnswer: 12457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 1 - 4 - (-1 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130060152, -260120299, -390180444, -520240587, -650300728?\nAnswer: -780360867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**4 - 3*f**3 - 4376829*f**2 - 7127868*f + 3?\nAnswer: -12*f**2 - 18*f - 8753658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 3*n - 5. Let z be a(7). Let s = z - 2. Calculate the remainder when 62 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-122)\/3599*-59 - (-3 + (-1)\/(-1)). Let b = 0 + 0. Suppose -t + b = -f. Solve -f = j + 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8337391 and 4?\nAnswer: -3.3349564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d**3 + d**2 - 4*d. Let f(r) = -r**3 + r**2 + 2*r + 3. Let c be f(0). Let b(o) = o**2 - c*o - 2*o + 7*o**3 - 2*o. Give 3*b(q) - 5*g(q).\nAnswer: q**3 - 2*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441 divided by 11?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/11)\/(14654\/4741) - (38\/357)\/1?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 478*o**2 - 3*o + 4. Let g be (-3 - -2 - -1)*1. Suppose i - 5*y - 6 = g, 0 = -i + y - 3*y - 1. Is l(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4296, -6, 18, 28 in increasing order.\nAnswer: -6, 18, 28, 4296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, h: 9, w: 2, u: 3}. Give prob of picking 1 f and 2 h.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*t + 317*t + 78 - 986*t + 328*t in the form q + s*t and give s.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -5*r + 20. Suppose r*q = -0*q - 20, -3*z = -q - 113. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5717*a = -105474 - 54602 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 6*j + 3. Suppose 92 = 4*n + 4*v - v, -j*n = 2*v - 68. What is the greatest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86 - 104 - (0 + 122) - (10 + -22).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 16 = 4*j. What is the least common multiple of j and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 39 + 44 = 0. Is 39 a factor of -2*((-4)\/(16\/(-118)))\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-50 + 15 + 16 - -23) + -1 + -75?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 != 1406\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of w**2\/2 - 520. Let j(k) = 103*k. What is j(u(v))?\nAnswer: 103*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxwexewxew. What is prob of picking 1 e and 1 m?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7849*b**2*t - 36*b + t - 124 wrt b.\nAnswer: -15698*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2 times 0.04?\nAnswer: -0.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4.1 (b) -0.2 (c) 3\/88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c - 7*c + 4*c - 8*c.\nAnswer: -18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + -1 - (-20 + 9 + 11).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1747425 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1, -210, -5.\nAnswer: -210, -31, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -54*l - 20*l + 25*l as z*l + m and give z.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -273543 greater than -272489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (2 + -2)\/(-1). Solve b + 2 = 4*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2. Let k(r) be the third derivative of 11*r**4\/8 - r**3\/3 - 34*r**2 + 4*r. Calculate t(k(y)).\nAnswer: 2178*y**2 - 264*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24700701?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u = -c + 2*u + 14, -4*c + 3*u - 1 = 0. Let v be ((-3)\/c)\/(9\/3). Let z = 2 + -1. Which is smaller: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51.6? (a) -5 (b) 2\/5 (c) -1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 298240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(33)\/sqrt(3) - (sqrt(11) + 0)**2*-5.\nAnswer: sqrt(11) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 942*k**3 + 916*k**3 - 1202*k**3.\nAnswer: 656*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1428 = -13*f + 19*f. Let l = f - -334. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -334*o**5*s - o**4*s**3 + 851*o**2 + 2*o*s**3 wrt o?\nAnswer: -20040*o**2*s - 24*o*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1076 is divided by 324?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23580 a multiple of 262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of -95\/2*v**2 - 96 + 0*v**4 + 0*v + 0*v**3 + 31\/5*v**5. Find the second derivative of w(i) wrt i.\nAnswer: 372*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98316?\nAnswer: 2, 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + f. Suppose 136 = -32*h + 30*h. Let o = 69 + h. Let a(r) = 2*r**2 - 137*r + 980. Let b(v) = o*a(v) - 3*u(v). Factor b(q).\nAnswer: 5*(q - 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 3*a. Let s be (-2331)\/(-24) - 5\/40. Let b = s + -487\/5. Is a at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 + 28 - 6) + (-8 + 6 - 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -366\/7 or -53?\nAnswer: -366\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**3 - 3*p**2 - 6*p - 4. Let z(b) = -30*b**3 - 16*b**2 - 32*b - 20. Calculate 16*x(t) - 3*z(t).\nAnswer: -6*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 16.1. Let v = -0.4 + -0.1. Which is the smallest value? (a) u (b) -2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15439661 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 822 divide 1515729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j\/(j\/(j\/((j*j**(1\/3))\/j)*j))))\/(j*j**(-1\/2))*(j\/j**0*j)**2 assuming j is positive.\nAnswer: j**(11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-2)*80\/(-660). Which is the nearest to 0.11? (a) -3 (b) -5 (c) -2\/3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-244737)\/372*(-5)\/(94950\/95). Let n = 3\/6541 + a. What is the common denominator of n and 3 - (-6)\/(-176)*26?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 4*o + 10, 3*o + 11 = 4*b + 3. Let f(u) = 0*u + u + b*u + 5 - u. Let w = -11 - -7. Give f(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.11891 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -5 (c) -28.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20962594 is divided by 5072?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103760.1g to tonnes.\nAnswer: 0.1037601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 8, -28, -108, -244, -448, -732?\nAnswer: -1108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -21\/2973752?\nAnswer: -21\/2973752","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 53, 124, 237, 398, 613, 888, 1229?\nAnswer: 1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, -334, -747, -1306, -1999, -2814, -3739?\nAnswer: -4762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -105400806\nAnswer: 42160322.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/11)*u)\/((u*u*(u*u\/u**15)\/u*u)\/u)*(u*u*(u*u**(2\/5)\/u*u)\/u*u*u)\/u**(-3\/7) assuming u is positive.\nAnswer: u**(7284\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cy when two letters picked without replacement from {r: 3, y: 1, c: 6, d: 5}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20601756 divided by 81753\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 300840033 to the nearest integer?\nAnswer: 17345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p*p*p**(-6)*p)\/p)*p**(-2\/5))**(-10\/7)*(p**(-2)\/p)**40\/(p**(1\/2))**40 assuming p is positive.\nAnswer: p**(-1026\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83795?\nAnswer: 5, 16759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -10981*m - 65890. What is j(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3690)\/(-20295)*(-33)\/8.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -310642.5051 to the nearest 10.\nAnswer: -310640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/8907728 and -89\/4191872.\nAnswer: 71261824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**4 + 2*w**4 - 4*w**4 + (2*w**2 - 3*w**2 + 0*w**2)*(6*w**2 - w**2 - w**2))*(2*w - 3 + 3)*(10 - 8 + 3).\nAnswer: -20*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 169 + -169. Which is the third smallest value? (a) r (b) -5 (c) 0.17 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 99 times -2338\nAnswer: -231462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -149, -192, -237?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = -11*x + 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -4*h - 17, h - 6*h - 10 = -c. Let q = -6 - c. Find the common denominator of (-183)\/(-27) - (q - -2) and -55\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 12 = y. Solve 5*x = 3*x + y for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hffuggfgfuh. What is prob of picking 2 f and 2 h?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (44830\/(-195))\/(38\/30 - 1). Let k = m + 862. Which is the nearest to 0.2? (a) -2\/7 (b) k (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -265970 divided by 53194.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kim when three letters picked without replacement from {n: 1, b: 1, k: 8, m: 1, i: 1, d: 2}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100849285 is divided by 183?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 4, 1\/4, 5662.44 in increasing order.\nAnswer: -1\/4, 1\/4, 4, 5662.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3221, 6787, 10257, 13583, 16717?\nAnswer: 19611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47\/84 + 3\/28. Suppose 3*c - 120 + 120 = 0. What is the second smallest value in g, c, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {g: 1, m: 2, b: 1, z: 1, v: 1, y: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1129?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72 - 70 - ((-2 - 1) + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 6*r - i - 8, -4*r + 2*i = -2. Let n be r\/(-4) - (-10870)\/40. Suppose -5*w + n = -3*w. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2 + 12*h - 39. Let v be i(3). Solve -26*o + v*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -21 (b) 220.63 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 11*z**2 + 11*z - 5. Suppose 4*p = 5*g - 4, 3*g - g - 5*p + 12 = 0. Suppose 4*w + 4 = 0, -u - g*w = -0*u - 6. What is the units digit of h(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1021700211?\nAnswer: 3, 7, 1493, 32587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = u + 5*y, 443*u - 444*u + 24 = 4*y. Suppose -19 - 4 = -q - 2*l, -2*l = -3*q + 37. What is the highest common factor of u and q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -29, -1338 in ascending order.\nAnswer: -1338, -29, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2057) + -4*sqrt(2057)*1 + -4 - 6*(sqrt(2057) + 3 + (sqrt(2057) - (-1 + sqrt(2057)))))*-3.\nAnswer: 336 + 1188*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10273545*p**3 + 5465812*p**2 + 2 wrt p?\nAnswer: -61641270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*x = 75, 0 = 3*y + 5*x - 10 - 33. Suppose y = 5*q - q. Put 1, 2, q in increasing order.\nAnswer: 1, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 1. Let r(p) = -76*p - 6. What is 2*f(h) - r(h)?\nAnswer: 82*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -7. Put -5, -8, k in increasing order.\nAnswer: -8, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6913052 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 2*a**2 + 2*a + 3. Let t be x(-3). Suppose -4*j + t + 10 = 2*g, 5*g = j + 7. Solve -6 = -2*z + g*m, 2 = 5*z - 2*m - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 678 is divided by 170?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1876*r = -1845*r - 14136. List the prime factors of r.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.5 + -35. Let o = -8.5 - n. Suppose g = -1 + 2. Which is the closest to o? (a) -0.4 (b) 3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2056044 = f - 3*u + 465969, -3*f + 4770221 = -5*u. Let l = f - 3409072. Round l to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and 1.8419.\nAnswer: 0.092095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqsp when four letters picked without replacement from {d: 3, s: 1, q: 3, p: 5}.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 3*w**2 - 5*w + 9. Let q be i(4). Solve 18 + 2 = q*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 10. Let s(p) be the second derivative of 2*p**3\/3 + p**2 - 602*p + 2. Determine s(v).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - -2. Let v(h) = -q*h + h**3 - h + 4*h**2 + 0*h**3 - 3. Give v(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1071 is divided by 215.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-6)*(i\/(i\/i**(-2\/5)*i))\/i*i*(i**(1\/4)*i)**(-2\/3))\/((i**(1\/2))**(9\/2))**(3\/5) assuming i is positive.\nAnswer: i**(-103\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000325 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1038965 and 0.2?\nAnswer: -207793","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1279150968 a multiple of 488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**5 - 16*a**4 + 744*a**3 + 3712*a**2 - 59392*a + 98304 = 0.\nAnswer: -16, 2, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/5 - 26358*f\/5 + 8871797\/5 = 0.\nAnswer: 341, 26017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 919 = -33*y - 58*y - 355 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 151928740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/30*(-15)\/(-8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -29*h - 14. Let r(k) = -5*k - 65. Let l be r(-14). Suppose l*t = -0*w - w - 18, 5*t + 34 = -3*w. Does 42 divide y(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - c = 6. Suppose -4*r = -3*p - 8, r + 0 = -3*p + 2. Let v = c - r. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 726 - 3?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79.22222 meters?\nAnswer: 79222.22","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*m - 25*m - 37*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, d: 3, a: 2, c: 3}. Give prob of picking 2 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 10*a - 5. Suppose -a + 2 = -l. Let o(u) = -38 + 45 + u**l + 2*u**2 - 9*u**2 - 2*u. Calculate o(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3750 - -7901. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - -1) + 1 - (8 + -8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**5\/60 + h**4\/2 + 5*h**3\/6 + 5*h**2\/2 + 11. Let p(r) be the second derivative of t(r). List the prime factors of p(6).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7042 + -336.36.\nAnswer: 6705.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**3 - 22*r**2 - 28*r + 4. What is the thousands digit of h(14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y*(y\/(y\/y**(-4)))\/y)\/y*y*y*y)\/y*(y**(-2\/15)\/y*y)\/y)\/(y*y**(2\/3))**(3\/17) assuming y is positive.\nAnswer: y**(-874\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 + 313. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/((-15)\/(-25)*5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f - 33*f + 83*f - 31*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wbdyjoydwodjjw. What is prob of sequence jj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + 408 - 13*d - 62 + 2136.\nAnswer: -13*d + 2586","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -7. Let c(d) = -d**2 + 4*d + 1. Let a be c(v). Let g = -1537 + 1537.5. Sort a, -0.1, g in increasing order.\nAnswer: a, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44.4838791 to two dps.\nAnswer: -44.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2350 = -9*m - 631. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366291 to the power of 1\/2, to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -4164224, -4164214, -4164208, -4164212, -4164232, -4164274, -4164344, -4164448?\n\"Answer: -x**3 + 4*x**2 + 5*x - 4164232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3022289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 7. Let v be (-408)\/i - 2\/5. Calculate the highest common factor of v and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 12:16 PM?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 12290*z = 12528*z - 7378 for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1229559632.\nAnswer: 2, 7, 29, 378559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 5*v, 3*v + 3*c - 1 = -v. Let g be v\/(-2 - (-3)\/3). Let o be 3*-1 - 45\/g. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/11)*p*p*p\/p**(-2\/31))\/(p*p**(-2\/15)\/p)**43 assuming p is positive.\nAnswer: p**(43141\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*i = -11. What is the remainder when 21 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -48 + 48. Is z less than or equal to -0.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -117.7?\nAnswer: -353.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2562560 to the nearest 100000.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/3 - 63530*j\/3 + 84696.\nAnswer: 2*(j - 31761)*(j - 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -67*f + 42 + 5. Let k(n) = -2*n - 2*n + 5*n. Give k(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70 times 2009224?\nAnswer: 140645680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3860474.\nAnswer: 2, 1930237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*l**2 + 3 + 5*l**2 - 7*l**2 to s + b*l**2 + d*l and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*(w**(8\/3)*w)\/w)\/w*w*w)\/w**(-2\/17)*w*w**17\/w*w*w*w*w*(w**(-2)*w)\/w assuming w is positive.\nAnswer: w**(1213\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.0898 + -0.9102. Sort 4, y, -0.015, -4.\nAnswer: -4, y, -0.015, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ka when two letters picked without replacement from {a: 1, k: 2, r: 5, n: 3, s: 1, w: 1}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*z**2 + 1 - 144*z**2 - 1 + 12*z.\nAnswer: -8*z**2 + 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-4*m**4 + 3*m**5 + 4*m**4 + (7 - 3 - 3)*(-m**5 + 0 + 0)).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -10*t + 11. Let f be m(5). Let k = f - -41. What is the greatest common divisor of k and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + -9132?\nAnswer: -9165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37404?\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13289*r + 865236 = 187497 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 9849?\nAnswer: 9847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m + 90. Calculate j(32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccdccccccccd.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 330915 divided by -39?\nAnswer: -8485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5038 and 17783224?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3642 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 735.079 litres in millilitres?\nAnswer: 735079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 5*a**3\/3 + 3*a**2\/2 + a - 5. Is g(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-11)*o\/(o*o\/(o*(o**3*o)\/o)) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/10))**(-5\/4)*x**(-23)*x*x**(9\/7)*x assuming x is positive.\nAnswer: x**(-1097\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -18*f**3\/17 + 16708*f**2\/17 - 1155262*f\/17 + 255900\/17 = 0.\nAnswer: 2\/9, 75, 853","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 170.54*-0.5.\nAnswer: -85.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -349 - -657. Is o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 458?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7)*q**(8\/3))**(7\/4))**17 assuming q is positive.\nAnswer: q**(-1547\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*b + 776 = 0, 12*o = 7*o - 5*b + 3920. Let q = o + -408. Does 22 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17967138 by -17967138.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 7) in base 2?\nAnswer: -1000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-39)\/65 + 2\/((-10)\/(-13083))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -39655 + -0.850919.\nAnswer: -39655.850919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(90\/(-28) - -3). Suppose 3*u = 4*r + x + 23, -67 = -4*u + 5*r. What is the remainder when u is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4, j: 1, g: 3, d: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d + -76e641?\nAnswer: -76e65e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9815414 is divided by 10067.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11 - 11 - d + 285*d**5 + (-5*d**2 + 4*d**2 + 2*d**2)*(2*d**3 - d**3 - 3*d**3).\nAnswer: 283*d**5 - d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 1)*(-16*u**3 + 28*u**3 - 27*u**3)*(7*u - 3*u - 2*u).\nAnswer: 240*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.108 + -0.065. Let x = y + 1.957. Is x >= 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 316811 or 2217685\/7?\nAnswer: 316811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, 1.9, -24\/1303, -1\/2?\nAnswer: -24\/1303","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -537*z**3 - 11800*z**2 + 311*z + 61. What is c(-22)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 76941967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) + (-55)\/15. Let r = k + 9. Suppose 2*n + r = 3*s - 2*n, -4*n - 11 = -5*s. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/3442 and 2\/(-5 - -3) - (207\/42 - 5).\nAnswer: 24094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 955549 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 5 = -133*h + 132*h, -3*h = -5*z - 15 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 3, q: 3, k: 1, d: 1, y: 1}. Give prob of sequence qa.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/15*4\/((-32)\/366) and 8\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -12*d + 2*d**2 - 3*d - d**2 + d + 16. Suppose -3*j - 1 + 7 = 0, -2*s = 3*j - 32. Let i be r(s). What is the highest common factor of i and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/2 + 23*c\/4 - 11\/4.\nAnswer: -(c - 11)*(2*c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1438225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - z + z**2. Let v(s) = 3*s + s - 2*s. Determine k(v(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 5*m**2 - 2*m - 7. Let t be g(-5). Suppose 0*i = -t*k + i + 25, i = -2*k + 10. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -886 - 332824729\nAnswer: -332825615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/7 and 776\/92*(0 + 1 + (-3819)\/3876)?\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*m + 35 = -5. Suppose -m*u - 2*u + 77 = 0. Calculate the lowest common multiple of u and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50244 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 113736 and 200.237664.\nAnswer: 113936.237664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -191 + 772?\nAnswer: 581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j + 57*j + 14*j = -660 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -82, -247, -494, -829, -1258?\nAnswer: -1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvsvvvvvvv. Give prob of picking 3 v.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51378 - 7865*d**2 + 7863*d**2 + 51378.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 541\/318 + -39\/106. Let l(a) = -2*a + 3. Let d be l(2). Sort -3, 0, w, d in ascending order.\nAnswer: -3, d, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -20*m**2 + 19*m + 45. Let y(b) = -240*b**2 + 230*b + 540. Let k(g) = -35*q(g) + 3*y(g). Solve k(p) = 0 for p.\nAnswer: -1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32\/11 less than -1.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3635035 greater than 3635034?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (1 + 1) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6084 is divided by 107.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1, 36\/19, -22, -14, 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 8 - 2*u + 6 + 3*u. What are the prime factors of b(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/42*14\/(14\/(-9)))\/(87\/(-2842))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 839524 - 839524 - m**2. Let z(t) = 59*t**2. Determine f(z(l)).\nAnswer: -3481*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 9 = -2*v. Let k(u) = u**3 + 8*u**2 - 9*u + 13. Suppose 3*t - 81 - 27 = 0. Calculate the remainder when t is divided by k(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45a990 (base 11) to base 2\nAnswer: -10110010101100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 319 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/36 + ((2 - 0)\/(-1) - -4).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaxanxgggxaxprxrgpxx. What is prob of sequence prgn?\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11104\/61, 1, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 13 = 3*o, 1 = -2*h - 2*o + 9. Suppose -2 - 3 = h*j. Suppose 4*v = 5*v. Which is smaller: j or v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 93275 (b) -2 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - c + 1126 = 1125, 3*c + 9 = 5*k + 2 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973.\nAnswer: 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 33. Let z = -15.728 + x. Let u = 0.33 - z. What is u rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -45. Let w = -7 + z. Is -24 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -730\/9 - -81. Let g = 0.15 + -0.05. Let v = -0.2 - -0.7. Which is the closest to g? (a) -1 (b) x (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/28989 and -89\/1546080.\nAnswer: 4638240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-56)\/16*((-44928)\/3458 - -13)\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16425?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35*o**3 - 7*o**2 - 5438 with respect to o.\nAnswer: 105*o**2 - 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.185 - -0.1108. Let t = 2.354096 + u. Let n = -0.28 + t. Round n to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1681003 and -0.1.\nAnswer: 1681002.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) 0.408 (c) 0.03 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1918384738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 12*q = -18, -81*q = -3*n - 86*q - 54 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2258 is divided by 188.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/45 + (-24)\/(-5). Suppose 11*w - 781 - 3113 = 0. Suppose -o*v + w = v. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2352) + 1)*6*-5*2)**2.\nAnswer: 201600*sqrt(3) + 8470800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 999 - 995. Sort 82, 5, z, -3 in descending order.\nAnswer: 82, 5, z, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -t - 3*h + 24, 0 = -2*t + 4*h - 22. Let w = -0.01 - 1.99. Which is the nearest to t? (a) -2\/7 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.224 to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -44.1?\nAnswer: -17.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f + 75. Let m be d(0). Suppose 11*g - 8*g = m. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dmvm when four letters picked without replacement from dmmdmddddmdmmmdvddd.\nAnswer: 77\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*w - 544*w + 1424*w.\nAnswer: 894*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 26937418 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 325815683 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 665 - 202 - 1476 - 2201 as f*n + a and give a.\nAnswer: -4544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.99 + -0.11. Let a = 0.28 - z. Let x = 3.60000017 + a. What is x rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 343121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 c when three letters picked without replacement from {s: 2, c: 8}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -0*z. Suppose z*b + 1554 = 6*b. Suppose 9*c + 88 = b. Calculate the remainder when 72 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 24, 3 in increasing order.\nAnswer: 3, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32968 + 3300796.\nAnswer: 3267828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*b*f**6 - b*f**3*s - 3*b*f*s + 7*b*f + 6*f**6 + 3*f**2*s - s wrt f?\nAnswer: -360*b*f**3 - 6*b*s + 720*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27*(-368)\/(-7452))\/(30\/1).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -s**6\/450 + s**5\/150 + 8*s**3\/3 + s**2\/2 - s. Let q(y) be the second derivative of c(y). Factor q(k).\nAnswer: -4*k*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 7. Solve -v*a - 8 = 2*z, -a = -z - 2*z - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(3) - sqrt(3)*-2) + 0 + sqrt(63) + 3*sqrt(7)*-1 + -2*(0 + sqrt(7))**2 - (sqrt(420)\/(sqrt(60)\/sqrt(5)))\/(sqrt(15)\/(sqrt(21)\/sqrt(7))).\nAnswer: -14 - 2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/((-3)\/(-5))*(-2396)\/(-10). Suppose s = -64*b + 66*b. Suppose -4*g + b = 171. What is the tens digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 70*f**2 - 2*f + 1. Let p be h(1). Suppose 3*z + 4*i - 245 = 0, 7*i = z + 2*i - p. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 507*f + 508*f = 2*t + 14, -11*t + 47 = 2*f for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*f - 220 = -22*f. Calculate the remainder when 130 is divided by f.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011110110100111110 (base 2) to base 9.\nAnswer: -651721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 7:37 AM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*u**5\/7 + 213*u**4 + 408*u**3 - 4365*u**2\/7 = 0. What is u?\nAnswer: -485\/6, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 - 96\/16) + (-4)\/6. Let t(u) be the first derivative of -2*u**2 + d*u**3 - u - 8. Give t(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 11. What is the third biggest value in 4, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 6*v**2 + 72*v**3 - 6*v**2. Let o be t(1). Suppose z + 2*z = o. Calculate the common denominator of -8\/7 and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + m = -8, -4*o + o + 3*m = -6. Let f = o + 6. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 181 and 640?\nAnswer: 115840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 64, -58\/3, -2\/43, 3?\nAnswer: -58\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6c7 + -1?\nAnswer: -6c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13362 and 306.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 2)*9\/6. Suppose 9*m + 6 = b*m. Let g be ((-2)\/(3 + m))\/(4\/(-52)). Which is bigger: 14 or g?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s, 22*s - 26*s + 400 = p. Calculate the highest common divisor of p and 1280.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -5*b + 91. Let c be a(17). Suppose 1480 = 11*x + c. What are the prime factors of x?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 15*f**2 + 16*f + 2. Give r(14).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 10 = 5*q, -4*x + 2*q = -3*x - 1. Let g(n) = 8*n**2 - 2*n - 7. Is g(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*n**4 - 3 + 20*n**4 + 17 + (-2*n**4 + 0*n**4 - n**4)*(2 - 2 + 2).\nAnswer: -4*n**4 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1152\/(-8)*552\/(-1472).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from powwwwtwowupiwwpwwww. What is prob of picking 1 w and 1 t?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*c + 72 - 17. Suppose -45 = 3*h - 2*o - 41, -20 = -c*h - 2*o. Factor 0 - 1\/10*p**h + 0*p.\nAnswer: -p**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56) - 2*(sqrt(56) + sqrt(168)\/sqrt(3)))\/(-2*sqrt(32)) - ((sqrt(49)*-2)\/sqrt(7) + ((sqrt(7) + 2)*-3 - sqrt(7)))**2.\nAnswer: -288 - 285*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*x + 20*x + 95*x.\nAnswer: 107*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 140 + -120 + (-13 - (5 - 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - n**2 - n + 2. Let f be (2 - 4)\/4*-6. Suppose -4*k + 0*y + f*y + 4 = 0, -16 = k - 5*y. Suppose 4*b + b = -k*a + 4, a - 1 = 2*b. Give s(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 63, 95, 137?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 17. Let o = -4.6 + x. Put -4, o, 1\/2 in descending order.\nAnswer: 1\/2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.1 + -1.4. Let q = s - -1.8. What is q rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 v when three letters picked without replacement from {i: 7, p: 1, b: 1, v: 4, q: 2, h: 2}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -17367060 divided by 15646\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1905 * -9\nAnswer: -17145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-12))\/(6\/24)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 300, -1, 8\/7 in descending order.\nAnswer: 300, 8\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 divided by -5?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + ((-8)\/1)\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2815 or -40\/353?\nAnswer: -2815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 286*l**2 - 1712*l - 34. Determine x(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.014 (b) -0.1 (c) -2 (d) -0.2 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 41199132 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 3 j when four letters picked without replacement from {j: 3, w: 1, d: 4, o: 3}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g, 2*s - 2*g - 8 = 0. Suppose s*w - 1148 = 84. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -1\/191, -2\/7, 23, -41, -0.1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 84*d + 7 - 4*d**2 - 82*d - d**2 - d**3. Let s be u(-7). Let t = -37 + s. Does 9 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/36*699\/(-4893)\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46510 - 46506. Let k(y) = y + 1. Let h be k(-2). Put 2, h, -8, m in ascending order.\nAnswer: -8, h, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.4512 and -4.\nAnswer: -5.4512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1192 * -106018\nAnswer: -126373456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 137*k - 2245. Give j(17).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6767 + -6768. Which is smaller: 2\/263 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117534.6999985 + 117535.1. Let m = 0.4 - p. Round m to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -4\/361901, 2\/35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5003 is divided by 67?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 58\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 - f)*(300 - 26 + 664) to the form s + m*f and give m.\nAnswer: -938","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 114309 divided by -2931\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3991 - -3999. What is the remainder when 1230 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**2 + 12*m + 38. Let b be n(-5). Find the first derivative of -2*r**b + 17*r**4 + 2*r**3 + 48 + 21*r**4 wrt r.\nAnswer: 152*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 2) + 6 + -17 + 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -80 (base 14) to base 5.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + s = 3, 3*d - 3*s - 15 = 0. Let o be 9838*(507*-1 - d). Let x = o - -1307542. Round x to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 221*i**2 + 10*i. Let l be z(1). Calculate the highest common divisor of l and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 40*j**2 + 6*j - 6. Let s(d) = -799*d**2 - 119*d + 119. Calculate 119*g(k) + 6*s(k).\nAnswer: -34*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/17, -3, 0.3, 1\/3, 26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21642941 > 21642942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**2\/4 - 205*b + 42025 = 0?\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*z + 1051 + 9011 = -5868. What is the remainder when 2430 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 16*d**2 + 90*d - 67. Let s(j) = 2*j**3 + 20*j**2 + 90*j - 66. Let m(c) = -5*b(c) + 4*s(c). What is the first derivative of m(a) wrt a?\nAnswer: 9*a**2 - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14357.216 + -0.4?\nAnswer: 14356.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 532 = 3*h + h, -3*o = -3*h - 429. What is the greatest common divisor of o and 92?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 n when two letters picked without replacement from {o: 16, n: 2}?\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 3255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 6*m**2 + m + 12. Calculate the remainder when 51 is divided by h(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one fifths of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/140)\/(-11)*(-833)\/(-952).\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-54)\/56*(-272)\/102)\/(2\/(560\/12)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 - 152. Let t(m) be the third derivative of -2*m**2 + 0*m - 1\/12*m**4 - 1\/6*m**3 - 7\/60*m**5 + 0. Calculate t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g**3 - 5*g**3 + g**3 + 20*g**2 as v + z*g + k*g**3 + i*g**2 and give i.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in millimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -101*a**4 - 5*a**2 + 5115891 wrt a.\nAnswer: -404*a**3 - 10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 25*i + 60. Calculate a(26).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -3. Let b(g) = g**2 + 8*g + 10. Let n = -10 - -3. Let p be b(n). Solve p*h + 0*h = l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7329 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 5*k**2 + 8*k**2)*(0*k**3 - k**3 + 0*k**3) + k**5 - k**5 - k**5.\nAnswer: -12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k + 2\/17 - 2\/17*k**2.\nAnswer: -2*(k - 1)*(k + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9417.81 to the nearest one hundred.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*p**2 + 62*p**2 + 67*p**2 - 194*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -201, -282, -345, -384, -393, -366, -297?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2035 + -5293. What are the prime factors of 24\/3 + k\/(-3)?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/2)\/((0 + 1)\/(-1)). Let v(c) = -3*c + 4*c + 0 - 2*c - 3. Let b be v(-7). Solve p = b*s - 8 + 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-27)*h**(10\/11)*h assuming h is positive.\nAnswer: h**(-265\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88 = -22*k, 70*m - 67*m - 4*k = -116 for m.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1655 (base 11) in base 6?\nAnswer: -13445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -27*f - 159. Let z be k(-6). Suppose 21 = z*q + 3. Which is bigger: 7 or q?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 448?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o + 44*o = 83*o + 6095. Calculate the smallest common multiple of o and 2.\nAnswer: 12190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (1 - (-2 + 0) - 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -8*z**2 + 24*z + 15. What is x(6)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*(-1 + 3))\/((-2)\/(-4)). Suppose -2*x + 0*x - 3*u = -955, -c*u + 1900 = 4*x. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 0, -5*y = -4*p - 2 + 32. Is (-155445)\/(-35) + y\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1319 + -669. Suppose c*i - 646*i - 80 = 0. What is the highest common divisor of i and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -15362, 2, 0.3, 5, 0.2 in decreasing order.\nAnswer: 5, 2, 0.3, 0.2, -5, -15362","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -264 + 1601*u**2 - 431 + 7*u + 31 - 1603*u**2 as m + w*u**2 + r*u and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.028598 - 8.689302. What is w rounded to one dp?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18333 and 21049.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*s**2 + 6*s**2 + 35 + 7*s**2.\nAnswer: 19*s**2 + 35","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 1, -7*x = -10*x - 3*u - 9 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -133 or -137?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-506)\/(-66) + -9)*12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -736206 rounded to the nearest 1000?\nAnswer: -736000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + 0.07. Let a = -8 - -7.68. Let b = w - a. Sort 2, 0.04, b.\nAnswer: 0.04, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16790 and 208610?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(990\/(-4))*(-36)\/8\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3793619 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+5268\nAnswer: 5267.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(1\/5))\/z*z*z**(2\/11))\/(z**(-3)*z**4) assuming z is positive.\nAnswer: z**(-1\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32*1\/8*(42\/(-49))\/6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:22 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 3:47 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4, 0 = 2*x + 2*q + 1656 - 28814. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (3 - (-6)\/3). Let o be -3 - (((-3)\/1 - g) + -15). Is (-1659)\/(-24) + 1\/o*-1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -16*i + 5. Let c = -40 - -45. Let v(j) = -15*j + 5. Let f(y) = c*p(y) - 4*v(y). What is the first derivative of f(o) wrt o?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 44 - 31 = 0. What is the greatest common factor of j and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -588 - 1014*v + 585 - 1118*v + 628*v - 996*v as c*v + l and give c.\nAnswer: -2500","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -1*(0 + (1 + sqrt(11))*-3) + (sqrt(11) + sqrt(22)\/sqrt(2) + -1 + (sqrt(11) + 1)*-2 + sqrt(11))*3)**2.\nAnswer: -72*sqrt(11) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 10 = -4*s, 0 = 5*o + 2*s + 142 - 167. Let y = -0.8 + -0.2. Which is the third smallest value? (a) 1\/5 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5138559 is divided by 518.\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(52))**2 + 5.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 10 = -2*i + 5, -25 = -3*i + 5*c. Let m(v) = -v**2 + 9*v - 7. Let d be m(7). Let r = 9 - d. Which is smaller: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2213*l + 2303*l - 450 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y*y*y\/(y\/(y*y\/(y*y\/(y\/(y**(1\/2)*y)))*y*y*y))*y*y*y))\/y)**(3\/8) assuming y is positive.\nAnswer: y**(-39\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 - 1 + 2*v**2. Let t(o) = -5*o + 0*o + 0*o. Give b(t(g)).\nAnswer: 50*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.9847 nanometers in centimeters?\nAnswer: 0.00000909847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 29 = -3*f, -m - 2 = 2*f + 4. Let s(t) = -2*t**2 + t - 5. Let c(r) = -5*r**2 + 2*r - 14. Let v be (1\/2)\/(1\/6). What is m*s(q) + v*c(q)?\nAnswer: q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1037334 by 3.\nAnswer: -345778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*d - 4*d, 2*n - 3*d - 2 = 0. Let x(s) = -4*s**3 - 3*s**2 - 2*s - 3. What is the remainder when 41 is divided by x(n)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 3. Let v be m(4). Let c = 2 + v. Let k(h) = 3*h + 1. Determine k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u - 90 = 0. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/12, 1, -2, 0.09?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -222*b + 179*b + 40635. Calculate the greatest common divisor of b and 3915.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 290, -819, 2 in ascending order.\nAnswer: -819, 2, 290","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6763 times -11?\nAnswer: -74393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -180 divided by 2136\nAnswer: -15\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -766082, -765633, -764884, -763835, -762486, -760837, -758888?\n\"Answer: 150*b**2 - b - 766231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8400612 divided by -138?\nAnswer: 60874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 0)*(-2)\/(-4)*(24 - 20). Let v = 7 - -19. Solve -x*u - v = -46 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18282 - 0?\nAnswer: -18282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -453 - -769. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + n - 6 + 0 = 0, 5*b + 3 = -2*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -3*c + 16. Suppose -4*p + 6*v + c = 4*v, 4*v = 5*p - 45. Solve -p*x - 7 = 2*k, k - 2*k + 4 = -5*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(1300) - 3*(sqrt(1300) + 1 + sqrt(1300) + sqrt(1300) - sqrt(1300))) + sqrt(1300) + 4 + 2*-1*sqrt(1300)*2)**2.\nAnswer: -83201 + 160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6120 < 173?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/399 (b) 4 (c) 0.3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r = 13*r - 96. Suppose -r*w - 3*i = -783, -2*w - w - i + 581 = 0. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-572)\/66*29\/((-580)\/(-60)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 42*l**2 - 7 + 18*l**2 + 27*l**2)*(-1 + 4 - 1).\nAnswer: 6*l**2 - 2*l - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7609285 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.9136 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**5 + 957*j**3 + 2003*j - 9?\nAnswer: -60*j**3 + 5742*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 108808 take away -46371166.1?\nAnswer: 46479974.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -426932958 take away -0.4?\nAnswer: -426932957.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 1023.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-445)\/(-178)*(9\/5)\/3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3063.1 - 3231.17. Let z = -168 - h. Sort 2, 4\/5, z in descending order.\nAnswer: 2, 4\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 60251739?\nAnswer: 5\/60251739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of -g**3\/3 + 13*g**2\/2 + 16*g + 2138. Give z(10).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*v - 43*v - 36 = 12 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 5*o + 20 = 0, -3*y - 22*o + 21*o = -4. Factor 98\/13*u + y - 28\/13*u**2 + 2\/13*u**3.\nAnswer: 2*u*(u - 7)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 3*m + 3 = 0. Let j be ((-7)\/21)\/(m\/(-9)). Suppose -j*p = p. Solve p*q + 3*q = -15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 divided by 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142894522.\nAnswer: 2, 5521, 12941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + (-5 + 2 + sqrt(80) + sqrt(80) + sqrt(80) - sqrt(80)) + (sqrt(80) - (sqrt(80)*-4 + 1)))**2.\nAnswer: -15680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 4*y + 14. Calculate j(-11).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-6)*34353\/(-1095479)\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -31541, -63114, -94713, -126338, -157989, -189666, -221369?\n\"Answer: -13*u**2 - 31534*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 7. Let i be g(-5). Suppose 12 = 4*x - i. Solve 1 = -5*k + x for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2 = -0. Let o(k) = -2 - 2*k + 2. Let r be o(-1). What is the closest to c in 5, r, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 0*t + 0*t + (-7*t + 4*t - 2*t)*(-t + t - t**2) + 3*t**3 + 3*t**3 - t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:07 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*j, 3*j + 5 = 2*j + 4*s. Suppose 142*x = -18*x + 160. Is j bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine thirds of a hour in seconds?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 101101 (base 2) to base 10\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*o**3*x**2 - 23*o**3*x - 648440*o**3 + 14650*o*x with respect to x.\nAnswer: -4*o**3*x - 23*o**3 + 14650*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*g**2 - 30*g + 30*g)*(2 - 84*g - 35*g + 70*g).\nAnswer: -833*g**3 + 34*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-48))\/(s\/s**33))\/(s\/s**(23\/2)*s**(-15)) assuming s is positive.\nAnswer: s**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 7*o**8\/16 - 9*o**7\/5 + 109*o**6\/40 - 9*o**5\/5 + o**4\/2 + o**2 + 16. Let b(g) = 0. What is g?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 35 - 5. Calculate the highest common factor of l and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 36681, 36634, 36587, 36540?\n\"Answer: -47*a + 36728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -2, 5, -4 in ascending order.\nAnswer: -4, -2, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65512\/98277 + 2\/32759. Find u such that -b*u**2 - 6 + 4*u = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5857521 and -5?\nAnswer: -29287605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1843 - -1842.85. Which is the third smallest value? (a) 4 (b) f (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.732 + -0.532. Is -20.4 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1428482.98 to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p + 76 - 66. Suppose -5*v = p*d - 9*v - 16, 0 = -d + 2*v + 8. Solve -a + 2*c - 3 = 7, d = 2*a - 3*c + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2771225 less than or equal to 2771228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*z - 727 + 930 - 1146 = 3876 for z.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 27. Solve 4*n = -j - j - 12, 4*n + 4 = -h*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = p, 2*p + 1 = 5*z + 14. Let k be p\/(3\/(3\/2)). Suppose 107 = 5*b + 3*l, 11 + 31 = k*b + 2*l. What is the lowest common multiple of b and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000346 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -4 (c) 2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15517 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000474 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7.7 (b) -38 (c) -15 (d) 0.04 (e) -2\/3 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5222.5 - -0.1.\nAnswer: -5222.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (6*13\/(-1404))\/((-3)\/(-9))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19720, -39428, -59120, -78790, -98432?\nAnswer: -118040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9011 + 9016. Let b be ((-6)\/64)\/(2\/8). What is the smallest value in b, -2\/27, 2\/9, s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 862328011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129468 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = -12*d - 8*d - 6*d + 30*d for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = -4*t + 5*m - 2*m, -4*t - m = -132. Suppose -r + 25 = 5*y - 3*r, 4*r + t = 4*y. Find the second derivative of 3*h + 0*h**y - 11*h - 2*h**3 wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 + 5 = 2*v - 5*t, 0 = 4*v + 3*t - 349. List the prime factors of v.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 446681 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*g - 9 = 5, -n + 4*g = 18. Suppose n*l + 0*l = 0. Suppose l = -r - r + 20. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (309\/206)\/(3\/(-14))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 1 + 0 - 64*x**2 + 5 + 2*x to the form r*x**2 + q + h*x and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 0.09 (d) -5 (e) -12 (f) 1\/3 (g) 0.79\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2201357, -2201330, -2201303?\nAnswer: -2201276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -1. Suppose 0 = -f + d - 0. Suppose 5*i - h = 87, -5 = f*h + 1. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 442*l - 572544 = -7510*l for l.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*n + 20*n**3 - 8*n)*(-553 + 1642 - 793 + n**2) + (-1 - 1 + 3)*(0*n**2 - 2*n**5 + 0*n**2) + 0*n**4 + 0*n**4 + n**5.\nAnswer: 19*n**5 + 5920*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.28 and 0.9?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*5*(sqrt(405) + -2) + -6*(sqrt(405) + -1) + (sqrt(405) - (sqrt(405) + 1 + sqrt(405) + 1) - sqrt(405)))*-2 + 2)**2.\nAnswer: -57528*sqrt(5) + 477016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*w + 3*w + 0*w + (1 + 3*w - 1 + (-4 + 4 + w)*(-2 - 2 + 1) + 5*w - 3*w - 4*w)*(-1 + 1 + 2) to a + n*w and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**5 + 149152*o**4 - 1193452*o**3 + 745976*o**2 + 2088576*o = 0.\nAnswer: -37296, -1, 0, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -10, -1, -2, -19?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -7. Let p be 8\/(-21)*d\/2. Factor -2\/7 - p*j - 2\/7*j**2.\nAnswer: -2*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62901756 to the power of 1\/2, to the nearest integer?\nAnswer: 7931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 46437.6.\nAnswer: -92875.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 15*n**2 + 13*n + 28. Let w be (-63)\/(-4) + (-18)\/(-72). Let m be k(w). What is the remainder when 131 is divided by 2*(-25)\/m*18?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 105.6245 + 0.3755. Let d = -1033.8 + 928. Let t = d + f. What is the second biggest value in t, -0.3, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u + 15*u + 5*c - 431 = 0, 0 = -c + 5. What are the prime factors of u?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 20*z**2 - 123*z - 21. Calculate the least common multiple of 8 and v(13).\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d\/(d**(-3\/7)*d))\/d))**9\/(d**(1\/4)*d)**(-14) assuming d is positive.\nAnswer: d**(443\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000240078096 rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/5 + 2454054*w\/5 + 2454053\/5.\nAnswer: (w + 1)*(w + 2454053)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -2) + (-4 - -12) - 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-20))\/((-2)\/24). Suppose 37 = m*w - 20. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**6\/10 - 21*u**5\/20 + 4*u**4 - 6*u**3 + u - 192. Factor r(o).\nAnswer: 3*o*(o - 3)*(o - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004996275745 to 4 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of d**4\/8 + d**3\/3 + 7*d**2. Let n = -1 + 4. Determine w(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -6*g - 1. Suppose -3*p + 2*p = -2*q - 190, 0 = 2*q + 5*p + 190. Let n = 96 + q. What is d(n)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12464 divided by -82.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -525354 (base 6) to base 5.\nAnswer: -2331234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f. Suppose 4*n - 79 = -27. Suppose -a + 77 = 6*a. Let c(o) = n + 12*o - a - 5*o. Give c(v(p)).\nAnswer: 14*p + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-40)*(-120)\/126.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 43470 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4200 and 2400?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8351227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -12. Let f(p) = -p**2 - 5*p + 3. Let n be f(-6). Let x(o) = 5*o + 3. Let b be x(n). Let q(r) = -2*r - 14. Let z(k) = -1. Give b*z(v) + y*q(v).\nAnswer: -2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h + 23. Give a(33).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1133455 - -33?\nAnswer: -1133422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 4*j, 6*d + j = d. Suppose 3*k + d*k = 12. What is the second derivative of -122*n**4 - 4*n + 130*n**k - 3*n wrt n?\nAnswer: 96*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (34 - -3) + (203 - 200)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 4*b**2 - 2*b**2 + (-4 + 4 + 4*b)*(0 + 0 - 2*b))*(0*b + 4 - 2*b - 5).\nAnswer: 8*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372 is divided by 94.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 6:57 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -125a (base 14) in base 11?\nAnswer: -2464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27083*q - 660 = 27053*q for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 13. Let n(k) = k. Let i(x) = l(x) + 3*n(x). Let p be i(-6). Let f = 77 - 73. Sort p, f, 3.\nAnswer: p, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 6162570035?\nAnswer: -6162570034.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 108994605 to the power of 1\/2, to the nearest integer?\nAnswer: 10440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m + 100 = 4*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -659*g - 504*g - 968*g + 296*g - 1292*g to the form k + t*g and give t.\nAnswer: -3127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 8) in base 9?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 3 + -1 - (-117525)\/(-50). Let h = g + 2300. Find the common denominator of -119\/10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-3*f - 4*f + f) + (-2 - f + 2)*(0 - 2 + 3) - 7*f + 3*f + 3*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 15*v + 18. Let d be h(16). Solve 2*o = o + d for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-4 - -6) - (-2372 + 2308).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**2 + 4*o. Let m(q) = 2*q + 210. Give z(m(j)).\nAnswer: -32*j**2 - 6712*j - 351960","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 15 = 5*w + 21, 12 = -4*w. Solve b = 337*m - 336*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 3:31 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 6:16 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -874 + 1267. Calculate the remainder when s is divided by 129.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*t + (-2 + 1 + 0)*(-t + 0*t + 0*t) + 0 + t + 0 - 9*t + 27*t - 14*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 121687 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.6583523 - -5557.7.\nAnswer: 5558.3583523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1114554296 a multiple of 11927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 2916.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4813 + 1.4013. Which is the fourth smallest value? (a) y (b) -3\/49 (c) 0.2 (d) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -315.8+-1.4\nAnswer: -317.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 617403419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2 - (32\/(-5))\/16. Suppose 2*r = -2*r. What is the nearest to r in b, 0, 0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*f - 5*t, 0 = 2*t + 6 - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -150, -276, -402, -528?\n\"Answer: -126*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 39 = -16. Let g be 3 + d\/5 + 0. Is g at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/9)*x\/(x**18\/x)*x)**(4\/5) assuming x is positive.\nAnswer: x**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-6)\/4*70\/525.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, 0.3, 2\/11, -0.8, -115, 8 in increasing order.\nAnswer: -115, -0.8, 2\/11, 0.3, 0.6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5304794, -5304791, -5304786, -5304779, -5304770, -5304759, -5304746?\nAnswer: -5304731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of -r**2\/2 + 3. Let d(w) be the first derivative of 0*w + 0*w**2 - 2\/3*w**3 - 7. Give a(d(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -899, -1799, -2699?\nAnswer: -3599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 44633 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + sqrt(1872) - sqrt(1872)) - (-4 + sqrt(117)\/(sqrt(18)\/sqrt(2))).\nAnswer: -sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millisecond in microseconds?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8*c**4 - c**3 + c**2 - 1063*c + 125657 wrt c?\nAnswer: -32*c**3 - 3*c**2 + 2*c - 1063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/120 and 1\/9.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/12 + (1 - 11\/6). Solve x*h + 18 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 53 = 3*h, 2*h - 4*x = -37 - 5. Let u = h + 16. Solve 0 = -i + u*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1506809831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -2*y**3 - y**2 + y - 18. Let r(i) = i**3 + 4*i**2 - 6*i - 4. Let g be r(-5). Determine c(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -16. Let c(j) = -j**3 - 2*j**2 - 5*j - 5. Let f be c(-4). Does 18 divide 2\/o*(-2 + f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 10:57 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 186*u**2 - 4*u - 3. Let q(p) = -p**3 - 371*p**2 + 9*p + 7. Determine -5*k(h) - 2*q(h).\nAnswer: 2*h**3 - 188*h**2 + 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**2 - 4*p + 46. Let w(d) = 3*d**2 - 6*d + 47. Let q(x) = 3*u(x) - 2*w(x). What is the remainder when q(-9) is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 266 + 86 = 0. Let s(c) = 77*c - 423. What is the remainder when r is divided by s(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -148127.6 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*k - 202, 2*k - 3*k + 54 = -3*y. Let o = k + -75. Let p = o - -94. Calculate the highest common factor of 34 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 76\/417 and -55\/669.\nAnswer: 92991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23.06 + 0.14. Let u = -24 + h. Which is the biggest value? (a) -0.2 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**3 - 92*d**2*g**2 - 3*d**2*g*t - 35*d*g**2 + 2*d*t - 2*g**2*t wrt d?\nAnswer: 6*d - 184*g**2 - 6*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*3\/9 + 3. Let f be 2\/b - (-11)\/2. Let o(m) = 2*m**2 + 2*m + 7. Let z be o(f). What is the highest common factor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -4*l**4 + 50624572*l**3 - 50624564*l**2 - 50624572*l + 50624568 = 0?\nAnswer: -1, 1, 12656142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7234, -4\/5.\nAnswer: -3, -4\/5, 7234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*d**3\/11 + 15982*d**2\/11 + 210732*d\/11 - 16848\/11 = 0 for d.\nAnswer: -27, -26, 12\/151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5.2 and -152759.\nAnswer: -152764.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -69 + 48*z + z - z**2 + 581 - 68 + 2*z**2.\nAnswer: (z + 12)*(z + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57.2 + 52. Round y to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 106758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -47*x**2 - 17*x - 7. Give l(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133 and 128079?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/4 - ((-229622)\/89880 - (-4)\/10). Which is the third biggest value? (a) h (b) 2 (c) -68\/19 (d) 1 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -6746032?\nAnswer: 6746033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p**4 - 189 + p**3 + 16*p**2 + 189 - 4*p**2 in the form y*p**2 + s + o*p**4 + z*p**3 + j*p and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.00125649 and -0.95.\nAnswer: -0.94874351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/4 (b) 0 (c) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 + 91*j + 303. What is t(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 0.2 (b) 4 (c) 0 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11620?\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 - 20*o + 51. Calculate m(5).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 81\/22529753 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 217*f - 3717. Determine n(6).\nAnswer: -2415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120210002112 (base 3) in base 10?\nAnswer: 310622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 + -1.2. Let t = 14.8 - 0.3. Let u = 14 - t. Put c, u, 3 in descending order.\nAnswer: 3, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 10:17 PM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12348 and 56007?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*z + 43*z + 6*w + 3 = 0, 0 = 5*z - 4*w - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 2211\nAnswer: -221.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 77417 + 7?\nAnswer: 77425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2018 - 22177\/11. Suppose 3*x - 87 = 4*v, 0*v - 100 = 5*v - 2*x. Find the common denominator of h and v\/(-7) - (-1 - 2).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwmvovb. What is prob of picking 1 v, 1 b, 1 z, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*w + 44*w = -18 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 + 14*t**2 + 6*t - 14. Does 7 divide d(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 38*p**4 - 34*p**4 - 287*p + 392 - 189*p + 36*p**2 + 44*p**3 = 0.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349062 times 1051?\nAnswer: -366864162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-33)\/15)\/(79\/395)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 6, -3546 in increasing order.\nAnswer: -3546, -2, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -55 - -111. Suppose 40*a = 36*a + 2*r + 1798, -1346 = -3*a + r. Calculate the remainder when a is divided by j.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-548)\/(-1507)*(968\/16 - (0 + 0)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 13 = -15 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/2 + 117831*h\/2 + 176733.\nAnswer: 3*(h + 3)*(h + 39274)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j + 19. Let m(g) = -3*g**2 - 5*g - 2. Let d be m(-3). Is f(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of -347*r**6\/12 - r**4\/12 + 655*r**3\/6 - 48*r**2 + 1. What is the second derivative of w(q) wrt q?\nAnswer: -20820*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 278 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 41 = -4*g, 14*n - 423 = 3*g + 328 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33434.429 + -33417. What is w rounded to 1 dp?\nAnswer: 17.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 889158.\nAnswer: 2, 3, 148193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from ttttottt.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b + 4*b + 6*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 324 and 9?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4, -16, -20, -10, 20, 76, 164?\n\"Answer: n**3 - 2*n**2 - 13*n + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 261. What is the highest common factor of 84 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**3)**(3\/17)\/(a**6*a*a**2\/a) assuming a is positive.\nAnswer: a**(-142\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 9 = -4*c, 0*i + 4 = 3*c - 2*i for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 611*i**2 + 31*i + 437. Is l(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 - 40893*i\/4 + 10223.\nAnswer: (i - 40892)*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -35110311 (base 7) in base 13?\nAnswer: -83a156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2935\/218 <= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.29, 2\/9, -5, 0.2, 3\/22, -38\/3, 5?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - a - 2. Suppose 2*u + 3*t = 11, 17 - 31 = 2*u - 2*t. Let c(b) = 2*b**2 - 2*b - 3. What is u*c(q) + 3*v(q)?\nAnswer: 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -176*120\/(-2560)*8\/(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Suppose -7 = -2*w + s, -3*s + 8 = -1. Let z(c) = w*c**2 - 5*c**2 + c**2 - 4*c**2. Give z(g(h)).\nAnswer: -12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-3))\/(10\/(-450)*-15) - (-42)\/(-1)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 14, o: 4}. What is prob of picking 4 o?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by (-33)\/((-18)\/4 - -3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8032794 days to minutes.\nAnswer: 1156.722336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 4*sqrt(475) + sqrt(475)).\nAnswer: 30 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 9*b - b + 13*b + 33 in the form l*b + z and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14632515?\nAnswer: 3, 5, 283, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2691?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36586, -36603, -36610, -36607, -36594, -36571?\n\"Answer: 5*d**2 - 32*d - 36559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 10975.772484 to one decimal place.\nAnswer: 10975.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l. Let x(q) = 36*q + 6. Let c(o) = -12*f(o) - x(o). Let d be c(-4). What is the greatest common factor of 6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3)\/w*(w*w**(2\/17))\/w*(w\/w**(2\/3))\/w**(-2\/7) assuming w is positive.\nAnswer: w**(-1165\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 6*u - 2*c - 30 = 0, -2*u - 3*c - 23 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 0.6748, -4.\nAnswer: -8, -4, 0.6748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9536673 to the power of 1\/2, to the nearest integer?\nAnswer: 3088","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -128*h**2\/7 - 7648*h\/7 - 114242\/7 = 0?\nAnswer: -239\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 5 - 35 = -5*k, -8 = -2*k. Let d be 2\/o + (-90)\/228. Which is smaller: 0 or d?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, 11, 13, 15, 17, 19?\n\"Answer: 2*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.54973614 rounded to two dps?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5219002 is divided by 21044?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -344.1 + 329. Let l = -15 - x. What is the biggest value in l, -0.1, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 0*w + 369 = j, -w = 3*j - 131. Suppose -4*f + w = -70. Is f a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3971425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 - 116 = -5*g + 2*l, 3*g = 2*l + 288. Suppose -20*n + 64 = -g. Solve -n = 5*r - u, -5*r - u - 8 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -6 - 1 - 0) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2355 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00344079207 to 6 dps.\nAnswer: 0.003441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264926502.\nAnswer: 2, 3, 41, 358979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of 0*b - 5\/6*b**5 + 9*b**2 + 0*b**4 + 0*b**3 + 0. Let a(d) = -2*d**2. What is p(a(h))?\nAnswer: -200*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/19 (b) 3 (c) -1 (d) 6.1 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6952 is divided by 211?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15545\/12 smaller than 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 128 - 131 = -4*i, 5*q - 6 = -3*i for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 9*t**2 - 12*t + 4. Determine s(9).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5422111?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - 67. Let c = 114 + l. Let v be (0 - (1 + -3))\/1. Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 5) in base 10?\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 258, 574, 1016, 1584?\nAnswer: 2278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/33 and 80\/297.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*m - n + 1, -2*m = -2*n - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 37*k + 5. Let n be y(5). Let u be 2\/10 + (-18)\/n. What is the nearest to -1\/4 in 2\/5, u, 3\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 PM and 9:53 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 33 (c) -2 (d) -1.4 (e) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, d: 5}. Give prob of sequence dod.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -11. Suppose 33*u + 4 = 34*u. Let y(d) = -u*d - n*d + 12*d. Let f(c) = -6*c. Determine f(y(s)).\nAnswer: -18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(2\/11)*d*d)\/d)\/d**43 assuming d is positive.\nAnswer: d**(-438\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 2. Let z(n) = -2*n**2 + 20*n + 5. Let i be z(10). Suppose -4*o = -4*d + 12, i*o + 5*d + 5 = 6*o. Sort o, 1\/2, l in increasing order.\nAnswer: o, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -60 + 63. Which is smaller: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/(-1)*8\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 67*c**2 - 54*c - 657. Let p be l(66). What is the highest common divisor of 27 and p?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 40. Find the second derivative of 3*k**3 + 0*k - z*k - 11*k + 32*k wrt k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.5 or -506?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i - 52. Let y be p(-11). Let x(g) = g**3 - 13*g**2 - 13*g - 10. Let m be x(y). Solve -m*u - 5*h = 28 - 7, 3*u = -5*h - 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4519962721017\/6538 - 691337215. Let f = l - 1\/934. Let t = -0.5 + 0.4. Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147150*t - 147171*t = 21 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Let h(o) = 87*o - 6. Let y(a) = -784*a + 56. Let w(d) = -28*h(d) - 3*y(d). Give w(b(r)).\nAnswer: 168*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9113617, -36454706, -82023187, -145819060, -227842325, -328092982?\n\"Answer: -9113696*k**2 - k + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 74 = t, -t = -5*i + 3*t + 98. Suppose i*a = 16*a + 152. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, -29, -42, -69, -116, -189?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**3 - 8*u**2 + 11*u + 2. Let b be s(-9). Calculate the remainder when (4\/6)\/(b\/(-1944)) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 f when four letters picked without replacement from {h: 3, o: 5, f: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Suppose 3*x - 32 = 5*a, -2*x - z*x + 74 = 2*a. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-3\/5)\/y*y*y)**21\/(y*y**(8\/5))**42)**(-35\/4) assuming y is positive.\nAnswer: y**(1029\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.01, 1489760, -0.5, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five eighths of a kilometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-5)*(-15)\/(-6). Let z(m) = -2*m**2 - 2*m**2 - 3*m**2 + 6*m**p. Let l(b) be the second derivative of -13*b**4\/12 - 16*b - 3. What is z(l(j))?\nAnswer: -169*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2))\/(5*(-12)\/160)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 26*t**2 + 32*t**2 + 50 + t - 5*t**2. Is 10 a factor of p(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11501195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -447586*m**4 - 8*m**2 + 615*m - 10649?\nAnswer: -5371032*m**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*v**2\/5 + 17966748*v\/5 - 8983376\/5 = 0. Calculate v.\nAnswer: -2245844, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -15. Let p(f) = 2*f**3 - f**2. Let s(z) = -z**3. Let x(r) = t*p(r) + 10*s(r). What is the third derivative of x(i) wrt i?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/5990 and -45\/2396.\nAnswer: 11980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 1\/7 (b) -7 (c) -2 (d) -3\/1274 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148 + 299. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(684) + -5)*-5 + sqrt(209)\/(sqrt(88)\/(sqrt(8) + sqrt(48)\/sqrt(6) + sqrt(8) - sqrt(8))))**2*1 + -4 + 0.\nAnswer: -1400*sqrt(19) + 15517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15842504 divided by 4\nAnswer: 3960626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 209644, 420330, 631014, 841696, 1052376?\nAnswer: 1263054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m - 12, -2*k = -3*m - 109. Let c = 58 - k. What is the second derivative of 3*g + c*g + 3*g - 14*g**5 wrt g?\nAnswer: -280*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f*f)**(49\/5)\/(f**(-4)\/f**6)*((f**(2\/5))**(9\/5))**(-48) assuming f is positive.\nAnswer: f**(-859\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*g = 173, -4*g = 5*k + 208 - 29. Is k less than or equal to -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2 + 2*i - 1. Let z(u) = -4*u**2 + 3*u - 2. Determine -5*o(f) + 4*z(f).\nAnswer: -f**2 + 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/4 in -3, -5, 0.4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 - ((-6 - 1) + 12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -7. Let u be ((-12)\/10)\/(27\/(-90)). Let x = u + n. What is the highest common divisor of 10 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -20*v**5 - 115*v**4 + 3570*v**3 + 17315*v**2 - 4550*v = 0.\nAnswer: -14, -5, 0, 1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 16 - (-11 - -21)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 2:09 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 615*q**2 - 623*q**2 - 299867 + 299867.\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1494300677?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -812*k - 433*k + 191*k + 83*k to the form c + q*k and give q.\nAnswer: -971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.04 - 31. Round y to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.360653 to two dps.\nAnswer: 20.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 558 a factor of 187481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 != 940742?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.007099 centuries in decades?\nAnswer: 90.07099","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-63)\/14)\/((-45)\/(-75)*5\/(-2)). Solve -5*b = 3*u, 5*u - 2 = -c*b + 14 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 - 51 = 15*z - 19 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21716574313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 - -311. Calculate the remainder when y is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 50\/4*(-112)\/(-10). Let b = 77 - 21. What is the highest common factor of j and b?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -335 + 1175 - 96*q + 806 + 21 + 97*q in the form d*q + y and give y.\nAnswer: 1667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*x - 30 = 0, -5*x + 0*x + 10 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8, 4, 15702?\nAnswer: 15702","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 7:41 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f22 - 66?\nAnswer: -f88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 6 - 20)*(-c**3 - 5*c**3 + 4*c**3)*(-1 + 4 - 2).\nAnswer: 24*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2038228 to the power of 1\/2, to the nearest integer?\nAnswer: 1428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w + 1. Let d(y) = -10*y - 5. Determine -6*b(u) - d(u).\nAnswer: 4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -69*h**3 + 9825*h**2 + 493944*h - 2128560 = 0?\nAnswer: -980\/23, 4, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5176*h**3 - 6807*h**3 - 8391*h**3.\nAnswer: -10022*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 + 4*r + 1. What is the remainder when y(-4) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -5\/3*h**3 - 80*h + 18 + 20*h**2. Suppose o(t) = 0. Calculate t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 95*m - 384. Let z be k(4). Let l(r) = 23 + 43 - 78 - 5*r. Let w(o) = 14*o + 35. Determine z*w(d) - 11*l(d).\nAnswer: -d - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (6 - 8) + 0 + -5\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 507 and 252.\nAnswer: 42588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 8 = 5*c, -3*t = -5*c + 16 - 4. Let n be 6\/10*110\/99 - c. Determine i so that -6 - 20\/3*i - n*i**2 = 0.\nAnswer: -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -34, 4, -13, -253.\nAnswer: -253, -34, -13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckkckctwvv. What is prob of sequence vcv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 272 (b) -1 (c) -93\/7 (d) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 2\/3, -106, 14.\nAnswer: -106, 0.03, 2\/3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 120?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -8. Suppose -d - 3*g = -0*g + n, 2*g - 2 = -2*d. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvd when three letters picked without replacement from {d: 4, q: 6, v: 3}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -89609*m**3 + 44759*m**3 - 2*m + 44786*m**3 - 3*m**2 - 2 to the form o + b*m + i*m**2 + f*m**3 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 10 = -5*b, 3*b + v = -3*v - 17. Let y(m) = 2*m**2 - 6*m. Let n be y(5). Suppose 5*k = -9*l + 5*l + 30, 4*l - n = 0. Solve -k*o = 7 - b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 174.1967798 to 1 decimal place.\nAnswer: 174.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n + 2*n + 14*n)*(0 + 0 - 2*n).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 9834?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by 143.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.18017mg in kilograms?\nAnswer: 0.00007318017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a meter in millimeters?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 5*m**2 - 5*m - 2. Suppose -3*w = -3*o + 24, 3*o = o - 2*w - 4. Let k be (2 + -12)*(2 + 1)\/o. Let f be 96\/(-40) - (14\/k + 2). Give r(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (222\/(-5994))\/((-4)\/48)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.99991 + -33. Round f to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3499643821.\nAnswer: 23, 152158427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 50?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 695*n**2 + 0 + 4 - 4)*(-45*n**2 + 14*n**2 - 8*n**2) to the form s*n + z + i*n**3 + l*n**2 + t*n**4 and give t.\nAnswer: 27105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4002858.\nAnswer: 2, 3, 24709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 503981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 16 = 4*v, 3*m - 15 - 15 = 4*v. Is v >= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 + -73. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117 - 118. Which is the second biggest value? (a) -2\/9 (b) -0.11 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 939*p**2 + 90*p + 10. Let i(k) = -964822*k**2 - 92466*k - 10274. Let n(w) = -5*i(w) - 5137*z(w). Let r(j) = -5*j - 2*j + 5*j. Give r(n(a)).\nAnswer: -934*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -471573855 divided by -45.\nAnswer: 10479419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + 90 + -44 + -57?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3079129409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 925\/4 - 4609\/20. Let j(b) be the second derivative of 0 - 26*b - u*b**5 + 0*b**2 + 0*b**3 + 3\/2*b**4. What is the third derivative of j(h) wrt h?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 510479826 a multiple of 4467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5 = 10. Suppose 4*x - 4 - 10 = 2*f, 5*x = 5*f + o. Suppose f = -v - 1. Which is bigger: -3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2842? (a) -1 (b) 0.4 (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2757437 is divided by 419?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -233778, -935084, -2103926, -3740304, -5844218, -8415668, -11454654?\n\"Answer: -233768*v**2 - 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15 - 12) + 5*-2. Let q(c) = 12*c**2 + 42*c - 14. Is q(u) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6937 and -1205.02.\nAnswer: 835.922374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2659.04 + -2659. Let i = -1960\/9 - -218. What is the nearest to 12 in 1, i, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 1. Let f(t) = -2 + t**2 + 4*t - 8*t + 6. Suppose -3*q = 5*z - 17, -3*z + 15 = z + q. Calculate z*w(o) - f(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 6 = -29*s + 28*s, -s = -7*h - 30 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1954 + -0.2954. Which is the closest to 0.1? (a) 5 (b) 2\/17 (c) z (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(198\/8*134\/201)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-8)*-12)\/(9\/9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (966\/(-11776)*-32)\/(2\/(-16)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34067231 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26258 - 26182. What is the remainder when 113 is divided by s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2493a (base 14) to base 8\nAnswer: 257030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r - 1487 = -2196 - 2140 for r.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**3 - 2*y**2 - 4*y + 4. Let q(d) = 0*d + 0*d - d + 1. Let l(p) = -k(p) + 2*q(p). Determine n so that l(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + 52*i + 89. Determine z(0).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s - 85. Let x be h(-12). What are the prime factors of (1*x)\/((-13)\/351)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(1\/7)*i**23*i*i assuming i is positive.\nAnswer: i**(176\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.3207 plus -105887?\nAnswer: -105856.6793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 50.4 - 43. Let d = h + -8. Let w = 0.8 + d. What is the second biggest value in -5, w, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-505 - 563 + 264)*(-2*i**3 - 2*i**3 - 20*i**3).\nAnswer: 19296*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/150*5)\/(6\/(-3)) - (-1267)\/(-21)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:05 PM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, 70, 270, 662, 1312, 2286?\nAnswer: 3650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(-42))\/(1102\/(-57) + 19). Which is smaller: 8.3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 5*b + 80, -4*f + 2*b = -9*f + 77. Is ((-6)\/f)\/(34\/(-59585)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sppp when four letters picked without replacement from ppppppppsps?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifssefssffejjess. What is prob of picking 1 e and 1 s?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 514515*u. Let x(q) = -q. Determine x(r(v)).\nAnswer: -514515*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n**5 - 46684*n**4 + 272237680*n**3 + 2180189500*n**2 + 4089168750*n = 0.\nAnswer: -5, -3, 0, 11675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85773 = -5*k + 4*d - 412312, 3*d - 3 = 0. What is k rounded to the nearest one thousand?\nAnswer: -65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, u: 8, q: 2, w: 1, r: 2}. What is prob of picking 1 q and 1 u?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 9*p - 5. Let g be f(7). Let n(m) = m**2 - 6*m - 14. Let l be n(g). Let b = 47 - l. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01403738 rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + -2)\/(1 - 0). Suppose t = -4*n + 8, 2*y = -y - n + 2. Let x = y - 1. What is the biggest value in -2\/7, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 12 = p, 0 = 3*c - 6 + 3. Suppose -1239 = -p*s - 177. What are the prime factors of s?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 4, 10, 36, 88, 172, 294?\nAnswer: 460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/26 or 1?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + cb?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -167*a*t**3 - 138*a wrt t.\nAnswer: -501*a*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(3 + -1) - -2. Suppose w*t = -g + 16, g + 4*t + 4 = 5*t. Let j(q) = 29*q + 4*q**2 - 28*q - 1 - 6*q**2 + 0 + 8*q**2. Calculate j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -77*s + 48*s + 42*s + 3*s**2 + (4 - 3 - 2)*(s**2 - s**2 + 2*s**2) - 1 + 2*s**2 + 1 + (-5 - 2*s + 5)*(6 - 8*s - 6) + 0*s + 0*s + 3*s**2.\nAnswer: 22*s**2 + 13*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -440 + 95 + 18 - 13*m. Let w be a(-25). Sort 5, 2, w, -70 in ascending order.\nAnswer: -70, w, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1\/19 (b) -2 (c) 1\/2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-6)*(12 - 2). What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29554622?\nAnswer: 2, 61, 157, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*c - 15 = 0, -2 + 19 = 4*g + 3*c. Let v = -938 - -949. What is the least common multiple of v and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1271388 and 2222.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/(-1*((sqrt(3) + sqrt(12) - sqrt(3)) + sqrt(3)))*1)\/(sqrt(8)*1*-4 - (1*(sqrt(32) + sqrt(8)) - sqrt(8))))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 4087910*n - 4087915.\nAnswer: 5*(n - 1)*(n + 817583)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.3 + 1. Suppose 23*z = 26*z + 2*l, -5*l = -3*z + 42. Which is the smallest value? (a) t (b) -5 (c) 7 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/47172720 and 191\/1332120.\nAnswer: 801936240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.11, -3, 0.2, -0.0615, -11 in decreasing order.\nAnswer: 0.2, -0.0615, -0.11, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 3, h: 3, b: 11, w: 1}. What is prob of picking 1 l and 1 w?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1526, 6133, 13822, 24599, 38470, 55441, 75518?\nAnswer: 98707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17523 and 1239?\nAnswer: 122661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b - 10. Let a be t(-8). Let l(z) = -3 - a - z + 3. Let u(d) = d**2 - 5*d - 6. Let i be u(6). Give l(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14824\/21 - 122\/(-1281).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-942)\/(-12))\/(((-12)\/88)\/(-3)). Suppose -6*l = -3259 - t. Suppose -s + x - l = -6*s, -147 = -s - 5*x. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 6:06 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5317425176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 1033*n**3 + 4 - 2114*n**3 + 1076*n**3.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 2. Let p = 3.942 - -0.058. Which is the biggest value? (a) 2 (b) s (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668 + 7*h - 326 - 342.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65107*b + 867 + 1707 = -65185*b for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 28*d = 4*d + 155. Solve 5*r - 2*f = d, -f = 1 - 6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 - 4*w + 1. Let g(p) = p**2 + 3*p. Let r(v) = 3*g(v) + 2*z(v). Let k be r(0). Suppose 3*y**3 - 1 + 8*y**2 - 7*y - 5 + k*y = 0. Calculate y.\nAnswer: -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18 + -6432.\nAnswer: -6450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.6? (a) 230 (b) -2 (c) -0.2 (d) 308 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -156. What are the prime factors of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20864276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 + -12 - -562*(8 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1511 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**5\/24 + 3*y**4\/16 + 19*y**3\/6 - 278*y**2 - y. Factor a(k).\nAnswer: -(k + 2)*(5*k - 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1924763371?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-5))**(-15)*x\/x**(-15)*((x*x**(-1\/16)\/x)\/x)\/x)**(-9) assuming x is positive.\nAnswer: x**(10953\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -4*y - 635. Suppose -4*g = -t + 130, 2*g = -t + y - 27. Suppose 5*w - q + 2*q = 100, 5*w - t = -3*q. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -80417 < -80816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -33. Suppose 3*p - 39 = -v*d, 0 = -d - 0*d + 2*p. Which is bigger: 5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -487 + -24. Let d = s - -1186. Suppose -1260*o**2 - 205 + 1040*o**3 - 120*o**4 + 70 + d*o - 200*o**4 = 0. Calculate o.\nAnswer: 3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -24, -41, -60, -81, -104?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -103. Let y = 131 + m. Let k be ((-5)\/2)\/(4\/(-512)). What is the greatest common divisor of y and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 3033020413?\nAnswer: 3033020410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 8528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2 = c. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 5*f**3 + 6365*f**2 - 4086325*f - 5541698445 = 0.\nAnswer: -1097, 921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*h + 72 = -51*h. What is the greatest common divisor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335 divided by -14297\nAnswer: -335\/14297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 2\/7, -2\/3, -11?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -888 = -2*a + 706. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38296 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 4*a**3 - 2*a**2 + a + 2. What are the prime factors of w(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1124453 (base 10) to base 5\nAnswer: 241440303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, n: 2, i: 7, e: 2}. What is prob of picking 1 e and 2 z?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/34, 66\/173, 36 in decreasing order.\nAnswer: 36, 66\/173, 1\/34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5454 - -0.596. Let y = o - -0.3494. What is the closest to -1 in y, -1, 69?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -116*g**3 + 2*g**2 - g - 1. What is f(1)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 16 = x - 3*a, -20 = -5*x + a. Solve -x*p = -4*v - 29 - 3, 4*p - 12 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 2\/3 (c) 0.3 (d) 249.81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**3*v**(1\/6))\/(v**(1\/7)\/(v\/(v\/v**(-1\/8)))))\/((v*v**(-1))**(1\/97)\/(v**(-2\/3)\/v*v)**14) assuming v is positive.\nAnswer: v**(-1081\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 4*n**2 - 39*n - 9. Let a(p) = 3*p**2 - 20*p - 5. What is 5*a(s) - 3*t(s)?\nAnswer: 3*s**2 + 17*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 97191091003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 5*x + 19, 4*q - x - 17 = -0*q. Let p(d) = 15*d - 6. Let f(b) = b**2 - 2*b + 6. Calculate the remainder when p(q) is divided by f(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 152*c**2 - 104*c**2 + 222*c**2 + 62*c**2.\nAnswer: 332*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 30151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -14. Suppose -l = 5 - w. Suppose 2*a = l*a. Solve h - d + 0*d + 2 = a, -11 = -2*h - 3*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2804 + -2783. Solve 2*p + f*p = 92 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8.6917 - -4.6917. What is the second smallest value in 2\/7, 91\/15, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 3*k - 27, 2*k - 15 = 3*h. Suppose k*i - 24*i + 792 = 0. Does 5 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {y: 4, v: 7, w: 2, k: 1, g: 3}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1556667269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -163, -68, 259, 818, 1609, 2632, 3887?\nAnswer: 5374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(88)*3*-1)\/(-3*sqrt(11)*-5).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 28*s**3 - 6*s**2 - 14*s + 13. Let z(y) = -19*y**3 + 4*y**2 + 9*y - 9. Let c(m) = -5*t(m) - 7*z(m). Factor c(f).\nAnswer: -(f - 1)*(f + 1)*(7*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 857274*y**3 + 5*y**2 + 7276294*y + 2?\nAnswer: 5143644*y + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000096281 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3 - 27*a**2 - 120*a - 124.\nAnswer: (a - 31)*(a + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**2*l**4 - 2*k**2*l**2 + k**2*l + 94*k*l**6 - 113 wrt l?\nAnswer: -48*k**2*l + 11280*k*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18297895\/774 + -70922\/3. What is the common denominator of f and -121\/114?\nAnswer: 14706","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -579.7 + 2.778009\nAnswer: -576.921991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*77\/35)\/(10*(-5)\/(-250))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of f**6\/120 - 8*f**5\/15 + 23*f**4\/24 + 125*f**3\/3 + 121*f**2 + 2. Let y be n(31). Factor -3\/4*r**y - 1\/4*r**3 - 3\/4*r - 1\/4.\nAnswer: -(r + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/21 - (-2)\/(-3). Suppose 44*a = -3*a. Which is smaller: r or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186660 divided by 61?\nAnswer: 3060","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -57.1 + 57. What is the biggest value in -0.05, v, 1\/2, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4414 - -4413. Which is the second smallest value? (a) j (b) 2 (c) 1\/3 (d) -1.69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 212220 - 12200?\nAnswer: 200020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 147*m - 2360. Determine p(16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1222110 (base 4) in base 3?\nAnswer: -100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 51\/7 - 10\/35. Suppose -2*p + k - 1 = 0. Suppose p*q = 2 + 10. Solve -3*r - 4 = -q*d, -6*r + 4*r + 3*d - 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -126*l**2. Let f(m) be the second derivative of 0*m**3 + 0*m**2 + 1\/4*m**4 - 125*m + 0. Calculate n(f(t)).\nAnswer: -1134*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of -p**4\/4 + p**3\/6 - p**2. Let h(j) = j. Let q = -36 + 31. Give q*h(w) - a(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(2*sqrt(9)*4).\nAnswer: sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25 - -245ab?\nAnswer: 24586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7895988 divided by -27\nAnswer: -292444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 572\/867 - -2\/289. Put j, 0.36, -1 in increasing order.\nAnswer: -1, 0.36, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19650 = -532*s + 2500 - 1402 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22875?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 973208810?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**8\/168 + 2*r**7\/105 + 49*r**5\/30 + 52*r**2 - r. What is the third derivative of v(m) wrt m?\nAnswer: 120*m**2 + 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.3 in 2\/45, -1\/4, -5, -3?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1128038?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e75fb (base 16) in base 5?\nAnswer: 1234413414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-10)*(0 + 0). Let s(d) = d - 6. What is s(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114 + 115. Let g = -0.7 - -0.3. What is the closest to -1\/4 in g, o, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*2 - 16\/(-2). Let t(n) = n + 1. Let z be t(o). Solve -2*y - 20 = -z*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/(-78))\/((-30)\/9).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1010186 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 785*d**2*k**3 - 2*d**2*k**2 + 7*d**2*k*x**3 + 1650*k**3*x**3 - k**3 - 367*k**2*x + 68*x**3 wrt k.\nAnswer: 4710*d**2 + 9900*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.6047611\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 2, -0.4, 16, -1, 6.6, -4 in increasing order.\nAnswer: -4, -1, -0.4, -0.1, 2, 6.6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -2*d - 12, -441*t + d - 18 = -446*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -324442424411 - 10?\nAnswer: -324442424421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 56b + -374?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/11)\/d*d)\/(d\/d**(3\/13)))\/((d*(d\/d**(2\/19))\/d)\/(d*d*d**2*d)) assuming d is positive.\nAnswer: d**(12028\/2717)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 AM and 2:53 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*l - 348 - 300 - 42 = 0 for l.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 419*g + 493*g = -25206 - 13177 - 22721 for g.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*k, -3*o + k = -k + 64. Let q be 4\/26 - o\/39. Which is the closest to q? (a) -4 (b) 4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 171, 715, 1631, 2919?\nAnswer: 4579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 335.7256 litres?\nAnswer: 335725.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 4*i - 4. Let p(a) = -33*a**2 + a - 40*a**2 + 115*a**2 - 1 - 43*a**2. Give c(d) - 4*p(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27961*g**3 + 27960*g**3 - 55917*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 687 + 1?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of 0*j**4 + 0*j**3 + 1\/120*j**6 + 0*j + 0*j**5 - 22*j**2 + 0. Let s = -8 + 9. What is c(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1750 - -11101. Suppose 5*m + r = 1851. Round m to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 3*w**2 + w - 1. Let s be h(3). Let m(q) be the second derivative of 3*q - 1\/2*q**s - 1\/6*q**3 + 0. Determine m(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -22\/468577?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 157\/1185 + 1\/1185. Factor -p*o**3 + 0 + 0*o**2 + 0*o.\nAnswer: -2*o**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 411 + 401 = -2*u + 1227 - 387, -16 = -2*r - 2*u for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -17, -40, -83, -152, -253?\n\"Answer: -q**3 - q**2 + q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1390997898 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -93\/7?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 74. Let n = q + -75. What is the greatest common divisor of 80 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -122*l**3 + 2*l**2 + 21*l + 34. Let z be s(-2). What is the greatest common divisor of 80 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*z - 293*z = -621 - 731. Solve -4*w - 24 = 9*h - 5*h, -w = -h + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 17*x**3 - 4*x**2 + 7*x - 3. What is the remainder when 641 is divided by u(1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 3*f + 9 = 0, 4*l + 0*f = -f + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-376)\/(-2068) + 0 + 64\/11?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 690 + -689. Let f(c) = -c + 2. What is the least common multiple of f(-5) and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74524 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*m - 3*m - 2*m)*(0 + 2 - 4) + (0 - 1 + 0)*(0*m - m + 3*m) + m + 1 - 1)*(1092 + 1261*m**2 - 1092).\nAnswer: 3783*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*f - 6*k = 23*f - 2, 3*f - 33 = 11*k - 10*k for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 6. Suppose g = -4*r - 5*o + 7, 2*r - 4*o = 10. Solve -u + r*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 + 2*g**2 - 4 + (2 + 0 - 1)*(-g**2 - g**2 + g**2) + 3 + 6*g**2 + 4 - 9.\nAnswer: 7*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -21. Put -3\/8, r, -0.07, 0.1 in decreasing order.\nAnswer: r, 0.1, -0.07, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 296, 448, 840, 1586, 2800, 4596, 7088, 10390?\n\"Answer: 19*w**3 + 6*w**2 + w + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*i**2 - 115*c**3 + 27*c**2*i - 8*c**2 + 1642620*c*i**2 wrt c?\nAnswer: -6*c*i**2 - 690*c + 54*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a millimeter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10 + 0*m - 8*m + 13*m + 3*m + m**2. Give t(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2*u + 35. What are the prime factors of n(0)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -7*n**2 - 742*n - 740. Determine g(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1307, -5232, -11773, -20930, -32703?\n\"Answer: -1308*w**2 - w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 15. What is the second derivative of -94*o - o**2 + t*o**3 + o**2 + 90*o wrt o?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -163*q + 1634. Let l be i(10). Let s = 10 + -9.6. Which is the smallest value? (a) s (b) l (c) -4\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175973994 rounded to the nearest one hundred thousand?\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3534365*f**3 - 1050459*f.\nAnswer: 21206190*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 583356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 13*l**2 + 5*l. Let w(f) be the first derivative of 20*f**3\/3 + 4*f**2 + 7. Determine 8*u(m) - 5*w(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.04 + -695?\nAnswer: -696.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -7*l**2 + 23*l - 1. Let u(x) = -6*x**2 + 23*x - 1. What is -4*j(n) + 5*u(n)?\nAnswer: -2*n**2 + 23*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 8:03 PM?\nAnswer: 6:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -19) + 5 - (-32 + -13 - (1 - 3))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -68, -63, -48, -17, 36?\n\"Answer: j**3 - j**2 + j - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 65 = -5*r, r - 3*r - 3 = 5*v. Suppose -2*x - 4*q = x - 11, -4*x = -2*q - 22. Calculate the lowest common multiple of x and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002726703 rounded to five decimal places?\nAnswer: -0.00273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13, -26, -127, -320, -635, -1102, -1751, -2612?\n\"Answer: -5*x**3 - x**2 - x + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 800072 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3 from -0.09.\nAnswer: 2.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/2464664 and -11\/955?\nAnswer: 12323320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggrgr. What is prob of sequence ggg?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (21 - (-744)\/(-36))*6\/7. What is the third biggest value in 0.1, 22, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/3030 + 11951\/2020. Find the common denominator of i and 27\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.7 + 33.8. What is the biggest value in o, -2\/11, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 297.3*0.18\nAnswer: 53.514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 37086653503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1040.8506 to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*q - 2 - 15*q - 10*q.\nAnswer: -51*q - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.20615 and -8759.\nAnswer: -8759.20615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22166881.\nAnswer: 11, 587, 3433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/99 and 65\/33.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - g**3)*(8 - 3*g + 9 - 19).\nAnswer: 3*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*s**3 + 124*s - 2 wrt s?\nAnswer: 1350*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2209843?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 + 2217*l**2\/2 - 1638363*l + 807166838.\nAnswer: -(l - 1478)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 67, 132, 197?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(36)*-6).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcgadgcdgagggdg. What is prob of picking 1 c and 2 d?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.44841 to 3 decimal places.\nAnswer: 0.448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1372)\/(-6517))\/((-6)\/(-19))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2628*g = -2548*g - 1840 for g.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -340*m + 71. Does 11 divide u(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0*i**2 + 0 + 0*i**3 + 1\/140*i**5 + 0*i**4 + 20*i. Let s(w) = 0. What is w?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27405 and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -1105*m - 222. Let q be g(-1). What is the biggest value in -2, q, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, g: 8, s: 3, r: 2}. What is prob of picking 2 s and 1 t?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 10*x**2 - 24 + 8*x**2 + 8*x - 5*x**2 + 0*x**2.\nAnswer: 13*x**2 + 11*x - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000011101011011 (base 2) in base 14?\nAnswer: 1a7d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i**3 - 120*i**2 - 44*i - 63. Calculate g(-13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 2 - 4 - 3 - 2 + 5*s. Let q be i(2). Sort 0, q, 37 in decreasing order.\nAnswer: 37, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1, 345, 2\/3, -1.2 in decreasing order.\nAnswer: 345, 1, 2\/3, -2\/7, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -22012\nAnswer: -11\/11006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 21*b + 110. Let c be t(-5). What is the first derivative of -2 - 46*a - 11 + c - 19 - 2 wrt a?\nAnswer: -46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(204) + sqrt(204)*1)*2 + sqrt(204)))\/(3*1*sqrt(12)*2).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20.1 and -3?\nAnswer: 60.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5.4. Let y = 1.87 - 1.8. Let q = -0.17 + y. Which is the nearest to q? (a) 2 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11647 - 14852 = -203*w + 6996. Solve -w + 165 = -2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 39864 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 9*n - 3. Let d(z) = -3*z + 1. Let p(j) = -3*d(j) - u(j). Let v(b) = -726*b. Calculate v(p(f)).\nAnswer: 726*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -14, 6, -188, 1 in descending order.\nAnswer: 6, 4, 1, -14, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g - 9. Let p(v) = -v - 1. Calculate d(h) - 4*p(h).\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1569*c**2*d + c**2 - 2201*c*d - 479355 wrt d.\nAnswer: 1569*c**2 - 2201*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2. Let d(t) = -70*t + 895837. Calculate d(g(o)).\nAnswer: 140*o**2 + 895837","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -96.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8320638 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 89038*p**2*t - 246*p + 13*t wrt p?\nAnswer: 178076*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37135*c**3 + 5973*c - c**2 + 27*c**5 - 37183*c**3 - 198*c wrt c?\nAnswer: 540*c**3 - 288*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-2))\/((-10)\/5). Solve j + d + 21 = -4*d, h = -3*d - 12 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.66146km in micrometers?\nAnswer: 69661460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 9:40 PM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/35)\/(-2*(-55)\/200*4)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 329830590, 659661178, 989491766, 1319322354?\n\"Answer: 329830588*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d + 1. Let t be y(-2). Suppose -2*i + 115 = t*i. Calculate the remainder when i is divided by (-4)\/3*-4*(-129)\/(-86).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-450))\/((-2)\/18).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/12182186 or -1?\nAnswer: -3\/12182186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20 - 38) + 8)\/(2\/1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.062824? (a) 2\/5 (b) -0.1 (c) 4\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 11:52 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 1:57 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5*k**2 - 15*k + 1. Let o(g) = 14*g**2 - 44*g + 2. Let w(m) = 17*f(m) - 6*o(m). Let p be w(-9). Let u be 5\/10 + (-26)\/(-4). Solve -u = p*h + 3 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1015)\/30 - 241\/1446\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 248705 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2447*n - 2404*n - 6060 = -4750*n for n.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8828*h**2 + 4409*h**2 + 4409*h**2.\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -467905 (base 14) to base 15\nAnswer: -326de9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.072 and 1?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*h - 2652 = -411*h for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3438336 by 573056.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + g + 12, -k - 7 - 7 = 4*g. Suppose u = k*t + 3, 3*t - 2 = -0*t - 5*u. Let o be (-1)\/(-4) + (-1)\/4. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -12. Let x(r) = -2*r - 7. Let g be x(t). Which is smaller: 6\/7 or g?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = 43*h - 32 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -2*a**3\/11 - 9640*a**2\/11 - 841754*a\/11 + 1722084\/11 = 0.\nAnswer: -4731, -91, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -64787 + 314?\nAnswer: -64473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -403 + 403.1. What is the third smallest value in -1, c, -1\/5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-7*t - 8*t - t)*(11 - 3 + 1).\nAnswer: -288*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 128 - 94 = -20*p, 0 = 4*p - 0*p + a + 18 - 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10433\/20 - -2085\/4. Which is the closest to h? (a) -2 (b) -4\/7 (c) 3 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2961079 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -3*f - 2. Let u = -2 - 3. Let w(t) be the first derivative of -t**2 - t + 14694. Calculate u*w(x) + 4*k(x).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 144\/76 + (-26)\/(-247). What is the tens digit of 993\/d + 24\/48?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 + 0*s**4 + 2*s**4 + (-3 - 2*s**3 + 3)*(-3*s + 5*s - s) + s**4 + 9*s**4 - 2*s**4 + s**4 - 4*s**4 + 2*s**4.\nAnswer: 3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 - -48.62. Let r = s - 5.62. Which is the closest to 0.1? (a) r (b) -6 (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10396959 take away -3.3248561?\nAnswer: -10396955.6751439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.9712 and -0.3.\nAnswer: -4.2712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(792)*-6)\/((sqrt(11) - sqrt(539)*2) + sqrt(44)\/(2*sqrt(4))).\nAnswer: 72*sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5579 and 112.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/114341 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 0*t - t + 5 + 3*t - 3*t. Let r be a(7). Sort r, -7, 0 in decreasing order.\nAnswer: 0, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183667 (base 10) in base 12?\nAnswer: 8a357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 12:42 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 32435 + -1?\nAnswer: 32434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76883498.\nAnswer: 2, 38441749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-40)*(-4)\/(-3). Is l equal to -2.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**2 + v + 1. Let m(f) = -2*f - 2. Let w(d) = -2*a(d) - m(d). Let c(u) = 1. Let y(s) = -4*s - 3. Let z(g) = 3*c(g) + y(g). Determine w(z(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (12 - 12 + 19*j)*((-j + 3*j + 0*j)*(j - 3*j + j) - 5 + 5 - 2*j**2) in the form z + t*j**2 + v*j + q*j**3 and give q.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -37.2 (b) 3 (c) 1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -63.16 + -9.14. Let c = -143 + 74. Let p = s - c. What is p rounded to zero dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -8758 + 8758 + 2*w. Let c(n) = -1198*n. Determine c(r(d)).\nAnswer: -2396*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 19 = -g, 2*g - 2*a + 97 = -g. Let q = 61 + g. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87014 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 11*f**2 + 1904*f + 19136. What is w(-10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 15) to base 9\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = 27954 - 66727. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 27874\/12 + (-45)\/54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*10\/280)\/((-2)\/350)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**6\/24 - b**5\/6 - 5*b**4\/6 + 20*b**3\/3 - 69*b**2. Factor m(z).\nAnswer: 5*(z - 2)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1633.3 rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -49 - ((-62 - 77) + 147)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 506137?\nAnswer: 29, 31, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -2037\nAnswer: 23\/2037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 4*m - 3. Suppose -s - m*s = -1536. Is 8 a factor of (-2)\/(-10) - s\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 361820177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 3 + -5 - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*y - 13*y = 12*y - 27 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (30 - 2)*(7 - (2 - (-6 + 3)))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 0, -6, 0.01, -2\/7.\nAnswer: -6, -2\/7, 0, 0.01, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -552 - -86. Let r = l + 465.9998235. What is r rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 62 - 33 - 67)*(-2 + 2 - 2*m**2).\nAnswer: 2*m**3 + 76*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2163 and 546.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32392, 32397, 32414, 32449, 32508, 32597, 32722?\nAnswer: 32889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -154640 - -8365.38.\nAnswer: -146274.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -32*w**2 - 131855*w - 8697342 wrt w?\nAnswer: -64*w - 131855","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149428*y - 149438*y = -4*f + 90, 5*f = y + 32 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 6*m = 2*k, 4*k = 8. Let r be 1\/(-2) + (-13)\/(-2). Suppose -r = -4*g + 3*g. Solve 4*b - g = m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -9\/56847169?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1592 divided by 9\nAnswer: -1592\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -4. Let d(c) = 2*c**3 + 3*c**2 - c**2 - 1 + m - 1 - c. What is the tens digit of d(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/16 and 109\/4062?\nAnswer: 32496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.381 - 0.081. Let y = 2555\/36 + -279\/4. What is the biggest value in r, y, 0.4, -2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1329 and 6675.\nAnswer: 2957025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 572423.\nAnswer: 572423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001077809579 rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2340102.\nAnswer: 2, 3, 37, 83, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (24 - -4)*11\/2. Suppose -2*l = 3*l - 10. Suppose l*y - y = o. Is y a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1893763 to the power of 1\/2, to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 8.9. Let p = 200\/327 - -6\/109. Which is the closest to -21? (a) 0.5 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 984586 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-7 - -2)*(-3 + 2). Let v(f) = 4*f - 8 - d*f**3 - f + 4*f**3 + 6*f**2. Determine v(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 * -2347.\nAnswer: 159596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 43*d**3 + 2*d**2 - 3*d - 5. Does 24 divide u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11816000 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**3\/11 - 3832*f**2\/11 + 1045554*f\/11 - 2075796\/11 = 0 for f.\nAnswer: 2, 327, 1587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1374922 litres in millilitres?\nAnswer: 137.4922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 101. Put -0.1, d, 2\/17, -17 in ascending order.\nAnswer: -17, d, -0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -74132*f**2 - 46758?\nAnswer: -148264*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 9:43 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 121*64\/176 + -83.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and 64?\nAnswer: -108.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - 4.9. Which is the second biggest value? (a) -1\/5 (b) 0.2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*a**2 - 2*a**4 + 14*a**2 + (5*a - 5*a - a)*(34*a**3 + 41 - 41).\nAnswer: -36*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/24)\/(2*(-4)\/(-96)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millimeter in micrometers?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u - 68. Let j be z(6). Solve -44*v + j = -42*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*i = 3*d, -4*i = -2*d + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add 70222110100 and -3602.\nAnswer: 70222106498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.3. Which is the third smallest value? (a) -1 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/12)\/(9\/4)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of 2*j**3\/3 - 2. Let a(b) = 3*b - 6*b + b. Calculate a(h(d)).\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*w - 22. Let m(h) = -h**3 + 13*h**2 - 12*h + 3. Let u be m(12). Put -1, w, u in descending order.\nAnswer: u, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of b**4*n**3 + 49956*b**3*n**3 - 2*b**2*n**3 + 25416*b**2*n**2 wrt b?\nAnswer: 24*b*n**3 + 299736*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -105 (base 12) to base 7.\nAnswer: -302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzteeezzzetzztezt. What is prob of sequence ett?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -1, -18, 1\/252?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 0.3. Let p = 0.2 + z. Let w be (-4)\/18 - (-14)\/63. Which is the second smallest value? (a) w (b) 2\/5 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 730\/1769 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/21)\/((-77)\/((-35035)\/(-26)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = -87*i + 98*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**2\/9 + 9310*u\/9 - 68596\/3 = 0.\nAnswer: -4677, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((9\/(-30))\/(3\/4))\/((-103)\/37080*6).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 32*b = 1530. Let i = b - -362. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-18)\/4)\/((-6)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**2 - 9*j.\nAnswer: 3*j*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in x**2\/2 + 5384203*x\/2 - 2692102 = 0?\nAnswer: -5384204, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nninnipw. Give prob of picking 1 n and 1 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -82 + 69 + (3 - 19) + 20 + -91?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19880, -79569, -179048, -318305, -497328, -716105?\nAnswer: -974624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 0.6 (c) -0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -5334.61 to the nearest 10.\nAnswer: -5330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 + 4*k - 1. Let v be o(-5). Suppose 4*b = m + 7, 0 = -b + v*m + 2 - 4. What is the lowest common multiple of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -1 + 1 + (7 - 14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 815 divided by -223.\nAnswer: -815\/223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*y**3\/7 - 1557*y**2\/7 - 7740*y\/7 + 300\/7 = 0. Calculate y.\nAnswer: -10, 1\/26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbaaab. What is prob of picking 3 a?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 305, 75, -1, -4, 4, 2 in descending order.\nAnswer: 305, 75, 4, 2, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1027 and 3908580?\nAnswer: 308777820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 + 0.6. Which is the nearest to -1? (a) 1\/8 (b) k (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 21485455\nAnswer: -322281825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v - 23. Let x be z(-9). Suppose 4*b = -2*t + 10, b - 2 = -x*t + 4. What is the first derivative of -b + 8 - 4 + 8*o**4 wrt o?\nAnswer: 32*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxa when three letters picked without replacement from aaauuxxx.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 391.6832nm in centimeters?\nAnswer: 0.00003916832","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405)*2*-5 + sqrt(405) - sqrt(405))**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -w + 9, 2*u + 24 = 5*w + 3. Suppose w*z + 9 - 3 = 3*o, -o - 2*z + 17 = 0. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18002 - 18002. Solve k = -4*v + 8*v - 3*y + 21, 2*v = -4*y + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 102 = -4*k. Find the common denominator of (-10)\/(-4)*k\/140 and (-36)\/(-4) + 2 - 443\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*sqrt(847) + -5 + sqrt(847))**2 + -3 + (-4 + (sqrt(7) - (2 + (sqrt(7) - ((sqrt(7) + 0 - sqrt(7)) + sqrt(7))))**2) - (-2 + 3 + (sqrt(7)*-1)**2)).\nAnswer: -439*sqrt(7) + 3469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -958 + 958 - 467*m**2 to s*m + w + t*m**2 and give t.\nAnswer: -467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93737 and 5739?\nAnswer: 281211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 9:46 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 131 - -6826?\nAnswer: 7057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(7)*2) + -3 + sqrt(13)*2.\nAnswer: -3 + 5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3193, 6356, 9515, 12664, 15797, 18908?\nAnswer: 21991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, -2, 149, -1\/6, 28.3, -0.03, 11?\nAnswer: 28.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 126*p**2 - 5295*p - 40950.\nAnswer: 3*(p - 70)*(p + 13)*(p + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w - 3*o + 16, 2*w - o = 1 - 8 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -14*u**3 - 617*u**2 + 176*u - 5. Let m(g) = -21*g**3 - 925*g**2 + 264*g - 7. Let x(t) = 5*m(t) - 7*r(t). Find w such that x(w) = 0.\nAnswer: -44, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -822*u**2 - u - 49592.\nAnswer: -1644*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-45)\/20)\/(-3))\/(2211\/(-536))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -v**8\/840 - v**6\/120 + 2*v**3\/3 + 2. Let o(i) be the third derivative of l(i). What is the third derivative of o(q) wrt q?\nAnswer: -48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5421091 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: What is the thousands digit of 33708?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*v = -26, 5*b + 3*v - 4*v = 15. Suppose z = 8 + 4. Let x = z + -6. Which is bigger: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of -b**6\/7 + 4*b**5\/7 - 9*b**4\/14 + 4*b**3\/21 - 19. Let z(y) = 0. Calculate y.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a - 2113*a**2 + 48*a - 1270*a**2 - 22*a.\nAnswer: -3383*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrr when three letters picked without replacement from {q: 7, r: 7}?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence if when two letters picked without replacement from {f: 1, x: 1, n: 1, g: 1, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 15 = 53. Suppose t*q = 20*q - 2703. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -356*d - 3786. What is the remainder when c(-20) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -19403556.57 to the nearest 100000.\nAnswer: -19400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466045, 466049, 466053, 466057, 466061?\nAnswer: 466065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1235552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62 + -60. Solve -2*f = d*f - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ja when two letters picked without replacement from aaojoaohoaoa.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-100)*16\/(-24).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-16)\/(-12) - 1)\/(2\/12). Let b(t) = -t**3 + 11*t**2 - 10*t + 3. Let k be b(10). What is the tens digit of w + (30 - k\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 4 = -j. Let u(z) = 5*z + 12. Let w be u(-2). Solve -2*g + j = w*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104522 and 1368288?\nAnswer: 9502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c8ca + 4?\nAnswer: -c8c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 i, and 1 g when three letters picked without replacement from {u: 2, l: 1, e: 2, h: 1, i: 1, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 14*t - 9. What is f(15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 6, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)*y)\/y)**24*y**(-3)\/y*(y\/(y\/(y\/y**(-1\/13)*y))*y*y)\/y*((y**(-2\/7))**(15\/4))**(-6) assuming y is positive.\nAnswer: y**(1047\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j + 30. Let m be y(-9). Let v(s) = 6*s**2 - s - 5. What is the tens digit of v(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wp when two letters picked without replacement from {r: 1, p: 1, u: 2, v: 5, w: 1}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 3:01 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-70)\/(-180)*6\/28. Which is greater: z or 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93842637*r**2*z + 1562258*r*z - r - 40 wrt r.\nAnswer: 187685274*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 2 - 4 - (153 - 163).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1898 = -16*q + 111*q - 898 + 6406 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + o - 18 = 4, 5*d + 2*o = 29. Suppose v + 2*b = 4*v - 16, 0 = d*b + 10. Let t be (-1)\/(-1)*(v + 1). Solve 0 = -t*l + 2*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*b - m + 19, -b - 3*m = -9. What is the remainder when b is divided by 1 + -7 + 2 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*b - 4*b. Let w = 9 + b. Is 15 a factor of -134*(4 - (-11)\/w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -254 = -h + 83. Let c be (-2)\/((-16)\/2658) + -1 + 4. Let n = c - h. Which is greater: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {o: 5, n: 3, y: 11, d: 1}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -2. Suppose -3*d = -4*j + 931, -u*j - 4*d + 479 = -d. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-2\/3)*o))**(-27)*((o*o*o\/(o\/o**(-5)*o)*o)\/o)\/(o*o**(-1\/7))*(o**(-4)\/(o**(4\/7)\/o*o))**12 assuming o is positive.\nAnswer: o**(-355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.10408 + 0.07247. Round c to 3 decimal places.\nAnswer: -0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3, 8, 27, 66, 131?\n\"Answer: g**3 + g**2 - 5*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5 + 152. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -16. Let m be p - 1 - (-6)\/5. Put 1, 4, m in decreasing order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**19\/(l\/(l*(l**(-4\/9)*l)\/l)*l) assuming l is positive.\nAnswer: l**(158\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/3, -2, 0.3, 20, 4, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = o + 371, 11*n = 13*n + o + 248. Let k = n + 128. Solve k*l = 5 - 20, -5*j - 4*l + 3 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -35 + 50. Let v be s - (-1 + 6\/3). What is the highest common divisor of v and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2 + 2 = 0. Let z be 9\/(-2) - (-1)\/j. Let s(m) = -18*m + 796. Let k be s(44). Let d(p) = -7*p - 6. Let y(c) = -6*c - 5. Determine k*d(r) + z*y(r).\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 12*m**2 - m - 17. Calculate h(12).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1644793.68 to the nearest 10000.\nAnswer: -1640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -7848*u + 865. Let b be s(3). What is b rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 + -3 + 1 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of 5*v**4\/4 - 5*v**3\/3 - 25*v**2\/2 - 15*v - 31. Factor r(i).\nAnswer: 5*(i - 3)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6))\/((-2)\/(-12)). Suppose 4*a - 2*n = 8 - 6, 5*a + 3*n - 30 = 0. Solve -w*i = -a*i + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of -a**8\/120 + 5*a**4\/6 - 4*a**3 - a**2. Let s(x) be the first derivative of v(x). Find the first derivative of s(y) wrt y.\nAnswer: -56*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 32*z**2. Let j(l) = -2*l. What is j(f(a))?\nAnswer: -64*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555 a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115299 is divided by 28578.\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 36 = -0. Let f = 63 - -9. Suppose -3*a = -3*g - f, -7*a = -5*a + 2*g - 32. What is the least common multiple of a and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4874 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1048, 4\/5, -0.4, 0.2, 2 in descending order.\nAnswer: 2, 4\/5, 0.2, -0.4, -1048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**5\/15 + q**2. Let d(b) = 53*b - 6. Let z(h) = -9*h + 1. Let l(x) = d(x) + 6*z(x). Give p(l(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1210 divided by -605\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0493 rounded to 1 dp?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*g = -j - 19, -2737*j = g - 2739*j - 17 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 138*m**2 - 2*m - 2. Let v be z(2). Suppose 4*b - k - v = 158, -4*k = -4*b + 704. Let n = b + -109. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k - 58 = 5*j, -5*k - 4*j = 101. Let q = k - -3. Let t be 9\/q - 554\/(-4). What is the greatest common factor of 23 and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h**3 + 156*h**2 - 10409*h - 401317. Determine r(-38).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7415?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81 and 50914062?\nAnswer: 152742186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 19*m**2 - 22*m + 4*m**3 + 52 - m**2 + 23*m - 3*m**3 + 9. Let h be z(-18). Suppose 4*y + 2*i - 197 = -3*i, -106 = -2*y - 4*i. Are h and y equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 2 - (1*4 + 17425\/(-5945)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*1\/4 + 36. Solve 5*f = -2*f - o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 < 102\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/90)\/(128\/(-64000)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4873043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -40668, -51.\nAnswer: -40668, -51, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 1\/20*p**5 + 0*p**4 - 2*p + 0*p**3 + 0 + 0*p**2. Determine h so that m(h) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + (0 + sqrt(2))**2) - (sqrt(16)\/(sqrt(32)\/sqrt(4)) - sqrt(2)).\nAnswer: 4*sqrt(2) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-4))\/((-2)\/((-4)\/(-2)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -10, -3 in descending order.\nAnswer: -3, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + 2 + -2 + 5*(2 + sqrt(1053)) + (sqrt(1053) - sqrt(1053)*1*-5) + -5 + 5 + 4)**2.\nAnswer: 3024*sqrt(13) + 151828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 261088 and -9.26.\nAnswer: 261078.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w - 22. Let y be p(-12). Suppose 2*m - 1152 = -y*x, -2280 = -4*m + 13*x - 11*x. Does 31 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 0 = -2*l, 0 = d - 3*l - 7. Suppose 8 = -4*n, -d*b - 2*n = -0*b - 264. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0105 * 2\nAnswer: 0.021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2736))**2 + -2 - (sqrt(228) + (-1*sqrt(228) - sqrt(228))*4)\/sqrt(12).\nAnswer: 55*sqrt(19) + 2738","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qyeqlqnenqqleeqcqn. Give prob of sequence nql.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - i - 721*i**2 + 226*i**2 - 271*i**2 + i to the form r*i + l + q*i**2 and give q.\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 99 - 96. Let b(m) = 2*m**3 + 5*m - 10 - 3*m**2 + m**2 + d*m**2. Is b(3) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1341 = 5*r + 2*y + 111, -4*r + y = -984. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3*(-3)\/18*0. Let a(r) = r**2 + r + 5. Let i be a(h). Suppose 0 = -0*l - i*l. Solve -t = -5 - l for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 557828?\nAnswer: 2, 139457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1514979, 1514953, 1514939, 1514943, 1514971, 1515029, 1515123?\n\"Answer: f**3 - 33*f + 1515011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g + 1. Let z(u) = 11*u. Let w(t) = 4*a(t) - z(t). Let h(q) = -15*q + 9. Let v(d) = -4*h(d) + 9*w(d). Let b(x) = -19*x**2. Determine b(v(f)).\nAnswer: -171*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = 2*g + 6, 2*g - 43 - 63 = 6*l for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 70*u - 74*u. Suppose 5*x - 55 - 10 = 0. What is the remainder when x is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.3, 1\/4, 9, 59, 0.01?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -27 - 2*r + 23 + 2*r**2 + 4*r. Let f be o(-3). Solve 3*m = 5*m - f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4+-4037166747548\nAnswer: -4037166747552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8872876 is divided by 492937?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 4*n**2 - n - 1. Let v be (14\/2)\/(3 + -2). Let t be (-7)\/3 + v\/21. Let s = t - -6. Calculate g(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, 0, 1, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(((-2)\/(-2))\/(-3)). Let n be (-2 + (-30)\/(-9))\/(16\/48). Suppose -z + n*g + 680 = d*z, -3*g = 4*z - 701. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 117*l - 18. Give x(-1).\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -36 - 3*y + 105 - 36 - 52. Let v be l(-7). Solve -m - 15 = v*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 30 - ((-4)\/6 + 1\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105*0.3.\nAnswer: 31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 1190.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - 12 - -23) + (1 - -3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2009266 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 - -13. Let z = 19 + b. Let d = 1.5 + -1. What is the nearest to -0.1 in -1\/3, z, d?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25\/3? (a) -33 (b) -2 (c) 1\/6 (d) -15 (e) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -112864*n**4 + 112836*n**4 - 3*n + 23 - 3*n**2 - 21 + 2*n**3 to the form b*n**4 + y*n**2 + h + g*n + j*n**3 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10a (base 11) to base 15.\nAnswer: 8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -6*o - 9. Let q = -20 + 16. Suppose 2*y - 31 = -9. Let m(p) = -12*p + y*p - 1 - 2*p - 4. Give q*z(b) + 7*m(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1508?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 250948?\nAnswer: 2, 43, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -16 + (40 - (-121 + 77))?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(32) + sqrt(8)*-6 - (1 + (((0 + sqrt(2))*4)**2 - (sqrt(2) + (1*sqrt(98))**2))).\nAnswer: -7*sqrt(2) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 158\nAnswer: -5\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 104578346051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 9. Let o = -21 + 21. Which is the nearest to o? (a) -1 (b) k (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 2*b + 31. Let g be q(13). Let u = g + 168. Solve 5*z = 3*y - 16, 0 = 5*y - 2*y + 5*z + u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffgfffffffgggff. What is prob of picking 3 f and 1 g?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rcwswmr. What is prob of sequence rms?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p**3 + p**2 - 2*p**3 + 1754*p - 2*p**4 - 879*p - 877*p - 6*p**2 + 8 as o + q*p**3 + n*p**2 + z*p**4 + s*p and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 40 + 269 = -24 for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(600) - (sqrt(600) - sqrt(600)*-1))*2 - sqrt(600))\/(sqrt(20)\/(5*(sqrt(10) + sqrt(10)*3 + sqrt(10) + sqrt(10)))).\nAnswer: -900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 7533.\nAnswer: 37665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 13 = 4*l + 7, l + 5*p = -21. Let k be (l\/(-2))\/(1\/8). Let y(n) = -n**3 + 4*n**2 - 2*n + 3. What is y(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -52. Solve -x = -4*o - 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 2, w: 2, e: 1, i: 4}. What is prob of sequence we?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.774 + 0.184. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19662826117 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-51542) - 1) + (1 - (-8 - -8)). Is -1 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a. Let b(v) = -20*v + 5 - 5. Calculate b(n(w)).\nAnswer: -40*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-4 - 11)) + -5 + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70669 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27.000018 + -27. Round v to six decimal places.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 171579617\nAnswer: -171579617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0733 - -12.7267. Sort -4, g, 1\/3.\nAnswer: -4, 1\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -3*s + 30829, -2175 = -j - 4*s - 9868. Let f = j - -46115\/6. What is the common denominator of f and ((-3)\/(-9))\/((-19)\/(-9))?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49619 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 6 = 21. Suppose 0 = 3*w + f - 63, -63 = -3*w + 5*f - l*f. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*y + 4*y**4 - 97*y**2 + 97*y**2 + 3*y**4 wrt y?\nAnswer: 84*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -7.7. Let w = 37\/474 + 7\/79. Let k = 0.6 - 5.6. Which is the smallest value? (a) k (b) w (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b (base 13) to base 16\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/9 + 84664*a**2\/9 - 169334*a\/9 + 84668\/9 = 0. Calculate a.\nAnswer: -42334, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219\/13 + 5115\/299. Let g = c - 1913\/368. Calculate the common denominator of g and -23\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -368044, -367862, -367678, -367492, -367304?\nAnswer: -367114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13. Suppose k = 2*h + x - 3, 2*h - 3*x - x = 18. Is h\/4 - (-105)\/4 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 - 90. Which is the third biggest value? (a) -0.2 (b) 0 (c) z (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -8*p**2 + 5*p - 5. Let h(m) = -39*m**2 + 24*m - 24. Let c(k) = -5*h(k) + 24*o(k). Let b(w) = -9*w. What is b(c(s))?\nAnswer: -27*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 304 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.834211 at most -0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -167340.064 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2 + 0 + 3*w - 1 + 2. What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 24636160.9136?\nAnswer: 24636157.9136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*y = 572, 5*i + 0*y + 721 = -3*y. Let p = i - -149. Let z(n) = -2*n + 3. What is z(p)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 137*t = -126*t + 67, 3*t = 48 - 57 for x.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/2 - -8*(-12)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 148848 and 924.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*z**3 + 58534*z**2 + 58546*z**2 - 117080*z**2.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8 = -0*y. Let z(j) = 5 + 0 - y*j - 5. Let n(l) = -13*l**2 - 5*l. Let x(k) = -7*k**2 - 3*k. Let s(r) = -3*n(r) + 5*x(r). Determine z(s(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 4*o**2 - 3*o - 2. Let g(r) = 10*r**3 - 20*r**2 - 14*r - 9. Let f(w) = -11*d(w) + 2*g(w). Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74\/6126369 < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1452054667 rounded to the nearest 1000000?\nAnswer: -1452000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24011044 + 2?\nAnswer: -24011042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c + c**2 - c**2 + c**2 + 0 - 14. Let v be q(-4). Solve 0 = -f + l - 0 + v, 5*f + 3*l = -2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 413 + -224. What is the remainder when j is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9.5999957 + -9.6. What is j rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fifty-one fifths of a microgram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from {v: 1, j: 8, r: 4, d: 5}.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**3 + 7*w - 13*w + 5*w to p*w**2 + o*w**3 + s + y*w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2356 divided by 62\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1 + (-6*(sqrt(30)\/sqrt(2) + sqrt(15)))\/(sqrt(40)\/(sqrt(24)\/sqrt(3))) + -1)*-5)**2.\nAnswer: 2400*sqrt(3) + 21800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53 + -17. Let k = 36.1 - u. Which is the nearest to k? (a) -0.04 (b) -2\/13 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jvjp when four letters picked without replacement from vjjvovjjpvvppvp?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3716 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -47 + 50. What is the biggest value in d, 1, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 16*h - 10. Let w(c) = -5*c + 3. Let u(l) = -3*d(l) - 10*w(l). Let x(k) = 11 - 4 - 29*k - 7 + 28*k. Calculate u(x(r)).\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(3\/7)*n)\/n*n*n**6)**(-12)\/((n\/n**2*n)\/n**(5\/6)*n**(2\/5)\/(n*n**(2\/9))) assuming n is positive.\nAnswer: n**(-62677\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 6:09 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43 - -42)*(-25 + 9)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2727 and 8.\nAnswer: 21816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -12?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 3 (c) -7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 21*a**4 - 576*a**3\/7 + 540*a**2\/7 + 48*a\/7 = 0.\nAnswer: -4\/49, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + 1. What is the common denominator of 1\/(-3) + 31\/k and -73\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 196881 and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 136*w**2 + 56 + 154*w**2 - 17*w**2.\nAnswer: w**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -30*x**2 - 28825*x + 10368050. Let c(n) = 7*n**2 + 7206*n - 2592012. Let u(a) = 25*c(a) + 6*d(a). Suppose u(j) = 0. What is j?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 16 = 0, -109*i + 112*i = -2*u + 4*u + u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27830, -28990, -30156, -31328, -32506, -33690?\nAnswer: -34880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -479 + 483. Solve 4233*j**2 + 0*j**i - 4305*j**2 - 48 + 96*j - 3*j**4 + 24*j**3 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25442832*n + 7410331?\nAnswer: 25442832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 160*u*v*x**4 - 5*u*v*x**3 + 4*u*v*x**2 + u*v*x - 8*u*x**2 + 4*u - v*x**4 - 5*v wrt x?\nAnswer: 3840*u*v*x - 30*u*v - 24*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 0, v - 56 - 195 = -5*l. Let w = -45 + l. Suppose -f - 2399 = -3*a - 3*f, -5*f - 3965 = -w*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40\/192*6*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + h = -h + 46, -3*z = -5*h - 40. Suppose 0 = -3*q - 5*i - 20, -2*i + 4 + 0 = 0. Let l = q - -19. Is z at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 98*b**2*f - 4*b**2 + 3*f + 109 wrt b.\nAnswer: 196*b*f - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.02 + 0.22. Let w = -9322 - -9326. Let m = -0.08 - -0.38. Put o, m, w in ascending order.\nAnswer: o, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2*24\/9.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 9*q**2 - 12*q. Let h be u(10). What is the units digit of 5\/h + (-101)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4728 + 4718. Let n(h) = h + 33. Give n(j).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -0.04, -0.5, -4\/9?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 j when four letters picked without replacement from {j: 2, h: 2, q: 3, c: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -14*l - 11. Let k(g) be the second derivative of 5*g**3\/2 + 6*g**2 - 2*g. Let x(h) = -7*a(h) - 6*k(h). Is x(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/2))**(-10\/7))**(-7) assuming l is positive.\nAnswer: l**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 2*x + 24, -3*x - 99 = -4*j - j. Suppose 1598 = j*n - 1606. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 15*b**2 + 7550*b + 98000 = 0.\nAnswer: -490, -40\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*n + 3. Let p = 6 + n. Suppose 0 = -2*w + 4*l - l + p, -5*l = -2*w - 5. Does 5 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 22\/6) + (-12)\/(-18)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 36 = 24. Calculate the greatest common factor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 5817759?\nAnswer: -1\/5817759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfjjjjfjfjfpjf. Give prob of sequence pjjf.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 468858094 a multiple of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 5*y - 3. Let k be (-9*(-1)\/3)\/(12\/8). Suppose -d = k*i - 3 - 6, 15 = 3*d. Suppose 0 = -i*c - 4*g + 16, -28 = -4*c + 3*g - 7. What is b(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -5*r + 5\/6*r**3 + 0 + 13\/2*r**2. Differentiate s(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000337075151 to 7 dps.\nAnswer: 0.0000337","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1647 is divided by 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1376 and -5.\nAnswer: -6880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/3)*z**(-13) assuming z is positive.\nAnswer: z**(-41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*r*w**3 + 122*w**3 + 2*w**2 wrt r?\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from {r: 8, v: 2}.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606567613 to the nearest integer?\nAnswer: 24629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-30)*0*(-7)\/(-21). Let n(f) be the first derivative of 11 + o*f - 4*f**3 - 7\/2*f**2. What is the second derivative of n(b) wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-135)*-6*10?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-42)*(-14)\/22. Which is the second biggest value? (a) 4 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 5. Let y be o(4). Let m = -102 + 106. Let d = 0 - 0.4. What is the second smallest value in y, m, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:00 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 4819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 372 + -374. Put -5, 2, 47, j in descending order.\nAnswer: 47, 2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 + d - d**4 + 2*d**4 + 3*d**2 + d**4 + 0*d**3 to the form a*d + p + k*d**3 + y*d**4 + z*d**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d - 3595 + 3595. Let u be n(-3). Let l be 0 - 0 - -2 - (-6)\/u. Solve 11 = v + l*b, -v - b = -3*v + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 8:42 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8*7\/(-70))\/((-4)\/(-6)). Which is the biggest value? (a) l (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -25*a + 53*a - 24*a - 44. Put -3, -2.7, -4, a in descending order.\nAnswer: a, -2.7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**3 + 8*i**2 + 8*i + 4. Let k(o) = -o - 1. Let g(n) = 12*k(n) + m(n). Factor g(y).\nAnswer: 4*(y - 1)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/75 - 9\/(-10)*(-2880)\/(-1350)) + 47.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1180555, -1180560, -1180565, -1180570, -1180575?\n\"Answer: -5*j - 1180550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**4 + 15095629*q**2 + 533131153 wrt q.\nAnswer: -8*q**3 + 30191258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -2*g + 3*g - 3*z, -4 = 3*g + 2*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from tcytyypcfpyyo?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-5))\/(f*f**(1\/3)))\/(((f\/f**(6\/7))\/f)\/f**(1\/4))*(f**(-10)*((f*f\/f**(1\/10))\/f)\/f)**(2\/15) assuming f is positive.\nAnswer: f**(-3901\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57.4, -2, 0.2, -37 in descending order.\nAnswer: 57.4, 0.2, -2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20*(-56020)\/(-1680) - 2\/(-21) is divided by 83.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + (sqrt(99) - sqrt(11))*6 - (sqrt(11) + sqrt(176)*2))**2*-6*1.\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -205 + 201. Let d(j) = 2*j**2 + 5*j + 2. Determine d(k).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -42 + 34 + (-6 - -4 - 1) - -36.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 444*f - 1084. Let p be r(3). Let m = 0 + 31. Calculate the greatest common factor of m and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9452 + 24457. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1385211.9 - 1385204.899987. Let m = 7 - v. Round m to five dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(3 - 2) - (18 + -23 + 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 27 = 3*t + 4*x, -5*t = 3*x - 13. Suppose 4*c + 4 = 0, -5*w - 521 = -t*c + 644. Let l = -122 - w. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31 + -67?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 65185 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: Rearrange -3*w + 5*w + 12*w to the form k*w + s and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 x when four letters picked without replacement from xxwwxxxxwxx.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5\/36? (a) 0.06 (b) -12.8 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 3:06 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(343) + -1))**2 + -4 + (sqrt(14)\/sqrt(2))**2*2 + -4 + (-4 + sqrt(567) + -1 + sqrt(567) - 1*sqrt(567)*-4)**2.\nAnswer: -596*sqrt(7) + 21819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 0.0047.\nAnswer: 0.0752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/3, 1\/4, -3\/1436, 133 in descending order.\nAnswer: 133, 4, 2\/3, 1\/4, -3\/1436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1473*s**2 + 167*s + 4 wrt s.\nAnswer: 2946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 25aa3?\nAnswer: -25aa4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 463958 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = p - 2635, 5111 + 183 = 2*p - 4*u. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 18. Let p be q(10). Let y(s) = s**3 + 11*s**2 - 14*s + 3. Let d be y(p). Solve -5*f + 2*r = -r + 30, 3*r = 4*f + d for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-l - 2 + 2)*(-14 + 14 + 2*l) + 2178 - 2178 - 80*l**2 to the form d + c*l**2 + y*l and give c.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((23\/(-3) + 7)*-3)\/(-11)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -18, 4, 5 in ascending order.\nAnswer: -18, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*v**2 + 12*v - 27*v + 7*v + 8*v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 4)*(-6)\/(-2). Suppose 0*u + 15 = q*u. Suppose -5*i = u*l - 2040, -l - 2*l + 1234 = i. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 + 3*l + 2. Let x be k(-2). Let h be 2*3\/(-12)*x. Let w = h - 1. Which is bigger: 2\/11 or w?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 286*u**5 - 82*u + 3?\nAnswer: 5720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*g**5*u - 10*g**2 + 6*g*u wrt g?\nAnswer: 16080*g**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 75*v**4\/7 - 58515*v**3 + 2618583*v**2\/7 - 998283*v\/7 + 98190\/7 = 0?\nAnswer: 1\/5, 6, 5455","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1230 - 579. Let m = r - 650.99196. Round m to four dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 3*w**2. Let z be j(-3). Suppose -2*a + 12 = -z*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9*873\/(-189) - 2\/(70\/(-15))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -373, -1378, -3369, -6676, -11629, -18558, -27793?\nAnswer: -39664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**3\/c*c)\/((c*c*(c**(-5)*c)\/c*c)\/c))**27\/((c**(1\/4)*c)**(-7\/5)\/(c**0*c*c\/(((c*c**(-2\/3)\/c)\/c)\/c*c)*c)) assuming c is positive.\nAnswer: c**(2345\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 z when two letters picked without replacement from {f: 4, n: 3, z: 4}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose -5*u = -3*u - 10. Suppose -2*y + u = -1. Solve -12 = -b*q - y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -50 - -13) + 117?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -15*f**2 + 2*f + 0*f + f - 9 + 16*f**2. Let q be c(-11). Suppose -5*h - d = -5*d - q, 0 = 5*d + 5. Calculate the highest common factor of h and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5488.9 and 1.085.\nAnswer: -5955.4565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 2. Let d = 23 - 18. Suppose 1 = -d*c + 41. Calculate the highest common divisor of f and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x - 25. Let a(v) = -185*v. Calculate w(a(n)).\nAnswer: -1850*n - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -11. Let t = u + -4. What is the third biggest value in t, -7, -0.4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1711 + -3343\/2. What is the common denominator of s and (-202)\/40 - (-2)\/(-2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 6. Let a be j(-6). Let b = -12 + a. Solve 2*h = 3*y - 4*y + 3, 5*h + 3*y - 10 = b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 53907 and 24462.\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + -2. Let l = 2.6 + z. Let k be ((-15)\/12)\/(-5)*-2. Which is the nearest to k? (a) -2 (b) 0.2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**2\/2 + 8*j - 1. What is the least common multiple of i(0) and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jsj when three letters picked without replacement from ujpjviuisupvpv.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1785015072 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 25*i - 23*i + 7 - 3. Let j be (0\/(-2) - (-8 - -12))*2. Let m(c) = 4 - 6 - 9 - 5*c. Calculate j*z(r) - 3*m(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73 - -40 - (-272 - -230).\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*h - 342*h - 1241*h - 47328 = 0 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**4 - 1047*z**3 + 56423*z**2 - 795525*z + 1373750 = 0.\nAnswer: -1099, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 75*g + 10. What is v(-2)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -9\/40?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 842643.9um?\nAnswer: 0.0008426439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in 1\/4, 1157, -5\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-4)\/(-6 + 18). Let f = 2 + 0. Sort -5\/4, p, f in decreasing order.\nAnswer: f, p, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 1:19 PM?\nAnswer: 4:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/42*(-3)\/16.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58 - 4*z + 58)*(-1 - 1 - 2)*(-4 - 3 + 6) + (2*z - 6*z + 2*z)*(35 + 7 - 5).\nAnswer: -90*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 165 or -8783?\nAnswer: 165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 3*l - 10. Let p be j(12). Suppose z + 5*u - p = 0, -u - 7 - 12 = -2*z. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2799813584?\nAnswer: 2, 29, 6034081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4019 divided by -80?\nAnswer: 4019\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 74*g**2*h**3 - 285120*g**2*h**2 - 114*g*h**3 + 6*g*h + 8536*g - 2*h**3 - h**2 - 2*h wrt g?\nAnswer: 148*h**3 - 570240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4\/3 + 6700*u**3\/3 + 40006*u**2 + 219944*u\/3 + 106624\/3 = 0.\nAnswer: -3332, -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*-1)\/sqrt(10))\/(sqrt(108)*-3 + sqrt(3)).\nAnswer: sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 559\/(-78) - (-49)\/7?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/4)\/(-3)*110320\/(-11820)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00021213068 to 6 decimal places.\nAnswer: -0.000212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1189*l - 1356*l - 236685 = 0 for l.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2311 + -35654?\nAnswer: -33343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/10 + 18\/45. Let d(a) = -5*a - 1. What is the lowest common multiple of d(w) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16200\/(-1296))\/((-9)\/(-48)*2*(-28)\/42)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 4*z - 1. Let s = 11 - 2. Suppose 5*l + s = 4. What is o(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-32) - 21\/42.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/43710 and 91\/87420.\nAnswer: 87420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 3 - 3)*(-24*b**2 + 11*b + 25*b**2 + 0*b).\nAnswer: -b**4 - 11*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.18332964 rounded to three dps?\nAnswer: -1.183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 218 in -0.432, -0.4, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5777 divided by -5\nAnswer: -5777\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, a: 1, p: 1}. What is prob of picking 2 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 13*v - 111. What is m(8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 121*c - 125*c + 1512. Suppose 4*o - 1776 = 3*l, c = o - l - 65. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 1041417.\nAnswer: -312425.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -78*-3*30\/36. Let x(l) = l**3 + 5*l**2 - 9*l - 3. Let k be x(-6). Calculate the highest common divisor of c and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134970.2533317 + -0.7.\nAnswer: 134969.5533317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 3 r when four letters picked without replacement from {f: 3, y: 2, r: 12, p: 3}.\nAnswer: 88\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -94*s + 18*s**2 + 371 - 171 - 26*s.\nAnswer: 2*(3*s - 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76 + 76. Calculate the remainder when 2*((-23)\/(-2) - (-3 + b)) is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3*s - 13157*p**3 - 40*p**2*s**2 - 996920*p*s**2 + 28*p wrt p.\nAnswer: 18*p*s - 78942*p - 80*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14825 - -14817. Which is the fourth biggest value? (a) -3\/2 (b) 0.5 (c) -0.3 (d) -16 (e) t\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 2*g + 26760 = 0, -2*p = 3*g - 30074 - 23453. What is the thousands digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 9*g**2 - 11*g - 20. Let a be p(-8). Suppose i - 2*i = -a*k + 216, 3*i - 41 = -k. What is the remainder when k is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(1 - 0) - 6. Let x = -5 - r. Let z(t) = 14*t**3 - t. Let q be z(x). Solve -i - q = -4*h, -8 = -4*h + 2*i + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 7*s**2 + 5*s**2)*(-16*s - 70*s + 10*s)*(1 - 1 - s).\nAnswer: -76*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 5*d - 56. Let a be (-620)\/(-280) - 4\/d. Let k be (1 - -2)*2\/(-16). What is the closest to 2\/3 in a, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -383, -542, -685, -812?\nAnswer: -923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 373906.\nAnswer: 3739060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y + 16. Give p(6).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 66465.56 days?\nAnswer: 9495.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*h, -3*i + 0*h + 2*h = 28. Let w(v) = 5*v**3 + 15*v**2 - 11*v - 17. Let x(u) = 2*u**3 + 5*u**2 - 4*u - 6. Let f(g) = i*x(g) + 3*w(g). What is f(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.31 and 1.6295562.\nAnswer: 0.505162422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 1. Determine m(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(0 + 2) + 2. What is the first derivative of -k - j + 2 - 3 wrt j?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + sqrt(320) + 4*sqrt(320)*-2 + -1 + 6*(sqrt(320) + 1))**2.\nAnswer: -288*sqrt(5) + 802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1 and -1683834?\nAnswer: 1683834.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96, 2954, 10792, 26100, 51368?\nAnswer: 89086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15.10091 - -15.1. What is n rounded to four decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 80. Let r be f(0). Suppose 0 = r*a - 75*a - 1310. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - m - 12 = m, 0 = 4*l - 5*m - 18. Factor -2\/7*y**l + 2\/7*y + 0.\nAnswer: -2*y*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18094979 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9 and -1*17360\/(-36) + (-18)\/81?\nAnswer: 4338","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -118, -0.2642, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 - 8*w**2 + w + 8. Let l be z(-8). What is the second derivative of l + k**5 - 2 + 2 - 2*k wrt k?\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.026499159 + 0.0265. What is v rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, and 1 e when three letters picked without replacement from {a: 2, p: 1, e: 3, z: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 116565 and -4.25.\nAnswer: -495401.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 241 - 432. Let c = 4013\/21 + m. Let b = -45 - -44. Which is bigger: b or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -107630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 176 - 180. What is the third biggest value in 7.7, t, -0.4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 979 and 445.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.12*5.17.\nAnswer: 0.6204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**3 + 12*r**2 + 19*r - 1. What are the prime factors of v(-4)?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-54)\/(-45)*((-52)\/8 - 1). Let i be ((-1)\/(-2))\/(h\/(-1296)*6). Solve -i*o + 16*o - 12 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by (61\/(-61))\/((-3)\/267).\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-one quarters of a micrometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30 - -10. Suppose 4*l + 4*t = 3*t - 1800, 0 = -l + 5*t - 450. What is the units digit of (l\/k)\/(3\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 7*l**2 - 10*l + 13. What is t(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/10710 and 109\/5101530.\nAnswer: 15304590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*1 + sqrt(77))*2 + -2*sqrt(77)*2)\/(5*1*sqrt(275)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 89 - 400)*(q + 3*q - 3*q)*(-q**3 + 3*q**2 - 3*q**2).\nAnswer: 364*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 4*x + 2. Let u be b(-3). Suppose 3*z - u*g = 302, -z - 461 = -5*z - 5*g. Suppose 3*f = -10 + z. Does 11 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -254 or -1269\/5?\nAnswer: -1269\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111021 (base 3) to base 15.\nAnswer: 18d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xhxxxxxxxhxx. What is prob of picking 1 h and 2 x?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 101.009646 to 1 decimal place.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55696?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ebe when three letters picked without replacement from {e: 2, b: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -24) + 4 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000514412 to seven decimal places.\nAnswer: -0.0000514","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {b: 5, n: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 84213717?\nAnswer: 3, 7, 4010177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3715540)\/75315 + 2\/(-8)*(-12)\/(-9)*-1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v + 4 + 11 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1849\/3312 - -1\/368. Sort z, -0.3, -5, -3 in ascending order.\nAnswer: -5, -3, z, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - 18 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22424560?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1204 and 35217.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -5. Suppose -5 + 17 = l*j. Suppose -j*p + 60 + 16 = 0. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -6 + 5 + -2 - (-2 + 1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -y**5 + 16*y**3 + 194*y**2 wrt y.\nAnswer: -60*y**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -37637 rounded to the nearest one hundred?\nAnswer: -37600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 223, 344?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427188 is divided by 729?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2 - 15950*r - 19373256.\nAnswer: (r - 17084)*(r + 1134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 1871092*j + 20581891.\nAnswer: (j + 11)*(j + 1871081)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 26488 and 1075?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.3, 0.2, 2\/11, -0.4, 2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2074*h - 509*h - 1570*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 smaller than -24383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 3:09 AM?\nAnswer: 1:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -120*b**2. Let o(u) = 21*u. Determine o(i(p)).\nAnswer: -2520*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (30464\/(-336) - -90) + (2 - (-8)\/6). Let g be ((-4)\/5)\/((-2)\/5). Factor c - 2\/3*f**3 - 8\/3*f**g + 2\/3*f.\nAnswer: -2*(f - 1)*(f + 1)*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-3 + 3))*-74. Suppose 4*r = t - 36. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.805 + -5.805. Sort -3, -5, 77\/4, x.\nAnswer: -5, x, -3, 77\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 0.3. Let n = k - -17.8. Let u = 17 - n. What is the closest to 0.1 in 5, u, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 673871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25 + 24. Which is the smallest value? (a) 1\/6 (b) 2 (c) 0.5 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r - 12. Does 24 divide r\/(-12) + 591\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2854 + -2853. Solve -4 = -2*a, 3*z + 3*a = -2 - p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85473 is divided by 14233.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -679 + 1173. Calculate the greatest common factor of 52 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 divided by -6.\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 95, 98, 125, 188, 299, 470, 713, 1040?\n\"Answer: 2*a**3 - 11*a + 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vbvbbbvvvhb.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6721*z - 174693 - 73984 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.174765 rounded to two decimal places?\nAnswer: 2.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/6*(-1815)\/(-110)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2251.47 - 2250. What is the second biggest value in -5, -3, r, 2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46\/97 and 91\/8.\nAnswer: 776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-660)\/(-140) + (-20)\/4\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**4\/3 + 13244*t**3\/3 + 106148*t**2\/3 + 66380*t = 0. What is t?\nAnswer: -5, -3, 0, 3319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*2)\/sqrt(6) - sqrt(17)) + -4.\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.6 - -1.6. Let i = -3 + -2. Let m(u) = u + 9. Let b be m(i). What is the nearest to 0.1 in f, -4, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101103002 + 2003?\nAnswer: 101111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -174*x - 583 - 5536 = -26*x + 5869 for x.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 28. Suppose -3 = 5*d - 2*d, 0 = 4*w - 5*d - 21. Let m = t + w. What is the remainder when 11 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1c + -12b?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1159570 divided by -323.\nAnswer: 3590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 - 52*v - 62*v - 24*v**3 + 168*v - 57*v wrt v.\nAnswer: -144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of 0*b**5 + 71\/120*b**6 + 0 + 12*b**3 + 0*b**4 + 59*b**2 + 0*b. What is the first derivative of g(k) wrt k?\nAnswer: 213*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -49715, -49767, -49937, -50285, -50871, -51755, -52997?\n\"Answer: -10*b**3 + b**2 + 15*b - 49721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 164 - 1260356?\nAnswer: -1260162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of -x**4\/4 + 14*x**3\/3 - 6*x**2 - 13*x + 1. Let a be p(13). Let w(b) = -b**2 + b + 10. Give w(a).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, 162, 1, -182, 4, 5 in ascending order.\nAnswer: -182, 0, 1, 2, 4, 5, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 8*j + 16 - 35.\nAnswer: -8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -36*s**3 - 10*s**2 - 8. Let t(z) = -37*z**3 - 15*z**2 - 8. Let w(u) = -3*i(u) + 2*t(u). Let d(c) = 11*c**3 + 3. Calculate 8*d(a) - 3*w(a).\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 5, p: 3, f: 2, x: 3, d: 6}. Give prob of sequence xd.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -147147*l**3 + 153065*l?\nAnswer: -882882*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -21. Suppose 3*x - 3*j = -y*j + 24, -2*x + 5*j = -41. Let s be (78\/(-4))\/(9\/(-12)). Calculate the highest common factor of x and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-22))\/(k**(5\/9)\/k*k) assuming k is positive.\nAnswer: k**(211\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 5:35 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 129458268 to the power of 1\/2, to the nearest integer?\nAnswer: 11378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5588228 to the nearest integer?\nAnswer: 177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/(-63)*21\/(-2))\/(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 4, 8 in ascending order.\nAnswer: -6, -3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 687.8103415 less than -0.3?\nAnswer: -688.1103415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1821161 = 57*z + 667635 - 487447. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97845404 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5927*j**2 - 8*j - 105?\nAnswer: 11854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**5\/4 - 437*x**4\/4 + 484223*x**3\/2 - 63645127*x**2 - 193117314*x = 0.\nAnswer: -1318, -3, 0, 442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497625161 to the nearest integer?\nAnswer: 22308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + 1 - (0 - (2 - -5) - -2 - -8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 11:00 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 10*m**2 - 3. Let s be t(-10). Suppose -6*o = 3 + 3. Sort -4, s, o in increasing order.\nAnswer: -4, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326748?\nAnswer: 2, 3, 73, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*x - 28 = -1, 0 = -b + 4*x - 24. Let m be 1 - 281972\/b*1\/(-42). Let s = m - -3933\/7. Calculate the common denominator of -59\/10 and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 9:45 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/589560 and 58\/73695.\nAnswer: 589560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 25. Let s be o(0). Let j(x) = -20*x - 15*x + s*x. Let r(b) = b. Calculate j(r(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/2, 13\/5, 3\/2, -1\/3, -129726?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/18*2\/(-4)*(-70)\/21?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - (2 - -17) - (8 + 0)) + 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*3.7072\nAnswer: -7.4144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 508974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16663 and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5 + 0 - 31*o + 5 + 37*o + o**2. Let a be m(-3). Let d(i) = -i - 1. Let h(b) = 2*b - 2. Let r = -200 + 201. Give a*h(u) + r*d(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2*(sqrt(130) + sqrt(130) + sqrt(130)*2) + -2*(sqrt(130) + (sqrt(130) - sqrt(130)*-1) - sqrt(130)))\/(1*(sqrt(1440) + sqrt(1440) + 1*sqrt(1440))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2008 is divided by 67?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g + 603 = 1713 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/3 + 773*r**3 + 4631*r**2\/3 - 2317*r.\nAnswer: r*(r - 1)*(r + 3)*(r + 2317)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f + 7 + f**2 + 8*f**2 + 3*f**2 + f. What is the units digit of g(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 643*v - 5441. Calculate w(8).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bqbbqbbqbb. What is prob of sequence qqbb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/(-224) - ((-1 - -7) + 70\/(-8) + 3).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111, 171, 351, 651, 1071?\nAnswer: 1611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -34, -72, -114, -160?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -1, -5, -12, 0.5, -9, 2\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2067 is divided by 1880.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -16. Let y be -1*10\/((-4)\/2). Is 5 a factor of (-1)\/y - 81\/s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) -20\/7 (c) -14 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23100 and 31317000.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p + 20. Let y(b) = 3*b**2 - 3*b + 2. Let m be y(3). Let l be w(m). Which is smaller: -5\/8 or l?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.084 + -0.184. Let f = -1.9 + y. Sort -4, 0, -0.2, f in increasing order.\nAnswer: -4, f, -0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -6*d - d - 43, 3*k + 61 - 114 = -4*d + 6*d for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -27. Suppose -4*r + 32 = -b*w, 10 = 5*w + 3*r + 77. Let o = 15 + w. What is the second smallest value in 0, -1, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61477228987 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1be95f8 - -10?\nAnswer: 1be9608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3 - 2 + 0*g - 3*g + 2*g. Suppose -3*t = -8*t - 25. Let h be u(t). Solve 4*c - h = 10 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(208) - sqrt(208))*2.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*u - 3*f, 0*u - u - 4*f - 10 = 0. Let j be ((-18)\/(-7))\/((-2)\/u). Let v = -14 + j. Solve -v*a + 3*d + 8 = 5*d, -2 = -a + 4*d for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 8, 0, 5, -1, 7, 13 in ascending order.\nAnswer: -1, 0, 5, 7, 8, 13, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 5*j - 35. Suppose -2*a = 25*a - 22869. Let l = 855 - a. Determine d(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 618 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3971 = -68*x + 13219. Calculate the remainder when 152 is divided by x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 569.6045l to millilitres.\nAnswer: 569604.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006619337 rounded to 4 decimal places?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-8 + 5 - (-7 + 1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 2*d. Let w(g) = 17*g**3 + 7*g**2 + 5*g - 3. Let p be w(-1). Let v(n) = -4*n**2 + 9*n - 1. Determine p*l(j) - 4*v(j).\nAnswer: -2*j**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 1:13 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + -3. Let j = -2462 - -2464. Calculate the highest common factor of o and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + 2*sqrt(70)*2)\/sqrt(10))**2 + -5*(sqrt(847) + 1).\nAnswer: -55*sqrt(7) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -162, -386, -710, -1140, -1682?\nAnswer: -2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3360 - 3366. Let q(z) = 4*z**3 + 24*z**2 - 2*z - 5. Let v(f) = -9*f**3 - 49*f**2 + 4*f + 11. What is l*v(y) - 13*q(y)?\nAnswer: 2*y**3 - 18*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 4, 32 in increasing order.\nAnswer: -5, 4, 5, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -33*s**3*w + 160784*s**3 - 29005109*w with respect to s.\nAnswer: -99*s**2*w + 482352*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316\/77 + 42\/11. Suppose 20 = 5*j + n - 6*n, 5*n + 16 = 4*j. Let d be j\/14*7\/(-3). Which is the nearest to h? (a) 2\/3 (b) d (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**16*n**(-15) assuming n is positive.\nAnswer: n**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -5 + 7 + 0 + 2*p. Let h be 2\/6 + 30\/(-9). Determine f(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 10*s**2 + 9*s + 5. Let z be u(-9). Put -1, z, -5 in descending order.\nAnswer: z, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 15 + 3*i - 13)*(-2 + 7 + 3).\nAnswer: 16*i - 224","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -633*g**3 + 18*g**2 + 26 wrt g?\nAnswer: -3798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 g when four letters picked without replacement from {g: 5, h: 7}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1497 and 15048.\nAnswer: 7508952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -170030 divided by 12145.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/41)*((u\/u**(2\/5))\/u*u)\/u*(u\/u**(-16))\/(u\/((u\/(u\/(u\/(u\/(u**(-1\/19)*u*u*u))*u)))\/u)) assuming u is positive.\nAnswer: u**(72052\/3895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 77137794941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100) + (sqrt(100) - sqrt(100)*3) + sqrt(100) + sqrt(4) + (sqrt(4) - sqrt(12)\/sqrt(3))*-1)\/(-2*-2*sqrt(72)*-6).\nAnswer: -sqrt(2)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -49983 (b) -3\/8 (c) 13 (d) 3\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -101 - -725742?\nAnswer: 725641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 4375016?\nAnswer: -4375015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1206, -4717, -10542, -18675, -29110, -41841, -56862?\n\"Answer: j**3 - 1163*j**2 - 29*j - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 - d**2 + 9*d - 1. Let u be q(0). Do -4\/3665 and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 - -0.4. Let n = i - -0.3. Let h = 5.5 - n. Which is the closest to 1? (a) -0.5 (b) h (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -422.7 and -3?\nAnswer: 419.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12*1*(0 + 1). Let k = 151 + -114. What is the remainder when k is divided by (-9)\/12 + 165\/o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 9*f - 2*q = -28, q = -2*f + 19. Let n(u) = 7*u - 6 + 10*u - u - 10 - f*u**2. Let t(d) = -2*d**2 + 3*d - 3. Calculate -2*n(y) + 11*t(y).\nAnswer: -2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -11*n. Let k be 105\/10*(-4)\/(-6). Let h(c) = -k*c + 5*c + c. Calculate h(z(o)).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17749, -65769, -145801, -257845, -401901?\nAnswer: -577969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 84841.\nAnswer: -4\/84841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b - 6*b - 53*b + 9*b + 1 + 14*b.\nAnswer: -23*b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 4:26 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 2:28 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*g. Let i be 4*(g + -1) - -6. Let o = -179 + 179. Solve o = 3*s - i - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 4*f - 16, 5*y + 0*y - 5*f = -40. Let q(r) = r + 9. Let c be q(y). Solve 0 = -c*m + u - 5, -2*m = u + 1 + 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1036029723, 1036029721, 1036029719?\n\"Answer: -2*l + 1036029725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059827363 rounded to 6 decimal places?\nAnswer: -0.000598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -16*r + 2. What is p(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.2 - -10.6561853.\nAnswer: -3.5438147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*u - 16*u - 19531 = 19162 - 39694 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5796 = 217*m + 105*m. Calculate the remainder when 275 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.919 + 0.081. What is the biggest value in q, 3, -3\/2, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 33 = -4*i - 14, i - 7 = -5*o. Is i\/(-6) - 19568\/(-48) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 2 - 4*c**3 + 5 as y + s*c + w*c**2 + b*c**3 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 18*f - 8. Let n(h) = -98*h + 44. Let z(r) = -4*n(r) - 22*s(r). Let w(p) = -2330*p. What is z(w(t))?\nAnswer: 9320*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*p + 116*p + 4*p = 28*p - 864 for p.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-6) + (2 - 124\/(-12)). Let m = -8 - 0. Let g = m + k. What is the smallest value in g, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33747 or -30879?\nAnswer: -33747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*a + 74*a = -14. Are a and 37\/20 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/8)*q*q\/((q**0\/q)\/q)*(q*q**(2\/13))**(-7) assuming q is positive.\nAnswer: q**(-437\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4805 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 633010812?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 1 - ((-3 - 5) + 8 + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399*z + 7*z**2 - 399*z + 10*z**2.\nAnswer: 17*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*x + 53*x = -41*x - 600 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 37 - 33, 5*n = 10*y + 25 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 478971391 to the power of 1\/2, to the nearest integer?\nAnswer: 21885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1541268 is divided by 148.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20390970 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Let s(f) = 9*f - 39. Let r be s(15). Let o = 383\/4 - r. Which is the third smallest value? (a) w (b) 4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-2))\/(-2) + (66 - 68).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 590 + -291. Let f = -46 + q. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2104338 or 2104342?\nAnswer: 2104338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 21, 28, 13, -36, -131, -284, -507?\n\"Answer: -2*s**3 + s**2 + 18*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + 12*b**2 + 16*b + 58. Let z be u(-11). Suppose -2*y = -j + 13, 0 = -3*j + 3*y + 2 + 22. What is the greatest common divisor of j and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/48 - 755*k**3\/6 - 570025*k**2\/2 + 680*k - 5. Factor t(f).\nAnswer: -(f + 1510)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -616379 rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/585)\/((-940)\/1175)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f. Let c(z) = 4 + 3*z - 2 + 0*z + 6*z**2. Let m(g) = 3*a(g) + c(g). Is m(-2) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 6 + 7 + -6 + 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(343) + sqrt(343) + sqrt(343) + -4)*4 - (4*sqrt(147)\/sqrt(3))\/(-1*sqrt(14)\/sqrt(2)))**2.\nAnswer: -1024*sqrt(7) + 7424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p + 40. Calculate the remainder when q(-12) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 10*z - 10. Let f = -26 + 33. Let t(o) = 3*o**2 + 29*o + 31. Let x(j) = f*q(j) + 2*t(j). Let g be x(-11). Solve g*y = 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89488 divided by -752\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 7:25 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.9 at least -1.0801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8606949 by 3.\nAnswer: -2868983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -w - 217*w**2 + 79*w**2 + 69*w**2 + 2044*w**4 + 70*w**2 + 2217 wrt w?\nAnswer: 24528*w**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*3*(-16)\/(-48). Suppose 3*h - 6 = -f*i, i - 9 = -3*h - 0*i. Suppose -29 = -h*t - 9. Solve -t*z - 29 = 2*s, -5*z - 8 = -3*z - s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4438523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18.54 + -5.44. Let t = h + -12.5. Which is the third smallest value? (a) 8 (b) 1\/10 (c) t (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -100962 and -5?\nAnswer: 504810","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12.34 + 2.56. Let w = l + -2.4. Let k = w - 12. Which is the closest to 0? (a) -2\/7 (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82317, 82319, 82323, 82329, 82337?\nAnswer: 82347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8b2 - -4?\nAnswer: 8b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 12980*s - 168731. Give r(13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -4*z**2 - 3*z - 3. Let w be j(-2). Let s = w + 21. Suppose 4*m = -4*f + 124, 5*m - f - 4*f - 165 = 0. What is the highest common factor of s and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qjs when three letters picked without replacement from {q: 1, j: 2, t: 4, s: 1}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -35.112. Let i = 0.112 - f. Which is greater: -12 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -545 - -557. Solve f*h + 4 = -8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -9*w + 155 + 7*w**2 - 3*w + 15*w - 12*w - 164. Determine v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -71528, 4 in descending order.\nAnswer: 4, 3, -71528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-10)\/3*(-18)\/(-165) and -46\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -3, -6641, -9, 7 in descending order.\nAnswer: 7, 3, 1, -3, -9, -6641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 10 - 20. Let w be (n - -3)\/((-1)\/((-15)\/9)). Sort 5, w, -5\/6.\nAnswer: -5\/6, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2230 - 4?\nAnswer: 2221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-32) - (-195)\/(-40). Suppose 3*c = -d + 5, c + 3*d - 2 = -3. Let f(m) = 7*m + 4*m - 4*m**c - 4 - m**3 - 3*m - 2*m. Calculate f(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2803498 is divided by 623.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1621 + -3748. Let w = y + 5840. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 140699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.19 + -3.81. What is the second smallest value in -0.3, i, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 115, 172, 229, 286, 343?\nAnswer: 400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16.1 + -1.1. Let k = c - 28. Let g = k + 12.36. What is g rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1500)\/(-80))\/15*(-18)\/60?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w + 18. Let n be u(-8). Suppose -2 = n*k - 3*k. Let j(f) = 2*f**2 - 3*f + 2. Let y be j(2). Solve 2*s - y = -6*v + 4*v, 2 = s - k*v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of c**3\/6 - c**2\/2 - c. Let b be r(1). Solve j = -b*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/37, 2\/5, -0.4, -2, 1, 1\/4 in increasing order.\nAnswer: -2, -0.4, -2\/37, 1\/4, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 11:09 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-606)\/(-420) - ((20\/12 - (-265)\/30) + -9)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**6\/120 + 17*r**5\/30 + 31*r**4\/24 + 51*r**3\/2 + 262*r**2 + 3*r. Give f(35).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -27. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 760.0842 - -487442.\nAnswer: 488202.0842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jee. What is prob of picking 2 j and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11780 = -5493*o + 5183*o for o.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1200364*r**3 + 4356652.\nAnswer: -3601092*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (14 + -15 + (-6 - -14) + 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**3 - 2*i**2 - 5*i - 4. Suppose 3*y - 4*m = -23, -2*m = 5*y - m. Let c be v(y). Is (-4 - (-8 + c))\/(2\/10) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*v - 2 - 10, 0 = 2*c + 5*v - 17. Let y = -1 - -6. Let i = y + c. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21577 is divided by 248.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 6 + -1 - (-8 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 56210683*q*s + 40770190*q wrt s.\nAnswer: 56210683*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + -1)*913 + -3. Is 13\/(o\/30) + (-40646)\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 11) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -5, 4314\/109, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -5, 1\/5, -144, 8, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3461790 to the power of 1\/2, to the nearest integer?\nAnswer: 1861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*u - 222 = 2*u, 2*b - 3*u = 149. Suppose s - 15*s = -b. What is the nearest to -5 in 0.4, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*d = 56*d + 17532. What is the hundreds digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 1118*y**3 + 580*y**3 + 15 + 576*y**3.\nAnswer: 38*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 k, 1 t, and 1 i when four letters picked without replacement from qqivkktvvqvtqt.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-92*v - 249*v - 67*v)*(19 - 3 + 16 + 0 + 5).\nAnswer: -15096*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1986252 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -35*m**2 - 6*m - 35. Let y(o) = -194*o**2 - 29*o - 176. Give -11*b(q) + 2*y(q).\nAnswer: -3*q**2 + 8*q + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 3 - (sqrt(17) - (sqrt(170) - 1*sqrt(170))\/sqrt(10)))*-4.\nAnswer: -4*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -123?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 59115267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m. Let n(x) = 1. Let h(b) = -228*b - 10. Let o(d) = h(d) + 10*n(d). What is o(y(g))?\nAnswer: -456*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than or equal to -263\/92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.18 + 0.38. What is the closest to d in 1, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(85)*-3 + (sqrt(85)*3 - sqrt(85))*-5)\/((4*(sqrt(720) - sqrt(45)))\/(sqrt(81)*1)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/6)\/(-10)*(-5)\/2.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -6 - (-30 - (-93 - -67)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*i + 33, 2*f - 5*i = -0*f + 22. Suppose -2*o - m + f = 6, 2*o + 10 = -4*m. Solve -2*c = -4*t, 4*c = o*c - 3*t for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 - i. Suppose -778*v = -770*v + 40. Let x(w) = w**2 + w - 1. What is v*q(p) - 2*x(p)?\nAnswer: 3*p**2 + 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10876 = -1781*b - 22777 - 116331 for b.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -j + 3*f, 3*j - 3*f - 1 - 5 = 0. Let k be -4 + 16560068\/18 + j\/(-9). What is k rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55463*9420\nAnswer: 522461460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 42404 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4689 - 6303 + 8370)*(2 + 2*h - 2) to g*h + u and give g.\nAnswer: -5244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -7 in decreasing order.\nAnswer: 4, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/36)\/(6\/(-64)*2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3056 (b) -3 (c) 8 (d) -7 (e) 2 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 955251020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -1 + 2*t - 6 - 3. Let d be y(6). Solve 4 - d = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1065723 and 6165.\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 15*m**2 - 13*m - 223. Determine u(12).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 PM and 7:25 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1231547927.\nAnswer: 1667, 738781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)*v**(2\/7))\/(v\/(v*v*v*v\/v**(-2\/5))*v)**(-21\/8))\/(v**(-3\/7)*v**(6\/5))**(-1\/31) assuming v is positive.\nAnswer: v**(-15167\/2170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1. Let z(f) = 11*f**2 - 5. Let x = 34 + -26. Suppose -x*b + 3*b - 5 = 0. Let c(m) = b*z(m) - 2*i(m). What is the derivative of c(k) wrt k?\nAnswer: -22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 - (10 + 2 + -15) - 11\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1967, 1962, 1957, 1952, 1947?\nAnswer: 1942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 19*z**2 + 5*z + 294. Give p(20).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 77*o**2 - 1. Determine x(-1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9435847 is divided by 170?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 304, 1319, 3016, 5395, 8456?\n\"Answer: 341*z**2 - 8*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112042653 to the power of 1\/5, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 3*a + 9 = 0, -a - 7 = 27*m - 29*m. Suppose m*z = 38*z - 168544. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -135 - -130. Let m = 13 - 13.34. Let n = m - 0.06. What is the smallest value in n, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71074709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*y**3\/4 + 629*y**2\/2 + 1549*y\/4 + 141\/2.\nAnswer: -(y - 141)*(y + 1)*(9*y + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -14*u**2 - 17*u - 26. Let z(m) = -5*m**2 - 6*m - 9. Let d(n) = -6*l(n) + 17*z(n). Calculate the least common multiple of 5 and d(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 6*w = 25 + 31, 3495*p + 4*w - 3*w + 5 = 3495*p + 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*i**3 + 0*i**3 - 2*i**3)*(536 - 707 - 2197 - 4138 - 401) to k*i**3 + m*i**2 + o + r*i and give k.\nAnswer: -20721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -161*d**6*p + 26*d**5*p - d**2 - 1729*p + 3 wrt d.\nAnswer: -19320*d**3*p + 1560*d**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170267, 340536, 510805, 681074, 851343, 1021612?\nAnswer: 1191881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7069*a*n + 25092*a + 3*n wrt n.\nAnswer: -7069*a + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let x(b) = -40156 + 40156 + 11640*b**2. Calculate v(x(l)).\nAnswer: 135489600*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -23784 + 0.05?\nAnswer: -23783.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -1\/5 (b) 23\/5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*d - 9*d - 24*d - 622960. Is 13 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + -2 - sqrt(68)))*5)**2.\nAnswer: 200*sqrt(17) + 1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 d, and 1 b when three letters picked without replacement from {n: 4, d: 2, b: 7, s: 2, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 594558677?\nAnswer: 594558677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f*f**1)**49*(f\/(f\/((f*f\/f**(-2\/9))\/f)*f)*f**(-1\/3))**(-1\/12) assuming f is positive.\nAnswer: f**(15877\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g - 22. Let a be o(-11). Which is greater: a or 8\/9?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -3, -2, 32.\nAnswer: -5, -4, -3, -2, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 995\/663267*-33*(2\/(-20))\/(1\/2)?\nAnswer: 1\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.034 + 0.176. Let y = -1.09 + 1. Let t = y - s. What is the second biggest value in t, -1\/5, 4\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + 61. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 34*t**2. Let w(b) be the first derivative of 2\/3*b**3 - 95 + 0*b + 0*b**2. Give w(q(v)).\nAnswer: 2312*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4547988*d**2 + 21974*d + 92?\nAnswer: 9095976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3558 is divided by 3316.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117 - 3*r**2 + 3*r - 130 + r**2 to the form c + p*r + m*r**2 and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/4))**42\/(v*v**(-5)*v**(7\/5)))\/((v\/(v\/(v\/v**(-2\/5))*v)*v**(-1\/3)\/v)\/(v\/(v*v**(4\/3))*v**(-5))) assuming v is positive.\nAnswer: v**(-133\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 5036.355 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 12?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -437, -1785, -4135, -7565, -12153?\nAnswer: -17977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, -0.82, -24528 in ascending order.\nAnswer: -24528, -0.82, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 3:02 AM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 264*p**2 + 82 - 62 - 20 + (5 + p - 5)*(-4*p + 3*p - 2*p) + p**2 - 8*p + 8*p.\nAnswer: 262*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1103 + -2)*-137 - 8\/(-24)*-18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9410 - 9407. Which is the nearest to 0.06? (a) -36 (b) -1 (c) -2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.38 times -0.15\nAnswer: 0.057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2. Let d(f) be the first derivative of -7*f**3\/3 - 107. Determine -5*d(m) - 8*n(m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 4 - 2*r**2 + 2 + 3. Let y(z) = z**2 - 4*z + 1. Let n be y(3). Give j(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 10 + 14 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 154*z. Let q(i) = -2*i**2 - 155*i - 1. Determine -3*h(v) - 2*q(v).\nAnswer: v**2 - 152*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.7 + 11. Let v = 6 + -3. Let t = 8 - v. Put m, -4, t in decreasing order.\nAnswer: t, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-72)\/(-54)*((-9)\/(-3))\/(-18)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g + 581 = -44*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11861867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32444 is divided by 156?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -27*p - 6. Let z be h(-1). Calculate the greatest common factor of 3 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6175950.6 rounded to the nearest one thousand?\nAnswer: -6176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 j when three letters picked without replacement from lozljlllzjlzzzzzzzo?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1209*p - 24 = 1213*p. Put p, 3, 0, -3 in descending order.\nAnswer: 3, 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -324141 in 0.4, -0.5, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17969, -18224, -18649, -19244, -20009, -20944, -22049?\nAnswer: -23324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/70*-2 - 18\/110. Sort -3, 4, 2\/9, c in descending order.\nAnswer: 4, 2\/9, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12912093, 25824179, 38736253, 51648309, 64560341, 77472343, 90384309, 103296233?\n\"Answer: -g**3 + 12912093*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2 (b) -3 (c) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*1*sqrt(3645) + 3) - (-5 + sqrt(3645)*1 - 1*(-1 + sqrt(3645) - sqrt(3645)))*-4)**2.\nAnswer: 10800*sqrt(5) + 233905","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 2 - 72 = 0. Do -3 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-3 + -32 - -23) - -13.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2 + a - 1. Let b(d) = 7*d**2 + 3*d - 3. Let m(c) = 2*b(c) - 5*z(c). Let x(w) = 2*w**2 - 6*w + 2. Let r(g) = 3*m(g) + x(g). Calculate r(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2019, 0.4, -0.1, 1 in ascending order.\nAnswer: -2019, -0.1, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**2 + a + 4. Calculate the least common multiple of o(3) and 14.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25 (base 16) to base 10\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 320\/(-80) + 2\/(-2*(-4)\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of -i**3 - i. Let q(l) be the third derivative of 0*l**3 - 1\/12*l**4 + 0 + 0*l + 213*l**2. Determine q(t(z)).\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*m**2 + 912845*m + 59860 = 0.\nAnswer: -4\/61, 2993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3518*q - 264770 = -60726 for q.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1413*b**5 - 217*b**2 + 15*b.\nAnswer: -84780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 7, m: 3, n: 8}. Give prob of sequence nmy.\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -662, -1515, -2938, -4931, -7494?\n\"Answer: -285*x**2 + 2*x - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/262636 and 79\/1002792.\nAnswer: 11030712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/107555 and 73\/522410?\nAnswer: 3656870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.63872 rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -545*n - 546*n - 537*n - 540*n - 534*n + 2701*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53016*c + 918 = 53050*c for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -11, 7, 0.4, 18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 201, 189, 177, 165, 153, 141?\n\"Answer: -12*k + 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**7\/210 + r**5\/10 + 2*r**2. What is the third derivative of f(u) wrt u?\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 - -186.47.\nAnswer: 186.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zfmhnfzzzz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13050 = -14*o + 12*o. Let y = 10354 + o. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -2. Suppose -m = -4*q + 16, -q + p*q = -4*m - 10. Solve 0 = q*s - 8*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.3 - 0.4. Let x = 0.1 - a. Which is smaller: x or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133447 is divided by 99?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(51)*-1 - sqrt(51) - -2*sqrt(7344))\/(5*sqrt(336)\/sqrt(7)).\nAnswer: 21*sqrt(17)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - h + 4. Let u be z(4). Suppose 0 = -2*t + t + u. Suppose 0 = 4*w - 88 - 100. Calculate the remainder when w is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**7\/210 - v**4\/6 + 5*v**3\/6 + 2*v. Let a(d) be the second derivative of g(d). Find the first derivative of a(u) wrt u.\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 - -8.1. Let g = v + -14.34. Are -1 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238 + -130. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*g**5*q + 26591*g**2*q - 38*g*q - 273*q wrt g?\nAnswer: -120*g**3*q + 53182*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5487a (base 12) in base 15?\nAnswer: 2320d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-17)*s\/(s\/s**(2\/19))*s)**31)**(2\/49) assuming s is positive.\nAnswer: s**(-18724\/931)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1502.\nAnswer: 2, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r - 4*r + r + 2. Let l be a(4). Let s be ((-8)\/36)\/(l\/6). Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/118 - 121\/2714. Let u be 29\/(-12)*3*-7. Let t = 51 - u. What is the third biggest value in -5, t, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7804840 divided by 3?\nAnswer: -7804840\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 7021693187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of 4*z**3\/3 - 9*z**2\/2 - 11*z. Let a(m) = -17*m + 17. Let t(r) = 3*a(r) + 7*k(r). Differentiate t(d) wrt d.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 15?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489 (base 11) in base 12?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 + -33 + 14)*6\/55.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 224, 226, 228?\n\"Answer: 2*r + 222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 426 divided by -71\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (140\/(-56)*321\/(-5))\/(-5*(-9)\/30)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4453416 divided by 3.\nAnswer: 1484472","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-8) + (-1)\/(-36). Which is the nearest to w? (a) -3\/5 (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -3*r + 12. Suppose 6*c = 3*c + r*h + 457, -4*h + 318 = 2*c. List the prime factors of c.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 5*v - 25 + 8, -4*v - 2*z = -10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260345 is divided by 2625.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 + 323208*o**2 - 1292868*o + 1292880.\nAnswer: 3*(o - 2)**2*(o + 107740)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1298\/(-7) + 249\/83. Let t = n + 15947\/84. Find the common denominator of 2\/33 and t.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21762?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(200))**2.\nAnswer: -120*sqrt(2) + 236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 372*o**2 + 9495*o - 62091. Determine l(345).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**3 + 6*q**2 - 2*q + 4. Let z(x) = -3*x**3 + 17*x**2 - 7*x + 13. Determine -8*f(h) + 3*z(h).\nAnswer: -h**3 + 3*h**2 - 5*h + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1150 less than or equal to -1152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 1996 - 449 = 0. What is the units digit of 7 + (3 - 6) + q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**7\/2520 + k**6\/144 + 7*k**5\/120 - k**4\/24 + k**2. Let q(s) be the second derivative of o(s). What is q(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 584 = -102. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 + i. Let c be y(2). Let u(o) = -o**3 - 7*o**2 - 7*o + 2. Calculate the remainder when (5\/10 - 0)*26 is divided by u(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873794823?\nAnswer: 41851, 44773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/115966 and -7\/1702.\nAnswer: 4290742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 56*q + 3. Let m(o) = -2*o - 1. What is 6*m(i) + z(i)?\nAnswer: 44*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13268 (base 12) to base 14.\nAnswer: 981a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 0. Let h = -246 - -486. Let s = h - 75. Calculate the greatest common factor of s and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18609?\nAnswer: 3, 6203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 167960000 rounded to the nearest one million?\nAnswer: 168000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3732983, 3732979, 3732973, 3732965, 3732955, 3732943, 3732929?\n\"Answer: -h**2 - h + 3732985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 291627719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64558 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 6489 divided by -3\nAnswer: -2163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5*j. Let f(t) = t. Let g(k) = 4*f(k) + m(k). Let n(z) = -z - 4. Let b(q) = -q + 1 - 4*q + 6*q. Let h(v) = -4*b(v) - n(v). Give g(h(p)).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1932 divided by 644\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/4, -0.1, -77\/4, -1.6, -0.04, 5\/4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 12) to base 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1349855*4.\nAnswer: 5399420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 37668 = -5*q + 37686, 4*q = 4*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*f - 3*f = -100. Suppose -l + 4*h = -164, -2*h = -f*l + 578 + 50. Is 33 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -20.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215652854 to the nearest integer?\nAnswer: 14685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210, -16, 2\/5.\nAnswer: -210, -16, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 1. Suppose -4*j + 83 = 11. Let l be 2 + 4\/j + -2. Which is the second smallest value? (a) -3\/5 (b) l (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, r: 1, h: 2, v: 4, t: 2, o: 1}. What is prob of sequence mv?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -3\/4, -1\/7 in descending order.\nAnswer: 9, -1\/7, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 38074 - 374 = 0. Let i = -2369 - z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 42.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4321 + -6707. Is (5 - (-11)\/(-2))*g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 808 and 3024705176?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 y, 1 v, and 1 j when four letters picked without replacement from {y: 1, v: 2, t: 1, j: 1, w: 1, k: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 3*v = -4, -2*s + 4339 = -231*v + 3911 for s.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/12 and -109\/868384.\nAnswer: 2605152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imaaatwtiiitiaaait. Give prob of picking 1 w and 1 m.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14065 - -70337\/5. Let -x*s + 28\/5*s**2 - 4*s**3 + 0 + 4\/5*s**4 = 0. Calculate s.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 5*l**2. Let n(q) = -q - 31 + 36 - 6*q. Let m(j) = 3*j - 2. Let f(x) = 5*m(x) + 2*n(x). Determine f(k(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q**3 + q**2 + 4*q + 9. Is k(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 21. Suppose -4*j + 3*j = -b. Let q be 4\/j*(4 + -2 + 1). Solve -3*h + 4*a + 14 = -2, 2*h - q = -4*a for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1982375 is divided by 3304.\nAnswer: 3279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 650 and 57445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n - 8. Suppose -n*p + 5*h + 25 + 12 = 0, p + h = 8. Solve p = -g - 4*r, -3*r - 12 = -g + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 7, -8, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 4*y**2 + 1. Let m(c) = 4*c**3 + 20*c**2 + 61. Determine -2*m(v) - 10*r(v).\nAnswer: 2*v**3 - 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(108)*-2)\/sqrt(12))\/(-2*(-3*sqrt(432) - sqrt(432))).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3507, -9666, -18495, -29994, -44163, -61002, -80511?\nAnswer: -102690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q - 13. Let u(v) = -2*v - 3. Let p be u(-3). Suppose p*c + o - 2*o = 17, -19 = -3*c - o. List the prime factors of k(c).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 10*p**2 + 5*p - 2. Let c = -1219 + 1217. Determine k(c).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 - 28.11. Let o = v + 0.61. Let f be 9\/(-5) - (1 + -3). What is the nearest to -2 in o, f, 0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-2 - (-2 + 1)) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18\/5 of a minute?\nAnswer: 216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251.\nAnswer: 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40343 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 9:15 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389 a factor of 1134249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4\/7 + 194*j**3\/7 + 1032*j**2\/7 - 1224*j\/7 = 0. Calculate j.\nAnswer: -6, 0, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 11*s**2 - 10*s + 18. Is z(12) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(1\/2)\/j)\/j**(-4))**(15\/2)*(j\/(j*j*((j\/j**(3\/7)*j)\/j)\/j*j*j*j*j)*j**(-5))**(-6) assuming j is positive.\nAnswer: j**(2343\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3491409 divided by -15\nAnswer: -1163803\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51422 to the power of 1\/2, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of 2*m**5\/15 + 2*m**2. Let z(t) = 2*t + 4*t - 10*t + 3*t. What is z(k(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**17)**(-4\/13)\/(p**27\/(p\/p**3)) assuming p is positive.\nAnswer: p**(-449\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 109408394.999826 + -109408527. Let q = 1.66 + -133.66. Let t = q - j. Round t to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:17 AM and 11:44 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 15\/(-12)*3\/5. Let q = -35 + 77. Let l = 44 - q. What is the closest to l in j, -2\/19, -0.5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.02 or 63808?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 12*z + 3 = 5*h, 0 = -5*z + 5*h - 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/17 (b) 2 (c) 31 (d) -146 (e) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.6671 grams to nanograms.\nAnswer: 18667100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-20)\/(-3)*(-18)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -753, -737, -709, -669?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*y = -11*y - 38412. Suppose 6*z - y = -16*z. List the prime factors of z.\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 36*f - 66. Let k be r(34). Solve 2*h - 6 - 4 = k*u, 18 = 2*h - 4*u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217846688.7 rounded to the nearest 10000?\nAnswer: -217850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*r + 12, b = 5*r + 4*b - 22. Put -4, r, 17, 0 in ascending order.\nAnswer: -4, 0, r, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*x**2 + x**3 - 67*x**2 + 1 + 40*x**2 in the form c + f*x**3 + q*x + r*x**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -25511.016 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 68.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -14\/25, 4, 54\/19, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-15)*35*(-6)\/(-1470)?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 513747044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 7:45 PM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 534*f - 7074. Give a(14).\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 454154752.\nAnswer: 2, 83, 10687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-18) + (-115)\/(-9). Let r be (-1 - (-1 - 2)) + o. Let c(z) = z**2 + 6*z - 40. Let x be c(4). Solve 4*t = -3*j - r, 2*t - t = x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**7\/42 - 3*q**6\/2 - 27*q**5\/2 + 3645*q**4\/2 + 98415*q**3\/2 + 4*q**2 - 1092*q. Solve h(i) = 0.\nAnswer: -9, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v. Let q = 20 + -13. Let x(g) = g**2 + g**2 - q*g**2 + g**2. Calculate d(x(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-5))\/((-440)\/(-200))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7808 is divided by 462.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1475699 + 8749*h + 1475699 to the form s*h + z and give s.\nAnswer: 8749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -169 + 304. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/8 - 23*x\/2 - 48.\nAnswer: (x - 96)*(x + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of q**3 - 2*q**2 + 9*q - 2263. What is j(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**5 - 2128311*v**4 + 377485219989*v**3 - 3397226512773*v**2 + 5662005878808*v - 2642262457716 = 0.\nAnswer: 1, 7, 354714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(27)*5)\/(sqrt(9) - sqrt(900)*-1) + 2)**2.\nAnswer: 20*sqrt(3)\/11 + 559\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u = -6*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*p - 47 = -5*c - 50*p - 51*p - 50*p, 3*c = -9*p - 327 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13460 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6986 is divided by 188?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 95, 107, 133, 179, 251?\n\"Answer: p**3 + p**2 + 2*p + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2681 - 2679. Which is the nearest to r? (a) 3\/4 (b) 0.5 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2385 - 0.2485. Let w = 52 - 28. Let f = -28 + w. What is the nearest to 0.2 in f, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3 + 8 = 0, -2*f = -z - 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -17879.6 and -0.2.\nAnswer: -17879.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9874.8544 - 9879. What is c rounded to one decimal place?\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 24*x**2 - 30*x - 4. Let s be p(-21). Let r = 1077 + s. Is 33 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1165*d + 582*d + 818 + 581*d)*(-2*d**2 + 2*d**2 + d**2).\nAnswer: -2*d**3 + 818*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(210\/(-7)) + (-14)\/(-36). Factor 2\/9*t**2 + 0 + w*t**3 + 0*t - 2\/9*t**5 - 2\/9*t**4.\nAnswer: -2*t**2*(t - 1)*(t + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 5, 102 in ascending order.\nAnswer: -13, 5, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**3 - 11*p**2 - 10*p - 39. Calculate u(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -18*c**2 + 36*c + 15. Let p(s) = -28*s**2 + 53*s + 23. Let o(k) = -8*g(k) + 5*p(k). Let f be o(6). Which is smaller: f or 2\/109?\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 303, 299, 295?\n\"Answer: -4*x + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1917*c**3 - 33*c - 2647. Let g(i) = -1919*i**3 + 30*i + 2647. Let u(f) = 11*g(f) + 10*v(f). Find the first derivative of u(d) wrt d.\nAnswer: -5817*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/144*(-120)\/(-50)*(12\/32)\/3?\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 736 + -401. Suppose -r + 148 = 4*h, -2*r + w = -2*h + 79. Calculate the greatest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -197965 times 151?\nAnswer: -29892715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121339771 divided by -313.\nAnswer: -387667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/7 - (-140102)\/14 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 37, 84, 149, 232, 333, 452?\n\"Answer: 9*x**2 + 2*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 19*t**2 + 18*t + 20. What is the least common multiple of 532 and n(-18)?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48 - 80 + 39 - h**3 + h to the form n + j*h**3 + k*h + i*h**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-4)\/(0 + 2)). Is s at least as big as 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.12277 - 0.1315. Let t = 0.0171 + f. Round t to 4 dps.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of (-1298700)\/(-63) + (-2)\/7 - (-3 + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 a factor of 762532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 23 = -2*b, 4*r - 255 = 5*b - 222 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from drdrdrdrdrddd.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (9\/2)\/(3\/26). Suppose 125 = -5*v - 4*x, 3*v + 2*x + 75 = -3*x. Let o = n + v. Does 7 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 71036 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of (-55274554)\/(-1417) + 8\/(-52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 233 and 1202513?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -1\/14, 8\/125, 3\/110?\nAnswer: 8\/125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79.8 + 80. Let q = 0.93 - 0.83. Which is the closest to 1\/7? (a) m (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -14*t - 136. Let a(d) = -d**2 - 21*d - 34. Let b be a(-19). Let n(u) = -5*u - 45. Determine b*h(o) - 11*n(o).\nAnswer: -o - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 3:52 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 155106 and -108114.\nAnswer: 46992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-44)\/(-8)*2 - 2. Let y(i) = i**2 - 5*i - 2. Is y(w) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -15. Let q = -4 + 24. Suppose 8 + q = r*s. What is the remainder when 13 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.15 - -1.03. Let j = w + -0.28. Let d = 7 + -10. Which is the third biggest value? (a) 5 (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 9:51 PM?\nAnswer: 9:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20000 (base 3) to base 2\nAnswer: 10100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 150 = -6*l. What is the common denominator of l and (-4)\/(-18) - ((-228)\/270 - 1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 d, and 1 p when three letters picked without replacement from pqpqqdqqjqjj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 111077 and 3601.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.51 - 58.76. Round z to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39, 44, 49, 54?\n\"Answer: 5*b + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**23)**41 assuming r is positive.\nAnswer: r**943","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/5260 and -38\/141.\nAnswer: 741660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*sqrt(171)*3)\/(sqrt(900) - -5*sqrt(900)*2).\nAnswer: -18*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 726 - 706. Suppose -5*i - 2*x = -110, 5*x + 2 = 3*i - 64. Calculate the smallest common multiple of i and g.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 6. Let v(q) = -1. Let u(s) = g(s) - 4*v(s). Let f be (-2)\/(-3)*(-18)\/4. Let p(a) = -a + 2. Let d be p(f). Calculate u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -10 + -6 - -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178784088*b**2*c**4*p**3 - 2*b**2*c*p**3 - 1251*b**2*c*p**2 - 5*b**2*p**2 - 2*b*c*p**3 + 2*b*c*p**2 + 2*c - 12*p**2 wrt c.\nAnswer: 2145409056*b**2*c**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (642*s**2 - 1394*s**2 + 670*s**2)*(2*s - 3*s + 0*s)*(5 + 0 - 4 + (-4 - 1 + 4)*(0 - 4 + 2)) in the form r*s**3 + x + h*s**2 + u*s and give r.\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -8742692.\nAnswer: -1\/8742692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -12. Let q = -3 + l. Suppose -23 = -5*u + v, -q*u - 5*v + 2*v = -3. Solve 5*r + 22 = -2*k, -5*r - u*k - 29 + 5 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nrjj. Give prob of sequence rjn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 + 5*o - 12. Let j = 58 - 62. Let k be g(j). Let p = k - -26. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1210)\/(-2925) + 30*(-18)\/1215.\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d + 3*p = -45, -2*d = 2*p - 12. Solve 0 = o + 4, -2*o + d = -3*r + 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -142.56, 747, 3 in ascending order.\nAnswer: -142.56, 3, 747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*w - 19, 29 = -3*w + 26. Calculate the greatest common divisor of t and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-780)\/(-112) - 12\/(-8736)*26\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v + 11. Let o be d(7). Differentiate -6 + 2*r**o + 4 - 1 - r**4 wrt r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 608 is divided by 215.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(65)*2*6)\/(sqrt(90)\/sqrt(2)).\nAnswer: -1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -131.6 - -9.6. Let p = s - -122.2. Let u be 22\/18 - 2\/9. Which is the closest to u? (a) -0.1 (b) p (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1030 + 1009 = -7*j. Let q(f) be the second derivative of -1\/6*f**j - 2*f + 1\/2*f**2 + 0. What is q(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*p - 3, b + 5*p = 6*b + 5. Let a be (b - -2) + 2\/(-1). Calculate the common denominator of -37 and 1\/(-6) - (-40)\/a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21\/63)\/(1520\/1518 - 1). Let u = 27 + -15. Let j = u + 11. What is the highest common factor of d and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/51029 + 868051\/14237091. Find the common denominator of 74\/27 and v.\nAnswer: 837","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*w - 825 = 3*w, 0 = -w - 1. Suppose -4*v + 51 + p = 0. Suppose 3*f + 1 = v. List the prime factors of f.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -264.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2061343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3592544, 7185089, 10777634?\nAnswer: 14370179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 376\/5? (a) -4 (b) 27\/5 (c) -1\/3 (d) 4\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k - t = -15, -2*k - 5*t = -3. Suppose 6*w = k*w. Suppose w*b + 165 = 5*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -100. Suppose -3 = u - 4. Let t be ((12\/9)\/u)\/10. Sort t, 5, q.\nAnswer: t, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -18\/11, -0.2, 0.1, -4 in decreasing order.\nAnswer: 0.4, 0.1, -0.2, -18\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -28. What is the second derivative of -2*h**2 + 5*h**3 + 4*h**2 - 2 + w*h - 7*h - 3*h**2 wrt h?\nAnswer: 30*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6 + 0*y**3 - y**3 + 4*y - 2*y**2 - 2*y**2. Let p be b(-6). What is the remainder when 40 is divided by (0 + -1)\/((-3)\/p)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*s + 2*o - 12, 2*s + 184*o = 182*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748250697, 1496501396, 2244752095, 2993002794, 3741253493?\nAnswer: 4489504192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27)\/((-12150)\/(-1845)))\/(2\/20).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -115031 - -240454. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiuiuiiiiiiuiuiii. Give prob of sequence ui.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 4 + (1 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1218 + 1394. Calculate the highest common factor of x and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003313842976 to seven dps.\nAnswer: 0.0033138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 8:24 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c32 (base 15) to base 11.\nAnswer: 9742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-2) + -1)\/(-3 + 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s = 10 + 26. Suppose -s*w - 7 = -343. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66\/(1716\/65)*(-8)\/(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*5*(-2)\/(-70).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g + 14. Let u be y(-11). Find the common denominator of 128\/30 + 15\/u and -14\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 7) + 2 + 2 + 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23107 divided by 3301?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1854666 and 67320.\nAnswer: 3366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, e: 4, l: 2, r: 1, g: 1, h: 2}. Give prob of picking 1 e, 2 h, and 1 g.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.8 + -31. Which is greater: -34 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h. Let z(a) = 8*a + 0*a - 12*a. Give 10*u(n) + 3*z(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c + 9. Let y be w(5). Let v(z) = 2*z + 1. Let i be v(1). Let u = y + i. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59059948 to the nearest integer?\nAnswer: 7685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -48*j**4 + 201*j**3 + 597*j**2 + 192*j - 72. Let h(s) = s**4 - 3*s**3 - s**2 - s - 1. Let y(l) = 12*h(l) + n(l). Solve y(d) = 0 for d.\nAnswer: -2, -2\/3, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4*(-7)\/70)\/((-1)\/15)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -331\/8 + 83\/2. What is the fourth biggest value in v, 0, -3, -1, 0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13419857 by 1219987.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**3 + 2*v**3 - 2*v**3)*((-3 - 2 + 4)*(12*v - v + 0*v) - 54*v - 371*v - 62*v).\nAnswer: 498*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2317550675 a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/1 + (-3 - 0). Let n(p) = -5*p + p**2 + 0*p + p + r*p - 3 + 2*p**3. Calculate n(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*v - 27*v = -18. Let u be (-1)\/(-5 + (-29)\/v). Solve -x + u*i + 3 = 3*i, -1 = i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from ivhivhhivihivhh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5318.088m to centimeters.\nAnswer: 531808.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -440.495 take away -0.37?\nAnswer: -440.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1323 (base 6) in base 4?\nAnswer: 11103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.12005 and -0.4.\nAnswer: -0.44802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -150, -116, -66, -6, 58?\n\"Answer: -p**3 + 14*p**2 - p - 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -90.3 - -94.3. Which is the fourth biggest value? (a) o (b) -24 (c) 3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -47 - 2*t**2 - 2*t + t**2 + 8*t - 2*t wrt t?\nAnswer: -2*t + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 2*w + o - 24, -5*w - 5*o = -45. Suppose -5*t + 0*k = 4*k + 16, 3*k + 12 = w*t. Solve -5*m = -t*m - 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3\/7 + 303*f**2\/7 - 87*f + 305\/7.\nAnswer: (f - 1)**2*(f + 305)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t + 2. Let a be x(5). Let b = a - -19. Calculate the smallest common multiple of 4 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*j**3 + 42 - 37 + 365 + 18*j**3.\nAnswer: -41*j**3 + 370","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 269166257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.01 and -398.\nAnswer: 3.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -173883*t + 2434370. What is u(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -2\/9, 0, -2, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 631 - 551. What is the highest common factor of f and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1889575 (base 13) to base 5\nAnswer: -4024440410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 104472*b**3*k**2 + b**3 - 12836*b**2*k - k wrt k?\nAnswer: 208944*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*r - 896. Suppose 11 = -3*u + 95. What is the greatest common divisor of u and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 15, 2*z + r - 3 + 0 = 0. What is the remainder when 49 is divided by (11\/2 + z)\/((-4)\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25*s - 63 - 42*s**2 + 8*s**2 + 63 wrt s?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 + 9*i + 68 + 7*i**2 - 126 in the form d + j*i**2 + t*i and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 4. Let g be m(-3). Suppose -g*d = 42 + 23. Let c(x) = x**3 + 12*x**2 - 17*x - 5. List the prime factors of c(d).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 767535303?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1.1, -48\/85, -5?\nAnswer: -48\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - 2*k + k + 4)*(-5*k + 2*k**2 + 5*k).\nAnswer: -6*k**3 + 8*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245 by -63.\nAnswer: -35\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.47 + 0.79. Round i to one dp.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 6*n**2 + 6. Let w be p(6). Suppose 0 = -l + 2 - 1. Solve g + w - l = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**3 + 354 - 948 + 33*l**3 + 596.\nAnswer: 27*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -165*b**3*x**2 + 18*b**2*x**2 - 70994*x**2 wrt b.\nAnswer: -495*b**2*x**2 + 36*b*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -861.9 - -886.9. Is r less than or equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbw when three letters picked without replacement from ivbcwcwcbibvbtibbww?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.23665 nanometers in kilometers?\nAnswer: 0.00000000003023665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 795.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 12*f - 18. Let s be k(4). Calculate the greatest common divisor of s and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -u + 3*i, 3*i + 3 = -6. Solve s = -u*s + 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*x + 1172 = 128. Solve 4*c = x - 28 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -138*r - 10 + 269*r - 136*r + (-4 + 5 + 1)*(-6*r + 31 - 31).\nAnswer: -17*r - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**6\/90 + a**5\/60 + a**4\/36 - a**3\/18 - 3*a - 2. Let k(y) be the first derivative of w(y). Let k(p) = 0. What is p?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345279060 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 5*s - 5 + 5. Let u be l(1). Suppose -15 = -u*v - 0. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1572798 - 0?\nAnswer: 1572798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 9*x - 76. Let n(w) = w + 33. Calculate the remainder when 54 is divided by n(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4517783 millilitres?\nAnswer: 0.0004517783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/7))**(-3)*(l*l\/(l*l\/l**(-1))*l)**(34\/9) assuming l is positive.\nAnswer: l**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 151890814 to the nearest integer?\nAnswer: 12324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**5 + 168*b**4 - 2352*b**3 = 0. Calculate b.\nAnswer: 0, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/1180, -0.4, 2\/3, -5913?\nAnswer: 1\/1180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1015 and 350?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -37.5. What is the nearest to 0.1 in l, 2, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 437957*g**3*n - 3382*g**3 - 6*g**2 + 5 with respect to n.\nAnswer: 437957*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3468586, 3468599, 3468612, 3468625?\nAnswer: 3468638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, q: 6, d: 3, u: 4}. Give prob of picking 1 q, 1 u, and 1 k.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, u: 1, b: 2, p: 4}. Give prob of picking 1 p and 1 u.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*h + 24, h = 4*d - 2*h - 44. Calculate the least common multiple of 80 and d.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s - 20. Let a(m) = -9*m**2. Give i(a(d)).\nAnswer: -27*d**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**4\/26 + 308*r**3\/39 + 103*r**2\/13 + 40*r - 21. Factor u(j).\nAnswer: -2*(j - 103)*(3*j + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(2\/1))\/(-2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(136)*-1 + 5*2*sqrt(136))\/(sqrt(288)*-2 - sqrt(288) - (sqrt(8) - (sqrt(8) - sqrt(24)\/sqrt(3)*1)))*1)**2.\nAnswer: 425\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41967 and 97638557.\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, -1\/69, -0.4, 1 in increasing order.\nAnswer: -54, -0.4, -1\/69, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 566131179?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -2*g + 23, 2095*c = 2100*c - 55 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (0 - 1)) + (9 - (26 + -11))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7590107\/396 + -76685\/4. Let x = -45\/11 - h. Which is the fourth smallest value? (a) x (b) 2 (c) 5 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnocvocpnloco. What is prob of sequence plc?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-84)\/126)\/((-5)\/((-30)\/(-28))). Let b = 0.32 + -0.12. Sort h, 0.5, b, -1 in increasing order.\nAnswer: -1, h, b, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-6) - 106\/(-52))*(-110)\/2695.\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t + 15*t - 4 + 0*t**2 - t**2 + 9. Does 22 divide z(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 1. Let a = 11 + -13. Let t be ((-1)\/a)\/((-9)\/18). Let i be u(t). Put i, -4, -1 in descending order.\nAnswer: -1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139, 86, -9, -152, -349?\nAnswer: -606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 162\/(-33) + (1\/(-4))\/(99\/36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -134, -110, -80, -50, -26?\n\"Answer: -f**3 + 9*f**2 + 4*f - 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1178, -2355, -3532, -4709, -5886?\n\"Answer: -1177*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5203112 and 239617.\nAnswer: 36421784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-14) - 2904\/(-84). Suppose -135235962 = -y*p + 149664038. What is p rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*p + 15 = -118*p. Which is the second smallest value? (a) -4 (b) -6 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 + 463.92202?\nAnswer: 772.92202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the third derivative of -d**5\/30 - 5*d**4\/12 + d**3\/2 + 10*d**2 + 10*d. Suppose y + 2 = -5*l + 9, -4*l + 20 = -y. What is n(y)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-8)*(1 - -5). Suppose -15 = -2*h - z. Is 2 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*l**2 + 48*l**2 + 408*l**2 + 95*l**2.\nAnswer: 447*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 - 2*c**2 + 53 + 129.\nAnswer: -c**2 + 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670844 divided by -167711.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 5:23 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 6) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -28612 divided by -311\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1967168 minus 8809.7?\nAnswer: -8807.5032832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5497 and 621.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w + 170 - 170. Let h(u) be the first derivative of 5*u**2 + 1. Calculate i(h(d)).\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 4. Let g be z(-6). Let l = -72 - -71. What is the second smallest value in g, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9*(4\/18)\/(-1). Let d(s) = 8*s**2 - 6*s**2 - s**t. Let x(y) = 12*y. Determine x(d(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 11. Let h(v) = 4 + 19 + 4 + 6*v + 5. Give 6*h(q) - 17*p(q).\nAnswer: 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3295823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22111 - 12?\nAnswer: -22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6.94 + -7. Let h = q - 4.94. Let m = 16.6 + -16.1. Which is the nearest to -2\/9? (a) h (b) m (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1947 + 3471. Does 127 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.077 + 0.101. Let w = -1.024 + r. Let m(c) = -c - 9. Let y be m(-6). Put w, y, 12 in increasing order.\nAnswer: y, w, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 112 = 5*v, 1217*z - 1219*z + 4 = 0 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -9*v. Give w(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1026463 or -1026466?\nAnswer: -1026466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -79770315, -79770305, -79770295, -79770285?\n\"Answer: 10*a - 79770325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(475) - (sqrt(475) - sqrt(475)*3)**2) + 0 + -1 + sqrt(190)\/sqrt(160).\nAnswer: -1897 + 21*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/762200 and 33\/7210?\nAnswer: 5335400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*m - 39*m**2 - 286*m + 41*m**2 + 64*m + 5 + 100*m as h*m + y + a*m**2 and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 3. Let d be 2 + (-3)\/t + -5. Which is greater: 6\/11 or d?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 1)\/(6\/(-4)). Suppose -5*i - 4 = -3*z - 17, z = -m*i + 3. Is -2 + (i - 0) - -55 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2399291411?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25.9 + -27. Let c = -1.4 - h. Sort -2\/9, c, 2\/13 in decreasing order.\nAnswer: 2\/13, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(1701) + sqrt(21) + sqrt(2100)*-3)\/(sqrt(192) + -2*sqrt(192) - ((sqrt(3) - sqrt(432)\/sqrt(4)) + sqrt(3) - sqrt(3)))*4)**2.\nAnswer: 473200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 35, -77*c + 74*c - 25 = w. What is the biggest value in -0.5, 1, 121, 5, c?\nAnswer: 121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 58 = 4*h - 49, -3*h + 93 = 2*p. Let c = h + 303. List the prime factors of c.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1189, -2304, -3433, -4582, -5757, -6964, -8209, -9498?\n\"Answer: -p**3 - p**2 - 1105*p - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 38931219.\nAnswer: 155724876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(-4)*(-30)\/15 + 280?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1702 and 962?\nAnswer: 22126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/50067 and -29\/27.\nAnswer: 150201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -95 + 101. Suppose -6*v = c*v - 1476. Suppose -55 - v = -b. List the prime factors of b.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36137, -36293, -36449, -36605?\nAnswer: -36761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-244)*(2 - 14\/21). Which is smaller: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 30250, 60495, 90740?\n\"Answer: 30245*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 0)*6*-1)**2 - ((4*sqrt(2) + -4)*4)**2.\nAnswer: -696 + 512*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 8*k**2. Let v(z) = 11184*z**2. Give v(l(q)).\nAnswer: 715776*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1102227 or -1102228?\nAnswer: -1102228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 220916.7 microseconds?\nAnswer: 0.003681945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**3\/6 - i. Let a be b(1). Suppose 0*v = v - s - 3, -4*v + 3*s = -13. What is the closest to -0.3 in 4\/3, a, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 11 + 1 = 0. Solve 4 = 2*b, -o*s = b + 3*b - 20 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64123 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -799*s - 96502. Calculate c(-121).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6118 (base 10) in base 6?\nAnswer: 44154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 0, -5337, 2, -0.3 in ascending order.\nAnswer: -5337, -0.3, 0, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1318 = 1140*u - 962. Factor -38\/3*p**u + 20\/3*p**3 + 0 - 2\/9*p**4 + 56\/9*p.\nAnswer: -2*p*(p - 28)*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.62913375 - 66?\nAnswer: -73.62913375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (102\/(-340))\/((-9)\/60). Factor -2\/3*d**c + 1\/2 + 11\/6*d.\nAnswer: -(d - 3)*(4*d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 231, 473, 701, 909, 1091?\n\"Answer: -a**3 - a**2 + 252*a - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2) - (-9 + 7). Suppose 8*r = -x + 36. Sort 3, 2, r in descending order.\nAnswer: r, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 6.71. Let f = -1515 + 1515.28965. Let x = t + f. What is x rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/2 - (1 - -1). Let b = d + -4. Suppose 3*h = -2 + 8. Solve b = -n - h*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19359*a**5 - 349*a + 880 wrt a.\nAnswer: 387180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-56)\/60 - (-21)\/35 - (-156)\/144. What is the third biggest value in 4\/19, u, 18\/13?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -191305*t**5 + 294*t + 566?\nAnswer: -3826100*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39294398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1542648 and 9552.\nAnswer: 3085296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (13 - 5) - (0 + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/14)\/((-3)\/12*-34)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t - 16*t - 50*t - t**2 + 16*t + 2 + 9.\nAnswer: -t**2 - 39*t + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36.44 - 36.437631. Round t to 4 dps.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*o**2 + 680*o**2 - 237*o**2 - 206*o**2.\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 4*j + 10 = 0, -5*b = 5*j - 9 - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/2 - (3 - 3). Suppose 0 = h*w - 43 - 29. Suppose 4*q - 3*q = w. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10496579 * 3.\nAnswer: 31489737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 91716.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 47332489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 4*o - 104. Let w be v(26). Let a(z) be the third derivative of 2*z**2 + w*z + 5\/6*z**3 + 1\/120*z**6 + 0 + 1\/12*z**5 + 1\/8*z**4. Determine a(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -19*b**3 + 5*b**2 + 26*b. Let o(p) = 9*p**3 - 2*p**2 - 13*p. Let a = -9 - -14. Let c(d) = a*o(d) + 2*n(d). Find the second derivative of c(y) wrt y.\nAnswer: 42*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -573 + 599 + -49 + -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1684760286)\/24 - (2 - 0). Let s = g - -639366973889\/9108. Let f = 422\/9 - s. Which is greater: f or -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o**2. Suppose -43*d + 12 = -40*d. Let k(s) = 6*s - 2*s + 8*s**2 - d*s. Calculate f(k(y)).\nAnswer: 384*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(567)*-3)*6.\nAnswer: -162*sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Sort x, -1, 2 in descending order.\nAnswer: 2, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 60, -10, -345?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89170 - 0.4?\nAnswer: 89169.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(13))*-4 + -2.\nAnswer: -4*sqrt(13) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2. Let s(m) = 3*m + 20. Let r be s(-8). Let u be 3\/(((-30)\/r)\/5). Let n(z) = 8*z**2 - 14*z**u + 8*z**2. What is n(t(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 7 = 3. Is 4580\/36 - q\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1126458 and 3546?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)*o)**49*o**4\/(o*o\/o**(-2\/49)*o*o))**(-3\/14) assuming o is positive.\nAnswer: o**(3\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/4*384\/(-72). Suppose 10 - k = v - 4*f, 8 = 4*v - 2*f. What is the units digit of 8556\/45 + v\/(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 9701?\nAnswer: 756678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17140987 to the power of 1\/2, to the nearest integer?\nAnswer: 4140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**8\/6720 - g**7\/360 + g**6\/180 + 7*g**5\/120 + 3*g**4\/4 + 10*g. Let z(v) be the third derivative of j(v). What is z(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*m**3*q**2 - 144*m**3*q - 1209*q**2 wrt m?\nAnswer: -15*m**2*q**2 - 432*m**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-2))\/((-115)\/(-10)). Which is the smallest value? (a) p (b) -0.3 (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374*c**3 - 163*c**3 - 2*c**2 + 1187*c**3 - c**2 + c**2.\nAnswer: 1398*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*d + 6 = 0, -2*b - 3*d + 6*d + 4 = 0. Solve -4*m = -2*v + 22, 0*m + b*m + 12 = 2*v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(2*v - v + 0*v)*(2*v - 2*v + 4*v).\nAnswer: -8*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 13 + 5 = 0. Let f(k) be the first derivative of -3 + 0*k**2 + 8\/3*k**3 + 0*k - u*k**4. Find the third derivative of f(q) wrt q.\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.885 - 532.115. Let m = d - -520.08. Let r = 0.08 - m. Do 2\/11 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2358 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3537000 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - 0.1814588681011?\nAnswer: -0.1314588681011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 - -10. Let r = 351059 + -351056. Let j(w) = -w**2 - 2*w**2 + 4*w**2. Let x(f) = 18*f**2. Determine r*x(b) + u*j(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -100*n**2\/7 - 28180*n\/7 - 1608 = 0. Calculate n.\nAnswer: -1407\/5, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 6, 2*w = 4*b - 171 + 187 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + -4 + 3 + 135.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3521 and 1009?\nAnswer: -3382.2689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -30948 and 1.953.\nAnswer: -60441.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 15657 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 6*g**2 + g - 3. Let r be v(6). Suppose -4*s - 73 = -t, 5 = r*s - 1. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*((-2 + (-2*(sqrt(72) + -1 + sqrt(72)) - sqrt(72)))**2*6 + 2) + 2).\nAnswer: 129630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**5\/2 + 299*c**4\/2 - 365*c**3\/2 + 61*c**2\/2 = 0.\nAnswer: -61, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 2 = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 569568 divided by -544\nAnswer: -1047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10002.9 and 53356.6.\nAnswer: 63359.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000035288415 to 6 dps.\nAnswer: -0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 255430*r. Let s(n) = 5*n. Give p(s(k)).\nAnswer: 1277150*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 648 and 12.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 275200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffodjfofpoorjfj. Give prob of picking 1 f and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0.2, 37, 3 in decreasing order.\nAnswer: 37, 3, 3\/8, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*o**3*z + 6*f*o**3 + 2*f*z**2 - 20*f + 135*o**3 + 112*o**2 - 1086901*o*z**2 + 2*o wrt z.\nAnswer: -f*o**3 + 4*f*z - 2173802*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 4*h - 204 = 55*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -2 (b) 4 (c) -1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700) + -5 - sqrt(1700)) + -1 - (3 + (-1 + sqrt(17))*-5).\nAnswer: -14 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -j + 2. Suppose j*w - 5*w = 10. Let c be -13*w\/(-15)*-3. Calculate the greatest common factor of c and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7.0623945 milliseconds?\nAnswer: 0.00000196177625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796894 is divided by 12451.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 7:36 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5880 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6699 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -66.2 - -61. Let x = 6 + u. Is -2\/7 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 9 - 6 = 0, -5*s - 4*j + 5 = 0. Is 8\/(-40) - (-1296)\/s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3006 - -3448. What is the lowest common multiple of d and 3?\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 7:50 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t**3 - t**2 + 1. Let w(m) = m**3 + 10*m**2 + m - 73. Let q be w(-9). Determine b(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -241*j + 69388941 = 6365272. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -16*h**2 + 26*h**3 + 6 - 16*h - 2 + 2. Let o = 4 - 1. Suppose -44 - 36 = 5*b. Let s(v) = 5*v**3 - 3*v**2 - 3*v + 1. Determine b*s(m) + o*w(m).\nAnswer: -2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2 + 5*q + 16 - 4 - 3. Let a(c) = 3*c + 10. Let f(z) = 3*a(z) - 2*v(z). Let i(d) = d**3 - 7*d**2 + 6*d. Let w be i(6). What is f(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*k + 119*k - 16023 = 10599 + 14112 for k.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y, 1 m, and 1 t when four letters picked without replacement from yjjyjmyojjotjjotojo.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -19*m - 195. List the prime factors of m.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -123 - -122. Let s be 55 + 0*(y + (-1)\/(-2)). Suppose 2*u - 203 + s = 0. List the prime factors of u.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 955, 1908, 2861, 3814, 4767, 5720?\n\"Answer: 953*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11279946.\nAnswer: 2, 3, 173, 10867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1658?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 + 25*h - 66. Let j be t(22). What are the prime factors of (-132 + 39)\/((-2)\/10 + j)?\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 32) + 31 - (43 + -1)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 10:46 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -31 + (9 - -3) + (-19 - -12)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 117951*-6394\nAnswer: -754178694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, o: 5, t: 7, v: 3}. What is prob of picking 1 v, 2 o, and 1 r?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - -0.1. Let p = q - -3.93. What is the smallest value in 5\/3, p, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 8*a - 12. Calculate n(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.9 and 13.4.\nAnswer: -38.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -337. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -40*f - 22. Let w(l) = 87*l + 44. What is -11*d(r) - 5*w(r)?\nAnswer: 5*r + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 195 and 845.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 128 = 4*k, 2*q + 2*k - 76 = -0*q. Suppose 4*w + 4*x = 24, q = 2*w - 0*w - 5*x. Solve 0 = -2*r + 4*r + w for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 122*y - 2. What is the hundreds digit of v(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/8 of a hour?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 62 (b) -0.1 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -138*m - 33. Let a be j(-6). Let w be (-3 + (-8)\/(-3))\/((-5)\/a). Let o = -50 + w. Solve -2*f = o - 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -413673 + 7084381\nAnswer: 6670708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -t - 4*z - 3, 31 = 5*t + z. Suppose -2*f + 3 = -t. Suppose -3*n + o + 7 = 0, -4*n = -3*o - 3 - 8. Solve -h - f*k = 3*h - 1, 4*h = -n*k + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*f + 0*f + 0*f)*(-4*f + f + 0*f) + 4*f**2 - f**2 - 4*f**2)*(3*f + 2*f + 5*f)*(-22*f - 6*f - 13*f).\nAnswer: 2870*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 5448800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t + t + 6 - 3 + 1. Give h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -139, -3, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 109 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2444408?\nAnswer: 2, 305551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64330474 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**4 + 5*x**2 - 4. Let p(y) = 0*y**2 + 4*y**2 - 2*y**2 + 2 - 4. Let r(g) = 5*p(g) - 2*w(g). Differentiate r(d) wrt d.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 2*o - 10, 6*o - 8 = 4*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4822804676 to the power of 1\/2, to the nearest integer?\nAnswer: 69446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3039, 3033, 3025, 3015, 3003?\nAnswer: 2989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a second in milliseconds?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 7 = 2*a + 45, z - 13 = 5*a. Let q(b) = 11*b + 22. Let y be q(z). Suppose -g + y = -2*h, 4*h = 5*g - 0*h - 795. Is g a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 182 = -622. What is the common denominator of 39 and (1 - -9)*(3 + w\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 0*k + 7\/6*k**3 + 7\/60*k**5 + 0 + 1\/120*k**6 - 4*k**2 + 3\/8*k**4. Give d(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*sqrt(832))**2*-2.\nAnswer: -26656 + 512*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11173, -44758, -100723, -179062, -279769, -402838, -548263, -716038?\nAnswer: -906157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 446*n + 4. Let i(r) = 94*r. What is i(h(v))?\nAnswer: 188*v**2 - 41924*v + 376","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10*s**4 + 9*s**2 + 8 wrt s?\nAnswer: 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, -2720, 4, 3 in ascending order.\nAnswer: -2720, -1, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -284777\/12118 - -2\/6059. Let n be 4\/6 + (-38)\/(-18). Let s = n + -199\/198. What is the common denominator of s and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - 252233?\nAnswer: -25222a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l + 317 = 4*l + 1793. What is the highest common factor of 8 and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 2:55 PM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u - 19 = 23*u. Let z(k) = -k**2 - 18*k + 24. Let o be z(u). Solve 3*f - 3*l + 19 = 2*l, o = -5*f + 3*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185250?\nAnswer: 2, 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/40 and ((-26)\/(-8))\/((-42)\/(-12)).\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/6)\/((8624\/(-96))\/(-77)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 2*w - 2*w = 4, -w = p - 7. Suppose 0 = 3*m - p*m. What is j in 2*j**3 + m*j**3 - 3*j**3 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*g**2*r - 106*g**2 - r**2 with respect to r.\nAnswer: -107*g**2 - 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**2 - 2*q - 5. Let s(x) = 3*x**2 + x + 3. Calculate 2*l(w) + 3*s(w).\nAnswer: w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-28)\/(-6) - -3*4\/(-18). Suppose a - 5*m = 195, -h*a = -m + 2*m - 885. What are the prime factors of a?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 247401 and 85806.\nAnswer: 112320054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -615008056 divided by -47308312?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -653, -7427, -25809, -61601, -120605, -208623?\nAnswer: -331457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 18 = -3*i, -5*i = -3*n - 14 - 8. Let t(h) = h**2 - 14*h - h**2 + 3*h**i + 3*h**2. Let r(z) = -2*z**2 + 5*z. Determine -8*r(u) - 3*t(u).\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (720\/(-84))\/((-8)\/476) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 16.\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 99316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**2 + 56*a - 60.\nAnswer: 4*(a - 1)*(a + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fge when three letters picked without replacement from zgoezezbefo?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 2*a + 3. Let c(x) = 4*x**2 - 2*x + 1. Let p be c(1). Let y be p\/9*3 - -2. Determine g(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268565069 to the power of 1\/4, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 0*j - 3*j**2 - 2*j - 4 - 12 - 1 + 8*j. Let x(c) = 5*c**2 - 13*c + 33. Let y(z) = 7*d(z) + 4*x(z). Give y(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(14\/4)\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14015092?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/40)\/(15\/(-375)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 + -1. Let y be (3\/((-12)\/1138))\/((-14)\/k). What is y rounded to the nearest 10?\nAnswer: -570","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3001 (base 12) to base 5.\nAnswer: 131220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s**4 - 7*s**4 - 19*s**4 + (-4*s**3 + 2*s**3 + 0*s**3)*(2 - 2 - s) + 17*s**4 + 17*s**4 - 6*s**4.\nAnswer: 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 4) to base 5\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (27 - 37)*36\/10. Let y be ((-12)\/1)\/(117\/l - 4). Solve 2*x + 8 = 0, 2*u - y = 5*x - 2*x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39922276571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2168075304?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5*1)\/(-59 + 64). Let n(p) = 5 + 1 - 5. Let w(f) = -5*f + 2*f + 4 + 2*f - 1. Calculate z*w(o) - 4*n(o).\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 4*a**9\/63 - 19*a**8\/336 - a**7\/105 + 4577*a**5\/30 - 10406*a**2. What is the third derivative of g(v) wrt v?\nAnswer: 3840*v**3 - 1140*v**2 - 48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8090893ml to litres.\nAnswer: 0.0008090893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 3*m + 1 + 5*m + 0*m + 0*m. Let n(z) be the second derivative of z**4\/4 - z - 105. What is g(n(o))?\nAnswer: 24*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -454a753 + -4?\nAnswer: -454a757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4959, -5065, -5251, -5523, -5887, -6349, -6915, -7591?\n\"Answer: -f**3 - 34*f**2 + 3*f - 4927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -35*q**2 - 728*q + 59. Calculate p(-21).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -8 - 7 + 3*l + 13. Let k be x(2). Suppose 20 - 148 = -k*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 759 divide 10355807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14191308115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2*p + p)*(13963 - 7611 - 7201 + 5 - 4 - 2 + (-1 + 1 + 1)*(-1 + 0 + 0)).\nAnswer: -851*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**5\/20 - r**4\/12 + r**3\/6 - 4632*r. Let j(k) = -8*k**3 - 5*k**2 + 6*k - 2. Give -j(m) + 6*x(m).\nAnswer: 2*m**3 - m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-364))\/((135\/144)\/(6\/8)).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, k: 2, h: 1, e: 1}. Give prob of picking 2 k and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 38068 = h, -37501 = -4*h - 2*d + 114699. List the prime factors of h.\nAnswer: 2, 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 2 + 1)*(2844*b - 55788 + 55788) to n + f*b and give f.\nAnswer: 25596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -7*g. Let p(j) = -323*j**2. What is z(p(k))?\nAnswer: 2261*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (290\/20)\/((-663)\/(-1734)) - 2\/(-26)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115536.\nAnswer: 2, 3, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -i + 12, 6*w = 4*w + 3*i + 28. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 6:33 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*r - d + 5, 2*d - 1 = 3*r. Does 24 divide (99 - r)*138\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-81)\/(-45))\/(((-6)\/(90\/(-15)))\/(1\/(-6))).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 143*v + 1060. What is g(-7)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304 is divided by 142?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/205590 and -59\/264.\nAnswer: 822360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 4104 (c) 2\/19 (d) -1 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/5 + 1157686*l\/5 - 2315364\/5 = 0. What is l?\nAnswer: 2, 578841","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**5 - o**3 - o**2. Let w(i) = 7*i**5 - 6*i**3 - 22*i**2. Let j(a) = 6*p(a) - w(a). What is the third derivative of j(u) wrt u?\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*y = 679 + 553. Sort y, -2, -4 in decreasing order.\nAnswer: y, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 993314 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 3*m + 7. Suppose 5*y - 9 = -3*t + 16, -y - 23 = -5*t. What is the remainder when b(t) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(68))\/sqrt(4).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-25543)\/(-369) - 4\/18)\/(-1). Suppose -4*l - 34 = 10. Let n = l - t. Calculate the remainder when n is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(637) + 1*(sqrt(637) + -1) - sqrt(637)) + sqrt(637) - sqrt(637))*-3 + -4)**2 - (-1*(5 + 5 + sqrt(637)*-1 + sqrt(637)))**2)*-6.\nAnswer: -33804 - 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1087*o**3 - 698*o**3 - 1074*o**3 + 2880*o**3.\nAnswer: 21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21558 + 21557. Which is greater: 1\/142 or g?\nAnswer: 1\/142","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 133569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -10, 14, 50?\n\"Answer: 6*j**2 - 6*j - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101718.\nAnswer: 2, 3, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzigiggkggzzigzzhzg. Give prob of picking 2 i and 1 h.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 13*v**2 + 12*v - 23. Let o be g(-14). Suppose -6*t - k = -9*t + 91, o*t - 154 = 4*k. Calculate the highest common factor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -2*q + 41 - 49, -5*q = 3*g + 22. Let n(i) = i + 1. Let t(v) = v**2 + 3*v - 9. What is g*t(a) - 3*n(a)?\nAnswer: a**2 - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 19 = -5*x, 5*x + 0 + 35 = -5*p for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/8)\/(f*f**(-2\/21)*f*f)*(f*((f**(1\/9)\/f)\/f*f)\/f*f)\/(f\/(f**(2\/5)\/f)))\/((f*f**(-1\/3))**(-21)\/(f**6*f**5)) assuming f is positive.\nAnswer: f**(52243\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * 775462\nAnswer: -15509.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1123518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n - 5*n**2 + 8*n - 225191 - 297*n**2 + 225191 + (2 - 6 + 12)*(2*n**2 + n**2 - 2*n**2) to t + f*n**2 + l*n and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.145 + -0.102. Round m to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 3*j - 540 = 0. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/2 + 17673*b**3\/2 + 159003*b**2\/2 + 476955*b\/2 + 238464.\nAnswer: (b + 3)**3*(b + 17664)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -151.\nAnswer: 4\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 91.19336 micrograms?\nAnswer: 0.00009119336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(48))**2 + (sqrt(75)*-1 - sqrt(75) - sqrt(75)).\nAnswer: -7*sqrt(3) + 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 * 1.25623\nAnswer: 12.5623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1316\/4 - (6 + -7). What is the third derivative of -167*k**2 + v*k**2 - 85*k**3 - 169*k**2 wrt k?\nAnswer: -510","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 478032 and 144?\nAnswer: 1434096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -56*m**3 - m**2 + 3*m + 3. Let q be j(-1). Suppose 3*h - q = 65. Suppose 6*v - 10*v + h = 0. What is the highest common factor of 8 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327819 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1195861 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**4\/8 - 4*b**3 + 48*b**2 - 256*b - 3. Find k, given that v(k) = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -436 = -4*y + 220. Suppose 2*b = -5*q - y, -2*b + 2*q = 6*q + 160. Let d = -44 - b. What is the remainder when d is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 924.\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 25 - (7 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 - 4\/(0 + -2). Suppose 4 + b = 5*y, 4*w + 2*y - 98 = 0. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1281 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2 and 34\/(-6) + (-1)\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 683620032 to the power of 1\/7, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w = 90 - 118 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2120*d - 874 - 2083*d + 4202*d.\nAnswer: -d - 874","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1 + 3, -2*n - v + 10 = 0. Suppose 3*s + 24 = 3*q, 3*s = 2*q - 2*s - 31. Solve -q*l = -5*l - n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 13 = c + 15, 0 = 4*j - 2*c + 14. Let p(i) = -i**3 - 6*i**2 - 2*i - 4. What is p(j)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/((j*j*j*(j*(j**(-20)*j)\/j)\/j)\/j))\/j*j)\/(j**22\/j))**(8\/11))**40)**(-3) assuming j is positive.\nAnswer: j**(1920\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3590941 to the power of 1\/2, to the nearest integer?\nAnswer: 1895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 5\/4 of a millennium?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50511 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -35, -164, -389, -716, -1151, -1700?\n\"Answer: -f**3 - 42*f**2 + 4*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(41\/(451\/(-66)))?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/18120 and -89\/4832.\nAnswer: 72480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/5888 and -155\/414.\nAnswer: 52992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 6*h**2 + 77*h + 241. Give g(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-1\/2)*c*(c*c**(-4\/9))\/c)\/(c**(-7)*c**(-9)) assuming c is positive.\nAnswer: c**(325\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 299*a - 2972*a = -2673 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.8 (b) 1\/5 (c) -43 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 256\/80 + (1\/5)\/(-1). Suppose -5*p + i*l = -3849994, 0*p - 5*p - 4*l + 3850008 = 0. What is p rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83843 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1 + 3\/2). Let h(b) = l*b - 14 + 14. Let m(x) = 5*x. Give m(h(r)).\nAnswer: 10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (2 - ((1 - -5) + -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/((-8)\/(-48)*18). Solve -5*p = 5*g, v*g + p = 3*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c89 (base 16) to base 12.\nAnswer: -38635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-11)*3)\/(3\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(117) + sqrt(13) + -2 + 5 + sqrt(13) + 4 + -4.\nAnswer: 2 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -11. Calculate the remainder when 7 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10281*i**2 - 20512*i**2 + 10214*i**2.\nAnswer: -17*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34253?\nAnswer: 34253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26060 = 2*m + 18*m. Suppose 5*b = 4*k - m, -3*b - 848 = -3*k + 133. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45\/4*f**2 - 663\/4*f - 1\/4*f**3 + 3211\/4.\nAnswer: -(f - 19)*(f - 13)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-128)\/(-20) - -4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:05 AM and 8:00 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -234 times 4.2?\nAnswer: -982.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**9\/(k*k**12*k)*(k**(-2\/3))**(9\/7) assuming k is positive.\nAnswer: k**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 72*y**2. Let x(f) = 6*f**2 + f. What is x(o(w))?\nAnswer: 31104*w**4 + 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((-5)\/2))\/(21*70\/(-69825))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 times 4?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*u**5 - 9*u**5 - u**5 + (-2*u + 2*u + 3*u**3)*(-u**2 + u**2 - u**2) - u**5 - u**5 + 0*u**5 + (6*u**3 + 6*u**3 - 6*u**3)*(-2*u**2 - 3*u**2 + 3*u**2).\nAnswer: -70*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + j + 36. Let c be t(0). Let z be 2\/(-4) - c\/(-8). Solve z*i = -4*q + 6 + 6, q + 1 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 18422359 = 198*r + 44*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f**3 + 21*f**2 + 6*f - 9. List the prime factors of u(7).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - -0.3. Let a = -0.8 + w. Let b = -0.2642 - -0.7642. What is the closest to 1 in b, 1\/4, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.5 - -85.5. Let i = 83.6 - k. Let r = -0.4 - -1.4. What is the closest to 1 in r, 1\/5, i?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seventy-one quarters of a kilometer?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005502715 to 6 decimal places.\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -398 + 522. Suppose 0 = 133*a - y*a - 27. Solve -a*u = -3 - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*3*sqrt(7) - sqrt(7)))**2.\nAnswer: 56*sqrt(7) + 359","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -950, -2142, -3812?\nAnswer: -5960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -298 + 2075*l**2 - 1505*l**2 + 298 to a*l**2 + q + o*l and give a.\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -33517408642798 + -0.5?\nAnswer: -33517408642798.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 6:58 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -54?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - i - i + 4*i - 5*i + 2*i + (0 + 4 - 5)*(5*i - 4*i + i) + 0*i - 3*i + i)*(-3*i**3 + 2*i**3 + 0*i**3).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**3\/7 - 5710*y**2\/7 - 363800*y\/7 - 3069000\/7 = 0. Calculate y.\nAnswer: -2790, -55, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-9)*(-45)\/(-75).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6350 and 943610.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 522113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23529719 by -2.\nAnswer: -23529719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-12)*9*(-3 - -2)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 107\/4 + -985\/44. Calculate the common denominator of 41\/11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140530*v**5 + 2*v**4 - 221300*v + 18 wrt v.\nAnswer: -2810600*v**3 + 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*o + 299 = 34, 4*c - 226 = -3*o. List the prime factors of c.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - -3) + (1 - 1). Let h be (48\/(-10))\/(6\/(-40)). Calculate the greatest common divisor of h and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -9 - -2) + 2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nj when two letters picked without replacement from {n: 1, j: 1, y: 2, m: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s**2 + 52*s + 1722. Give j(16).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11100001001110001 (base 2) in base 15?\nAnswer: 24278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzsesbx. Give prob of picking 1 e, 1 x, and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3633879 (base 12) in base 2?\nAnswer: -101000001000010000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507*i + 1024*i = 506*i - 330 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 94 + -22 - 36 - 73\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12 - b0?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76.63 - 77. Let f = -0.13 + g. What is the smallest value in -4, -2\/3, f?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 18*a**2 - 42*a + 46. Let i be v(20). What is the least common multiple of 530\/i + 0 - (-20)\/(-60) and 154?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590420932 is divided by 3942?\nAnswer: 3940","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -5\/6*f**6 - 1125\/2*f**2 - 405*f - 34 - 75\/2*f**4 + 15*f**5 - 950\/3*f**3. Let j(x) = 0. Calculate x.\nAnswer: -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*c**3*z + 3080*c**2 - c*z**2 - c*z + 62773*z**2 - z + 3 wrt c?\nAnswer: 33*c**2*z + 6160*c - z**2 - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -15*t**2 - 3*t + 12. Calculate u(5).\nAnswer: -378","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 24, 19, 12, 3, -8, -21, -36?\n\"Answer: -f**2 - 2*f + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11151 is divided by 1860.\nAnswer: 1851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14185934201 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i + 8. Let f be m(-9). Let z = -844 + 839. What is the smallest value in f, z, -0.3, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of -s**6\/2 - 474*s**5\/5 - 939*s**4\/4 - 156*s**3 + 2527. Suppose i(g) = 0. Calculate g.\nAnswer: -156, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-6))\/((-120)\/54 + 2). What is the third derivative of 3*j**2 - 1478*j**5 + 1478*j**5 + 30*j**m wrt j?\nAnswer: 3600*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -62\/3 and 92\/7425.\nAnswer: 7425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.064885 decades to years.\nAnswer: 50.64885","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42754354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 2)*(-3*f + f + 0*f)*(-4 + 1 + 0).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 119 and 183365.\nAnswer: 3117205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 41 + -61?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07431 to 3 dps.\nAnswer: 0.074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -6 (b) 0 (c) -5 (d) -14 (e) 1.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 8 = -a + 116, 5*c + 2*a - 106 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 450691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 438\/73*1\/3. Suppose -o*s + 2056 - 24 = 0. List the prime factors of s.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*p - 3*p - 7*p - 4*p - p**2.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2 + (1 + sqrt(720) - sqrt(720)) + (6*sqrt(720)*2)**2 - (4*-2*sqrt(720) + sqrt(720) + (sqrt(720) - -5*(sqrt(720) + 2) - sqrt(720))**2)).\nAnswer: -1116*sqrt(5) + 85583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 84056547 to the power of 1\/3, to the nearest integer?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1059870400 to the power of 1\/3, to the nearest integer?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(192)*1 - (-2 + sqrt(192) + -1).\nAnswer: -48*sqrt(3) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1446151 - 1?\nAnswer: -1446152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/8 (b) 5 (c) -4\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 2*c + 2. Let o(x) = -16*x**2 + 7*x - 7. Let z(b) = -35*b**2 + 14*b - 14. Let l(r) = 13*o(r) - 6*z(r). Calculate 7*h(u) + 2*l(u).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 2*s**2 + 2. Let m be o(3). Suppose 5*h - 3 = 12. Suppose -h*r - m = -71. What is the highest common divisor of r and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 v when four letters picked without replacement from {x: 6, g: 4, v: 2}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -143, -625, -1439, -2585, -4063, -5873?\nAnswer: -8015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 10) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -400 (base 7) to base 15\nAnswer: -d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, z: 5, i: 4}. Give prob of sequence zz.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 + 98*u - 2164. What is f(33)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -113, -353, -759, -1331?\nAnswer: -2069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:44 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g**3 + 990*g**2 + 1995*g + 1000 = 0. Calculate g.\nAnswer: -1, 200","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 13679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5995\/4 - 1500. What is the fourth smallest value in -0.1, -22, g, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9285 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63684?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 + -443?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 41 + (-442 - -442).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/3 + 2 + (-200007)\/(-27) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/32 and 19\/7755960.\nAnswer: 31023840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 34.62886836 to 0 dps.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 483 - 478. Suppose -l*j = 23 - 53. Calculate the smallest common multiple of j and 261.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164*v - 746 = -165*v - 3*x, -v + 802 = -4*x. Calculate the remainder when v is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j + 41. Let t = 49 + -34. Calculate the remainder when z(t) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l - 34. Let i(v) = -30*v - 208. Let k(r) = -2*i(r) + 13*j(r). Calculate k(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28804117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert b86 (base 13) to base 5.\nAnswer: 30334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.184 - -3.084. Let q = -110 - -109.6. Which is the third smallest value? (a) n (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.9 take away 2634.37167?\nAnswer: -2820.27167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 14482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 77431 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38275*y - 26607 wrt y?\nAnswer: -38275","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11102488.\nAnswer: 2, 61, 22751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.7828 to one decimal place.\nAnswer: -117.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 553 - 548. Suppose -p*t = -3*m - 4036, 0 = -t - 9*m + 5*m + 821. What are the prime factors of t?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -3*p**5 - 31452*p**4 - 83949951*p**3 - 7873555014*p**2 + 142159745952*p - 590259146112 = 0.\nAnswer: -5193, -114, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -31\/3*y**2 + 230\/3*y - 200\/3 + 1\/3*y**3 = 0.\nAnswer: 1, 10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26 + -32 - 34\/(-5))*5. Solve -2*z - y*k + 2 = 0, -z + 5*k + 0 - 20 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, u: 5}. What is prob of sequence uss?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-1)\/(-6))\/(-1)*2\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 3*s**3 + 2 - 4106064*s + 4106064*s.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (12\/1 - 15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 96?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -73, 0.5, -0.0246, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 = -8. Let g(y) = -y**2 - 1 + l*y + 3*y - 3. Let j be 1\/(0 - (-1)\/5). Calculate g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024853 to 6 decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k. Let a(z) be the first derivative of 14*z**3\/3 + 2. Determine a(v(i)).\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2)\/4)\/((-4)\/32) + 485?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*l - 271*l = -13328. Calculate the greatest common divisor of l and 749.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c*c*c**9)\/c*c**(1\/29)*c)**(-12))**39 assuming c is positive.\nAnswer: c**(-163332\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7774 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: Simplify (((j*j**2)\/(j\/((j\/(j**(-2\/3)*j)*j*j)\/j)))\/(j\/(j\/(j\/(j\/(j\/j**(-4)))))*j**(-2\/3)))\/(j\/j**5*j*j**(-1))**(1\/3) assuming j is positive.\nAnswer: j**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 4*n + 3*b - 18, 0 = -4*n - 5*b + 14. Suppose 3*v - 5 = -2*v. Let m = v + n. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 345848670 to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-6) + 2\/4. Suppose -2*w = -11 + f. Solve 8 = 4*h - 4*c, 5*h - 3*c + c + w = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -85, -280, -657, -1276?\nAnswer: -2197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2150)\/175 + (-4)\/(-14). Let p be 3346\/4018 - t\/(-14). Which is the smallest value? (a) p (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*t = 59*t - 712691. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*z**2 - 4582*z + 1721*z - 12666*z - 2679*z - 225*z**2.\nAnswer: 2*z**2 - 18206*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*s**2\/5 - 2273728*s\/5 - 1299296.\nAnswer: 2*(s - 162412)*(7*s + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3\/2 - 258642813*j**2\/2 - 2787337631862336*j + 2787337761183744.\nAnswer: -3*(j - 1)*(j + 43107136)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -51 in increasing order.\nAnswer: -51, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -7557\/48112 > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**3 + 603*j**2 + 121203*j + 8120601 = 0.\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8504 and 523901676.\nAnswer: 4252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9 < -42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 2205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004673 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.71 times -15\nAnswer: 10.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 3*b - 2. Suppose 2*h = z - 3*h + 22, -2*h = 2*z - 4. Let t be v(z). Let l be 338\/8 + 2\/t. Calculate the greatest common divisor of l and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 408.6961 decades to millennia.\nAnswer: 4.086961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -4*b - 459. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2984.069887 to the nearest integer.\nAnswer: -2984","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b541 + 2?\nAnswer: -1b53f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/1*(-7)\/(-21).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1652780 and -41\/52210.\nAnswer: 375181060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/84 and 19\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 62032 - 39075. What are the prime factors of h?\nAnswer: 11, 2087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 3)*-3 - -1. Let w be -2*p\/8 - -7. Suppose f = 20 - w. Is f a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1383, 5543, 12489, 22233, 34787, 50163?\n\"Answer: 2*g**3 + 1381*g**2 + 3*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*v + 62*v - 89 - 19877.\nAnswer: 21*v - 19966","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294469504.\nAnswer: 2, 7, 43, 7643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2395a6 (base 11) to base 14.\nAnswer: -9c03b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aalaaaala. What is prob of sequence aaa?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10890 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 221, 331, 439?\nAnswer: 545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1736*f**2*i**2 + 36673*f**2 + 11*f*i**2 + 7*f*i + 267667*f - 2*i**2 - 2*i + 1 wrt f?\nAnswer: 3472*i**2 + 73346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 167*n + 1706. Give r(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -6 + 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 594203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -174.1 - -174.29055. Let r = 14.01 - 14.2. Let y = x + r. Round y to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120832 and 1408?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2002 and 1232?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -80488 times -0.03?\nAnswer: 2414.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 9*h = 2*x + 22, -2*x - 5*h = -18 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 7:22 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -40\/3 + 13. Let k be ((-909)\/6)\/((-56)\/(-48)). Let m = 130 + k. What is the biggest value in m, s, 3, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -75*w**2 + 4*w - 7. Let r be y(2). Let i = 242 - r. List the prime factors of i.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81170\/3 + 27057. Is r smaller than 0.15396?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 - 433*u**3 + 61*u**2 + 382*u**3 + 52 to the form x*u**2 + g*u**3 + i*u + d and give g.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = q - 2. Let f = 20 - q. Calculate the smallest common multiple of 10 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15038709 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 727145039?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 0 - -4)\/(-2). Differentiate k*s + 5*s - 5*s - 19*s**2 + 1 wrt s.\nAnswer: -38*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1380 - 1395. Let f be (12*(-5)\/b)\/(80\/72). Determine o so that -54\/5 + f*o**4 + 36\/5*o**2 + 54\/5*o - 52\/5*o**3 - 2\/5*o**5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -5*z + p + 58, -z - p + 15 = 0. Solve q + 3 = g, 4*g = -z*q + 5*q - 42 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148\/5 equal to -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 3*y**2 + 2*y - 4. Let s be n(3). Let u(v) = 3*v + 3*v**3 + s*v**2 + 3*v - 7*v. What is the units digit of u(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9 and 129.0286383274.\nAnswer: 138.0286383274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = b - 595, 0 = 188*b - 184*b + 3*m - 2354. Let g(t) = -t**2 - t - 703. Let j be g(0). Let k = b - j. What is k rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, a: 3, o: 2, b: 1, h: 6, k: 1}. Give prob of picking 1 k and 1 m.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 2, -2 = -4*l + 62*k - 61*k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 307544676?\nAnswer: 2, 3, 31, 61, 13553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 89 - 41. Suppose m - 3*k = -g, 1 - 4 = 3*k. Let v = m + 85. Calculate the highest common divisor of v and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -21 + 73 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r + 1. Suppose 5*h - 2*h = 5*y - 31, 0 = -3*y + 15. Determine w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 11*c - 180 = 0. Let b = c - -34. Is b + 31*(4 + -2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -463.\nAnswer: -46.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 324.87 + 1.13. Let k = v + -326.0024. Round k to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 5993853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191516605 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 6, m: 1, q: 1, e: 1, i: 9, c: 2}. Give prob of picking 1 e and 1 v.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90 + -31 + -29 + -29?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*d*i**2 + d + 2*i**2*y - 8*i**2 + y - 316 wrt i?\nAnswer: 14*d*i + 4*i*y - 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbb. Give prob of sequence bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/7 + 205*j**3\/7 + 2133*j**2 + 62937*j + 571536 = 0. Calculate j.\nAnswer: -63, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h + 2*p, 9 = 4*p - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -36942, -36793, -36542, -36189, -35734, -35177?\n\"Answer: 51*n**2 - 4*n - 36989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -9.\nAnswer: -9, -7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -479 + 467 + 0 + 0 + 1 + -1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 204 - 112 = 2*t, 2*t + 802 = 5*a. Suppose -2*w + 4*f = -a, w + 2*f = -w + 138. Calculate the remainder when w is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10341423.545 to the nearest 1000.\nAnswer: 10341000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of 5*m**3\/6 + 11*m**2\/2 - 689*m. Give w(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -81*g + 13. Suppose -10 = 3*s + 2*z, -z + 3 = 2. Is c(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - -43. Let i = -452 + 480. Calculate the remainder when v is divided by i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5101, 20475, 46073, 81895, 127941?\nAnswer: 184211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3265 and 3590?\nAnswer: 2344270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.7409 + -0.4409. Suppose -3*r - 2*r = -25. Suppose r*y - 2*t + 6 = -20, 4*y + 5*t = -1. Which is the nearest to -0.1? (a) u (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -1114.\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 77?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 2:56 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 2:42 AM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15130\/(-6052)*(-7)\/(126\/(-4)).\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6801*j + 4306*j + 5447*j.\nAnswer: 2952*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 2\/11, 26, -0.27, 0, -2\/5, -10\/27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*k**2 + 31*k**2 + 31*k**2 + 30*k**3 + 28*k**2 wrt k?\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23467602955 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 369 and 205?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 36.\nAnswer: 40\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 393 - 379. Let f(a) = -86*a + 8. Let t be f(-3). Calculate the highest common divisor of r and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 o when three letters picked without replacement from {o: 8, j: 4, r: 1}.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of o**4\/4 - o**2\/2 - 16*o + 12. What is h(0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5) + 1 + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2557*r + 616405. Give t(-241).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - b + b)*(2*b**2 + 0*b + 0*b) + 0*b**3 + b**3 + b**3 + (9*b + 0*b + 0*b)*((-6 + 8 - 1)*(-b + b**2 + b) + 8*b**2 + 5*b**2 - 5*b**2).\nAnswer: 87*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6090 is divided by 3040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/8 - 14239221*v\/8 - 14239215\/4.\nAnswer: -3*(v + 2)*(v + 4746405)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/12932 and -17\/5.\nAnswer: 64660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 4*u**2 - 19*u**2. Let s(v) = -2*v**2. What is s(f(o))?\nAnswer: -968*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 7 + 19 - 733*n + 713*n.\nAnswer: -20*n - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396*i = -442*i + 343 - 113. Sort i, 3, 4, -9, -2 in ascending order.\nAnswer: -9, -2, 3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lokjjjd. Give prob of picking 1 j and 1 d.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**(-1\/4)*x*x)**(-19)\/((x*x**(-4\/9)*x)\/x**(-2)) assuming x is positive.\nAnswer: x**(-3035\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**3*t**3 - 4*k**3*t**2 + 331608*k**3*t - 7655396*k*t**3 wrt t.\nAnswer: 6*k**3 - 45932376*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.0485 - 78516.\nAnswer: -78514.9515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f*f\/f**(-8))\/f)\/((f*f**(-5\/3))\/f))**(-47) assuming f is positive.\nAnswer: f**(-1645\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -15, -1, 95, -3 in descending order.\nAnswer: 95, 15, -1, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 != 290\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1025490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 4*j**4 + 2*j**3 + (2*j**2 + 3*j**2 - 4*j**2)*(-j + 4 - 4)*(-5*j - 3*j + 2*j).\nAnswer: 10*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 68?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(14)\/sqrt(7)*-2)**2)*5.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -68 at most -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17 - 7*h + 17)*(59*h**2 + 203*h**2 + 248*h**2 - 91*h**2) to r*h**3 + d*h + x*h**2 + a and give r.\nAnswer: -2933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-2*sqrt(176))**2 + (sqrt(176)*3 + -2 - sqrt(176)) + 3 + sqrt(176)*2 + 6*(sqrt(176)*-2)**2.\nAnswer: 16*sqrt(11) + 4933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*h + 70*h + 3*h + 12*h + 132*h.\nAnswer: 251*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + n = -0*n - 8, 4 = 2*q - n. Suppose 4*i + 2*v = 0, 0 = 4*i + q*v + 12 - 4. Solve -6 - 2 = -i*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 7*g - 11*g + 1)*(-32*g + 19*g - 25*g)*(-1 + 1 + g**3).\nAnswer: 646*g**5 - 38*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 2*c**2 + 0*c)*(-1 - 3 + 5) - 4*c + 4*c - 3*c**2 - 3*c**2 + c**2 + 4*c**2 + (c - 2*c - c)*(-1 - 2*c + 1) + 0*c**2 + 2*c**2 - c**2.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89430.\nAnswer: 2, 3, 5, 11, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110117, -220178, -330239, -440300, -550361, -660422?\nAnswer: -770483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -343028*j + 1361316.\nAnswer: -343028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/28*(-6)\/(-1)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.1 (b) -2\/11 (c) -8.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -10*r - 41. Suppose -72*y + 1367 = -283*y + 312. Calculate j(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 138352188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1518564 + -938564. Round j to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*s + 56*s - 1890. Let a be (12\/(-42))\/(20\/s). Suppose -4*t - 5 = n, 0*t + 1 = n + t. Solve 0 = a*p, -v = -6*v + n*p + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528705?\nAnswer: 3, 5, 31, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28956.3, -11, -0.03?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*78\/(-120)*(-648)\/(-1404)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r - 32. Let m be j(15). Let z = -10 + m. What is the second derivative of 33*h**2 - 99*h**2 + z*h + 50*h**2 wrt h?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*n + 81*n = -6*j - 4, -2*n - j - 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-992)\/(-9) + 136\/36 + -4. Let o be (-2540)\/(-85) - (-2)\/17. What is the highest common factor of w and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p - 18. Let j(a) = 10*a**2. What is j(y(w))?\nAnswer: 160*w**2 - 1440*w + 3240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7772281961 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 130447 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of m**6\/360 + m**5\/30 + m**4\/24 - m**3\/6 + 19*m. Let v(o) be the second derivative of z(o). Calculate v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 3, h: 13}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v. Let o(n) be the first derivative of n**5\/120 + 13*n**3 - 70. Let w(z) be the third derivative of o(z). Determine w(u(r)).\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76 - 37. Let w = s + -23. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 11:27 AM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 1\/2 (c) 2\/5 (d) 1 (e) 3 (f) -98 (g) -5\/116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9709, 19207, 28693, 38161, 47605, 57019, 66397?\n\"Answer: -g**3 + 9505*g + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/213 (b) -14 (c) -4\/7 (d) 0 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a (base 13) in base 2?\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 38, 79, 136, 209?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21550777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1.771749 litres to millilitres.\nAnswer: 1771.749","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209532.\nAnswer: 2, 3, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12699 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 804*h + 180820. Determine d(-226).\nAnswer: -884","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1022 - -487. Is j <= -534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 10*v**2 - 21*v + 3. Let l be m(-7). Suppose -6 = l*r + 2*r + 4*s, -3*r = -4*s - 22. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b8323b (base 12) in base 8?\nAnswer: 13060617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(27)*-6)**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jtc when three letters picked without replacement from {c: 1, t: 1, g: 1, v: 2, j: 1, p: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*u - 7*u - 20. Suppose 2*m + 3*m = -u*d + 36, 0 = m - 4. Calculate the lowest common multiple of d and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, c: 6, t: 3}. What is prob of sequence vv?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -45944.189 and -1.\nAnswer: -45945.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7656264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 77*t - 312*t + 8225 for t.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -192, 0.3, -1.046, 0.8 in decreasing order.\nAnswer: 1, 0.8, 0.3, -1.046, -192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 468 + -229. Suppose -7 - o = -6*g. Differentiate 34*c**3 - 162*c + 162*c - g with respect to c.\nAnswer: 102*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 622*h**6 - h**5 - 3*h**3 + 1329*h**2?\nAnswer: 74640*h**3 - 60*h**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -271, -2178, -7351, -17422, -34023, -58786, -93343?\nAnswer: -139326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-160)\/(-79) - 14\/553.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*y**4 - 10*y**3 - y + 58 wrt y.\nAnswer: -48*y**2 - 60*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 89. Which is smaller: l or 15?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, 6\/55, 0.3 in descending order.\nAnswer: 0.3, 6\/55, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6722974 centuries to decades.\nAnswer: 6.722974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 100 in -0.2, 11, 0.3?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 + -127. Are -31 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/7))**(-5\/11)\/(f**(-1\/2)*f)**(-42) assuming f is positive.\nAnswer: f**(1607\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -5*m**3 + m**2 + 4. Let n be l(0). Let s be 150\/18 - (-2)\/(-6). Solve -n*c = -0*c + s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 2*a**2 + a**4 + 0 - 3*a + 8\/3*a**3. Factor u(d).\nAnswer: 4*(d + 1)*(3*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60470585, 120941163, 181411741, 241882319, 302352897, 362823475?\nAnswer: 423294053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -35.9. What is the nearest to g in 1\/4, -2\/9, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/8342 and -49\/149904.\nAnswer: 625249584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 31483956 divided by -147812\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*1\/3.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-76)\/(-22) + (-216)\/(-396). Let y(x) = 14*x + 8. Does 24 divide y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m = 5*j - 35, -11*m - 4*j = 2*m - 18*m - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l - 5. Let k(b) = -b**3 + 6*b**2 - 4*b - 1. Let x be k(5). What is i(x)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.131723 microseconds to nanoseconds.\nAnswer: 9131.723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123, 5, -416, 2 in descending order.\nAnswer: 123, 5, 2, -416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*q - 4. Let h(b) = b + 1. Let z be h(-1). Suppose 2*u + z = 20. Calculate the highest common factor of u and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 58 = -156. Let j = -47 - t. Solve q - 22 = -0*q - 5*n, 25 = -5*q + j*n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -1 - (3 + (-8 - 4)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*a**2 + 41*a - 377 with respect to a.\nAnswer: 6*a + 41","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x - 141. Let s(k) = k + 14882. Calculate s(a(r)).\nAnswer: -2*r + 14741","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/3*3 - 3. Suppose -2*a + 152 = m + 2*m, 148 = h*a + 2*m. What is the greatest common divisor of a and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 960 = -2*d - 37*v, -57*d - 24 = -55*d - 56*v + 57*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -754 - -733.65. Let u = d - -16.4. Let a = u - -4. Is a < 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 694 divide 3040743247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from yabaauua?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 902 in -2\/33, 2, 8\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8672355, -8672350, -8672343, -8672334, -8672323, -8672310, -8672295?\n\"Answer: l**2 + 2*l - 8672358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {p: 9, i: 4, e: 4}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(117)*-6 + sqrt(13)) + 1 + sqrt(13) + (-1*sqrt(13) + 5 - sqrt(13)).\nAnswer: -103*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k + 4*k + k + (-4 - 1 + 3)*(-2*k + 4 - 4) - k + k - k)*(0*k + 0*k + k) as c*k**2 + j + b*k and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of -y**6\/120 + y**5\/10 - 5*y**4\/24 + y**3\/6 + 2*y**2 - 2043. Let n be 3*(40\/6)\/2. Suppose 0*s - n = -2*s. Calculate r(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18.88*-6160.\nAnswer: -116300.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 78761 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 208320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0084579167 to 6 decimal places.\nAnswer: 0.008458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 12 + (5\/20 - 3)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-201)\/134)\/((-6)\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**7\/105 + z**6\/12 + 3*z**5\/10 + 7*z**4\/12 + 2*z**3\/3 - 7*z**2. Find d, given that s(d) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/(7\/(-7)))\/(70\/4).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**2 + 3*j**2 - 7*j**2. Let a(b) be the first derivative of 0*b - 15 + 1\/2*b**2. Give o(a(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x\/(x*x\/x**(-2\/5)))*x))**(24\/11)*(x**(-1\/3))**28)**(7\/6) assuming x is positive.\nAnswer: x**(-8414\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 79, 86, 107, 148, 215, 314, 451, 632?\nAnswer: 863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 6*s - 1. Suppose 0 = 4*i - 6 + 50. Suppose -3*r + 12 = -r. Let f(j) = 3*j**2 + 1 - 7 - j**2 + 11*j + 4. What is i*a(m) + r*f(m)?\nAnswer: m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 8, -114, 4 in decreasing order.\nAnswer: 12, 8, 4, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-44)\/(-154) - (-38)\/14. Let d be 2\/(-5)*(-5 - 0). Solve 0 = -5*m + f*s, 2*m + 0*s = -d*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-6) + 11 + 3. Suppose -3*f + 1 = -2*v, f - x = -v - 2*f. Solve 2*i + 2 = v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 667388065 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - n = -61, 14*g - 3*n - 13 = 12*g. Let i(k) = k - 3. Let t be i(6). What is the third derivative of 5*f + 9*f + 18*f**2 - f**t - g*f wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor 64958*s**2\/9 + 390500*s\/9 + 1504\/3.\nAnswer: 2*(s + 6)*(32479*s + 376)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-11)\/110)\/((-11)\/(-110))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -h - g, -13 + 12 = h - g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1300)*-1*-4 + -4 - -2*-6*(sqrt(1300) + -1 + (sqrt(1300) - sqrt(1300)*-2)))**2.\nAnswer: -6400*sqrt(13) + 2080064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 263156 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -144 + 144 + 20*f to the form z*f + q and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 289*t**3 + 4*t - 3. Determine k(1).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 33 - 23. Let r = 4 - n. List the prime factors of (-10)\/15 - 316\/r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 2*q + w - 7, -5*w + 7 = 4*q. Let h(o) be the first derivative of 4*o - o**4 - 8 - 4\/3*o**q + 2*o**2. Suppose h(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 72, 0.06, 3\/2, -1?\nAnswer: 72","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -18*b + 168. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 15\/188, -1\/2, 0.4, 4?\nAnswer: 15\/188","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -24941402 divided by 2?\nAnswer: -12470701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (469*w - 18502 + 18502)*(-2 - 1 + 4) + 2*w + w - 2*w + (-2 + 1 + 0)*(-4*w + 0*w + 3*w) + (0 + 1 - 3)*(1 - 1 + 4*w).\nAnswer: 463*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1377 + -1026. Is h even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 472317 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4842439 and 8155?\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*z + 2 + (-2 - 4 - 1)*(2*z - 3*z + 0*z)*(11 + 10 + 2))*(2 - 2*z - 2 + (-4*z + 6*z - 4*z)*(0 - 3 - 4)) as u*z + l + c*z**2 and give c.\nAnswer: 1956","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -55*l**5 + 1127*l**2 + 1238*l. What is the derivative of v(q) wrt q?\nAnswer: -3300*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w + 5 - 7*w + 6*w. Let a(n) = n + 1. Give 5*a(c) - o(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3402172?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(3\/2)\/z*z)*z**1*z*z*z)**(-32) assuming z is positive.\nAnswer: z**(-112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 9:50 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1432205 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11269, -22529, -33789, -45049, -56309?\nAnswer: -67569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*l**2 - 50*l**3 - 31*l**3 + 3*l**2 - 13*l**2.\nAnswer: -81*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -2*a - 3. Let o be c(-4). Suppose -m - 3 = -2*r + 6, -o*r - 5*m = -60. Suppose -r*f + 580 = -3*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 417 (base 8) to base 13\nAnswer: 17b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -29 + -0.04.\nAnswer: -29.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.41 - -1.09. Let l = -2.56 - -0.06. Let g = l + a. What is the nearest to g in 3, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7*i + 2*j = -11, -2*i + 3*j = -18. Let p(o) be the second derivative of -i*o + 0 + 1\/12*o**4 + 1\/2*o**2 + o**3. Give p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20458385.\nAnswer: 5, 23, 41, 4339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 10:33 AM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -303 - -307. Suppose -f*k + w = -11, 5*w + 25 = -0*k + 5*k. Solve -k*u = -5*u + 4*b - 1, 0 = 2*u - b - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 - 4*l**2 + 5*l + 4. Let t = -16 - -11. Let u be n(t). Solve -u = 2*c - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 111*d + 60. Calculate r(6).\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -314928, -629940, -944950, -1259958, -1574964, -1889968?\nAnswer: -2204970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + -232101032?\nAnswer: -232100431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14632777, -14632775, -14632773, -14632771, -14632769?\n\"Answer: 2*q - 14632779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -150 + 455\/3. Suppose -13 = -5*a - 3. Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 4 + sqrt(147) + sqrt(147).\nAnswer: 7 + 14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15316*g**4 - 24227 wrt g.\nAnswer: -61264*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**2 - 6*d + 6. Let b(r) = r**2 + 3*r - 3. Let u(w) = 5*b(w) + 2*g(w). Let j be u(-4). Solve 3*q + j = -5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of y**5\/20 + 5*y**4\/3 + 14*y**3\/3 - 30*y**2 - 141*y. Let j be z(-18). Calculate the greatest common factor of 21 and j.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2 - 55*q + 42. Let r be w(25). Suppose -2*i - 96 = -18. Let u = i - r. Calculate the highest common factor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 45 + 9 = 0. Let t be (0 - -2)\/(0 + 2). Put -1, t, d in descending order.\nAnswer: d, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*l - 222*l = 0. Suppose l = 2*w + w - 183. Is 12 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-15)\/g*g*g*g)\/(g**14*g))\/(g*g\/g**18*g**(-6\/13)) assuming g is positive.\nAnswer: g**(-137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0049455 to 5 decimal places.\nAnswer: -0.00495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**5\/60 + j**4\/6 - j**3 - 4*j**2. Let u be (0 + -1 + 1)\/2. Suppose u = -w - 3 + 8. Calculate r(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 114, 356, 836, 1632, 2822, 4484, 6696?\nAnswer: 9536","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5 - -3 - 3) + 24?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40395917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -0.9. Let t be (3\/10)\/(((-16)\/56)\/((-776)\/(-2037))). What is the closest to y in 5, -3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 3351*n. Let s(k) = -k**2. Determine s(c(v)).\nAnswer: -11229201*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 3*w - 17 + 1\/3*w**3 + 0*w**2. Let x(a) be the first derivative of -39*a**2\/2 - 1. Give x(k(y)).\nAnswer: -78*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2141\/108 + -31\/54. Calculate the common denominator of i and -51\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2475188 is divided by 353597?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 2. Let b be ((-32)\/6)\/((-1)\/j). Suppose -2*y = -2 - b. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4)**22\/(d\/(d\/(d\/(d\/((d\/(((d\/(d*d**(1\/2)))\/d)\/d*d)*d)\/d)*d))*d)*d**(4\/11)) assuming d is positive.\nAnswer: d**(1917\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -4*h - 4*h**2 + 4 - 6*h**2 + 3*h**2 + 8*h**2. Let u be (14\/(-6) - -2)*-12. What is z(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23356 divided by -264?\nAnswer: 5839\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.0688 in 0.4, -2\/3, 0, 1\/4, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z + 2. Let m(u) = -2*u**2 + 4*u. Let d be m(3). Let t(f) = 13*f - 4. Let c be -3 + -1 + (2 - 9). What is c*b(n) + d*t(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 11732213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-21)\/(-2) + 4\/(-8). Suppose 4*x + 12 = 0, -5*x + 7 = h - t*x. Let y(c) = c**2 + 5*c + 11. Is y(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -2\/13, 0.01, -5\/2, -0.64?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 4*r**2 + r. Let c be u(2). What is the highest common divisor of 140 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 6 + 4)*(-2 + 1 + 2) + 7 + 1 + 8)*(2*c**2 - 6*c**2 + 3*c**2)*(-3 - 1 + 5).\nAnswer: -17*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - -3*(1 + sqrt(3)) - (sqrt(3) + ((-2*sqrt(9))\/sqrt(3) - sqrt(3)))**2)*6.\nAnswer: -54 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -319 - -456. Let s = 200 - y. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1783, -37?\nAnswer: 1783","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**3 - 5*i**2 - 36*i - 62. Calculate n(-2).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 286995 and 1790?\nAnswer: 102744210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 194, 197, 200, 203?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 592 is divided by 283?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 8*r**4 - 8*r**3 - 123*r**2 - 186*r + 6. Let c(x) = -33*x**4 + 33*x**3 + 493*x**2 + 746*x - 26. Let j(s) = -3*c(s) - 13*p(s). Factor j(m).\nAnswer: -5*m*(m - 6)*(m + 2)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gba when three letters picked without replacement from {b: 5, g: 1, a: 4, o: 1}.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -55 equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*j + 23. Let i = -4 + j. Let a(o) = o**3 + o - 6. Calculate a(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbbvbb. Give prob of picking 1 v and 2 b.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 385 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 3*o + 20 = 0. Suppose o*r - 1 = 23. What is the units digit of 2\/(-2) - r\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(65)\/sqrt(5) - sqrt(13)) + (-1*sqrt(13))**2*1 + (sqrt(13) - (-4 + (sqrt(26)\/sqrt(2) - sqrt(13))) - (sqrt(91)*2 + sqrt(91))\/sqrt(7))**2.\nAnswer: -16*sqrt(13) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31964 and 4148.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 10*z - 8. What is o(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 36?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - -7) + 0 - -5072 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 2*q - 19, 0 = -5*f - 4*q + 34 - 39. Suppose 6*c = 61 + 11. Sort c, 4, -3, f in descending order.\nAnswer: c, 4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156*a + 1263*a = 21033 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9300626?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(-4)\/a))\/a*a)\/a**(2\/19))\/(a**(-2\/9)*a**(-6))*(a*a**(-2\/3))**(15\/4)*(a\/a**(1\/11)*a)\/a**1 assuming a is positive.\nAnswer: a**(107413\/7524)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 17*c + 30. Let a be l(18). Suppose a*q - 10*q = -5*o + 119, 143 = 2*q - 3*o. List the prime factors of q.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 82. Suppose 3 = o - q. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-5242)\/(-4) + -2). Let f = 1533 + v. Let n = f + 1577. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1930 divided by -5.\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2548, 2542, 2538, 2536, 2536, 2538, 2542?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**3 - 249*s + 249*s.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -12. Suppose 34 = x*o - 11. Suppose -y = -4*g - 26, 4*y + 0*g = -o*g + 41. Which is smaller: 16 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-4)\/14)*7. Let y(a) = -8*a + a**3 + 7*a - 1 + a**i - 2*a**2. What is y(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 + 63.4. Let x = 0.44 - -16.56. Let r = v - x. Which is the nearest to 0? (a) r (b) -10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -13401958 and -3.8?\nAnswer: 13401954.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 5*p**2 + 1. Let i be n(5). Let t be (-192)\/(-261) + (-4)\/6. Which is smaller: t or i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 7138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129*g + 126*g + 13475 = 2*p, -2*p + 13463 = -g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316287, -316872, -317455, -318036?\nAnswer: -318615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69.69 * -0.8.\nAnswer: -55.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 2*a + 2 + 8*a - 3*a.\nAnswer: 5*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/11679750 and 13\/32220?\nAnswer: 23359500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -8, 3, 20 in increasing order.\nAnswer: -8, -2, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**4\/3 - 13*h**3 - 105*h**2 + 441*h = 0.\nAnswer: -21, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.4 + 1.59. Let h = 0.09 - t. Let w = 0.2 + h. Is w smaller than -0.05?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.70867 + 2.2546. What is a rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -507*q**3\/2 + 4212*q**2 - 6030*q - 107736 = 0.\nAnswer: -4, 134\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.41582 + 6.61561. Let l = -3.2 + r. What is l rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 155891, -85, 1 in decreasing order.\nAnswer: 155891, 1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 3*t - 14, 4*t = -2*n + 8 + 14. Suppose -8 = -l - n. Solve -o = -l*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-93)\/(-217)*(6 + -5). What is the closest to -1 in 5.87, y, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296011020577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -21. Suppose 2124 = t*l - 8*l. Suppose -5*d - d = -l. What are the prime factors of d?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i**2 + i - i)*(-310*i + 649*i - 23*i + (5 - 3 - 1)*(3*i + i - 6*i)) as q + h*i**2 + b*i + y*i**3 and give y.\nAnswer: -628","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -659073*t**2 + 335445 with respect to t.\nAnswer: -1318146*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4089285.\nAnswer: 3, 5, 23, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -2*m, -2*p + 3 = 2*p + m. Suppose -3 - 11 = 2*n. Let t(j) = j**2 + 6*j + 1. Let v be t(n). Solve -p = 5*s + v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -5\/4 (b) 1\/992 (c) 0.225 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 602 - -630268?\nAnswer: 63086a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y + 87. Let g be f(0). Let i = 3 + g. Let q = -23 + i. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00459897926 rounded to 5 decimal places?\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 342326 to the power of 1\/2, to the nearest integer?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -13\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-10 + -8 + 57)) + -3.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.017 - 0.017. Let w = r - 19. What is the nearest to 1\/3 in w, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b**2 - 8*b**2 + 19*b**2 - 14*b - 5*b**2 as s*b**2 + q + w*b and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55 - 55. What are the prime factors of (-7)\/((-6 - d)\/306)?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2518 is divided by 33?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4554 + -4543. Solve 0 = -2*t - z + 8, -g*t = -16*t - 3*z + 21 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 584 - 579. What is the second derivative of 186*g + 0*g**4 - 8*g**o - 5*g**5 + 0*g**4 + 5*g**5 wrt g?\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + 3*h)*(1 + 6 + 2).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 - 3*y**2 - 3*y - 1. Let m be k(-1). Let x be 10 - m - (0 - -3). Suppose -3*h = -6, -x*w + h = -3*h - 260. What are the prime factors of w?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 2 p, and 1 t when four letters picked without replacement from jtnnpsjnsss?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.157*0.5\nAnswer: 0.0785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 461 - 655 = 0. Calculate the greatest common factor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t**3 + 828*t - 274*t - 277*t - 277*t.\nAnswer: 24*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 314*b**2 + 123*b + 38628. Give o(-314).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100001011001110 + -1010?\nAnswer: 100001011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1069, -5582, -13161, -23806, -37517?\n\"Answer: -1533*v**2 + 86*v + 378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*l**2 - 1359089*l**3 - 10*l**2.\nAnswer: -1359089*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**3\/7 - 12*f**2\/7 + 36*f\/7 - 20\/7 = 0. What is f?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 46 - 1426 = 0. Suppose 4*a = 5*l + k, 390 = 2*a - 2*l - 298. Suppose -3*t + 7*w = 3*w - a, 2*w + 116 = t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*m + 5*m - 208 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -1*3*(0 + sqrt(117) + 1)*-5 + -1)**2.\nAnswer: 1080*sqrt(13) + 26469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/7)*v*v**(-2)*v\/(v**(-2\/17)\/v*v)*v**(-2\/17)*v assuming v is positive.\nAnswer: v**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s - 160 = -32*s. Solve -c - 37 = 2*c + 5*n, -n = -s*c - 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/6 + 25\/(-10). Let z(l) = -2*l - 1. Determine z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 71345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 58*u + 41 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 911 + -882. Let d(j) be the second derivative of -1\/12*j**3 + 0*j**2 + r*j + 0 - 1\/24*j**4. What is f in d(f) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302 (base 8) to base 3.\nAnswer: 21012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/8))**(-4\/7)*n**(-2\/5)*n*n**(-17) assuming n is positive.\nAnswer: n**(-1163\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 - -2.2999758. Round v to 6 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/8)\/((-19)\/(-456)*12). Let j(o) = -o - 8. Let b be j(-6). Let x = 7 + -10. Sort u, -1, b, x.\nAnswer: x, b, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-48)\/(-5 + 11))\/2. Calculate the remainder when 20 is divided by -3 + 2 - -4 - v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -573 - -572. Suppose -4*h = -5*t + 26, 0 = -5*t - 5*h + 12 + 23. Sort 0, t, c in descending order.\nAnswer: t, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1695755 is divided by 31?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdxq when four letters picked without replacement from {b: 1, d: 2, x: 2, f: 1, t: 2, q: 1}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 372213299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 6, j: 3, v: 1}. Give prob of sequence jaa.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 629 and 7851955.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1294 = -2*k - 2*z, -2*k + 51*z = 54*z - 1301. What is the greatest common divisor of 440 and k?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 10*s**2 - s + 25. What is the remainder when 99 is divided by m(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57098830 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 0*l + 4*l)*(-2 + 6 - 3) + (4*l + l - 2*l)*(3 + 0 - 4).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 82*b + 3179. Let f be v(-38). Solve 241 = 38*n - f for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2288 = 3253*u - 3461*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/10 - (-78)\/(-70). Which is the third smallest value? (a) 1\/8 (b) 4 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 82940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -3*h. Suppose 12 = p + h*z, -3*z + 58 - 15 = 5*p. Let y = p + -1. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 3*k = -35, -4*k + 283 = 2*z + 235 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 618 - 286. Let l = i - 995\/3. Which is greater: -32 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 21*c**6\/10 + c**5\/20 + 19*c**4\/2 - 11*c**2 + 30*c. Find the third derivative of v(o) wrt o.\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*b + w, 535*b + w = 534*b + 6 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + -5 - 4 - -2) + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/6, 6.36, 1.9089 in increasing order.\nAnswer: 0, 1\/6, 1.9089, 6.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 - -48 - (1 + (-5 - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*((-189)\/(-252))\/(1\/24*-2)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 814 and 44638?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.265 times -42246?\nAnswer: 11195.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 30 = 0, 3*c - 64 = -2*u + 7*u. Solve 8*h - 19 = c for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197 divided by 9?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3)*2 - (-3 + 0 + sqrt(3))) + -3.\nAnswer: -1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 188*y - 115*y + 219. Let j(p) = p**3 - p**2 + 2. Calculate j(y).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -7*z + 230. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5 - -0.3. Let w = 25.3973 + 0.0027. Let u = w - 22.4. Which is the third smallest value? (a) u (b) -0.5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 11 = -z, 2*z - 1 - 16 = -5*v. Is -3 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-88) + 4\/(-22). Do 2\/93 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 3:33 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 - 16*q**2 + 20*q + 243. Give g(-17).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgwwgxxjxxxx. What is prob of picking 4 j?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 14) to base 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -21920540*h. Let t(f) = 3077*f. Give -3*q(b) - 21371*t(b).\nAnswer: 3053*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/21 - 1)\/((13818\/(-98))\/(-10998)).\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 47999*p**2. Let u(n) = 5*n. What is u(s(g))?\nAnswer: 239995*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*15\/(-12) - (19 - (-19 + 38)). Put -0.5, -0.4, -4\/27, x, -1 in decreasing order.\nAnswer: -4\/27, -0.4, -0.5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2642 in -2\/13, -1, -2\/9?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/(-4))\/(((-20904)\/(-3953))\/52).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3 - 64*i**2 + 2*i + 64 = 0. What is i?\nAnswer: -32, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 39461282293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 742 + 70. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005388358793 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - 6. Let c = 8 + x. Let h = c - -7. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 2*c**2 + 5*c + 18. Give d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -83*x**3 - x**2 - 35*x - 63. Is f(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -348ca - 19c3?\nAnswer: -365c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + c**2 + c - 1. Let j be r(0). Let w = j + 7. Suppose 0 = o - w*o + 1705. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 8 + 2 = 0. Suppose 33 - 113 = -m*g. Suppose -24 = -0*q - 3*q. What is the highest common divisor of g and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 - 29. Let f = w + 17. Let i = f + -4. Which is the third smallest value? (a) 2\/19 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence koo when three letters picked without replacement from {y: 1, k: 3, w: 1, o: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 0*j**4 - 6*j + 107\/30*j**6 + 49\/2*j**2 + 0*j**3 + 0*j**5 + 10. What is the derivative of s(v) wrt v?\nAnswer: 428*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1451946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -v**2 + 2*v**2 + 2*v + 11661*v**4 - 6*v**2 + 2*v**2 + v**3 - 11663*v**4 - 3 as z*v + l + t*v**4 + k*v**3 + p*v**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -347*k - 212. What is y(1)?\nAnswer: -559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20735)\/(-26))\/(-29)*(-12)\/30.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f + f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 3:15 AM?\nAnswer: 1:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/14 and ((-57)\/(-6))\/(35\/(-25)).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*h - 4*h + 6*h)*(-h**3 + 0*h + 0*h) - 2576*h**4 - 3416*h**4 - 6797*h**4 + 243*h**4 to r*h**4 + c*h**3 + x*h**2 + d + s*h and give r.\nAnswer: -12544","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38.7 - -169.7. Let n = -129.4 + b. Sort n, 0, 0.4 in increasing order.\nAnswer: 0, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1692\/(-940))\/(3\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1217.\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -1725\/11. Let y(x) = -x**2 - 3*x - 4. Let n be y(-4). Let r = 4.48 - 0.48. Sort r, o, n in decreasing order.\nAnswer: r, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/413 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30392\/31 - 150348\/155. Factor -y*z**2 + 44\/5*z**3 + 8\/5*z + 0.\nAnswer: 4*z*(z - 1)*(11*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**7\/840 + u**6\/60 - u**5\/24 + 7*u**4\/24 + 4*u**3\/3 + 2. Let m(s) be the third derivative of k(s). What is m(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 - 19*a**2 - 19847*a\/4 - 29415\/2.\nAnswer: (a - 185)*(a + 3)*(a + 106)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 PM and 3:00 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m = 662 - 594. Suppose -2*p = -11 + 3. What is the closest to 3\/5 in p, m, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231*c + 3*c**2 + 231*c + 7 to z*c + n*c**2 + w and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r**2 + 15816*r + 15634116 = 0 for r.\nAnswer: -1977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0030765 to 4 dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/360 + (-54)\/(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411.3 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.026 + -0.0956. Round d to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.05312 rounded to 1 decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1440 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2 + 11 + 51*s + 180*s + 72*s. What is the hundreds digit of g(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + o + 3*o. Suppose -3*g = -2 - 4, -5*m = -2*g - 31. Let w(a) = 7*a - 4*a - 7 + m. Calculate w(u(j)).\nAnswer: 15*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 312939.5 millennia in years?\nAnswer: 312939500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 3*w + 21, 4*m + 2*w - 5 - 15 = 0. Let c(f) = -f**3 + 5*f**2 + 2*f - 17. Let h be c(3). Solve -4*a - m*b + 18 = 0, -3*b = -a - h + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 22492*c. Let a(o) = 3*o**2. Determine a(t(m)).\nAnswer: 1517670192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19442 - 9941. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11637 - -17854. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 28 = 7*u + 8*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 - 30. Let w = h - 56. Suppose 4*i - 30 + 10 = 0. What is the greatest common divisor of i and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.4, 0.2, -23, -1\/4, 626\/23?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 71*u**4 + 26*u**3 - 13*u**2 - 15*u + 233. Let j(c) = -35*c**4 - 12*c**3 + 6*c**2 + 7*c - 116. Let y(i) = 13*j(i) + 6*o(i). Differentiate y(n) wrt n.\nAnswer: -116*n**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0552356 + -7.0552356. Let n = 0.1 + 0.4. What is the fourth biggest value in -0.5, 0.06, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040021371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -13 + 42201?\nAnswer: 421dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -95, -3, -8, -1.\nAnswer: -95, -8, -3, -1, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 7, -1, 389 in ascending order.\nAnswer: -73, -1, 7, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 18*z + 7. Suppose -2*r = 0, -4*v + r - 248 = -3*r. Let m = -52 - v. What is the units digit of q(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11667518?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**5\/5 + c**4\/12 + 7*c. What is the third derivative of m(u) wrt u?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6422 (base 15) in base 12?\nAnswer: 10312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -265, -2232, -7695, -18400, -36093, -62520?\n\"Answer: -291*d**3 - 2*d**2 + 76*d - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-150)\/18 + 7)\/((-8)\/58692)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -383*w = -351*w - 1248 + 128. What is the biggest value in w, -0.3, 0, 1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1. Let f(o) = 5*o + 1. Calculate f(z) - 4*q(z).\nAnswer: 5*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.3, -10\/3, 73\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 4. Let l = 9.2 - 8.2. Which is the nearest to 1? (a) g (b) l (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5976 or -3065?\nAnswer: 5976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 266*g + 2185. Determine f(-8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 5*k + 20, -45*k - 30493 + 30673 = -2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3 = -7, 5*y = -2*a + 22. Suppose 1 = 3*c + y. Let q be c*((0 - -1) + -5). Solve 5*b - 3 = -3*u, b - q*u = 2*b + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3778724 is divided by 92164?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - i + 168. Let c be g(-13). Solve 7 = -c*j - 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1.8 (b) -4\/5 (c) -0.4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*k - 9*k - 2*k**2 - 4 + 17*k - 5*k - 2*k**3 as s*k**2 + x + b*k**3 + t*k and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21.6 - -3.6. Let m = 25 + -44. Let h = m - n. What is the closest to h in 1\/5, 4\/7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/10)*f\/f**(-1\/2)*f**(-7)\/(f\/(f**(-6)\/f)))**25 assuming f is positive.\nAnswer: f**(-330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 - (154 + -38) - -12?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w**2 - 12*w - 143. What is d(-4)?\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + 55272\/(-1372) - (-1 - 2)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 19*v + 5. Let h(g) = 38*g - 1458. What is the remainder when d(8) is divided by h(39)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t**2 + 5*t + 9. Let o(x) = x**3 - 8*x**2 + 9*x - 4. What is the remainder when f(-4) is divided by o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 5*r + 14 = 0, -6 = 2*l + 8*r - 3*r. Let v be (1\/1)\/(3\/9). Put v, -4, l in increasing order.\nAnswer: -4, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.2 (c) -1\/91 (d) 2378\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27195923 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 154717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -45, -12, 0, 1, 2 in ascending order.\nAnswer: -45, -12, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (6 + (-7 + 5 - (-3 - 8))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10d3a (base 14) to base 3.\nAnswer: 2002021010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5001*f**3 + 2847*f**3 + 14572*f**3.\nAnswer: 22420*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35537.1 decades to centuries.\nAnswer: 3553.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a litre in millilitres?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 9 + 2. Let o(v) be the second derivative of v**4\/12 + v**3\/6 + 3*v**2\/2 - v. Does 27 divide o(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16321 + -16319. Let r(s) be the second derivative of 0*s**d + 3\/2*s**5 - 15*s - 3\/2*s**3 + 0*s**4 + 0. What is the second derivative of r(x) wrt x?\nAnswer: 180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17252 and 874?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.121 - -0.221. Let q = -7.31 + 2.31. Let y = -0.4 + 0.3. What is the closest to y in x, -0.4, q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-7 - -7) + (0\/(-3) - -1). Let y be (3 - o)*((-9)\/(-3))\/3. Suppose y*g + 394 = 158. Which is smaller: -117 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 + 72736*v**2 + 218201*v + 145466.\nAnswer: (v + 1)*(v + 2)*(v + 72733)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -26*t**2. Let z(g) be the first derivative of -4*g**3 + 208. Determine z(p(o)).\nAnswer: -8112*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of 0*w + 2\/25*w**5 - 13\/300*w**6 + 2\/175*w**7 + 0 + 12*w**2 + 0*w**3 - 1\/15*w**4 - 1\/840*w**8. Determine o so that f(o) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 4 + 5 + -1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 532403101?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2)*x)**(-31)*(x**(-2\/3))**17 assuming x is positive.\nAnswer: x**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/75 and 161\/330.\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/12 - 35\/(-42). Let u be (v + -5 - -3) + 4. Let y(z) = 20*z**3 + 11*z**2 - 5 + 14*z**3 - 5*z**2 - 33*z**u. Determine y(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d**5 - 5067*d**4 + 117519*d**3 - 634293*d**2 - 190938*d = 0. What is d?\nAnswer: -263, -2\/7, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 - 0.6. Let b = m - 2.6. What is the second biggest value in 0.5, 0, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(5\/4))**(5\/7)*((c\/(c*c**(1\/2)\/c))\/c)**(-5\/14) assuming c is positive.\nAnswer: c**(15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.869 + 0.131. Let z = u + 13. Let m = 0.2 - -2.8. Put -4, z, m in ascending order.\nAnswer: -4, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**2. Let m be v(1). Suppose m*l = l + 10. Suppose 1 - 5 = -2*a. What is the remainder when a is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 7:40 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 9*v**2 - 7*v - 10. Determine u(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51, 16, 195, 486, 889, 1404?\n\"Answer: 56*r**2 - 101*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -127619 (b) -2\/7 (c) -1\/4 (d) 4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-6*6\/(-90)). Suppose -3*j = -3*x + 3, -8 + 37 = -r*j - x. Is 9 a factor of j - (-95)\/(-5)*-14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 - -1001110011100111000?\nAnswer: 1001110011100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -15*l - 3. What is the remainder when 206 is divided by k(-3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8252 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7\/5 - -31\/15. Let x = -0.698 + 0.798. Let p = 4 - 5. Sort p, x, m in increasing order.\nAnswer: p, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18741\/(-15)*(-5)\/786. Let j = n + -15\/131. Find the common denominator of j and 34 + 62\/(56544\/(-29355)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.11464mm in nanometers?\nAnswer: 31114640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-28)*(-434)\/248?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t = -8. Let f = 3 - 1. Let z be -3 - (t - (-6)\/f). Is 2 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1469 + -1466. Let j(v) = 2*v + 23. Let x(z) = z. What is i*x(u) - j(u)?\nAnswer: u - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1753 (base 9) to base 11.\nAnswer: -1012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11456569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/(n\/(n*n**(4\/9)*n*n)))\/((n*n*n*n\/((n**12\/n)\/n*n))\/n**(-6\/5)) assuming n is positive.\nAnswer: n**(461\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, 0, -7, -65, 4, -248 in decreasing order.\nAnswer: 5, 4, 2, 0, -7, -65, -248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 31*b + 2. Is 34 a factor of f(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -578.532*-1.19.\nAnswer: 688.45308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d + 66. Let r be z(-8). What is the second derivative of 96*j**r + 9 - 6*j + 5*j**2 - 15 wrt j?\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271641 is divided by 254197.\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6*(16\/(-6))\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 1 + 2 - 2. Let z be n(7). What is the least common multiple of z\/(-15) + 13\/5 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1474 + -1007. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) -3 (c) 3 (d) 323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -598 = i - 2518. List the prime factors of i.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2219264?\nAnswer: 2, 8669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 - o**2 + 9. Let i be k(0). Suppose f + 40 = 3*x, 5*x - i = f + 59. Calculate the greatest common divisor of 56 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 1 + 0 - 3 + (u + 2 - 2)*(0 - 2 + 4))*(27 - 27 - 6*u**2).\nAnswer: 12*u**3 + 12*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 68023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -10*a + 274. What is m(27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d - 101. Let o(f) = f - 6. Give g(y) + o(y).\nAnswer: -3*y - 107","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 877*o - 363. What is the thousands digit of d(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*r*z**2 - r*z - 4318*r + 2*z**2 + 2 with respect to z.\nAnswer: -156*r*z - r + 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10518, -21196, -32042, -43056, -54238, -65588, -77106?\n\"Answer: -84*l**2 - 10426*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 118324?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 290 (base 14) to base 2.\nAnswer: 1000000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 151020 and 5134680.\nAnswer: 5134680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4876)\/124338 - (-160)\/2346.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11147, 8079, 2959, -4219, -13461, -24773?\nAnswer: -38161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11112 + -202100001?\nAnswer: -202011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/(20\/(-30)). Let u = 274 - -179. Let v = -426 + u. Put v, z, -2, 1 in decreasing order.\nAnswer: v, 1, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcrrrirtcicirrt. Give prob of picking 1 t and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 801?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j + 10. Let n be g(0). Suppose 5*q = n + 10. What is the lowest common multiple of 3 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40798*f**3*j - 317*f**2*j - 1639*f*j + 3596*f - 2*j wrt f?\nAnswer: -244788*f*j - 634*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 93b387 (base 14) to base 4\nAnswer: 103001122323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 10:53 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 4, 14 in ascending order.\nAnswer: -24, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-three fifths of a millimeter?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*f - 336 = -94*f. What is the remainder when 195 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**4 + j**2 - 1. Let c(z) = 3*z**4 - 4*z**2 + 3. Let i = 15 - 9. Let f be 4*9\/i - 2. Let d(w) = f*m(w) + c(w). Differentiate d(o) with respect to o.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - -35 - 40 - 5.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 2*s - 163 + 181 = -5*s, -22*b = 2*s - 64 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/6)\/(-21*20\/(-70))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112276 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-22))\/(16\/(-88))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (2 + 8)) + 1 - 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.6301*-54.\nAnswer: -412.0254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5 - f**2 + 7 + 4*f**3 - 8 - 12*f**3. Let o be r(4). Let m = 63 - o. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 50*l**2 - 15*l - 10. Let b(r) = 100*r**2 - 27*r - 18. Let t(g) = -5*b(g) + 9*p(g). Let x(f) = 20*f. Give x(t(q)).\nAnswer: -1000*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(76)*1)**2 - (-3*(sqrt(76) - (-1*sqrt(76) + sqrt(76))))**2 - (-1 + 2*sqrt(76))*2.\nAnswer: -910 - 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 + 90 = -17*s + 164 for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -66\/19, 509\/2, -3?\nAnswer: 509\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -368*z + 766. Give l(4).\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015395 to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1127.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 165*k - 33 = -170*k, 0 = -4*d - 5*k + 39 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7496*p - 12243*p - 9608*p - 7996*p + 8006*p.\nAnswer: -29337*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 6 = 3*v. Let k = 5 - v. Factor -2*g + 4*g - 2*g - g**2 + 2*g**k - g**4.\nAnswer: -g**2*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 7. Let y be -2 + (-10)\/(-6)*1. Which is the nearest to m? (a) 1\/2 (b) -0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5765 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001100010110 (base 2) in base 3?\nAnswer: 212120002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**4\/6 - w**3\/2 - 3*w**2 - w. Suppose 31*f - 4*o = 32*f - 13, -18 = 2*f - 3*o. Does 7 divide q(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o - 3. Let p be c(3). Let f be 516\/10 - 12\/p. Suppose -f = g - 3*g. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 342874*f + 3771610. Give p(-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -8c94564?\nAnswer: -8c94569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98 in 0.9, -2\/9, 0.67, -11.5, -1\/3?\nAnswer: -11.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -279.21 - -277. Let o = 2.8 + p. What is o rounded to two dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 622229832?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 3*d**2 - 3*d + 2. Let w be i(2). Let j = w + 3. Solve j*n = -0 + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 532.4 and 743644.\nAnswer: 744176.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 + 0 + -12 + 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-41)\/y)\/(y\/(y**(-24)*y*y)))\/(y*y**(19\/2)*y\/y**(-11\/7)*y) assuming y is positive.\nAnswer: y**(-1079\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 4. Let y be 20\/(-15)*1*g. What is the second derivative of 4*n - 2*n - 7*n**y - 4*n wrt n?\nAnswer: -84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3 = -5. Let c(p) = p**2 - 7*p - 3. What is the units digit of c(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 156657*l - 156694*l + 888 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m + 23. Suppose 1 - 13 = -3*v. Suppose w + 1 = 0, 0 = v*n + 3*w + 19 + 12. Let t be o(n). Solve t*z = 7 + 1 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -37*k**2 + 4*k - 4. Let w(m) = -147*m**2 + 15*m - 15. Let p(z) = -z**3 - 9*z**2 + 113*z + 1. Let a be p(-16). Calculate a*u(d) + 4*w(d).\nAnswer: -33*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 964, 980, 998, 1018, 1040, 1064, 1090?\n\"Answer: f**2 + 13*f + 950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 182\/(-147)*-4 - 10\/2. Which is greater: 2\/5 or k?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16191 or -437192\/27?\nAnswer: -437192\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + a - 20 = 0, 599*x = 595*x + 4*a - 56 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of -31*m**5\/12 + 199*m**3\/3 - 177. Let z(j) be the third derivative of g(j). Let l(s) = -2*s. Calculate z(l(d)).\nAnswer: 620*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000001010000010110 + -1101?\nAnswer: 101000001010000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.578 + 1273111.3?\nAnswer: 1273120.878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-13 - (15 + -39 + -3 + 12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r + 16. Let b be 28\/(-4) - 2\/2. Let h = b + 12. What is the remainder when o(3) is divided by h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.376364 litres in millilitres?\nAnswer: 9376.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*b + 6 - 308*b + 155*b - 18.\nAnswer: -317*b - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15386957 (base 10) to base 3.\nAnswer: 1001221201221022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8*t - 170 = 2*v, -2*v + 94 = 2*t. Let o be 48\/(-132) - (-632)\/t. Solve -o*w = -8*w - 12 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -35*x**5\/3 - 8254*x**4\/3 + 9887*x**3\/3 + 40018*x**2\/3 - 21456*x + 7584 = 0. Calculate x.\nAnswer: -237, -12\/5, 4\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i + 2 - 1 - 3. Let q be o(2). Suppose 0 = 4*k - c - 242, 0 = -42*c + 39*c - 6. What is the greatest common divisor of k and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4469.6 rounded to the nearest 100?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(13) + -4 + (sqrt(208) + -5*sqrt(208)*1 - sqrt(208)) + sqrt(208))**2.\nAnswer: 224*sqrt(13) + 2612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -7*w - 373. Let p(r) = 238*r + 13276. Let m be p(-56). What is b(m)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-65)\/52*(-4)\/(-80). What is the fourth smallest value in -6, -1\/6, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-138)\/115)\/(1\/(-10)). Suppose 3*u = -f - 6. Let h be (-7 - u)\/(3\/(-6)). Solve -h*r = r - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucllbgeu. Give prob of sequence uc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(4*v - 2*v + 0*v) - v + v + v + (44 - 4*v - 44)*(16 - 62 - 20).\nAnswer: 263*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 n when two letters picked without replacement from snpppsppnns.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000404 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 867686.2660084 - 867705.02. Let z = c - -18.75. Let r = 0.004 + z. Round r to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 8\/287 (b) -1\/5 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = -71*r + 125 + 29 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u + 29. Let w(x) = -x**2. What is w(v(n))?\nAnswer: -36*n**2 + 348*n - 841","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*n - 0*n + 29, -4*n + 3*p + 63 = 0. Suppose -37 + 199 = 5*i - 4*g, 3*i - 54 = -3*g. Calculate the least common multiple of n and i.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 13*k. Let t = 13 + -7. Let a(f) = 2*f - t*f + 7*f. Suppose 4*i = 2*i + 4. Give i*s(c) - 9*a(c).\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-475132)\/(-56)*(2 + -2 + 2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 - 15 = 0. Let v = -4006\/11 + 364. Let m = -1 + 0. What is the closest to s in v, 2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 6:18 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24927, -49852, -74777, -99702, -124627?\nAnswer: -149552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 2952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -82428 and -1.99.\nAnswer: 164031.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 114829816741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79265528 + -30574472. Round s to the nearest 1000000.\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(833) + (sqrt(833) + 3 + sqrt(833) - sqrt(833))*6)**2 - -1*sqrt(833)*3) + -3)*5 + 4.\nAnswer: 8925*sqrt(17) + 205694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*((sqrt(931) + sqrt(931) + sqrt(931) + -4)*-3 + 4 + (sqrt(931)*-3 - sqrt(931)) + sqrt(931)))**2.\nAnswer: -3483648*sqrt(19) + 174078720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a + 71*a - 5*a - 20*a**2 - 61*a + 8*a**2 + 5*a**2.\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(2\/5)*n*n)\/(n*n**(-2\/3)\/n))\/(n\/(((n**(-2\/7)*n*n)\/n*n)\/n))**(-1\/5))\/((n**(-5)\/n*n)\/n**(-1\/4))**43 assuming n is positive.\nAnswer: n**(87097\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -66 - (-133 + -21 + 131).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 376*f + 231*f + 629*f - 63*f as u*f + q and give u.\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47836 is divided by 138.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 8) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.31 - 0.3. Let w = -0.41 + o. Let a = 13 - 13.3. What is the nearest to 0 in a, w, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12592416929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, e: 1, r: 3, o: 3, p: 5, b: 1}. Give prob of picking 1 b, 1 m, and 1 r.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 20, 2*t - t + 3*c - 23 = 0. Let u = t - 37. Let m(g) = 12*g**3 + g**2 + g - 3. What is the remainder when 27 is divided by m(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/4200 and 53\/540.\nAnswer: 37800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1397.9999997261 - 1398. What is l rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19060 by -5.\nAnswer: 3812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -648, -2604, -5866, -10434, -16308, -23488, -31974?\n\"Answer: -653*w**2 + 3*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:17 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9589, -9671, -9755, -9841, -9929, -10019?\nAnswer: -10111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3345562.\nAnswer: 2, 11, 241, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.8 (b) 0.23 (c) 1\/5 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 786695018 - 414575018. Round d to the nearest 1000000.\nAnswer: 372000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2301291059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.22 - -5.28. Let d = 5.7 - z. Which is the second smallest value? (a) 0 (b) -4\/5 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, 1, 4, -0.1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -17. Let l = h - 0. Which is the third biggest value? (a) l (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -5, -3?\n\"Answer: 2*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 354 - 94 - 130*u - 91 - 70 - 99.\nAnswer: -130*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46613 is divided by 2589.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - o - 2*p - 106, 4*p + 12 = 0. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*l + 19*l - 107*l - 165*l - 167*l.\nAnswer: -396*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2\/9 - 361694*i\/9 - 1300932.\nAnswer: -2*(i + 36137)*(5*i + 162)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = 28166950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 11, h: 3}. What is prob of picking 1 n and 2 h?\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(1\/3))\/m)\/(m\/m**(1\/5)))\/(((m\/(m\/m**19))\/m)\/m**(-15\/7)))**(-2\/75) assuming m is positive.\nAnswer: m**(4328\/7875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {u: 2, c: 2, p: 4, n: 4, t: 8}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fww when three letters picked without replacement from {w: 10, f: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/20)\/((8040\/3200)\/201).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11417 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - r + 1998 = -4*r, -1595 = -4*f - r. Calculate the remainder when f is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/9)\/(y\/(y\/y**(-6\/13)))*y**(-2\/7)\/((y*y**(1\/8))\/y*y) assuming y is positive.\nAnswer: y**(-5491\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**3 + 4*h**2 + 8*h**2 - 3*h - 13*h**2 as g*h**2 + x*h + c + a*h**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -182 (base 9) to base 15\nAnswer: -a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 154, 137, 3 in descending order.\nAnswer: 154, 137, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 34*y - 33. Let p be u(-13). Let l be (-5)\/(p\/(-32)*1\/3). Solve -5 = -l*w + 3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63413?\nAnswer: 7, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 - 4*i - 10. Suppose 2*j - 49 = m, 5*j + 4*m - 57 - 33 = 0. What is the least common multiple of w(-7) and j?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 10 = -20. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26635*y**2 + 14*y**5 - 26599*y**2 + 53194*y**2 - 8375*y wrt y.\nAnswer: 280*y**3 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -25*p - 1147. Give g(-12).\nAnswer: -847","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3)\/v**1)\/(v**(3\/4)*v**(-2)*v))\/(((v**(2\/5)\/v)\/((v*v*(v*(v*(v**(1\/12)\/v)\/v)\/v)\/v)\/v*v))\/(v*(v*v**2\/v)\/v)**(-34)) assuming v is positive.\nAnswer: v**(-1031\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7.6 (b) -126\/97 (c) 4 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 3. Let b be d(-7). Suppose 0 = -2*k + 2*z + 6, -3*z + 2 = b*k - 24. Is (-2)\/5 - (-437)\/k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 6*p. Let k(l) be the second derivative of l**7\/840 - l**4\/4 + 19*l**2\/2 + 6*l. Let q(b) be the third derivative of k(b). Calculate w(q(y)).\nAnswer: 18*y**4 - 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a gram in milligrams?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6953 = -1202*x - 17084 - 29535 for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 4*y, 0 = -4*t - 2*y - 372. Let x = -83 - t. What is the remainder when 29 is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w = -3*w - 9. Let k be w + -1 - (2 - -107). List the prime factors of -2 + -2 + 7 - k.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Suppose -5*x + 2 = 3*v, 0 = -0*v - 2*v - f*x. Suppose -4*c + 4 = 4*g, -2*g - v*c = g - 3. What is the lowest common multiple of 1 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5559, -5485, -5363, -5193?\nAnswer: -4975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 PM and 10:14 PM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 317*u**2 + 12*u + 2. Suppose -18 = -147*a + 153*a. Is g(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2270121*q**4 + 651*q + 141?\nAnswer: -27241452*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -189*h**2 + 15*h - 4. What is r(1)?\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 168911, 168912, 168913, 168914, 168915?\nAnswer: 168916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, y: 1, g: 1, n: 2}. Give prob of picking 1 n, 1 g, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101502003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35093329.\nAnswer: 35093329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3135833.\nAnswer: 3135833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-9 + 9 + -3 + 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73282 or -73357?\nAnswer: -73357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -20*a**3\/3 - 283*a**2\/2 + 2*a + 31. Let z be n(-7). Let g(s) = s**2 + s + 1. Determine g(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146009.7387ns in weeks?\nAnswer: 0.00000000024141821875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -2, 2 in decreasing order.\nAnswer: 2, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13099291368 - 9*c + 13099291368.\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3640 and 392.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5961?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -10*r - 2. Let h(p) = 30*p + 6. Let a = 210 + -221. Let y(x) = a*o(x) - 4*h(x). Calculate y(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (10 + (-4 - -4 - (0 + 2)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-1 - (-8)\/2. Suppose 8 = 2*z + 5*d, 3 + 3 = -3*z - c*d. What is the lowest common multiple of 8 and 19 - (1 + -4 - z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 55 and 605?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -513 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 7 - (6 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 21*u**2 - u + 46. Suppose -30*v = -28*v - 42. Calculate the remainder when 72 is divided by o(v).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-3\/5)\/(r**(1\/6)*r*r)*r*r**(-1)\/r*r*r*r**(-2\/9) assuming r is positive.\nAnswer: r**(-179\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 1527*z + 567. Let t(j) = 114. Give 5*t(o) - v(o).\nAnswer: -1527*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from azzkazffaa?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -628, -1431, -2234, -3037?\n\"Answer: -803*l + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 128*m + 881. Let k be i(-58). What is the highest common factor of k and 122?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**3 - 6*a**2 - 21*a - 6.\nAnswer: 3*(a - 2)*(a + 1)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4312 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1121120120 (base 3) in base 2?\nAnswer: 111110000010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 5:49 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 235696598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/14 in -36, -0.5, -5, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -381*r - 346924 + 336256 for r.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1925911 (base 10) to base 13.\nAnswer: 5257c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0*g = -12. Let a = g - 1. Suppose a*m - 62 = -4*k, -5*m - 1 = -4*k + 2*k. What is the highest common factor of 52 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*(0 + sqrt(475) + 4))**2 + (3 + -6*sqrt(475)*-2)*-6.\nAnswer: 35640*sqrt(19) + 441882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 149.9 - 150. What is the closest to -0.1 in g, -4, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 543 = -13*u + 15*u, j = -u + 289. What is the greatest common divisor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eheyhyjsekykeshj. What is prob of picking 1 y, 1 h, and 2 k?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*q + 66 + 77, 3*q = 2*x - 137. Calculate the lowest common multiple of 52 and x.\nAnswer: 1820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14242 is divided by 93?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 4:07 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0*i + 2*z, -12 = 3*z. Let v = i + -1. Suppose -5*d = v*p + 3, -2*p + 2 = 5*d - 4*p. Let m(k) = k**2 - k + 7. Determine m(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -r**7\/42 + r**5\/12 + 11*r**2\/2 + 22*r. Let p(a) be the first derivative of q(a). Determine f so that p(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 78 + -78.00000012. What is d rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000205928815 to five decimal places.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 2:09 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/42 + 1047\/21. Suppose c - 3*k = y, 8*c - 3*k - 173 = 4*c. What is the remainder when c is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysyyygkyykysysysyk. What is prob of sequence kks?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 2:20 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1085*a + 1082*a - 2*a**2 + 7*a**2 + 2*a**2.\nAnswer: 7*a**2 - 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 7)*135\/1890?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-39)\/6 - 1)*16368\/(-310)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 358199 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - 530*d**2 - 543*d - 285962. Calculate p(-266).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.114 + 1.046. Let v = y - 1.26. Let f = 159\/7 - 23. What is the biggest value in v, f, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**5\/20 + x**2\/2 - 882*x. Let g(s) = 4*s**3 - 2*s**2 - 3. Give -g(i) + 3*v(i).\nAnswer: -i**3 + 2*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 12:16 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0 + 4. Let s = 65 - 45. What is the least common multiple of t and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -6. Let t = 38.63 + -6.93. Let r = t + -31.2. What is the third smallest value in r, -3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*((a\/(a**(-14)*a))\/a)\/a)\/(a\/a**(-5)))\/((a*a\/a**5)\/(a*a**(2\/39))) assuming a is positive.\nAnswer: a**(431\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*k**4 + 615*k**3 - 235*k**2 - 355*k - 70 = 0.\nAnswer: -14, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222283 (base 9) to base 5.\nAnswer: 13223130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/496 bigger than -1306?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 104848965 to the power of 1\/2, to the nearest integer?\nAnswer: 10240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, t: 2, x: 1, h: 1, y: 4}. What is prob of picking 1 c and 1 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3*y + 66. Let q be -6*(-6 + (-87)\/(-9)). Determine z(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 231, 217, 199, 183, 175?\n\"Answer: v**3 - 8*v**2 + 3*v + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5996262 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from laqaallllmqqql. What is prob of picking 1 q and 1 m?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5031426 to the power of 1\/3, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + 250585?\nAnswer: 250590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90362725 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o - 2 = 14*o. Let j = 2\/115 - 139\/1380. Which is the third biggest value? (a) j (b) o (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 11 - 3) + 0 + -3 + -12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-52)\/8 + (-1)\/(-2). Let u(k) = -13*k**3 - 79*k**2 + 5*k + 12. Let c(m) = 12*m**3 + 73*m**2 - 4*m - 10. Let r(t) = 12*c(t) + 11*u(t). What is r(b)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 45024?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/594 and -32\/2673?\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -6*o. Let s(i) = -9*i - 132. Determine -s(d) + 2*w(d).\nAnswer: -3*d + 132","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1076 divided by 4.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 317 divide 15216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millisecond in microseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -5*v**3 + 8*v - 8. Let w(u) = -u + 1. Determine -5*p(x) - 40*w(x).\nAnswer: 25*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*a - 7*a. Solve g + 6 = a for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38 or 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15181017 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -2, 0.015?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 25*d. Let o be w(-25). Suppose -3*x = 3*b - 726, -4*x + o*b + 932 = -5*b. What are the prime factors of x?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 76 and 799871652.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 15 (c) 30 (d) -4 (e) 92 (f) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3289077888 a multiple of 1416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8599*w = -8204*w + 2765 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.6461437 rounded to 1 decimal place?\nAnswer: 9.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(1377) + -1*sqrt(1377) + sqrt(1377) + -4)**2 - (sqrt(1377)*1)**2*-5)*6 + 5.\nAnswer: -2160*sqrt(17) + 248345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 151731 and 805.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -962*2899\nAnswer: -2788838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.276 to two dps.\nAnswer: 1.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 PM and 12:18 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2 + ((1*sqrt(180) + 4)**2 - sqrt(180)) + (sqrt(180) + -2 + sqrt(180) + -1 + sqrt(180))**2*5.\nAnswer: -498*sqrt(5) + 8347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h**2 - 9*h**2 + 6*h**2 to g + k*h**2 + l*h and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w - 62375*w**2 + 124749*w**2 - 62381*w**2.\nAnswer: -7*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3204600.2 to the nearest one hundred thousand.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -21, -39, -53, -63, -69, -71?\n\"Answer: 2*x**2 - 24*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 500 + -309. Let p be 2\/(-3) - (-4003)\/(-21). Let k = j + p. Put 0.4, -4, k in decreasing order.\nAnswer: 0.4, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -1\/145218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 11:57 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -0.3 (c) -1\/2 (d) -2 (e) 7 (f) 0.19 (g) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(1\/3))**(-42)\/(b\/(b**1\/b))**(-47)*((b*b**(-8)\/b)\/(b\/((b**5\/b)\/b*b)))**3 assuming b is positive.\nAnswer: b**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*x = 152*x + 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k + 1 - k**3 + 0 + 2*k**2 - k. Let i be a(-1). Suppose -d + i*p + 11 = -2*p, 10 = 2*d + 4*p. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-11))**(-15))**44 assuming t is positive.\nAnswer: t**7260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2993409, -5986819, -8980229?\n\"Answer: -2993410*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + 5.03. Let d = -11 + 13. Let r = -1 + d. Sort i, 2\/7, r in ascending order.\nAnswer: 2\/7, r, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g - 19. Let b(c) = 16*c + 96. Give -4*b(p) - 22*j(p).\nAnswer: 2*p + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/8 + 2 + 1. Let j = 16 - u. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2 - 4*z - 65. Let r be w(-5). Solve -r*f - 26 = 3*s, 3 = 3*s - 3*f - 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435744 and 3456?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 4*j - 653, 225 - 193 = 4*j. What is the remainder when 1335 is divided by q?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3078?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10562*o + 0*o**4 - 3 + 5262*o + 5257*o + 1 + o**4 - 13*o**2 to the form s*o**2 + g*o**4 + m + l*o + t*o**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 6. Let g be h(-10). Let a = -7 + g. Let t = 8 + a. Is t < -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - (-6)\/4. Let o = -6.26 + 0.06. Let s = o + 6. Which is the nearest to s? (a) 0 (b) g (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2063063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 6061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 55 = -2*p. Find the common denominator of -61\/3 and 3 + 13\/p + -1.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 51 = -3*z + 77, 0 = 2*z - 5*q - 47. Is 12 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.50749 millilitres in litres?\nAnswer: 0.07950749","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240395353.\nAnswer: 11, 19, 1150217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 4 - (-9 - (-1 - 3)). Solve -5*k + y + 8 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21761447 to the power of 1\/2, to the nearest integer?\nAnswer: 4665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2*d + 1 = 3, 4*d - 20 = 0. Suppose 2 = y*i - 6*u + 4*u, -5*u = -5. Suppose i*z = -z + 198. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8*v + 5*b + 74 = 0, -17 = v + 2*b. Let w(z) = z + 1. Let g(q) = 21. What is v*w(k) + g(k)?\nAnswer: -21*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 1\/4, 2, 1.1, 9, -1\/373?\nAnswer: -1\/373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**2 + 12830*t + 8230445 = 0.\nAnswer: -1283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (367 + 134 + 125)*(-2*k + 2*k + 2*k).\nAnswer: 1252*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-10))\/(2\/10). Suppose 0 - k = -3*t. Let y = -17032 - -17034. Solve 0 = -y*s - t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (-1*sqrt(2)*-2)**2)*3.\nAnswer: 3*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jllqjpqrpjlqsjjrrjq. Give prob of picking 1 s and 1 r.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f\/(f*f**1))\/f))*f)**12\/(f**(-8)*f**7)*(f**(2\/35)\/(f*f**(-9)))**(1\/55) assuming f is positive.\nAnswer: f**(-20893\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 8 - -6 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 15*k - 36 - 7 - 15 + 3*k as b*k + u and give u.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 19763, 40374, 60983, 81590, 102195?\n\"Answer: -k**2 + 20614*k - 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 112988948*p**3 - 24432509*p.\nAnswer: 677933688*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 9431890?\nAnswer: -9431891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 135429? (a) -51 (b) 3 (c) 0.23 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*f - 5*y - 22, -5*y - 8 = 2*f - 6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3*(-10)\/33 - -1. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -1\/8 (c) -0.1 (d) -0.32 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*a + 38*a = 2*a + 250 for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*x + 8 = -0*d, -3*d - x - 24 = 0. Let h(u) = 5*u - 6. Let p(w) be the first derivative of 36 + 3\/2*w**2 - 4*w. Give d*p(l) + 5*h(l).\nAnswer: l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2, 15, -206, 0.1, -16, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18245?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298229240 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1831, 1783, 1653, 1399, 979?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6654 from -3.\nAnswer: -3.6654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46027838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308 is divided by (19 - 666\/36)\/(((-9)\/(-402))\/3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, h: 9}. What is prob of picking 3 h and 1 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + (0 - 2) + 6. Let h be 11 + f + 4 + -4. Let w be 24\/3 - h\/4. Which is greater: w or 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.8 + -0.2. Let v = n - -5. Let t = -6 - v. Which is the second biggest value? (a) -4 (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 9*p**2 + 2. Let a be (2\/3)\/((-4)\/54). Calculate q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -472 by 11.\nAnswer: -472\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 1087, 0.04 in ascending order.\nAnswer: 0.04, 2\/9, 1087","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 147588 and 10?\nAnswer: 737940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/(-2) - (-1)\/(-2). Let v = 1 + a. Differentiate u - 1 + 0 - v*u wrt u.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 8:20 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8514?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**2 - b**4 + 0*b**2 + (19*b**2 + 21*b**2 + 7*b**2)*(-2*b**2 + 2*b**2 + b**2).\nAnswer: 46*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h - 16. Suppose -3*a - 4*w + 25 = 0, 4 = -a - 4*w + 7. What is the units digit of r(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z + 37. Let n(f) = -2*f - 38. Let r be n(-16). What is the units digit of j(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -28 and -24813337.\nAnswer: -24813365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.534866 tonnes to milligrams.\nAnswer: 2534866000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/2530664 and 121\/230900.\nAnswer: 63266600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 8*y - 34. Let h(w) = 237 - 477 + 2*w + 241. Let c(k) = -b(k) + 8*h(k). Suppose c(n) = 0. What is n?\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2 (b) -257 (c) -0.023 (d) 1\/5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -319*f**5 + 819*f.\nAnswer: -6380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -2, -4, -173 in decreasing order.\nAnswer: -2, -4, -49, -173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5\/(5\/(-3)) + 8. What is the units digit of 3\/(-12)*0 + j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (112\/(-3))\/(11374\/(-66)). Let g = t - -24\/47. Which is bigger: g or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 1032. Is j(-67) a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -y - 35. Let d be (-6 + y)*-1*1. Let p be -5 - -4 - 2\/(-6). Which is smaller: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9*-4 + 12\/(-12). Let p = g - -47. What is the lowest common multiple of p and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 4950.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 u when three letters picked without replacement from {u: 3, c: 1, m: 1, e: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -11. Let j = -76 - -75. Sort m, 15, j in descending order.\nAnswer: 15, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, 8\/75, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(10*h**3 - 26*h**3 + 5*h**3 - 2).\nAnswer: -22*h**3 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*z + 0*z - 12 = 0, -4*i - 4 = -z. Which is the third biggest value? (a) i (b) 0.2 (c) 0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.85 - -0.15. Let x = -6 + h. Let i = -7 + x. What is the smallest value in i, -0.2, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 305\/8 + -52163\/1368. Calculate the common denominator of 7\/209 and a.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-7)*(-21)\/6. Put 2, g, -1, 3 in decreasing order.\nAnswer: g, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/((-9)\/2 - -5*1). Let s be ((-2)\/41)\/((-51)\/425). Let i = s - 3\/41. Which is the closest to i? (a) -0.1 (b) 1\/3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 922*q**4*r + 15*q**4 + 1368137*r wrt q?\nAnswer: 3688*q**3*r + 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63810 and 35450.\nAnswer: 319050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 12. Solve s = 5*k - 4 - 21 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -673705, -2693333, -6059381, -10771849, -16830737, -24236045, -32987773?\nAnswer: -43085921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2129 - 3270. Let p = f - -4593\/4. What is the common denominator of p and 6\/(-21) + 1282\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 1)*(3*l - 3*l - l**2) + 16933 - 16933 - 1673*l**2.\nAnswer: -1674*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12644 divided by 3.\nAnswer: 12644\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 3*t + 8*t + 493, 3*t = -4*n - 1007. Let k = n + 268. Calculate the remainder when k is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002309 to seven dps.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 15 = 0, -3*m + 4*t + 1520 = m. Let x = -171 + m. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u - 39. Let f be d(18). Is f + 0 - (-70)\/1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -h + 5*j, -3*h + h - 2*j + 172 = 0. Let r = h - -49. Does 58 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3997765767 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*q)*(-3 + 3 - 5*q)*(-q**2 - 180 - 8*q + 180).\nAnswer: -10*q**4 - 80*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 3:11 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 68552\/314798*(-753)\/(-4) + -41\nAnswer: -2\/349","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 0.9 (c) -1991 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-25)\/100 + 309\/4. Suppose 0 = -11*y + d + 11. Let w be (y\/(-924) - 0)\/2. Is -1 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -4244, -8503, -12778, -17069, -21376, -25699?\n\"Answer: -8*m**2 - 4235*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a year in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 - 21 + 15*l - 28 + 0*l**3 + 51 + 2*l**2 as t*l**3 + u*l**2 + y*l + z and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/56 of a week?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 140554?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is 179.9768um in millimeters?\nAnswer: 0.1799768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 26149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 216133 and 216135 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3.72 (b) -0.1 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 32.94115 decades?\nAnswer: 329.4115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*r**2 + 2*r**2 + 12*r**2 + 98*r**2 + 19*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 477 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2660824 by -1.\nAnswer: -2660824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 + 33. Let a be 1\/6 + (y - 500\/(-24)). What is the second derivative of 23*t + 9*t**4 - 40*t + a*t wrt t?\nAnswer: 108*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -279904 - -2?\nAnswer: -279902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + 6*l - 21. Suppose -3*q + 12 = 0, 4*y - 2*q + 29 = 45. What is b(y)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -12, 5*q + 358 = 4*b - 315. What is the hundreds digit of b + 2 - (-10 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 15 - 4 - 4*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*t + 33, 2*i - 6*i - 44 = -2*t. Let d be (6\/i)\/(2\/(-21)). Solve -4*v + d = 3 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1\/2*2. Let l be (1 - h)\/((-2)\/12). Let d = l + 24. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + 111*g - 111*g + 11*g**2.\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 720461150 is divided by 232?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 2*t**4 + 131 - 16*t**2 - 4\/5*t**5 + 0*t + 16\/3*t**3. Factor x(r).\nAnswer: -4*r*(r - 2)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-41885)\/4*(1 - (-241)\/(-50)). Let k = v - 39998. Calculate the common denominator of k and 63\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 - 4*s + 1. Let g(a) = 5*a**2 - 3*a + 25. What is -3*b(l) + g(l)?\nAnswer: 2*l**2 + 9*l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5123843l in millilitres?\nAnswer: 512.3843","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 74, 105, 128, 149, 174?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -22. Suppose -4*n + 12 = -m*n. Solve f - n = -2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*w = 19*w - 20. Let s(a) = -6*a**2 - 27. Let k(b) = b**2 + 4. What is w*s(g) - 27*k(g)?\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 8*q + 3. Let m(i) = i. Suppose 5 + 7 = -3*h. Let o(b) = h*m(b) + t(b). Solve o(a) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.02? (a) 2\/9 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 547, 551, 555, 559, 563?\n\"Answer: 4*s + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h**2 - 2*h + 2. Let j be r(2). Suppose -j*a = -a - 32. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -2, 36, 90, 166, 270, 408?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, 16, -30 in ascending order.\nAnswer: -30, 0, 2, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2 - 37271*d + 36238*d in the form x*d + j and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 31. Suppose j + 6 = 7*s. What is the highest common factor of 8 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 k, and 1 w when four letters picked without replacement from kwwgtgwwtwwwgxswst?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7502 is divided by 36.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 53891103*p**3 + 11976583*p.\nAnswer: 323346618*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from kkkllnnlpnlpnnpllln.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 16*r**2. Let j(t) = t**2 + 12*t + 10. Let s be j(-11). Let z be (0 - 1) + (-3)\/s. Let f(c) = 7*c**z - 5*c**2 - 4*c**2. Calculate f(h(u)).\nAnswer: -512*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.4 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*k - 2 = 766*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -28107109?\nAnswer: 5\/28107109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 4532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -39 - 33. Suppose 21 - 5 = v. Calculate the smallest common multiple of v and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18710 - 18708. Solve -23*q - t = -20*q + 11, -8 = -q + w*t for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -5368 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*b - z + 4, 3*b + 4*z = 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1188\/(-891))\/(22\/3)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/20 and -17\/20408?\nAnswer: 102040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -14. Let q = 400 - 396. Which is the third biggest value? (a) 1\/11 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (224\/70 + -3)\/((-6)\/(-450))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 182, 690, 1514, 2636, 4038?\n\"Answer: -3*d**3 + 176*d**2 + d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a meter in centimeters?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*p - 351 - 356 = 0 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27873 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46587, 46158, 45721, 45276, 44823, 44362?\nAnswer: 43893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 6. Let p be u(-5). Let t(w) = -77 + 151 - 77 + p*w. Let v(x) = -4*x + 13*x - 11*x + 7 - 6*x. Calculate -7*t(i) - 3*v(i).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 m when two letters picked without replacement from ynnyyyyymmyvuy?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + 0.3. Let f = -319.917 - -317.5. Let l = -0.417 - f. What is the second biggest value in b, l, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-5))\/(p\/(p*p**(-4))))\/(p**(-7)\/p*(p\/(p\/((p\/(p\/(p*p**(-2))))\/p*p)))\/p))**(5\/8) assuming p is positive.\nAnswer: p**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-14) + (-3 - (-9344)\/28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-26)*x)\/(x\/x**(-16))*(x\/(x*x**(-3))*x*x)**(4\/9) assuming x is positive.\nAnswer: x**(-358\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -81 - -86. Let v = -0.01 + -0.99. What is the third biggest value in v, 0.2, o?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*s + 2. Let x be (s\/4)\/((-6)\/(-924)). What is the tens digit of (1 + x)*(-4)\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -52*(-15)\/(-6)*5\/(-25)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((99\/(-17380))\/(6\/(-10)))\/(12\/(-16))*2\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.0381 times -3\nAnswer: -0.1143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 w when three letters picked without replacement from swspsspwpwsssp?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ade3 - -32?\nAnswer: ae25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**2)**(-5\/13))**(12\/7))**(-43) assuming d is positive.\nAnswer: d**(5160\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 2134.\nAnswer: -3\/2134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*i - 10. Suppose 12 = i*l - 3*a, l - 3*a = 4 - 1. Suppose l*v - 5*v + 6 = 0. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -212966121 + 504090795125\/2367. Let o = -173657323\/4734 - -36683. Let l = d - o. What is the common denominator of -143\/12 and l?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3247?\nAnswer: 17, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - ((5 - (20 + -3)) + 4 - -22)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 - -4)*11\/2. Let v be (-7 - (-2 - 2)) + 248\/2. What is the highest common factor of o and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**2 + 10280080*c + 41120240 = 0.\nAnswer: -2056012, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(4\/7)\/n)\/n)\/(n\/((n\/(n*((n**6*n)\/n)\/n)*n)\/n))*(n**(4\/5)\/n)**3 assuming n is positive.\nAnswer: n**(-281\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 532504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30c - 4?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 315920.3455 rounded to the nearest one hundred?\nAnswer: 315900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 AM and 2:51 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 15. Put -5, 16, o in decreasing order.\nAnswer: 16, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -141, 0.3, 2, 0.85, -11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -161661 and -1.9.\nAnswer: 307155.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*y + 10. Calculate the smallest common multiple of 140\/18 - 8\/(-36) and (-18)\/y + (-4)\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1\/z**(-2\/3))\/((z**3\/z)\/((z\/(((z\/((z\/(z**7*z))\/z))\/z*z*z)\/z))\/z)))\/((z**(-2\/7))**(1\/23))**(-2\/39) assuming z is positive.\nAnswer: z**(-19536\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l*l\/l**14*l*l*l*l)\/l*l**(1\/2))\/((l*l**(1\/5))\/l**11))**26 assuming l is positive.\nAnswer: l**(299\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -0.48, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 52 and 2.228?\nAnswer: 115.856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8054.983 litres to millilitres.\nAnswer: 8054983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 2*q + 4*h, 188*h = q + 187*h + 14 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-77) - (-14 + (-4560)\/(-336))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 535544496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 + 5. Suppose 5*n + 35 = 5*f, 0 = -4*f - 0*n + 2*n + 38. What is the units digit of (f\/(-14))\/(j\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 - 9*f - 1. Let h be a(-7). Suppose o - y = 13, -2*o - y + h = 2*o. What is the remainder when 43 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 190 a factor of 5119306420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38788447.\nAnswer: 79, 490993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4\/5, 2\/5, 49, -5, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1236 (b) -2\/15 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 384\/27 + (-2)\/9. Suppose 3*g = 2*c + y, -3*g + 6*g = -c + 2. What is the tens digit of ((-10)\/20)\/(g\/(-152))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66 by -445.\nAnswer: -66\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (15 - (1 - 4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186243 - 7951*y - 372487 + 186244 to h*y + s and give h.\nAnswer: -7951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38*3*-38*3\/(-342).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*b + 2*b - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 4. Suppose k = -j*k. Let i be 6 + -3 + k + 0. Solve 0 = i*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*h = 9, -57*h + 55*h - 24 = -4*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 + 0 + -1)*330\/(-275). Let t(f) = -f**3 + 3*f**2 - 7*f + 14. Let v(a) = -a**3 + 4*a**2 - 8*a + 13. Let w(g) = 4*t(g) - 5*v(g). Give w(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-14)\/((-154)\/33))\/(-1). Suppose 190*p + 20 = 185*p. Sort 4, 3, p, w.\nAnswer: p, w, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 4*c**2 + 16*c - 11. Determine m(-8).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/12)\/q)**(-3\/23) assuming q is positive.\nAnswer: q**(11\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 4, 1385, 0.07?\nAnswer: 1385","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -59, -10, 4 in decreasing order.\nAnswer: 4, 1, -10, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*t + 42. What is the lowest common multiple of 7*(-2 + 48\/t) and 32?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/2521 (b) 982 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -8 + 6 - -1 - -5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 2*w - 2. Let o be p(-5). Let c = o - 18. Let y = -1 - -1. What is the third biggest value in y, 1\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6*(-27)\/6. Solve 5*p - 10 = -5*h, h = l*h - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -280*h - 42851 = 115*h + 192*h for h.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -f**6\/18 + 7*f**5\/15 + 3*f**4\/4 - 7*f**3\/9 - 4*f**2\/3 - 806. Find z, given that n(z) = 0.\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.3112 (b) -3 (c) 2\/5 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10851 - 23459 = 197*h for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/3*358*(-3)\/(-2). Let l = v - -4357\/3. Calculate the common denominator of 46\/11 and l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - 0)*-11 - 3. Let v(m) = -m**2 + 9*m - 6. Let f be v(x). Differentiate -2*r + f*r - r + 3 wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5 and -11\/698.\nAnswer: 3490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2419042455?\nAnswer: 3, 5, 17, 1054049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*z - 3748*z**3 + 2*z**4 + 1879*z**3 + z**2 + 1870*z**3 to the form x*z**3 + q + g*z**4 + h*z**2 + f*z and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of z**6\/120 + 19*z**5\/60 - 31*z**4\/24 + z**3\/3 + 12*z**2 + 3. Find the second derivative of i(x) wrt x.\nAnswer: 6*x + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + h + 226 = 0, -4*g - 5*h = g - 1110. Suppose j = -3*a - a + 88, 3*j + 2*a = g. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 - 5*r**2 - 8*r - 12. Let z = 2 + -6. Let p be x(z). Solve -u = -0 - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 83552 by -373.\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 4*i + 212. Let a be o(-13). What is the closest to 1 in -1, 9, -5, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(17\/(-431120)*5)?\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 + 15*n + 20. Suppose -3*t = -2*t - 16. Give x(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 15*x**2 + 318*x - 67. Give f(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - 30 - (-230 + 196)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + 1)**2 - sqrt(720))*6.\nAnswer: 72*sqrt(5) + 4326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 0) + 15 + -56.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**2 - 1311090*q + 85947849405.\nAnswer: 5*(q - 131109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 82059.35cm in nanometers?\nAnswer: 820593500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 - 7*i**2 - 2*i + 10. Let u be v(-7). Let l = -695 + u. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -180, -200, -220, -240?\n\"Answer: -20*m - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*g + 9*g + 10*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 h when two letters picked without replacement from {t: 6, f: 3, h: 1, o: 2}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 42*m + 0 + 0*m**2 + 1\/4*m**3 + 1\/24*m**4. Factor i(r).\nAnswer: r*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 2*d + 12. Let o be j(-8). Suppose -3*u - 4*p = -0*p - 139, 2*u - o = -2*p. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/18*(-10)\/(-5))\/((-9)\/81).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 261 = 19. Does 14 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/4 and (268\/70)\/(70\/(-6)*672\/(-784))?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n + b - 4*b - 12, 59 - 54 = -5*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4*x - 9 = 0, -6*d = -7*d - x - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4268, 19791, 45662, 81881?\n\"Answer: 5174*i**2 + i - 907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - -13 - 16 - -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 1, f: 1, s: 1, u: 1, n: 1}. What is prob of sequence naub?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 98, 217, 394, 635, 946, 1333, 1802?\nAnswer: 2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 154980 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w**3 - 289*w**2 - 4772*w - 1175 = 0. What is w?\nAnswer: -47, -25, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2682853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10180540 divided by 1.\nAnswer: -10180540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1746 * 5.\nAnswer: 8730","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 166745184 to the power of 1\/2, to the nearest integer?\nAnswer: 12913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100002 - 0?\nAnswer: 100002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 97 = -12*u. Solve -8 = -4*y + u for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**33*c)*c*(c**(-2\/103)*c)\/c assuming c is positive.\nAnswer: c**(-3298\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 686 + -676. Let b(q) = -q**3 + 4*q + 5. Let n = 29 - 31. Let h be b(n). Solve 3*o - o - 4 = r, -h*o + l = -3*r for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3010, -42, 5, -5, 3 in decreasing order.\nAnswer: 5, 3, -5, -42, -3010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) 565 (c) -1\/100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -102 + 99 + 738*z**3 + 3*z - 151*z**3 - z**2. What is the units digit of c(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1.252, -0.6, -710?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 - 2*w**3 - 4*w**3)*(-3875*w + 0 + 1384*w - 6046*w + 0 - 1646*w).\nAnswer: 30549*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8516323 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2451397915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1043*o**3*v - 2*o**2*v + o - 32*v - 23 wrt o.\nAnswer: -6258*o*v - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -1912\/21. Let k = 109\/84 + j. Which is the third biggest value? (a) 4 (b) k (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 7055406?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 979072 is divided by 9332.\nAnswer: 8544","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3000548 is divided by 89.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 584388.344 rounded to the nearest ten?\nAnswer: 584390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5515, -10965, -16347, -21625, -26763, -31725, -36475?\nAnswer: -40977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 1827, 2\/15, -2\/13, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*-1*sqrt(121)*-6)\/(6*((sqrt(176)\/sqrt(4))\/sqrt(4) - (sqrt(121)\/(sqrt(11)*-2) - sqrt(11)))).\nAnswer: 36*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 + -0.5. Let l(v) = 89 + v + 0*v - 90. Let t be l(-2). What is the closest to f in -1\/2, -2, t?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 - 75 = -6*x. Let y(n) = 7*n**2 + 2*n + 2. Let a be y(-2). Suppose -z = -2*r + x, -3*z = -r - 2*z + a. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7349320?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3a1630 (base 11) to base 4\nAnswer: -2122031211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**11)\/k*k**(-14))\/(k\/(k*k**(-2\/31))*k*k**(-7\/9)))**42 assuming k is positive.\nAnswer: k**(-98770\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -1\/40*l**6 + 0 - 1\/20*l**5 + 0*l + 1\/8*l**4 - 11*l**2 + 1\/70*l**7 + 0*l**3. Solve o(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 176 - 171. Suppose j*r + 209 = 1179. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 14, -4, -655\/2, 0.1, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(931) + 2)**2 + ((sqrt(931) + -2)*4)**2 + 5.\nAnswer: -168*sqrt(19) + 108069","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -307159530\/6641 - -46252. Are 0 and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5571*p**4 - 2277*p**4 - 4454 - 922*p**4 wrt p?\nAnswer: 9488*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/10 and 119\/178284?\nAnswer: 891420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2630, 815, -1 in descending order.\nAnswer: 815, 0, -1, -3, -2630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 6*a**2 - a + 12. Let k be j(5). Suppose -l + 9*l - k = 0. Suppose 0 = 3*c - o - 0*o - 128, -l*c + 4*o = -176. Is c a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezqvvezhzzvzzvee. Give prob of picking 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = 4*s - 923, 2*a = -3*s + 617. Suppose -a*u - 40 = -306*u. Solve -2*z + u = -0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + o = 0, 4*o = 8*d - 4*d. Suppose -5*l + 3*w = 8, -3*l + d*w - 4*w + 1 = 0. What is the units digit of -4*l*(3 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**2 + 6*g + 4. Give t(3).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(-9) - (1 + 0))*(-1221)\/814. Solve -5 = -r + 2*g + b, r + g = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 4)*(-833 + 46 + 146)*(1 - 4*k - 1) in the form o + g*k and give g.\nAnswer: 7692","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 78*r**2 - 41*r - 3160. Give s(-78).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -78*m. Let z(x) = -1 + 1 + 6*x - 8*x. What is z(t(b))?\nAnswer: 156*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 5:29 AM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - 6*g + 15*g - 10*g + 44*g**2 in the form u*g**2 + v + l*g and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32\/13 (b) 0.7 (c) -3 (d) 2\/337 (e) -3.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*d - 33. Let k = -709 - -710. What is the highest common divisor of k and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -227565 and -227565 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 34, 5, 0.06, 0.1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, -10, -9\/500, -0.1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -135 - -374?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 451 + -230.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 543922930?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 290347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 811.019412 seconds?\nAnswer: 0.00134097125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2731168 is divided by 41379?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -894400 or -894399?\nAnswer: -894400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*g**2*k**3 + 66991*g**2*k**2 - 44941*g*k**3 + 526*g*k**2 - k**3 wrt k.\nAnswer: -48*g**2 - 269646*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 9*x**2 - 9*x + 9. Suppose 112*a - 121*a = 0. Suppose 44*r - 44 = -a. Let g(k) = k**3 + k**2 - k + 1. Give r*n(q) - 9*g(q).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20))\/((14\/(-7))\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -5*n**3 - n**2 + 43*n - 2. Does 73 divide f(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*a = -12, j - 2*a = -0 + 2. Suppose 2*b - c + 4 = 3*b, -16 = -b + 5*c. Calculate the greatest common factor of j and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*b + 59 = 2*n, -5*b = 3*n - 135. Suppose -72 = -l - 3*t, -t - 213 + 62 = -2*l. Calculate the highest common factor of l and n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/8 (b) 2\/3 (c) 9 (d) 3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) - (-7026)\/(-40985)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76748.706 rounded to the nearest 1000?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001 + -1111010100?\nAnswer: -1111011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -124*(-7)\/308 + (-2)\/(-11). Let f(u) be the first derivative of 2\/3*u**3 - g - u**2 + 0*u. Let f(d) = 0. Calculate d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Let q = 13 - 3. Let p = q - 6. Put p, 0, o in descending order.\nAnswer: p, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0 + 0*x**2 + 0*x**5 + 0*x**4 + 2*x + 1\/15*x**6 - 1\/6*x**3. Find the second derivative of b(p) wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -292184390*l**6 + 106793*l**2 + 3*l + 354.\nAnswer: -35062126800*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 12:27 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*y**2 - 1510*y - 13185 = 0. What is y?\nAnswer: -293, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6709 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 15*p**2 - 16*p + 10. Let b(i) = -2*i**2 - 2. Determine 5*b(r) + n(r).\nAnswer: 5*r**2 - 16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 2*f. Let s(o) = o**3 - 5*o**2 - 5*o. Suppose 8*b - 8 = 32. Suppose 0 = 4*n + 10 - 2. Give b*w(x) + n*s(x).\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2067 = 2062 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, -1, -4 in decreasing order.\nAnswer: -1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -808aa53 - 3?\nAnswer: -808aa56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 273817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 166, 167, 168, 169, 170?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 2. Let i = -69 + 72. What is the third derivative of -50 + 50 - i*k**2 - 3*k**5 - x*k**2 wrt k?\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -26, -24, -24, -26, -30?\n\"Answer: -s**2 + 5*s - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - z - 7. Let r be 3 - 2*2\/4. Let d be 1\/r - 9\/(-2). Is w(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 47 = -2*f, 5*f + o + 5 = 19 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 14*l = -287 + 27 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 206*s**2. Let r(n) = 46*n**2. What is i(r(h))?\nAnswer: 435896*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23280420 is divided by 1539?\nAnswer: 1506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8272 - 8272 + 10*o**3.\nAnswer: 10*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18.87563 millennia to months.\nAnswer: 226507.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 295653 (base 14) to base 9\nAnswer: 2628276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 956*m - 772*m + 609*m + 0*m + 3*m - m + (-2*m - 4*m + 3*m)*(-4 + 1 + 2).\nAnswer: 798*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 149987052 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 7 + 4*a + 2 - 9 + 276562*a**2. Let q be k(8). Round q to the nearest one million.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1716 is divided by 94.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l + 13*l = 5*v + 1, -l + v = -10. Solve -l = 3*w + 2 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304760 rounded to the nearest 1000?\nAnswer: 305000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 25 - 19 = 0. Let y = 5 - c. Calculate the greatest common divisor of y and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/17, -1\/9, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57401 - -57419. Let y(v) = 3*v. Calculate the lowest common multiple of y(2) and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -6*a. Let l(g) = -638*g**2 + 2003*g. What is b(l(p))?\nAnswer: 3828*p**2 - 12018*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79040 and 5434?\nAnswer: 869440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 divided by 16?\nAnswer: -535\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*p = -3, 5*d = 2*d + 2*p - 4. Let z = -4 + 1. Sort 2, d, z in descending order.\nAnswer: 2, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11230.\nAnswer: 2, 5, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + 225*y**2 - 442*y - 1057. What is l(223)?\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*z + 2 + 0*z**2 - 3 + 2 - 4*z**2.\nAnswer: -4*z**2 + 57*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9142, -18516, -27902, -37306, -46734?\nAnswer: -56192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3694 is divided by (-27)\/((-162)\/(-8)) + 1398\/9.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g + 300000 = 12*g. What is g rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -25*x + 14763. Suppose -m - 20*m = -x. What is the remainder when 702 is divided by m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55 and 1435.\nAnswer: 15785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k - 24. Suppose 0 = 16*s - 17*s + k. Suppose 950 = -s*w + 8*w. Which is greater: -96 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19720 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.176 and -5.\nAnswer: -0.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**6\/90 + 11*i**5\/45 + 19*i**4\/18 + 2*i**3 + i**2\/2 - 2*i - 43. Let s(o) be the second derivative of j(o). Factor s(a).\nAnswer: 4*(a + 1)**2*(a + 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2*s + 13 + 2, j - 4*s - 9 = 0. Let c(w) = -2*w**2 + 4*w - 3. Let m(d) = 1. Let o(r) = -r - 5. Let n(y) = 6*m(y) + o(y). Give j*n(l) - c(l).\nAnswer: 2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-417 - -229) + 220 - (1 - -11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031231749 rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o + 10. Let h(v) = v**3 + 16*v**2 + v + 12. Let j be 1\/(-3) + (-1 - 44\/3). Let n be h(j). Let y be x(n). Solve -6*d + y*d = -12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 - 2*h - 2. Let f be s(-2). Let v be (9\/f + 1)*0. Suppose v = 3*z - z - 38. What are the prime factors of z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 846 and 1008.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(6*(-3)\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 18*q**2 - 27*q - 118. Give l(16).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 685687*-1.\nAnswer: -685687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 + -1121002?\nAnswer: -1121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 4*t - 3*c - 35, 0 = 5*t + 4*c. Suppose 3*p - 5 = t*x, -p + 4*x + 0*x - 9 = 0. What is the remainder when 25 is divided by p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/2, -0.424, 2\/5, -8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 12:01 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l + 16609 = -14*l - 2*c, 0 = l + c - 3326. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 3*o**3 + 2*o**2 + o - 4. Let r be p(-3). What is r rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35*((-180)\/(-35))\/18\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.31 and -0.1.\nAnswer: -0.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 30.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 52a33 (base 14) to base 16\nAnswer: 30b95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**5 - 661*m**4 - 108899*m**3 + 109561*m**2 = 0. What is m?\nAnswer: -331, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1432, -1435, -1442, -1453, -1468?\nAnswer: -1487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -765 - -831. Calculate the remainder when a is divided by 20.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of -r**3\/3 - 9*r**2\/2 - 8*r - 1. Let a be x(-7). Suppose -8 = 2*n - a*n. Solve 3*c - n = 2*i, 0*i + 3*i + 4 = 5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33353, 33354, 33355, 33356, 33357, 33358?\nAnswer: 33359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a kilometer in meters?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5410 - -5409. Let k = 1 + 0. Let m = -2 - 0. Which is the nearest to k? (a) m (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 11*m**3 + m**2. Let f be s(-1). Let o be 169\/195 + 2\/f. Which is the second smallest value? (a) -1 (b) o (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(8 - (-66)\/(-12)). What is the tens digit of 9*(127 + -1 + g\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4697, -4693, -4675, -4637, -4573?\nAnswer: -4477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 732 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -567, -9, -22\/37?\nAnswer: -567","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-46)\/14 + (-4)\/(-14). Let i = 6 + r. Let y = -4 - -4.3. What is the third biggest value in -1\/2, i, y?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6679 + -40073\/6. Factor 0 + 1\/3*i - p*i**2.\nAnswer: -i*(i - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*w + 58, 2*v + 2*w = -2*w + 32. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424934336 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (624\/512*8)\/(3\/(-16))?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -43 + 45 + 2 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 79. What is z(27)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from eeggwewwwgegbwgw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.77 + 4.23. What is the nearest to p in -2\/3, 4, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 8*q**2 + 7*q - 3. Let g be w(-10). Suppose p - g = -24. Does 9 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -14100*q**2 - 2*q. Let s(t) = -31*t. Give s(b(w)).\nAnswer: 437100*w**2 + 62*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -230232\nAnswer: -13813.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*p**3 - 90*p**3 - 109*p**3 + 323*p**3.\nAnswer: 36*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 50*a*d - 2*a + 32*d*y**2 - 5008*y**2 + 2 wrt d.\nAnswer: 50*a + 32*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -283 + -4?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = y - 2*z + 9, 0 = -3*y - z + 13. Suppose -6*n + y = -27. Suppose 57 + 238 = n*r. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**3\/3 + 4*z. Let i(n) be the third derivative of n**5\/30 + 4*n**2. Calculate f(i(l)).\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2027, 4055, 6085, 8117?\n\"Answer: f**2 + 2025*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6416*d - 6417*d + 4 + 32)*(51 - 51 - 9*d**2) in the form z*d**2 + n*d**3 + i*d + l and give z.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4*z = 1, 5*z = v - 5*v + 47*z - 663949 + 663875 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28199430*l**2 - l + 44835370 wrt l.\nAnswer: 56398860*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 24*v + 441 = 0. Let u = -25 - v. Suppose 29*b - 40 = u*b. Solve 20 = -3*f + b*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3350 is divided by 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -12*c - 3. Suppose 0 = 2*f - 5*l + 3*l + 6, 0 = -l - 2. Calculate the remainder when r(f) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/35*(-475)\/380?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12019 divided by 1.\nAnswer: -12019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/5502 and -137\/3096.\nAnswer: 2839032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68356472.\nAnswer: 2, 359, 23801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 10 = 4*o. Let w = 0.5 + -2.5. Let j = w - -1. Which is the third smallest value? (a) o (b) j (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + -10. Let h = c + -6. Solve h*a = -3*w - 2*w - 1, 3*w = 2*a - 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 216\/5 + -43. Which is the closest to 0.1? (a) 3 (b) o (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8243969\/10312172 - -11\/42263. Let g = 3\/61 + p. Which is the third biggest value? (a) 4 (b) g (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-25)*(-10)\/4*(-16)\/80\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9308*s + 13 = 9300*s - 3. What is the biggest value in s, 1.5, -2\/19, -132?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (-4)\/6*3. Suppose 5*t + 32 = -z*i + 12, 4*i + 12 = -3*t. Solve -4*d = -i*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -68, -60, -48?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by (851\/(-518))\/((-1)\/(-6))*-7?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 640424.1 rounded to the nearest 1000?\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*v + 13. Let g = 18 + v. Find the third derivative of -4*r**6 + 0*r**g + 7*r**6 - 2*r**6 - r**2 wrt r.\nAnswer: 120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15172\/311 less than or equal to 50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1254887 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 126, 289, 518, 813, 1174, 1601?\nAnswer: 2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -35.5 and -16.387336.\nAnswer: -51.887336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 216 = -90. Let v be (-21 + 23)\/(j\/(-8) - -2). Let n(f) = f**3 + 8*f**2 - 6. Give n(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-12)\/(-39)*(-44)\/88).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooy when three letters picked without replacement from {o: 3, y: 17}?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -52414.84 and -0.2.\nAnswer: 10482.968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3873 + -2?\nAnswer: -3875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2805*r - 189117 = 102603 for r.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1ee - 2837b?\nAnswer: -2857a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000 (base 2) in base 5?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 9 = 4*g - 6*g, -2*k + 6 = 5*g. Suppose -5974*n**2 - 3746*n**2 + 17505*n - 5*n**4 - 360*n**k - 524880 - 134145*n = 0. What is n?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 29 = 3*j, 77*j + 4*c = 78*j - 17. Let l(w) = w**3 - 8*w**2 - 4*w - 53. Determine l(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100096?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3251 is divided by 784.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 177737 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 17*x - 8. Let v(y) = -9*y - 51. Let w be v(-10). Let f = 51 - w. What is the hundreds digit of s(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3\/4 (b) 1\/4 (c) 2\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**8\/1680 - 38*w**4\/3 - 47*w**3\/3 + w. Let n(r) be the second derivative of j(r). Differentiate n(k) with respect to k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u - 129. Give a(25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s + 3. What are the prime factors of a(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 4*u = -5*u - 23, -5*u + 2 = -2*h. Let m = h + 2. Suppose 0 = -x + m + 2. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10416 + 10418 + (-1 + 3 + -1 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 12:03 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 40)\/(2\/(-6)*300\/50).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7183085 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l - 7732. Let t(b) = -5*b - 2576. Determine 13*t(q) - 4*z(q).\nAnswer: -q - 2560","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -96, -0.1, 0, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -2, -132, -5, 0 in increasing order.\nAnswer: -132, -5, -2, 0, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -569, -1109, -1631, -2135, -2621, -3089, -3539?\n\"Answer: 9*f**2 - 567*f - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 65483 and 35718.\nAnswer: 392898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w - 1. Let b(m) be the second derivative of -5*m**3\/3 + 11*m**2\/2 - 9*m. Let a = 15 + 7. What is a*f(d) + 2*b(d)?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 1 - 10. Let j be 0 + a\/(-15) + (-12656)\/(-35). What are the prime factors of j\/2 - (-5)\/(-10)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2401\/4 + 49\/2*l - 1\/4*l**2.\nAnswer: -(l - 49)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2154 - 2160. Let u(y) = 9*y + 29. Let b(l) = -5*l - 14. Let z(m) = 5*b(m) + 3*u(m). Let v be z(n). Sort v, 2, 3 in ascending order.\nAnswer: 2, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 15*d**3 + 1. Let k be l(1). Let i = 22 - k. Find the third derivative of 2*y**2 - 6*y**i - 4*y**2 + y**6 + 3*y**6 wrt y.\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 59317022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n - 2. Let j be q(7). Solve 0 = -0*h - h + 5*v + 15, 5*h - j = -3*v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 481 is divided by 194?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -7*p - 7*p**2 + 6 - 2*p**3 + p**3 + 0*p**3. Let t be n(-6). Let f = t + -5. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101 divided by -1\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3045650343 to three dps.\nAnswer: 0.305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -651 + 401. Let z = -73 - v. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111069 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001355 rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/2)\/(6\/8). Let n(l) = l**3 - l + 5. Suppose -3*x = -2*i - 3 - 3, 0 = -4*i - 12. Let q be n(x). Solve 0 = j + d*z - 7 - 3, q*j - 5 = -z for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 1 = 11. Suppose -q*r = -2*f - 6, 2*r - 3*f + 1 + 2 = 0. Suppose -3*y = -5*y - w + 6, -3*w + 9 = -r*y. Do y and -1\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26828833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000392463 to 5 decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, i: 1, x: 2, j: 3}. Give prob of sequence ij.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -3*r**3 + 3*r**2 + 3*r + 1. Let i be h(-1). Solve -i*w - 3 = -w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13740775 at least as big as -13740777?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*y + 1045 = -230 - 129 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230897256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -84 divided by 58285\nAnswer: -84\/58285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-7) - (-12)\/(-21). Find the second derivative of d*u + 9*u**5 - 10*u**5 - 14*u**5 + 5*u wrt u.\nAnswer: -300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1864*p + 1881*p - 247 - 127 = 0 for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 2*f**2 + 24*f - 6. What is d(-7)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185132353\/1534 - -120686. Calculate the common denominator of (-42)\/2 + (-5)\/(-20) and m.\nAnswer: 3068","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 2)*(-6*x - 7 + x + 4*x).\nAnswer: 3*x + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.44 + 0.44. Let s = 111 - 114. What is the fourth smallest value in n, s, -1, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (8 + (-19 - 2)) - -9\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12220655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4692*o**3 + 1732*o**2 - 6059895.\nAnswer: -14076*o**2 + 3464*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1.3. Let n = 262.9 - 264.2. Let m = b - n. Sort -2, 2\/5, m.\nAnswer: -2, m, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ntntntttntttn. What is prob of picking 1 n and 3 t?\nAnswer: 56\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.29, -4, -1098 in descending order.\nAnswer: -0.29, -4, -1098","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:51 PM and 11:38 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 309, 2, 5, 109 in descending order.\nAnswer: 309, 109, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 5*t - 3*d = 11, 3*d - 7 = 5*t. Let g = t + 6. Let c = 9 + -1. Solve 8 = n - 3*p + 4*p, -c = 2*n - g*p for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**5*p*(p**(-3)\/p)\/p)**(3\/5))**(5\/12))**34 assuming p is positive.\nAnswer: p**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 21*46\/(-13524) - 939\/(-14). Which is bigger: o or -76?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 10*b + 8. Let l be i(8). Suppose -3*x + 4*q - l = 0, 6*x + 3*q + 3 = 3*x. What are the prime factors of 2 - -16 - (x + 1)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 5. Let a be r(-7). Let t be a*(1 + 2)\/3. Let k be -3 - (t - (2 - 0)). Which is greater: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of n**3\/3 - n**2 - 15*n. Let t be x(2). Factor 3*w**t + 1027*w**3 - 1027*w**3 - 3*w**4.\nAnswer: -3*w**2*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -18.4. Let v = u - -90.4. Let y = v - 75.6. What is y rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*v**3 + v**5 - 12*v**3 + v**4 - 2*v**5 + 24*v + 12*v**3 - 44*v**2 - 2*v**4 = 0. What is v?\nAnswer: -6, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 PM and 11:23 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**3 + 2*i**2 - 2*i + 3. Let v(x) be the first derivative of x**4\/4 + x**3\/3 - x**2\/2 - 2462. What is -u(q) + 2*v(q)?\nAnswer: -2*q**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-9)\/(-3))\/3. What is the greatest common factor of t and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2*q - 58 = 0, 0*g = -2*g + 2*q + 34. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 5:21 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 516263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (590\/160*4)\/((-4)\/(-16))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5117874211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 121498310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 104594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2056.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 16*x**2 - 56*x - 56. Let d(a) = a + 1. Let w be (-21)\/(-42)*(326 - -10). Determine w*d(p) + 3*g(p).\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 - -126601014?\nAnswer: 126601061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21.3 - 20. Let i = h - 0.8. Which is the biggest value? (a) 3\/5 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 12 = -w. Let n be (0*4\/(-16))\/1 + 3. Factor 16*u**3 - 4*u**w + 18*u**2 - 31*u**2 - n*u**2.\nAnswer: -4*u**2*(u - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.346854us to seconds.\nAnswer: 0.000002346854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of 0 - 1\/12*o**4 - 1\/2*o**3 - o**2 + 1\/20*o**5 + 3*o. What is a(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 9488.89 minutes?\nAnswer: 569333.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 95 + 125 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4 - (8 + -9 - -1). Let d be ((-4)\/(-6))\/(6\/3). Let w be 16\/(-40)*(-10)\/(-2). Which is the nearest to 0.1? (a) w (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(768) + sqrt(648)\/sqrt(6))**2 - (sqrt(18)\/(sqrt(48)\/(sqrt(16)\/sqrt(2))))**2*2.\nAnswer: 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*w - 33*w + 14. Let r(j) = 4*j**2 + 3*j. Let m(n) be the first derivative of n**3\/3 + n**2\/2 - 5. Give w*r(u) - 6*m(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 15) to base 13\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1375)*6*-2)\/(sqrt(891)*-4 + sqrt(1331)*-4 + sqrt(1331))*-4.\nAnswer: -480*sqrt(5)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 62 and 1183061618.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**4 - 20100*u**3 - 20075*u**2 + 80400*u + 80380 = 0.\nAnswer: -4019, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 213453, 426890, 640329, 853770, 1067213, 1280658, 1494105?\n\"Answer: d**2 + 213434*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**4\/12 + v**2\/2 - v. Let a be 1\/((-2)\/((-2)\/1)) + 2. Let s(n) = 2*n**2 + 1. Calculate a*s(f) - 4*l(f).\nAnswer: 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*m - 81*m - 46*m - 1)*(3 + 1 - 2)*(-2*m + 2*m**2 + 2*m).\nAnswer: -380*m**3 - 4*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3684.015ml in litres?\nAnswer: 3.684015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12549 = -3*l - 3*r, -35*l = -30*l - r - 20903. Is l a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 57543341 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (463675\/1250)\/(4\/((-204)\/(-9))). Let f = b - 2102. Which is smaller: f or 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (((-854)\/(-21))\/2)\/(3\/27) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/8 or 8\/75?\nAnswer: 8\/75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 85 + 106 + 105 - 298 - 3840*l in the form o*l + n and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/1 - 4\/(-3). Suppose 2*i = 7*i + 6*i. Which is the second smallest value? (a) y (b) -2 (c) 1 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -1888420?\nAnswer: 1888425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14208 and 18144.\nAnswer: 2685312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15182162*l**4 - 2723*l**2 - 483.\nAnswer: 364371888*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 10 = 0, 0 = o + k - 0*k - 7. Suppose -2*i = -4 - o. What is the third derivative of -1 + 2*r**6 - 2 - 5*r**2 + i wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2c7 (base 14) to base 4.\nAnswer: 20313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 36 = -0*p. Suppose 4*c - 3*r + p = c, -2*c + 3*r = 10. What is the nearest to 0.1 in 0, c, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = y - 11, 4*z = 2*y + 14. Suppose z*p = 3*m - 65, -6*m = -5*m - 4*p - 24. Is m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by 8.\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -33*f. Let h(i) be the third derivative of 17*i**5\/20 + 1367*i**2. Determine n(h(u)).\nAnswer: -1683*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/5 + 48664*t**4\/5 - 59009626*t**3 - 11862875244*t**2\/5 - 103671030168*t\/5 + 23165780976 = 0. Calculate t.\nAnswer: -26, -15, 1, 12186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 6*d + 4 = 0, -2*r - 3*d + 26 = 0. What is the smallest value in -0.03, 0.1, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-30))\/(1\/(-2)). Let m(a) = a**2 - 4*a - 2. Let f be m(5). Suppose -3*q = g + 15, -2*g - f*g - 10 = 2*q. Which is greater: c or g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -52*d + 3910. Calculate j(81).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 4, -4, -5 in increasing order.\nAnswer: -5, -4, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 7181*z - 3976*z - 3958*z to s*z + f and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79833 to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 4*t**2 - 3*t. Let h be n(-3). Let y = -0.035 - 30.965. Let k = y + 31.1. Which is the nearest to -1? (a) 0.5 (b) k (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q = -5*q + 4. Let l = q - -12. What is the highest common divisor of 40 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_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: What is the ten thousands digit of 18033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -261\/136439 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**5 - 1720*i**4 + 46884*i**3 - 242888*i**2 - 46886*i + 244608 = 0.\nAnswer: -1, 1, 7, 21, 832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + 0*m = 120. Let w = m + -6. Suppose -4*s - 5*r = -33, 2*s = 4*s + 2*r - w. Are 1\/2 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 15. What is the remainder when (5\/k)\/((-2)\/(-258)) is divided by (11\/2)\/((-3)\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*t + 8 = -53*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51879 or -570670\/11?\nAnswer: -51879","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r + 4 = 9*r. Suppose -6 = s + s. Let d = s - -7. Is r at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 105600 * -0.3.\nAnswer: -31680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 18. Suppose z + 12 = 10. Sort z, 1, n in descending order.\nAnswer: n, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 4\/715396641?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17413128 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.4 + 2.4. Let l = -18 - o. Let m = -16.5 + l. What is the third smallest value in m, 2\/13, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 12) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -2536685.\nAnswer: 2\/2536685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j + 6. Let a be q(4). Let b be (a\/(-30) + 0)*-1. Let w(n) = n**2 + 14*n - 32. Let z be w(-16). Which is greater: z or b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111212 (base 3) to base 9\nAnswer: -1455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 1159347.\nAnswer: 13912164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 106139585 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 12, 2*a = 3*x + 5*a - 3. What is the remainder when x is divided by (-6)\/(-30) - 16\/(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31138*f - 53515000 = 31152*f. Round f to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-126)\/(-168) - (0 - (-225)\/12).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0 - 5\/8*t**4 - 131*t**2 - 4\/3*t**3 - 1\/60*t**5 + 0*t. Calculate d(-13).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(450))**2 + (sqrt(800) + 0)**2 + 4 + (0 + sqrt(20)\/(sqrt(60)\/sqrt(54) + sqrt(10) + sqrt(10)))**2*2.\nAnswer: 17382\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267 is divided by 260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y**(-3)\/y*y))**(-16) assuming y is positive.\nAnswer: y**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 + 2*m**2 - 5*m + 1. Let b be (484\/77)\/((-4)\/(-14)). Let y(l) = -2*l + 51. Let a be y(b). Suppose 15 = -2*j + a. Determine n(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101.1 times -4?\nAnswer: -404.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5389465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 818 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(-7)*-182*55\/715?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2040 + 2364. Calculate the highest common factor of t and 684.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2133*g**4 + 474*g + 7195923?\nAnswer: 8532*g**3 + 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 3:24 PM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2048478 - 2048444.0000125. Let q = 34 - a. Round q to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 138191 and -20505?\nAnswer: 158696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 727 + -129. Let l = 919 - v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 2*x**2 + 4*x**2)*(-x**3 + 3*x**3 - x**3) - 5178*x**3 + 5178*x**3 - 222 - 4*x**5.\nAnswer: -2*x**5 - 222","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -23 in 2, -157, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**3\/6 + z**2\/2 - 4*z. Let v(r) = -2*r**3 - 12*r + 12. Suppose 2*s - 8 = 16. Determine s*y(u) - v(u).\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1088029 is divided by 9231.\nAnswer: 8002","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3920 and 23800?\nAnswer: 333200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 21 + 3. What is the remainder when 23 is divided by (-3 - 2)\/(5 + c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-3)\/p))\/(p**(-4)*p*p))\/((p\/(p*p**(-3)))\/(p**3*p*p))*(p*p**(-1\/2)*p*p**1*p)\/(p*p**(-2\/7)*p)**36 assuming p is positive.\nAnswer: p**(-689\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + (-57 - (-24 - 1))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 7*o - 16. Let r(u) = 3*u**2 - 20*u - 47. Let d(i) = -3*r(i) + 8*t(i). What is the units digit of d(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*c - 98*c + 409*c - 100*c - 101*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 1 - (-1)\/(-2)*6. Let g(k) = -3*k**2 - 3*k - 3. Determine g(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7963525 and 1349750.\nAnswer: 79635250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.261 + -6.371. Round q to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4015, 3656, 3297, 2938, 2579, 2220?\n\"Answer: -359*u + 4374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216279 is divided by 992?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t + 8. Let z be m(8). Suppose -3*u - 5 = -d - 3, -4*d + 8 = -2*u. Let a = z + d. Solve 5*v + 16 + 4 = 0, -a*p - 2*v = 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3833\/3 + -1278. What is the nearest to -0.1 in i, 0, 5, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1220417*c**4 + 543182*c wrt c?\nAnswer: 14645004*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4 - 21*g - 26*g**4 + 12*g + 75*g**4 wrt g?\nAnswer: 588*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*y - 736 + 136 = -10*y. Sort -1, 5, -5, -16, y in ascending order.\nAnswer: -16, -5, -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.325 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -397094 and -0.3.\nAnswer: -397094.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 6*w**2 - 4*w + 2. Let b be k(-5). Let v be -3 + (36\/b)\/(-2). Calculate the greatest common divisor of v and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 + 3*p - 5. Let m(b) = -3*b**2 + 8*b - 14. Let x(n) = -3*m(n) + 8*u(n). Let h(k) = -2*k + 6. Let d be h(5). Let l be d*(3\/6 - 0). Give x(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9 and 0.7?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3558 and 13046?\nAnswer: 39138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6102995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 540 and 810.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2224862 times 2?\nAnswer: -4449724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yuwcuuunwucucucwcnn. Give prob of picking 2 w and 1 u.\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 330*d**6 + 4605*d**2.\nAnswer: 39600*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1384454847 to the nearest 1000000.\nAnswer: 1384000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - ((-2 - 3) + (10 + -12 - 1))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 43937 + -43932. Let c(t) = -t**3 + 4*t**2 + 3. Let k be c(4). Solve 3*j - 2 = 2*q, 2*j = -q - d - k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 9:56 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 128188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*n - 66*n = -9*q - 20 - 5, 5*n - 3*q - 43 = 0 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -17*x**3 + 14*x**2 - 42*x - 41. Let y(v) = 3*v**3 - 3*v**2 + 9*v + 8. Let g(b) = -2*w(b) - 11*y(b). Calculate g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44 - 17. Let k = j + -21. Suppose -2 = -7*u + k*u. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2638018.\nAnswer: 2, 109, 12101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256 - 226. Let w(j) = 2*j**2 - j. Let a be w(-1). Solve -5*p - 5*q - f = 0, 4*q - a = p + 4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -24 - (-41 + -3 + 32) - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (24\/(-7))\/(14\/(-49)). Suppose -3*x = -0*x - w. Suppose 0 = -s - x*a + 561, -4*s + s = a - 1672. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.14 and -148477108?\nAnswer: 148477107.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11534?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307*a - 5*s - 11072 = 0, 5*a - 10*a - s + 106 = -46 - 24 for a.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117194718.\nAnswer: 2, 3, 163, 119831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4390587 or -4390593?\nAnswer: -4390587","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59 - (-77 - -25) - (0 + (6 - 0)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53*d**4 + 15*d**3 - 321*d**2 + 58555586?\nAnswer: -212*d**3 + 45*d**2 - 642*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s + 46. Let q be h(6). Suppose 0 = z + 3*z - q. What is the least common multiple of z and ((-2)\/4)\/(1\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3190777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2 = 0, 5*k - 2 - 1 = -2*y. Let x = -314 - -316. What is the remainder when y is divided by x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 37 = d, -3*d + 4*q = 6*q - 110. Is 3 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19499.\nAnswer: 17, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - 2*y)*(2*y - 2*y**3 - 2*y) + 2*y**4 - y**4 + 0*y**4.\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4935 and 676620?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4*(14\/84)\/((-3)\/(-1))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19830454, -19830453, -19830452?\nAnswer: -19830451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4994*k + 41 = 4997*k - 4*m, -k + 23*m + 317 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 865 - 745. Solve 2*m - 116 = -x for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26425 is divided by 629?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 2:53 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 1282. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.12 (b) 24 (c) -2\/17 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*-1*-1)\/(sqrt(300)*-2).\nAnswer: -sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = z + 8, 2*z = i + 2*i + 19. What is the greatest common divisor of 187 and z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -4*r**2 - 5*r. Let l = 487 + -491. Give v(l).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 11*k - 13. Calculate z(6).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 8*n**2 + 18*n - 10. Let p be (8\/20)\/(2\/(-60)). Is i(p) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -536369, -536360, -536349, -536336?\nAnswer: -536321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.824 - 42260070.\nAnswer: -42260070.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*v + 53*v - 91*v)*(68 + 75 - v + 2*v + 3).\nAnswer: 14*v**2 + 2044*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(343) + 0 - sqrt(343)) + -2)**2*1 + (sqrt(7) - (1 + sqrt(28))) + (sqrt(7) + -4)*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-3 + (-7 - -4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.35 - 1.35. Which is the nearest to -2\/3? (a) 0.35 (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42021 * 2410\nAnswer: 101270610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -5, -6, 3\/20, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 5:55 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 38 = -g + 4*p, 2*g = p + 47. Suppose -l - 11 = -37. Suppose -l*z = -g*z + 260000000. What is z rounded to the nearest one million?\nAnswer: -52000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2969*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-136)\/(-22) - 3) + 4\/(-22). Solve 0 = -b + n + 2 + 1, r*b + 4*n - 2 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -2*u**3 + 2*u**2. Let l(v) = -3*v**3 + 2*v**2. Let i be 0 + (-10)\/(4\/2). Let m(a) = i*l(a) + 6*j(a). What is the third derivative of m(b) wrt b?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the first derivative of 2 + 2\/3*a**3 + 1\/2*a**2 + 0*a. Let o(c) be the third derivative of -c**4\/24 - 3*c**2. Calculate m(j) - o(j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 1980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 34 + 22 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -19*w**3 + 2*w**2 - 2. Suppose -17*k = -23*k - 12. Let c(n) = -1122*n**3 + 119*n**2 - 119. Calculate k*c(y) + 119*s(y).\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2900a (base 12) to base 9.\nAnswer: 86211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 399 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (((-42)\/(-189))\/((-2)\/(-18)))\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -2, 0.2, -0.1, 29853, 0.3?\nAnswer: 29853","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 1)*(4*i + 0*i - 2*i)*(-11*i**2 - 13*i + 8*i**2 - 8*i**3 + 12*i) in the form w*i**4 + b + u*i**2 + c*i**3 + p*i and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 10, -2026\/3, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/(-18))\/((-1)\/(-104)). Suppose 1 = -3*g + b. Calculate the remainder when 33 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11217 (base 10) to base 12\nAnswer: -65a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*b - 57366005, 7*b - w - 111655786 = 89125219. Round b to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 149\nAnswer: -19\/149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*l + 33*l - 2752 = 0 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 0 + 2\/1. Find the third derivative of 2*d**2 - d**5 + 2*d**u + 2*d**5 + 6*d**2 wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 1 + (-11 - -19).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2487714601 to the power of 1\/3, to the nearest integer?\nAnswer: 1355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 b when two letters picked without replacement from siessbse?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -87.2 times -184\nAnswer: 16044.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.06, 14\/9, 1\/2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**2\/2 - 46*p - 510 = 0.\nAnswer: -10, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -1002?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2118\/5 - -6349\/15. What is the second smallest value in 0.2, 137, 0.4, -2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 68701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -55\/4 - -13. Suppose -4*n = -8 + 24. Let i be 1\/n - 3\/(-6). Sort f, 4, i in increasing order.\nAnswer: f, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259 = 24*f - 132 - 665 for f.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*w + 526 + 1314 = 0 for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-6\/11)*o)\/(o**(1\/2)*o)*(o*o**1*o)**(-15) assuming o is positive.\nAnswer: o**(-991\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11*j**2*m**2 - 1112*j**2 - 567*j - 19795*m**3 + 2 wrt m.\nAnswer: 22*j**2*m - 59385*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24858*i + 94460?\nAnswer: 24858","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 at least as big as -19956?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 249*x**4\/4 - x**3\/2 + 105*x**2\/2 - x + 296. What is the second derivative of y(t) wrt t?\nAnswer: 1494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -533 (base 6) to base 9\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/840 and (-127897)\/11760 + 3 + (-40)\/(-5).\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 19) + (4 - ((-2)\/3 - 40\/120))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g**4\/5 + 4*g**3\/5 + 6*g**2\/5 - g + 1\/5 = 0. Calculate g.\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + 13*q**2 - 7*q + 13. Let l be y(6). Let w(j) = 13*j**3 + 12*j**2 + 5*j - 11. Is w(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113 or 781\/7?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4457891, 17831502, 40120855, 71325950?\n\"Answer: 4457871*f**2 - 2*f + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (4 - 3)) + (-14)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -3*q**2 + 2*q - 3. Let y be n(3). Let z = 23 + y. What is the tens digit of (z\/3)\/((-17)\/969)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(4\/3)*c**(3\/7)*c**(-2\/13)*c\/(c*c**(-8)*c) assuming c is positive.\nAnswer: c**(2350\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -2*m - 4. Let u be 0 - (m*96 - -2). Suppose 0 = -l - 0*l - 3*x + 58, -4*l = -2*x - u. What is the remainder when l is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93283609 times 4?\nAnswer: 373134436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 62\/6 + (-95)\/(-57). Calculate the greatest common factor of i and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 33 and 3514.\nAnswer: 115962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14218782 divided by 12.\nAnswer: -2369797\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19688086 or -19688091?\nAnswer: -19688086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(35) + (sqrt(70) + sqrt(70)*-1)\/sqrt(2))\/(-6*(sqrt(112) - sqrt(7))).\nAnswer: -sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/8)\/((-15)\/50). Which is the closest to 1\/3? (a) 0.4 (b) 2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113 (base 5) to base 11\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 5:39 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w + 1. Let h be v(-1). Suppose h*t + 327230 - 14606045 = 0. Let n = -9455763 + t. What is n rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10451207 + 10457093.383. Let q = 5899 - s. Let o = q - 12.7. Round o to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let n(g) = -384*g + 130. Let v(q) = -6*l(q) - n(q). What is the derivative of v(r) wrt r?\nAnswer: 390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -3, 0.04, -21, 1, 4 in decreasing order.\nAnswer: 4, 1, 0.04, -1\/5, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, x: 1, u: 4}. Give prob of sequence hhxu.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(170)*2 + sqrt(170)*1*-2)\/((sqrt(80) - -6*sqrt(80)*1)\/(sqrt(24)\/sqrt(3)*5)).\nAnswer: 20*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -143 + 150. What is the hundreds digit of ((-1486)\/z)\/((-16)\/56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 + 12*k + 32. Let z be v(-12). Let u = z - 30. Solve 5*t = -u*a - 16, 1 - 25 = -2*a + 5*t for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -493.734852 rounded to 2 decimal places?\nAnswer: -493.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (74\/(-6) - 7\/(-294)*-28)\/(-1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {x: 3, h: 1, j: 6, c: 4, y: 5, e: 1}.\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + sqrt(832) + 4)**2 + 2 + 4.\nAnswer: 128*sqrt(13) + 3350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -354.\nAnswer: 1\/354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -10985.506, 5, 1 in descending order.\nAnswer: 5, 1, -0.2, -10985.506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 at least as big as 170?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and -9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-2)*s)**(-2\/69) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 130405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 13*z + 12. Let o be g(12). Let y(a) = -a**2 + 2. Let w be y(o). Suppose -5 = -3*i - w. Is i bigger than 3\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -250 divided by -921.\nAnswer: 250\/921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**5\/15 + g**2. Let c(h) be the second derivative of 0*h**3 + 30*h + 1\/6*h**4 + 0*h**2 + 0. Give t(c(i)).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + ((0 - -8) + -39 - -4) - 61?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 17*d + 118. Let q be n(5). Suppose q*l + 83 - 163 = 0. Let r = -1 + 3. Calculate the greatest common divisor of l and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 0 - 87*p + 11.\nAnswer: -87*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 924.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*sqrt(320)*-1 + sqrt(320)))**2*5 + 2.\nAnswer: 921602","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -72\/435433 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 40585870*c + 81171720.\nAnswer: 5*(c - 8117172)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-555)\/(-74)*10\/200?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2604647?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (sqrt(833)*-2*4 - ((sqrt(833) - -2*sqrt(833))*-1 + sqrt(833))).\nAnswer: -42*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10476 divided by -6\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -115 by 1355691.\nAnswer: -115\/1355691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.9 - 57.1. Let n = i - -31.95. Round n to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9556 - 4788 - 4779 - 341*k**2 - k - 2*k wrt k?\nAnswer: -682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*a**2 + 7*a - 5*a - 2*a + 118*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -168 + 67 + 57.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0, -19, 3, 2 in increasing order.\nAnswer: -19, 0, 2, 3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14\/(-28))\/(33\/(-22)). Let h(l) be the second derivative of -1\/15*l**5 + 1\/18*l**4 + 2\/9*l**3 - 16*l - g*l**2 + 0. Factor h(d).\nAnswer: -2*(d - 1)*(d + 1)*(2*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -10*m - 31. Calculate r(5).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 1776.\nAnswer: 1776.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21079 + 64586. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1064 is divided by 236?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3090 and 1?\nAnswer: 3090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*l**4\/5 + 696*l**3\/5 - 2359*l**2 + 7595*l.\nAnswer: l*(l + 31)*(6*l - 35)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w - 1. Let u be (13\/26)\/(2\/44). Let z be h(u). Suppose -a = z - 33. Calculate the remainder when a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u - 7*u + 24*u**3.\nAnswer: 24*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18521 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/37177 and -71\/94.\nAnswer: 74354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -53*q + 23. What are the prime factors of n(-4)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.31381426673 + 0.889.\nAnswer: 1.20281426673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1216) - (-3 + (2*sqrt(1216) - sqrt(1216)) + sqrt(1216))) + -1 + sqrt(1216)*-1)*5 + 2)*-2)**2.\nAnswer: -7680*sqrt(19) + 486976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/(-20))\/(((-15)\/28)\/5*(-4319)\/37020).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3 = 3*p - 2*p, 3*v = -5*p - 3. List the prime factors of (-78)\/(4 + 6\/v).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1328.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) -1\/24 (c) 2 (d) 6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -142, -152, -184, -250, -362, -532?\n\"Answer: -2*r**3 + r**2 + r - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632 is divided by 534?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5937 - 279 - 3181)*(-z**3 - 3*z**3 + 5*z**3) to the form f*z + n*z**3 + s + q*z**2 and give n.\nAnswer: -9397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q + 4*q + 0*q. Let o(k) be the third derivative of -k**4\/4 + 4*k**2. Calculate n(o(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*j + 23*j + 910. Let b(q) = -2*q - j*q**2 - 3*q + 129*q**2. Determine b(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -294325 (base 12) to base 16.\nAnswer: -a8dcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-360)\/(-25) + (-3)\/(-5). Let k = 7 - l. Let v be 4*(4\/k)\/(-1). Solve -2*s + 0*s - 2*t - v = 0, 20 = 5*t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.60741139 - 0.067\nAnswer: 0.54041139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -151.149163 + 151.16. Round d to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -341\/662 - -5\/331. Which is the closest to f? (a) 0.4 (b) -2\/11 (c) 0 (d) -0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a**2 + 10*a + 11. Let k be m(-1). Let p(u) = -u**2 + 14*u + 19. What is p(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 9:18 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 41*d**2 + d. Let a be k(1). Suppose 21*c - a = -0*c. Factor -4\/7*z**4 - 12\/7*z**3 + 0 + 12\/7*z + 4\/7*z**c.\nAnswer: -4*z*(z - 1)*(z + 1)*(z + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 406 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -127315367 + -1?\nAnswer: -127315370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**2 - 10*q + 24 = 0. Calculate q.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9269810*j - 9269832*j + 18539635*j.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 10*r**2 - 9*r. Let w(k) = 19*k**2 - 17*k. Let c(x) = -6*w(x) + 11*z(x). Find the second derivative of c(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 21*d**2 + 16*d - 66. Let r be m(-8). Calculate the highest common divisor of 899 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41816641.\nAnswer: 131, 319211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v - 19. Let r be a(-8). Put -3, -2, 0, r in descending order.\nAnswer: r, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - u = -105908 + 105970, -14*t + 5*u = 234 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 0.4. Let w = -0.6 - -0.1. Let p = 1 + 0. Which is the closest to p? (a) s (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3549759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270*b - 72048 = -3*f + 271*b, 4*f = 5*b + 96042. What is f rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -6*i**2. Let r(o) = -9*o + 2 + 24*o + 0 - 5*o. Let w(f) = 42*f + 9. Let a(d) = -9*r(d) + 2*w(d). Determine a(l(j)).\nAnswer: 36*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*h + 125*h = -74*h - 5434 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*0\/1 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:26 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - x**2 - x - 15. Let s be d(0). Suppose -9*b = -21*b - 36. Sort -1, b, s in descending order.\nAnswer: -1, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/48 + (-7)\/(-3). Suppose v - r*v = -7. Put -1, 4, v in ascending order.\nAnswer: -1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19403823?\nAnswer: 3, 83, 149, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -56764 (base 11) to base 4\nAnswer: -110002330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 12. Let a be q(4). Are a and 8\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Suppose -3*h - 7 = a. Let t = 25 - h. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6901 - 6901.4. Let s = -0.4 + -0.6. Let j = 2 - s. Which is the nearest to 3\/4? (a) t (b) 6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5475 + -2396. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2766604913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/9 + 2044*a\/9 + 5536\/3.\nAnswer: -4*(a - 519)*(a + 8)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 73 - 402 - 318 + 256*l wrt l.\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = -2*i + 1, -57*i + 53*i + 8 = -4*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -3*j + 764, -4*b - j + 310 = -446. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 24. Let t = r - 13.01. Which is the second biggest value? (a) 1 (b) t (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**2 + 12*v - 6. Let m(c) = 11*c**2 - 24*c + 13. Let x(y) = 13*i(y) + 6*m(y). Calculate x(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 15710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0 + 3. Let r = 10 - q. Calculate the remainder when r is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*a = 328*q - 325*q + 972 - 8013, -191 = -q - 4*a for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 divided by 10?\nAnswer: -31\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1027 - 16431\/16. What is the third smallest value in t, 17, 3\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-18)\/3*(-6)\/36. Let f(w) = -8*w**3 + w**2 - w. Give f(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49.8 - 50.2. What is the nearest to -0.2 in 8, -18, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 l, and 1 e when four letters picked without replacement from {e: 1, n: 4, p: 1, l: 4, b: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 193856 + -112570. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 370*h**3 + 2*h**2 - h**2 - 2*h - 785*h**3 + 388*h**3 + 3*h**4 in the form y*h + k*h**3 + n*h**2 + f + o*h**4 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.13 times 3?\nAnswer: -81.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(1\/2))**(-8))**(-1\/13) assuming s is positive.\nAnswer: s**(20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d\/(d*d**(-1\/12)*d)*d\/(d\/d**3) assuming d is positive.\nAnswer: d**(37\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 633*g - 633*g - 3*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2301 (base 4) in base 13?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3799316, 0.1, -18?\nAnswer: -3799316","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 27845575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q + 91 = -98. Suppose -q*r = -53*r + 9216. What is the highest common divisor of 18 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2143 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: Suppose 0 = -5*c - 3*z + 34, z = -c + 2*z + 2. Let p(o) = -4*o - 5. Let a(v) be the second derivative of -v**3\/2 - 2*v**2 - v. Give c*a(w) - 4*p(w).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r + 7. Let a(z) = 10*z**2 - 2*z + 1. Let l be a(1). Let m be n(l). Let j = -8 + m. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3394287 and 18291?\nAnswer: 23760009","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*v - 13 - 11, 5*n = 3*v - 26. Which is the fourth biggest value? (a) 1 (b) -0.16 (c) -0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-1*(5*(1 + sqrt(243) + 4) - (-2 + (sqrt(243) - ((sqrt(243) + 1)*6 - sqrt(243))) + sqrt(243))**2)*2.\nAnswer: 774*sqrt(3) + 4452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 2 - 0) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -1069*c - 3204. Calculate v(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 77 + -52. Let k = 13 + -5. Let b(c) = 4*c - 19. Calculate the remainder when o is divided by b(k).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 155623206\nAnswer: 15562320.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*b - 8 - 16 = 0, a = b + 3. Let i be 14\/(-12) + (-2)\/a. What is the closest to -1 in -1, 2\/3, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/5*(-90)\/(-27)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b + 30. Give x(-21).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1716 a factor of 2365542036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113416089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 531338867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 54\/2*4\/12. What is the first derivative of -w + 6*o - 12 + 15 wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**3 - 10*c**2 + 126*c + 5. Let b(j) = -3*j**3 + 16*j**2 - 189*j - 8. Give -5*b(r) - 8*t(r).\nAnswer: -r**3 - 63*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 10\/19261?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 8. Let m(w) = -4*w + y + 3*w**2 - w**3 - 3*w - 11*w**2. Is m(-7) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of f**4 + 89601*f**3 + f**2 - 5656892*f wrt f?\nAnswer: 12*f**2 + 537606*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1976760465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -153, -552, -1329, -2610, -4521, -7188, -10737?\nAnswer: -15294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 10:02 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -0.02170544155?\nAnswer: 3.02170544155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0078 + 463.0078. Let g = -458 + q. Let v = -7 + 3. What is the nearest to 1 in 0.4, v, g?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*o + 15, 0*o + 15 = 3*o for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 3:44 PM?\nAnswer: 5:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by 31?\nAnswer: -19\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7273018 = -4*o + 7127018. Suppose 2*u = -3*m - o, 4*u + m + 5756162 = -1443841. What is u rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116052?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -88850611?\nAnswer: -5\/88850611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -j - 153, -3*j + 7*y = 12*y + 391. Let k = j + 138. Let r be (k\/2*-4)\/(-2) + 2. Solve 3*v = -p - 9, r*p + p = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + n = 533, 6*a + 529 = a + 3*n. Let y = a - -120. Solve y*v - 9*v = -16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2856)\/108*27900\/(-5425).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 281 + 61. Let u = y + -341.9. Is 2\/295 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, 4, -4.\nAnswer: -4, 4, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 44*f**2 + 134*f + 447. Give g(-41).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2*(-2)\/(-8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -359349647*i*v**2 + 34489*i*v + 2*v**2 - 1607*v wrt v.\nAnswer: -718699294*i + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3668332*a**2*l**4 - 2*a**2*l - 3*a**2 + 37656*l + 2 wrt l.\nAnswer: 44019984*a**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 140032, 140024, 140018, 140014, 140012?\n\"Answer: f**2 - 11*f + 140042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -110212010 (base 3) to base 11\nAnswer: -7050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cjjcccwjccwjcw. Give prob of sequence jcj.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8914, -33941, -75638, -133993, -208994?\nAnswer: -300629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49872, 49871, 49870, 49869, 49868, 49867?\nAnswer: 49866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 13 = -11*l + 7*l, -3*l = 3*n - 9 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 + -20. Let l(z) = -8*z - 14. Let q be l(p). Let w = -89 - q. Solve -w*c - 2 = -3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40732723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 477 and 18.\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 48\/763?\nAnswer: 48\/763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2)\/(13 + -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 577170 and 897820?\nAnswer: 8080380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1207879?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20640647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h - 1433 - 51 - 214.\nAnswer: -h - 1698","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 4*o**2 - 2*o - 7. Let a = -8 + 13. Calculate the remainder when 15 is divided by m(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = k + 4. Let y = 21 - k. Is 8 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -527 * 2.6\nAnswer: -1370.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a\/((a*a*a**2)\/a)*a))**10\/(a**3\/(a*a**(-2\/13))) assuming a is positive.\nAnswer: a**(232\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t - 3. Let v be j(3). Let w = 2 - 0. Suppose 1 = -w*h - 4*c + 5, -3*h + 6 = -4*c. Solve h*u - u = v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lrhalrhrrjrlarl. Give prob of sequence hlj.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Let r(j) = 1413946*j. Calculate q(r(g)).\nAnswer: 1413946*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 72 and 8136.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 6:36 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/26 (b) 0.5 (c) 5\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -196 + 406. Is k a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 9*o - 9. Let g be 3*(-2)\/(-18)*(-5 + -7). Let r(x) = -19*x + 18. Let j = 18 + -25. Let u(l) = g*r(l) + j*y(l). Differentiate u(m) with respect to m.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 - 2. Let r = g + 448\/3. What is the third smallest value in -0.3, 3, r?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y - 2. Let n be w(8). Suppose 3*l + n = s, 3*s + 6 = -3*l - s. What is the closest to -1 in 0.3, l, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 4:37 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83 and 13687198.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4852 + -4824. Which is the closest to 0.2? (a) 1 (b) v (c) -1 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 + 543088*o**2 + 36880017000*o + 1621669500000.\nAnswer: 2*(o + 44)*(o + 135750)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 3*q - 17. List the prime factors of j(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -248 + 247. Let j be -4 - (-90)\/24 - d. Factor j*c - 5\/8*c**2 - 1\/8.\nAnswer: -(c - 1)*(5*c - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3984, 9828, 19568, 33204, 50736, 72164?\n\"Answer: 1948*y**2 + 2036","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66805?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u + 94 + 2*u - 179 + 85.\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-150)\/(-100))\/(43215\/(-670))?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 94 = 5*h, -o - 24 - 26 = 3*h. Let i be (-221)\/(-468) - 2*(-2)\/h. Factor -3\/4 + i*k**3 + 3\/4*k**2 - 1\/4*k.\nAnswer: (k - 1)*(k + 1)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - v - 1. Let d(j) = j**3 - 7*j**2 + j + 1. What is -d(u) - x(u)?\nAnswer: -u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/27016 and -21\/40283312.\nAnswer: 443116432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 123753*-2\nAnswer: -247506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*p = -15 - 70 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qv when two letters picked without replacement from qkmmqkvkqqvkqqw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.13 and -119091.\nAnswer: -2635483.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 4*j + 26*n, -7762*j - n + 21 = -7757*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144896059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 64663, 64699, 64737, 64771, 64795, 64803, 64789?\n\"Answer: -s**3 + 7*s**2 + 22*s + 64635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1222, -2412, -3602, -4792?\nAnswer: -5982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1307*b**3*j**3 - 6*b**3*j**2 - 2*b**3*j + 2*b**2*j**2 + 7*b**2*j - 232*j**3 - 2*j**2 wrt b.\nAnswer: 7842*j**3 - 36*j**2 - 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 1399417013?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9709\/(-6935)*-2*1?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -4*s**4\/19 - 582*s**3\/19 - 3654*s**2\/19 - 5578*s\/19 - 2502\/19 = 0?\nAnswer: -139, -9\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(200\/6)\/(-4). Let x = j - 17. Calculate the highest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 94004.\nAnswer: -376016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 28?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -612*n - 423. Give p(-1).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jwldjbbbwj. Give prob of sequence jj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1417*d**2*y**4 - 2*d**2*y**3 - 59*d**2*y**2 - 10*d**2 wrt y?\nAnswer: -34008*d**2*y - 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52908 or -44695?\nAnswer: -52908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/39*(86\/(-4) - -17)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**2 - 136*h + 1156 = 0. Calculate h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 0 - 8\/9*g**3 - 76*g**2 + 1\/18*g**4 + 1\/45*g**5 + 0*g - 1\/360*g**6. Factor j(b).\nAnswer: -(b - 4)*(b - 2)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2459*j + 2464*j + 3*h = -27, 4*h = 4*j + 28 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10)*1)\/((-135)\/180).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*u + 9. What is the highest common factor of 1 and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70704275?\nAnswer: 5, 17, 166363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.084662 tonnes to milligrams.\nAnswer: 84662000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40.931 - -0.369. Let w = -38 + f. Let c = 3.3000023 - w. What is c rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1264 = -10*k + 1454. Calculate the remainder when 1954 is divided by k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1069\/237538 + 1\/16967. What is the common denominator of -29\/1034 and t?\nAnswer: 7238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1571367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4287764 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -2*r**3\/15 + 14*r**2\/5 + 6*r - 42. Suppose d(j) = 0. What is j?\nAnswer: -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kttt when four letters picked without replacement from {t: 6, k: 6}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2 + 8*o + 13. Let n be d(7). Let k be 17 + 6*1\/(-2). Suppose -11 = -5*y + k. Solve -5*h + h + n = 0, -5*i + y*h - 35 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 6 - 10, -t = 5*j - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2436.9 + -2437. Which is the second biggest value? (a) -4 (b) -0.2 (c) -14\/9 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(110\/12))\/((-9)\/(-45)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:26 AM?\nAnswer: 2:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1512 divided by -5\nAnswer: 1512\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:26 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d + 2. Let m(f) = -2*f + 5. Let o(j) = -3*j + 6. Let q(y) = -5*m(y) + 4*o(y). What is 5*q(a) + 4*s(a)?\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 1684 = 1650 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 39 = 2*l, 41258 = 4*l + 4*v + 41102 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1759 - 1759. Factor -4\/3*v**4 + j + 4\/3*v**2 - 4\/3*v + 4\/3*v**3.\nAnswer: -4*v*(v - 1)**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1049 - 1027. Put -2\/21, 4, p, -2\/13 in descending order.\nAnswer: p, 4, -2\/21, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jujj when four letters picked without replacement from ijuicjjiikciipu.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 4:45 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -774.479638 rounded to one decimal place?\nAnswer: -774.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(15))\/sqrt(3) + (sqrt(20) + sqrt(5))**2*2.\nAnswer: 2*sqrt(5) + 89","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*s = -5*z + 17, 13 = 5*z + 2*s. Is z at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72 + -69. Suppose -5*m - 115 = -n - 25, -5*m - 250 = -c*n. Suppose -3*u - u = -n. What is the greatest common divisor of 30 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -2*q**3\/3 + q**2 - q - 7. Calculate k(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 34\/9, 4, -2, 1277, -0.09?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m + 31*m - 4*m)*(4*m**2 - 5*m**2 + 0*m**2 + (5 + 4*m - 5)*(-m + 2*m - 2*m) - m**2 - m**2 - m**2 + (-2 + 2*m + 2)*(2*m - m + 0*m)).\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (89\/534)\/((9\/39)\/(9\/(-2)))\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(216)\/(sqrt(60)\/sqrt(5)))\/sqrt(6))**2*4 + ((-5*(sqrt(243) + 1 - sqrt(243)) + sqrt(243))*-3)**2.\nAnswer: -810*sqrt(3) + 2424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 223 (base 6) to base 12\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 1\/6 (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-5) - 826\/(-595). Let l = 467\/102 + u. What is the common denominator of 19\/7 and l?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 236325*y**2 - 472635*y - 236315.\nAnswer: -5*(y + 1)**2*(y + 47263)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35909 + -4593?\nAnswer: -40502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z**2 + 7*z**2 - 23*z**2 + (-2 + 2 - z**2)*(1 + 2 - 6))*(-9 + 68 - 10) in the form f*z + c + k*z**2 and give k.\nAnswer: -931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -27 (b) -3 (c) -2.7 (d) 314 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 28164122?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000141 to 7 dps.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-12) - (225\/4)\/(-1). Suppose -16*b + 14*b + j = 0. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 7*d + 0*d + 5*g = 20, -7*d = -g + 40 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 57*t + 894. Let u be c(10). Solve 0 = 24*j - u + 80 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2368 = -254*s - 82 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/9 - 4*o + 34\/9.\nAnswer: 2*(o - 17)*(o - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.429 rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + 1 - 1) + 5. Suppose 3*h = -0 + 6, g*b - 460 = -2*h. Is b\/27 - 4\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*w - 3415, 5*t - 16990 = -6*w + 4*w. Does 55 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/8, 5\/3, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -23. Let o = -12 - -21. What is the least common multiple of o and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/9*k**2 - 8500\/9*k - 9031250\/9 = 0. Calculate k.\nAnswer: -2125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137765.14617 rounded to the nearest 100?\nAnswer: 137800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -187\/360 and 173\/2520.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 7*p + 1 + 1 + 1 + 9*p. Let w(d) = -d**2 + d + 2. What is -2*a(z) + 3*w(z)?\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*y + 74, -2256*f + 2251*f + 2*y + 84 = 0. Solve -5*a = 4*q - f + 31, 2*q - 15 = 5*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) 0.2 (b) 0 (c) -3\/5 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12.044 + 12. Let t = -0.044037 - m. Round t to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -5 + -5 + (10 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221212220022020 - -1121?\nAnswer: 221212220100211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -364 - -367. Let j(n) be the first derivative of -1\/2*n**2 + 1\/18*n**3 + 3\/2*n - a. Determine p, given that j(p) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*n**2 - 3*n - 4*n**2 + 0*n**2 + (-n - 1 + 1)*(4*n - 14*n - 5*n).\nAnswer: 17*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**3 - 5*v**2 - 41*v + 49. Calculate m(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 3*u + 10. What is the remainder when 5*(-2 - (-216)\/u) is divided by ((-585)\/99 - 1\/(-1 + 12)) + 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 13 + -13 - (-1)\/14)*(-116)\/(-87). Factor -y*j**2 + 4\/7*j**4 + 8\/7 - 1\/7*j**5 + 4\/7*j - 1\/7*j**3.\nAnswer: -(j - 2)**3*(j + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 58 = -6*w, -3*r + 31 - 107 = 2*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*m - 4 = -8*m, n - 5*m + 5 = 0. Let k be 1\/(-3*20\/(-12)). Factor n + k*d + 0*d**2 - 1\/5*d**3.\nAnswer: -d*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w = 32*w + 294. Let x be (w\/(-8))\/((-1)\/4). Calculate the greatest common factor of x and 931.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 334681283 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 251102.495 rounded to the nearest 10000?\nAnswer: 250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p. Let m(o) = -o. Let n(c) = c. Let j(y) = m(y) - n(y). What is j(k(i))?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**3*u**3 - 31815*t**3*u**2 - 4*t**2*u**2 + t*u**3 - 1112*t*u - 7*u**2 wrt t?\nAnswer: -18*u**3 - 190890*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*p - 23, 47*p = c + 50*p - 17. Let x(h) = 10*h**3 + 2*h**2 + 2*h + 2. Let z(u) = 19*u**3 + 5*u**2 + 4*u + 5. Determine c*x(k) - 2*z(k).\nAnswer: 12*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/4 + 117*v**3\/4 + 1222*v**2 + 2325*v = 0.\nAnswer: -31, -2, 0, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -45789118 * 3\nAnswer: -137367354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29735 + 3211525\/108. What is the common denominator of y and (254\/72)\/(44\/12)?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/(-6)*90\/150?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76019 is divided by 18944.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - (-1 + 0 - -9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -5*v - 7*n + 3034, 0 = -5*n - 10. Does 15 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 310 + -9?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 24*u**2 - 21*u - 24. Let t(m) = -m**2 + m + 24. Calculate the lowest common multiple of n(23) and t(0).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 2982262924?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 3*j - 2*j + 9*j**2 - 1. Suppose 13 = k - 3*d, -17 = 7*k - 8*k + 4*d. Determine l(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/156925 and -5\/6.\nAnswer: 941550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = v - 27. Suppose -v = -3*k - 15. Let u(b) = b + b - 12 + 15 - b**k - 4. Give u(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.029625 minutes in nanoseconds?\nAnswer: 241777500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -9.4. Let h be -2 + 0 + 2\/4. What is the smallest value in -0.1, u, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + -13. Let k = 4402\/7 - 39590\/63. Which is the third biggest value? (a) k (b) 1\/2 (c) f (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.369 - 0.069. Which is the nearest to -2\/5? (a) -1\/8 (b) 2\/15 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12999 is divided by 997.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from {y: 4, u: 2, w: 1, h: 6, x: 2}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -11*o + 17 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 12, 69, 5 in decreasing order.\nAnswer: 69, 12, 5, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.00193 rounded to three dps?\nAnswer: 1.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 15 = 3*y, 20 = 9*y - 8*y + 4*x. Suppose -3*u - 6 = 2*l - 33, 0 = 5*u + 4*l - 45. Solve -3*g + t - 1 = y, 0 = t + u - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 + 19 + 12 + -38 + -36?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7751493361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -228.1 - -228. Let f be ((-10)\/15)\/((-28)\/(-6)). Which is greater: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/20)\/((1\/4)\/(765\/(-306)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 7 = -r - 5*d, d = 2*r + 19. Let i = 8 + r. Let o(z) = 2*z**2 + 3*z + 127. Is o(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46576.18t to milligrams.\nAnswer: 46576180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 12*(-13)\/156*42\/((-8)\/(-4))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000514 to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*-2*sqrt(77))\/(sqrt(275)*-1).\nAnswer: 2 + 6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*1*sqrt(2600))\/((-1*sqrt(72)\/sqrt(4))\/sqrt(9)) + 3.\nAnswer: -30*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 167\/100141 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583737?\nAnswer: 3, 7, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q - 1. Let c(i) = i**2 - 10*i - 3. Let t(o) = c(o) - 3*n(o). Let v be t(4). Let z be (-22)\/v - 4\/(-6). Is z less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-3 + 2 - -3 - 27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 80785517 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2722977, 5445992, 8169009, 10892028, 13615049?\nAnswer: 16338072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 438 and 8004?\nAnswer: 584292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose r*k - 6*k = 6, 2*x = 3*k + 13. Factor -2*t**2 + t**4 - 2*t**x - t**3 + 3*t**2 + t**5.\nAnswer: t**2*(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/17 + 172*l\/17 - 810\/17 = 0.\nAnswer: 5, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*f + 5 = 0, 3*w + 2*f = w + 10. Suppose p - w = -2*b, -4*p = -5*b + 10 + 35. Suppose o - 2\/3*o**4 - 2\/3 - 2*o**3 + 4\/3*o**2 + o**b = 0. What is o?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3619*d**2 + 3605*d**2 + d**3 + d**3 - 1 + 4*d**2 + 2*d**3 - 4*d**2 + (0 + 0 - d)*(-d**2 - 4*d + 4*d).\nAnswer: 5*d**3 - 14*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3346*y**6 - 228*y**5 - y**3 - 83998007*y**2?\nAnswer: 401520*y**3 - 13680*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 66\/550 + 151\/200\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1767226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16938?\nAnswer: 2, 3, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + 19*q + 9. Give g(-10).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 3*c - 2. Let f be w(2). Let n be f\/10*(-5)\/1. Let g = -3 + n. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 686358783 to the power of 1\/2, to the nearest integer?\nAnswer: 26198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l + 19*l + 12 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 97245?\nAnswer: 97249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -2*v**5 + 2150*v**4 + 57428*v**3 - 193724*v**2 - 57426*v + 191574 = 0.\nAnswer: -29, -1, 1, 3, 1101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*m - 2, 2*x + 5*m = 56. Suppose -7*t + 12 = -x. Put 3, t, 4, 6 in increasing order.\nAnswer: 3, 4, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l - 93. Let m(k) = 3*k. Determine n(m(d)).\nAnswer: -6*d - 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 72*f**3 + 6*f**2 + f + 845?\nAnswer: 432*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2359.3? (a) 5 (b) 6 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 79808621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1782*f = 58437 - 4977 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**2*c*c*c\/c**11 assuming c is positive.\nAnswer: c**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 2511?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 38706181 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express h + 37*h**2 - 15*h**4 - 21*h**2 - 4 - 17*h**2 + 35*h**4 in the form g*h + m*h**4 + p*h**3 + d + r*h**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -32330021333 (base 4) to base 16\nAnswer: -3bc27f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*c - 21187, 3*c = 5*a - 87299 - 18720. What are the prime factors of a?\nAnswer: 2, 10601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b - 57. Let x be s(-16). Let d = -38 - x. Suppose 22*y + 2704 = d*y. List the prime factors of y.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, 82, 10, 1.\nAnswer: 1, 10, 82, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22040 and 310520.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8894*w**5 - 868*w**2 - 21705198*w wrt w.\nAnswer: -177880*w**3 - 1736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 370140201 and -0.0497?\nAnswer: 370140201.0497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**5\/5 - 11*k**4\/24 + 33*k**2\/2 + 27. Let u(m) be the second derivative of a(m). Find the second derivative of u(s) wrt s.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, h: 7, e: 2}. What is prob of sequence ehey?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -55, -65, -79, -97?\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 6*s**2 + 22*s - 39. Determine j(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -516 (base 13) in base 15?\nAnswer: -3c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*p + 133. Suppose 6*f - 1152 = 102. Suppose 7*z + 4*z = f. Calculate the remainder when p is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - (0 + -6 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 226*c + 209487 - 200673 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58 and 7096.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7\/(-6))*-70 - (-72)\/108\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(1705\/31))\/((-2)\/52*2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/4, -0.4, 1\/7, -2.3, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7312 + 8823. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*z - 220 = 176*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12 - -2)*(0 - 249\/6). Let d = h + 587. What is the lowest common multiple of d and 58?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(68) + 3*sqrt(68) + sqrt(68)) - -3*sqrt(68)*-4)\/((sqrt(2560)*-1)\/((2*sqrt(100))\/sqrt(10))).\nAnswer: 21*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 63, 85, 107, 129, 151, 173?\n\"Answer: 22*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/5)\/(d\/d**(-1\/20)))**(3\/5) assuming d is positive.\nAnswer: d**(-87\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -78*v**2 - 2*v + 65. Let r(f) = -120 - 76 + 3*f + 76*f**2 + 130. Let p(g) = 3*i(g) + 2*r(g). Find the first derivative of p(s) wrt s.\nAnswer: -164*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**4\/9 + u**3 - 25*u**2\/9 + 3*u - 10\/9 = 0.\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928112?\nAnswer: 2, 19, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4466 and 15022.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 3*l + 3787, 0 = -13*x + 17*x - 4*l - 7564. Calculate the smallest common multiple of 172 and x.\nAnswer: 1892","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5575045*k**5 + 247799*k + 5 wrt k?\nAnswer: 111500900*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(325) - (sqrt(325) + -3)**2)*6 - (1*-3*sqrt(325)*-6)**2) + -3.\nAnswer: -107302 + 210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 5*o**2 + 493*o + 131. Calculate b(-101).\nAnswer: 1343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -18835520 divided by 32\nAnswer: -588610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000001011111011110 + 10?\nAnswer: 11101000001011111100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 97*m - 90*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 1621824.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4577.726mm in meters?\nAnswer: 4.577726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + s - 1. Suppose z - 3*z = -4*n, 3*n - z = 1. Let w be y(n). Suppose 5*c - w*c + 189 = 3*m, m - 71 = -3*c. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 8*l**2 - 18*l - 13. Let p be o(10). Solve p*q = 6*q - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.8 + 0.8. Let f = -4.1 - o. Put f, 1\/6, 0.2 in decreasing order.\nAnswer: 0.2, 1\/6, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -150 + 149. What is the closest to -1 in -0.4, 4, 1\/43, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3183 - 66\nAnswer: -3249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -2*o + 366, 5*o - 5*p - 939 = -p. What are the prime factors of o?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.041, -22, -7, -1, -11?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) 2 (b) 17 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2*m**3 - m + m**3 + 12 - 2*m to x*m**3 + i*m**2 + o + d*m and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 - t**2 - 2*t - 4. Let v be s(2). Solve -12 - 8 = v*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -3. Let r = f + 19. Solve -u - 23 = 5*k, -3*u - r = k + u for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*5\/100)\/(1\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 1386 = -12*m. Let t = -74 + m. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuucuczuuuubuzuuuy. Give prob of picking 1 u and 2 z.\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 642 + 0.3\nAnswer: 642.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152327835 to the nearest integer?\nAnswer: 12342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 293655991 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.7 + -0.7. Let j = 47.5 - x. Which is the biggest value? (a) -3\/8 (b) 2\/59 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*x**2 - 964*x - 1180.\nAnswer: -4*(x + 59)*(4*x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -523, -4095, -13777, -32623, -63687?\nAnswer: -110023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*y - 29*y + 3*f + 8 = 0, 2*y = -5*f - 16. Solve -1 = -y*x + 7 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/15))\/(f\/(f*f**(-4\/5))*f)*(f\/(f*((f*f**(3\/31)\/f*f)\/f)\/f))\/f**26 assuming f is positive.\nAnswer: f**(-2396\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 202516?\nAnswer: -202518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -86257 at most as big as -86257?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + -6 + 7 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -632*b + 608*b - 288 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by (4\/5)\/((-9)\/((-1485)\/11))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4 - (-11)\/4. Let y be (1 - -3)*(-1)\/(-2). Find the first derivative of 2*f**2 - f**2 + 2 - q*f**y wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 72*t + 12. Let x(d) = -4. Give -4*c(q) - 12*x(q).\nAnswer: -288*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/20 - h**4\/24 + h**3\/6 + h**2. Give p(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*p - 229 = -3*d, p = 2*d - 162. Let k = d + -54. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1506?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-20 + 4*n**2 + 20) + (2 + 2*n**2 - 2)*(4 + 1 - 4 + (-4 + 0 + 2)*(2 - 2 - 1)).\nAnswer: 10*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9878337*f*r**2*v - 10*f*r**2 - f*r + r**2*v + 5463 wrt v.\nAnswer: 9878337*f*r**2 + r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 11 + 8 + 8 + 5*u - 29 - 9*u. Suppose 124 = 4*z + 104. Calculate r(z).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 683 - 788 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/6 + 359*a**2\/6 + 16376*a\/3 + 15842 = 0. What is a?\nAnswer: -178, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1225) + sqrt(1225) + sqrt(1225) + sqrt(1225) + sqrt(1225)*-1 + sqrt(1225))\/sqrt(5) + -4)**2.\nAnswer: -224*sqrt(5) + 3936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 PM and 3:57 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.6526ng in grams?\nAnswer: 0.0000000946526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-121)\/(-22)*(-58)\/(-87).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dr when two letters picked without replacement from errerdreree?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 + -0.9. Which is smaller: 0.03 or x?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3036*m**2 - 69811*m + 347. Calculate f(-23).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 231881.037 to the nearest 10.\nAnswer: 231880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/9 + 749831*c\/3.\nAnswer: -c*(c - 2249493)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {p: 1, g: 6, w: 1, z: 1, t: 2, h: 1}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**8\/t*t*t**(-1)*(t*t\/(t**(-2)*t*t))**15 assuming t is positive.\nAnswer: t**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence daoo when four letters picked without replacement from {c: 1, a: 1, d: 4, o: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 10*d**2 - 2*d + 15. Suppose 2*k - k = 2*x + 17, 24 = -3*x + 2*k. Does 3 divide w(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/11, -10\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + 100?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 166, 347, 578, 853, 1166, 1511?\nAnswer: 1882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7249887 (base 10) to base 11\nAnswer: -4101a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.1 - 6.71. Let g = n + -0.3. Round g to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 428 + -28. Let h be u*275 + 0\/(-2). Suppose -2*b = -3*b - h. Round b to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-1495)*241215\/(-7422)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99\/2 - 4\/8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9706, -38824, -87352, -155290?\n\"Answer: -9705*w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36882, 35366, 33864, 32382, 30926, 29502?\n\"Answer: x**3 + x**2 - 1526*x + 38406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19036*f + 3 = 19041*f - 11*u, -4*f + 12 = -4*u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2001171 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.066694739 rounded to five dps?\nAnswer: 0.06669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 27\/108 - (0 - 21\/60). Sort 51, f, -0.5 in decreasing order.\nAnswer: 51, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78594?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1066 + 1062. What is the nearest to 2\/3 in 4, 0.05, c?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -12*a**2 - 4*a - 3. Let j be f(-3). Let l = j - -406. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**5\/10 + 183*o**4\/2 - 25025*o**3 - 75625*o**2 - 6828*o + 1. Let k(p) = 0. Calculate p.\nAnswer: -1, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 8, j: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/2259 in -5\/3, -1, -2, -9, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10 and 18732685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*o - 33, y - 20 = -4*o + 23. Let i = o - 9. Let h(k) = 4*k**3 + k**2 - 1. Let f be h(-1). Put 0, i, f in increasing order.\nAnswer: f, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132, 271, 410?\nAnswer: 549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 3*(2 + 0). Suppose 0*c - 5*n = c - 3, -4*c = b*n - 12. Solve z**2 + 7\/2*z + 1 - 3\/2*z**c = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 131193 + 75325 = 0. Let a = l - -106518. What is a rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 789340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 - -50 - (-150)\/24.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven tenths of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-470)\/55*26\/(-4). Let w = o - 55. Let u be 0\/((-2)\/(-6)*3). What is the closest to 4 in u, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 6. Let y be x(9). Suppose -2*a = 3*c - y, 0*a - 4*a = 2*c - 2. Solve -2*h + h - c = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 2731*z - 1641666.\nAnswer: (z - 507)*(z + 3238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, 171, 1, -24, 12, -4 in decreasing order.\nAnswer: 171, 38, 12, 1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 6 = 2*z + 5, -3*z - 13 = -2*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 3*t + 4. Let i(j) = -j**3 + 3*j**2 + 2*j + 4. Let y be i(4). Let f be s(y). Let k be f - 6 - (6 - 7). Is -6 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/3 (b) -3 (c) -27 (d) -4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4\/3 (b) 214\/9 (c) -0.3 (d) -0.1 (e) -10 (f) -82 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-14)*-1)\/((-2388)\/5572)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4070, -4077, -4084, -4091, -4098, -4105?\nAnswer: -4112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 + 3*i - 2. Let c be w(-3). Let y = c - -3. Let n(o) = 5*o**3 + 1. Let v be n(y). Solve k = v*k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 11*w**2 + 14*w - 8. What is the remainder when (62\/4)\/((-1)\/(-4)) is divided by q(10)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 4*b + 243*b**2 - 38*b**3 - 106*b**2 - 140*b**2 + 11 to the form u*b + c*b**3 + s*b**2 + z and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**6\/15 - k**3\/3 + 5*k**2. Differentiate j(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, o: 1, h: 1, w: 1, g: 2, i: 1}. Give prob of picking 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y**3 + 5*y**2 - 2*y + 3. Let j(t) = t**3 + 2. Let c(a) = -6*j(a) + k(a). What is the second derivative of c(o) wrt o?\nAnswer: 48*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 3*i - 12, 3*q - 3*i = -4*i + 12. Suppose -3*a - 5*p = -0*p - 22, -q*a + 2*p + 12 = 0. Solve 0 = 3*k + 4*c + a, -3*k + 2*k = -2*c - 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 - -130. Suppose -14 = -d*h + 58*h. Solve h*z = -6 + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 5*h - 7. Let q = 59 + -57. Let z(r) = -r**3 - 2*r + 4. Let i(g) = q*s(g) + 5*z(g). What is i(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2 - 1537*r + 12312. What is o(376)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -415 - -1b79?\nAnswer: 1764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*k + 3 - 18, 107 = 5*h - k. Find j such that 19*j + 29*j + 30 - 13*j + 76*j + h*j**2 = 0.\nAnswer: -5, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1398614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1023 divided by 1023\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/((-4)\/(-24)). Suppose 4*b + i*u - 4 = 4, -2*u = b + 3. What is the second derivative of -2*n**3 - b*n - 2*n + 4*n wrt n?\nAnswer: -12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001 + -100000111?\nAnswer: -10110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -230*l**2 + 2*l**3 - 1842*l + 608*l + 212*l**2.\nAnswer: 2*l**3 - 18*l**2 - 1234*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 - d + 0*d - 5 + d**3 + 3*d. Let b be g(5). Solve -2*j - b*y - 13 = -1, j + 2*y = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a millennium in decades?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4\/19 - 90\/247. Let m = 3 + -6. Let g(j) = j + 11. Let q be g(-8). What is the third smallest value in t, m, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10644624 and 0.2?\nAnswer: 2128924.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -270110297*r**4 - 118634688?\nAnswer: -1080441188*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**3\/4 + 4857*k**2\/4 + 951129*k\/2 - 1437642 = 0.\nAnswer: -948, -674, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -t**3 + 177*t**2\/2 + 627. Factor k(f).\nAnswer: -3*f*(f - 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/336*6\/3.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(9\/(-126))\/(18\/(-12) + 1).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 69 + 42 + -80.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -1. Let d(r) = r. Let a(c) = -d(c) + t(c). Suppose -4 = 2*b - 3*p, -3*b = -5*p - 0 + 5. What is a(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -110, 3 in descending order.\nAnswer: 3, 2, -2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 3:29 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {f: 4, p: 1, v: 2}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -111 * 210.\nAnswer: -23310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 77*r**2. Let j(y) be the first derivative of y**3 - 297. Calculate g(j(n)).\nAnswer: 693*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084 is divided by 490.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4*x - 60493269*l**3*x + 5*l**2*x + 7*l**2 - 3*l*x - 3*l - 70*x - 19 wrt l.\nAnswer: -48*l*x - 362959614*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -174118.6 less than 0.1?\nAnswer: 174118.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (6*(-140)\/63)\/((-8)\/12) and 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.1757ng to grams.\nAnswer: 0.0000000261757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**2 + 6*t**2 - 2*t**2. Suppose 4*m - 17 = 3*f, -m = 2*m + 5*f - 20. Let b(j) = 3*j + 3*j - m*j. Give h(b(l)).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 12 (b) -4 (c) 0 (d) -3 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**2. Let i(q) = -3*q**2 + 27*q. Determine i(f(d)).\nAnswer: -27*d**4 - 81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 6*b**2 + 2*b - 6. Let n(w) = -w**3 + 5*w**2 - 5*w + 6. What is the lowest common multiple of s(6) and n(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516900034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*c**5 + 4*c + 0*c - 6*c - 10*c**5 wrt c?\nAnswer: -500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-36)\/(-10)*50\/15. Suppose t + 10 = v. Let j = 6 - -4. Solve -2*u = t*y + 14, 4*u + 42 = -5*y + j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 4:52 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 88*d - 84*d + 13, g + d + 23 = -5*d for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -24.078. Let j = z - 0.08. Round j to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*r**3 - 448*r**3 + 193*r**3.\nAnswer: -450*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b + b**3 - 2 + 11 - 4 - 2*b**4 to z*b + q*b**3 + n + r*b**2 + m*b**4 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 145756497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnxqgxm. What is prob of sequence xb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 13. Let f(n) = n**2 + 17*n - 17. Let l be f(-18). Suppose j + 2*y - 3 + l = z, -8 = 2*y. Solve -c - c + j = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1595.\nAnswer: 5, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 5)*(4 + 0 + 2) - 1 + 4 - 2)*(3*l**5 - l**5 - 4*l**5).\nAnswer: -50*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*j + 8947 = 0, -15329 = 5*d - 5*j - 429. What is the biggest value in 0, -4, d, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (29 - (-13 + 9 + 17)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 3*q + 12. Let d be m(5). Let j = d - 38. Solve -1 = 2*l + j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 36, -6 in decreasing order.\nAnswer: 36, 3, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 5*y - 10, 121*t = -4*y + 122*t + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32134469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + t**2 + 2. Let z(c) = 3*c**3 - 9*c**2 + 26*c + 8. Let f(s) = -4*r(s) + z(s). Let n be f(-15). Sort n, -5, 1 in ascending order.\nAnswer: -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + 2 + -1 + -1 + (sqrt(432) - (-1 + sqrt(432))) + 0)**2*6.\nAnswer: 288*sqrt(3) + 10374","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 277448114.\nAnswer: -27744811.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3234 divided by 297.\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3927, 7249, 16259, 33801, 62719, 105857, 166059, 246169?\nAnswer: 349031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 118, 2, -3, -4, 4 in decreasing order.\nAnswer: 118, 4, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 3840.\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5\/(-20)*-8 + 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 0 - 3*v**2 - 213*v - 1\/6*v**3. Give l(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccjgzgzj. What is prob of picking 1 j and 2 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n - 3*n - 14 - n + 6*n. Let u be d(-6). What is the greatest common divisor of 20 and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3*z. Let g(m) be the second derivative of 1\/12*m**4 - 5*m + 0*m**3 + 0 + 0*m**2. Calculate f(g(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6714479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 1.102, -0.05, 20, -5, 2\/17 in descending order.\nAnswer: 20, 7, 1.102, 2\/17, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgpijcgi. Give prob of picking 1 j and 1 p.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3280 divided by -820\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 2*h - 12. Calculate the common denominator of 2\/(-8) - (-51)\/h and 87\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**4 - 166928*t**3 - 4*t**2 + 6256502*t wrt t.\nAnswer: -36*t**2 - 1001568*t - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xssx when four letters picked without replacement from {s: 7, x: 4}?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 13*v + 12. Let t be o(12). Let j(r) = -r**2 - 1. Determine j(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mhmvvdhhdmmmhhmmmh. What is prob of picking 1 m, 2 v, and 1 d?\nAnswer: 4\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 3*z**6 - 134*z**5\/35 - 9*z**4\/2 + 142*z**3\/21 - 8*z\/7 - 11. What is t in r(t) = 0?\nAnswer: -1, -2\/9, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*t - 301 = 0, -2*k - 3*t + 88 = -81. Calculate the smallest common multiple of k and 4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 24\/5, -4, -0.0641, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -7*p + 6. Let j(s) = -15*s + 13. Let w(l) = 13*f(l) - 6*j(l). Let r be w(-5). Let u(v) = 6*v + 0*v**3 + v**3 - 9*v**2 + 3*v**2 + 1. Calculate u(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921620775 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -337 = -336?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1238\/(-88) - (-10)\/(-55) and 41\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/16)\/(140\/16)*4060\/2900?\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -46, 3\/4 in descending order.\nAnswer: 3\/4, -3, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -126*c + 17. Let a be p(-1). Let y = 176 - a. What is the smallest common multiple of y and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*s - 47*s = 28*k + 120, 3*k + 11 = -s + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - h - 1. Let w(u) = -8*u**3 + 36*u**2 - 36*u - 36. Suppose 150 = -61*v - 14*v. Determine v*w(c) + 72*a(c).\nAnswer: 16*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 2. Let h = j - -1. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 307 = 253. What is b rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 11:49 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, f: 2, r: 1, u: 3, k: 5, t: 3}. What is prob of sequence fukk?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {p: 1, h: 2, c: 1, x: 3}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 7*y - 10*y - 1 + 1. Let g(h) = 3*h. Determine g(p(x)).\nAnswer: -9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 11*i - 21. Suppose -3*t + 24 = -57. Calculate the remainder when t is divided by r(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((26\/4)\/((-9)\/(-27))).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -350*c**2 + 15*c + 9. Let r(q) = -1049*q**2 + 40*q + 24. Let s(t) = -8*m(t) + 3*r(t). Let d(z) = 3*z**2. Give s(d(a)).\nAnswer: -3123*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/14 in 10, -0.03, 15.65?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 4*l**2 + 4*l + 2. Let k be y(-2). Suppose 27*z = k*z + 163. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91\/4 - -23. Suppose 0 = -2*y - 4*o + 16, 0 = -y - y + o + 11. Suppose 0 = y*j - 3*j. Which is bigger: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108340427 and 23426?\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59406086.\nAnswer: 2, 67, 73, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 + 48. Suppose -2*d - 2*d = 0. Let h = c - d. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -883864 divided by -6\nAnswer: 441932\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5878008 and 4512.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.582 - -0.68. Let b = a + 0.051. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j - 57*j + 124*j = 144. Let l(o) = -5*o + 9. Let m(y) = 6*y - 10. Give j*m(r) + 5*l(r).\nAnswer: -r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 279\/50?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*j + 3)*(12400 - 18368 + 14027) to the form n + y*j and give y.\nAnswer: -16118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 99 + 105?\nAnswer: 19e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 PM and 2:40 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19394 + 58606 = -15*q. Is 51 a factor of -3*(-3)\/((-36)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.34 - -30.66. Let l = -50 + -2. Let u = r + l. Which is the biggest value? (a) -1 (b) u (c) -1\/4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 + 7*p**3 + 45)*(-3*p - 2*p + 4*p + (0*p - p + 3*p)*(1 - 3 - 1) - 4*p + 2*p + p).\nAnswer: -56*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/4)\/f)\/f**(-2\/3))\/((f*f**(12\/5)*f)\/(f*f*(f**(1\/2)*f)\/f*f*f*f)) assuming f is positive.\nAnswer: f**(1\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -5*z + 2. Let m(u) = 0*u - 3*u - 3*u - 7 + 10. Let q(a) = 2*m(a) - 3*n(a). Let o(l) = -8*l**2. Give q(o(w)).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/200 and 53\/1150.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27 + -27.03. Let t = r + 6.03. Let b = -5.9 + t. Is 1.2 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 316*i - 171 = 1000 + 725 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 0, 5*h + 5*o - 25 = 6*o. Solve -2*d = h*b + 8 + 5, 8 = -4*d - 4*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49535163.\nAnswer: 3, 5503907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -18*o**5 - 7034*o**4 - 53786*o**3 - 63174*o**2 + 154652*o - 30640 = 0. What is o?\nAnswer: -383, -5, -4, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 27063830 - -64\nAnswer: 27063894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7 - (-4 + 13) - 326\/(-1). Let k be (-12)\/(-4) + -4 + j. Calculate the greatest common divisor of k and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 5:06 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20303 - -1040?\nAnswer: 21343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 4) + 3 + (-8 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5798 is divided by 90.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*x + 40, -5*z - 4*x = 16 - 114. Suppose -3*d = -6*d + z. Let j be (-31 - -24)*(-16)\/28. Is j greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 1, z: 2, f: 5}. Give prob of sequence fi.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000726684878 rounded to six dps?\nAnswer: -0.000727","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 201?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.429556 decades to centuries.\nAnswer: 0.0429556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -2. What is the second derivative of 0*t**g + 2*t + 2*t**4 - 4*t wrt t?\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)\/p*(p\/(p*p*p**(-3\/4)*p))\/p)\/(p**1)**(6\/7)*((p*p**(-2)*p)\/p)\/(p\/(p\/(p**4\/p)))*(p*(p\/p**1*p*p*p)\/p*p)**(-46) assuming p is positive.\nAnswer: p**(-5463\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4 = 5*a + 24, -d - 6 = a. Sort 1\/6, -13, d, 3.\nAnswer: -13, d, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 6 = 62. Suppose -10*k + 6*k = u. Let c be (-7)\/k - (-179)\/2. Calculate the greatest common factor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-21)*f*f**(5\/9))\/(f\/f**(4\/3)*((f*f**(9\/5))\/f)\/f) assuming f is positive.\nAnswer: f**(-896\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243 = 62*y - 67 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus -0.7542?\nAnswer: -0.2458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-2))\/(-4)*-2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-110 + 5)*10\/(-30). Calculate the greatest common factor of w and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 6. Which is the nearest to 0.1? (a) 5 (b) q (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 2. Let b = q - 1. Suppose -2*c = 6*c + 4*c. What is the nearest to b in -5, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 - 11. Solve -3*v + 5*a = 31, 5*v - 2*a = -5*a + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 + 4*t**5 + t**3 + (t**2 + 2*t - 2*t)*(-9*t - 9*t**3 + 9*t) - 4*t**5 - 3*t + 3*t.\nAnswer: -9*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + (-24)\/(-21))\/((-24)\/(-84)) + 7. Sort 2, k, 108, 4, -1.\nAnswer: k, -1, 2, 4, 108","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 913649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390 and 14235?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 + 2. Let k be (o + -3)\/((-1)\/2). Let y be 12\/(-15)*(-45)\/18. Solve y = k*t - 8 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -8*l - 24. Let y(s) = s**2 - 19*s - 8. Let k be y(19). Calculate the remainder when 76 is divided by m(k).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 7*z - 8*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*p - 1142, -3*h + 2*p + 2257 - 519 = 0. Does 36 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(396) + sqrt(396) + (sqrt(396) + -1)*-5)*6 + 0))**2 + -3)*-4.\nAnswer: -516804 + 25920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-4)\/8)\/(3\/(-4314)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + -2*sqrt(5).\nAnswer: -2*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (12\/(-24))\/(1\/(-62)). Let i = a - 25. Suppose i = r - 7. What is r rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 16*i**2 - 2*i + 6. What is the hundreds digit of z(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-27)\/6)\/(-3) - 434\/(-28). Suppose -r = l - 429, 3*l - a*r - 1287 = -18*r. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45993 is divided by 339.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 22 = 187. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 5*g - 7. Suppose 2*z + 11 = 1. Does 6 divide a(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15069, 35618, 56167, 76716?\n\"Answer: 20549*k - 5480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -132 + 132. Suppose 3*x - x + 4*h = 14, j = h + 1. Calculate the least common multiple of 48 and x.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 4*a**2 + 3*a - 7. Let f be b(-5). Suppose -5*n + 12 = -f*x, -2*n = 2*n + 3*x - 15. Factor -4*t**2 - 1 - n*t**3 + 3*t**2 + 2*t**3 + 2 + t.\nAnswer: -(t - 1)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70.0327mm in centimeters?\nAnswer: 7.00327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 59*a + 7499. What is x(-127)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.03 and -6081?\nAnswer: 6080.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v**2 - v + 1. Suppose -18*d = -23*d - 35. Let o(i) = 6*i**2 + i - 1. Let g be -1 - 6*(-4)\/(-6). Determine d*k(s) + g*o(s).\nAnswer: -2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*j + 8*j - 8*j - 18*j - 10*j + 41*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 8*j + 5*v - 1445, 568 = 2*j + 4*v. Is j a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 622723113 + -4?\nAnswer: 622723107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 - -103.9. Which is the closest to 5? (a) t (b) -3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of a**7\/210 + a**6\/360 - a**3\/3 + 3. Let s(f) be the third derivative of v(f). Suppose s(x) = 0. What is x?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from kukkd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.641429 nanometers to kilometers.\nAnswer: 0.000000000000641429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*g = n - 2784, -5*g - 1389 = -2*n. Let b = n + -407. Is b a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 145*p**2 + 11*p - 17. Suppose -22*t + 36 = -4*t. List the prime factors of o(t).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + 9*q + 9. Let h be d(-9). Suppose 0 = h*y - 6*y - 15. Suppose 4*p - 196 = -4*j, y*j + p = 6*p + 295. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 10010011100?\nAnswer: 10010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11 or -6?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -216 and -0.3.\nAnswer: 64.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - -2) + (-140 - -128).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 14 = -2*x - 2*b, 4*b - 12 = 0. Suppose -x*h + 41 = -7. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -140512*s - 20514745. Determine g(-146).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 85641575603 take away -0.01521?\nAnswer: 85641575603.01521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/2*(-2)\/4. Suppose -g + 36 = -23. Suppose -5*p - h*j + g = 0, -5*p + 0*j + j + 67 = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75183 divided by 4597.\nAnswer: -75183\/4597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 170 + -172.45. Let k = 2.45 + a. Let h = -3 - -5. Sort 3, k, h in decreasing order.\nAnswer: 3, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -11320?\nAnswer: -11310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 10:21 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*y + 4*y - 1, 3*y = -w + 3. Let m(f) = -5*f. Determine m(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dx when two letters picked without replacement from {h: 2, n: 4, k: 1, d: 3, x: 4, g: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uouo when four letters picked without replacement from ouooooooouu.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4327*b = 4344*b - 2*n + 23, -b - 2*n = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02577264*5.\nAnswer: -0.1288632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*m**3 + 762*m**2 + 14592*m + 2888.\nAnswer: 2*(m + 38)**2*(5*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 59902 times -0.2\nAnswer: -11980.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (2 + -8 - -12).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 329, 1396, 3187, 5708, 8965, 12964, 17711?\nAnswer: 23212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 123a + -1bb38?\nAnswer: -1a8ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215\/3077 - -2\/181. Which is the closest to 0? (a) h (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3*f - 2*x = 10, -4*f - 1 = 3*x. Suppose 2*h = 7*q - 3*q + 2, 2*q + 6 = f*h. Suppose -9 = p - q*p. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2121020201 (base 3) in base 12?\nAnswer: -25777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(190) + sqrt(190) + sqrt(190)*-1) - sqrt(190)) + (sqrt(190)*1 + sqrt(190))*4)\/(sqrt(360) + (sqrt(360) - 1*sqrt(360)*5)).\nAnswer: -sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a centimeter in millimeters?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 6. Let r = 14\/17 - 132\/119. Let a = -0.06 - -0.36. What is the nearest to 2 in r, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 20854 + 8709 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -200021201 (base 3) to base 12.\nAnswer: -786a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137570 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -2, 3, -3, -1, -5, -24 in decreasing order.\nAnswer: 6, 3, -1, -2, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -177 + 180. What is the nearest to -2 in -2, g, -37?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 411342314 to the power of 1\/3, to the nearest integer?\nAnswer: 744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -46. Suppose 2*z - 5*z = -m. Solve 5*b + 3*c = z, -b - c - 3*c = 3 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 4*g + 257. Let b = -65 - g. Calculate the remainder when 138 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 9*d + 12. Suppose -151 = 13*s - 73. Determine j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 6*u**2 - 698156*u + 232718 = 0?\nAnswer: 1\/3, 116359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -137944925 divided by -5?\nAnswer: 27588985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000566448 to 6 dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 - -28. Let x be o\/6*(-18)\/192. Is -1 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -33.9 and 4.\nAnswer: -29.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 93034 (base 15) in base 2?\nAnswer: 1110001101110000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/(-85))\/(13433\/1010).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60874*b**5 - 195*b**3 - b**2 + 6907772*b wrt b.\nAnswer: 3652440*b**2 - 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**3 + 3*z**2 - 3*z + 9. Is x(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/7126 and 47\/356300?\nAnswer: 356300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -33*y + 1 + 73*y - y**3 - 38*y. Let p(t) = 17*t**3 - 4*t + 178. Let x(b) = p(b) + 2*r(b). What is the derivative of x(u) wrt u?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-100) - (-1107)\/(-2100) - 2\/8?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 5*a - 131*q + 130*q, -4*a + 35 = -3*q. What is the fifth biggest value in 1\/5, 2\/9, -4, 3, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*n**3\/5 - 72*n**2\/5 - 54*n - 60.\nAnswer: -6*(n + 2)*(n + 5)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(76)*1)\/sqrt(4) + 4*(0 + sqrt(19))*4)**2.\nAnswer: 3211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-3)\/p**(-3\/7)*(p*p**(-7\/2))\/p**(-4) assuming p is positive.\nAnswer: p**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**3 - 3*k + 43. Let h(p) = -5*p**3 - 2*p + 42. What is 3*b(c) - 4*h(c)?\nAnswer: 2*c**3 - c - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-10))**(-1\/20))**(-4\/3) assuming r is positive.\nAnswer: r**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -5. Suppose 3*o + k*a = -4 - 2, 4*o + 3 = -a. Suppose o = 2*i + i - 27. Calculate the remainder when 25 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3467, 13864, 31193, 55454, 86647?\n\"Answer: 3466*j**2 - j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*v + 10, 0 = 5*s - 2*v + 4 - 34 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 4:33 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4014 - 1637. Is l a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -1\/883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104400, 106453, 108534, 110655, 112828, 115065, 117378, 119779?\nAnswer: 122280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 5 (c) 4 (d) -0.7 (e) -1201 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/r**(1\/3)*r*r)\/r)**(-4\/3) assuming r is positive.\nAnswer: r**(-32\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 2*b**2 + 6922174*b + 145364772 = 0.\nAnswer: -3461066, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*h - 94*h. Let v(g) be the second derivative of h*g**3 + 7\/12*g**4 + 0*g**2 + 0 + 4*g. Let f(a) = 2*a. Give v(f(d)).\nAnswer: 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 + 2.97. Let f = g + -2.5. Which is the biggest value? (a) -5 (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 = -4. Let d(g) = -g**2 - 8*g + 0 - j + 5. Calculate the remainder when d(-7) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 142 = -8*y. Let g = -910 - -913. Calculate the highest common factor of y and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324926823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c + 2*c + 2*c. Let s(b) = b - 2. Let w(i) = 5*i - 9. Let f(d) = 9*s(d) - 2*w(d). Give f(o(r)).\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 2*y - 1. Let r(d) = -3*d + 2. Let t(v) = -3*l(v) - 2*r(v). Let h be t(1). Does 5 divide 1302\/28*h\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 + -96. Factor -4\/15*p - 2\/15*p**2 + d.\nAnswer: -2*p*(p + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + l**3 + (-2 + 1 + 0)*(535*l**3 - 77*l**3 + 413*l**3) in the form r*l**3 + j + z*l**2 + b*l and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 4*g**2 - g**2)*(21*g + 0*g - g).\nAnswer: -160*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3703073 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11724701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 + b + 2. Let s(r) = r**3 + 3*r**2 + 3*r + 5. Suppose 4*c + 30 = 22. Give c*s(q) + 5*i(q).\nAnswer: -2*q**3 - q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/20, 1, 0.2, 0.5?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 540\/563 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + b8ce5?\nAnswer: b8ce9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 13197?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 11*w - 18. Let c be m(12). Let r = c + 53. Suppose r = 2*i - 1. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.6 - -1.02. Let c = 2843941 - 2843940.4199953. Let i = s + c. What is i rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*-4 + 2.\nAnswer: -24*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -80044 - -962?\nAnswer: -79082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/822648 and -31\/10.\nAnswer: 4113240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 1754*v - 18. Determine i(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h = -10. Let d be 72\/(-96)*h\/3. Let o = 5 - 7. Which is bigger: d or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 217, -1\/2003, -3, -1\/459 in descending order.\nAnswer: 217, -1\/2003, -1\/459, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1095)\/60 + 144\/(-7 - -15). Let f be -4*1\/3 + 1. What is the second biggest value in f, s, -3\/29?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t - 29*t + 7*t - 30744. Are -4392 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-123 + 4)\/(2\/(-2)). Suppose -73 = -3*z - m - 3*m, 4*m - l = -5*z. What is the remainder when 67 is divided by z?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16949\/7 - -2425. Is l at least 2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 0*m + 2*m, x - 5*m = -5. Suppose x = -v - 0*v. Sort 3, v, -1 in decreasing order.\nAnswer: 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.256336 millennia to months.\nAnswer: 63076.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 2*o - 3*o)*((3 - 5 + 0)*(-3 + 1 + 3) - 7 + 5 - 26).\nAnswer: -90*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3985 divided by -5\nAnswer: 797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 + 3928 = 26*t. Suppose -r + t = 3*j - 155, -r - j + 307 = 0. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41*f**3*k**3*m + 586*f**3*k**3 - 3*f*k**3*m wrt m.\nAnswer: -41*f**3*k**3 - 3*f*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 6\/13, -33938, -47?\nAnswer: -33938","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/23331 and -29\/1681953.\nAnswer: 18501483","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65, -75, -87, -101, -117, -135, -155?\n\"Answer: -v**2 - 7*v - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-270)\/40 + (0 - -5)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 468555 (base 12) to base 15\nAnswer: 176188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from neenennennee. Give prob of picking 1 e and 1 n.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 9*k + 19*b + 78 = 0, -398 = 4*k - b - 406 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 x when two letters picked without replacement from {x: 4, g: 4, r: 10, y: 1}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -401*h**3 - h**2 + 271*h**3 + 2*h**2 + 2*h - 267*h**3 - 420*h**3 to the form p + k*h**3 + j*h + s*h**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -8. Let a = 13 + l. Suppose -3*y - 2*x + 0 + 6 = a, 0 = -2*x. Solve -2*h = -h - y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 - 4*r**2 + 2*r + 3. Let u be j(3). Suppose x = -u*x + 610000. Round x to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**4\/24 - d**3\/6 + d**2. Let i(h) = -4*h**2 + 3*h + 3. Suppose -23 = -5*x - 28. Calculate x*i(v) - 3*q(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -89, -175, -261, -347, -433, -519?\n\"Answer: -86*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 104 - 53 - 4*o + o**4 - 49 - 2*o**3 to the form y*o + j + a*o**3 + l*o**4 + d*o**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of -m**8\/280 - m**7\/75 + 2*m**5\/75 + 3*m**2 + 6*m. Let c(b) = 0. Calculate b.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttb when three letters picked without replacement from {b: 2, t: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 634858 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 3*u + 1. Let q(h) = h - 3 - 6*h - h - h**3 + 7*h**2. Suppose 3*s = 12 + 6. Let n be q(s). Determine j(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -119.5 + 120. What is the smallest value in -0.4, -0.1, -2\/3, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 t, and 1 n when three letters picked without replacement from {r: 3, n: 2, s: 1, t: 1, p: 1, e: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 0 - (-1 - (-3 + (-3 - 3))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.0306 - 7.3294. What is v rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6505179171 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 36*d**2 + 2. Let n(u) = -4*u**2. Determine n(a(z)).\nAnswer: -5184*z**4 - 576*z**2 - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {z: 1, h: 3, f: 3, t: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4 = 3*s. Let o(r) be the second derivative of 0*r**s - 1\/3*r**3 - 1\/12*r**4 - 3*r + 0. Determine z, given that o(z) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14573.\nAnswer: 13, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgpxg. What is prob of picking 1 b and 1 x?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79.61 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.141727 and -8?\nAnswer: -1.133816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w. Let l(v) = 5*v + 7. Let s(p) = 9*p + 15. Let n(k) = 7*l(k) - 4*s(k). Determine b(n(m)).\nAnswer: m + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -23, -1, 0.5, -51\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -15 + 10. Let c(j) = 32*j - 4. Let g be c(4). Suppose 3*o = m*y + 396, o - 8 = 5*y + g. Calculate the highest common divisor of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0581792*-32.5.\nAnswer: -1.890824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -759*v**2 - 8*v**3 - 1 + 1 + 766*v**2 - 5*v. Let b = -6 - -10. Let y(t) = 9*t**3 - 6*t**2 + 5*t. Let m(k) = b*i(k) + 3*y(k). Solve m(w) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4155087577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 - ((-12)\/16 + -5). Let -h*k**2 + 21\/4*k - 9\/2 = 0. Calculate k.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + sqrt(176) + (sqrt(176) + -2 - sqrt(176))*-3 + sqrt(176))**2 + 0 + -2*sqrt(11) + 1.\nAnswer: 142*sqrt(11) + 1621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -124989.2449057 + 125061.2449. Let k = 72 - f. What is k rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a century in months?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/(-12)*240\/750*((-20)\/(-8))\/1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -542.232762 and -5.\nAnswer: -547.232762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-255)\/136 + 440\/320\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 h when three letters picked without replacement from {h: 1, s: 12, m: 1, a: 1}?\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**5\/60 - 2*f**3\/3 - 2. Let p(v) be the third derivative of o(v). Let h(r) = 2*r. Give p(h(l)).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - -0.1. What is the closest to -1 in -4, -5, 6, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from bbkbbcbckbcckbbikc.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of 0*w**2 + 7\/4*w**4 + 3 + 1\/2*w**6 + w - w**3 - 27\/20*w**5 - 1\/14*w**7. Let i(m) be the first derivative of r(m). Factor i(c).\nAnswer: -3*c*(c - 2)*(c - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**3 - k**2 + 5*k + 1. Let c be p(-2). Suppose -2*x = 19 - c. Let d(t) = t**3 + 8*t**2 + 2*t + 9. Determine d(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 6*b - 1. Let d be x(-8). Suppose -4*u = 4*o, -4*o + 6 = 2*u - 0*u. What is the greatest common divisor of d and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/20 of a kilometer?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -0.2, 120.3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666208 is divided by 133.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/2 - 1\/6. Which is smaller: 9 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7335693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 + 4*w**2 + 14*w - 7. Let f be r(6). Solve 3*x + 3 = 3*v, -f*v = -0*x + 3*x + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**3\/6 + 2*s**2 - 3*s. Let k be i(-5). Let r = 0.3927 - -0.6073. Which is the nearest to k? (a) -0.5 (b) 0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*f + 129 + 151 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**2 + 1400*f - 2*f**2 + 20*f + 1418 - 6*f**2 = 0 for f.\nAnswer: -709, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**2 - j**2 - 3*j**2 + (0*j**2 + 4*j**2 - 8*j**2)*(-1 + 2 + 0) + j**2 + 3*j - j**2 + j**2.\nAnswer: -5*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/5 and (-12)\/78 + (-501)\/(-299).\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 183 - 1377 = 0. Suppose 8*r = 18*r - x. Suppose -23 = -5*m + r. What is the least common multiple of 18 and m?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**3\/3 - 9*n**2\/2 - 14*n + 4. Calculate the remainder when r(12) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a micrometer in nanometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18377*w**2 + 18377*w**2 + 39807*w**3.\nAnswer: 39807*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 6*i**2 - 98*i - 47. What is the hundreds digit of j(16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/16 of a week in minutes?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 10 + 4. Let j = 33 - 23. Which is the second smallest value? (a) q (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f - 8. Let p be 5 - (4 - 2)*1. Let d be -1*(6 - (p + -3)). What is the units digit of b(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/68 and -71\/9843.\nAnswer: 39372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 + 0.3. Let d = 2.9 - 3. Let a = d - u. What is the biggest value in 4, 0, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -152*y - 12. What are the prime factors of r(-2)?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2677 + -2587)\/(2 - 6\/2)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 153, 804, 1895, 3432, 5421?\n\"Answer: y**3 + 214*y**2 + 2*y - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 3, 27 in ascending order.\nAnswer: -4, -3, 3, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(0 + 1) - 2. Let m = 1252 - 1252. Which is smaller: h or m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72594)\/(-9990) - (-12)\/(-45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/(-21))\/((-2)\/(-14)). Suppose 5*m - u = -8, 0*m + n*m = u - 2. Let p be ((-10)\/3)\/(m\/3). Solve -3*h = -p*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*b - 71 + 124 = -91 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2\/11, -180, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {m: 2, d: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119058.\nAnswer: 2, 3, 19843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 73799953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**5\/20 + n**4\/6 - n**3\/6 - 4*n. Factor m(t).\nAnswer: -t*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 136.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5*sqrt(288)*1)**2 + (2 + 2 + sqrt(288))**2 + -1*(sqrt(288) + -1 + -4)**2 + -4.\nAnswer: 216*sqrt(2) + 7187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 - -12. Let j = 0.9 + -5.9. Let u = j + 4.6. Put 1, y, u in descending order.\nAnswer: 1, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 2:48 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2788864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -172.\nAnswer: -3\/172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60*7\/(196\/16)*7 and 40.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = r - 1355, 4774 - 676 = 3*r + 5*o. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 533 - 363. Let b = -120 + q. Suppose 4*v = -v + b. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472 a factor of 4216493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*l**4 + 2*l**2 - 1122*l wrt l?\nAnswer: -2604*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 42.14021258 rounded to 1 dp?\nAnswer: 42.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1135819.209 rounded to the nearest 10?\nAnswer: 1135820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 5*f**2 - 2*f + 2. Let w be i(4). Suppose 0 = 2*x - 4*k - 3 - 9, 4*x = 2*k + 12. Suppose -3*j + w = x*j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -1, 0, -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317912.\nAnswer: 2, 7, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 106701859 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8223953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17\/(-11)*385\/(-35). Sort -5, 428, j.\nAnswer: -5, j, 428","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 12:32 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (154\/12 + (-3)\/(-18))\/1. Are 10 and p equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5444 (base 10) in base 5?\nAnswer: -133234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 653776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -i**6\/360 - i**5\/45 - i**4\/18 - i**3 - 79*i + 120. Let a(l) be the third derivative of z(l). Find r, given that a(r) = 0.\nAnswer: -2, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 + 1fd0?\nAnswer: 1fca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 5 - 8 + 12 + 6*d**2 to the form i*d**2 + t + v*d and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -128*d. Let p(w) = 14*w**2. What is p(c(b))?\nAnswer: 229376*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 12:16 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1505776 - -55?\nAnswer: -1505721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152056 and 44884.\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*z + 30, 5*z = 5*p - 3*p - 34. Let m be (p - 4)*(3 + -2). Find the first derivative of 2 - a**3 - a**3 + m*a**3 + 5*a**3 wrt a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -6, 3, 4, -1, -37 in descending order.\nAnswer: 4, 3, -1, -3, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -55*m**3 - 25. Let p(s) = -9*s**3 - 4. Let v be (-3)\/3 + (-55)\/(-11). What is v*n(j) - 25*p(j)?\nAnswer: 5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m - 2. Let d be u(-3). Suppose 5*b + w - 54 = 2*w, -w = 2*b - d. Let i = b - 4. What is the greatest common divisor of i and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22*55\/(-330))\/((-220)\/8).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 28929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 218721 is divided by 3045.\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 672.7 + -675.7. Which is the smallest value? (a) i (b) 0 (c) 2 (d) -1\/83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -8*m**3\/3 + 35. Let j(p) be the third derivative of -p**4\/8 + 4*p**2. Calculate j(s(v)).\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 20348668 divided by 2\nAnswer: 10174334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (126\/4)\/((-6)\/(-8)). Let p be 2\/10 + 69\/5. Calculate the greatest common divisor of j and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 3*i - 113, 3*h - 2*i + 7*i = 71. Let m be 88\/6*45\/300*10. What is the greatest common divisor of m and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2450*b**3 + 32*b**2 - 17*b - 17. Let v(a) = -817*a**3 - 11*a**2 + 6*a + 6. Give 17*v(y) + 6*x(y).\nAnswer: 811*y**3 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*d*l**2*y - a*d*l**2 + 4301*a*d*y + a*d - a*l**2 + 4*a*l*y - 3*d - 1167*l**2 + 8*l wrt y.\nAnswer: a*d*l**2 + 4301*a*d + 4*a*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33210?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - 3*w + 3. Let y be g(-3). Suppose -s - 18 = -y*s. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/6 + 99\/6. Suppose b - 4 = 3*f. Differentiate f + q**4 - 4*q**2 + 4*q**2 - 3*q**4 with respect to q.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296174 is divided by 2334?\nAnswer: 2090","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 7. Let c = x - 12. Solve 1 + 1 = -2*m, 2*m = 5*t + c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 - -10. Let p(k) = -4*k**2 + 2*k**3 + 64 - 30 + 2*k**2 - q + k. Let t be p(-1). What is the biggest value in 2\/3, t, 0?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1474 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2. Let c(f) = 10*f + 10. Let a(v) = 5*v + 6. Let h(y) = 5*a(y) - 3*c(y). Calculate g(h(o)).\nAnswer: 50*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20\/3 (b) 5 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 550 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 > 0.4855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (2 + -11 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0063255859 to 6 dps.\nAnswer: 0.006326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73, -153, -233?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3990605, -3990615, -3990627, -3990641, -3990657, -3990675, -3990695?\nAnswer: -3990717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-416)\/91)\/(106\/(-1855))?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 87 and 841.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 14*t + 3*t**2 + 2*t + 21*t - 67. Does 16 divide f(-17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9673 (base 10) to base 15\nAnswer: 2ced","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1492.\nAnswer: 1\/1492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -12787 != 73\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v - 12 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.042 (b) -3.94 (c) 1 (d) -9 (e) -16 (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 3*w = -3 - 5, l = 5*w - 16. Let d = 4 - l. Solve d = 3*k + k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28273*0.3\nAnswer: 8481.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.268 times -125.21\nAnswer: -33.55628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 148\/3 (b) 0.4 (c) 5.9 (d) -2\/11 (e) -25 (f) -48\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3 + 4 = -3*f, -2*j - 13 = 3*f. Is -3\/2 not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1492931 times -44.2?\nAnswer: -65987550.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppkz when four letters picked without replacement from pzbbzkczzzzbzppzpz?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.733 + 0.333. Let s = -0.1 + 0.5. Which is the biggest value? (a) t (b) s (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/45 + 0)\/((-9)\/60)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*b = 81*b - 30 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135690 = 4*l - 29834. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 9:18 AM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13720, 13750, 13800, 13870, 13960?\nAnswer: 14070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 738, 737, 736, 735, 734?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*y + 14 + 10, -4*x + 32 = 4*y. Let p = -5 + x. Suppose -9 = -4*j - h, j - p*j - 2*h + 6 = 0. Solve 0 = j*d - 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 18*h**2 - 2*h**2 - 5*h**2. Let m(p) = p**2. Give b(m(f)).\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27440 - 27440.00030461. Round x to 6 dps.\nAnswer: -0.000305","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139788220 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2254 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6035088123.\nAnswer: 3, 19, 29, 1216997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2*c. What is d(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24438 or -24430?\nAnswer: -24438","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 138?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 0.1, 0.2, 15, -1\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 1. Let w = 7 + -11. Sort f, w, -5 in descending order.\nAnswer: f, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3\/7 + 360*r**2\/7 - 7522*r\/7 - 113220\/7 = 0. Calculate r.\nAnswer: -10, 37, 153","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of o**9\/30240 - o**8\/8960 + o**6\/2880 + o**4\/12 - o. Let n(u) be the third derivative of l(u). Factor n(a).\nAnswer: a*(a - 1)**2*(2*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -5. Let m = -66399 - -331994\/5. Which is the closest to h? (a) -2\/13 (b) -39 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 3*g**2 + 10 - g)*(-2*g**2 - 4 + 4).\nAnswer: -6*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -3*d. Let s(i) = 3*i. Let v = -17 + 23. What is v*m(f) + 5*s(f)?\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5131 - 5049. Solve -23*t + 33 = -z for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32212?\nAnswer: 2, 8053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 115 (base 10) to base 4\nAnswer: 1303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 19, x: 1}. Give prob of picking 1 x and 2 e.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 9:30 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 - 14*o - 4. Let m be x(4). Let r(w) = 4*w**2 + 0 + 10 - 15*w + 2*w**2 + m*w. What is the remainder when 86 is divided by r(-7)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12327\/28*64\/6?\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -2*g + 121. Calculate z(-28).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Suppose 0*m - 5*m - 4*p = -18, 3*m + 2 = 4*p. Let k(b) = 127*b - 127*b - 16*b**2 + 56*b**m. Determine w(k(t)).\nAnswer: 1600*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017705595353 minus 4?\nAnswer: 1017705595349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-132)\/77*7\/2*(-105)\/(-270).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (9 - (17 - 8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*p - 2*i + 11, -15 = 5*p - 3*i. Is 2 + 6668 + (-9)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -5*w - 4*c + 131, -3*w - 2*c + 244 = 0. What are the prime factors of w?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*l - 36*l + 19*l + 99 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22.9 - -22.8. What is the second biggest value in -0.5, -1\/15, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 8*h**2 - 9*h + 6. Determine k(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11357460, -11357468, -11357482, -11357502, -11357528?\nAnswer: -11357560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/((-12)\/(-435)). Let k = 15 + z. Let j = 4.33 - 4.34. Is k at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -407 - -412. Solve -3*d = 17 - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 12*n - 13. Let z(r) = r - 1. Let a(l) = j(l) + 2*z(l). What is the first derivative of a(w) wrt w?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 117792?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2023350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 11. Let k be g(9). Suppose -3*u = -4*p, -3*u = u - p - 13. Suppose -14 - k = -u*c. Calculate the highest common divisor of 32 and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101000110011 (base 2) to base 9\nAnswer: 3521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1477 and 0.106950124.\nAnswer: -1476.893049876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12\/(-6) + (0 - -133)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + sqrt(720)*1 + (sqrt(80) - sqrt(20)))**2 + 4*(sqrt(320)*-1)**2 + (-1 + sqrt(320))*-3.\nAnswer: -24*sqrt(5) + 4663","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3258 divided by 8.\nAnswer: 1629\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 709.\nAnswer: 14\/709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29466 or -29472?\nAnswer: -29466","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1994918 and 1199.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2892 is divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -31*f**3 - 11*f**2 - 11*f - 105. Let s(m) = 23*m**3 + 8*m**2 + 8*m + 79. Calculate 8*h(q) + 11*s(q).\nAnswer: 5*q**3 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -a - 61*c + 62*c, -3*a - 5*c + 25 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-9))\/((-6)\/81). Let n = u - 37. What is the least common multiple of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 2*f + 5, -65 = -5*f + 3*q - 0*q. Suppose -f = -5*l, -2*l = -o + 5 - 75. Let z = o + 136. Does 14 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 - (-202)\/4. Let a be (-1)\/(195\/l - 4). Suppose -6*z + 1240000 = -a*z. What is z rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5561456 - 5561456.63999976. Let d = 0.64 + b. What is d rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6*l + 4. Let n(y) = 24357*y**2. Determine x(n(z)).\nAnswer: 146142*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(5) + 1)**2*1*-4.\nAnswer: -21 - 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 4:35 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and 0.95.\nAnswer: 23.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 24 = -2*a, -4*m + 110 = -3*a + 76. Calculate the highest common factor of 2890 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 2\/5*k**5 + 129*k + 0*k**3 - 49 + 0*k**2 + 2*k**4. What is the first derivative of c(b) wrt b?\nAnswer: 8*b**3 + 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-227 + 227 + 480*r)*(0 + 0 + 1) + (-1 - 2 + 0)*(3*r - 2*r - 3*r) as s + a*r and give a.\nAnswer: 486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - 2*9\/(-6). Solve f*n + 8 = -12 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -p**10\/720 - p**6\/360 + p**3 + 4*p. Let h(n) be the second derivative of b(n). What is the third derivative of h(f) wrt f?\nAnswer: -840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 8. Suppose 4*b - u = -0*b. Let t = 5 - b. Calculate the remainder when 5 is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1404)\/sqrt(3) + 0)*3)**2.\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67290 is divided by 67284.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4 = 16. Suppose -2*p - f = 151, -6*p = -p + u*f + 376. Let o = p + 131. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 3468246.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2262826067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/(-4*3\/(-24)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 0) + (-144 - -143).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((1 + sqrt(320))*-3)**2 - sqrt(320))*4 - -3*(sqrt(320)*-2 + -3 + -2*sqrt(320)*-1).\nAnswer: -11565 - 544*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14627.1 to the nearest one hundred.\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 6*h + 7. Let n be v(-4). Let w be -1 - (-2 - n)*(-4 + 7). Solve -2*q + 9 = q + 5*o, 0 = 3*q + w*o - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 118 = 108. Let m be (16\/r)\/(12\/(-450)). Let u be 4\/(-2) - (-53 + 3). Calculate the highest common divisor of m and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 18*h - 552. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w - 33. Let b be v(-7). Suppose -2*x + n - b*n = -34, 0 = -2*n. What is the remainder when x is divided by 10 + 1 + (-1 - 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1443 + -771. Which is smaller: y or 673?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 10. Suppose -2*m = -0*m. Which is smaller: m or u?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 - 6*b**2 - b + 2. Let s be v(6). Let i(o) = o**2 - 4*o + 4. Let z be 1 + -1 + -2 + 5. Let u(x) = x**2 - 3*x + 3. Calculate s*u(w) + z*i(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 5*n**2 + 6*n - 4. Let j be a(4). Let u(v) = v**3 + 7*v**2 - v - 4. Let h be u(-7). Solve j*x + h = 19 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 64*l**2. Let b(c) = 5*c**2. What is b(z(y))?\nAnswer: 20480*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b + 20 = 2*b + 4*t, 0 = 3*b + 2*t - 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1226811, 5, 4 in descending order.\nAnswer: 5, 4, -1226811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-888)\/90 + 5 - -5)*(-40)\/32\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 2*d + 5*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u - 16676 = -17424. Calculate the greatest common factor of u and 2629.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l - 2. Determine b(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*t = -89 + 362 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4330*i - 7492 = -46624 + 6183 - 88291 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.8 - -6.54. What is r rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1381815 is divided by 2688.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 26*i**2. Let f(s) be the first derivative of -s**2\/2 - 1. Calculate h(f(y)).\nAnswer: 26*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5675*y**6 - 94*y**2 - 2*y?\nAnswer: 681000*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (24\/1080)\/(2\/(-215)) and 51\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*15\/(-10)*38\/(-855)*-30\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163567934 is divided by 359?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25470?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6*s**3 - 2*s**2 + 1. Let l be v(-1). Suppose l*x = 35 + 90. Suppose x + 7 = -2*o. What is o rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -729 and -0.4.\nAnswer: 291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142622298 and 39617305.\nAnswer: 713111490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2765*g - 5530*g + 2765*g + 343*g**3.\nAnswer: 343*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -16 from -1579441798762.\nAnswer: -1579441798746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7008 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53607 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73080 = -255*u + 1095*u for u.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 149273755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a - 8*a + 89*a**2 - 24*a**2 - 45*a**2 + 93*a**2.\nAnswer: 113*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 152? (a) -4 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.2 - -30.31. Is n less than or equal to -0.006?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16632934 times -4?\nAnswer: -66531736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v = -5*v - 8424. List the prime factors of v.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105 divided by -304\nAnswer: 105\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 37 = -3*k + 29*r - 22*r, -2*k + 274 = -34*r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 37\/(-2) + 7\/14. Let k(i) = -i - 33. Let r be k(p). Let l = r + 44. What is the remainder when 113 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2360 - 2369 = 9*b. Is b at least as big as 1\/285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56 and -203.5.\nAnswer: -11396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4749 - -4746. Is -58\/13 <= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.026*-0.5.\nAnswer: -1.513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -113*q + 9880. Calculate w(83).\nAnswer: 501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 60 + -57.3. Let j = 3 - s. What is the third smallest value in -2\/5, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 - -0.3. Let f = -2.758 + -0.242. What is the biggest value in s, 4\/3, f?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.364163436 to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the third derivative of 0*l - 20*l**2 + 1\/30*l**5 + 19\/120*l**6 + 0*l**4 - 1\/3*l**3 + 0. Calculate the smallest common multiple of n(1) and 7.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 714.987s?\nAnswer: 11.91645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.215 times 40?\nAnswer: -8.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 5*v**2 + 2*v - 8. Let c be x(5). Put -5, -4, 3, c in descending order.\nAnswer: 3, c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27839983 to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 16 = 4*v, -3*r + 30 = 4*v + 7. Suppose -2*i + 9 = -o + 3, 2*o + 3 = -v*i. Which is greater: i or -2\/1077?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3617 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-47)\/7 - 10\/35. Let g be 7\/z - 8\/(-6). Let n be ((-22)\/363)\/(((-2)\/3)\/(-2)). Which is the second biggest value? (a) n (b) -3 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 3)*(-30 - 2*j**3 + 26 - j**3 - j**2) to w*j**2 + o + k*j + g*j**3 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 2*h**2 + h + 0 - 2)*(11*h + 6*h - 22*h).\nAnswer: 15*h**3 - 5*h**2 + 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3*2)\/((-21558)\/614403).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3661 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.46351ng in kilograms?\nAnswer: 0.00000000007246351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2266 - 1390. Suppose -11*g = k - 3879. What is the greatest common factor of g and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + -1 - (-76)\/19. Solve j*l - 3*l = -1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3024 and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15768 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43199 is divided by 120?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 4*d - 26, 3*f - 3*d + 4*d = 19. Suppose -a = -3*y - 3380, -3*a + f*y + 10158 = 2*y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.4169*-31.5\nAnswer: 76.13235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -695739.\nAnswer: 278295.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5562\/636 - 9)*(1 - -1). Is -2 less than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 19, 45, 85, 139, 207?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 6:00 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/9)*t*t**(-23))**(-27\/7) assuming t is positive.\nAnswer: t**(591\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*s = 524 - 756 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -8. What is the remainder when 12 is divided by 42\/f*6\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 1)*(5*y + 20*y - 2*y).\nAnswer: -23*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**2\/4 - 21405*j\/2 + 91634805\/4 = 0. What is j?\nAnswer: 4281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 + 20*x + 2. Suppose -b = -16 + 12. Let y be k(b). Suppose 21*q - y*q = 276. What are the prime factors of q?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 122854, 122921, 123040, 123217, 123458?\n\"Answer: d**3 + 20*d**2 + 122833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -16637*m - 898276. Calculate o(-54).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 6 = -2, -5*b = 2*v - 12472961. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5513696 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-5\/7)\/s*s)\/(s\/(((s**(-2\/19)*s)\/s)\/s)*s))**(2\/13)*(s**(5\/3)\/s**(-2\/7))**(-4\/3) assuming s is positive.\nAnswer: s**(-47258\/15561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3*6.28091.\nAnswer: -8.165183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxexex. Give prob of sequence xexx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-44)\/(-16))\/((-3531)\/(-856))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2514 and 7961.\nAnswer: 47766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/152 and 69\/88.\nAnswer: 1672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 304?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -26236 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhho. Give prob of sequence oh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - -2 - 2) + 1. Suppose 2 = i*l - 2*l. Suppose w - a - 39 = a, 0 = -l*w + a + 72. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 8, g: 1, k: 6}. Give prob of picking 1 a, 1 g, and 1 y.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**6\/24 + 15*x**5\/4 + 1125*x**4\/8 + 5625*x**3\/2 - 212*x**2. Solve c(r) = 0 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180, -162, -144, -126, -108, -90?\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*v + 1. Suppose u + u = -3*b + 86, 2*u = -v*b + 88. Is 46 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 389*w = 402*w + 24947 - 64805. What is the least common multiple of w and 14?\nAnswer: 3066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 291264 + 2?\nAnswer: 291266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11859150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbvmvvzvrbbxzvzzvb. Give prob of sequence bbxm.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1473493?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-10)*2\/8. Let h(y) = -y**2 + 5*y - 2. Let i be h(5). Let f be ((-24)\/21 + 1)*i. Which is the nearest to 1? (a) f (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*t - 58*t = 758 + 2182 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(34) - (sqrt(2754)*-1 + sqrt(2754)))*5)\/((sqrt(128) - (sqrt(128) + (-2*sqrt(128) - sqrt(128) - sqrt(128)))) + sqrt(288)\/sqrt(9)).\nAnswer: 5*sqrt(17)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(396)*3 - (-3 + -3*sqrt(396)).\nAnswer: 3 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3767 to the power of 1\/2, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 5:47 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -q - 15, 2*x = 31*q - 29*q + 6. Let t be (29\/(-3))\/(1\/(-3)). Suppose 6 = -2*l + 3*a, -q*l - 6*a + a + t = 0. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3420 divided by 855\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 2*o**2 - 26 + 10.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 33 = -30 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, f: 6, i: 2, d: 3, x: 1}. Give prob of sequence bx.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 - 92370*r + 1753947.\nAnswer: 3*(r - 30771)*(r - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((4 + (-1 + sqrt(180))*3 + 4)*3 + 0)**2.\nAnswer: -44415 - 4860*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -16, -0.022, 15, 0.2?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 45. Let p(a) = -26*a + 235. Let o(d) = 3*l(d) + p(d). Give o(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2600040629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 + f**2 - f**2 + (-5 + 5 + 11*f)*(-131*f + 229*f + 3 - 1) in the form t*f**2 + m + l*f and give t.\nAnswer: 1081","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - s**2 + 3*s + 6. Suppose -83*m = -78*m + 10. Let v be r(m). Solve 0 = -4*o + v for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12232448 is divided by 451?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from oyj?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**3 - 11*l**2 - 6*l + 9. Determine r(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 3*o + 18. Suppose -6*y - 3 = 33. Let t be a(y). Suppose -3*n + 4*z + 0*z + 113 = t, 3*z - 12 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 - 5*q + 21. Let t be p(-8). Let c(o) = -o. Let j be c(-2). Let u be t - (8\/12)\/(j\/(-9)). Solve u = -2*v - 2*v - 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.94*0.9.\nAnswer: -0.846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**3 - 6*q**2 - 3*q. Let o(n) = 1322 - 1322 + n**2 + n. Suppose 50 = -f - 4*f + 4*g, -f + 9 = 3*g. Calculate f*o(b) - p(b).\nAnswer: -2*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of 0*z - 3 - 3\/2*z**2. Calculate r(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qsqyqqsqdysyysysyyqs.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a litre in millilitres?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004053 rounded to 5 dps?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 3*a + 2*a. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 + 0.3. Let y = 30 + -30. Which is the nearest to 0.1? (a) l (b) -0.2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*(((sqrt(136) + sqrt(136) + 3*sqrt(136) - sqrt(136)) + sqrt(136))*3 - sqrt(136)))\/(sqrt(288)*-3*4*-6).\nAnswer: 7*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.7 and 0.098?\nAnswer: -0.2646","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 0.3, 0.4, -4327, -1\/435 in increasing order.\nAnswer: -4327, -0.5, -1\/435, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 39*r + 671. Give o(-52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11\/2 - 5. Suppose 3*z = 2*z - y - 1, 2*z = y - 2. Let r be z\/(-4)*(-8)\/5. What is the second biggest value in 0, i, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*l**6 + 6*l**6 - l**3 + l**3 - 4*l**2 wrt l.\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - 0. Suppose -5*a + 3*w = -18, a - 2*w + 4*w - j = 0. Differentiate 0 - s**4 + 2 + 5 - a wrt s.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1719 - 1719 - 64*m + (3 - 4 - 2)*(4*m - 3*m - 3*m))*(2*m + 4*m - 5*m).\nAnswer: -58*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmxm?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9497455, -18994904, -28492353, -37989802, -47487251?\nAnswer: -56984700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5247396434?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose -s + 3*n + a = -14, 2*n + 15 = s. Suppose h = -3*h - 8, -5*h = -q + 58. What is the remainder when q is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 4*f**2 + 21*f + 4. Let s be c(-12). Round s to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -51 + -13. Round k to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -196?\nAnswer: 3\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*d - 11, 4*d + 3*b - 17 = 3*d. Solve 5*i = -d*t - 5, -4*i = -3*t + 8*t + 3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 20 = -24*m. Let l(x) = -24*x**2 - 35*x**m - 7*x**2 + 10*x**2 - 2*x**2. Let f(g) be the second derivative of -g**4\/12 + 3*g. Give l(f(u)).\nAnswer: -58*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*r - 3*d = 0, 0 = -2*r - d. Suppose r = -14*q - 8*q + 330. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 622698 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1254110251 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 3*y**2 + 6*y + 3. Let c be d(-6). Let f = c - 33. Let v(g) = g**2 - 5*g - 10. Let h be v(8). Calculate the greatest common factor of h and f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**4\/24 + 39*j**2. Determine i(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10347300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 169*a + 6. Let b(x) = 339*x + 11. Let k(j) = 3*b(j) - 5*m(j). Is k(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 168 + 91 = -52, 27 = -3*i - 3*k for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 891*y**2 - 963 wrt y?\nAnswer: 1782*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 2:35 AM?\nAnswer: 9:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -10. Let g(r) = r**5 - r**4 - 1. Let o(t) = -5*t**5 + 5*t**4 + 5*t**3 - t**2 - 8*t. Let f(p) = i*g(p) + o(p). Suppose f(l) = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1255\/69 + 35\/23. What is the common denominator of 121\/30 and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 3*a = 45. Suppose -3959 = -a*f - 4*w, -4*f = f + 3*w - 3963. Suppose q - 3180 = -5*k, -3*q = 2*k - f - 490. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {d: 2, q: 1, e: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i**3 + i**2 - 5*i + 1. Let t be q(-6). Let r = -343 + t. Suppose 3*j = r + 351. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 440512 is divided by 1336.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of 0*l - 3*l**3 + 1\/6*l**4 + 0 - 27*l**2. Let a be m(5). Solve -8 = 6*r - a*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.007993 + 0.0079873629. What is g rounded to seven decimal places?\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 223?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.59 times 65?\nAnswer: 103.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 6076*l + 87 = -6081*l, -v - 8*l - 156 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g**6 + 58117*g**4 + 4270776*g**2.\nAnswer: -1560*g**3 + 1394808*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1 - (0 + 1) - 576\/(-18) and ((-180)\/(-27) - 7)\/(1\/(-90)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 470 + -678. Let j = -41.4811 - -249.3781. Let p = j + u. Round p to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 0 - b + 1\/3*b**3 - 1\/2*b**2 + 1\/6*b**4. Determine c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*m + 196, -5*m + y - 491 = 45. Let z = -45 - m. List the prime factors of z.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 980*m**2 + 11. Let w(q) = -327*q**2 - 4. What is 4*a(i) + 11*w(i)?\nAnswer: 323*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*h**4 + 273*h - 2486 wrt h?\nAnswer: -32*h**3 + 273","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (3 + (-21)\/(-7) - 9)\/(4\/(-1672))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgyqgxtqqxg. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.36796757 to 4 decimal places.\nAnswer: -0.368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6665600836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 n when four letters picked without replacement from {n: 3, h: 1, e: 1, k: 5}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n - 6*n + 2*n)*(-1305 - 1943 + 1018) as r*n + y and give r.\nAnswer: 4460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-918)*17*1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16650, 16885, 17276, 17823, 18526?\nAnswer: 19385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 1, 0, 9, 5, -139 in decreasing order.\nAnswer: 9, 5, 4, 1, 0, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -80.0058?\nAnswer: 40.0029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1096*i**2*t**2 + 2189*i**2*t - 33*i*t**2 - 33*i*t - t wrt t.\nAnswer: -2192*i**2 - 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15952 = 15950?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10522753, -21045453, -31568153, -42090853?\nAnswer: -52613553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 225*s + 11 - 224*s)*(2 - 1 + 1).\nAnswer: 2*s + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -272.2 and 0.773.\nAnswer: -210.4106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 x when two letters picked without replacement from {u: 1, i: 1, p: 1, s: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2. Let c(l) = l**2 + 3*l - 6. Let t be c(-5). Let n be 3 + (0 - (-16)\/t). Let w(i) = 3*i**2 - n*i + 7*i. Give r(w(v)).\nAnswer: 27*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/942?\nAnswer: 1\/942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v - 133749 + 267492 - 133743.\nAnswer: 20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbhh. Give prob of picking 2 b.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1284129, -5136345, -11556705, -20545209, -32101857?\nAnswer: -46226649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000366 to six dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(-13)\/((-39)\/24). Let c be (-38)\/(-14) + 1 - q\/28. Calculate the highest common divisor of c and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**6\/180 + 17*i**5\/15 + 3473*i. Factor n(f).\nAnswer: f**3*(f + 136)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7610?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000886701 rounded to six decimal places?\nAnswer: 0.000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3) - 318\/(-18). Let z(r) = 2*r**2 - 33*r - 17. Let p be z(x). Solve -3*b + 4*g = -p*g + 11, -g + 8 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-2)*2\/1*1?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116162.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -18*i. Let n(q) = -5593 - 5595 + 11188 - q. Give n(o(h)).\nAnswer: 18*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356960*t**3 - 356969*t**3 + 0 + 0.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 j, and 1 s when three letters picked without replacement from {s: 1, k: 1, c: 2, j: 6, t: 2}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1992 - 1983)\/(27\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3328.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 20985 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*r - 39, -3*r - 25 = -4*h - 2. Let a = 4 + h. Solve -a = 2*x + x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 72813 = 3*t, -3*t + 25*u + 72873 = 20*u. What are the prime factors of t?\nAnswer: 24281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 25567 or 25564?\nAnswer: 25564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {g: 2, f: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 83083 to the power of 1\/2, to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**4 + 4*j**3\/3 - 32*j**2 - 64*j + 82. What is n in s(n) = 0?\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-6)\/(r\/r**(-2\/7)))**(18\/5) assuming r is positive.\nAnswer: r**(-918\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 11, u: 3, m: 1}. Give prob of picking 1 u and 1 w.\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 1966 = -2014. Suppose 2*i - t = 11 - 3, -i = t + 2. Suppose u = i*g - 2. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306176?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q**2 + 151*q - 119*q**3 + 17*q**2 - 5*q**2 + 114*q**3 to o*q**2 + f + u*q**3 + n*q and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 9106?\nAnswer: 9106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 45*l - 44*l - 5*f, -5*f + 40 = 3*l. Let a(k) = 4*k - 9. Let j(y) = 7*y - 17. What is l*a(q) - 3*j(q)?\nAnswer: -q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) -0.2 (b) 2 (c) 3 (d) -0.5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 4 = 23*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102*((-3970)\/(-397) + (124\/6)\/(-2)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -34 - 6*t - 39 - 14*t**2 + t**3 - 41 - 38 + 144 as i*t**3 + h + q*t**2 + u*t and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 537*g**2 + 4295*g + 1. Give m(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n - 16*n**2 + 107 + 0*n**2 - 14*n + n**3 - 89 + 46*n. Determine j(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 + 3*r**4 - 4*r**4 + 14*r**2 - 16*r**2 to i*r**3 + z*r**2 + l*r**4 + v*r + b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of -h**4\/24 + 20*h**3\/3 + 4*h**2 - 8. Calculate the remainder when 119 is divided by l(0).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*g - 16*g - 396. What is the highest common divisor of 12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5\/12)\/x)\/x**(-11) assuming x is positive.\nAnswer: x**(115\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + ((sqrt(288) + 2 - sqrt(288))*3 + sqrt(288))**2 + -1*(0 + 4*sqrt(288))).\nAnswer: 480*sqrt(2) + 1615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 10018458484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23262212438 to 4 decimal places.\nAnswer: -0.2326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*sqrt(108))\/sqrt(6)*4)\/((sqrt(108) + 2*sqrt(108)*-4 - sqrt(108))\/(sqrt(12) + sqrt(588)*-2 + sqrt(12))).\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3*h**2 + 14*b**3*h + 2*b**2*h**2 - b**2 + b*h wrt h.\nAnswer: -4*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3471 and 1.65.\nAnswer: 3472.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -227 - 63 = 29*k. Which is the smallest value? (a) k (b) -0.3 (c) -1\/9 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 92 + -91.6. Which is the closest to 2\/7? (a) 7 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 45940919 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -1, -6, 2\/27, -22, 2\/11, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 93*z**2 + 1022*z - 815. What is f(-103)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 176291 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/4 + (-26)\/(-8). Suppose -2*g + 2 = -q. Suppose -g + 17 = 2*x. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 2*w**3 + 11*w - 5 - 9*w as u + q*w**3 + r*w + f*w**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117816 + -421?\nAnswer: 117395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 24 = -y, 4*y - 4*n + 2*n = 72. Suppose h = t + y, -4*h + 2*t = 3*t - 39. What is the highest common factor of 209 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -67 - 33. Suppose -7*n + c = -11*n. Is -5 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 15*l - 13*l - 18 = 0, 13*r - 18 + 69 = 4*l for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 7*c = -y + 4, -2*c = -3*y - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9}. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 525, 1581, 3705, 7431, 13293, 21825?\n\"Answer: 89*o**3 + 433*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 - -36. Let i(x) = -x**3 + 4*x**2. Let m be i(4). Let u be (-55)\/(-5) + (m - 1). Solve b + b - u = l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 9490, 9498, 9506, 9514, 9522?\n\"Answer: 8*p + 9482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 12*k - 2895. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*o**2 - o**3 - 3059*o - 4 + 120*o**4 - 121*o**4 + 8 - 4 wrt o?\nAnswer: -12*o**2 - 6*o + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -92*h - 3. Let i be g(-1). Suppose 21 - i = -2*w. What is the remainder when w is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*n = 0. Suppose r = -0*v - 5*v + 55, -5*v - 5*r + 35 = n. Calculate the greatest common factor of v and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 985, 2262, 3833, 5698, 7857, 10310?\n\"Answer: 147*v**2 + 836*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4880868926109 and 0.3.\nAnswer: 4880868926109.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/((-74)\/(-666)*-243).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*i + 66 - 46083*i**3 + 92163*i**3 - 46077*i**3 - i**2 to the form z*i**2 + c*i + b + y*i**3 and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28981?\nAnswer: 73, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -12475484 and -12475484 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g*p**5 + 2024*g*p**4 - 3*g*p**3 + g*p**2 - 2*g*p - 753*p + 1 wrt p?\nAnswer: 60*g*p**2 + 48576*g*p - 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 26\/5 of a decade?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -10.5. Let h be 2\/5 + (-26)\/(-10). Put h, i, 2 in descending order.\nAnswer: h, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let t(a) = 4*a**3 + a**2 - 1. Let p be t(h). Which is greater: 2 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(15)\/(sqrt(108)*-1) + (sqrt(45)*-2 - -2*sqrt(720))).\nAnswer: 107*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 855836?\nAnswer: 2, 19, 11261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 523492 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -11c50fb?\nAnswer: -11c50fb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 449.03 - 447. Let k = u - 2. Let j = 0.17 + k. Which is the second smallest value? (a) -1\/2 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10930 - -7?\nAnswer: -10927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 11, 1729 in decreasing order.\nAnswer: 1729, 11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 29945187, 29945188, 29945189, 29945190, 29945191?\n\"Answer: r + 29945186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 2*c**3\/3 - c**2 + c + 1. Let g(z) = 3*z + 2. Let k be g(0). What is x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4 + 7*v**2 - 5*v. Suppose 2*s = 4*s - 16. Let d(g) = -g**2 + g + s - 8. Let p(h) = -5*d(h) - w(h). What is the third derivative of p(u) wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 60, -13, -132, -291, -484, -705, -948?\n\"Answer: g**3 - 29*g**2 + 7*g + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.9 - 5.5. Let s = z + -8. What is the nearest to 0.9 in -1\/7, s, -1\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -111101010010111?\nAnswer: -111101010010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7\/70 + 0\/(-2). Let w(a) be the second derivative of -y*a**5 - 2*a + 0 + 0*a**3 + 0*a**4 + 4\/15*a**6 + 0*a**2. Factor w(f).\nAnswer: 2*f**3*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 1149.\nAnswer: 9192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 AM and 1:34 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 1 + 3 = 0. What is the nearest to 2 in -3\/4, i, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 11*a**3 - 450*a**2 - 28*a - 531. What is l(41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmjmmmjmmmm. What is prob of sequence mj?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 13*c - 13. What is l(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-14))\/((-6)\/21). Let a be -1 + c - (0 - 1). Let p be 165\/a + -3 + 0. Calculate the highest common factor of p and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -4, -45132, -2, -5, -1, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11633464 is divided by 3099.\nAnswer: 2917","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8826803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 306 - -128. Is 42 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3770407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*z = c + 34, -1 = -z. Solve c*k = 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 32*h**2 - 33*h + 4. Let t be o(33). Suppose 0 = -4*y + 2*u + 2*u + 1244, -t*u = -y + 323. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.46 + 15.9. What is b rounded to zero dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 9, h: 11}. Give prob of picking 1 h and 1 k.\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -16*s - 1. Let x(u) = -88*u - 78. What is 5*h(z) - x(z)?\nAnswer: 8*z + 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -153.191167 to 0 decimal places.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p + 41. Let k(x) = -2*x - 20. Suppose -8 = -9*q + 37. Let l(m) = q*k(m) + 2*c(m). Is l(-14) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202864374?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863627146?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1236508163?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 376157 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 7. Let a be 33\/55*(14 - f). Sort 5, a, -3.\nAnswer: -3, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v + 9*v + 7*v)*(-2*v**2 - 1 + 1) + 5 - 5 + 3*v**3 + 2*v**3 - 2*v**3 + v**3 to a + c*v**2 + g*v + b*v**3 and give b.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o - 50*o + 1632 = 0. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19.61, -1, 5, 0.3, -2\/17 in increasing order.\nAnswer: -19.61, -1, -2\/17, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/6 + 37188\/72. Let j = i - 501. What is the remainder when 34 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 6:01 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(15 - (-8384)\/(-448))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 416326, 1665363, 3747114, 6661573, 10408734?\n\"Answer: -f**3 + 416363*f**2 - 45*f + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814, -7452, -25444, -60466, -118194?\nAnswer: -204304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2 + 584*u - 14927. Determine p(79).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -23\/2 >= 0.046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 131\/(-43) + (18 - (2 + 13)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 13*l = -6. Which is smaller: l or -2\/129?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 3*v**2 - 3*v. Let p be (3 + 1 + -1)\/(-1). Let y(b) = -4*b**3 - 5*b**2 - 5*b. Let g = 10 - 5. Determine g*n(c) + p*y(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -5, -3, 2\/13, 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.5 - 14. Let s = -0.5 - f. Let d = 0.1 + -1.1. Which is the closest to -1? (a) d (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 471*w + 2138*w - 9601 - 89541 = 0 for w.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 78 - 21 - 29 + c - 20 to the form g*c**2 + q*c + r and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.78 + -0.18. Let r = y + 0.4. Let i = -1 - r. What is the third smallest value in i, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 3980977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000028829469 to seven decimal places.\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 4*c**2 - c - 165. Let k be a(0). What are the prime factors of 212\/3 - (-44)\/k*-5?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 799\/1596 + -1\/1596. Factor y*m**2 + 0 - 1\/2*m.\nAnswer: m*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -1043*w**6\/60 - 6349*w**3\/6 + w**2 - 33*w - 12. What is the first derivative of c(o) wrt o?\nAnswer: -6258*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1989 - -7940. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100327?\nAnswer: 41, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - d - 371 - 8 = 0, -3*k + 2*d = 551. Let h = k - -330. Suppose 2502 = 7*w + h. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most 10906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-3 + 2*sqrt(17) - sqrt(17)*-1*-3) + 4) + 1 + (sqrt(136)\/(2*sqrt(4)))\/(sqrt(128)*-1).\nAnswer: -17*sqrt(17)\/16 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*f + 1332 - 5307 = 346*f for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kgwg when four letters picked without replacement from kkkwggkgk.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-15564)\/144*(-177)\/(-5). Let d = -3829 - j. Find the common denominator of 143\/24 and d.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*n**4 - 6924*n**3 - 4628*n**2 - 772*n.\nAnswer: 4*n*(n - 193)*(3*n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -7. Let b = -4 - p. Sort -5, b, -3.\nAnswer: -5, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-69)\/((165\/(-1100))\/(7\/(-70))).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3\/5, 5, -3.09?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87096*i**3 + 45896*i**2 wrt i.\nAnswer: 522576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of w**3\/3 + 17*w**2\/2 - 6*w. Let k be p(-6). What is the remainder when 72*((-5)\/25)\/((-2)\/k) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110101 (base 2) in base 5?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -27. Let n = -28.9999972 + f. What is n rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -3*r + 59591, 21*r - 3*n = 18*r + 59631. Suppose 24*k = 6*k + r. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -1. Suppose 0*d + 196 = 7*d. Suppose v = -4*p + 11, -4*v + 3*p = p + d. Put 2, a, v in ascending order.\nAnswer: v, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -142*p + 208. Let k(r) = 303*r - 415. Give -6*k(v) - 13*y(v).\nAnswer: 28*v - 214","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 10) + (934 - 917).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -57 + 31. Let d = -25.6 - w. Suppose 9 + 0 = -3*r - 3*h, 3*r - 5*h = -25. Which is the closest to 0.2? (a) -1\/3 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 9*k - 72. Let j = 47 + k. What is the greatest common factor of 161 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.13 - 0.07. Which is the nearest to 0.4? (a) -1\/9 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -11*r. Let l(p) = 7*p + 3. Let m(w) = 40. Let v(z) = -9. Let a(y) = 2*m(y) + 9*v(y). Let j(n) = -3*a(n) - l(n). What is j(q(u))?\nAnswer: 77*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.29 and 1.435.\nAnswer: 1.145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 49*k**2 - 462*k - 166. Determine u(16).\nAnswer: 4986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 - d**3 + 0*d**3)*(3 - d**2 - 3) + (-3*d + 2*d - 2*d)*(2*d**4 - 3*d**4 - d**4).\nAnswer: 10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6 - 0. Let q be 4*(2 + (-6)\/4). Suppose 0 = q*j + 4*i + 12, 4*j = -j - 5*i - 15. Solve 4*v + y*o - 6 = 3*v, j = v + 3*o - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4268833649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbol when four letters picked without replacement from pbbpbblblpplpplpbbpo?\nAnswer: 28\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 11*t. Let j be h(11). What is the second derivative of -6*u**3 - 2*u + u**3 + j*u**3 + 0*u**3 wrt u?\nAnswer: -30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/12, 8, -4\/3, -5 in descending order.\nAnswer: 8, 1\/12, -4\/3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122457 is divided by 2402?\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 14*2\/21 - (-224)\/(-231)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a gram in milligrams?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 192389 divided by -253\nAnswer: -192389\/253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((135\/10)\/9)\/(3\/(-6))*140\/2380.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162973.\nAnswer: 162973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from {j: 11, k: 9}?\nAnswer: 11\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 92621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1479\/116)\/(29\/((-10208)\/(-66)))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3\/5)\/((s**(-2\/9)*s*s)\/s))**(5\/3))**(-1\/44) assuming s is positive.\nAnswer: s**(31\/594)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-66)\/110)\/(2*(-1)\/20). Let o(a) = a**2 - 7*a + 1. Determine o(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 + -27. Let o = i + 6.5. Let l = -4.5 + o. Put -0.5, l, 0.1, 2 in increasing order.\nAnswer: l, -0.5, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27\/((-189)\/4)*(-21)\/22.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -17*g - 238. Determine h(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1360\/1360)\/(-2 + 118\/4))\/((-1)\/30)?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 994.6884ms?\nAnswer: 0.9946884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + (19 - 20) + (-11 - -1) + -21\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 1174*l - 46. Let n be x(-6). Round n to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1195 - 7542*g**3 + 1060 + 135.\nAnswer: -7542*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 275 = 11*s - 11. Let w be 12\/50*65\/s. Let -12\/5*j + 12\/5 + w*j**2 = 0. What is j?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6*p*v**3 - 701*p*v**2 + 3*p*v - 42*v**3 - 249*v**2 wrt p?\nAnswer: -6*v**3 - 701*v**2 + 3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*q = -217*q - 3*j - 4, -5*j = 4*q - 19. Suppose -2*l + 7 = -11. Solve 3*i - 2*n + 13 = -l, -4*i - q = n for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-12))\/(2\/(-48)*4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -114 + 17*z**2 + 114 + 238*z + 3*z**2 wrt z.\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + t - 1 = 0, 4*r + 0*r + 2*t = 0. Suppose p + 0*q + q = -r, 0 = 2*q - 6. Let i = p - -10. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/3 + 3214*l**4 - 19292*l**3\/3 = 0 for l.\nAnswer: -4823, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9 + 5*p**2 + 8*p**2 - 8*p**2 wrt p?\nAnswer: 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + 76. Calculate the greatest common factor of 13 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22b - 5?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (704\/40 + 2304\/(-128))*35\/(-2114)?\nAnswer: 1\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 95843 and 104556.\nAnswer: 1150116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -331, -356, -401, -472, -575, -716, -901?\nAnswer: -1136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) -2 (c) 12047\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*c**2 + 0*c**2 - 2*c**2)*(2 - 2 - 1)*(2 + 2 - 5) + 2*c**2 - 2*c + 2*c as z + m*c**2 + o*c and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m**2 - 1 - 117*m**4 + 50*m**4 + 68*m**4 + m**3 to q + j*m**3 + l*m**2 + c*m**4 + h*m and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 206608901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 4)\/(3\/(-15)). Let y be (-20)\/(-9) + 8\/(-36). Suppose s + s + 4 = 4*d, -y*s + d - 1 = 0. Sort v, 5, s in descending order.\nAnswer: 5, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y**3 - 2*y**2 - 2. Let u(a) = 16*a**3 - 7*a**2 - 7. Let b(f) = f**3 + 12*f**2 + f + 10. Let q be b(-12). Calculate q*u(i) + 7*m(i).\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45.73 + 0.73. Let m = -4.44991 - -0.44991. Sort n, -2\/7, m in increasing order.\nAnswer: n, m, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/1351957?\nAnswer: -2\/1351957","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(-2*(-90)\/108).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/10 and -17\/32891.\nAnswer: 328910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*v - 217, t - 2*t = -4*v + 285. Calculate the remainder when v is divided by 41.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 75*y**2. Let d(n) = 329563*n**2. Give d(h(o)).\nAnswer: 1853791875*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/(-476) - (-17)\/119. Factor j*q**3 + 2\/17*q + 0 - 4\/17*q**2.\nAnswer: 2*q*(q - 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-78)\/(-91))\/(-4*2\/28). Let u(a) = -12*a**2 + 3. Let p(t) = 23*t**2 - 5. Calculate j*p(v) - 5*u(v).\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34)\/sqrt(2)*3 + (0 + 0 + sqrt(17))**2)*-6 + (-3*sqrt(102)*-1)\/(-2*sqrt(6)*5).\nAnswer: -102 - 183*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2234.128 millimeters in centimeters?\nAnswer: 223.4128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eqff when four letters picked without replacement from efeqf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -30, 2, -4, -15, -49, -1 in descending order.\nAnswer: 4, 2, -1, -4, -15, -30, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 15300000 = m. Round m to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 24 + -727a?\nAnswer: -7256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/48 - 7\/24. Let x(o) be the first derivative of 0*o - 1 - z*o**4 + 0*o**3 + 0*o**2. Solve x(u) = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*p - 1 - 37 - 15*p as q*p + z and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.02 (b) 763597 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0460949 take away 316.142?\nAnswer: -316.1880949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k - 247 = -38. Let l(a) = -7*a**2 - a + 4. Let b(t) = 13*t**2 + 2*t - 7. Let f(m) = 2*m + 36. Let p be f(-21). Give k*l(n) + p*b(n).\nAnswer: -n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126830825?\nAnswer: 5, 11, 59, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21579106249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 835 greater than or equal to 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -f - 1, 28*f = -2*f - 19*f + 2*f - 3*t - 191 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 - 11118*m**2 - 33336*m.\nAnswer: -2*m*(m + 3)*(m + 5556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 64*s - 7345. Determine b(116).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 5*f**2 + 6*f + 3. Let g = 8767 + -8762. Let a(d) = -5*d**2 - 5*d - 3. Give g*r(n) + 6*a(n).\nAnswer: -5*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 9*a - 10. Let s be z(7). Solve -3*o = -s - 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-54)\/1890)\/((0 - (-4 - -2))\/4)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*c - 143*c - 50. Suppose 3*b + 9 = -s + 3*s, 2*b = -4*s + c. Solve -s*f = -2*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 21755 and 767694140?\nAnswer: 767672385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 7, 0.75?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 274 + -272. Suppose 3*z - q*u - 9 = 0, -u = z - 6*z + 15. Solve -2*r = z*y - 13, 5*r + 23 = 4*y - 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p - 10. Let z be t(4). Suppose 2*q = 5*w - 10, z = w - q + 4*q. Let n be (2\/w)\/(-1)*-5. Solve -n = x - 2*o, -x + 5*o = 4*x + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uluulrlllulrlkylllul. Give prob of sequence ul.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 8*n + 2. Let d be s(-8). Solve -2*r + d = 10 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-219)\/730)\/((-21)\/(-14))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 2*s - 6 = s, -s + 12 = 5*p. Suppose -4*q - 2*z + 20 = 2*z, -3*q + 3 = -z. Suppose p*a + 4*d - 331 = 2*d, a - 121 = q*d. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 s when two letters picked without replacement from {n: 4, s: 4, a: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1097368.999906 - -1097407. Let n = y - 38. Round n to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29111 + 29136. Which is the second biggest value? (a) -3 (b) j (c) -11 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 8, 4\/3, 2, 16, -71 in increasing order.\nAnswer: -71, -10, 4\/3, 2, 8, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - h + 6 = 0, -26 = -5*a - 14*h + 10*h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 10*l**2 + 12*l - 24. Let t be n(9). Suppose -4*h + 2*x = -h - 11, 0 = h - t*x + 1. Solve -h*d = 4*i - 2, -3 - 7 = 5*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(1872) + -2)*-6.\nAnswer: 72 + 864*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42565 by -5.\nAnswer: 8513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 135 + 140*i - 41 - 94. Let m(l) = 22*l**2. Calculate m(j(a)).\nAnswer: 431200*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-410)\/4)\/5*(-5 - -7). Let v = d + 36. Let n(m) be the first derivative of m**4\/4 + 4*m**3\/3 - 4*m**2 - 7*m - 1. What is n(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*g + 2*g + y, 0 = -2*g + 4*y + 26. Solve 6*x = g*x + 9, -x = 4*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, -5, -2\/43?\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -12*b + 4*m - 472, b - 4*m = 143. Solve -b*f - 3 = -124*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -2, c - 6*c = -4*j + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*o + 1033 + 682 = 454 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -503 by 5.\nAnswer: -503\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**7\/35 + 3*d**6\/40 - 7*d**5\/20 - 3*d**4\/2 - 2*d**3 - 5*d**2. Determine a so that i(a) = 0.\nAnswer: -2, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 629843 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + 4 - l**3 + 2*l**4 - 5*l**2 + l**2 - 2 - l as i + t*l**3 + z*l**2 + q*l + j*l**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00307178 to 6 decimal places.\nAnswer: -0.003072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 0*u**2 - 1 - 3*u - u**2 + 5. Let y be c(-3). Suppose y*n - 17 = -k, 3*k + 1 + 12 = 4*n. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9419441257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*t - 128 = -319*t. Let z(v) = -2*v - 8. Let m be z(-6). What is the greatest common factor of m and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-3)\/18*4). Let b = f - -9. Solve 4*q + 2 = b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Suppose -2*l + 26 = -4*l. Let j = l - -15. Which is greater: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 9075 = 3*j - 10030, -4*b + 19097 = 3*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in -5, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -260*l + 3045. Calculate g(12).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23660 divided by -5915.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 32*c**2 - 32*c - 2. Calculate g(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172.95792 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c**5\/2 - 127*c**4\/8 + 8305*c**3\/2 + 262327*c**2\/8 + 59583*c - 17010 = 0 for c.\nAnswer: -105, -4, 1\/4, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l - 18*l**3 - l + 2*l.\nAnswer: -18*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + 4*y - 3. Let h be w(4). Let d be 8\/12 + (-52)\/h. List the prime factors of (-4)\/d - (-38)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 102.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 35.73 + -35.730001897. What is l rounded to 7 decimal places?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -845 + 8433 + 9056 = 228*z for z.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*j + 15416 - 5444. Is 0.1 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1996 and 269.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 238 = -m, -h + 250 = 18*m - 13*m. Let w be 70\/6 + 1\/3. Suppose -17*z + w*z + h = 0. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -12. Suppose -l*f - 3*z + 114 = 0, 4*f - 3*z - 167 = -2*z. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*p + 0*p - 1)*(0 + 2 + 1)*(-3 + 3 + 3) to a*p + v and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -20*w - 181.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 456411590 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-1 - 6\/(-4)). Let y be 2\/k - 11526\/24. What is y rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 152458*m**5 + 2*m**2 - 3*m - 552?\nAnswer: 9147480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 99 and 2827.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4285*m - 24 = 4279*m. Let w be (-8)\/6*(-6)\/4. Solve w*d + s = d, -d = -m*s + 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -16. Which is the nearest to -0.3? (a) 2\/9 (b) g (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014609 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**3 - 12*u**2 + 9*u - 3. Let x = 6 - 26. Let v = x + 7. What is the remainder when j(v) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*t + 13 = -7*t, 0 = -4*r - 5*t + 7. Let y(m) = m - 6. Let i be y(10). Suppose 500 = r*s - h, s - h = -i*h + 160. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24495*i**5 + 20*i**3 + 19*i**2 - 7059*i + 3 wrt i.\nAnswer: -1469700*i**2 + 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 600 divided by -50\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4776 - -4772. Which is the fourth biggest value? (a) 16 (b) r (c) -1\/2 (d) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 + 9*x - 8. Let h be (-2)\/3 - 138\/(-18). Is a(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3.20239.\nAnswer: 6.40478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 694090 and 24490.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6279 = 143*i - 74*i. Calculate the greatest common factor of i and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 1 - 3. Let o be ((-5)\/(20\/(-36)))\/b. What is the greatest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 6, 5 = 5*g - 5*c - 5. Suppose 20 - g = 3*i. What is the remainder when i is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 29 = -c + 4*o, -o = -c - 14. Let j be ((-12)\/c)\/((-2)\/(-3)). Let i**4 + 5*i**j - 2*i**3 - 5*i**4 - 3*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58 + 88. Let h be (-2)\/10 + 2106\/c. Let b = -9560 + 9595. What is the greatest common divisor of b and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427782090 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.1. Let t = -5378.1 - -5379. What is the second biggest value in z, -0.2, -5, t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 348260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -183, -212, -239, -264, -287, -308, -327?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/5 - 51483*r**2\/5 - 566416*r\/5 - 926892\/5 = 0. Calculate r.\nAnswer: -9, -2, 51494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -0.51229324.\nAnswer: -0.01229324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 768300 - 768299.9690069. Let x = 0.031 - k. Round x to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6988128535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 2*z, 0 = -5*n + 70*z - 68*z + 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (17 - (-5448)\/(-210))?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3576 + 29685. List the prime factors of s.\nAnswer: 3, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 u, and 1 o when four letters picked without replacement from ddodudgguduudgo.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47.38 + -47. Let m = -20465 - -20465.4. What is the third biggest value in m, x, 2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*x = 3*x + 649, -2*j + 646 = -4*x. Suppose v - 864 = -2*s - j, s + 2*v - 281 = 0. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 3*s - 51 = 0, 2*v - 27 = v - 5*s. What is the greatest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 11*z - 35*z - 1540 = -0*z for z.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.029441 + 68466.\nAnswer: 68482.029441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is bf5 + f05?\nAnswer: 1afa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**4 - k**3 - k**2 + k + 1. Let c(a) = 2*a**4 - 5*a**3 - 2*a**2 + 5*a + 5. Let b(f) = -c(f) + 5*p(f). Find the third derivative of b(q) wrt q.\nAnswer: -168*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - m - 20, -5*m = 5*d - 1 - 24. Let h be (-635105)\/(-27464) - 30\/(-16). Solve 10 - h = d*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304555523 a multiple of 1221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3465*r**2 + 6878*r**2 - 3417*r**2 - 2.\nAnswer: -4*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135.6 - 2691627.\nAnswer: -2691491.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*f**2 - 2*f + f**5 + 2*f wrt f.\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from bbbbbbhbh.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 8*p**2 + 10*p + 3. Let o be z(-9). Let y be ((-3)\/o)\/(3\/2). Suppose 1\/3*d + 1\/3*d**4 + 0 - 1\/3*d**2 - y*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = 4*q + 68 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvptmtmktkttkhkvptvp. Give prob of picking 1 v and 1 k.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 7*i + 23*i)*(-1 - i + 1)*(-7 + 7 - 8).\nAnswer: 152*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37764, -75545, -113326, -151107?\nAnswer: -188888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 16. Let q be j(13). Which is the closest to 0.1? (a) 3 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 98, -4, -519 in decreasing order.\nAnswer: 98, 3, -4, -519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 467, 631, 795?\nAnswer: 959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, 8064, -1\/4, 0.2, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86395*r + 78345 wrt r?\nAnswer: 86395","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -3*t - t - 34, 4*d = 2*t + 62. Suppose -b - 6 = -d. Suppose -4*g + 4 = -5*q + q, -2*g + b = 3*q. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 0*d - 11*d**3 - 6 + 10*d**3 - d - 8*d**2. Let w be z(-8). Is 11\/4 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 516 and 12900?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.62 rounded to 1 dp?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 + 3 - 3 - 220*v - 254*v - v**2.\nAnswer: 2*v**2 - 474*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l - 2*l - l + 0*l + 2*l + 11*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -295, -916, -1897, -3238?\nAnswer: -4939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-203440)\/(-15) - 3) + 1\/3. Suppose -t = -138*y + 128*y. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 207240.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ba621 (base 13) in base 8?\nAnswer: 1222436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**4 - 25062*w**3 + 175630*w**2 + 1228614*w - 1379180 = 0. Calculate w.\nAnswer: -12538, -5, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -5*i**3 - 3*i**2 - 1. What is the hundreds digit of u(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-4))\/(15\/18)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-4)*b**(3\/16)*b**(-42)*b\/b**(-45))**(-6\/11) assuming b is positive.\nAnswer: b**(-57\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.39 + 101.61. Is 1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.0934 to 2 decimal places.\nAnswer: -4.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12110 bigger than 435983\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3065 + -3032.33. Let y = -34 + l. Let p = y + 1.3. What is the second biggest value in p, 1\/6, 0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 931354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 1. Let z(f) = -2*f**2 - 4*f - 4. Suppose 0 = -0*r + r - 2*i - 3, -i = 4. Let x = r + 1. Determine x*o(c) + z(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 520399990\/(-40) - -1*2\/(-8). Round j to the nearest one hundred thousand.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 152379?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 847 - 605. Let z = j + -242.0141. Round z to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3398453512?\nAnswer: 2, 424806689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(44\/(-12) - -1). Put o, -1, -2 in descending order.\nAnswer: -1, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 4*v + 2. Let d(t) = -t**3 + t**2 + 1. Let r(w) = 4*d(w) - u(w). Let h be r(-2). Let m = h + -6. Does 10 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a + 13. Let t be r(-11). Let d = t - 37. What are the prime factors of d?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 831 or 830?\nAnswer: 830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2100)\/40)\/(-35)*(-8)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12051495.\nAnswer: 3, 5, 267811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 62?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6a - a?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = -3*y - y, -3*y + 1 = -j. Suppose 4 = -x - 5*r - 2, -10 = -j*x - 5*r. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*t**4 + 36*t - 36*t + t**4 + 4*t**4 + 0*t**4 + (-4*t**3 - 3*t**3 + 5*t**3)*(-2*t + 5*t - t).\nAnswer: -8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g + 42489213191 - 42489213191.\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*o + 14, x + 15 = 17. Factor 2\/7*z**3 + 6*z**o + 198\/7*z - 242\/7.\nAnswer: 2*(z - 1)*(z + 11)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11431.595 rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -10*g**2 + 1. Let s(b) be the first derivative of -4*b**2 - 680. Calculate s(u(z)).\nAnswer: 80*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*a + 6 + 58 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-31)\/(-27) - (-2 + 1) and (-1)\/(-13 - (-205)\/16).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - n**2 - 3. Let l be z(0). Suppose -4*x - 11 = -27. Put -53, -2, x, l in ascending order.\nAnswer: -53, l, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from rbbzrrrzi?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b**4\/7 - 132*b**3\/7 - 120*b**2\/7 + 256*b\/7 = 0. What is b?\nAnswer: -32, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) 1 (c) 4 (d) -133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 421018812 to the power of 1\/3, to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from rojjghhreoooog.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -133 - -137. List the prime factors of (-2537)\/(-3) + 66\/(-18) + j.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 6. Let h = -4 - -7. Suppose -y = -h*y. Which is the closest to y? (a) t (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.09 - 316373\nAnswer: -316370.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-8) + 212\/16. Suppose -96 = 10*f - u*f. 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: What is the third derivative of -20343*d**3 - d**2 + 3101?\nAnswer: -122058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -763?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 10 = 5*b, 0 = 4*g - 78*b + 73*b + 10 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 greater than or equal to -924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 299629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*q + 369*q + 8 - 8 + 99*q.\nAnswer: 483*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t - 15 = 9*t. Let i be (-280)\/30 - (-1)\/t. Let y be 20\/90 - 619\/i. Calculate the greatest common divisor of 46 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3128 (b) -5 (c) 0.045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-4)\/((-48)\/(-51)) + 4 and 29\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 20 = 23. Let k be 2 + -3 + 0 - (d - 3). Solve 0 = -q - k*n + 9, -3*q = -q - 2*n + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 41 and -0.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**3\/2 + 25*a**2\/2 - a + 259. What is f(0)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 2 = 3*c - 1, 3*s + 3 = 3*c. Suppose s = -5*r + 8 + 2. What is the lowest common multiple of 4\/(-2) + 28\/r and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/4 and 11\/54.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**20)**(-1\/65)\/(((u**(-26)*u*u)\/u)\/u*u\/u**45))**17 assuming u is positive.\nAnswer: u**(15402\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.929t in grams?\nAnswer: 356929000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 + 4*n + 3. Let t be b(4). Let j be 1*(-12)\/(-39)*39\/6. Solve j = -c - t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/10 or 6.22943?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.28 + 6.28. Which is the smallest value? (a) 4 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 9*f**2 - 3*f + 48. Let i be j(9). Solve -i*s - 28 - 77 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39538?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*z**5 - 2\/5 - 2\/5*z**4 + 4\/5*z**2 + 2\/5*z - 4\/5*z**3.\nAnswer: 2*(z - 1)**3*(z + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*g - 5, 0*g + 4*g = -16. Let y(v) = -11*v**2 - 3*v + 2. Let f be y(2). Let s = f + 68. What is the remainder when s is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vva when three letters picked without replacement from {a: 9, v: 8}.\nAnswer: 21\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 1 (c) -0.7 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -46, 0.07, 0.5, 4 in decreasing order.\nAnswer: 4, 0.5, 0.07, -46, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (14 + -32 + 8) - (-60 - 2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2*2763069\nAnswer: -5526138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -20. Let l(q) be the first derivative of 0*q**4 - 2 - 2\/5*q**5 + 0*q**2 + 1\/3*q**s + 0*q. Find the third derivative of l(k) wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -5*b - 2*v + 258, -4*b = 2*v - 196. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.4 + 1.6. Let x = p + -16. Let w = x - -6.2. Is w < -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and -61014.78.\nAnswer: -61019.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*h - 4082 - 4762. Let u = h + 423. Let t = -13 - -18. Solve 4*j = -4*v - 7 - u, t = -j for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5959 - -5956) + (-30 + (-3 - -3) - 0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 994 = -183*m + 325*m. Calculate the highest common divisor of m and 1351.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/((-5880)\/(-273))*-10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -301*d + 237. Let y be f(17). What is y rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1097 + 1100. Solve 6 = -h*i - 4*n, i + 0*n = 3*n + 11 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*0.022\nAnswer: -0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7295, -0.923, -0.5 in increasing order.\nAnswer: -0.923, -0.5, 2\/7295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzhz when four letters picked without replacement from {h: 3, z: 1, u: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-29)\/87)\/(2\/(-12)) and 1059?\nAnswer: 2118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1894*n**2 - 7946*n**2 + 1940*n**2 + 1911*n**2 + 1773*n**2.\nAnswer: -428*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3475 is divided by 560.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - -33. What is the greatest common divisor of l and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, q: 5}. What is prob of sequence yyq?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:17 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 23 = 2*f - 3*q, 3*q = 2*f + 1. Let b = f + 10. Solve 0 = 5*x + 3 + b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.184242 - 5?\nAnswer: -124.184242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18641023?\nAnswer: 2713, 6871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + -2 + (-42 - -26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from bbfbfbbbb.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -28*i - 33. Let w be d(-7). Let y = -1135\/7 + w. Put -1\/7, y, -3, -0.4 in increasing order.\nAnswer: -3, -0.4, -1\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z + 2 - 220*z**3 - 2*z - 4 - 81*z**3 - 6 in the form d*z + m*z**2 + x*z**3 + b and give x.\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1398 - -875. Let z = c + 527. Let y = -2006\/7 + 287. What is the closest to y in z, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -286 - -290.06. Let a = b - 0.06. Sort -0.1, a, -1\/2 in descending order.\nAnswer: a, -0.1, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 1. Let x be (0 - 2)\/(2\/(-7)). What is the lowest common multiple of (-4)\/(-14) + 5\/x and j(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*q + 875 = 28*q. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - -23. Let g = 39 - 29. What is the remainder when w is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*o + s, 7 = 5*o + s + 3*s. Suppose -o*w = a - 62 + 6, -5*w + 5*a + 100 = 0. Solve -w = -3*v - 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8 + 9\/((-3)\/1). Suppose o - z*j = 0, -3*o - o - 4*j + 96 = 0. Suppose y - 40 = -3*y. Calculate the greatest common factor of y and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (-34)\/7 + 117 + -115. Which is the closest to -6? (a) -3 (b) 1 (c) -0.4 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2076*p + 5 - 2076*p - 2*p**3 + (1 - 2*p - 1)*(-3 + 3 + p**2).\nAnswer: -4*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -5*o**3 + 4*o**2 - 7*o + 4. Determine s(2).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 5*v + 2 + 0*v**2 - 2\/3*v**3. Let x(b) = 7*b**2 - 21. What is 21*n(a) + 5*x(a)?\nAnswer: -7*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/3 + 1)\/((-16)\/(-48))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -234*c + 237*c + k = -7, -5*c + 4*k + 31 = 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (0 - (-32)\/(-6))*168\/(-112) and (12\/9)\/(-8*6\/(-252))?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -803? (a) -25 (b) -105 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in -129, -0.25, -1\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1678*d - 1678*d - 843*d**2 + 846*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -f - 3, -3*x + 52 - 47 = 2*f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12088 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 - 4*p. Let u be l(4). Suppose u - 15 = -5*o. Suppose o*v + 3 = -0. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 138793360.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + 38 + (-5 - (-8 + 28) - -11)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*i**2)*(-217 - 23*i + 217)*(1743 - 1743 + 61*i).\nAnswer: 2806*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-198)*(-44)\/(-464)*(-30)\/5.\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1245)\/166*(-1404)\/(-195)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1487 a factor of 660228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1930 - 970. Round k to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 11. Let w(d) = -d**2 + 1. Let s be w(1). Is m(s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 12*i + 21. Let t(p) = 4*p + 7. Let b(o) = -3*k(o) + 8*t(o). Let f = -7 - -10. What is the remainder when b(-5) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*(((h*h\/h**(19\/5))\/h*h)\/h)\/h*h*h**(1\/4))**(-48))**42 assuming h is positive.\nAnswer: h**(15624\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15)*1950\/45 - 7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8)\/a*a*a)**(45\/7) assuming a is positive.\nAnswer: a**(405\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(240)\/sqrt(12) + 5.\nAnswer: 1 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - -23) + 1 + 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 746 divide 5073759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = -24. Suppose -4*c - x = -11, w = -3*x - 7. Suppose c*t - 6 = t. Solve 0 = -2*u - t*y + 4, 4*u = -y - 4*y + 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1004453 - -1?\nAnswer: 1004454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 30 = 5*q + l, 4*q - 3*l = 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 11:21 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b. Let h be 8\/12*(5 - -1). Suppose -3*f + 8 = f. Let r(o) = 0*o**2 + 3*o - 3*o + h*o**f. What is w(r(z))?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355 + 6*u - 3*u + 369.\nAnswer: 3*u + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11932 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: Does 435 divide 30100260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101038 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 238693542 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 + 2*f - 6. Let t(y) = -4*y**2 - y + 7. Let i(w) = -6*n(w) - 5*t(w). Suppose -10451*z = -10443*z - 40. Determine i(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 + 35*z - 69. Give s(-37).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 11*i - 5. Let p(b) = -5*b + 2. Suppose v = -1, 7*r - v + 2 = 4*r. Let g be r\/4 + (-17)\/(-4). What is g*h(k) + 9*p(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 + x**2 + 4*x - 3. Suppose -5 = 3*i - 44. Suppose a - i = -4*n, 5*n - a = -0*a + 5. Is q(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(19)*-2 + sqrt(76)\/sqrt(4) + 0.\nAnswer: -sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 49171 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4797\/4016?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -2*q**3 + 1690*q**2 - 16718*q + 15030 = 0.\nAnswer: 1, 9, 835","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13829 + -13747. What is the nearest to 1 in 4, w, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 714 - 2138\/3. Let v = 7 - 5. Which is the closest to 3? (a) v (b) d (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huexxxxhuxxu. Give prob of sequence ux.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -32 - 83 - (-154 + 11).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1837094030 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8.1, 0.5, -1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/((-6)\/(-12) - 1). Solve -6*t - i = -t + x, -5*t + i - 20 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -0.2 (b) -14\/9 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*d**3 - 24*d**3 + 30*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2 + sqrt(35)\/sqrt(5))*3)**2 + 5.\nAnswer: -54*sqrt(7) + 149","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -1\/2*s**3 - 1\/2*s**2 + 0 + 6*s. What is the first derivative of i(w) wrt w?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1814 in 24, -2, -2\/5, -0.5?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -500*a - 553 + 53 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 169609083*b**3*t**2 + b**2*t + 2*b**2 + 59194*b - 7*t**2 wrt b.\nAnswer: 1017654498*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.137 times 0.001\nAnswer: 0.000137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30694271 is divided by 30694229.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*h - 23729 = -28853 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010974 rounded to 5 dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 7*r - 2. Determine g(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f - 3 + 17 - 6 - 8.\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.6 + 0.4. Let s = j + 6.2. Which is the nearest to 0? (a) -0.5 (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225293509*i**3*x**2 + 9*i**3*x - i**3 - 93*i**2*x + i*x - 1516*x - 1 wrt x?\nAnswer: -450587018*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 3*s + s. Let h(c) = 7*c - 6. Let m(b) = -6*b + 5. Let k(j) = 5*h(j) + 6*m(j). Give r(k(a)).\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 3*r = -z + 23, 3*z - 3 = 3*r for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 29159227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 2.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 4*s + 4*d, 3*s - 11 = d. Suppose 0 = s*i + 2*i - 30. Suppose z + i = 4*z. Solve 2*u = -z*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 - (3 + -11 - 16) - (0 - 13)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1720051 (base 8) to base 10\nAnswer: 499753","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 934971364 to the power of 1\/2, to the nearest integer?\nAnswer: 30577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.9 + -1.6. Let i = v - -3.7. What is the third biggest value in -1, i, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a - a - 3*a)*(2 + a - 2) - 116 + 26*a**2 + 116 to v*a**2 + j + c*a and give v.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**6\/36 - 4*m**3\/3 + 13*m**2. Let o(w) be the first derivative of h(w). Let t(z) = z. Determine t(o(i)).\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i - 6. Let x be y(-4). Suppose -4*b - 4*n - 9 + 1 = 0, -3*b + x = -4*n. Suppose 6 = b*r - 2. Sort r, 5, -3.\nAnswer: -3, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - ((2 + -3*sqrt(425))**2 + sqrt(425) - sqrt(425))) + -4 + ((-2*sqrt(425))**2 - sqrt(425)) + -3.\nAnswer: -2136 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3448.6, -0.1, 41?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3278, 8227, 13188, 18161, 23146, 28143?\nAnswer: 33152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 778*f**2*p**4 - 2*f**2*p + 5*p**2 + 72 wrt p.\nAnswer: 18672*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*p**3 + 126*p - 314\/5 - 318\/5*p**2.\nAnswer: 2*(p - 157)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -7*l**4\/12 + 13*l**3\/6 + 5*l**2 + 2*l. Let s(j) = -15*j**2 + 27*j + 21. Let u(c) = -13*q(c) + 6*s(c). Calculate u(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*o + 2099 - 38174 = 0 for o.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 2. Let z(j) = -j**3 + 4*j**2 + 7*j - 1. What is the remainder when 16 is divided by z(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -535\/32?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -406399, -406397, -406395, -406393, -406391?\n\"Answer: 2*k - 406401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 6 = 3*l. Suppose -y + 9 = 3*u, 6 = l*y - 5*y + 2*u. Find the second derivative of -3*f + y*f**4 + f + 4*f**4 + f wrt f.\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*j, -5*d = 3*j - 5*j + 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -12 - (3 + -2 - -8)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 105225 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737 is divided by 47.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 681850 a multiple of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 - (3 - 24)) + -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - 10\/3 - 0. Let h = d + 5\/3. Suppose -3*n = -6 - 0. What is the nearest to h in -0.1, n, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4153*o**2 - 4*o**3 + 0*o**3 + 4132*o**2 + 3*o**3.\nAnswer: -o**3 - 21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 equal to -550.37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98 - 42) + -109 + 10.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 - 1762833*f**3 + 202*f**2 - 2*f - 2002.\nAnswer: -240*f**3 - 10576998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1209 is divided by 393.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*s**3 + 403*s**3 - 81*s**3 + 473*s**3 - 181*s**3 + 684*s**3.\nAnswer: 1277*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11022 (base 3) to base 2.\nAnswer: 1110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -g + 19. Suppose -32*f - 570 = 25*f - 62*f. What is the least common multiple of f and g?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (10 + -20 + 7).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 53938266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (150\/9)\/(-10)*-3. Solve 4*k + k = o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((sqrt(243) + 0 + sqrt(243))*-1 + sqrt(243) + ((sqrt(243) - sqrt(243)*1)*-6 - sqrt(243)))**2)*6 + 2)*-6.\nAnswer: -35184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -19 (b) 5 (c) -0.0205 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -5*v - 17. Find the second derivative of 9*t + 19*t + 5*t**2 - v*t**2 - 41*t wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*b - 7*b - 9*b + 5*b - 8*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n + 8*n + 7*n + 2*n.\nAnswer: 11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12276331?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(136)*-2 + sqrt(136))*4)\/(-1*sqrt(8)*6).\nAnswer: -4 + 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**4 + 49848*u**3 + 310901832*u**2 + 3725440128*u + 11170939392 = 0. Calculate u.\nAnswer: -12456, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 8)*(23*i**2 - 30 + 30) - i**2 + 140 + 14*i - 140 + 4*i**2 - 2*i**2 + 0*i**2 + (-4*i**2 + 4*i**2 - 2*i**2)*(-1 + 1 + 2).\nAnswer: -118*i**2 + 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d - 14. Suppose -4*a + 3*l - 61 = 0, -a + 0*a - 4*l - 20 = 0. Let m be b(a). Suppose z - 14 = -3*z + 5*p, p = z - 4. Solve -k - m*k - z = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57941694*l**4 + 1084562*l**2?\nAnswer: 1390600656*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -530815 divided by 106163?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - ((-66)\/15 - 20\/(-50)). Solve -o - 9*u + 14*u = 20, -3*o + u = -t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-8))\/((-4)\/16). Let b(t) = -t + 9. Let o be b(4). Sort 2, x, o in increasing order.\nAnswer: 2, x, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**3 + 9*h**2 + 5. Let j = 33 + -28. Let t(v) be the third derivative of v**6\/20 - 7*v**5\/30 - 4*v**3\/3 + v**2. Determine j*t(s) + 8*k(s).\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 648*f**3 + 542 - 3*f + 646*f**3 to the form q*f + a*f**3 + t*f**2 + k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87881, 180688, 273495, 366302, 459109, 551916?\nAnswer: 644723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.5923217ms to days.\nAnswer: 0.00000008787409375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15210 and 34983.\nAnswer: 349830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -133461 (b) 6 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nncn. Give prob of picking 1 c and 1 n.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 216 + 8. What is the remainder when (-3)\/(-9) - u\/(-6) is divided by 6 + (1 - 4) - -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 142659 (b) 1\/7 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.753 times 0.1\nAnswer: -0.2753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1554 + 3073*r + 1554.\nAnswer: 3073*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 61 (base 15) to base 13\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.033 and 0.27 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 4*v**2 - 4*v - 4. Let i be s(5). What is the highest common divisor of i and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/7, -6, -2\/7, -0.066, 0.5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + 20. Let x be (1 - 7) + 3 + -7. Does 20 divide b(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**3 - 5720*b**2 + 98396*b.\nAnswer: -4*b*(b - 17)*(b + 1447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 2*w + 9 - 0, -2*u + 6 = -4*w. Suppose w = -4*b + 2944 - 860. What are the prime factors of b?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 770 + -767. Let z(l) = 62*l**2 + 12*l + 1. Let f be z(i). What is the highest common divisor of 35 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 67*r - 69. Does 13 divide x(47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 316772 and 86.\nAnswer: 13621196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l + 30. Let f be (-5 - 3\/(-2))*(0 - -2). Let h be u(f). Suppose 2*b = 6*b - 40. Solve -h*s + b = -4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5675 - 5547. Calculate the lowest common multiple of b and 288.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 6:33 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 252 divided by -162\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3360 - -3578. Calculate the remainder when 219 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s**3 + s**2 - 3*s + 3. Let y be r(2). Let d = 47 - y. Calculate the lowest common multiple of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8766?\nAnswer: 2, 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 254*c + 5. Let j(z) = 4*z - 1. What is -2*j(b) - s(b)?\nAnswer: -262*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 782 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + 3. Let u be (-3)\/(-9)*323 + 4\/(-6). What is the third derivative of 10*t**2 + u*t - 107*t + w*t**3 wrt t?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/24)*v)\/(v**(-2\/41)\/v))**(16\/7))**(-37) assuming v is positive.\nAnswer: v**(-146150\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18, -192, -690, -1680, -3330, -5808, -9282, -13920?\n\"Answer: -28*q**3 + 6*q**2 + 4*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2344*b + 4143*b - 1816*b + 1867*b in the form y*b + c and give y.\nAnswer: 6538","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*r + 87 - 87 + (0 - 5 - 1)*(-3*r - 2*r + 2*r) as h + w*r and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 966 + 19250*o - 966.\nAnswer: 19250*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 1\/((-5)\/(-5)). Suppose c = f*c - 75. Are 25 and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 376 and -69140593.\nAnswer: -69140217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - (-16)\/(10\/5). Solve 0 = n*m - 11*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + h - h + 0. Let l(q) = 4*q**2. Give r(l(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*g**3 + 36*g**3 - 115*g**3)*((-4 - 1 + 3)*(-g + 2 - 2) + 4*g - g + 4*g) - g**2 + 2*g**4 + g**2.\nAnswer: -412*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j - 4*c - 16, -6*j + 7*j - c = 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 32600 divided by 3260?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1160934141*g*l**3 + 11*g*l**2 - 165*g*l - 17*g + 3*l**2 - 3*l - 9 wrt l.\nAnswer: 6965604846*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -95.93 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46142*s - 15547*s - 15086*s - 15506*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55.91 - 56. Let m = -0.7 - -0.71. Let j = n - m. Which is the third biggest value? (a) j (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 29 = -13*z. Solve 3 = -5*w + z*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -110 - -10136?\nAnswer: 10026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385035 and 77805?\nAnswer: 1995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2240 (base 7) to base 13.\nAnswer: 4a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/125258 and 1\/11270.\nAnswer: 4384030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x + 22*x - 11*x + (4*x - 5*x - x)*(7 - 3 - 3) - 50 - 3*x + 50 + (-1 - x + 1)*(-2 - 1 + 5) as d*x + a and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (394*l**2 + 1320*l**2 - 756*l**2)*(0*l + 0*l - 2*l)*(2*l - l - 3*l).\nAnswer: 3832*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 29, 58.6, 2\/7, -2\/5, 3\/4.\nAnswer: -2\/5, 2\/7, 3\/4, 4, 29, 58.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 145263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/3 (b) -5 (c) -10\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 90202.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1052040 and 47820.\nAnswer: 1052040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 11*p + 48. Let l be w(-14). Let z = -14 - -20. Let c be -9 + 9 - z\/(-2). Solve c*q = l*q + 15 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 387 - -230. Let v = -614 + s. Solve -5*h - 10 + 0 = v*c, 4*h + 4*c + 16 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 1. Let t = o - -4.9992. What is t rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560763450 a multiple of 676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501 - 487 + 9*x**2 - 3*x**2 - 5*x**2.\nAnswer: x**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*v - 475900*d*v**2 + 65*v**2 + 620 wrt d.\nAnswer: -4*d*v - 475900*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83940 is divided by 3555.\nAnswer: 2175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 9:45 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*y = -143*y - 752 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 4*o)*(-4 + 3 + 6) + (-3 + 3 + 1)*(0*o - 3*o + o))*(0 + o + 0).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56.9, -2\/53, -4\/15 in decreasing order.\nAnswer: -2\/53, -4\/15, -56.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3 = -2*d - 12, 3*d = -j - 20. Calculate the common denominator of ((-1)\/j)\/(60\/(-1150)) and 41\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - -4. Let c = 18 - b. Suppose 6*v - 65 - c = 0. What is the least common multiple of 8 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -19.3. Which is the closest to -0.3? (a) -2\/5 (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.32 and -7.848.\nAnswer: -2.51136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/12*1*12\/10.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) 1 (c) -3\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 835 - -2603?\nAnswer: 3438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 10:15 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -271*x + 260*x + 77. Suppose -26 = -4*t + 226. Calculate the highest common factor of x and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*d**4 - 615*d**3 - 981*d**2 + 1815*d - 150 = 0.\nAnswer: -5, 2\/23, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 991340?\nAnswer: 2, 5, 7, 73, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101000 (base 2) in base 9?\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 87795 = -u, 5*c + 3*u - 219505 = 2*u. Round c to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and -0.61.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -12820 * 6349\nAnswer: -81394180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 >= 430\/2461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 37*c - 122. Let a(j) = -j**2 + 28*j - 123. What is 4*a(o) - 3*x(o)?\nAnswer: -o**2 + o - 126","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 293 = -r, 2*v - r = -159 + 46. Let h = v - -113. Let i = 43 - 24. Calculate the remainder when h is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -36. Let p = -15 + c. Suppose p*l = 3*h + 5*l - 34, -5*l - 5 = 0. Calculate the remainder when 49 is divided by h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42585*r + 7768 - 15552 + 7784.\nAnswer: 42585*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 11:10 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 2*a, -5*r = 7 + 3. Factor 6 + 15*q - q**a - 2*q**2 + 7*q**2 + 4*q**3 + 7*q**2.\nAnswer: 3*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - 4. Suppose -7*a + 21 = -3*j - 4*a, -4*j + 2*a = 18. Let l be 12\/(-18) + j\/(-3). Put -29, i, l in ascending order.\nAnswer: -29, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 991.\nAnswer: 1\/991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r - 10. Let x be n(6). Let s = -2 + x. Solve 4*g + 0*g - s = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4)\/f*f)\/((f*f*f*f**3)\/f)*f**14\/(f\/f**(1\/2)) assuming f is positive.\nAnswer: f**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*n**4 - 2*n + 2*n**3 - 4*n**4 + 3*n**4 as c*n + s + i*n**2 + y*n**4 + x*n**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -1. Let q = 727 + -8729\/12. Let u = 103\/276 + q. Which is the closest to 0? (a) n (b) -1\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (6\/10)\/((-5)\/(-3125))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 3*y - 3. Let f be 2\/10 + (-484)\/20. Let a be f\/(-10) + (-6)\/(-10). Let w be m(a). Sort 2, w, 1 in descending order.\nAnswer: 2, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(11)*3 + sqrt(2695)\/sqrt(5) + (4*((2*sqrt(33)*-3 - sqrt(33)) + sqrt(33) + sqrt(33))\/sqrt(3))**2.\nAnswer: 22*sqrt(11) + 4400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -78*y + 18*y - 240 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6026614084.\nAnswer: 2, 113, 13333217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6 - 2*x**2 + 5 + 2*x + x**3 + 2*x**3. Let s be q(1). Solve 3*y + 6 = 4*y - 5*j, y - j + s = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - -2. Let s(z) = -3*z**2 - 5*z - g*z + 8*z. Let l(a) = -3*a. Determine s(l(p)).\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11\/3 + 5. Let f(j) be the first derivative of 1\/4*j**4 + 7*j - 5\/2*j**2 + s*j**3 + 5. Give f(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.123*-120.\nAnswer: -854.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005579 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-120 + 120 - 103*d)*(0 - 4 + 8).\nAnswer: -412*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + 2 + (sqrt(13) - sqrt(325)*1) + sqrt(208)*-1 + 0).\nAnswer: -24*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6801, 0 in decreasing order.\nAnswer: 0, -2, -6801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 16 + 19. Calculate the remainder when 15 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 - 24 = -3*s. Let g = s - 43. List the prime factors of ((-1938)\/85)\/(g\/(-5)).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.57 + 1.47. Let f be 2 - (-180)\/171*(0 + -2). Which is the second biggest value? (a) q (b) 3 (c) 6\/11 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 at most 5833090?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100816293.\nAnswer: 3, 223, 150697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a decade in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2*q = 4*a - 56, 5*q - 44 = -4*a. Let o be a\/((3\/6)\/1). Let t be o\/14 + (-4)\/14. Solve t*j = 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 15542.\nAnswer: 6\/7771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**2 - 1609*u + 216. Give l(-230).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6*n + 16. Let i = -60678 - -60681. Let s = 36 + -26. Let f(x) = 2*x - 5. Determine i*z(v) + s*f(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + 0)**2 - (sqrt(2) - 3*2*sqrt(2)).\nAnswer: 5*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2583725 to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - r + 18. Let y be 12\/18*78\/4. Suppose -4*z + 107 = 5*v, 0 = z + 4*v - 0*v - y. What is the remainder when z is divided by t(0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 4*p**2 - 3*p - 1. Let s be y(3). Suppose 4 = 5*d - s. Suppose 5*h - 5*m + d*m - 34 = 0, 3*m = 12. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124297.\nAnswer: 124297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/3)\/((-10)\/75). Suppose -r = x*g + 1700004, -4*g - g = 5*r + 1700020. What is g rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3014712 rounded to 2 decimal places?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -634146 rounded to the nearest 1000?\nAnswer: -634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -1. Let a(p) = 11*p**2 + 3. Suppose -2*j - 1 = -3*j. Let x(q) = j*a(q) - 2*o(q). What is the derivative of x(d) wrt d?\nAnswer: 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 680, 2.\nAnswer: 2\/3, 2, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 29*v**2 + 9*v - 21. Give a(3).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.33 + 17.6. Suppose 5*b + 85 = -3*t, 654*b + 17 = -4*t + 653*b. What is the closest to t in -0.1, -1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179 - 72. Determine m so that 392 - 82*m - 54*m**2 - g*m - 2*m**3 - 147*m = 0.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*b - 6*b - 8, -z + 1 = b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 804*i - 2416*i + 808*i = -807*i + 105, j + i - 38 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from kohokhhmho?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -4, 0, 526 in increasing order.\nAnswer: -4, 0, 11, 526","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -12\/116965 and 31\/11.\nAnswer: 1286615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of 7*h**4\/16 + h**3\/2 - h**2\/8 + 40. Factor l(k).\nAnswer: k*(k + 1)*(7*k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -146*d + 144*d + 4, -4*h - 16 = -2*d for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65427, 65414, 65393, 65364, 65327, 65282?\n\"Answer: -4*t**2 - t + 65432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 42*r + 355. Is 23 a factor of n(-31)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -20*i**5 + 197780*i**4 + 1781835*i**3 - 1930160*i**2 + 494900*i = 0?\nAnswer: -10, 0, 1\/2, 9898","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(7)*3*-6)**2 - (sqrt(7) - (sqrt(252) + -1 - sqrt(252))**2) - -5*((sqrt(7) - -4*sqrt(7)*2) + -3)**2).\nAnswer: -25745 + 1355*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of 27*d + 0 + 0*d**3 + 39\/2*d**2 - 1\/60*d**6 + 1\/15*d**5 + 1\/4*d**4. Let p(u) be the first derivative of k(u). Factor p(y).\nAnswer: -2*y*(y - 3)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1186 - -650. Let g = q - -722.7. Let y = 199 - g. What is y rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k - 18 = -k. Let d = 5 - 7. Sort k, d, 1 in increasing order.\nAnswer: k, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -94.234343 rounded to 1 decimal place?\nAnswer: -94.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -g*h**2*y**2 - 3*g*h**2*y + 10*g*w*y - 3*h**2 + h*w*y**2 + 2*h*w + 2*h wrt g.\nAnswer: -h**2*y**2 - 3*h**2*y + 10*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 + 5*i**2 + 2*i - 2. Calculate p(-6).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2\/7, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 9*v + 35 = 0. Suppose 1 = -4*m + 37. Let j be (-6)\/m*6\/(-16). Which is the second biggest value? (a) j (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -129*w**2 + 5*w - 5. Let s(z) = -64*z**2 + 2*z - 2. Determine -2*k(j) + 5*s(j).\nAnswer: -62*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*n**3 - 5*n + 18*n + 50*n**3 + 186*n**2 - 189*n**2.\nAnswer: -786*n**3 - 3*n**2 + 13*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5929 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4141 - 2293 - 1848 - 2*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + 7. Let b(c) be the third derivative of -64 + 0*c - 1\/2*c**3 + c**2. What is 14*b(f) + 6*z(f)?\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1857?\nAnswer: 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4334.661 rounded to the nearest 10?\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -216821\/20 - -10847. Calculate the common denominator of d and 151\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560*o**2 - 268*o**3 - 560*o**2.\nAnswer: -268*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -733*b**6*p + 3*b**5*p**3 - 5*b**2*p + b*p**2 + 221*p**3 wrt b.\nAnswer: -87960*b**3*p + 180*b**2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 765*b - 1054. Give l(0).\nAnswer: -1054","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.99 + 0.01. Let x(t) = t**2 - 11*t + 19. Suppose 6 = 5*p - 3*p, 3*z - 4*p = 12. Let l be x(z). Which is the nearest to 1\/3? (a) -5\/3 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100101010001 (base 2) to base 6\nAnswer: -15013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 15 = -16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, c: 4, k: 6, q: 4, d: 1}. Give prob of sequence ck.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-7)\/9))\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3178 = -2*p, -2*p - 4*l + 936 + 2202 = 0. What are the prime factors of p?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220900 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -12*w + 1. Give l(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in -1\/12, -4, -36, -2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 13*h**2 + 4*h - 4. Let y be j(13). Let z(a) = 39 + 3*a + 5*a - 12 - y*a. Is z(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 30*h**2 - 33*h + 63. List the prime factors of s(19).\nAnswer: 3407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 + u**2 - 46*u - 8. What is the remainder when m(-6) is divided by 149?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 577800 and 18.\nAnswer: 577800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5588, 10499, 15410, 20321?\n\"Answer: 4911*u + 677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283221 by -5.\nAnswer: -283221\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32451 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-234)\/624 - (-544723)\/8. What is s rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*((-70)\/(-45))\/(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 - -251. Solve -3*v = -w*v - 42 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -18722.\nAnswer: -1\/9361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:51 PM?\nAnswer: 6:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 112051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2. Let v(f) be the first derivative of f**3\/6 + 2*f + 1. Let r(x) be the first derivative of v(x). Determine j(r(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -0*h + t + 268, 5*h - 4*t - 324 = 0. Let b be h\/7 - (-6)\/21. Suppose -b*v + v + 297 = 0. Calculate the highest common divisor of 11 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16262 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1610899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -176 and -51211.\nAnswer: 9013136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.8 - 0. Let i = -1 + n. What is the nearest to -1 in -2\/7, i, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24656550 and 3945048.\nAnswer: 98626200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 194 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218354 + 61807 = -4447*t for t.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -788*n**5 + 45*n**3 - n**2 - n - 4090 wrt n.\nAnswer: -47280*n**2 + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*c - c + 0*c)*(-210 - 105 + 135 + 2*c) to the form o*c + t*c**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 6*j + 21. Let m(p) = -p - 4. Suppose 16 = -3*y + 28. Let s(q) = y*n(q) + 21*m(q). Let u(l) = 6*l. Give u(s(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**3\/21 - 2*z**2\/3 + 8*z\/7 = 0.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 0*a + a + 182 + 0*a - 191. Let l be y(-8). Calculate the common denominator of 20\/3 and 3 - l\/(-6) - (-545)\/(-75).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, s: 3, g: 1}. Give prob of sequence qs.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -11*c**6\/60 - c**5\/5 + c**4\/3 + 4*c**3\/3 - 23*c**2 + 3. Let q(k) = -15*k**3 - 8*k**2 + 5*k + 5. What is -5*f(u) + 8*q(u)?\nAnswer: -10*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1372 - 556 = 48*g. What is the remainder when 542 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) -2 (c) 25 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n + 20 = 22*n. Let w = -113\/116 - -21\/29. Which is the nearest to -0.1? (a) n (b) w (c) 3 (d) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 7:14 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17907.0019097 + -17907. What is x rounded to 5 decimal places?\nAnswer: 0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange x**4 + 0*x**4 + 0*x**4 + (0*x + 0*x - 7*x**3)*(5*x - 3*x - 3*x) to the form u*x + n*x**2 + f + s*x**3 + a*x**4 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.024 - -0.224. Let w = -224.9 + 225. Which is the smallest value? (a) w (b) -3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5473960?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 12) in base 9?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 86.\nAnswer: -7\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 276731829.\nAnswer: 3, 11, 931757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51727 - 70?\nAnswer: -51807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*h**2 + 3\/7 - 6\/7*h.\nAnswer: 3*(h - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -96, -250, -404, -558?\n\"Answer: -154*y + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 1099, 2918, 5465, 8740, 12743?\n\"Answer: 364*h**2 - h - 355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5\/31 - 169\/279. Put -0.3, r, -5 in increasing order.\nAnswer: -5, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000441299462 to six dps.\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231221020 + 33022?\nAnswer: 231320102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5487, 21891, 49307, 87825, 137535, 198527, 270891, 354717?\n\"Answer: 15*p**3 + 5416*p**2 + 51*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 11*j**5\/20 - 233*j**3\/6 - 15*j**2. What is the derivative of h(k) wrt k?\nAnswer: 66*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f + 20*f**2 + 22*f**2 - 39*f**2 + 1 + (-3*f + 2*f - f)*(-2*f + 3 - 3).\nAnswer: 7*f**2 - 2*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -6\/7, -2, -4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677376?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bm when two letters picked without replacement from bjjjzzzmbz?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0, -128, -0.8, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 - 0 - (171 + -165)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13\/2 - -6. Let i = 0 + 0. Let j be 1*(-4)\/(-48)*4. What is the closest to 0.2 in h, j, i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11575 + 6782. Put m, 0.1, 5 in increasing order.\nAnswer: m, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*k**3 - 1412*k**3 + 251*k**3 + (-k + k - 2*k**2)*(-k + 2*k + k) as o*k**2 + w*k + n*k**3 + j and give n.\nAnswer: -1368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 493, 489, 463, 403, 297, 133?\n\"Answer: -2*y**3 + y**2 + 7*y + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**3 - 262985*m**2 - m**3 - 6*m**3 + 262985*m**2.\nAnswer: -15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -164291*h**3 + 282205*h.\nAnswer: -985746*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i - 40*i + 175 = -w, 6*w - 4*i + 190 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) -1\/4 (b) 2\/3 (c) -6\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-12)*(-3)\/(-1). Suppose -n*s + 4 = -0. Solve s - 5 = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 124 + -163. Let z be (-6)\/t - (-119)\/(-13). Is (-6)\/z - (5 + 6928\/(-12)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1\/(-3))\/(7\/(-441)). Solve -4*a + 5*k - 4 = k, -3*a = 3*k - c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3941084 + -0.05.\nAnswer: -3941084.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131213318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m*m*m**2)\/m*m)\/m)**(-15\/7)\/((m\/(m*((m**4*m)\/m)\/m))\/m)**39 assuming m is positive.\nAnswer: m**(1032\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 89*s**2 + 130*s + 323. Calculate v(-3).\nAnswer: 734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86704 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -407.7078 rounded to zero decimal places?\nAnswer: -408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**3 + 3732*o**2 + 3869*o wrt o?\nAnswer: 6*o + 7464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by -47?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -2*x**3\/13 - 16944498*x**2 - 6065325653331846*x\/13 + 6065325873610322\/13 = 0.\nAnswer: -55069619, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 4*s - d - 375, 5*d + 99 = s. Let f = s - -20. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1342852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/(5*2*sqrt(9)))\/(((sqrt(135) - (sqrt(135) + sqrt(135)*-1))\/sqrt(9))\/sqrt(3)).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 902977357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2468.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 363331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - s - 23 = -26, -3*p - 5*s + 17 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -566 - -571. Which is the third biggest value? (a) -2 (b) 2 (c) 1 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 632 + -625.02. Let f = k - -0.02. Let z = -6.5 + f. Sort z, 2\/3, 3 in decreasing order.\nAnswer: 3, 2\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6803012?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2584504 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 102 - 94. Put -4, 7, 2, a in decreasing order.\nAnswer: 7, a, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**4\/4 - 29*o**3\/3 - 14*o**2 + 50*o + 163. What is the remainder when 447 is divided by c(-28)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924585764?\nAnswer: 2, 97, 2382953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.6 and 8.8675.\nAnswer: -5.3205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.42061355 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 2*c - 5. Let b be g(4). Let y(n) = 2*n**2 - n**2 - 7*n**b + 3*n**3. Calculate y(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845530\/(-70675) + 4\/(-110)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) + sqrt(189)*-2)*5)\/(sqrt(12)\/(6*sqrt(20)\/sqrt(5))) + 1.\nAnswer: -90*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3072) - (sqrt(3072) + (sqrt(3072) - sqrt(3072)*1)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 2. Let d be g(0). Suppose d*m + 0*m = 3*t - 240004, 80008 = t - 4*m. What is t rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + 3 - (-3 + sqrt(171))**2) + 6*(sqrt(76)\/(-5*sqrt(20)\/sqrt(5)))**2.\nAnswer: -4286\/25 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80400?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383 - 3476 - (1 + -4)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -742.64 + 747. Is 1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15812808*i**2 - 119*i - 2566 wrt i.\nAnswer: 31625616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 5*v - 1. Calculate a(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 6*w. Let s be ((-7)\/2)\/(1 - (-95)\/(-100)). Let h = s - -72. Solve -p - 1 - h = w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1275633610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(363) + 0)*-5)**2 + sqrt(363).\nAnswer: 11*sqrt(3) + 9079","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 484, 975, 1470, 1969, 2472, 2979, 3490?\nAnswer: 4005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14903741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4908?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -538 bigger than 7152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/1219 in -1, 3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/2 (b) 0.3 (c) 0.08 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 15)*(30 - (66 - 35))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 215\/8 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-4*(sqrt(152) - (sqrt(152)*1*-4 - sqrt(152))))\/(sqrt(48)\/(1*sqrt(6))*-3) + -5)**2.\nAnswer: -80*sqrt(19) + 1244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 110344 - -2?\nAnswer: 110401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.1 - -0.2. Let n = 2 + r. Let s = 0.9 + n. What is the closest to s in 4, 3\/5, 1\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cee7 + 4?\nAnswer: ceeb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.901 rounded to one dp?\nAnswer: -32.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 53 (c) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 3*((-4)\/(-30) + 15\/(-25)*-1857)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -177592 - -710369\/4. Factor c*h**2 + 1\/2 + 3\/4*h.\nAnswer: (h + 1)*(h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18883546)\/(-180334) + (-26)\/7.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 427, 641, 857, 1075, 1295?\nAnswer: 1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 931509?\nAnswer: 3, 29, 43, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/8516)\/(1 - 28\/32). Let u = i + 55414\/31935. Is 2 at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7550, -15302, -23412, -32060, -41426, -51690, -63032, -75632?\n\"Answer: -30*v**3 + v**2 - 7545*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = 56. Suppose -c = 4*p - 48, -2*p - c = -3*p + 12. What is the common denominator of -27\/20 and (166\/6)\/(q\/p)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 PM and 7:19 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12))\/((3\/27)\/(30\/(-9)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 + 16*b**4 + 44*b**3 + 56*b**2 + 34*b + 8.\nAnswer: 2*(b + 1)**4*(b + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = 3554 - 50393. Suppose 5*j = 2*i + r, -4*j - 5*i + 2881 = -8*i. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12767 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.69615947 and 5.\nAnswer: -38.48079735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/10*((-30)\/27)\/((-252)\/(-567))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -4*p - 2*v - 16, p + 4*v = -2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 79 = 4*q, 6*u - 84 = -10*q + 7*q. What is the remainder when (729\/(-18))\/(3\/(-8)) is divided by q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c - 18?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 195855 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -42421 or -42417?\nAnswer: -42421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44200 divided by -442.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3559 = -11*o - 3273. Solve -18*f - 16 = -o*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 4:49 AM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, t: 4, g: 3}. What is prob of picking 1 p and 2 t?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4.485834 centuries?\nAnswer: 0.4485834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -5*u**4\/4 + u**2 - 176. Calculate b(2).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526083645 to the nearest integer?\nAnswer: 807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 13*i + 19. Let k be (7 + 133\/(-14))\/(1\/6). Determine b(k).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -32, -2 in descending order.\nAnswer: 2, -2, -9, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 77*m**2 - 1. Give x(1).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*b + 1)*(-6 - 40 + 13 + (-3 + 1 + 0)*(2 + 4 - 4)).\nAnswer: 74*b - 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 2\/(4\/6). Let p = -23197 - -23198. What is the third biggest value in n, -0.4, 0, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/40 and -49\/460.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/176)\/((-4)\/308).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-4)*(-144)\/6. Suppose 0 = q - 5 - f. Suppose 0 = -p + 3*p - 134. What is the remainder when p is divided by q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, f: 4}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 693864*z**4 + 4*z**3 - 2*z - 8564479 wrt z?\nAnswer: 8326368*z**2 + 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/2)\/2 + (-15)\/((-555)\/(-74)). Solve -t*g + g - 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1165 is divided by 106?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 6*f - 10. Let g be x(8). Let d be (249\/(-81) + 3)\/((-2)\/g). Let h = -14 + 5. What is the third biggest value in 1, h, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 2 - 2)*(-3*r + 7*r - 2*r) + (3*r - 5*r + 4*r)*(-4*r - 3*r + r).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1811 times -3\nAnswer: -5433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of -a**4\/4 - 2*a**3 - 4*a + 3. What is g(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -66.227. Let n = 11 + -10.76. Let u = n + i. What is u rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -490*h**2 - 583*h**2 + 1011*h**2.\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -496*c = -502*c + 6804. Suppose -4*l - c + 3012 = 5*a, 3*l + 1899 = 5*a. List the prime factors of a.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.15 (b) 8 (c) -3.1 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 - (8\/1 - 12\/3). Suppose a = 5*v - z - 34 + 8, 0 = 4*v - 3*z - 23. Suppose 1 = -w - 0*w - v*q, -w + 2*q + 6 = 0. Solve -g = -0*g + w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ueet when four letters picked without replacement from {t: 1, e: 5, u: 3}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189476 + 189478. Let h be (1\/(1\/2))\/5. Which is the closest to p? (a) h (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2040025*r**3 + 1020017*r**3 + 1020020*r**3.\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*w + 1465 - 1705 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1004041 - 3?\nAnswer: 1004036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqkw when four letters picked without replacement from {q: 2, n: 1, w: 2, k: 1, h: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -83.756056?\nAnswer: 41.878028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + 4*i)*(2*i**3 - 2*i**3 + 2*i**3) - 2*i**2 + i**4 + 2*i**2 + 2*i**3 - 2*i**3 - 6*i**4 - i.\nAnswer: -i**4 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 7:28 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ytcprrr. What is prob of picking 1 t and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**2 + c**2 + 8*c**3 + 0 + 0*c**3 + 9 + 7*c. Let d(f) = -7*f**3 + 2*f**2 - 6*f - 8. Calculate -7*d(u) - 6*z(u).\nAnswer: u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/54)\/((-20)\/9 - -2)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o + d + 5, -33*o = -31*o - 12*d + 76 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three fifths of a microgram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -75, -169, -285, -423?\n\"Answer: -11*n**2 - 61*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -17. Let h be (-7)\/(-4)*(-4 + 0). Let r = s + h. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13*l**2 - 16*l + 5. Let d(g) = 15*g**2 + 17*g - 6. Let c(p) = -6*d(p) - 7*n(p). Let j be c(-11). Solve 4*y - 2*y = -4*a - j, -a = -y + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(27\/2)\/(k*(k*k\/(k*k**(3\/25)))\/k))\/((k**(5\/9)*k)\/(k\/((k\/(k*k*k**(-27\/2)))\/k))) assuming k is positive.\nAnswer: k**(127\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -3*x**5\/5 + 3*x**4 - 5*x**3 + 3*x**2 + 4. Let v(t) = 0. What is t?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 - 57*l**2 - 71*l - 124. What is the hundreds digit of m(31)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*s**5 + 1714*s**2 - 431344*s wrt s.\nAnswer: 80*s**3 + 3428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -104015460 (base 7) in base 8?\nAnswer: -27633007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 4. Let j be c\/(2\/(-12)) - -1. Suppose 0 = -k + j - 2. Solve -17 = k*m + 8 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.38 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 10:16 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 6, d: 4, g: 2, r: 3}. Give prob of picking 3 i and 1 r.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16765 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 87931 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385059?\nAnswer: 3, 37, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49733712 and 558122768?\nAnswer: 5023104912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = g + 4 - 6, 0 = 5*g + 2*z - 13. What is the second derivative of 2*f**4 + 7*f**4 + 13*f**4 - 21*f - g*f wrt f?\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.99 - 0.59. Let g = w + -8. Let f = g + -3.1. Is 1\/7 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -11*d**3 + 5*d**2 + 5*d + 4. Let w be t(-3). Suppose 2*l = 2247 - w. Suppose 46*q - 45*q = l. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.741 + -0.441. What is the closest to -0.1 in -2, 6, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944699 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 659, -853, 135 in descending order.\nAnswer: 659, 135, -853","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2496 is divided by 279.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -10925700 to the nearest 10000.\nAnswer: -10930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - r - 2*r)*(5433*r**2 + 167*r**3 - 5433*r**2)*(-6 - 5 + 5).\nAnswer: 2004*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*b**4 - 24*b**4 - 4*b**3 + 3*b**3 - 18*b**4 + 69*b - 4 in the form a*b + y + j*b**4 + i*b**3 + w*b**2 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 16 = -4*r, -5*r + 17 = -4*c - 3. Let b(j) be the third derivative of c*j - 1\/24*j**4 + 0 + j**2 + 5\/6*j**3. What is b(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 40 = -0*m - 3*n, m + 5*n = -20. Find the second derivative of -54*f**m - 11*f**4 - 10*f**4 - 30*f + 21*f**4 - 2 wrt f.\nAnswer: -1080*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4091192)\/856296*-3*1\/(2\/3)\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 6) + -1 + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -33*p**6 + 7*p**5 + 212*p**4 - 11*p**2 + 2*p - 721 wrt p.\nAnswer: -3960*p**3 + 420*p**2 + 5088*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from hchhcccchddcdcdd?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00104664 rounded to 5 decimal places?\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.5, 769961, -2.04 in descending order.\nAnswer: 769961, 0, -0.5, -2.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 3*a - 8, 3*a - 5*l = 2*a - 10. Solve a = 4*j + j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4944, 4988, 5078, 5220, 5420, 5684, 6018?\n\"Answer: s**3 + 17*s**2 - 14*s + 4940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + c = -2. Suppose -4*p - 2 = c*y - 0*y, -5*p = -3*y - 25. Suppose -17*w + 14*w + 15 = 0. Solve 30 = w*l + p*o, 5 = -4*l + 5*o - 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 5.26.\nAnswer: -21.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1732*f + 65484 + 15920 = 0 for f.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -4. Suppose 109 = -67*s - 65 - 27. Let v = 12 - 10. Put v, 0, w, s in decreasing order.\nAnswer: w, v, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -61*a - 193. Let j be q(-4). Put j, -4, -1\/4 in increasing order.\nAnswer: -4, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 23*j - 78. Let x(t) = -42*t + 156. Give 11*b(g) + 6*x(g).\nAnswer: g + 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 - 3*f - 4. Let p(z) = 9*z**2 - 5*z - 7. Let n(l) = 7*m(l) - 3*p(l). Let a be 24\/(-14)*(143\/22 - 10). Determine n(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 213.9 * -1.1.\nAnswer: -235.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(3 + (-12)\/8). Suppose 166 = b*o + 34. What is the greatest common divisor of 55 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 5*b**2 - b**3 - b**2 - 4*b**2 + 2*b - 11 - b**2. Determine x(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 = -0.11811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 5*q + 48. Let v = q + 27. Solve 0*a - a - 10 = v*f, 0 = 4*f - 2*a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 4*c - 60. Calculate the highest common factor of c and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 13*w**2 + 7*w**2 - 17*w**2.\nAnswer: -23*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 3*u + 0*u)*(-2*u + 4*u - u) + u**2 + 2*u**2 - 5*u**2 + 3*u**2 + 3*u**2 - 5*u**2 + (4*u + 0*u - 2*u)*(4 - 3*u - 4) to l*u + q*u**2 + x and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 67357*r*t + 2*r - 47*t**3 + 11*t + 24889204 wrt t?\nAnswer: 67357*r - 141*t**2 + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 834232689 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, k: 6, p: 1, v: 3, n: 1}. What is prob of picking 1 n and 1 v?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 249.\nAnswer: 2490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6 - 3*n + 3*n - 3*n + 1. Is f(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, m: 2, k: 7, f: 7}. What is prob of sequence llfm?\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 - 6*s**2 - 22*s - 158. Give o(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes after 12:02 PM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 2*u + 78, 1 = 47*u - 48*u. What is the greatest common divisor of 104 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 663.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/(-33) + ((-234)\/(-12))\/(-13) and -23\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 16 + -26 - 21\/(-2). What is the closest to q in 0.7, -4, 2?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 103, 1.6, 6, -2.2, 0.4 in descending order.\nAnswer: 103, 6, 1.6, 0.4, -6\/11, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.58 + 7.62. Let r = p - 9. Sort -1, 1\/8, r in ascending order.\nAnswer: -1, r, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89.85723 years to millennia.\nAnswer: 0.08985723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -223 (base 4) in base 8?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 11*f**6\/240 + 3*f**5\/20 + 5*f**4\/24 - 31*f**2. Let s(v) be the second derivative of q(v). Differentiate s(y) wrt y.\nAnswer: 33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1728\/(-160) - (27 - 19 - 20). Let 0 - 9\/5*t**2 - p*t - 3\/5*t**3 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1688 less than -177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 413294.071 to the nearest 1000.\nAnswer: 413000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vzcc when four letters picked without replacement from {v: 4, c: 2, o: 1, z: 3}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 - 8. Let d be g(0). Let r = d - 0. List the prime factors of r\/(-1)*(-7)\/(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -1\/3 (b) -2\/9 (c) -2\/25 (d) -5 (e) 105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -223c64 + -4?\nAnswer: -223c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 213322 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 6*g - 17 - g.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 572*d + 4016. Determine m(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -172082\nAnswer: -860410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -453256 - 20?\nAnswer: -453306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 1:23 PM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2)\/4*(-3957 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**3 + 0*n**3 + n**3)*(-6*n**2 + 4*n**2 + 1 + 0*n**2) + n**5 + 2*n**5 - n**5.\nAnswer: -2*n**5 + 2*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 36a826b2?\nAnswer: -36a826b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 643*d - 7 - 77*d.\nAnswer: -720*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -399092 + 16?\nAnswer: -399076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = 5*s - 10, 12*l - 13*l = -5*s + 22 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.2 - -3.2. What is the second smallest value in p, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 376.791118745 and 8.\nAnswer: 384.791118745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 - 22*t - 178. Let d be z(-6). Calculate the greatest common factor of d and 770.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/51 + 95133089\/3247?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54379?\nAnswer: 13, 47, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 332 is divided by 54?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 85820\/80 - 1\/(-4). Let g = 1580 - r. What are the prime factors of g?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100 - 10?\nAnswer: 1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -8. Suppose w*f - 2*g - 1049 = 0, 3*f + 0*g = -5*g + 617. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 897*z = -1317*z + 6642 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 890.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 297642310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2751, 2900, 3049, 3198, 3347, 3496?\n\"Answer: 149*c + 2602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000009989 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0070234 rounded to 5 decimal places?\nAnswer: 0.00702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -x**5\/20 + 2*x**4\/3 - 2*x**3 - x**2\/2 - 3137*x. What is d(7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 1345034.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b + 20 - 14 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 + 8?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1196.37724109 - 1196.92724. Let j = -193.55 + 193. Let n = r - j. What is n rounded to 7 decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5)*g)\/(g**(-1\/11)\/g)*g**0\/(g*g**(-3)) assuming g is positive.\nAnswer: g**(258\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4239985?\nAnswer: 5, 847997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 220 = -2*k. Suppose -s - 140 = s. Let x = k - s. What is the highest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 175*f**2 + 59*f + 226. What are the prime factors of s(-5)?\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 122 = -5*s, 5*s - 8 = a + 6. Let c = a - -57. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 8:14 AM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1 + -2*sqrt(243)*2.\nAnswer: -36*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**2\/2 - 2. Let f(z) = -14*z + 1 + 3*z**3 - 4*z**3 + 24*z - 15*z - 4*z. Give -18*d(v) + 2*f(v).\nAnswer: -2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114595 = 5*p + 3*w, -68757 = -3*p + 16*w - 25*w. Is 41 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/((l**(-4)*l)\/l))\/l*l)\/l)**(-1\/6) assuming l is positive.\nAnswer: l**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 291108*n**2 + 5296928364*n + 15888165228.\nAnswer: 4*(n + 3)*(n + 36387)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 2068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -11. Let j(b) = 0*b**2 + 6*b - 7*b**2 - b**3 - 2 - d - 3. Calculate the remainder when j(-8) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20097837677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6*q + 9. Let r(a) = -3*a - 4. Let o(w) = -3*l(w) - 5*r(w). Let s(z) = -2*z - 7. Let n(b) = -4*o(b) + 5*s(b). Determine n(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5327418 rounded to 2 decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92651 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffys when four letters picked without replacement from {f: 4, s: 5, y: 5}?\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, x: 2, a: 1, v: 1, u: 1, m: 1}. Give prob of sequence umxo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2753 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(128) - (1 + sqrt(128) + sqrt(128)*-1 - sqrt(128))) + 3 + -1*sqrt(16)\/((sqrt(8) + sqrt(8) + sqrt(16)\/sqrt(2))*4 + sqrt(8)) + 0)**2.\nAnswer: -414*sqrt(2)\/13 + 85867\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 52 and 1040?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**5\/80 + 5*x**4\/24 + 3*x**3\/8 - 35*x - 73. Let z(n) be the first derivative of g(n). Factor z(j).\nAnswer: j*(j + 1)*(j + 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37*s + 21*s - 18*s**2 + 18*s)*(-2*s**2 + 3*s**2 + s**2) to the form a + y*s**4 + v*s**2 + w*s**3 + n*s and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -16*w**2 - 8*w - 8. Let h be (5 - 1) + 133\/(-19). Let t(m) = 5*m**2 + 3*m + 3. Let k(g) = h*l(g) - 8*t(g). Let z(a) = -4*a**2. What is k(z(i))?\nAnswer: 128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12313472 + 103?\nAnswer: -12313367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8758.37 + 8696. Let n = -67.2 - x. Let c = -0.17 + n. What is the third smallest value in -2, c, -8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from bbbbbbbbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 35. Which is smaller: o or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 417784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7.4 - 5.6.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 9*y - 9040 = 0. Suppose 5*v - 1697 = y. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2702, -2656, -2580, -2474, -2338, -2172, -1976?\nAnswer: -1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148318 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: What is -1*5 + (-1 - (-15 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 490069008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1052 + -1051. Let s be ((-2)\/24)\/((-2)\/9). What is the nearest to -0.06 in s, 2, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -868659, -1737256, -2605853, -3474450, -4343047?\nAnswer: -5211644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 3 - 16 = -3*c, 3 = c + y for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5205 + -3496. List the prime factors of p.\nAnswer: 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, b: 2}. What is prob of picking 1 y and 1 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 88*j**2 + 4*j - 35. Let o(g) = 30*g**2 + g - 11. What is 2*n(w) - 7*o(w)?\nAnswer: -34*w**2 + w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 2*u + 4*u)*(-u - 4*u + 4*u) + (-16 + 16 - 8*u)*(u - u - 2*u).\nAnswer: 14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -41*o**4 + 11*o + 132. Let d = -122 + 111. Let p(l) = 14*l**4 - 4*l - 44. Let x(c) = d*p(c) - 4*s(c). Differentiate x(q) wrt q.\nAnswer: 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 - 19. Suppose 3*o = x*o - 70. Suppose 0*t + t = -4*j - o, -3*t + 9 = -j. Solve 0 = -5*z + 5*k + 10, -z = 4*z - 2*k + t for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12399088 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 1118*y**3 + 9*y**2 + 4*y. Give s(-1).\nAnswer: -1113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 231*q - 881*q - 326*q + 21472 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-5 - 0) + -6 + 20. Suppose 5*h - 2*y = 0, -4*y + 30 = x. Let j = -2 + 2. Solve 6 = -h*c - j for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 2*p - 4 = 0, -i - 4*i - 28 = 2*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 1\/7, -1, 1, 0.2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468 by 5.\nAnswer: -468\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 4*y + 124, 4*n + y = 2*y + 121. Let p = n - 7. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 217.5788223 + -199.57882. Let n = 18 - y. What is n rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-56))\/(348\/(-3654))?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 657.1 (b) -119\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -554 - 465153?\nAnswer: -466040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f - 8*f + 21*f + 0*f + 0*f.\nAnswer: 7*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 5*x + 131*v - 1 = 134*v, -3*x - 135 = 41*v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-207)\/(-63) + (-15)\/(-21) + 1 + 11436?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3313*q + 2840 = 856*q - 48784 - 31914 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -47*h + 15 - 15. What is the tens digit of o(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 316 + -0.57\nAnswer: 315.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1035 + 33736?\nAnswer: 34772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (164*p**3 - 76*p**3 + 6630*p - 87*p**3)*(-1 + 1 + 2*p) to c*p + x*p**4 + r + b*p**3 + n*p**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -96082001 minus 0.3?\nAnswer: -96082001.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 greater than or equal to 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(3\/5))\/o**(1\/2)*o\/o**(-4)*o*o**(-1\/5))**31 assuming o is positive.\nAnswer: o**(2449\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1094 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*w**5 + 12*w**2 - 12*w**2 + (15 - 15 + 7*w**3)*(-2*w**2 + 4*w - 4*w) - 2*w**5 + 6*w**5 - 21*w**5.\nAnswer: -42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 38 = 14*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/40 and -91\/166371316.\nAnswer: 1663713160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14 - 4 + 11)*(-t + t + 2*t) in the form r*t + x and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((1*(sqrt(95) - (sqrt(95) - (2*sqrt(95) + sqrt(95)))))\/(-4*sqrt(15)\/sqrt(3)) - ((sqrt(19) + sqrt(1539))*-1 - (-3 + 1 + sqrt(19)))**2).\nAnswer: -519*sqrt(19)\/4 + 6909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 43*t - 35. Let m be r(1). What is the greatest common factor of 12 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.896083 rounded to 2 decimal places?\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 + 4 = 0. Let u be (-2 + (-30)\/(-16))*t. Let k = 44 + -43. Which is the second smallest value? (a) -0.17 (b) k (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0.3, 0.11, -20, -2\/177, -2, 4?\nAnswer: -2\/177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 283273449 a multiple of 7041?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = 12. Is (-45)\/(-6)*(-356)\/l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 - 623430144*x + 48583143055982592.\nAnswer: 2*(x - 155857536)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7286*x + 34354*x - 2490256 for x.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -6*o**3 - 7519*o**2 - 1254*o - 1274. Determine c(-1253).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.09, -29503, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 55\/2*g**2 + 35\/4*g + 30*g**3 + 5\/4*g**5 + 25\/2*g**4.\nAnswer: 5*g*(g + 1)**3*(g + 7)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**3 - 1356*f**2 - 49*f + 22129. Determine l(452).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 90*t - 84*t. Calculate the common denominator of 49\/117 and (-230)\/36 + t\/(56\/(-4)).\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 6.08, -2.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 6*y**2 + 9*y. Let w be s(7). Let v be 4\/w + (-14)\/49. Suppose 2 = 2*n - v. Which is the closest to 0.1? (a) n (b) -2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 342399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 5)*(-14 + 39 - 15)*(4 - 1 + 0)*(-2 - 2*q + 2)*(-3 + 4 - 3).\nAnswer: 480*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.11 + 4.11. Let q = w - -2. Which is the nearest to -2? (a) -3 (b) q (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.2 + 3.4. Let w = 7 - 11. Let p = 6 + -11. What is the second smallest value in w, p, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-18)\/(-27)*-3*250\/(-4). What is the highest common factor of 50 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287473 = 5467*x + 151652 + 69306 for x.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 137 = -5*d, -5*d - x = -1423 + 1262 for d.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + ((sqrt(108) + sqrt(108)*-2*-2 + sqrt(108) + 4*(sqrt(108) - (2 + sqrt(108))) + sqrt(108))*5)**2)*6.\nAnswer: -100800*sqrt(3) + 803388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 4*b**2 + 2*b**2 + 1 - 7*b**2 + 4*b. Let v be a(5). Let h = 5 - v. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y + 5. Let w be (-4)\/(-7) + 484\/(-14). Let f = w - -36. What is the smallest common multiple of y and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109921 - -213770. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 7, q: 6, o: 1}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -13 + -1 + (51 - 62)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -1\/5 (c) -5 (d) 5 (e) -41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 849594*v**3 + 1024*v**2 - 40*v = 0.\nAnswer: -2\/267, 0, 10\/1591","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*a - 9*a + 4*a - 12*a.\nAnswer: 24*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y = -33*y + 65*y + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in 3\/10, 1.2, 5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 8359 divided by 8359\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 172 + -168. Let b(i) = -2*i + 8. What is b(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6128908781 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -6, -10, -16?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1281060 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -10 + 4 + -16.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 21 + 2*d - 20)*(1 + 1 + 0).\nAnswer: -4*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16839 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmqxumqquumqu. Give prob of picking 2 q and 2 m.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14927 - 14899. Sort -2, 4, 0, d in descending order.\nAnswer: d, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*u + 69, 4*w - 5 = -5*u + 43. Suppose -348 + 1555 = w*b. What is the remainder when b is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 4177, 0.5.\nAnswer: -0.2, 0.5, 4177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f = 42*f - 280. Let k = -226 + f. List the prime factors of 3\/(k\/(-8)) + (-2050)\/(-26).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -5*a - a + 3*a**2 - 2*a**2. Is k(7) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 119102303 is divided by 696.\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 10:14 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1 - 6*g + 2 - 2. Let o(z) = z**2 + 22*z - 202. Let c be o(-29). Calculate b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*f**5 - 59*f**4 + 5*f**3 - 2*f**2 + 72*f - 6 wrt f?\nAnswer: -120*f**2 - 1416*f + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = p + 261. Let q = 589 - 386. Calculate the highest common factor of p and q.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6378849362?\nAnswer: 2, 43, 197, 376511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5\/7 + 8*f**4\/7 + 56*f**3 + 148*f**2 - 3270*f\/7 + 1836\/7 = 0. Calculate f.\nAnswer: -9, -6, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/6 + 3*d. Let j(o) = 4*o. Let v(c) = 77*c. Let t(w) = 56*j(w) - 3*v(w). What is n(t(a))?\nAnswer: -98*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22843198?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31872984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/9 (b) -0.17 (c) -0.3 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one fifths of a hour?\nAnswer: 15120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 209*r - 205*r = 12. What is the third derivative of -14*s**3 - 6*s**3 + 8*s**2 - 2*s + 48*s**r wrt s?\nAnswer: 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*d*m - 19023854*d - 2*m**4 - 2879*m**3 with respect to m.\nAnswer: -40*d - 8*m**3 - 8637*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 538993?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 210460, 210449, 210438?\n\"Answer: -11*c + 210471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 + 13*o**2 + 17*o + 54. Determine s(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/8 and 3.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 9*w**2 + 5*w. Let q(o) = -4*o**2 - 2*o. Let a(z) = 6*n(z) + 15*q(z). Let u(f) = -2*f**2. Calculate u(a(r)).\nAnswer: -72*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12120 (base 7) to base 6.\nAnswer: -22330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enz when three letters picked without replacement from {a: 1, e: 10, n: 4, z: 4}?\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from btbttbbbtbtbtttbtbb. Give prob of picking 2 b.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2969633278?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = 20. Let v(m) = -2 - 2 + 6 - m. Let z(x) = -x + 2. What is r*v(d) + 5*z(d)?\nAnswer: -d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1165569 and -107\/6?\nAnswer: 2331138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/2)\/1 + -1. Let c = -1531 - -1845. Differentiate c*v**2 - 158*v**2 + 23*v**3 - 156*v**l + 40 with respect to v.\nAnswer: 69*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2258*h**3*j - 193*h**3 + h wrt j.\nAnswer: -2258*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118440 and 182.\nAnswer: 1539720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 958366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(36\/(-8)))\/(97\/2037).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/66 + 1\/(-2). Solve u = -2*j + 7 - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, v: 1, k: 1, b: 2, t: 3}. What is prob of sequence kb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 40 = -5*x, -x = -5*c + 31 - 9. Let m be c\/100*76 + 2\/10. Solve -12 = m*u - 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, -3, -9 in increasing order.\nAnswer: -9, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15037920 divided by -25488.\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 5*s + 210, 3*f - s + 21058 - 21100 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19*(-380 + 383)\/(3\/(-7)).\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, -4, 1630, 1 in descending order.\nAnswer: 1630, 10, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + o**2. Let a = -9 - -3. Let h(p) = p**2 + 7*p + 2. Let q be h(a). Let u(f) = 2*f**3 - 3*f**2 + f. What is q*n(t) - u(t)?\nAnswer: 2*t**3 - t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -75\/4, -0.1, 0.4, 5, -69, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 3?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.4 (b) -59\/5 (c) 4820 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4279*d**2 - 17117*d**2 + 4271*d**2 + 4296*d**2 + 4272*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 758736529.\nAnswer: 41, 18505769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 885\/(-590)*1072846\/(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-5 + -6 + 12)) + -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.2227 - -0.7773. What is the closest to 0.4 in 3\/8, -3, 3, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d**2 - 9. Let s be v(4). Suppose -s = -4*q - 3. What is the highest common factor of q and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -8*f**2 + f + 2. Let b(p) = -p**3 - 7*p**2 + 2*p + 3. Determine -2*b(q) + 3*y(q).\nAnswer: 2*q**3 - 10*q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 159.\nAnswer: 1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5896586.\nAnswer: 2, 17, 173429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 60 = -2*t. Let x be ((-12)\/(-10))\/(4\/t). Let h = 469 - 451. What is the greatest common divisor of h and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 7*s**2 - s - 7. Let j(g) = g. Let k be j(-2). Let r(c) = -c**3 - 1. Let x(m) = k*r(m) + u(m). Let o be x(-7). Is o at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27*(38\/380)\/(14\/(-70))*2\/12?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11872211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k + 3*k**2 - k**4 + 120 - 122 - 4*k**2 in the form z + l*k + p*k**4 + n*k**3 + b*k**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 4*l - 18. Let v = -0.4 - -0.4. Which is the closest to v? (a) l (b) -2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -129*d + 135 wrt d.\nAnswer: -129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -255 = -o - 2*o + 3*z, -2*o + 176 = -4*z. Suppose 227 - o = 5*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide -6 + (-10 - (-43872)\/8) + -10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (140\/(-21) - -4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 774\/(-215)*(-3)\/(-24)*20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 8*z**2 + z - 2. Determine u(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.05, 2\/61, 2\/5, 1.2 in descending order.\nAnswer: 1.2, 2\/5, 0.05, 2\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-6 - 2) + 10 + -15 - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 + 249. Suppose -v + 4*v = -5*m + 2685, 0 = -2*v + f. List the prime factors of m.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence opp when three letters picked without replacement from dbpopiv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2648790814661 + -96.\nAnswer: 2648790814565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -2455?\nAnswer: -2456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 309 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21933 + -3933. Let r be (-4250)\/(2 - 36003\/k). Suppose r = -0*f - 5*f. Round f to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51360 and 470.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.98*0.51\nAnswer: -1.0098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -234 and 130.2?\nAnswer: 364.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -618 divided by -6?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*x - 4*c + 1, 0 = -2*c. Suppose -3*u = -61 - x. Factor 14*n**2 + 7*n**3 - 60*n**4 - u*n**2 + 25*n**5 + n**3 + 37*n**3.\nAnswer: 5*n**2*(n - 1)**2*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32138.4 + 10.\nAnswer: 32148.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 3787.44\nAnswer: -1514.976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.31 + -25.19. Let f = p + 19. Let x = 18 + f. Round x to zero dps.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 1) + 29 + -34.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i. Let l(t) = 12*t**2 + 96*t. Let h(u) = -48*j(u) + l(u). Let z(d) = -d. What is z(h(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 + 0*m**4 + 0*m**4 + (-18*m + 18*m - 5*m**3)*(5*m - m - 3*m) + 0*m**2 - 2*m**4 + 0*m**2 in the form z*m**2 + a + q*m + f*m**3 + l*m**4 and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 29 or 146\/5?\nAnswer: 146\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -375*a + 290. What is the units digit of m(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -44*h**2 - 3*h. Let b(y) = -5*y**2 - y + 1. What is -2*b(g) + w(g)?\nAnswer: -34*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (3 - (-57)\/6)*-2. Let j = b - -36. What is the derivative of -47*c**4 + c**3 - j + 0*c**3 - c**3 wrt c?\nAnswer: -188*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -1256*g + 1. Let i be l(3). Let s = -2536 - i. Suppose 3*o - s = 2399. Round o to the nearest 100.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -996*b + 21821 = -39931 for b.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence suq when three letters picked without replacement from kukkkkkuqukkkkksksk.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -49*r + 54*r - 42 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/2*(-136)\/(-12). Let o = p - -19. What is the remainder when o is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, l: 3, h: 9, t: 1}. Give prob of picking 1 l, 2 h, and 1 b.\nAnswer: 108\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + f + 6 = 0, -3*m - 411583*f + 411584*f + 10 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + g + 0*g)*(6*g**2 + 13 - 13) + (0*g - g + 3*g)*(-g + g + 2*g**2) + 2*g**3 + 0*g**3 + 0*g**3.\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -3 + 24 - (411 - 327).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1068 + 0.65. What is v rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 - 42. Let x = p - 10.6. Put 0, 0.04, x in increasing order.\nAnswer: 0, 0.04, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1481 + -817. What is the remainder when 1334 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*m + m = 110, 0 = -2*m + 10. Suppose -5*o = -3*o - l. What is the remainder when 119 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002424787 rounded to seven decimal places?\nAnswer: -0.0000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v - v**2 - 14*v**2 - 2 - 4*v**2 + 2*v to k*v**2 + r*v + x and give k.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -61*q**2 + 1521*q - 4554. Determine v(3).\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 7*b - 226. Let w be q(-5). What is w rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2952 and -13\/9012?\nAnswer: 2216952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Suppose -p = -2*p + 2. Let y(d) = 0*d**p + 0*d**2 + d**2 + 1 + 4*d. Determine y(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven fifths of a meter?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24 minus 4897295?\nAnswer: -4897294.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (111186\/6177)\/((-675)\/6)?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4}. Give prob of picking 3 j.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/3*b**2 - 73*b - 62\/3.\nAnswer: -(b + 31)*(7*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -405.\nAnswer: -404.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -3012 at most as big as -3008?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = -2*w + 16, 46*i = 6*w + 34*i - 42 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 5 - (-15 - -9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6159902 and 178486?\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2635 is divided by 120.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 9) to base 7.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3815, 6848, 9097, 10562, 11243?\nAnswer: 11140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 4:15 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11425 is divided by 381?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 + 18*c + 38. What is f(-17)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 739 + -983. Which is bigger: p or -240?\nAnswer: -240","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -181.345 - -195.345. Let i = 0.04 + 1.96. Which is the second smallest value? (a) i (b) w (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10\/4 - (-5236)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 11*g**2 - 10*g - 2. Let v be p(-10). Which is the third smallest value? (a) -1\/9 (b) v (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -27*f**2 - 37*f - 9. Let z(g) = -13*g**2 - 21*g - 5. Let h(j) = -4*i(j) + 7*z(j). Calculate h(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -750*l**3 + 256*l**3 + 508*l**3.\nAnswer: 14*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 1. Let y(s) = -1. Let f = -182 - -181. Determine f*d(m) + 3*y(m).\nAnswer: 2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7835 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567 is divided by 258?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*u + 136*u = -54. Let c = -33 + 31. Let h(q) = -q**2 - q - 8. Let t(y) = -2. Determine c*h(k) + u*t(k).\nAnswer: 2*k**2 + 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g. Let d(l) = 31*l - 12. Calculate d(a(t)).\nAnswer: -31*t - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/41 and -80\/57.\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -507?\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 38795537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 - 3)*(-7*i**3 + 4 - 4) + 2*i**3 - i**3 - 12*i**3 - 3*i**3 + i**3 + 3*i**3 to s*i**3 + k + l*i + p*i**2 and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nffnfufnfnfjnnfnn. What is prob of picking 1 f and 1 n?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74.23 + -7.13. Let b = -72 + l. Let i = b + 5. Is 0.2 < i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 44?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 13. Let v = z + 18. Calculate the least common multiple of v and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-7)\/((-14)\/(-6)). Which is the second biggest value? (a) r (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.2995917 from 0.011.\nAnswer: -8.2885917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -125 - 29514?\nAnswer: -29639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tr when two letters picked without replacement from {x: 3, r: 7, q: 1, p: 2, t: 5}.\nAnswer: 35\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -25 + 25. Solve k*f = 2*f + 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23953\/131681 + 1\/11971. Let n = 80 - 79.98. What is the third biggest value in -3, n, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/6*(-4 - 176\/(-42))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21054 (base 9) to base 8.\nAnswer: -33114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2378060, 2378037, 2377976, 2377859, 2377668, 2377385?\n\"Answer: -3*s**3 - s**2 + s + 2378063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38958 is divided by 63.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of s**3 + 2. Let m(k) = -6*k - 11. Let t(q) = 0 - 2 - 7*q + 9*q - 3*q. Let r(i) = -2*m(i) + 11*t(i). Determine r(f(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1717*v**2 + 4109*v**2 - 1824*v**2 in the form k + j*v + u*v**2 and give u.\nAnswer: 568","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 + -86. Solve -1 = c - r*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**3 + 7*h**2 - 3*h - 2. Let y be 0 - (0 - 3) - 20\/2. Let o(a) = -5*a**3 + 6*a**2 - 3*a - 2. Give y*o(z) + 6*v(z).\nAnswer: -z**3 + 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -2*i**4 - 106*i**3\/5 - 146*i**2\/5 - 14*i\/5 + 36\/5 = 0.\nAnswer: -9, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nppnpnnnnnnnpnnnnnn. What is prob of sequence nppp?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 4. Let x(a) = -2*a - 3. Let d(t) = -3*q(t) - 4*x(t). Suppose -7*y + 17 = 4*k - 4*y, -3*k = 5*y - 10. Let p(n) = -4 - k - 6*n + 9. Give p(d(r)).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5*f**2 - 14*f - 4. Let k(c) = -2*c**2 + 7*c + 2. Let a(t) = 3*h(t) + 7*k(t). Suppose -22 - 13 = 5*o. Let n be a(o). Solve 0 = n*v + 2*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -129 and -0.4.\nAnswer: -129.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 138348075*b**2*y + 194*b*y - 2*b - 1660 wrt b?\nAnswer: 276696150*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -0*h + 25. Let x(a) = a**2 - 5*a + 4. Let d be x(5). Suppose -150 = u - d*u. Solve -5*k + u = h*y, -3*y = -4*k - y + 10 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2091, 4177, 6261, 8343, 10423?\nAnswer: 12501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15.4163 + -14.507. What is d rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tq when two letters picked without replacement from qqtq?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**4 + 3989*b**3 - 807*b + 2?\nAnswer: -12*b**2 + 23934*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.85090455 to 2 dps.\nAnswer: -0.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 6. Suppose w*o = 5*u + 245, -103 = -o + 2*u - 6*u. Suppose -2*j = -7*j + o. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110 + 11010111010001110111?\nAnswer: 11010111010010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 98561 - -0.4.\nAnswer: 98561.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w**(-1\/5)*w))**20\/(w**(-3\/4)\/(w**2*w)))\/((w\/(w*w\/w**6))\/w*w**(-6)*w**2*w*w**(3\/4)*w) assuming w is positive.\nAnswer: w**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n - 40. Determine b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/8, -1\/3, -2\/1413, 1\/2, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (27 - (0 - -1)) + (-43 - -67) + -27?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -7*z**3\/3 - 12*z. Let y(j) = -2*j**2. Calculate t(y(v)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 27*b**2 - 7*b - b + 44*b**2 + 5*b + 6*b as y*b**2 + d*b + n and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -11e3 (base 15) to base 16\nAnswer: -ee5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 6*v**2 + 28*v - 17. What is i(3)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108 (base 11) to base 7.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -81\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t - 33. Let n(z) = -4*z + 16. Let k(q) = 3*a(q) + 7*n(q). Let y be k(9). Suppose y = -0*h + 4*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 4*p**3 + 3*p**2 - 153*p + 20. Let f(j) = 3*j**3 + 2*j**2 - 152*j + 21. Calculate -3*f(k) + 2*m(k).\nAnswer: -k**3 + 150*k - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -5*u**2 - 50*u. Let b be j(-10). Let a(z) be the first derivative of -1\/4*z**3 + b*z - 3\/8*z**2 + 9\/8*z**4 - 1. Factor a(o).\nAnswer: 3*o*(2*o - 1)*(3*o + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**3 + 51*f**2 + 200*f + 14173. Calculate d(-52).\nAnswer: 1069","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 10439556.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let h(w) be the second derivative of w**3\/2 - 10*w. Determine n(h(i)).\nAnswer: -6*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 7 = -3*b + 12, -2*r + 13 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - 0.3. Let w = 0.0666 + 273.9334. Let k = w + -266. What is the second smallest value in v, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206 + 55 = 29*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -58166, -55964, -53762, -51560?\nAnswer: -49358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8 + (-16 - -8))*1. Solve z*f + 3*f + 7 = g, -g - 9 = 5*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**2 + 7*f + 2. What is the remainder when (-1 - -2)\/((-2)\/(-72)) is divided by r(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -4989?\nAnswer: -4988.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*y**3 + y**5 + 11*y**3 + (y**2 + 0*y + 0*y)*(-4*y + 2*y - y)*(6*y**2 + 6 - 6).\nAnswer: -17*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**5\/5 - g - 20. Give p(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40770 less than 0.237238?\nAnswer: -40769.762762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/(-6))\/((-16)\/(-72)). Let f = 0 + -2. Put 2, v, f in increasing order.\nAnswer: f, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 - 16*g**3 - 5*g**3.\nAnswer: -13*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t - 4*w = -4*t - 3452, -w = t - 1730. What is the hundreds digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9120 and -17.\nAnswer: -155040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1170, 4722, 10642, 18930, 29586, 42610, 58002?\nAnswer: 75762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1361413.\nAnswer: 149, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 14*l + 9. What is s(-10)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 51433 - 3?\nAnswer: 51430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1550 divide 14504900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 109943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1079*f**3 - 6*f + 2. Let j(o) = 6473*o**3 - o**2 + 39*o - 13. Determine 2*j(b) + 13*s(b).\nAnswer: -1081*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9*s**2 + 42*s + 17. Let g be r(-7). What is the greatest common factor of 205 and g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 11:04 PM?\nAnswer: 2:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 4*d + 9. Is (-77)\/d + (-6)\/24 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63\/2 - -31. Which is the nearest to 0.3? (a) 4 (b) i (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 24 = 2*v. Let x = 99 + v. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 52.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/12 - -3 - (-8)\/3. Let n = 126 + -114. Solve 0 = h + o*h - n for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 390 and 192810.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 275, 567, 3 in increasing order.\nAnswer: -2, 1, 3, 275, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15395 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 722691 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*s - s - 4*s)*(s**4 - 2*s**4 + 2*s**4) - 4*s**5 + 4*s**5 - s**5 + 3*s**4 - 2*s**5 - 3*s**4 + s**3 - s**3 + 13*s**5 + 4*s**4 - 4*s**4 - 2*s**5.\nAnswer: 10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -3*k - 1 - 1, 3*k + 4 = -5*p. Let o(v) = 2 - 4 + 2*v + k. Let m(l) = 4*l**2. Determine o(m(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4 = -2*z, -7*o + 2*o = -5*z. Suppose -3*c + 5*p + 75 = 4*p, o*c - 54 = 2*p. List the prime factors of 576\/10 - c\/(-60).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*m - 28*a + 31*a, 4 = 3*m - 4*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -12. Suppose -2*u + o = -0*u. Suppose -5*h + 2 = -u. Solve -k - h = 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 29640*g - 1689486. Determine m(57).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1231)\/4)\/(2\/48*-2). What is the derivative of -3693*c**2 - 19 + 3*c**3 + g*c**2 wrt c?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0170850329 to four decimal places.\nAnswer: -0.0171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 9, -24, -75, -150, -255, -396?\n\"Answer: -c**3 - 3*c**2 - 17*c + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/11, -0.3, 9.6122?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 42996000 to the nearest one million.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -39. Which is the closest to -1? (a) 1\/7 (b) 1\/2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5325.208 less than -4.15?\nAnswer: 5321.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*(-136)\/170?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -28.9973. What is a rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 1012310031?\nAnswer: 1012310030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**8\/560 + 2*y**7\/175 - y**6\/200 - 7*y**5\/50 + y**4\/2 - 4*y**3\/5 - 217*y**2 - 2*y. Determine t so that x(t) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -6.3. Let j = -44743\/128245 + 1\/5919. Let t = -1\/65 - j. Which is the second smallest value? (a) 4\/3 (b) t (c) -0.5 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(234) - sqrt(234))\/sqrt(2).\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.81463 litres in millilitres?\nAnswer: 814.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*i + 1037 = 35*i. Suppose -12*v = -i - 71. Is 17 >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8739.494 centuries in decades?\nAnswer: 87394.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 137 = 5. Let g = 71 + p. Solve 0 = -3*t - g*l + l + 12, 5*l + 12 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -66 and 4.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-40)*0)\/(3*4\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5426 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-9 + -22 - 3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -2048.\nAnswer: 4096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(68) - (sqrt(68) + 0)) + sqrt(68) - (sqrt(17) - (-1 + 1 + sqrt(17))) - (-2 + sqrt(119)\/(sqrt(7)*2))) + -4)**2.\nAnswer: -6*sqrt(17) + 169\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6112982?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z + 7. Let a be g(-4). Suppose -3 = -a*q + 249. Find the third derivative of q - 84 + 15*n**4 - 13*n**2 + 5*n**2 wrt n.\nAnswer: 360*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 999 by -4.\nAnswer: -999\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -43*q**2*y**2 + 5*q**2*y - 4*q*y**3 + 6*y wrt y.\nAnswer: -86*q**2 - 24*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 2, a: 4}. Give prob of sequence hha.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1.233 + -9.4758034\nAnswer: -10.7088034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*m + 4*i + 8, 4*i = -m + 11. Solve m + 2 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 5*u - 22. What is t(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -4*i + 12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeeezeeeee.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/112 + 2\/(-7). Let w = 54.2 + -54. What is the biggest value in f, -0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5109.\nAnswer: 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -3*u + 32, -2*u = c + 3*c. What is the remainder when 14 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4808090983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104434.\nAnswer: 2, 552217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58ac33 (base 13) to base 10.\nAnswer: 2108993","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Suppose -o + m*o = 12. Does 6 divide (-32)\/(-6) + 2\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (69\/(-25))\/3 - -1. Suppose -3*w - 4 = j, 2*w - 1 = j - 2. Is w equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474084?\nAnswer: 2, 3, 13, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 74*v - 31*v - 48*v + 14, 0 = -5*v + b - 44 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - 9. Let g be (-5)\/(j\/(-2))*-6. Suppose 0 = -222*f + 242*f - 220*f + 1861 - 461. Solve -g*l - f = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89700 is divided by 271.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5155 and -0.27604.\nAnswer: 1422.9862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 11:12 AM?\nAnswer: 10:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -290000 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, c: 2}. Give prob of picking 3 y and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do 1051\/22 and -2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*q**2 + 7*q**2 - 2*q**3 + 2*q - 14*q**2 to the form o*q + p + a*q**2 + s*q**3 and give a.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46? (a) -0.658 (b) 4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 4. Let m(j) = -3*j**3 + 12. What is 8*k(l) + 3*m(l)?\nAnswer: -l**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r - 64. Let j be y(17). Suppose 2*v = s - 3, -j*s + 5*v - 5 = s. Sort 93, s, -3.\nAnswer: s, -3, 93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 16, i: 4}. What is prob of sequence iyiy?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64544.54 millennia to years.\nAnswer: 64544540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229166*q**3 - 1185322*q**3 - 397295*q**3 - q.\nAnswer: -1353451*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - u + 47. Let f be m(-5). Solve f*w + 10 = -0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a microsecond in nanoseconds?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.24 * -396\nAnswer: -95.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5889*g**2 - 15110*g**2 - 8743*g**2 + 5259*g**2 to f*g + t + l*g**2 and give l.\nAnswer: -24483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10923407?\nAnswer: 11, 993037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -1 + 5. Solve b = -w, -b = u*b + w - 10 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3 + 3 - 2 - 2 + 5*t + t**2. Suppose 0 = 3*s + s, o + s + 4 = 0. Calculate b(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -7. Let i = k - 0. Let z(w) = 3*w - 1. Let p be z(-1). What is the smallest value in i, 3\/7, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 8:25 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 26 + 18. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41831*s + 10 - 44615*s - 9 to p*s + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 389.592 and 49.\nAnswer: 438.592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 61 = -2*w - w, -3*w = -a + 29. Suppose 4*o - a + 60 = 0. Let h(x) = -x**3 - 7*x**2 + 3*x + 3. Calculate h(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2*h**3 - 4*h**3 - 93 + 15.\nAnswer: -2*h**3 - 81","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 - 21420120002?\nAnswer: -21420120001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/72)\/(19\/(-76))*-12*(-5)\/(-15)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 22*j**3 - 2*j + 1. Let z be u(1). Let o be z\/(-2)*5200\/6. What is o rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 7530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204062?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**42\/((a*a**(-3))\/a)**(-27) assuming a is positive.\nAnswer: a**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.16*-0.1406\nAnswer: 0.022496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -1 + (-1 - -1) - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/14 and (-10)\/60 - 226\/24.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = 10. Let s(c) = -2*c**2 + 6*c + 1. Let i be s(g). Is 3 a factor of i\/(-4) + (-9)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r - 13. Let f be s(-11). What is the second derivative of -153*z**3 - 64*z + 8*z - f*z**2 + 154*z**3 wrt z?\nAnswer: 6*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 5. Suppose 3*l = -5*r + 60544 + 19941, 0 = -b*l - 10. Round r to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5750 divided by -2\nAnswer: 2875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-1 + 1)\/(-2))\/((-4)\/(-2))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 8*c**3 - 2 - 9*c**3 - 5*c - 2*c - 5 - 6*c**2. Let g be b(-5). Suppose 193 = -g*x + 4*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 11:47 PM?\nAnswer: 2:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t - 2150 + 6098. What is the highest common factor of 49 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 7425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22975429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l**2 - l. Give q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1) + -31 - 0. Let r(x) = -2*x**3 - 51*x**2 + 17*x + 2104. Let s be r(-24). Which is greater: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 14*l**2 - 2*l + 25. Let z be c(14). Let y be (6 + 0)*1 + z. Solve 0*r = y*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -135008 and 15773.\nAnswer: -119235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otntoonooqnoooqto. Give prob of picking 2 n and 1 t.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9*y - 208. Is 5 a factor of k(46)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59502532 >= 59502533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) - (2*sqrt(90) + sqrt(90))\/sqrt(5))*-4.\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1748 + -1756.23. Round s to one dp.\nAnswer: -8.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-6)\/p)\/(p*p**(-1\/3)\/p*p))**19*p**(-4\/3)\/p*p*p*p**(2\/3)*(p**(-1))**37 assuming p is positive.\nAnswer: p**(-490\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 - 12*w + 15. Let p be z(10). Let n(i) = i**2 + i - 10. What is the units digit of n(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3410?\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -365a6a (base 15) to base 11\nAnswer: -1517277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/(-4))\/(-11))\/(16\/(-64)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7940 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17057*f = 17124*f. Let k = 65 - 14. Suppose -k = r + 2*r. Which is the smallest value? (a) 0.2 (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -155, -39, 75, 187, 297, 405, 511?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 13 = f, 4*d = -d - 20. Suppose -2*y + 319 = 3*r, 4*r = -4*y + 2*y + 318. Let u = y - 155. Solve -5*v = f - u for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 + 603\/11. Let x = -810 - -807. Is c smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -33*v + 4. Let b(j) = 17*j - 2. Determine -11*b(x) - 6*z(x).\nAnswer: 11*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 6. Let z be s(-4). Let v(i) = 5 - z*i + 3*i - 4. Let h(d) = -d. Let g(m) = -2*h(m) + v(m). Differentiate g(l) with respect to l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5518*k**2 + 17967*k**2 + 13630*k**2)*(3 + 0 - 2).\nAnswer: 26079*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 64 + -44. Let l be 292\/t - (-2)\/5. Solve 2*k = -0*k - f + 2, l = -3*k + 3*f for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -73c?\nAnswer: -71a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:35 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 5*x + 2*x)*(0 + 0 - 1)*(-3 + 1 + 3)*(0*x**4 + 0*x**4 - 3*x**4 - 2*x**4 + x**2 - x**2 + (5 - 4 + 0)*(-31*x**4 + 35*x**3 - 35*x**3)).\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 40 = 6*k. Let q be (k\/(-6))\/(2\/6). Suppose -2*f = -5*f - 12. Sort q, 5, f in descending order.\nAnswer: 5, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 111, 122, 145, 186, 251, 346?\n\"Answer: p**3 + 4*p + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 37114*s**2. Let a(n) = -161*n. Determine a(w(c)).\nAnswer: -5975354*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59763980?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -97. Let h(s) = 6513*s + 6814. Let d(j) = -h(j) + 6*k(j). Find the first derivative of d(p) wrt p.\nAnswer: -6513","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - -6*-1*sqrt(33))\/(sqrt(11) + sqrt(11) + sqrt(11)*-1*-3 - sqrt(11)))**2.\nAnswer: 75\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60166416929\/23125 - 2601791. Find the common denominator of 51\/10 and i.\nAnswer: 46250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/56 and -55\/19744?\nAnswer: 138208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.6 - 0.6. Let r = n + 1.2. Let x = 5 + r. Put 3, -5, x in ascending order.\nAnswer: -5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 4 = -c - 1, -2*j = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281477336?\nAnswer: 2, 7, 5026381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 49356?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20160363 (base 8) to base 11\nAnswer: -2444566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.6 - 0.1. Let t = f + 0.5. Let j be (4\/10 + 0)\/(-2). Which is the closest to 0.1? (a) -0.4 (b) j (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -3*g**3 + 3*g**3 - g**3. Let d be (-1)\/3 - 8\/12. What is the remainder when 1 is divided by v(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34907090 to the nearest integer?\nAnswer: 5908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in thirteen fifths of a minute?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4576 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/2249, -1\/9, -2\/3, -3\/5, 4\/5 in decreasing order.\nAnswer: 4\/5, -5\/2249, -1\/9, -3\/5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 22 + 9)*(-i - i + 4*i).\nAnswer: 96*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69 - -136. Does 9 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 456795 or 456826?\nAnswer: 456826","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 928093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -f - 5*q + 3, 0 = 3*f + q + 21. Let x be (-1 + 4 + f)*8. Let b be ((-3)\/(-2))\/(x\/(-32)). Sort 10, b, 0 in descending order.\nAnswer: 10, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let j = y + 0. Let k(q) = 7*q**3 - q + 0*q**j + 0*q + 0*q**2. Give k(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i - 6. Let a be o(-5). Let r(f) = -f**3 + 5*f**2 - 5*f + 6. Determine r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f**4 + 114087807*f**3*u**2 - 479675*u**2 + 2*u + 246 wrt f.\nAnswer: -4*f**3 + 342263421*f**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -20*i**2 + 7*i**2 - 4 - 6*i + 6*i**3 + 10*i**2 + 4*i**2 + 12*i**2. Let o(h) = -5*h**3 - 14*h**2 + 5*h + 3. Calculate 3*c(k) + 4*o(k).\nAnswer: -2*k**3 - 17*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j**3 + 3*j**3 - 14*j**3.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-12) - 15\/(-4). Let s(f) = f**2 + 2*f - 2. Let j be s(u). Suppose z - 29 - j = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7576.261 millilitres?\nAnswer: 7.576261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 304 = -2*t, 4*c - 1355 + 139 = -5*t. Are 306 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 + 2*m + 1. Let q(d) = -10*d**3 - 8*d**2 - 8*d - 2. What is -q(x) - 3*s(x)?\nAnswer: 10*x**3 - 4*x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(13\/2)\/(z*z\/(z\/(z\/(z*z**(-1\/11))*z))*z))\/(z**(-2\/33)*z**(4\/7)) assuming z is positive.\nAnswer: z**(1339\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(1911) - (-1*sqrt(1911) - sqrt(1911))*-5) + sqrt(1911) + sqrt(1911)))\/((sqrt(168)\/(sqrt(16)\/sqrt(2)))\/(1*sqrt(7)*-2 + sqrt(7))).\nAnswer: 98*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((2*sqrt(125))\/sqrt(5))\/sqrt(5) - (4*sqrt(45) - -4*sqrt(80)))**2.\nAnswer: 3381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of s**5\/2 - 23*s**4\/36 + s**3\/9 - 2*s + 26. Let h(x) = 0. What is x?\nAnswer: 0, 1\/10, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 4 + 8*n**2 - 2 - 2. Let r be (2\/(-2) + -3)*108\/144. Let d(i) = -3*i**2 + 3. Determine r*w(g) - 8*d(g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 7*s**2 + s + 10. Let q = -16 + 9. Let v be d(q). Let u be v\/((-15)\/2)*-1. Which is smaller: 0.2 or u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 206 and 512386478?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 273427951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 29\/2 of a millimeter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2363351.\nAnswer: 557, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) - (-1*sqrt(114) - sqrt(114))*4)\/(sqrt(6) - -2*sqrt(600)).\nAnswer: 3*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/11 - 1882*w**2\/11 - 1884*w\/11.\nAnswer: 2*w*(w - 942)*(w + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 5*b + 1 = 0, 18*z + 4*b - 14 = 19*z. Calculate the highest common divisor of z and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*n - 84*n - 2*q = -176*n - 43, -n + 2*q = -0*n + q + 16 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 585.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 0.45729575?\nAnswer: -5.45729575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10647.80262s in weeks?\nAnswer: 0.01760549375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 1489*k**3 - 14*k**2 - 10*k - 1132. Let j(u) = 992*u**3 - 10*u**2 - 7*u - 755. Let z(q) = 7*j(q) - 5*y(q). What is the derivative of z(f) wrt f?\nAnswer: -1503*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 17*n - 3. Let c be -34*((-4)\/10 - (-171)\/190). Determine x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61893, -61895, -61897, -61899, -61901, -61903?\nAnswer: -61905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8*f + 6*f = 41, -p = -4*f - 19. What is the tens digit of 9 - p - (-554 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3216185, -3216173, -3216161, -3216149?\nAnswer: -3216137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -502 - -503. Let l be (z + -8)*3*(-4)\/6. Let p = -7 + 35. What is the greatest common divisor of l and p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -3*y + 99, -1 = -j - 3*y - 10. Let l = j - -27. Calculate the remainder when ((-52)\/6)\/(26\/(-78)) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.02 + -0.08. Which is the biggest value? (a) 2 (b) 1\/4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237795622 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, 0.3, 1, 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*f = 3*f - 1030, 3*n + 3*f - 3102 = 0. Are 1033 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.31428 decades to years.\nAnswer: 693.1428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**3 - 2*d**2 + d - 5. Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = -6*y + 27*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - -57444197?\nAnswer: 5744419a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1226011 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/17*v**4 + 0 - 10\/17*v**2 + 2\/17*v + 14\/17*v**3.\nAnswer: -2*v*(v - 1)**2*(3*v - 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*x - 29231 = 8869. What are the prime factors of x?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1 - 2)*6*-15.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11862?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-135)\/36)\/((-6)\/8)*2. Is 3 a factor of q*(3 + (-16)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) + 0)*-2 + (-1*(sqrt(468) + 1) - sqrt(468)) + sqrt(468) + (sqrt(468) - (sqrt(468) + 1))*5 + 2*sqrt(468)*-3)**2.\nAnswer: 648*sqrt(13) + 37944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79 = 4*c + 225. Let j = c + 379\/5. Let i = -8 + 6. Put i, -3, j in ascending order.\nAnswer: -3, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(140) - (sqrt(140) + (sqrt(140)*-4 - sqrt(140))))\/sqrt(7))**2 - (-5 + (sqrt(180) - (sqrt(180) - -3*(sqrt(180)*1)**2))).\nAnswer: -60*sqrt(5) + 1054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4547, 8004, 11461, 14918, 18375?\n\"Answer: 3457*s + 1090","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -38\/3 (b) 0.04 (c) -5 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15490067 to the nearest integer?\nAnswer: 3936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + -2 - 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3275671, -13102664, -29480983, -52410628?\n\"Answer: -3275663*a**2 - 4*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(4 - 3 + 4)*(2 - 1 - 2)*(-1117*g + 1127*g + 299 + 246).\nAnswer: -100*g - 5450","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -30 at most -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.62857 + 376.\nAnswer: 377.62857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 6*j**2 + 8*j + 2. Let u be 6\/4*4 + (-1 - -2). Give f(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67986 to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r - 2*r - r)*(3 - 1 - 4) - r - 6*r - r + (-3 + 5 - 4)*(-r - 2*r + 2*r) in the form n + v*r and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 481.1 + -486. Round p to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 5:59 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 282308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -89, 1, -3, -12 in decreasing order.\nAnswer: 1, -3, -12, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 16 = 14*a - 12*a, 0 = 5*a + 3*v + 23 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-604)\/(-3480) + (-3)\/18. Which is the biggest value? (a) 5 (b) 2\/5 (c) 3\/4 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8736 + -8736.08587. Round d to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27948198 by -3.\nAnswer: -9316066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert d913 (base 16) to base 14.\nAnswer: 16375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 - 0.0611.\nAnswer: -0.1511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -3*z - 4*i - 10, -2*z = 3*i - 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -19, -1 in decreasing order.\nAnswer: 0, -1, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 19, 59, 135, 259, 443?\n\"Answer: 2*a**3 + 2*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 5:01 PM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 - 5 = 0. Let g(m) = 4*m - 3 + 0*m - u*m - 2. Determine g(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1565 + 3?\nAnswer: -1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.030728 centuries to years.\nAnswer: 303.0728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*q**4 + 193*q**4 + 32*q**4 + (q + 0*q + 2*q)*(2*q**3 + 5*q**3 - 6*q**3) - 3*q**3 + 3*q**3 + 2*q**4.\nAnswer: 211*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 - 514\/7. Is s smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288405.\nAnswer: 3, 5, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (132\/231)\/(20\/14)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 8 = -3*t + 3, t + 13158 + 13162 = -4*y + 26329 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7771 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 2*r - 20 = 0, 2*r - 20 + 6 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1629 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1140 and 3990.\nAnswer: 7980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 18*z + 3. Let f be g(-7). Let s = 11 - f. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.3757 weeks in hours?\nAnswer: 3591.1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 28 = -4. Differentiate -116 - 19*b**d - 111 + 215 with respect to b.\nAnswer: -57*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2368 or -19.63?\nAnswer: 3\/2368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6.66856 and -1.6?\nAnswer: 8.26856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.45065\nAnswer: 0.045065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*k + 218, -2*k + 6*k = 3*o - 329. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 422\/8 - 2\/(-8). Suppose 7 = -4*c - w + 71, -g = -3*c - 2*w. Suppose -21 = -2*q + c. Solve q = 4*h - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q - 17. Let o be t(15). Let k(r) = 4*r**2 + 2*r + 2. Calculate k(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2 + 1 - -1. Solve -2*y - 3 + 4 = -o, 0 = 3*o + w*y - 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 248368.2us in nanoseconds?\nAnswer: 248368200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (-1911)\/143)*-7*(-55)\/(-35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 2 = -3*h, 163*h - 167*h + 6*r - 6 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-411)\/1370 + 43\/160. Which is greater: 44 or h?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2885 divided by -5.\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10022 + 10021. Let u(j) = j + 1. Let v(d) = 3*d**2 + 8*d + 12. Determine h*v(l) + 6*u(l).\nAnswer: -3*l**2 - 2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 18*f**3\/5 + 65697*f**2\/5 + 840108*f\/5 - 141843\/5 = 0?\nAnswer: -3637, -13, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56950092 to the nearest integer?\nAnswer: 7547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {p: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -11. Let p(t) be the first derivative of -3*t + 2*t - 3*t**3 + 1 + m*t**3 + 3*t. What is the first derivative of p(x) wrt x?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - (1 + 3)) + (-5 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 27b?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 360 and 121092000.\nAnswer: 363276000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -74\/1143 and 45\/7162673.\nAnswer: 64464057","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -17325808 divided by 178\nAnswer: -97336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 291a?\nAnswer: -291c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -35038? (a) 1\/3 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/60 - 23*i**4\/24 + i**3\/6 + 14957*i**2. Let b(r) = 11*r. What is -5*b(q) - 2*v(q)?\nAnswer: -2*q**2 - 9*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.18 and 1.1014.\nAnswer: 1.2814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 774 and 466704?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24406\/12 + 1\/(-3). Let o = q + -2076. Calculate the common denominator of 0 - (-2)\/(44\/(-25)) and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6291046nm to millimeters.\nAnswer: 0.0000006291046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -c1b2 (base 14) to base 5\nAnswer: -2031110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 1)*(5\/(-1) - -4). Suppose z = -5*c - 15 - 5, 5*y = 5*c - 5. Suppose 0 = -5*u - 5, -2*u - 11 = -2*p + u. Put 3, y, p in increasing order.\nAnswer: y, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(3) + (5 + 1*sqrt(3))**2 + sqrt(3) + (sqrt(15)\/(sqrt(5) - sqrt(20)))**2.\nAnswer: 13*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 63768554?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 6*a - 7*a. Suppose -x + 4*j = -8, -x = 3*x + 2*j + a. Factor 0 + 4\/7*t**2 + x*t - 6\/7*t**3.\nAnswer: -2*t**2*(3*t - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65088672.\nAnswer: 2, 3, 11, 61637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232 (base 4) to base 13.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(77)*-5)\/(sqrt(7) + sqrt(112)*5 - sqrt(7)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*n**2 + 21*n**2 + 30*n**2 + 35*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4061 * -25507.\nAnswer: 103583927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3722571 divided by -23\nAnswer: -3722571\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16151 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 oofdotoofdootfoodf. What is prob of sequence dfdt?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p + 225. Calculate q(-14).\nAnswer: 267","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -626\/1169 - 6\/167. Put 2\/7, n, -3\/2, 2 in increasing order.\nAnswer: -3\/2, n, 2\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -885 - -884.98475. Round z to three decimal places.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -4*h - 7, 4*h - 6 = -2*v - 12. Let u = 4 - 2. Which is smaller: u or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -752*c + 363*c + 377*c.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 9. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2701\/5 + 14\/5 + -3. Suppose 17*i - 12*i - m = 0. Is i a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*s - 49*s - 27*s - s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 1, k: 1, p: 1, v: 2, s: 1}. Give prob of picking 2 v, 1 l, and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 198\/12 + (-1)\/2. Let y = -24 + z. Is y\/20 + (-397)\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15625, -36900, -58177, -79456?\nAnswer: -100737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2508)\/66 + (28 - -7) + -15?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 68 = 7*x. What is the second derivative of -6*b**4 - 24*b + 3*b**2 - 3*b**x - 2*b**3 - 16*b wrt b?\nAnswer: -72*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/329676 and -127\/6972?\nAnswer: 2307732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of i**6\/120 + 19*i**5\/60 + 8*i**4\/3 + 10*i**3 - 90*i**2. Factor k(l).\nAnswer: (l + 2)**2*(l + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545277.3km to micrometers.\nAnswer: 545277300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n + 5 = 20*n + f, -4*f + 10 = -n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107426.5ml in litres?\nAnswer: 107.4265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, e: 6, k: 2}. What is prob of picking 1 k and 1 f?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 166\/41 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 + 0.09. Let w = -6.98 + o. Let f = 66 - 62. Which is the closest to 0.1? (a) w (b) f (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1993386751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04 + -7608.2548512.\nAnswer: -7608.2148512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + 2*s**2 + 4*s**2 + 5*s**2 + 4*s**2 + 2*s**3.\nAnswer: 2*s**3 + 12*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*n - 26, 0 = 1012*h - 1011*h + 2*n - 9 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, 0.5, 3\/8, -4 in descending order.\nAnswer: 0.5, 3\/8, -4\/15, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10822 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-36 + 16) - (-8 - -1). Solve 36 = -7*j + c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -181, 7, -2, 1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i + 4*l - 28, 2*i - 83060*l + 83058*l = 6 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:26 AM and 5:14 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, 52, 1, -170?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-9)*42\/(-14)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38607 (base 9) to base 13.\nAnswer: -bab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 202\/55 + -36\/11. Which is the smallest value? (a) -0.1 (b) l (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 - 6*u + 4. Let h be f(8). Suppose 19 - h = -a. Suppose -a = 4*l - 1. Solve -2 + l = n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18779506 or -18779501?\nAnswer: -18779506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by 470.\nAnswer: 7\/470","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1609826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -21, 3, 4\/3, 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 200, 87, 0.1, -3, 4, 2\/3 in decreasing order.\nAnswer: 200, 87, 4, 2\/3, 0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-160)\/(-5) - (-2)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 - 4*a**2 + 4*a**2)*(2*a**2 + 5 - 5)*(4 - 3 + 2).\nAnswer: -12*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 615290?\nAnswer: 2, 5, 13, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*b + 2*x, -5*b + 3*x - 21 = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, v: 3, o: 6, z: 3}. Give prob of picking 2 z.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-11 - 108\/45) + 14. Let r = 4 + -6. What is the second smallest value in r, -0.1, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013594109?\nAnswer: 3, 11, 29, 1059137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cpc when three letters picked without replacement from {p: 1, c: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9}. Give prob of picking 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6113 is divided by 4320?\nAnswer: 1793","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 418 and 31690?\nAnswer: 6623210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -374 * -66.5\nAnswer: 24871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 14*a**3 - 8*a**2 - 28*a - 6. Let m(j) = -17*j**3 + 7*j**2 + 29*j + 5. Let b(f) = 5*m(f) + 6*r(f). Factor b(d).\nAnswer: -(d + 1)**2*(d + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 270 and 2?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 1) + 1 - (-9 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*t + 4*t**2 - 5*t**2 - 19*t - 14*t - 3*t**3 - 3*t**4 - 12 as d + u*t**2 + k*t**3 + o*t**4 + j*t and give d.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express h - 4*h**2 + 7883*h**3 - h**2 - 7590*h**3 - 4 + 3 in the form y*h**2 + r*h + x + n*h**3 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 y when three letters picked without replacement from {y: 3, i: 3, v: 13}.\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/4 (b) -4 (c) 4\/3 (d) 152\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -95576, -2, -11 in increasing order.\nAnswer: -95576, -11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 3*x + 8. Let n = 1 - -1. What is the lowest common multiple of n and d(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1306, -1383, -1456, -1525, -1590, -1651, -1708?\n\"Answer: 2*b**2 - 83*b - 1225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12*v = -27. Calculate the remainder when 13 is divided by -3 + 3 - 2 - (-2 + v).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37.3 + 5.3. Let u = l - -32.046. Let n = u + -0.045958. 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 five eighths of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/((-240)\/(-209)) + (-30)\/90. Let n = r + 11\/5. What is the common denominator of (-381)\/110 - (-6)\/(-15) and n?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 - 4*v + 4. Let p be s(-4). Let c be 4 - (-1 - 0\/(-3)). Factor -q**c - 8*q**2 + q**5 + p*q**5 - 12*q**3.\nAnswer: 4*q**2*(q - 2)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -1\/3 (c) 3\/7 (d) 5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56348, 112699, 169050, 225401, 281752, 338103?\nAnswer: 394454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*a + 4, 2*c - a + 10 = 5*c. Suppose 2*g - 2 - c = 0. What is the lowest common multiple of g and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -6*m. Let i(f) be the second derivative of -5*f**4\/12 - 46*f + 2. Give i(p(n)).\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) + 2*sqrt(784) + sqrt(160)\/(sqrt(30)\/sqrt(3)))\/(-3*-2*sqrt(1152)*-5)*-6.\nAnswer: 11*sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -9 - (45 + -41) - (-7 + -1)) + 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -135108 divided by -24?\nAnswer: 11259\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -578*f**4\/5 - 8534*f**3\/5 - 5836*f**2 + 7224*f\/5 - 432\/5 = 0.\nAnswer: -9, -6, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 2826.2154 and 0.3.\nAnswer: 2826.5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 2*s + 31796, -7*s - 4 = 38. What is w rounded to the nearest 100?\nAnswer: 15900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.3 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7935.726kg in grams?\nAnswer: 7935726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 695*f + 224. What is the tens digit of r(24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-184)\/690*(21 + 0)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 716531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sss when three letters picked without replacement from {p: 9, k: 3, s: 3, r: 1, x: 2}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -5789?\nAnswer: 8\/5789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnpninqzzzbnznppb. What is prob of sequence qizn?\nAnswer: 1\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -1978\/18437 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -29 and -79961.\nAnswer: -79990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/21 and 59\/4984.\nAnswer: 14952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 943099760?\nAnswer: 2, 5, 11788747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/3*60*-3. Suppose -g = -2*h - h. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -605 + 852. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 5*u - 6. Let p be (-24)\/28 + 116\/(-28). Determine r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4134407*v - 4575 = -4134590*v for v.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, t: 1, m: 2, u: 6, j: 1, e: 4}. Give prob of picking 1 e and 1 t.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + (-277)\/(-7) - 39\/(-91) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -175608, -175598, -175582, -175560, -175532?\nAnswer: -175498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8, -36, -82, -146?\n\"Answer: -9*i**2 - i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 0*w + 1\/5*w**5 + 0*w**3 + 7*w**2 + 0*w**4 - 5. Find the second derivative of o(y) wrt y.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 - (37 + 61 - 235).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 = 3*g - 11, 0 = -2*l - 2*g + 14. Suppose -5*z - 9 = 5*b + 16, l*z + 10 = 5*b. Let w = 13 - z. What is the remainder when 86 is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**11\/258720 + t**10\/176400 - t**5\/6 - 2*t**2. Let j(k) be the third derivative of s(k). Let j(f) = 0. What is f?\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -1. Let c be (12\/f)\/(3\/(-20)). Suppose -16 = -2*m + c. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 13. Let p be o(-12). Let z(y) = -9*y**3 + 2*y**2 - 1. Determine z(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 19*v + 98. Let c be y(-5). Solve -c*u + 24 = u + 4*w, 12 = 3*w for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**8\/56 - 283*a**6\/6 - a**5\/20 + 19*a**4\/12 + 59*a**2 + 278*a + 2. What is the third derivative of o(s) wrt s?\nAnswer: -120*s**3 - 33960*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -0.5 (c) 0.2 (d) -22 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71\/4 - 18. Calculate the common denominator of (-1)\/(-2)*-51 + (-18 - -16) and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 56, 109, 174, 245, 316?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.89554 weeks in seconds?\nAnswer: 20500022.592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 312. Suppose 8*h + x = 9*h. What is the remainder when h is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + q + 2 - 7, -25 = -3*i - 5*q. What is g in 1\/2*g - 1\/2*g**3 + 0*g**2 + i = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5733 - 5503. Suppose -4*u + 2*u + 4*r = -74, -u + 45 = -4*r. What is the remainder when f is divided by u?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**3 - 2*c**2 + 3*c - 1. What is the remainder when m(2) is divided by 24\/(-9)*21\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.88 - 0.08. Let w = -0.8 + y. Let v = 0.2 - w. Which is the nearest to 0.1? (a) 2\/9 (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 17 = 2*u, 5*m = 9*u - 7*u - 23 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 + 23*r + 18. Calculate c(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 13*f**2 - 12*f - 1. Let k be -1 - (-2 - 39\/(-3)). Let s be g(k). What is the tens digit of -15 - -13 - 32\/s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -208*d**2 + 6473*d**2 + 4756*d**2 to x + p*d + g*d**2 and give g.\nAnswer: 11021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-117*v**4 + 4131*v**5 + v**2 + 91*v**4 - 3958*v**5).\nAnswer: 346*v**5 - 52*v**4 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 256*p**2 + 2304*p - 1. Determine m(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 144856?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5*o**2. Let r(b) be the third derivative of b**4\/8 + 9*b**2. Calculate g(r(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 PM and 6:49 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + v = -70, 7 + 9 = 4*v. Suppose -5*o = -z - 43 + 6, 2*z + 3*o + q = 0. Let p = 45 + z. Is 8 equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 602.53km to millimeters.\nAnswer: 602530000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 56571013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 4*r - 15 = -5*r for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 7*k**2 - 168*k - 35. Let g(l) = 20*l**2 - 480*l - 103. Let h(u) = 6*g(u) - 17*s(u). What is h(24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**5\/11 + 2196*t**4\/11 + 13066*t**3\/11 - 41544*t**2\/11 - 52416*t\/11 = 0. Calculate t.\nAnswer: -1092, -8, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 339 = -13*k + 1314. Is (k\/50)\/((-1)\/(-6646)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3\/8, -4, 20, 1592.\nAnswer: -4, -3\/8, 0, 20, 1592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.549 - -0.381. Let a = -16 + r. Let b = a - 0.13. Sort 1, 2\/9, b in decreasing order.\nAnswer: 1, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34389, 67675, 100967, 134265, 167569, 200879, 234195?\nAnswer: 267517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1218171748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/(-65)*310\/(-6) and 67\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 42*c + 149. Let h(l) = -l - 14. Determine 9*h(u) + r(u).\nAnswer: 33*u + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -19982.924 to the nearest ten.\nAnswer: -19980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**19))**(3\/26)*(l\/l**17)**(9\/4))**0 assuming l is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 246662?\nAnswer: 5\/246662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19177896 divided by -6.\nAnswer: -3196316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*z - 6, 0 = 5*g + 4*z + 6 + 6. Let a = -59 + 138. Let w = a + g. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2335344 (base 6) in base 16?\nAnswer: 1db90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 564, 1268, 2264, 3558, 5156, 7064?\nAnswer: 9288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-168)\/(-12))\/((-4)\/6). Calculate the smallest common multiple of 6 and (-5)\/(20\/(-72))*(-28)\/w.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2. Suppose -3*j + 24 = j. Suppose p = j*p - 10. Let r(k) = -4 + 4 - p*k**2 + 8*k**2. What is z(r(g))?\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003272071879 rounded to 7 decimal places?\nAnswer: 0.0003272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60947980*h**5 + h**4*o - 20*h**2*o - 31520*h**2 - 3*h - 1 wrt h.\nAnswer: 3656878800*h**2 + 24*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 12. Calculate the common denominator of 2 + -1 + 119\/t and 43\/(860\/200) - (2364\/176 - 1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -14 - ((9 - 3) + (6 - 20))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 - 2*g**2 - 2*g - 5. Let r be q(5). Suppose 12*k - 37 = 83. Calculate the highest common divisor of k and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3126 + 3127. Is 15859 at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 461636 + -461634. Let 0*d + 0 - 3\/10*d**3 - 1\/5*d**4 + 3\/10*d**5 + 1\/5*d**x = 0. What is d?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*40\/(-5180)*-37?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/4)\/j)\/j**(-3))**(3\/14)\/(j**14)**47 assuming j is positive.\nAnswer: j**(-5261\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 + 23*f + 5. Let r be w(-23). Let c(l) = 2 - 4 + 2*l + l + l**2 + r. Calculate c(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 357991155 to the nearest integer?\nAnswer: 710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 1:26 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of 0*h**2 + 5*h + 2\/3*h**3 + 0*h**4 - 1\/5*h**5 + 0. Find the second derivative of u(g) wrt g.\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and 234?\nAnswer: 4446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -60*q + 109. Let a(m) = 28*m - 54. Calculate 7*a(p) + 3*b(p).\nAnswer: 16*p - 51","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-2 + sqrt(180))\/sqrt(10))\/(sqrt(9) + 2*sqrt(27)\/sqrt(3) + sqrt(9)) + ((0 + sqrt(288))*2 + sqrt(288))**2 + -1*(1 + sqrt(288)).\nAnswer: -49*sqrt(2)\/4 + 2591","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, g: 12}. Give prob of sequence go.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**3 + 3447*s**2 - 209520*s + 3156300 = 0.\nAnswer: -3507, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 5*m**2 + 6*m - 22. List the prime factors of v(-9).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78566879.\nAnswer: 78566879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggyggggygyggggyyg. Give prob of sequence ggg.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-8)*(5 + (-183)\/35)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14040000 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -19 + 3 + 0\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + 7. Let i = c + -19. Let h(b) = -b + 1. Determine h(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 76 = -8*f + 3*f, 0 = -5*f - 5*h + 55. Let b(v) = -16*v + f*v + 4*v. Let x(d) = d. What is b(x(m))?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 24*r**2 - 20*r + 28. Determine h(23).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2737 is divided by 2691.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31803 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10021122020101 (base 3) to base 14.\nAnswer: 335b53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 241\/66 + -2 + (-59)\/((-25311)\/78)\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-833 - -843) + (2 - 304\/28)\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least 2403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 2*o**2. Let g(z) = 2*z**3 + 5*z**2. Suppose 4 + 6 = 5*k. What is k*g(d) + 5*u(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -78 + -6 - -170 - 73?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 12:12 PM?\nAnswer: 1:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -8*t - 3 - 5\/2*t**2. What are the prime factors of x(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.9 - 11.7. Let p = 2 - 10. Let n = x - p. Which is the third biggest value? (a) 6 (b) 1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2136, -4053, -5702, -7029, -7980, -8501, -8538, -8037?\nAnswer: -6944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of f**3\/3 - 9*f**2\/2 - 35*f + 18. Suppose 2 = g - 4. Determine l(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 25133?\nAnswer: -25132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 166, -2, 0 in decreasing order.\nAnswer: 166, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -45999, -91958, -137915, -183870?\n\"Answer: w**2 - 45962*w - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1433101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of q**3\/3 - 5*q**2\/2 - q - 2. Let t be w(6). What are the prime factors of 27\/t - (-6)\/10?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 + 25. Suppose -j*m - 11 = -17. Factor -6*y**3 + y**4 + y**4 + m*y**4 - y**4 + 6*y - 3*y**2.\nAnswer: 3*y*(y - 2)*(y - 1)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u**3 + 2*u**2 + 4*u - 6. Let n(z) = 7*z**3 - 2*z**2 - 3*z + 5. Suppose 2*y - 29 = -2*m - 21, -4*m + y + 11 = 0. What is m*j(i) + 4*n(i)?\nAnswer: 7*i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 2*j - 185 = -3*n, 4*j + 164 = -4*n. Put -7, -2, j in ascending order.\nAnswer: j, -7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/20)\/((-2)\/(-10)). Suppose 2*d = f*d - 12. Solve -3*r - 2*r = -3*i - 8, d*i = -3*r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-4 - (2 + -6) - 31) + 8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17)\/(-15) + 1 + -18 + 16?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28438615 is divided by 588.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 21. Let q(u) = -20*u + 2*u**2 + 13884 - 3*u**2 + 15*u - 13879. Calculate q(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 q, and 1 g when four letters picked without replacement from wganzzaqnawanqz?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 75? (a) -0.4 (b) -4 (c) 5 (d) -0.112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**2 + 15*o + 1. Let u(v) = 19 + v - v**2 - v**2 - 6 - 14. Let p(b) = l(b) + u(b). Let c(h) = 2*h. Determine c(p(q)).\nAnswer: -8*q**2 + 32*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-3*(-2)\/(-267)). Calculate the common denominator of (-1 - (-135)\/132)\/((-9)\/702) and (j\/(-150))\/(2\/(-5)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 38*o**7\/7 - 31*o**3\/3 + 32. Find the third derivative of t(m) wrt m.\nAnswer: 4560*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iggiqgqg. Give prob of sequence ig.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 6646658\/5 - 7292\/5*f + 2\/5*f**2 = 0?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w**3 - 18*w**2 - 15*w - 51. Let a be m(-9). Suppose -25*r + 11*r + a = 0. Solve -5*j - 4 = 2*c + r, 2*j - 3*c = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -123, -197?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpqqqooqopp. What is prob of sequence wqo?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (72 + 14 + -29 - -23)\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/6 - 43*i\/3 + 1849\/6.\nAnswer: (i - 43)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5021282 and 903.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*f + 43*f + 7*f - 75972 = 0. What is the highest common factor of 18 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-80) - (-35)\/(-75))*-6.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkqeqlunuqeeeeq. What is prob of picking 1 k, 1 l, and 1 u?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 3*l**3 + l**2. Let i be f(-1). Let j be 3 - (2\/i - -8). Is -2 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -512*h + 306*h - 14123 - 10391 for h.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 762855*z**2 - 515219*z wrt z.\nAnswer: 1525710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 24 - 10*z + 11*z - 7. Let u be f(-12). Suppose 5*a - u = 0, 3*v - 13 + 2 = -5*a. What is the closest to -0.1 in -3, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -24*k + 1. Let x be l(-2). Is 4\/7 + 9331\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/9*2\/84.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 359854220?\nAnswer: 359854222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 197 - 153 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 18656 = 8*p. What is the highest common factor of 106 and p?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 5 + 3 - b + 0*b. Let w be u(5). Suppose -4*i + 8*i = 3*o - 5, 2*i + 7 = w*o. Which is smaller: 4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17999 or -18001?\nAnswer: -17999","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**3 + 24*i**2 - 19*i + 5. What is the remainder when c(11) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of l**3\/3 - 3*l**2 + l. Let d be p(4). Differentiate 4 - 3 + 1 - d*a**4 with respect to a.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 20\/8)*(-16)\/(-10). Solve x + 6 = z*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 16. Let a(f) = 6*f**2 - f. Let y(l) = l**2 + 3*l - 3. Let v be y(-4). What is the smallest common multiple of a(v) and n?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -57 + 57 - 8*o**3 + (-3 - 2*o**2 + 3)*(0*o + 0*o + 2*o).\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1908437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r - 10 - r**2 - r**2 - r**2 + 2*r**2. Let a be p(-12). Solve 0 = 2*h + a for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 6*(sqrt(7) + 0)*2 + sqrt(56)\/sqrt(2) + sqrt(28) + 0.\nAnswer: 1 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10*((-1 - 10\/(-14)) + (-2080)\/(-1400)). Solve -29*x = -25*x + v - 22, -2*x + a = v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -10. Suppose t + 3 = 2*x. Calculate the smallest common multiple of 8 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 78 = 17*z. Let l be (z\/7)\/((-39)\/182). Solve -5*v = 5*x - 10 - 0, v + l*x - 2 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 31, -1, -53, -131, -241, -389, -581?\nAnswer: -823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -288, -286, -276, -252, -208, -138?\n\"Answer: l**3 - 2*l**2 + l - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3641, 7263, 10887, 14513, 18141, 21771?\n\"Answer: k**2 + 3619*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v - 49 + 234. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n*n*n**2)))\/n**(-3\/5)*(n**(-1))**(-3\/4)*((n**2)**(-18))**(-23) assuming n is positive.\nAnswer: n**(16667\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 1\/97, 1.2, 1\/4, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*r + 61*r - 2. What is the derivative of -7*o**3 + 27*o**3 - r - 8*o**3 - 10*o**3 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3022062.\nAnswer: 2, 3, 23, 61, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 10312608*q - 8862490313472.\nAnswer: -3*(q - 1718768)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 2*h + 6. Let g = h + -3. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 14. What is the least common multiple of (3 + -1)\/(y\/40) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 239 and -2.\nAnswer: -478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**6\/120 - 7*r**5\/30 - 2*r**4\/3 + 11*r**3\/3 - 32*r**2. Let s be u(15). Solve 3*j + 9 = -n, -4*n - 3*j - 11 - s = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3047698676.\nAnswer: 2, 11, 647, 107057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j. Let b be 3*1\/6*0. Let u be v(b). Suppose -4*h + c = -81, 19*h - 15*h - 4*c - 84 = 0. Solve 2*z - 5*i = h, 2*z - 3*z - 4*i - 16 = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1778 or -0.0725?\nAnswer: -0.0725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 825?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/1)\/((-1)\/2). Suppose z*f - 9 = -1. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 8*f - 12. Let y be c(-9). Suppose 4*t - d - 23 = 0, 3*t - 5*d = t + 25. Suppose 0 = -t*b + 3*l - 34, -b + l = 4*l - 4. Sort y, b, 5, -4.\nAnswer: b, -4, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -2\/55 (b) -10 (c) -1\/3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269039279 by 17551.\nAnswer: 15329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 12. Suppose 53569 = 8*y - 14135. Suppose 0*v - 3*v = -6, v = w*r - y. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + sqrt(136)*1*2)\/(sqrt(8) - 2*sqrt(128)).\nAnswer: -3*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -284184 * -0.02.\nAnswer: 5683.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(5 + (-6*(sqrt(128) + 2 + sqrt(128) - sqrt(128)) - (4 + (1 + sqrt(128))**2)) + -1)*3.\nAnswer: -2120 - 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4\/3*c**3 + 2\/3*c + 0 + 2*c**2 = 0. Calculate c.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 + 10*g + 1. Let h be i(7). Let p = 32 + h. Suppose -30 - 5 = -p*u. Calculate the least common multiple of u and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - 69\/(-42)*-60. Let m = s - -95. Which is the biggest value? (a) -1\/7 (b) m (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28\/11 - -535\/33. Find the common denominator of ((-2)\/(-24))\/(1\/26) and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n + 1. Let f(q) = 32*q**2. Give d(f(a)).\nAnswer: -96*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 40 (base 12) to base 8\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 - -4. Let f(n) = -n**2 - 5*n - 5. Let l(v) = -3*v**2 + 18*v + 6. Let q(t) = t**2 + 2. Let w(i) = l(i) + 6*q(i). Determine r*f(c) - 5*w(c).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001070890093 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x + 34. Let g be r(0). Let b = g - 32. Solve 2*k = -0*v - 2*v + b, 2*v + 4*k - 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 12. Suppose 2*w - 5*x - 144 = -10*x, 0 = -x. Suppose t = -a + 4*a - w. What is the highest common divisor of 24 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 9 = -5*u, 20*u + 12 = 4*g + 17*u for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2857 = 1173. What are the prime factors of u?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/2 + -10)*(-1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y - 3. Let x be a(-3). Suppose x = -5*o - 1 - 24. Let r(l) = 56599*l - 5. Let u be r(o). What is u rounded to the nearest ten thousand?\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20 (b) 3 (c) -13 (d) -4\/3 (e) -1\/3 (f) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**4 - 175300*l**3 + 525888*l**2 - 525884*l + 175294.\nAnswer: 2*(l - 87647)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -72 (base 14) to base 16.\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104)\/96 - (-4)\/48?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*p = 3, h + 3*p - 7*p = -3. Let a = 13 + -1. Let n = a - h. What is the remainder when 32 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - 600\/(-42). Calculate the highest common factor of 140 and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 305 + -361 - (-101 - 4).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 875 = 10*z - 1105. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1901537 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 21*n**3 - n**2 + 3*n - 3. Let h be x(1). Suppose y + 0*y - 3 = 0. Solve 20 = -4*z, j + y*z - 6 = -h for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -81*z - 3655. Let d be h(-44). Let j = 229 + -78. Let y = d + j. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/56 + -2)\/(156\/(-273)). Factor 1\/4*p**2 + 3 - y*p.\nAnswer: (p - 12)*(p - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -382, 33, 0.19, 0 in decreasing order.\nAnswer: 33, 2, 0.19, 0, -382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 - 41*b + 55. Suppose -2*r = -6*r + 20, 4*j + 2*r = 130. What is the remainder when u(j) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001454918 to 7 decimal places.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 6*g - 20. Solve g*o + 5 = 15 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 251145 = 4*b - 225735, -596110 = -5*b - 5*l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -17.09 plus 14542218?\nAnswer: 14542200.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/20)\/(4\/10). Suppose -397*v = -2*x - 394*v + 28, 0 = -6*x - 3*v + 12. Sort 2, x, p, 0.5 in descending order.\nAnswer: x, 2, 0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -98 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**5\/24 + z**4\/24 - z**3\/6 + 3*z**2. Let u(m) be the first derivative of c(m). Let v(o) = 9*o + 2. What is 7*u(k) - 4*v(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**5)**(-28\/5))**(-2\/187))**8 assuming f is positive.\nAnswer: f**(448\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 9965.523ug?\nAnswer: 9.965523","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w + 7. Let n(d) = d. Let k(m) = 2*n(m) + s(m). Let j be k(6). Let o(a) = 36*a - 1. Is o(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/220 and -87\/154.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -3, -13 in increasing order.\nAnswer: -13, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, t: 2, v: 1, h: 2, o: 1}. Give prob of picking 1 h and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t - t + 6*t. Let u(h) = h. Determine u(r(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.306 in -28, -0.5, 0.1, -86?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -564484?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**2 - 4*q - 2. Suppose 0 = -0*j + 2*j - 8, -3*j = -4*v - 52. Let z be 5\/v + (-5)\/2. What is x(z)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 less than -20.11269147?\nAnswer: -40.11269147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 15*o**2 - 10*o - 18. Suppose 2*v - 3*n + 18 = 0, -5*n + 6 = -14. What is the units digit of k(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 350, 0, -3, 5, -207 in descending order.\nAnswer: 350, 5, 2, 0, -3, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 5:59 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (214 - 216) + 1 + -13 - -19\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 237\nAnswer: 47.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 0*a + 0*a + (6 - 3 - 1)*(5 - 5 + 7*a).\nAnswer: 13*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9.5 and -49092.\nAnswer: -466374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.35 and 28.5?\nAnswer: 9.975","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2410027787 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1253640 minus 0.1?\nAnswer: 1253639.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*t - 5*i + 14 = -59*t, 2*i - 10 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 21 = 15. What is the second smallest value in 0.3, l, -5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 172 and 8922500?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92967682?\nAnswer: 2, 5503, 8447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 265*d**2 - 343*d**2 + 1244 + 74*d**2 as c*d**2 + h + x*d and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4769*w + 5307. Let h(q) = -24*q + 1. Let u(d) = -3*h(d) + k(d). What is the first derivative of u(f) wrt f?\nAnswer: -4697","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85371147 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t - 2*t + 5*t)*(3*t - 6*t + t)*(-2 - 1 + 6) - 6*t**2 - 3*t**2 - t**2.\nAnswer: -28*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 372, 750, 1134, 1524?\n\"Answer: 3*f**2 + 369*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -307.7 - -0.2?\nAnswer: -307.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6992700 and 5868?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 776 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 689 - 997. Let q = c + 307.985. What is q rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140098082 and 73052?\nAnswer: 1961373148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 36 = 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -75 (base 12) to base 13\nAnswer: -6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, f: 3, w: 3, x: 3, z: 2}. Give prob of sequence zz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0296 - 0.0714. Sort -2, k, 1\/8.\nAnswer: -2, k, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 293878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 444 is divided by 286.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*f + f + 11452, 3*w + 9 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 477774 divided by -8382?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 847. Let i(o) = -3*o**2 + 7*o**2 - o**2 - 5*o**2 + 4*o**2. What is i(d(u))?\nAnswer: 8*u**2 + 6776*u + 1434818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15796 and 3.\nAnswer: 47388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, 0, 12?\n\"Answer: 12*z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-17\/2)*q**(-21))\/((q\/(q\/q**(-5\/12)))\/q)**(-40))**20 assuming q is positive.\nAnswer: q**(-5170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-23*a**2 - 32*a**2 - 73*a**2)*(-1 - a + 1) + (-3*a**2 + 4*a**2 + 0*a**2)*(1 - 1 + a) in the form n*a**3 + l*a + z + u*a**2 and give n.\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1591\/20 - -399\/5. Let r = -1.4 + 1. Let p = 2.9 - 3. What is the closest to 1 in p, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, -2, -5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 30 (b) -4 (c) -9\/4 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33\/2 + -59\/6. Let o = -11 - -7. Calculate the common denominator of 163\/(-12) + o\/6 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 13493, 107957, 364361, 863675, 1686869, 2914913?\n\"Answer: 13495*b**3 - b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 203127588 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 + 5. Suppose 2*o - 1 = -q + 5*o, -7 = -3*q + 5*o. Solve -4*l + a*f - 28 = -11, -q*f + 20 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 27*d + 8. Let n be (14 - 18)*(-2)\/8. Is j(n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75261*o**2 + 26807*o wrt o.\nAnswer: -150522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5922.99 - -5923. Let f = 0.9 + -3.9. Which is the biggest value? (a) f (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/(3024\/(-12)))\/((-4)\/8*2\/261).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*z**2 + 3 - 2 - 3*z**2 + 0*z**2 + 2*z**2 + (3*z - z - 4*z)*(2*z + 0*z - z).\nAnswer: -6*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2364 - -2597. Suppose -3*b = -c - c + 10, 3*c + 4*b + 2 = 0. Suppose c*p - y = 57. What are the prime factors of p?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.01637507 rounded to 3 dps?\nAnswer: 3.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 284, 1651, 4060, 7511, 12004, 17539?\n\"Answer: 521*t**2 - 196*t - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -427*i - 14*i**3 - 2*i**3 + 16*i**3 - 8*i**3.\nAnswer: -8*i**3 - 427*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*c - 34*c - 1 + 24*c + ((4 - 2 + 0)*(-3 + 1 + 1) + 6 + 1 - 1)*(c + 0*c + 0*c).\nAnswer: 56*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -5*o**2\/2 + 42*o + 21. Let q be h(8). Solve -q*x = -9*x - 35 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.16, -14, -1 in decreasing order.\nAnswer: -0.16, -0.2, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -388542523*x**2 - 196058647*x.\nAnswer: -777085046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1112 = -4*s + 6*s, 2*s - 1092 = -2*f. What is the units digit of (4\/(-5))\/((-20)\/s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4 - 2736*h**3 - 932970*h**2 + 1876900*h = 0.\nAnswer: -685, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**7)\/u*u*u)\/(u**(-3\/5)\/u))**(-46)*u**(-1\/12)\/(u*u*u\/(u*u\/(u*u*u\/u**(5\/3)*u)))*((u**(-6\/11)*u)\/u)\/(u*u**1) assuming u is positive.\nAnswer: u**(99289\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1384191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -4, -1, 19, -1197, -2 in increasing order.\nAnswer: -1197, -51, -4, -2, -1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129677 and 316009.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 1.8273 + -35742595\nAnswer: -35742593.1727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/21 (b) 97\/30 (c) 1.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 2*x = -13*v - 104, -4 = 4*v - 3*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/((d\/((d*d\/(d\/(d\/(d*d**(-9)))))\/d)*d)\/d))**(-45)*d*d*d**(-22)\/d*d*d**(4\/3)*d assuming d is positive.\nAnswer: d**(-1538\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 835, 842, 835, 808, 755, 670?\n\"Answer: -a**3 - a**2 + 17*a + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 j when two letters picked without replacement from {x: 3, e: 1, l: 6, z: 6, i: 2, j: 2}?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**2 - 2*m - 5. Determine h(-3).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/(-2) + 1)*16. Let w(d) = -d**3 + 8*d**2 + 2. Let u be w(m). Suppose -h + 36 = u*h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(1116\/255) - (-6)\/(-4). Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -69. Let w = -22 + a. Does 6 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 1:05 PM?\nAnswer: 11:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 8. Suppose 5*j + 46 = 5*m + 6, 5*j = -r*m + 32. Let h = 26 - m. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9.63 - 8.7. Let f = -0.07 - x. Which is smaller: -2 or f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(112))*-1 + 0 + sqrt(112)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of f**5\/20 + 3*f**4\/4 + 4*f**3 + f**2 + 62. Find h such that r(h) = 0.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14*(-27)\/1134*(-6)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -43469057, -86938115, -130407173?\nAnswer: -173876231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 3. Differentiate -c*k + 7 - 8 + 4*k + k with respect to k.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 2*y + 1440. Let u be (8\/(-6))\/(16\/(-120)). What is the highest common factor of u and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1088 and 11220.\nAnswer: 179520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1201682 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2463 and 1821509187?\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 9) to base 5\nAnswer: -1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2 - 2 - k. Let h(o) be the first derivative of 7*o**2\/2 - 118. Give h(l(i)).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1741125?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/539 != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -125798 divided by -1122\nAnswer: 62899\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-96))\/((-1)\/3)*-4. Let o be s\/((-5)\/(-6))*10. Solve -w = 3*w - o for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/9 + (-8)\/(-36). Let m = 2 + z. Suppose c = f, 0 = -m*f + 5 + 5. Solve -3*p = -5*v + 20, -p = -0*p + c for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 339475, 339476, 339477, 339478?\nAnswer: 339479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h**2 - 13*h + 3*h**3 + 2*h + 0 - 2 - 13*h**2 as l*h**3 + a*h + s*h**2 + g and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, 29.8, 5, 2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28 + 29?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57616 is divided by 3841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 18. Suppose v = m - k, -m - 4*m + k = -89. Calculate the smallest common multiple of 8 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 2) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309 + 1068 = 23*s - 245 for s.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/(-18)*8\/(16\/5) and -19\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 123*c - 3873. What is o(25)?\nAnswer: -1423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73434 to the power of 1\/2, to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/((-253)\/(-22))*3\/36.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - -113?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -318116 + 571879. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1690\/11391?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2231, -2358, -2489, -2624, -2763, -2906?\n\"Answer: -2*d**2 - 121*d - 2108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 830175.8km?\nAnswer: 830175800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -440 = -17*s - 457 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 47 = -5*h, 2*v - 8 = 2*h - 3*h. Calculate the highest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*h**3 - 355*h**3 - 158*h**3 - 157*h**3.\nAnswer: 11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45037?\nAnswer: 29, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5523728244?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 344*g**3*p**2 - 10*g**3 + 2*g**2*p**3 + 1876*g + 6*p**3 wrt g?\nAnswer: 2064*g*p**2 - 60*g + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3880607427 and -171.\nAnswer: -3880607598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3380158 + 3380158.26000208. Let x = -0.26 + g. What is x rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 125 - 11*q**3 + 274*q**2 - 125 - q - 4*q.\nAnswer: -11*q**3 + 274*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -331*m + 30664. Give q(92).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 46.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 + 2)*116\/(-522) + 6 + -4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q + 93 - 93 to the form n*q + v and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33, -131, -289, -501, -761, -1063, -1401, -1769?\nAnswer: -2161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 344636, 344638, 344640, 344642, 344644?\n\"Answer: 2*u + 344634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12726\/56 - (-3)\/4. Let n = o - -850. Is 49 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 183357 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -193, -550, -1517, -3400, -6505, -11138, -17605, -26212?\nAnswer: -37265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**3 + 2*h**3 - h**3 + (h**2 - h + h)*(-3*h + h + h) - h**3 - 3*h**3 + 3*h**3 - 5*h**3 + 5*h**3 + 3*h**3 + 2 + 12*h - 12*h + h**2 - 3*h**3.\nAnswer: -4*h**3 + h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*g + 11 + 19*g + 2*g**2)*(5 - 5 + g)*(3*g**2 + 0*g**2 - g**2).\nAnswer: 4*g**5 + 22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634696030 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -658\/15 - -44. Let b = 5.3 - 5. Let p = -1\/407 + -399\/3256. What is the second biggest value in z, p, b?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*l + 2*l - l)*(7*l**2 - 3*l**2 + 5*l**2) + 36*l**2 - 36*l**2 + 8*l**3.\nAnswer: -514*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 135304?\nAnswer: -135304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 1:16 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92353605 is divided by 46176799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/36)\/((-31)\/(-186))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/40 - r**5\/8 - r**4\/8 + 11*r**2. Factor c(w).\nAnswer: -3*w*(w + 2)*(2*w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - s + 2 = 4*b, -4*b + 4*s = -8. Is -1\/13 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 + 84*z**2 + 2*z + 150. Calculate the smallest common multiple of 330 and m(-42).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hj when two letters picked without replacement from {j: 2, l: 1, h: 4, w: 3}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -26*p + 24*p. Calculate the remainder when 105 is divided by p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -787, -1827, -3121, -4669, -6471, -8527, -10837?\n\"Answer: -127*y**2 - 659*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microsecond in nanoseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(12)\/sqrt(4)) + 6*sqrt(12)*2.\nAnswer: 26*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*p - 28 = -74*p for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**2\/7 - 176612654*i\/7 - 176612656\/7 = 0. What is i?\nAnswer: -1, 88306328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:27 PM?\nAnswer: 6:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 316867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53645850*n**4 + 4091*n**2 - 5173*n.\nAnswer: -1287500400*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.075 in -4\/7, -2\/11, 5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -58*c**2 - 2*c - 1. What is n(-1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(99)*1)\/sqrt(9) - sqrt(1100)*2).\nAnswer: -76*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.5, 2, -2\/22581 in decreasing order.\nAnswer: 2, 0.5, -2\/22581, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**(2\/11)))\/a**2)**(-3\/5) assuming a is positive.\nAnswer: a**(72\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*r + c, -3*r - 4 + 16 = 3*c. Suppose -2*u + r*u = 0. Suppose q - 5*q + 136 = u. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -13*w**3 - 10*w + 3. Let r(p) = 14*p**3 + 11*p - 4. Suppose 14 = -3*v + 2. Let l(o) = v*n(o) - 3*r(o). What is the second derivative of l(u) wrt u?\nAnswer: 60*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5656, -5494, -5230, -4870, -4420?\n\"Answer: -q**3 + 57*q**2 - 2*q - 5710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h*x**3 + 3*h*x**2 - 2*h - 5*x**4 + 5*x - 1 wrt x?\nAnswer: 6*h*x + 6*h - 60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 546052521 and 0.2.\nAnswer: 109210504.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4181, -4182, -4183, -4184?\nAnswer: -4185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11129385453\/3454 - 3222173. Find the common denominator of 101\/132 and o.\nAnswer: 20724","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 7*b + 4. Let n be r(7). Let p be n\/(-14) + 4\/14. Suppose p = 3*z - 4*z + 3. Solve z*m = 6*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -213235, -426187, -639141, -852097, -1065055?\nAnswer: -1278015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 74*u\/7 - 72\/7.\nAnswer: -2*(u + 1)*(u + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 476 and 10\/4*2\/(-10)*(-26)\/13?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (2 + 39\/(-12)). What is the third biggest value in -1\/4, 0.06, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2017994678 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) -28\/19 (c) 1\/3 (d) 1\/10 (e) 0.4 (f) 0.673\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l + 2*l**2 - 2*l)*(2*l - 2*l - 2*l) - 2*l**2 + 248*l**3 + 0*l**2 - 256*l**3 + 12*l to the form a*l + c*l**3 + m + b*l**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5488 and 1376.\nAnswer: 471968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9adb5 (base 14) to base 9\nAnswer: 632556","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -10*f + 20. Let k(z) = -4*z + 8. Let y(n) = 5*g(n) - 12*k(n). Give y(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*w + 51*w - 75 = 0. What is the derivative of 15*y**3 + 15*y**3 - 35 - w*y**3 wrt y?\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -59?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -545 - 21243?\nAnswer: -22232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 47 - (0 + 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3331601 times -5?\nAnswer: 16658005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 5)*(0*a + 2*a + 0*a)*(-1 - 2 - 1) in the form s + g*a and give g.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15862058 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-2))\/((-4)\/(-24)). Let l = -3 - u. Let b be 4*1*(-1)\/(-2). Solve b*r + l*r = -h - 2, -4*h + r + 19 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/9*(-18)\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -7\/4, -5.7, -1\/4.\nAnswer: -5.7, -4, -7\/4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 946821.\nAnswer: 1893642","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.08, 3\/13, 0.1, -0.3, 36 in increasing order.\nAnswer: -0.3, -0.08, 0, 0.1, 3\/13, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 25*l + 15075 = 108*l + 92*l. Let s = -99 - -148. What is the remainder when l is divided by s?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 9*g - 5. Let x = 10 + -20. Let i be p(x). Solve i*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(3\/4)*r)\/r*r**(-4)*(r\/(r\/(r*((r*r*r**(1\/4)*r)\/r)\/r))*r)**9)\/(((r\/(r*r**(-2\/17)))\/r**(-5\/4))\/((r**(2\/3)\/r)\/r)**(-20\/7)) assuming r is positive.\nAnswer: r**(40615\/1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -103 and -2.96.\nAnswer: 304.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -68*y**5 + 5*y**4 - 5*y**3 + 7*y - 7. Let d(w) = w**5 - w**4 + w**3 - w - 1. Let k(u) = -b(u) - 5*d(u). Find the second derivative of k(t) wrt t.\nAnswer: 1260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -88 - -39. Let w = -45 - b. Suppose 4620000 = -6*l + w*l. Round l to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2887*w - 4146894622 + 4146894622.\nAnswer: -2887*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in -21, 21, 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5221 = 365*t - 7551 + 362 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 629.8 - 630. Which is the smallest value? (a) w (b) 1\/4 (c) 2\/3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89619 divided by -59?\nAnswer: 89619\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5684 to the nearest one hundred.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1900\/160 - 9) + -3\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uoh when three letters picked without replacement from {h: 1, u: 1, o: 1, c: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -339506 != -339510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 21279150 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 38820*m - 7 - 41284*m.\nAnswer: -2464*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11136 or 11137?\nAnswer: 11137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 54*a**2 - 14*a - 3. Let k be i(-11). Let o = 5622075\/841 - k. Let z = -39927\/33640 - o. Find the common denominator of -3\/28 and z.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10313616 = 72*x - 22385461 - 24051971. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*v + 26*v + 95 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -20\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/175 and 91\/10129880?\nAnswer: 354545800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -6*x**5\/7 + 7656*x**4\/7 - 45774*x**3\/7 + 68580*x**2\/7 = 0.\nAnswer: 0, 3, 1270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 570 - 565. What is the second derivative of 0*g**5 - 1498*g**4 + 1602*g**4 - 204*g + g**q wrt g?\nAnswer: 20*g**3 + 1248*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3249 - 594. Is 79 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8 take away 3205?\nAnswer: -3209.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1761*j**2 - 1749*j + 11. Let u(n) = -353*n**2 - 350*n + 2. Let d(v) = 2*q(v) - 11*u(v). Find the second derivative of d(s) wrt s.\nAnswer: 722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 8426 = 4*d, -53*a - d = -49*a - 16825. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003291 to five dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2 (b) -1\/3 (c) 4 (d) 3\/1210 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4423379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -27*q + 9*q**3 + 3*q**5 - 12*q**4 + 5 + 12*q**2 - 9 - 11. Let f(d) = d + 1. Let z(i) = 15*f(i) + g(i). Let z(r) = 0. What is r?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 1. Let v(t) = 3 + 3 - 2 - 3. What is 3*h(u) - 4*v(u)?\nAnswer: 3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -11 + 4 + l**2 - 4*l**3 + 6. What is the units digit of x(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 96185 or -120?\nAnswer: 96185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - (0 - (-4 + 7))) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -45 - 15) + (0 - -1 - 6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 505904.5 milligrams?\nAnswer: 505.9045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 s when three letters picked without replacement from {c: 3, s: 3, j: 1, v: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221*l = 219*l + 78. What is the least common multiple of 39 and l?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8 + -1)*8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + b**2 - b + 1. Let t(r) be the third derivative of 7*r**6\/120 + 7*r**5\/30 - 5*r**4\/24 + 5*r**3\/6 - 2183*r**2. Give -5*h(v) + t(v).\nAnswer: 2*v**3 + 9*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 341*d**2 + 121*d + 363. Let a(v) = 17*v**2 + 6*v + 18. Let z(g) = 121*a(g) - 6*h(g). Let m(y) = -78*y. Give z(m(b)).\nAnswer: 66924*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.556619778 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2\/1)\/(4\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21222 (base 4) in base 12?\nAnswer: -436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2506 + 2445 + (0 - -119)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g - 9*g + 42. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-279)\/81*9 + 54.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-39 - -37)*(-1 + 1541\/(-2)). Let m = 2460 - l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 1. Let z be (-3 + 3)*(-2)\/(-4). Let t = z + -2. List the prime factors of d(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 569 + -2841\/5. Suppose -1\/5*b**4 + m*b - 2\/5*b**2 + 3\/5 - 4\/5*b**3 = 0. Calculate b.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 64.\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1082 less than or equal to 12390?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 219, 272, 427, 738, 1259, 2044, 3147?\nAnswer: 4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**7\/210 - t**6\/24 + 4*t**5\/15 + 17*t**4\/6 + 8*t**3 + 4*t**2 + 15. Solve u(g) = 0 for g.\nAnswer: -6, -2, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-19)\/(-39) + (-2)\/6. Let g = 5 - 6. Let i = 2\/3 + g. What is the smallest value in v, 1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 7:47 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102993 + 10974*v**2 + 102993 to j*v**2 + z + t*v and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 4:06 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15339 - -0.28339. Which is the nearest to -1.5? (a) 4 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 2\/34063615?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 25 = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862 = -2*t + 2*j, -4*t + 8*j - 7*j = -1733. Suppose -t = -11*s + 501. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*p - 22*p + 48*p = -60 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 2*i + 5. Let w be (13\/(i\/(-18)))\/2. Suppose 3*p + 0*p - g = 64, 2*p - 61 = -w*g. Round p to zero dps.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*u**2 + 34*u**2 + 115*u + 5*u**3 + 1606 - 1551.\nAnswer: 5*(u + 1)**2*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 30384?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 + 7*u + 7. Let a(z) = -z. Give 14*a(o) + 2*i(o).\nAnswer: -2*o**3 - 2*o**2 + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-16 - -15 - (-1 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3783 and 351?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.5 - 5.9. Let k be (-4*(-4)\/(-8))\/7. Let w = 2.95 + 0.05. Which is the nearest to k? (a) -2\/13 (b) w (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s**6\/s)\/s)\/(s\/(s*s\/(s\/s**6)*s))*((s*s*s**(2\/11))\/s)\/(s*s*(s*(s\/s**6)\/s*s)\/s*s))**(-30))**37 assuming s is positive.\nAnswer: s**(-185370\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 167194 divided by -5618?\nAnswer: -83597\/2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -9\/2*v**2 + 1\/3*v**3 + 5*v + 0. What is the remainder when q(11) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6490 - 6135. Calculate the remainder when k is divided by 184.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2216 by -8.\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 7*o**2 + 11*o - 4. Let j(d) = 2*d**3 - 5*d**2 + 5*d - 1. Let v be j(2). Let t be x(v). Which is the nearest to 1? (a) -2 (b) 0.1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f. Let r be h(2). Suppose m + 0*m + 2*c - r = 0, 0 = -m - 3*c + 11. Let j = 125893 + -125871. What is the highest common divisor of m and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-7)*((v**(-2\/33)*v)\/v)\/v assuming v is positive.\nAnswer: v**(-266\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4810175 > -48101739\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 502 and 0.03913?\nAnswer: 501.96087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/3 (b) 1.629 (c) 5 (d) -11 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2289*f - 2091?\nAnswer: -2289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -2, 9, -0.4 in ascending order.\nAnswer: -13, -2, -0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwxxxxnxfxnwwvxx. Give prob of picking 1 f and 2 n.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*z + 24. Let n be (-4)\/10 - z\/(-5). Let q be 4 + (2 - (1 + 0)). Solve q*l = 27 - n for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37 and 629?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {g: 1, z: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2*-478\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -166*a + 2324. Let j be p(14). Put -7, -4, j, -16 in descending order.\nAnswer: j, -4, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygy when three letters picked without replacement from epyyfggegy?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -99 (c) 1\/6 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 27. Let b = 20 - t. Solve -b*o - 2*w - 3 = 7, -o - 5*w + 21 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -288 + 288. Let r be (-6)\/21 - (-256)\/994. Which is smaller: r or m?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 4, v + 11*w - 14*w - 1319 = 0. What is the lowest common multiple of v and 242?\nAnswer: 2662","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010377357087 rounded to 7 dps?\nAnswer: -0.0010377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 + 2*q**2 + 1. Let b be l(-2). Is b at least as big as 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzztzzttzzwz. What is prob of picking 1 t and 1 z?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3135, -6276, -9425, -12582, -15747, -18920, -22101?\n\"Answer: -4*s**2 - 3129*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7009 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 411 + -271. Let f be (m\/42)\/((-4)\/(-18)). Suppose f*r = 21312 + 8463. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 50.1778km?\nAnswer: 50177800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4*(4 + 1 + -4). Suppose -5*p + f*p = -93. Is 31 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -47.5. Let l(n) = -n - 2. Let g be l(-3). What is the smallest value in g, 3\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o. Let n be m(3). Let b be (94\/n)\/(3\/9). Let u = b + 71. Does 12 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1697 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of n**5\/20 - 3*n**4\/4 + n**3\/3 + n**2\/2 - 5*n. Let y be v(8). Let f = y + 69. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*p - 21, p - 35 = -3*p + 5*m. What is the second biggest value in -4, 3, -0.3, p, 0.03?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 2. Let p(g) = -11*g - 4. Let w(u) = 2*i(u) - p(u). Let q(k) be the second derivative of k**3\/3 - k. Give w(q(z)).\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 52693 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: Calculate (((-14145)\/(-656))\/(-69))\/((-1)\/8)*(-308)\/5.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 21*m**5 + 49*m**2 + 27. Find the second derivative of o(b) wrt b.\nAnswer: 1260*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 9 + 278*o - 9 + 108*o.\nAnswer: -o**3 + 386*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a. Let g = a + 5. Solve -i**2 - 1\/5*i + i**4 - 3\/5*i**3 + 4\/5*i**g + 0 = 0.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -2. Let x = -5\/8 - -7\/8. Which is the biggest value? (a) x (b) r (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -2 (c) -0.12 (d) 4 (e) -4 (f) -79\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 11*b**5\/60 + 3*b**3 + 13*b**2. Differentiate n(s) with respect to s.\nAnswer: 22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - -20. Let d = -23 + k. Which is the nearest to -0.2? (a) -0.1 (b) 0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/19 in 20, 3.4, 207?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7109423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**5\/30 + 425*l**4\/9 + 59924*l**3\/3 - 120984*l**2 - 8457*l. Let b(k) = 0. What is k?\nAnswer: -426, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a + -6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*o - 8*o = -549075 - 227765. What is o rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 26*o**2 - 25*o + 24. Let p be l(27). Calculate the greatest common divisor of 52 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -68*c**3\/3 - 2*c**2 - 34*c. Let m be z(-3). Suppose m = -2*r + 4*r. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 85*r**2 - 57*r - 115. Let n be h(-84). What is the greatest common factor of n and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33756.07l in millilitres?\nAnswer: 33756070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1257391?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 112 + -45. Let d = 63 - r. Which is the nearest to 0? (a) 2\/11 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 3153672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f\/f**(-2\/25)))\/f**(-1)*((f\/f**(-4\/5))\/f)\/((f\/(f*f\/f**(-8\/3)*f))\/f) assuming f is positive.\nAnswer: f**(479\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = t - 15. Let s(q) be the third derivative of -1\/3*q**t + 0 - 1\/10*q**5 - 2*q**2 + 0*q + 0*q**4. What is the first derivative of s(y) wrt y?\nAnswer: -12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t**(-2\/7)*t)\/t)\/(t\/t**5))\/(t\/(((t\/t**0)\/t)\/t))**(-28))\/((t*t\/((t\/(t\/t**(-1)))\/t))**(-24))**(10\/7) assuming t is positive.\nAnswer: t**(1378\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 16060424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.89 - 0.11. Let o = 5.00037 + f. What is o rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (5 - -6) - (-20 - (-2 + 5) - 2).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 16*w - 3. Let s(f) = -f**3 - 8*f**2 + 8*f - 7. Let r be s(-9). Calculate the remainder when ((-1494)\/27)\/(2\/(-3)) is divided by a(r).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014061129 to seven decimal places.\nAnswer: -0.0001406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113665 is divided by 72.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 12:05 AM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, 92, -3, -2\/11, -1\/9 in descending order.\nAnswer: 92, 2\/19, -1\/9, -2\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2. Let h be 3 + -6 - (-90)\/3. Let g = h + -23. Let r(b) = -1. Let l(w) = 5*w**2 + 4. Let i(q) = g*r(q) + l(q). What is i(p(v))?\nAnswer: 45*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5387*g**2 + 55 + 58 + 10763*g**2 - 113 - 5371*g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 370591962?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13497309?\nAnswer: 3, 7, 214243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/1440 and -31\/384.\nAnswer: 5760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 33\/12 - 3\/4. Suppose y*q - 18 = -q. Suppose 33 = q*p - 3*p. Solve 0 = -b - 3*o + 8, -o + 6*o = -4*b + p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q + 2*q - 3*q)*(-6 + 0 + 1) + 2*q + 3*q - 7*q.\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 17208 divided by -5736\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 189389\/88 at least as big as -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 15 = 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*c**2 + c - 6*c**2 + c**2 - 3*c**2 in the form h*c + o + b*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*d - 9876, 0 = d - h - 0*h - 2459. Suppose 57*q = 64*q - d. List the prime factors of q.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3\/2, -1, 432?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6*(-42)\/28*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 700 a factor of 11719400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 45162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*a - 210*a = -8398. Solve -r + a*b - 21*b = 11, -4*r = b + 23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47174160.\nAnswer: 2, 3, 5, 11, 107, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 4:14 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjitiiiijtqtzk. What is prob of sequence itt?\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 not equal to 0.038?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = w + 3*v - 30, -4*w - 3*v + 183 = 0. Suppose -35 - 28 = -2*m + b, 3*m - 3*b - 99 = 0. What is the remainder when m is divided by 840\/w + (-2)\/2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53945 = 5*v + 5*q, -4*v = -6*q + 4*q - 43168. Is v a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/13)\/n**(-6\/5))\/(n**(1\/6)*n*n*n**(-4)) assuming n is positive.\nAnswer: n**(1093\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -12. Let r = n + 12.9. Which is the third smallest value? (a) -2\/3 (b) -4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 288 = 70. Let i = 134 + c. Solve 0 = 5*w - h - i, 4*w - 3*h = -6*h + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-25)\/(-6) - (-51)\/(-102).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74 + 74 + 83 - 388 + 68 + 79 + 36*q.\nAnswer: 36*q - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 34*j. Let a(b) = b. Let q(p) = -3*a(p) - i(p). Let k be q(-1). What is the derivative of 10 - 37*x + k*x - 10*x**3 wrt x?\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**2 - 7785174*h - 5050744517523 = 0.\nAnswer: -1297529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzsztitrsrzm. What is prob of sequence mszz?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1167 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: Work out -0.018 - 10111.\nAnswer: -10111.018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*f - 3, -2*f = 5*v - 9 - 14. Let c = v - -2. Let j be 8\/((-220)\/12 - -21). Solve -4*z + 13 = u - 8*z, -c*z = j*u + 29 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11437457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/388661 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012842954 rounded to six decimal places?\nAnswer: -0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzzzzz. Give prob of picking 3 z.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/72*-6)\/(2\/1262) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - n**2 - 3*n. Let r = -24 + 27. Suppose -3*v = -s + 9, -3*s + 4*s = -r*v - 15. Calculate the remainder when d(s) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 221 (base 5) to base 6.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/7*23324\/1190. Let s(r) = -r**2 - 4*r + 1. Let v be s(-3). Solve n + 5*z + 5 = -v*n, -2*n + 4*z + w = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/3 + -1\/3. Let o = -5.04 - -0.04. Let c = -5.5 - o. Put c, -5, b in ascending order.\nAnswer: -5, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -867 + 888. Solve 63*y - 66*y = b for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -552 - 10.14.\nAnswer: -562.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgmnscnnngnmtnn. Give prob of sequence gts.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 1, k: 12, c: 2, j: 3}. Give prob of picking 1 y, 1 k, and 1 u.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {i: 1, z: 1, j: 1, t: 1, c: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*x - 151*x - 148*x + 476*x.\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -358.\nAnswer: 3\/358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let j be b(0). Suppose -2 = r + 4*u - 14, 5*r + 4*u - 28 = j. Determine l so that -1\/2*l**3 + 1\/2*l + 5\/2*l**2 - 5\/2*l**r + 0 = 0.\nAnswer: -1, -1\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -8. Let r = 684 - 684. Suppose 11*u - 7*u - g*l = 78, 3*l + 6 = r. Solve -k + 5*i - 9 = 2, u = 3*k + 2*i for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 980 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 449896358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-251 - -235) + -16 + 4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3550*k**4 + 7473 wrt k?\nAnswer: -14200*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1.9. Let o = 7.056 + -0.156. Let p = 7.4 - o. Which is the biggest value? (a) 5 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + -4 + (-2 - 8).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezbbgeazbszsbezbgb. Give prob of sequence ab.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -196659000 to the nearest one million.\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 5*g + 32, 5*h = -2*g - 2*g - 80. Calculate the common denominator of 1 + (3 - 1\/((-4)\/(-126))) and -2 + h\/22 - 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -41*(-22 - 1\/1). Let q = l - 3687\/4. Calculate the common denominator of -65\/9 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10140423 (base 6) to base 8.\nAnswer: 1074277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2. Let m(i) = -7 + 7 + 2*i**2 - 6*i**2 - 17*i**2. Give g(m(s)).\nAnswer: -2205*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -38584, -38464, -38344, -38224, -38104, -37984?\n\"Answer: 120*q - 38704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126283147.\nAnswer: 6317, 19991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -731*v**6\/30 + 1739*v**5\/30 + 3884*v**2. What is the third derivative of w(t) wrt t?\nAnswer: -17544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h = -0 - 96. Solve 2*u - 4*v + h = -4, -5*v - 10 = 5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x. Let v(f) = -12969*f**2 + 88*f - 176. Let b(k) = -741*k**2 + 5*k - 10. Let a(o) = 88*b(o) - 5*v(o). What is a(l(t))?\nAnswer: -1452*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -f + 22 + 16, -2*p - 3*f - 12 = 0. Let j = -5 - p. Let d(u) = u - 4. Let n be d(j). Let k(q) = q**3 - q**2 - q + 5. Give k(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*o - 1 = 0, -2*c - 3*o = -0*o + 5. Suppose 0 = -3*d + 12, -12*q = -13*q + 5*d. Suppose -19*k - 5 = -q*k. Sort c, k, 2 in decreasing order.\nAnswer: k, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -796*j + 415. Let m(y) = 813*y - 416. Let d(g) = 5*a(g) + 6*m(g). What is the derivative of d(s) wrt s?\nAnswer: 898","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/(-20) + 2\/(-5). Suppose -p - 5*m = p, -m = b. Let d be (0 + 2)*(-1)\/8*-44. Solve -5*c - 4 - d = p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaa. Give prob of picking 2 a.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106352459.\nAnswer: 17, 43, 73, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5.4? (a) 5 (b) 2\/3 (c) 0.05 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512130142.\nAnswer: 2, 19, 47, 6101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19116 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15203 and 6.\nAnswer: -15197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z - 3*z + 4*z)*(-4*z - 12 + 9 + 3*z) to the form g*z**2 + r + a*z and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 514*s**3 - 43*s**2 + 126*s + 15. List the prime factors of z(3).\nAnswer: 2, 3, 13, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 15452.7, 54 in decreasing order.\nAnswer: 15452.7, 54, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 448170 or 448169?\nAnswer: 448169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 162 = 54. Let q = -30 - y. Solve 3*g - g + q = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, f: 14}. Give prob of sequence fo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2 = 2*x. Let -4*h**2 + x*h - h + 3*h**2 = 0. Calculate h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(19) + (-1 + sqrt(19) + -2 - sqrt(19)))*4 + (sqrt(19) - sqrt(114)\/sqrt(96))*-2))**2.\nAnswer: -960*sqrt(19) + 4204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 54 + 6. Suppose -3*x + 2*q = -0*x + 9, 4*x - 5*q = -j. Let u be 3\/(x*(-4)\/504). What is the highest common factor of 14 and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8*(-38)\/40 + -8)\/(2\/4).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 3*i + 11. Let q(k) = k**3 + 7*k**2 + 7*k + 8. Let r be q(i). Let j(g) = -4 - r*g - 3 + 5. Calculate j(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 3*w**2 - w)*(-2 + 5 - 1) + 3 - 9*w + w**2 + 9*w.\nAnswer: -5*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 205.01709 months in millennia?\nAnswer: 0.0170847575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 2016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 75, 140, 193, 228, 239, 220, 165, 68?\n\"Answer: -j**3 + 72*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/18 and 25\/68463363.\nAnswer: 410780178","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -14749548 (base 10) in base 9?\nAnswer: -30670516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2448)*1 - sqrt(2448))**2 + (5 + -1 + sqrt(2448))**2)*6.\nAnswer: 576*sqrt(17) + 14754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d84 + 1118?\nAnswer: 309c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 124*k + 1311. Let y be q(-11). Calculate the highest common divisor of y and 903.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 11. Suppose -z = n + 2*n + 10, -5*n = -4*z + c. Let u = 6 + -10. Sort 1, u, n in increasing order.\nAnswer: u, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380901 is divided by 472.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 89 = 4*v, 5*o - 2*v = -0*v - 125. Let c = 22 + o. Which is smaller: -4 or c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -128690, -257371, -386050, -514727, -643402?\n\"Answer: l**2 - 128684*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2381?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5072 - -5486. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 893458 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3267 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/14 - 646\/(-133). Suppose -r*a = -4 - 16. Let f(p) = p**3 - 4*p**2 + p - 3. Give f(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 50 = -2*j. Suppose j = 2*h + 20. Is h\/(25\/(-6294)) + 2\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(49)\/(sqrt(21)\/sqrt(3)) + 4*sqrt(112) + sqrt(77)\/sqrt(44).\nAnswer: 35*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 19.234\nAnswer: -19.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6915884, 6915881, 6915878?\n\"Answer: -3*d + 6915887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 6*m - 4. Let o(j) = j - 1. Let f be o(5). Suppose 4*q - 5*r = -21 - 15, -3*q - 4*r + f = 0. Calculate s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + -2. Let x = -1672 - -1678. Put 5, -5, p, x in decreasing order.\nAnswer: x, 5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0165824 to 3 dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -31*v**3 - 1649*v**2 - 326*v - 414. What is b(-53)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54 + 380\/7. Let h be -1*(-2)\/((-12)\/(-9)). Let i = 13\/10 - h. Sort i, x, -5.\nAnswer: -5, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/3 in 0.4, -4, -20.6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -223, -335, -447, -559?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 267609?\nAnswer: 802827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. What is prob of sequence qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -4*-4*(-2 + 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31097, 62330, 93523, 124676, 155789?\n\"Answer: -20*n**2 + 31293*n - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000283 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-1)\/(-15))\/(-4*12\/(-16))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10714 by 2053.\nAnswer: -10714\/2053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 11\/2, 5\/22, -5, 4?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -36756.\nAnswer: 5\/36756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45552 divided by 39.\nAnswer: -1168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 118 = -98. Let i(u) = -2*u + 23. Let o be i(f). Suppose p = -o + 34. Which is the closest to 0.1? (a) 2 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646.\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 8, -4, -21, 1.\nAnswer: -21, -4, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -693*i = -806*i + 4407 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k + 19. Let d be r(-16). Suppose 0 = -3*i, 5*q - 6*q + 5*i + 78 = 0. Let l = 92 - q. Calculate the highest common divisor of d and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k**3 - k**2 + 263*k + 1287. Calculate the remainder when r(-5) is divided by 53.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 13) to base 2\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20227)\/1356)\/((-741)\/(-12)). Let f = 75530\/57 - 1325. Let p = z + f. Which is the closest to -2\/13? (a) p (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*l + 45*l - 100*l.\nAnswer: -23*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.9 + 0.9. Put q, 4, 2 in ascending order.\nAnswer: q, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 66.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -355, -1, -37, -7 in decreasing order.\nAnswer: -1, -7, -37, -355","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.06 and -1255?\nAnswer: 1255.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 24, -0.362, -5, 0.257?\nAnswer: 0.257","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*m - 11*m - 36 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -142454 + -22?\nAnswer: -142476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 355566724 to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9\/319, -99\/4, -1\/14?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47554, 190356, 428356, 761554, 1189950, 1713544?\nAnswer: 2332336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dhndj. Give prob of sequence hhd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 40, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2053*s + 2047*s - 42 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, m: 1, h: 1, t: 1, y: 1, u: 2}. Give prob of picking 1 m, 1 u, 1 t, and 1 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*o - 1 + (-2 - 1 + 4)*(o + o - o) + 4*o - 5*o + 4*o)*(-2 + 0 + 3).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1420231 + -23354?\nAnswer: 1352433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-4 + -1*sqrt(27) - (4 + sqrt(450)\/sqrt(6))))**2.\nAnswer: 96*sqrt(3) + 228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06 + 0.0568. Let u = l + 0. What is u rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*f = -12, v - 3*f - 17 = -2. Let r(l) = -l**2 + 5*l + 2. What is r(v)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 - 3*l**2 + 3*l**2 - 10*l**2 - 29*l**2.\nAnswer: -41*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -13*t**4 + 24*t**3 - 29*t**2 + 6. Let u(y) = 25*y**4 - 49*y**3 + 58*y**2 - y - 11. Let g(p) = -11*a(p) - 6*u(p). Factor g(w).\nAnswer: -w*(w - 3)*(w - 1)*(7*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -7*b**3 + 110*b - 217. List the prime factors of s(-22).\nAnswer: 71899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 - 3*l**4 + 6*l**3 + 10*l**2 - 21*l + 9.\nAnswer: -(l - 1)**3*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4550\/(-4)*(-15 + 1512\/120). Calculate the greatest common divisor of 351 and h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, -3, -0.5, 10 in increasing order.\nAnswer: -3, -0.5, 10, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - -1) + (-58)\/(-1). Let r = 89 - x. Let p = r - 23. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 10. Let t(i) = 15*i + 6. Let l(a) = -7*a - 3. Let h(q) = 13*l(q) + 6*t(q). Let x(r) = -10*h(r) + 3*u(r). Let c(s) = -3*s**2. What is c(x(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3107892732?\nAnswer: 2, 3, 7, 59, 131, 4787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 12 - 32 = 0, d = 2*g + 11. Suppose 0 = m + 9 - d. Let n(v) = -6*v - 15. What is the units digit of n(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 11 = -4*r. Suppose -8 - 198 = -r*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.18*4.\nAnswer: 4.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 7*l**2 - 19*l - 3. Let u be m(-9). Solve -6 = -u*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281172.31 rounded to the nearest 1000?\nAnswer: -281000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 279*m + 99. Let q be x(4). What is the highest common divisor of q and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6296.657 days to seconds.\nAnswer: 544031164.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -341*i - 66. Suppose -5*f - c - 9 = 0, -3*f - 19 = 2*c - 8. List the prime factors of x(f).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 36*k + 51. Let w(b) = -7*b - 10. Calculate 4*u(f) + 21*w(f).\nAnswer: -3*f - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 471\/25 - -24512\/75. Let f = 349 - l. What is the closest to f in 0.1, 1, -4\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21336 + 21335.77898. Let i = c + 0.22. What is i rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 5*b + 1 = -2*r, -2*r - 9 = -5*b for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -19\/3, 3.\nAnswer: -19\/3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 13*g**2\/2 + 16. What is the remainder when p(6) is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*d - 0*d. Suppose -t - 20 = -d*t. Put 1, t, -3 in increasing order.\nAnswer: -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 33*p**2 + 18*p + 27. Let l(f) = 36*f**2 + 20*f + 25. Determine -11*d(a) + 10*l(a).\nAnswer: -3*a**2 + 2*a - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -90\/7 - -1199\/84. Let c be ((-36026)\/(-10) + 0)*(-40)\/(-32). Let i = 4527 - c. Find the common denominator of y and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -3 - 0. Let g(l) be the third derivative of 0*l + 0*l**d + 1\/60*l**5 + 0*l**4 + 0 + l**2. Let y(n) = -3*n. What is y(g(o))?\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) -3\/5 (c) 16 (d) -7 (e) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -23.2 and 0.04853.\nAnswer: -1.125896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 + b**2 - 20. Let d(o) = 7138*o**3 + o**2 - 60. Calculate d(j) - 3*p(j).\nAnswer: 7141*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((247\/(-988))\/(1\/3))\/(1197\/56)\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 105\/245 + 335\/35. Solve 0 = -a*t + 30*t - 120 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u + 1. Suppose -2*t + 6 = -4*t. Let b(g) = 5*g - 2. Determine t*c(l) - b(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47 - 132. Let h = 158 + i. Calculate the greatest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(10\/(-40) - (19\/95 + (-494)\/120)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 9. Let h = z - -7. Find the second derivative of 0*y**5 + 0*y + h*y**5 - 2*y wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (7 - -1)) + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 9:26 PM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0996 - 28.7664. What is o rounded to one dp?\nAnswer: -28.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -122 + 1421?\nAnswer: 1255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = -2*n + 6*n + 12, 0 = -3*v - 2*n - 6 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a millennium in decades?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 w when two letters picked without replacement from {f: 5, v: 1, w: 7, p: 6}.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*o**2 + 14*o**2 + 2*o**2 in the form i*o + x*o**2 + l and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02889 rounded to 2 decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 665870004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 157*f**3 + 37 - 38 - f**2 + 18*f - 153*f**3 in the form w*f + k*f**3 + p + q*f**2 and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -0.5, -0.023, -7.42, 2\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61490 and 1083940?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 122 - 47\/1269*6561?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i. Let q be 7\/(-2) + 1\/(-2). Let b be (-2)\/(1 + (q - -2)). Let t(n) = 0*n - n + b*n. Give t(h(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.042 (b) -7 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2314652*b**4 + 2*b + 11194582 with respect to b.\nAnswer: -9258608*b**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (231\/(-6) + 6)\/(17\/(-136)). What is the highest common divisor of i and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -12*y + 1. Suppose -3*l - l - 28 = 0. Let p(d) = 24*d - 2. Let n(u) = l*m(u) - 4*p(u). Does 13 divide n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 148 = 2*u + 35*u. Let m be 6*(5\/6)\/(5\/u). Solve m*q + q = -k - 18, q = k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 32*b**2 - 4*b + 3. Let h = 0 - 0. Suppose -3*j + j - 4*r + 20 = h, 4*r - 18 = -j. Is z(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 3. Let d be t(-3). Suppose -d - 14 = -2*r. Calculate the remainder when 88 is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 289, 454, 639, 850?\nAnswer: 1093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 4*o - 2*o. Suppose o*r = -2*r - 5. Is r equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*u - 16*u - 23*u + 222*u**3.\nAnswer: 222*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1321989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 - 12*z - 22. What is the remainder when 68 is divided by q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in -3\/8, 0.2, -183, -0.3, 82, -1\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70*m + 4*m + 15*m)*(2*m**4 - 3*m**4 - 2*m**3 + 2*m**2 + 0*m**4).\nAnswer: -89*m**5 - 178*m**4 + 178*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1566 divided by -6.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -274, -273, 258, 1583, 3966?\n\"Answer: 44*w**3 + w**2 - 310*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -842336, -1684697, -2527058, -3369419?\nAnswer: -4211780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101708 = 763*b - 2927*b for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 641401110 a multiple of 126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -354442 from 67.4.\nAnswer: 354509.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 164075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1330.1157 - 1330. What is b rounded to two decimal places?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 43. Let x(n) = 3*n + 16. Let h = 1104 + -1115. Let b be x(h). Is z less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1914*h - 5662 = 939*h + 1071*h + 98 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1395398 to the nearest integer?\nAnswer: 1181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + 2. Let t(k) = -4*k**3 + 3*k**2 - 17*k - 13. Let p(o) = o**3 - o**2 + 4*o + 3. Let j(r) = -9*p(r) - 2*t(r). Determine j(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (8 - -4) - 3*57\/(-9)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 10*a**2 - 2*a + 9. Let f be j(4). Suppose 17 = -8*y + f. Suppose 2*n = 3*n - 7. What is the remainder when y is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 325263 is divided by 102.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {y: 2, n: 3, j: 4, p: 4, q: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-72972)\/(-15))\/3 + (-12)\/(-30).\nAnswer: 2, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -2\/3805 (c) 3 (d) 5\/6 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g + 1261 = 1261 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2301678855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -1414*c**3 - 2*c**2 - 44*c - 323. Is g(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - 3*q**2 + 2*q - 1. Let b(i) = -2*i**3 + 4*i**2 - 3*i + 2. Let f be 2 - (2 + -3 - 0). Calculate f*t(y) + 2*b(y).\nAnswer: 2*y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -34*v**2. Let n(o) be the third derivative of 6*o + 0 + 1\/30*o**5 + 0*o**4 + 5*o**2 + 0*o**3. Determine q(n(d)).\nAnswer: -136*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23*h**2 - 283*h - 6434. Determine t(24).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1143343 is divided by 67254?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of i**3*p**2 + 266*i**3*p - 6*i**3 + 11*i**2*p**2 + 87*i*p**2 wrt i.\nAnswer: 6*p**2 + 1596*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8128711 divided by 6.\nAnswer: -8128711\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 - 261 = 110*z + 365. Put -6, 1\/18, z in descending order.\nAnswer: 1\/18, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197146*r - 197136*r - 250 = 0 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 31 (b) 599 (c) -34\/11 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 37 = -5*a, 3*a + 5*u - 1 = 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**29*k**(1\/24) assuming k is positive.\nAnswer: k**(697\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/2)\/(-12)*(-5)\/((-195)\/24).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-2))\/(-5)*1064\/(-114)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24288 and 3408669.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of (-26469)\/(-68) + (-2)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 13, 4, -10, -7, -8 in increasing order.\nAnswer: -10, -8, -7, -4, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -2*k + 229 - 273, r - 10 = 0. Let q(z) = -z**3 - 11*z**2 - 9*z + 9. Let x be q(-10). Sort 0, x, -3, k.\nAnswer: -3, k, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 25 = -3. Let b = -47768 - 101824. Let f be (-4)\/y + b\/44. Round f to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/8 + 132495*u**3\/4 - 2649993*u**2\/8 + 927509*u\/4 + 596250 = 0.\nAnswer: -265000, -1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.6, -2\/9, -93?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -341004 divided by -85251?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -25. Suppose -2 = 3*l - 14. What is the least common multiple of l and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -0.02 (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 46797404?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w**3 - 26*w**3 - 2*w**3)*(18 + 35 + 10).\nAnswer: -945*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 207?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15588528 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 996*r - 3988*r + 993*r + 3*r**3 + 1002*r + 997*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 4*a**2 - a + 9. Let y be h(4). Suppose p + 4 = y*z - 13, 3*z - 3*p = 15. Solve 0 = -2*i - z*i + 25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5 + 1 - -3) + 10. Suppose -10*d + 3 = -l*d. Find the third derivative of -3*h**2 - 6*h**2 - 8*h**2 + 5*h**2 + 2*h**d wrt h.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54 - -54. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*t = 6, 3*z - 4*t = 5 + 4. What is the second derivative of r**z - 3*r**3 + 0*r**3 - 3*r wrt r?\nAnswer: -12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -74*w + 1. Let u be x(3). Let y(t) = 49*t - 26. Let k be y(4). Let n be 54\/k + 26\/u. What is the closest to -1\/4 in -2\/7, 5, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*y = 24*y + 15452. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 204 = 5*y, 4*w = -w - 3*y + 340. Let m(f) = -f**3 - 21*f**2 - 16*f + 117. Calculate the remainder when w is divided by m(-20).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14217044?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 2618\/170 + (-8)\/20?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 6:49 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**2. Let i(y) = 7202*y - 195. Let o(h) = -225*h + 6. Let t(r) = -2*i(r) - 65*o(r). Give w(t(k)).\nAnswer: 97682*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.3 + -1.3. Let m = 10 - i. Let q = 19 - 33\/2. Put -1\/5, q, m in descending order.\nAnswer: m, q, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 12*b = 0. Suppose -2*c + b*c = -170. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -807 + 852. Suppose -2*a - n = -2*x - 7*a, 4*x - 5*a = 45. What is the third smallest value in 0, -2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 9991 = 2*w + 13991, -3*c = -w - 35981. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = -21 + 31 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -26. Suppose o*z - 156 = 96. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16465569 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 1. Let r(m) = -2*m + 1. Let z(g) = -2*r(g) - 2*w(g). Let j(k) be the third derivative of k**5\/5 - 46*k**2 - 6. Calculate j(z(u)).\nAnswer: 48*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 546704.\nAnswer: 2, 47, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.457 + 0.817. Let k = f - -2.64. Which is the closest to -1\/4? (a) -2 (b) -10 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -1\/6*g**2 - 1\/9*g**3 + 1\/15*g**5 + 0*g - 2 + 1\/12*g**4. Find v, given that t(v) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3851, -3863, -3885, -3917?\n\"Answer: -5*s**2 + 3*s - 3849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148*c - 1720*c = 91776 for c.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 2. Suppose -3*t + 7*t - 6*t = 0. Which is the third biggest value? (a) 2\/9 (b) m (c) t (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1\/2 (c) -75 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 9*w + 8. Let u be t(-8). Suppose 0*x = -2*x. Let d = 2 + x. Sort -3, d, u.\nAnswer: -3, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 7628 = -7628. Let g(p) be the third derivative of -1\/720*p**6 - 1\/120*p**5 - 1\/72*p**4 + h*p + 0*p**3 + 0 + 7*p**2. Suppose g(f) = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (4 - (6 - -9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -4)\/((-6)\/(-12)). Let t(w) = -2*w**2 + 9 + 3*w - h*w + w**3 - 5. Give t(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4)*7\/(-2*98).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.076720205 take away -0.1?\nAnswer: 0.023279795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -463d (base 15) to base 5\nAnswer: -434113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 + 57 + (23 - -5)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*15\/3)\/(355\/(-568))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 331 = -48*k - 53. Sort k, 2, 34 in decreasing order.\nAnswer: 34, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/341 and -14\/1581?\nAnswer: 17391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(156)\/sqrt(3))\/sqrt(4).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 103, -5 in descending order.\nAnswer: 103, 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of s**7\/5040 + s**6\/360 + s**5\/4 + 29*s**2. Let w(l) be the third derivative of t(l). Give w(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcgd when four letters picked without replacement from jpjjjgdjpcggjgg.\nAnswer: 1\/3276","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**3 + 15*b**2 + 7*b + 9. Let d be o(7). Let l = 213 - d. Calculate the remainder when l is divided by 35\/(-5) - -11 - -1*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvbvvvb. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + 55. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-35)\/((f*f**5*f)\/(f*f**(-3)*f*f)))\/((f\/(f\/(f**(2\/7)*f)))\/(f\/(((f*f**(-2\/17))\/f)\/f)))**(-1) assuming f is positive.\nAnswer: f**(-5097\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/(-21) - (-32)\/6. Suppose -81670 = w*i - 0*i. Let z = i - 28666. Round z to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 42*c - 24. Suppose -3*i + 5*h = -8, -4 = -4*i + 2*h + 2. Calculate the least common multiple of r(i) and 96.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 61 and 152976715?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -260*x**2 + 1920*x - 1916. Let n(p) = -488*p**2 + 3840*p - 3832. Let f(z) = -15*l(z) + 8*n(z). Let f(g) = 0. What is g?\nAnswer: 1, 479","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 - 5. Let p(y) = -2*y**3 - 72*y**2 + 39*y + 1414. Let t be p(-36). Sort t, 4, g, 2 in increasing order.\nAnswer: g, 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 57*j + 10. Let f(c) = 64*c + 11. What is 5*f(q) - 6*x(q)?\nAnswer: -22*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.117, -1\/3, 1, 4, -0.1, 12?\nAnswer: -1.117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1080) + -2*sqrt(1080)*-1 - sqrt(1080))\/(sqrt(50)\/(sqrt(5) - -2*sqrt(5)) + sqrt(10) + ((sqrt(150)\/sqrt(3) - sqrt(50)) + sqrt(50))\/sqrt(5)).\nAnswer: 72*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26147, 52284, 78401, 104486, 130527, 156512, 182429, 208266?\nAnswer: 234011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5\/4, 0.3, 160, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1489099 divided by -27.\nAnswer: -1489099\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 42326*v - 6*v**2 + 42326*v.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 - 111 - -31 - 154.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103 + 174. Suppose -p = 10*c - 911. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2015124 is divided by 349.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -23*t**3 - 138*t**2 - 344*t - 141. Calculate f(-2).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 6286.1821 and -1.\nAnswer: 6285.1821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*15*(-53)\/159?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.54 + -56\nAnswer: -57.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 21*y**2 + 18*y + 18. Let x(m) = m + 0*m**2 - 2 + m**2 + 3. Suppose -5*n = -19*r + 14*r, -r - 3*n - 4 = 0. Determine r*p(t) + 18*x(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 7378.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f - 6. Let g be 4*(1 + (-56)\/32). Let b(o) = 5*o + 14. Let m(u) = g*b(u) - 7*l(u). Let x(i) = -i**2 - 4. Calculate m(x(c)).\nAnswer: c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*y + 6 = -3*y, 2*a - 3*y - 24 = 0. Let c be 451 + 2 + a + -4. Let w = 1366 - c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**4\/7 - 312*i**3 - 582966*i**2\/7 + 7253280*i\/7 - 16454016\/7 = 0.\nAnswer: -552, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -167\/42 and -121\/388668?\nAnswer: 388668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*g - 64*g - 80*g + 6028 for g.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*h + 2*h - 3*h)*(8 - 5*h - 7 + 11*h).\nAnswer: 36*h**2 + 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -111718.9028 - -111740. What is p rounded to one dp?\nAnswer: 21.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/9 (b) -0.3 (c) 10 (d) 39\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30013001100 - 2132?\nAnswer: -30013003232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -6*q - 33. What is the biggest value in q, 2\/9, -2, -4\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 658, 657, 658, 661?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264553, 529103, 793653?\nAnswer: 1058203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1828 is divided by 1800?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 2*a - 27837, -5*w - 139200 = a + 4*a. Is (-54)\/(-297) - w\/11 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 368, -9, 3?\nAnswer: 368","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + 0. Suppose y + 0*q = -3*q + 30, i*q = 4. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -279 - -2576\/9. Let a = 23 - 43. Let y = a + 11. Calculate the common denominator of y and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -3, 2\/3, -22, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -0.2, -24, 4 in decreasing order.\nAnswer: 4, 1, 0, -0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58621 divided by 6.\nAnswer: 58621\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -30*y + 14. Let x(w) = -6*w + 3. Let g(h) = -3*a(h) + 14*x(h). Let m(s) = -5*s. Determine g(m(j)).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2737 and 34?\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 281614.6l in millilitres?\nAnswer: 281614600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 - -1) + (-2)\/(-2) + 0. Suppose 10*b**2 - 5 + 3*b**3 - 8*b - q + b**3 = 0. Calculate b.\nAnswer: -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 48*y**2 - 26*y - 49. Is 74 a factor of o(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 7:21 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*t - 4, -6*t = -4*o - 4*t - 8. Let n = o - -4. Let x(y) = -2*y - 1. Let b(d) = 2*d. Let p = -12995 + 12998. Determine n*x(f) + p*b(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4253, -8540, -12861, -17216, -21605, -26028?\n\"Answer: -17*n**2 - 4236*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**5\/5 + 129*i**4\/5 + 981*i**3\/5 - 1041*i**2\/5 - 26232*i\/5 - 11088 = 0. Calculate i.\nAnswer: -33, -7, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 10*n**2 + 25*n - 15. Let y be x(12). Let s(o) = 16*o - 7. Let d be s(y). Is 4\/(-2 + -2)*d a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 2 g, and 1 r when four letters picked without replacement from jiiirjiiijaiggj.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(-5)\/(-4)*(-4392)\/3660?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -63029\/29 at most as big as -2174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 14 = -38. Let c(v) = -6*v + 37. Let p be c(m). Solve x + p = -4*r, -4*r + 4*x = 15 + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**8\/112 - 33*h**7\/280 + 23*h**6\/40 - 109*h**5\/80 + 27*h**4\/16 - h**3 + 153*h**2. Find r such that m(r) = 0.\nAnswer: 1\/4, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f - 44*f**2 - 36*f + 48*f.\nAnswer: -44*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 22180?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -10*z**2. Let v(g) = 19091474*g. Determine v(a(c)).\nAnswer: -190914740*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*w + 3*w + 8*w to x*w + q and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53.392 - 53. Let y = -0.3920281 + m. What is y rounded to 6 decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4 + c + 4. Let q(j) = -3*j - j + 6*j - 3*j. Give q(t(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 510, 765, 1020, 1275, 1530?\nAnswer: 1785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 5:04 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 8*o**3 - 17*o**2 + 17*o - 17. Suppose -4*i + 49 = 3*n - 5*i, 30 = 2*n - 2*i. Let h(p) = -3*p**3 + 6*p**2 - 6*p + 6. Determine n*h(j) + 6*t(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(((i**(2\/39)\/i)\/i)\/i)*i**20*i*((i\/(i\/(i**(3\/2)*i*i)*i)*i)\/i*i)\/i*i\/i**(-16\/3)*i assuming i is positive.\nAnswer: i**(2713\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0574 - -2.9426. Let v = 49\/2 + -24. Which is the fourth smallest value? (a) v (b) n (c) 1\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_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: Collect the terms in -237*l - 4 + 9 - 2 + 399*l.\nAnswer: 162*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 1:24 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.6 - -3.6. Let w = b + 16.1. Let s = w + 1. Round s to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/3*(-18)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - 11*q**2 + 10*q + 18. Let k be r(-12). Let o = -130\/7 + 449\/14. Find the common denominator of o and (9\/7)\/(12\/k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5\/6 - -7\/6. Let z = -0.11 + 0.66. Let d = z - 0.05. What is the second biggest value in t, d, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.29979097 + -10.6297894. Let u = p + -0.67. Round u to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6*(-2)\/6*-2. Let z be 1 - 2 - 2\/(-4)*6. Put z, d, -3 in ascending order.\nAnswer: d, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**4 - 5361*d**3 - 3133650*d**2 - 596120652*d - 592992360 = 0. Calculate d.\nAnswer: -678, -430, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 + 2.5. Let l = 554 - 2793\/5. Let k = l + 5. What is the second biggest value in -1, k, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193635992.\nAnswer: 2, 11, 19, 115811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/70)\/1)\/(82\/(-14))\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of 0*n**3 + 0*n**4 - n**2 + 2*n + 0 - 1\/60*n**5. Let z(d) be the first derivative of x(d). Let l(g) = -g**2. Give l(z(a)).\nAnswer: -a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1028 - 922. What is the remainder when 952 is divided by h?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by 4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -53005 (base 9) to base 12\nAnswer: -18305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79550249 is divided by 150.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 9*m = -60 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 343*x**2 + 2*x. Let h be v(-2). Suppose -7890 = -2*i - h. Let d = i + -26137\/8. Find the common denominator of d and 101\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6330 and 20738135?\nAnswer: 1055","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 303*y**2 - 627*y**2 + 663 - 2*y**3 + 418*y - 285 + 362*y**2 = 0?\nAnswer: -7, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52292 and 6052.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 3*a**2 + a + 2. Let b(i) = -7*i**2 + 2*i**2 + 48*i**3 + 2 - 47*i**3. Let v be b(5). Give u(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5314 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 3 - (11 + -13 + 14)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b**2. Let o(f) = 207*f**2. Give m(o(z)).\nAnswer: 257094*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 <= -117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2\/6 - 229*s\/2 + 17442 = 0.\nAnswer: 228, 459","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -106*i**2 - 3*i + 29. Let p(j) = -213*j**2 - 5*j + 58. Let f(c) = 7*g(c) - 4*p(c). What is the second derivative of f(r) wrt r?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 7*y - u + 122 = 0, 160 = 5*y + 5*u. Let x be (3\/(y\/8))\/((-612)\/(-510)). Which is the smallest value? (a) x (b) -0.156 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41236 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109741047 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6. Suppose d - b - 3 + 5 = m, -4 = -4*d - 2*b. Let o be d\/3 + 50\/2. Solve f + 4*f = o for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8037893*q**4 + q**3 - 4*q**2 - q + 74221 wrt q.\nAnswer: 192909432*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 111, 153, 179, 183?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11120102 + -2?\nAnswer: -11120111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(1\/3))**(-13)*((m**1\/m*m)\/m)**(-9\/5))**(5\/4) assuming m is positive.\nAnswer: m**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*f + 15*f - 4 = 0. Let q be f + 1 - 6\/(-114). Is 0.1 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -231.9 + 232. Let s = -64\/19 + 761\/209. Put s, w, -4 in descending order.\nAnswer: s, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 722592?\nAnswer: 2, 3, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -2236\/81 smaller than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 39*g**3 + g**2*x - g*x - 4*g - x wrt g.\nAnswer: 234*g + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-210))\/((-6)\/9).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/124335?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**3 - 38755*y**2 - 5879335*y - 225213065.\nAnswer: -5*(y + 77)**2*(y + 7597)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673.8764l to millilitres.\nAnswer: 673876.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2664\/(-5920))\/(1\/4).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6582, 26366, 59348, 105528?\n\"Answer: 6599*d**2 - 13*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 10:33 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 11:11 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -1. Let b(r) = -r**3 - 5*r**2 - r - 2. Calculate the remainder when c is divided by b(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 64 = 4*i. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1065 = -182*m + 111*m for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c, c + 115 = -5*y - 2*c. Let f(r) = r**2 - 11*r - 35. Let o be f(15). Let b = y + o. 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 -252.948448 rounded to the nearest ten?\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225570549 - 225570549 - 3*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**5 - 223684*y**4 + 447373*y**3 + 223684*y**2 - 447372*y = 0.\nAnswer: -223686, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112)*-3 + 3)*2)**2.\nAnswer: -288*sqrt(7) + 4068","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 57 (b) -0.05 (c) -0.7 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2*w + 37. Suppose -3*j = -w - 8. Let x = j - 8. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3483\/515 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6332455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6688057681 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4 - 68*x**3 + 144*x**2 = 0?\nAnswer: -36, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.6 - 23.4. Let b = r + 30.000091. What is b rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + 5 + (5 - 2) + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let u = -0.905 - -0.905. Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 701?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/14 and 297\/(-42) + 0 - -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d*q**3 - 509*d*q - q**4 + 2*q**2 - q wrt q.\nAnswer: 36*d*q - 12*q**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 2*t + 3. Let h be z(4). Let i(r) = r**2 - r + 10. What is the least common multiple of i(h) and 12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. What is the least common multiple of 2 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = h - 4*h, -5*b = h. Let l = -4.01 + 0.01. What is the third biggest value in 1\/6, l, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 362, 804, 1422?\nAnswer: 2216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s + s**2)*(-30*s + 89*s - 323*s).\nAnswer: -264*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2018939662?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 13*y - 4. Let m(h) = h**2 - h - 1. Calculate -3*m(a) + r(a).\nAnswer: -2*a**2 - 10*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from uvgnvngngqug?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmm. Give prob of picking 3 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 13 (b) 0 (c) -2\/19 (d) -1 (e) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in 411, -1981, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155284313 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16308957 and 48321.\nAnswer: 1239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/(-10))\/(5\/25) - -8. Suppose -s*r + 8*r - 375 = 0. What is the second derivative of 4*l + 122*l**4 + 8*l - r*l**4 wrt l?\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15\/2 + -7. Which is the nearest to t? (a) 3 (b) -1\/4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9545126 or 19090249\/2?\nAnswer: 19090249\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + 5*w - 4. Let s be n(4). Suppose s*h = -3*h. Suppose -v + 5*v - 12 = h. Solve 4*x - 16 = -2*m - x, -m - 3 = -v*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -4 (b) -1\/3 (c) 0.057782\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c**1\/c*c*c)*c)\/c)\/c*c\/(c*c\/(c*c**(1\/8))))**3\/((c*c*c\/(c\/c**(-2\/5))*c)**(-1\/5)*(c\/c**(2\/17))\/(c*c**(-3\/8)\/c*c)) assuming c is positive.\nAnswer: c**(-3554\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -59*r - 14. List the prime factors of q(-10).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 - 118 - (3 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -19? (a) 0 (b) -2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2927583 = 4*d - 752417. Round d to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2313 + 11?\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - -40220?\nAnswer: 40222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 - 12*w + 4. Suppose 18*h = 2*h + 96. Let d be t(h). Solve 3*v = -3*f - 12, -d*f - 5 = 5*v - 2*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19321908 - 0.4.\nAnswer: 19321907.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-13 + 3)) + (-22 - -9) + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 18 = -0*h. Let y be 1\/h + 94\/12. Suppose -b = -3*b + y. Solve -b*l = -5*k, 4*l + k - 3 - 21 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, i: 3, t: 7, p: 2, d: 2}. What is prob of sequence pi?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 20517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.837 days in seconds?\nAnswer: 53121916.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1244035153?\nAnswer: 1244035153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s + s + 2*s)*(1 - 1 + 1) + s + 0*s + 0*s - 3 + 3*s + 3 + (5 - 4 + 0)*(0*s - 4*s + 2*s) + (3 - 6 + 2)*(0*s - 6*s + 4*s).\nAnswer: 26*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 186.393070753 + -0.392513753. Let p = -186 + w. What is p rounded to 5 dps?\nAnswer: 0.00056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -499.514 - -500. Let v = -25 - -25.014. Let w = l + v. Are -2 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - q + (0 + 3 - 4)*(q - 4*q - 2*q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/792*63*-1*(-16)\/(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -224, 13, 2\/45, 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 312011203 (base 4) to base 9\nAnswer: 366804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 9:38 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5953 + -0.0953. Suppose -2*b = -36 + 10. Sort b, 0.3, y in decreasing order.\nAnswer: b, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 21. Let x be 12\/t - 20\/(-25). Suppose 5*q = -x*q + 15. Solve 4*c = 20, q*g + 5*c - 34 = -0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1352 is divided by 223?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 224\/3 - 2\/3*m**2 - 74*m = 0. What is m?\nAnswer: -112, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8, 13, 20, 29, 40?\n\"Answer: b**2 + 2*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2 + 6*d - 4. Let g be x(1). Solve -q - s = -1, 4*q = -g*q - s + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 4*j**2 - 11360*j + 22722. Calculate s(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*c**2 - 98 + 28*c**2 + 102 + 21*c**2 - 67*c**2.\nAnswer: 3*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9}. Give prob of picking 3 i.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 2*b - 5572, 3352 = 3*z - 9*b + 8*b. Suppose 4*t + 4*j = z, t = j + 362 - 81. Is t a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83 - -101. Let x = 3 - 3.1. Which is smaller: z or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31934 - 2537661.2.\nAnswer: -2569595.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 158*u + 5530. What are the prime factors of b(12)?\nAnswer: 2, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48620424 is divided by 16206799.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.662887kg?\nAnswer: 9662.887","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.54 and 0.07177?\nAnswer: 0.61177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = 4*m - 2*a, 0 = -162*m + 161*m + 5*a + 76. Solve 98 + m = 24*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5310*j + 46014 + 104925 = -1567*j + 16191 for j.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 277*n**2 + 921*n + 6394. Does 13 divide o(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2216?\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n - 12. Suppose 2*g + 3*c - 5 = 4*c, -c = 2*g - 15. Suppose -4*l - 14 = x - 2*x, g*l + 2*x = -11. Sort n, -2, l in increasing order.\nAnswer: n, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-196)\/1862)\/(3\/(-684))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 15 = 0, -9*s + 5*b - 18 + 54 = -16 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7\/326 + 78\/163. Let w(i) be the first derivative of b*i**2 - 7 - 5*i. Give w(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1545 - -1544.90032. Let y = -7 + 6.9. Let z = y - q. What is z rounded to four decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, u: 5, g: 4, v: 1, k: 2, j: 1}. What is prob of picking 1 v and 1 u?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*h + 336*h + 437*h - 9*h + 61692 = 0 for h.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/19)*r*r**(-17))**(-50) assuming r is positive.\nAnswer: r**(14900\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*w - 1 = w, 0 = -2*w + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24857965?\nAnswer: 5, 11, 137, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -0.004133?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -16 smaller than -41767\/2516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 20405529.49 rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 18. Let k = -8 - n. Solve 0 = 2*d - 2*j - k, -3 - 1 = 3*d + 4*j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1742*s - 1736*s - s**2 + 4*s**2)*(2 - 2 + 3*s).\nAnswer: 9*s**3 + 18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 30 + 10*p + 6*p**2 - 7*p - 17*p. Is r(3) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 2*u**2 - 2*u + 2. Let i be b(-2). Solve -6 - i = 4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r**2 + 4*r**3 + 0 + 0. Let l(v) = 19*v**2 - 5*v**3 - 14*v**2 + 14*v**3. Let h(p) = 3*l(p) - 7*t(p). What is the third derivative of h(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 1 (b) 9 (c) -4 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 227, 441, 653, 863, 1071, 1277?\nAnswer: 1481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -39. Suppose 4*c - a*z = -5*z + 968, 3*z + 726 = 3*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2610971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -68, -136, -204, -272, -340?\nAnswer: -408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -30*a**3 + a**2 - 3*a - 13. Let w be x(-3). Suppose 9*c = -w + 248. Let r = c + 141. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -32. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oorooryrboyrobbboe. Give prob of sequence byo.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 20*k + 38 + 50 + 3.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49989 to the nearest integer?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -49, -3 in descending order.\nAnswer: -3, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the first derivative of 4*o**5\/5 + 91*o**3\/3 + o**2\/2 - 51*o + 256. What is the second derivative of j(n) wrt n?\nAnswer: 48*n**2 + 182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111 + 159. Let b be s\/27 + 9\/((-243)\/(-6)). Solve 4*m - 8 = b*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p + 6*p - 12087 + 8*p - p.\nAnswer: 10*p - 12087","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zizxiizxxnz. What is prob of sequence zz?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20335 + 35788. What is m rounded to the nearest one hundred?\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27069 - 27080 - 2*r**3 - 20*r**3 + 54149.\nAnswer: -22*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -267*w - 6928. Let l = 8 - -73. What is the remainder when l is divided by r(-26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - (-18518)\/(-10))*234\/590058. Let w = f - 24\/1115. Find the common denominator of w and -75\/112.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 61?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15129 = -135*k + 10*k - 43*k - 201*k for k.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - -2 - (0 + 25\/(-20)). What is the third biggest value in f, 0.4, -1\/3, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4504 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0205, 0.22, -4, -2\/9, 1, 3 in decreasing order.\nAnswer: 3, 1, 0.22, -0.0205, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = 0, 10 = -5*g + 2*h. Let l = -17.258 + 18.258. Which is the nearest to g? (a) -3\/2 (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 2*f**2. Let h(r) = -r**2 - 8*r - 5. Let j be h(-7). Let q(m) = 0*m**2 + 15*m**j - 8*m**2. Calculate q(d(t)).\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**3 + 139*w**2 + 3568*w - 44100.\nAnswer: (w - 9)*(w + 50)*(w + 98)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79336 and 1128.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6606413 (base 9) to base 14.\nAnswer: 684c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z\/(z*z**5\/z))\/z)\/z)*z*z**(-1\/4))**(-36) assuming z is positive.\nAnswer: z**(-279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzz when three letters picked without replacement from {z: 11, f: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5\/2*(-1 + (-9)\/(-3)). Solve 6 + 4 = u*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, -0.08, 2\/5 in ascending order.\nAnswer: -0.08, 0.1, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 7 - (0 + 8 - 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69108 is divided by 270.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33.1 + 30. Let g = -3 - n. Which is the closest to g? (a) 0.1 (b) 5 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 52 - 44. What is the smallest common multiple of u and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 820533239.99999958 - 820533288. Let x = h - -48. Round x to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1484.584 to the nearest 100.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 2*p = -12*q + 30, 5*q - 50 = 5*p for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 373529 to the power of 1\/3, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s**2 - 13*s + 70. Give d(6).\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 951 + -929. Solve -v + 13 = -3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - -67 - (1 + (5 - 3) + 1 + -60)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/1798496 and -87\/28.\nAnswer: 1798496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -29035.\nAnswer: 4\/29035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g + 5. Let a be c(3). Suppose -2 = 2*w + 4*q, w + a*q = 2*w - 7. Let p(l) = -l + 5. Let h be p(5). Solve h = -w*o - o + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 48 or 247\/5?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2 - 8*f - 8. Let v be i(-6). Let g be v\/189 + 8\/28. Let m(x) = x**2 + 6*x + 6. Let a be m(-5). Which is smaller: a or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**4*n*n**4\/n*(((n**3*n)\/n)\/n*n)\/n**(-5\/3)*(n**(-4)*n\/(n**(1\/3)*n*n))\/((n\/(n\/(n*n**(-3\/7)*n)))\/n*n*n**(-3)) assuming n is positive.\nAnswer: n**(37\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1323884069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -m**7\/70 + m**6\/40 + m**5\/10 + 5*m**2. Factor f(k).\nAnswer: -3*k**2*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of 0*p**2 - 11\/5*p**5 + 0*p**4 - 15 + 0*p - 4\/3*p**3. What is the third derivative of v(d) wrt d?\nAnswer: -264*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -660999593.\nAnswer: 660999598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 0 (d) -1729 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*u - 5*s, u = -u + 2*s - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074106559 take away 0.5?\nAnswer: -0.425893441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*p**4*y + 2*p**4 - 3*p**3*y - 27*p**3 + 2*p**2*y - 118*p**2 - 3*p*y wrt p.\nAnswer: -48*p*y + 48*p - 18*y - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**34\/(s\/s**(1\/63)))\/(s**(-21)\/(s\/((s\/(s*(s**(-2\/41)\/s)\/s))\/s))))**(-45) assuming s is positive.\nAnswer: s**(-696985\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 w when four letters picked without replacement from wwwrkhkwwhhrwkw?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 725 divide 13761225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 155 = -4*b - 2*i, 5*b = -5*i + 195. Calculate the smallest common multiple of (-8 + 0)*(-335)\/67 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 348253\/58540 - (6 - 1\/1). Let h = 77961 + -228191850\/2927. Let r = h - p. Find the common denominator of r and -143\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -25*v. Let j(n) be the third derivative of -n**5\/60 - 17*n**2. Give m(j(w)).\nAnswer: 25*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6580339 - 6580339 - 5*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**3 - 8 + 35*g**3 - 42*g**3 - 4*g - 2*g**2 - 2*g**4 - 7*g**4 as o*g + h*g**4 + j*g**2 + i + y*g**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 2\/11 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4271 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 89153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*y - 168, d - 104 = 4*d - 4*y. What is the units digit of (1 - 343\/(-14))\/((-6)\/d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1192629, -1192639, -1192649, -1192659, -1192669, -1192679?\nAnswer: -1192689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - -2.924. Let r = -0.112 + i. Let m = r + 0.18800091. What is m rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -u**3 - 139*u**2 - 1184*u - 1820 = 0.\nAnswer: -130, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let s(c) be the first derivative of 0*c + 0*c**2 + 2\/3*c**3 - 4. Determine s(m(o)).\nAnswer: 2*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*t**2 + 38*t**2 + 2476*t - 2475*t wrt t?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13*(4 - (-35)\/(-10))*-2. Suppose 0 = l*a - 144 - 168. Is a a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1 - 2 - 3 + 0 + (-1 - 2 + 1)*(-6 + 3 + 1))*(3*i - 5*i + 0*i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -75002 - -458255677?\nAnswer: 458180675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.144 * -0.4\nAnswer: 0.0576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/33)\/(3956\/946)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**2. Let a(w) = -5*w - 2. Let y(v) be the third derivative of 7*v**4\/8 + 3*v**3\/2 + 31*v**2. Let f(u) = -9*a(u) - 2*y(u). Calculate z(f(g)).\nAnswer: -63*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1479348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2070)\/(-210))\/23)\/(-1) - (-19)\/(-70)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 39 and 5055013?\nAnswer: 5054974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 254359484 a multiple of 1549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17 - 1*-2) + 10\/(-5). Let w(k) = 29*k**2 + k + 1. Let b be w(2). What is the highest common factor of b and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by 7.\nAnswer: -38\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -5*t + 38. Let i be m(9). Let c(l) = -l**2 - 7*l - 4. Calculate c(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s = -3*s. Let m(b) be the first derivative of 0*b**2 + 4 + 1\/2*b**4 + 5\/3*b**3 + s*b. What is the third derivative of m(v) wrt v?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - 12\/((-18)\/(-3)). Let s(i) be the first derivative of -3 + 4\/3*i**t + 0*i + 0*i**2 - 1\/4*i**4. Find the third derivative of s(a) wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 - -54?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h - 393 = -5*j, 0 = -5*j - 5*h + 385. Calculate the remainder when j is divided by ((-54)\/(-8))\/(3\/12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/65 and 200\/(-18) + (-16)\/(-13 + 9).\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -791 - -790.683. Let k = 13.383 - g. Let v = 13 - k. Is v > -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 13 = -3*k, k - 3 = 4*d - 4. Suppose 3*y = 8*y - k*q - 6599, -2*q = -4. What is the third derivative of -y - 3*h**6 - 22*h**2 + 1321 wrt h?\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2545560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = -0*b. Let w(v) = -v**3 - 11*v**2 + 5. Let n be w(-11). Suppose -5*l = -7*a + 3*a - 20, -n*l = 4*a - 20. Put -2, b, a in descending order.\nAnswer: b, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33753*0.15\nAnswer: -5062.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 21 + 11 - 20 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/42 - 2270\/(-4767) - ((-1500)\/(-28) + -4)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s**3 - 31*s**3 - 671849 - 5*s**2 + 671850 - 5*s**4 - 30*s**3 - s**2 to the form q*s**2 + m*s + y*s**4 + l + b*s**3 and give b.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-64 + 129 - 67 - 47*h)*(-1 + 0 - 2)*(2*h - 3*h + 0*h) as t*h**2 + p*h + z and give t.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b (base 15) to base 6.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*v - 11*v + 25*v - 238020 = 0. Calculate the remainder when v is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 73*w**2 + 2315*w - 1198. Determine s(-97).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 10*q**2 - 11*q - 12. Let x be v(10). Let i be x\/(-4) + (-6)\/(-12). Suppose -h + 2 + i = 0. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*b + 18 = 0. Let h(a) = -10*a - 4 - a**3 - 1 - 7*a**2 - 1. What is the lowest common multiple of 6 and h(b)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*l - 437*l + 26*l - 301*l - 317*l in the form c + k*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -65246.775 times 1?\nAnswer: -65246.775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/8256 and 13\/704?\nAnswer: 90816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*(-2 + (-1680)\/(-832)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689687150 a multiple of 3261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27208 divided by 19.\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 b, and 1 w when three letters picked without replacement from ecwcrwcrbrwrw.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 5:07 PM?\nAnswer: 7:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21975?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 76960.01 milliseconds?\nAnswer: 76960010000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - ((-2 - -1) + 10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - n - 1 = 3*h, 2*h = 5*n - 23. Let a = 166 + -665\/4. Put 1\/5, a, h in descending order.\nAnswer: 1\/5, a, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + ((sqrt(432) - (((sqrt(432)*2)**2 - sqrt(432)) + sqrt(432))) + sqrt(3) + -3)*6)*-4.\nAnswer: -312*sqrt(3) + 41524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -66 - 8*d - 61 + 43. Let x be u(-13). Calculate the highest common factor of 80 and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/331 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*w - 1089 = 1118*w - 2168*w for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 216022719 is divided by 151.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + z - 126 = 0. Let j = z + 29. List the prime factors of j.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*25537\nAnswer: 383055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200047 or 200049?\nAnswer: 200049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/17 + 42*o**3\/17 + 78*o**2\/17 + 38*o\/17.\nAnswer: 2*o*(o + 1)**2*(o + 19)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(-1)\/(((d\/d**(1\/30)*d)\/d)\/(d**13\/d)) assuming d is positive.\nAnswer: d**(173\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 9:20 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((360\/14)\/9)\/(18\/21 - 1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.09312 and -0.5?\nAnswer: -0.04656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 67*i**3 - 2*i**2 + 9*i + 15. Let w be u(-2). Let b = w + 546. Do b and -19\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 77875*i + 45140580.\nAnswer: 5*(i - 14972)*(i - 603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - -9. Let d = -23 + c. Let z = 0.69 - 0.89. What is the nearest to -1 in d, z, 1\/10?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(2 - 1)*-4. Suppose -4*z = 5*j + 2 + 9, 0 = -3*j - 3*z - 9. Solve -j - 3 = -i*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 121 = -p - 50, 101 = -4*n - 5*p. Is n at most as big as -132\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Let z(f) = 3 + 26*f**2 + 0 - 39*f**2 + 32*f**2 - 5*f. What are the prime factors of z(l)?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/210312 and -81\/920?\nAnswer: 1051560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - 12 + 2*i - 4*i + 15 - 7*i. Give x(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -15002*a**3 - 74976*a**2 + 170*a = 0.\nAnswer: -5, 0, 17\/7501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - -104?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhxhyhhhhhhhhh. What is prob of picking 1 h and 1 y?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/59646 and -5\/6322476.\nAnswer: 6322476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -3714151 to the nearest 1000.\nAnswer: -3714000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let t be (0\/((6 - 4)*1))\/2. Solve 2*y - 3*k = -t*k + 1, 0 = -2*y + k - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -3515?\nAnswer: -3518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 5717 divide 577711057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 7. Suppose -k + v*k - 80 = 0. Solve 0 = -4*x + 3*j - 13, 4*x + k = -2*j + 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11694 or -11687?\nAnswer: -11694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 29.2 (b) 0.05 (c) 1874\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2032 or 10159\/5?\nAnswer: 10159\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 AM and 11:42 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, e: 5, z: 4, t: 1}. Give prob of sequence est.\nAnswer: 5\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2\/4 + 86876319*i - 347505279\/4.\nAnswer: 3*(i - 1)*(i + 115835093)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2*10\/(-14)*(-161)\/(-138)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (8 + 10 + -24 + 16)) + (9 - 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 2*q = -398, q = -2*m - m + 239. What is the greatest common divisor of 120 and m?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12)\/((-2)\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -50\/11*c**2 - 72\/11 + 18\/11*c**3 - 336\/11*c.\nAnswer: 2*(c - 6)*(c + 3)*(9*c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 638 is divided by 211?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -323\nAnswer: 22.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 5*a - 6, -16*a + 19*a = -5*y - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 6:49 PM?\nAnswer: 9:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8 + -6 + 14 + 3 + -1. Let t = -0.48 - 0.02. Let d = t - -0.4. What is the closest to d in -0.2, -5, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -22 and 34495490613.\nAnswer: 34495490591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f*w + 2811*f - 1550*w wrt w?\nAnswer: -2*f - 1550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*k - 110 = 0. What is the greatest common divisor of k and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(6655) - (sqrt(6655) - -4*sqrt(6655)*2)))\/(4*((2*sqrt(33))\/sqrt(3) + (sqrt(396) - (-2*sqrt(396) + sqrt(396) + sqrt(396)) - sqrt(396)))).\nAnswer: -44*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from maaaemmeeammaeim. Give prob of picking 3 e.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -222 - -219. Let v = -4.6 + 5. Let a = -15 + 5. What is the second biggest value in s, v, a?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/7, -1\/3, -0.1, 22?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/4)\/(4410\/490)\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8732, -9063, -9512, -10079, -10764?\nAnswer: -11567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/30)\/((-4)\/(-15)*(-1638)\/936).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 720420?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 7:21 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*u + 21 = z, 0 = 4*u + 20. Calculate the greatest common factor of z and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1206 or 1207?\nAnswer: 1207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/3100 and (-4)\/(-118) - 99024\/(-169920)?\nAnswer: 9300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 16?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 2:52 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:25 PM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**2 + 575*s + 16360. Calculate n(-32).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 + 26. Let w(z) = 40*z**2 + 3*z + 3. Is w(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2518 - -65477\/26. Let j = 2\/13 + g. Which is the second smallest value? (a) 4\/5 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -3. Let n(h) be the second derivative of 0 + 0*h**2 + 1\/18*h**b - h + 0*h**3 + 1\/30*h**5. Factor n(o).\nAnswer: 2*o**2*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (499*w**4 + 1 - 434*w**4 + 1)*(3*w - w + 2*w).\nAnswer: 260*w**5 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3076150.0026 + 3076466. Let s = 316 - z. What is s rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t - 10. Let s be d(-12). Let f(m) be the second derivative of 0 - 1\/3*m**3 + s*m + 1\/2*m**2. What is the first derivative of f(w) wrt w?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*j - 21. Let q = 16 + j. Which is the closest to -0.1? (a) 0 (b) q (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -121 or -102?\nAnswer: -121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*i - 14280 = -25998 for i.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 4 - 28. Suppose r - 2 = 3*x. Suppose -5 = x*n + 3*n. What is the nearest to n in -0.2, 2\/15, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 133 - 3121232?\nAnswer: -3121033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 17*b**2 - 1242*b - 3883. Give p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**4\/5 + 48*h**3\/5 + 262*h**2\/5 - 312*h\/5 = 0.\nAnswer: -13, -12, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*t - 0. Let g = -7 + 11. Let a = 4 - 4.4. Sort g, t, a in decreasing order.\nAnswer: g, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/361? (a) -0.4 (b) 2\/311 (c) 0.8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z + 3*z + z + (-3 + 2 - 3)*(-5*z + 3*z - 6*z) in the form t*z + y and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 40.2776885 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/9 - 9742*q**4\/9 + 11838902*q**3\/9 + 59565230*q**2\/9 - 154608208*q\/9 + 83213816\/9 = 0. What is q?\nAnswer: -7, 1, 2438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-1)\/3)\/((-4)\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**6\/60 + 23*j**5\/60 + 13*j**4\/24 + 2*j**2. Let k(v) = 8*v + 18. Calculate the remainder when k(8) is divided by g(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 426\/(-6))*2\/4. Let h be 45\/10*(-6)\/c. What is the closest to 1 in -5, -11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1254 greater than -16471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/8 + -6*4443\/(-24))\/1. Solve -1104*b + y*b + 7 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219957485?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 + 2542790*i**2 + 2542775*i - 5085570 = 0?\nAnswer: -508557, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2. Let t(u) = 484330*u. Calculate f(t(b)).\nAnswer: -703726646700*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 70.384719133401.\nAnswer: 66.384719133401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 172997802 divided by 3?\nAnswer: 57665934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 17 = 4*r, -4*r - 1 = -3*r - 5*b. Suppose -30 + 38 = r*m. Solve 0 = -a - m - 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5507*i**2 + 18*i + 1378. Let w(y) = 11016*y**2 - 29*y - 2757. Let a(r) = 5*d(r) + 3*w(r). Find the second derivative of a(t) wrt t.\nAnswer: 11026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 187*t**2 + 805*t + 3991. Determine k(-5).\nAnswer: 4641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 + -29.6. What is the closest to -2\/7 in -1, 0.3, x?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419536622.\nAnswer: 2, 209768311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b*r**2*x - b*r**2 - 4*b*r*x + 1723*b*t**4 + 13*b - r**2*t*x - 2*r**2 + 4*t**2*x wrt t.\nAnswer: 6892*b*t**3 - r**2*x + 8*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(242) - (2*3*sqrt(242) - sqrt(242))) + 5 + (1 + sqrt(242) - sqrt(242)))**2*2.\nAnswer: -1056*sqrt(2) + 7816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-240) + 12\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/2580*8\/(-24).\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*v**3 + 5*v**2 - 5*v**2 - 2*v**2 + 3*v in the form q*v**2 + o + s*v + k*v**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 159836?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 0 + 0)*(-2033*o + 9621*o - 1841*o).\nAnswer: 17241*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 33925787437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and -0.726004571842.\nAnswer: -6.726004571842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 2*p - 7. Let i(b) = 5*b + b**2 - 2*b + 3*b**2 - 7. Let a(n) = -2*i(n) + 3*s(n). Does 21 divide a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 22*n + 4. Suppose 4*y = -3*x + 13, -3*y + 0*y + 22 = 4*x. Calculate the remainder when r(x) is divided by (-1 + 2)\/((-4)\/(-112)).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0*a**2 + 0 + 0*a**3 + 9*a + 1\/4*a**4. Let b(d) be the second derivative of d**4\/12 + d. What is s(b(q))?\nAnswer: 3*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 668 + 0*o**2 + 3*o**2 - o**2.\nAnswer: 2*o**2 + 668","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5646.714871 - -23.\nAnswer: 5669.714871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 2432*c. Let y(i) = -3733*i. Calculate v(y(g)).\nAnswer: -13935289*g**2 + 9078656*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -9*x**3\/2 + 148*x**2 - 4*x + 33. What is the remainder when p(5) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1111 + -1111. Let n(v) be the third derivative of u + 1\/240*v**6 - 1\/48*v**4 - 1\/12*v**3 + v**2 + 0*v + 1\/120*v**5. Factor n(s).\nAnswer: (s - 1)*(s + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 267380501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + 214418?\nAnswer: 214407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1484\/3 - 494. Suppose 21*b = -5*c + 18*b - 7, -24 = -4*c + 5*b. Put c, t, 0.1, 0.7 in decreasing order.\nAnswer: c, 0.7, t, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 + -102 + (9 - (-1 - -3)) + 0.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = 20. Let i = 3.97 - -0.03. Which is the second biggest value? (a) i (b) v (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.23, 606, 0.3.\nAnswer: -0.23, 0.3, 606","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 640\/(-312))*(-4 - -1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -266 + 29*d**2 + 101 + 85 + 80.\nAnswer: 29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 12*d + 178. Let w be q(-11). Let z be (-20)\/230 - (-4)\/w. Solve -5*h = z, -3*i + 4*h = -5*i - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/4)\/(-3))\/(3382\/712).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -7*o - 5. Let m(f) = 4 - 5 - 20*f - 10 - 3. Let h(r) = -14*d(r) + 5*m(r). Let w(c) be the first derivative of -c**3\/3 - 2. Determine w(h(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -1\/10, -0.4, -1, 5\/64, 3\/4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 14) + (3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j. Let i be 2 + 0\/(-5 - -4). Let w(s) be the first derivative of 0*s - 1\/2*s**i + 1. What is c(w(n))?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149692 is divided by 108?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 - 427?\nAnswer: -411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (14 + (-8 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 46.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 207809 to the power of 1\/2, to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-5)*k**(6\/13)\/k*k assuming k is positive.\nAnswer: k**(-46\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10074 = -11*o + 10448 for o.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**2\/3 + 28444*q\/3 + 348984 = 0?\nAnswer: -7074, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4054763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -159, -203, -275, -369, -479, -599, -723, -845?\n\"Answer: g**3 - 20*g**2 + 9*g - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2608691, -5217381, -7826071, -10434761, -13043451?\n\"Answer: -2608690*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -l**4\/8 - l**3\/2 - l**2. Let z(f) = 2*f + 2. Give -3*s(j) - 5*z(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qeb when three letters picked without replacement from {b: 6, t: 4, q: 2, h: 1, e: 4}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -10*p**3 + 3*p - 4. Let d be b(-3). Let y = d + -155. Calculate the remainder when y is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0)*-5)**2 + -3.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 43 + (-33 - (-44 - -48)) + (0 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1348899*d**2*s - 25*d*s**2 + 470*s**2 + 3480*s wrt d.\nAnswer: -2697798*d*s - 25*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 563 + -441. Is k a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqqkqgqkggggkqnk. What is prob of sequence nqq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -70*h - 665. Give d(-10).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:45 AM?\nAnswer: 8:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*z + 1. Let n be 3 - (-1 - z\/(-1)). Let c(l) = l. What is the remainder when 4 is divided by c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*f + 1, 5*f + 4*r + 8 = -2. Suppose 0 = 2*h + f*h - 444. What is the remainder when h is divided by (95 + 32504\/(-340))\/(1\/(-50))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -218*b**2*k**2 - b**2*k - 29*b**2 + 50*b*k**2 - b*k - 2*k**2 + k wrt k.\nAnswer: -436*b**2 + 100*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 5*i**2 + 5*i - 2. Let v be 2\/(-2 - 0) - -5. Let n be h(v). Let a(w) = -3*w**2 + 3 + 2*w + 4*w**n + 0*w**2. Calculate a(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29*n**3 - 177?\nAnswer: -87*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a minute in milliseconds?\nAnswer: 97500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kavlloq. What is prob of sequence ko?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(105)\/sqrt(700))\/(sqrt(5) - (sqrt(180) - (sqrt(180) - (sqrt(180) + sqrt(180)*3 - sqrt(180))) - sqrt(180))).\nAnswer: -sqrt(3)\/110 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/2, -1\/4, -1, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -37, -92, -189, -340, -557?\n\"Answer: -2*p**3 - 3*p**2 - 2*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 5*n - 4. Let b be o(7). Calculate the greatest common factor of 30 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3\/82, 3\/13 in increasing order.\nAnswer: 3\/82, 3\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 994414441.\nAnswer: 241, 4126201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 566627?\nAnswer: 17, 33331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 50 = -4*i + 6, d + 20 = 2*i. Suppose 9*o - 11*o = i. Sort o, 5, 0 in decreasing order.\nAnswer: 5, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 3*x + 7. Let t be q(-3). Suppose -d = -15 + t. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2769, -2768, -2767, -2766, -2765?\nAnswer: -2764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1315364 is divided by 263070.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s**(-1\/3)*s*s)\/s))**(10\/9)*((s**(-2\/15)*s*s)\/s)\/((s*s**(1\/10))\/s) assuming s is positive.\nAnswer: s**(307\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 4 (b) 5 (c) 1\/3 (d) 142\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 574724287?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 4*n**3 - 3*n**2 - 3*n + 4. Let h be l(3). Let j = 1374 - 1330. Let i = h - j. Does 27 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(13) + sqrt(117)\/sqrt(81)) - (5 + (sqrt(1872)*4 + sqrt(13))**2).\nAnswer: -31218 - 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, l: 3, w: 2}. Give prob of picking 1 w and 1 l.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 322, 680, 1072, 1498, 1958, 2452?\nAnswer: 2980","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12860963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-60)\/(-18) - 4)\/(81\/(-36) - -2). Solve -o*n**4 + 16\/3*n**3 + 2\/3*n - 10\/3*n**2 + 0 = 0 for n.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.5 - -5. Let i = v + -5. Let q be (1\/(-3))\/((24\/(-6))\/(-12)). What is the closest to 0 in q, i, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.37 take away -88?\nAnswer: 87.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 2*s**3 + 13662*s**2 + 31108374*s + 23611255866 = 0.\nAnswer: -2277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 858*i**2 + 3681*i**2 - 1150*i**2 + 1904*i**2.\nAnswer: 5293*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16928*h + 13900 with respect to h.\nAnswer: -16928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2205502 or -2205487?\nAnswer: -2205487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 3*b - 3 - 6*b - 13*b + b + (5 - 4 - 2)*(3 - 3 - 2*b) + (-2 + 2 - 1)*(-4*b + 3*b + 2*b) in the form y*b + t and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122222 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(8\/(-7)) + 2. Let v = -62\/5 + 692\/55. Which is the nearest to l? (a) v (b) 0.06 (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 9:52 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of k**6\/2700 + 23*k**5\/450 + k**4\/4 + 109*k**3\/3 + 125. Let u(p) be the third derivative of w(p). Find g such that u(g) = 0.\nAnswer: -45, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74872 divided by 4?\nAnswer: 18718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m**3 + 81*m**2 - 166*m + 32. Determine o(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-93 + 96 - 44)*(4*m - m + m) to u*m + g and give u.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**15*s**(-12)*s**(2\/23)*s*s**(2\/37)*s*s)**(4\/5) assuming s is positive.\nAnswer: s**(20904\/4255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -31 + (43 - (23 + -19))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 5*g + 8. Let s be i(-6). Which is the closest to 0.3? (a) 4 (b) s (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/(-18)*(-261)\/638\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1487 (c) -0.06 (d) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 169 - 183 = 0. What is the smallest common multiple of u and 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9735, 9735, 9773, 9867, 10035, 10295, 10665?\n\"Answer: 3*m**3 + m**2 - 24*m + 9755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 2*x + 68 + 102, -2*x = -2*w + 88. Suppose w = -2*j + 37. Sort -4, -1, j, -5 in increasing order.\nAnswer: -5, -4, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (1 + -12 - 7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*m - 3*m - 21*m)*(19*m**2 - 7*m**2 - 13*m**2) + 3*m**3 - 2*m**3 - 2*m**3 to the form n*m + r*m**3 + a*m**2 + j and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 11:05 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36978 to the power of 1\/2, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6 + 1 - (324\/(-16) + 15). Let l be (-2)\/(-4) + 2\/(-8). Let n = 2 - -3. Which is the closest to l? (a) z (b) n (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**2 - w + 1. Let d be h(3). Let u = 1 + -1. Solve d*z - z + 4 = u for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15350*y**2 - 95278*y?\nAnswer: 30700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 986\/17*((-24)\/16)\/(-3*1)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2*sqrt(19) - (sqrt(19) + -1)**2*1.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c - 12. Let v be a(13). Suppose 2*y - v = -4*o, -5*y - 24 = -5*o - 129. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 14 in -2\/13, -0.4, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 0*o = 10. Let m(s) = 5 - 4 - 54*s - o + 0. Is m(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 606 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-101 + 100 + 1 + 9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325922 by -3046.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1402*a**5 + a**4 + 103*a**3 + 192492*a**2 - 4*a wrt a.\nAnswer: -84120*a**2 + 24*a + 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 8*l - 9. Let q(o) = 6*o**3 + 2*o**2 + o - 2. Let z = 318 + -319. Let m be q(z). What is d(m)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1220 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = -64*t + 442 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154839.07 times 0.1?\nAnswer: 15483.907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 - -8. Let z be (-2)\/(-4) + y\/2. Suppose 9 - z = 4*b. What is the greatest common divisor of 14 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(1377)*-3)**2 - (3*sqrt(1088)*-3)**2.\nAnswer: 358020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -138*q + 393. Determine o(6).\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10858506 to the nearest 10000.\nAnswer: -10860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 23810d75?\nAnswer: 23810d75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 0*y + 0*y**3 + 13 + 0*y**2 - 1\/22*y**4. Determine q so that o(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 72960\/53 or 1377?\nAnswer: 1377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aj when two letters picked without replacement from jjjaaaaajaa?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + g = 32, -2 = -4*g + 6. Let k(s) = s**2 - s + 1. Let h(a) = -7*a**2 + 3*a - 2. Let n(d) = f*k(d) - h(d). Factor n(o).\nAnswer: (o - 1)*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 437d078?\nAnswer: -437d078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -2*r + 945. Suppose r*u - 60 = 130*u. What is the remainder when 21 is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 964917839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3430149707?\nAnswer: 25343, 135349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*o - 3, 0 = -2*a - o - 7. Let m = -1193\/102 + -212\/17. What is the common denominator of (10\/a + -2)\/((-2)\/11) and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 472*h + 477*h = 158565, 2*r = -h + 63427. Is r a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*u + 2*l, 3*u + 2*u = l - 22. Let t(y) = -y**3 - 5*y**2 - 4*y - 3. Let b be t(u). Let s(d) = 5*d**2 - 2*d - 2. Is s(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -18, 2, 1\/2.\nAnswer: -18, 1\/2, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18771?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 925\nAnswer: -4\/925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 138*a + 62 + 199 + 248*a**2 - 251*a**2 + 27.\nAnswer: -3*(a - 48)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105032199533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11095.\nAnswer: 5, 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -184*w + 392. Let r be d(-13). Suppose r = -107*f + 131*f. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1784 + -1554. Suppose -2*l + 3*c = -106, -l + 45 = -3*c - 2. What is the remainder when p is divided by l?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -42, -139, -312, -573, -934, -1407, -2004, -2737?\n\"Answer: -2*f**3 - 26*f**2 - 5*f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*q + 2, 0 = 2*q + m - 0*m - 8. Suppose -2*b = -3*p - 4*b + 21, p - 7 = q*b. Suppose -p*r = -3*r - 108. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5 + 10)*(2*x**2 - 2*x**2 + x**2 - 2).\nAnswer: 24*x**2 - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -1, -12 in decreasing order.\nAnswer: 5, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:23 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Suppose 0 = -5*x + 4*o + 7 + 21, 8 = 4*x + 4*o. Which is the nearest to -1? (a) s (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 9*a + 6. Let n = 1 - -5. Let r(c) = -8*c - 5. Let l(t) = n*r(t) + 5*z(t). Let x(k) = -188*k + 581*k - 197*k - 193*k. Determine l(x(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r**2*r)\/r*r)**(10\/7)*(r**4)**(-43))**(8\/5) assuming r is positive.\nAnswer: r**(-9312\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 246845?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.4 and 28.255?\nAnswer: 28.655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*g + 12 = 426*g - 40 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 7*w + 7. Suppose -5*c - 4 + 0 = -b, 5*b + 24 = 3*c. Let i be k(b). Let r = 0 + i. What is the remainder when 2 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, -7 in decreasing order.\nAnswer: 18, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 20 = 0, 2*s + 4*p = 3*s + 19 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 16 - 12, -4*v + 5*z = 15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 56 = 62. Let y(k) = 14*k + 14. Let i be y(m). Solve i + 15\/4*u**3 + 5\/4*u**2 - 5\/4*u + 5\/2*u**5 - 25\/4*u**4 = 0 for u.\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34127 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: Suppose -19 + 3 = -2*j. Let a(w) = -w**3 + w**2 + 2. What is the lowest common multiple of a(0) and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -3*o + 1, -3*o + o - 6 = 4*i. Let d be (-56)\/(-12) + o\/(-3). Let l be 13 - 1\/(2\/(-8)). Solve d*w - l = 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**4 - y**4 - 5*y**4 + (-21*y - 73*y + 23*y)*(-3 + y**3 + 3).\nAnswer: -73*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10111, 5347, 583, -4181?\nAnswer: -8945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11.8 - 12. Let r = 9 - 32. Let j = -22.9 - r. What is the closest to 0 in -2, n, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y. Let k(m) = -55*m**2 - 3*m + 4. Give k(u(d)).\nAnswer: -220*d**2 - 6*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15956.\nAnswer: 2, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a tonne in kilograms?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32304?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 7*j**2 + 4*j - 8. Let u be p(-6). Solve a + 2 = u*k + 3*a, -3*k = 2*a for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2853951?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9400\/11*y + 2\/11*y**2 + 11045000\/11.\nAnswer: 2*(y - 2350)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/7*(0 + -1). Let z be 3*(-2)\/(-12)*(-3 - -7). Suppose 5*l - l = -3*d, 2*l = -z*d. Solve l = n + t - 3 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tztt when four letters picked without replacement from ttgttzttzgtgtgtgttt.\nAnswer: 55\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 + 2428*j - 64848.\nAnswer: -4*(j - 579)*(j - 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 51 + 2 + -9\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3 + 1347310*n**2 + 33682099*n - 35029410.\nAnswer: (n - 1)*(n + 26)*(n + 1347285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -z + 5, 3 = z + v - 2. Suppose n = -2*n + z*c + 11, -3*n = -2*c - 8. Solve n*r + 3*r + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-22)\/(-10) + (-2)\/10. Let z(o) = -o + o + 3*o**s. Let a(j) = -2 - j + 2 + 0. Determine z(a(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = -18 - 0. Suppose -4*v - 85 = -5*j - 5*v, 3*v = -c*j + 21. What is the highest common divisor of j and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 13.4. Let v = 9.4 - 10. Let s = v + t. What is the nearest to -0.1 in 5, s, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6071117 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1999794 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r + 32. Let i be v(-27). Suppose x - 294 = -i*x. Calculate the greatest common factor of x and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*z - 15. Let u be (-12)\/30*2*-5. Let i(g) = g**3 - 10*g**2 - 11*g. Let d be i(11). Sort d, u, z in decreasing order.\nAnswer: u, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 5. Let w be d(-4). Let b be (-2)\/(-7) - (-57)\/w. Suppose b*n - 14 = -2*r, -2*r - 3*n + 14 = -2*n. What are the prime factors of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**4\/3 + 108*x**3 - 12382*x**2\/3 + 18020*x = 0.\nAnswer: 0, 5, 51, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82533 and 87720501.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -6. Let v = -9 - d. Sort 2\/11, v, -4.\nAnswer: -4, 2\/11, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4*d = -22, -5*i - 2*d - 4 = -2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 6:19 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-4))\/(17\/34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t - 23*t - 26*t**3 + 25*t**3 - 1 - 2*t**4 to j*t**4 + i*t**3 + o*t + l*t**2 + z and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 27*o - 26. Let f = -1244 + 1272. Determine h(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-6) - (-1 + -2). Let t(m) = -2*m**3 + 3*m**2 - 8*m - 2. Let f(p) = 2*p**3 - 3*p**2 + 7*p + 1. Let v(c) = 4*f(c) + 3*t(c). What is v(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -1712 (c) 1\/2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -11 - 21819?\nAnswer: -2182a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2820 and 5782\/(-11092)*(-1 - (-12)\/9)?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.82 + -0.06. Let i = 91868056.23999969 + -91868057. Let v = n + i. What is v rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3 = -912*y + 913*y, -4*y + 2*m = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/33)\/n*n*n*n**(-1\/28))\/((n*n\/(n\/(n**17*n*n)))\/n*n**(2\/5)*n) assuming n is positive.\nAnswer: n**(-89653\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 237045096 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-5)\/(-2))\/1)\/(3805\/(-18264))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, -15, -51, -107, -183, -279, -395?\nAnswer: -531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203265.\nAnswer: 3, 5, 4517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by 6.\nAnswer: -38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -711*w**2\/2 + 720*w + 102. Differentiate y(o) wrt o.\nAnswer: -711","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + k - 6*k - 45, -r + 5 = k. Solve 76*z - r = 71*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 + -46.99999972. What is t rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2754460 divided by 3?\nAnswer: 2754460\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1107?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 s when three letters picked without replacement from jjjrjrjsjjjrjrjrjj?\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**8*v*v**(3\/2))\/(v*v**(1\/7)*v\/v**5) assuming v is positive.\nAnswer: v**(187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -4*g - 31. Let l = 3414 + -3404. Calculate f(l).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, e: 1, u: 1, a: 1, x: 5}. Give prob of picking 1 b and 2 x.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (288\/(-22) + 12)*5\/20*-66?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28.8 in 4, -5, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 988041653 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20278?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 620 + -620. Let y = -2.888 + -0.112. What is the nearest to m in -0.6, y, -1?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o - 3. Is 3 a factor of t(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 - 5*j**2 - 6*j - 6. Let c be r(-4). Let b(w) = 4*w - 5. Let y be b(2). Suppose y*i - 5 = -c*i. Is i at least 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 1\/3*p**3 + p**2 - 1\/360*p**6 + 0*p - 1\/20*p**5 + 0*p**4 + 0. Let x(w) be the first derivative of c(w). Give x(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148170 is divided by 36808?\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 32265884 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 v, 1 y, and 1 e when three letters picked without replacement from fxoevyffeovyvy?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 261171385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1042 = 3*f, 701 = 2*f + 98*q - 95*q. Solve 342*k - 14 = f*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2 - 3 + 8*j**3.\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - -2313?\nAnswer: 2321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002179190605 rounded to six decimal places?\nAnswer: 0.000218","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 33 = 5*x, -2*a - 5*x + 29 = -0*a. Let t(h) = 3*h**2 - 4*h + 2. Let g be t(3). Suppose -3*i + g = a. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.2767 + 1.1767. Which is bigger: b or 4877?\nAnswer: 4877","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 844090 and 65.\nAnswer: 844090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18573 + 9282 + 506*s + 9291.\nAnswer: 506*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2 + 3)*3. Suppose -3*c - 12 = y*m, 4 = -4*c - 2*m + m. Suppose 0 = g - 5, 4*x - 4*g + 12 + 4 = c. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**2\/2 + 6*v - 11. Let j be h(14). Suppose 5*a = 0, -5*r + 2*a - a = -j. Solve -1 = u + r for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**5\/60 + 7*k**4\/24 + k**3\/3 - k**2. Let r be g(4). Suppose 4*b - 5*w = 31, -4*w - 50 = -3*b - 2*b. Is b not equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1837.28 minus 5?\nAnswer: -1842.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4\/3, 1, -0.3, 9.12 in ascending order.\nAnswer: -0.3, -0.2, 1, 4\/3, 9.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -69 and 373480.1?\nAnswer: -25770126.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -1\/6*l**4 - 17*l + 2\/15*l**3 + 0*l**2 - 8. Let q(b) be the first derivative of d(b). Factor q(o).\nAnswer: -2*o*(5*o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 2) + 157 + -118.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*d + 910 = 604 for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1\/4, 1.4253, 0.5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 603 + -549. Suppose 35 = v*h - 47*h. Solve 0 = 7*u - h + 19 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 730*i + 33*i**4 - 535*i**3 + 49*i**4 - 268*i**3 - 480 + 225*i**2 + 173*i**4 - 5*i**5 + 78*i**3 = 0.\nAnswer: -1, 1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-2)*(170\/(-20))\/(17\/(-23))\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19133\/2 + -9566. Let m(v) be the first derivative of 22 + 3*v - g*v**2. Let n(d) = 2*d - 7. Determine 9*m(a) + 4*n(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (2*sqrt(833)*2)**2 + sqrt(833)).\nAnswer: 28*sqrt(17) + 53316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l, -j = -4*l + 5 - 7 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 69 times -15080\nAnswer: -1040520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -13.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -131 (b) 0 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4781?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1616035, 4 in ascending order.\nAnswer: -1616035, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9778906 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = -4*h, -h = 1 + 1. Suppose 4 = 2*c + 2, -131 = -s*o - c. Suppose -o = -j + 3*z, j + 0*j + 5*z - 18 = 0. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011 (base 4) to base 7.\nAnswer: -643","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -352 divided by -44?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*m**3 - 295*m**3 + 217*m**3.\nAnswer: -316*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5104*i + 7 + 7418*i.\nAnswer: 12522*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27 and 29349.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 at most -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3468 - 3264. Which is greater: o or 203?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -89. Suppose 7*u + t = 4*u + 2*w, 4*u = -4*w - 36. What is the least common multiple of ((-4)\/u)\/(6*(-6)\/(-180)) and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-24) - 11\/6. Let r(c) = -13*c**3 - 9*c**2 + 13*c - 8. Let j(b) = 2 + 4*b + b**3 - 7*b + 2*b**2 + 2*b**3. Calculate f*r(w) - 9*j(w).\nAnswer: -w**3 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (2 - (9 + -9))*(-201)\/28?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104706 and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7 + 2.2. What is the biggest value in 3, o, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26012)\/(-1400) + -19 + -1*(-1)\/2.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 2. Let d(k) = -k**2 - 11122*k - 4. What is -d(n) + 2*g(n)?\nAnswer: -n**2 + 11122*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**3 + 19*o**2 - 20*o + 5. Does 37 divide j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.754196m to kilometers.\nAnswer: 0.004754196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 27, -4, -88 in increasing order.\nAnswer: -88, -4, -1, 2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 84 - 90 - 8*x**2 - 10*x**2 - 13*x + 16*x**2. Give o(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5682941 is divided by 562.\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 374 = 3*u, -5*r + u + 1960 = -2*u. What is r rounded to the nearest ten?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6686167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, -3, -22\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3656814.\nAnswer: 2, 3, 7, 83, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -h + 86. Let t be (h\/(-18))\/(-5 - (-506)\/99). Suppose -3 = c, -a = -3*c - 13 - 3. Solve t = 3*j - a for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -131 + 242. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737986819 a multiple of 280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 - 3)*(-15*w**2 + 34*w**2 + 15*w**2).\nAnswer: -340*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6248892 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(2\/6). Suppose 0 = -3*j - u + 7, 3*j - p*u = u + 15. Sort j, 1, -2 in increasing order.\nAnswer: -2, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4777 + 4855. Let i(p) = -p**3 + p + 52. Let j be i(0). What is the highest common divisor of j and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 532435 is divided by 153.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 2*d - 220, -4*d - 44 = -s - 6*d. Let n be 8\/(-12)*(-6)\/s. Let i be -1 + -1 - 24\/(-10). Which is the third smallest value? (a) 1 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 684366, 683258, 682148, 681036, 679922, 678806, 677688?\nAnswer: 676568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 132887 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**7\/2016 - 7*o**6\/288 - 31*o**4\/12 + 5*o**2 + 2*o. Let p(v) be the second derivative of h(v). Factor p(f).\nAnswer: 5*f*(f - 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29589000 a multiple of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.07 - -3.6. Let j = 0.03 - k. What is the third biggest value in 0, j, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*t + 4*t - 24, -2*t = 3*i - 30. Solve 38*j + t = 37*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 divided by -2?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*-1*5\/10. Let c be p*6\/21 - 52\/(-14). Let d = -0.26 - 0.04. What is the third smallest value in d, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2*w + 0*w = 0, 0 = -5*w + 25. Suppose 0 = r*c, -4*k - 3*c = k. Suppose -3*g + 173 = -4*x - 79, k = -5*x + 15. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4*(7 - 25). Suppose -3*v = -5*z - r, -3*z - 4*v + v + 9 = 0. Solve w + 2 = -z*w + 3*x, -8 = 4*w + x for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 709.2212 kilometers?\nAnswer: 70922120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2313.2*0.055\nAnswer: 127.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 501 + -499. What is the closest to 1\/8 in i, -14, 1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 0*j + 3 + 0*j**2 - 2\/15*j**3. Find q, given that s(q) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 + s**4 - 2*s**3 + 1149106 - 1149107 - 7*s**3 to a*s**2 + j*s**3 + q + b*s + g*s**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.5. Let y = 2 - 2.1. What is the smallest value in i, y, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166080, -332171, -498270, -664377?\nAnswer: -830492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = -5*g - 88, -29*w - 3*g = -11*w - 8*w + 64 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 439.9 - 440. What is the closest to h in -0.17, 4, 0.2?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + -6*(sqrt(162)*4 + -5 + (sqrt(162) - (sqrt(162) + 0 + -3 - sqrt(162)))))**2.\nAnswer: -7560*sqrt(2) + 145996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**3)\/n*n*n)\/n*n)\/(((n\/n**(-1\/8))\/n)\/n*n))\/((n*n*n**5*n)\/((n*n**(-1\/7)*n)\/n)) assuming n is positive.\nAnswer: n**(-463\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*(-248)\/(-992)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.4, -2\/13, -3, -0.1, 2?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 204*d - 205*d + 92. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 87\/58*(-4)\/(-6). Let l(x) = 89*x**3 - 2*x**2 + 3. List the prime factors of l(w).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/271 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcctcmxfccttummccu. What is prob of sequence xcmc?\nAnswer: 7\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471*i - 54 = -477*i for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i. Let h(x) = 4*x - 3. Determine f(h(l)).\nAnswer: -32*l + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-22)\/(-8) - 3)*4. Let a = p - -1. Find u such that a + u**2 + 1\/2*u**3 + 1\/2*u = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/244 and 87\/10.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence erer when four letters picked without replacement from eaeekeargergeg?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 126*m**2 + 0*m + 0*m**4 + 0 + 0*m**3 + 1\/60*m**5. Let g(z) = 43*z**2. Give j(g(d)).\nAnswer: 1849*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 9040 = 4*g - 72, -2*g = 3*h - 27296. List the prime factors of h.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x + 3. Let l be c(-5). Let t be l - -2 - -2 - 0. Calculate the highest common divisor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.37 (b) -43 (c) 0.1 (d) 0.4 (e) -20185\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.07 + 12. Let q = i + -3.93. Let w be -11 - -9 - ((-18)\/5 + 2). Which is the nearest to 1? (a) q (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002613 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**6\/2 + 3*q**2\/2 + 4. Find the second derivative of r(g) wrt g.\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 5*l**2 - 11*l - 4. Let i be (-51)\/(-7) - (-26)\/(-91). Let a be y(i). What is the first derivative of -5 + a - 10*g**3 - g**3 wrt g?\nAnswer: -33*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/6*(-162)\/288*-14*(-24)\/(-2352).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*g + 25*g - 210. Suppose 2*z - 451 = -4*s + 3*z, s - z = 115. Let d = s - g. What is the remainder when d is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 0.0557226.\nAnswer: 0.3343356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 40. Suppose -7 = 4*a - i + 1, -5*a - 21 = -l*i. Suppose 2*h + 2*h + 20 = 0. Sort a, -2, h in descending order.\nAnswer: a, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u\/u**3*u)\/(u*u**18\/u))**10)**(3\/17))**7 assuming u is positive.\nAnswer: u**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.2256 and 0.09?\nAnswer: -0.650304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 966 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 43, 73, 115, 169, 235?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 10*d**2 - 31*d - 150. Let p be m(-6). Let g(u) = -37*u - 1. Let t be g(-1). Calculate the greatest common divisor of t and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 58*t**2 - 5*t - 8. Is g(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1725 or -1758?\nAnswer: -1725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -396380.8 to the nearest 100.\nAnswer: -396400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -7902144 divided by 27?\nAnswer: -292672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -25, 24, 635, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*g**3 - 47 + 47)*(4*g - 2 + 2) + (5*g**4 - 6*g**4 + 5*g**4)*(0 + 1 - 2).\nAnswer: -148*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11610 and 57620.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -10. Let l(s) = -5*s**2 + 12*s - 4 + 3*s**2 - 17*s. Let a(v) = -v**2 + v + 1. Let k(d) = b*l(d) - a(d). Calculate k(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/1452 and 47\/31294956.\nAnswer: 31294956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of -3*l**4\/4 + 141*l**3 - 19881*l**2\/2 + 311469*l - 1599. Factor k(y).\nAnswer: -3*(y - 47)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*t**3 + 1370464*t**2 - 7333866020*t - 29357395600 = 0 for t.\nAnswer: -4, 42835\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12728361 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (8 - (12 - 10 - 26))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-17)\/(-119))\/(2\/(-406))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -11. Suppose -25 = 5*o, h*o = 5*a - o - 35. Find the third derivative of 0*v**2 - 2*v**2 + 0*v**5 - 5*v**a - 5*v**5 wrt v.\nAnswer: -300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -0.5 (c) 68 (d) -1886 (e) -99\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 - -0.05. Sort k, -3\/4, -4, 1\/9 in decreasing order.\nAnswer: 1\/9, k, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = s + 6, -5*s - 7*x = -2*x - 15. Suppose 4*v - m - 2*m - 12 = s, 4*m = 5*v - 15. Suppose -v*b = -8*b + 15. Solve -b*l + l = -4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -6*j - 7. Let w be o(-2). Suppose -w*b - 5*m = -360, 0 = -2*b + 4*m + 156 + 18. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16515 + 11233. List the prime factors of v\/(-15) - (-10)\/(-75).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u and 1 z when four letters picked without replacement from zduusuuudzduuuudu?\nAnswer: 12\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*j - 3*j - 63, 3*j = -6. Let p(k) = k**3 + 14*k**2 + 12*k - 11. Let a be p(u). Solve -4*v + 6*v + a = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 161*0.12\nAnswer: 19.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - 4*g - 2. Let w be f(0). Let j be 60\/8*((-16)\/10 - w). Suppose -3*h - 2 = -4*h. Solve 0 = j*p - 4*q, h*q - 6 = 3*p - 0*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 7*l + 2)*(-6 + 21 + 4)*(l + 2 - 2) to the form p + x*l + m*l**2 and give m.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - 0) + (178 - 163) - -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74442268213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -54*p + 110. Let w(g) = 80*g - 161. Let c(k) = 7*v(k) + 5*w(k). Calculate c(8).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huhuhkkhhaunanha. What is prob of sequence hnu?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x**2 + 6 + 0 - 1 - 1. Let f(v) = v**2 - v - 2. Let p(d) = 3*d**2 - 4*d - 9. Let u(y) = 4*f(y) - p(y). Let j be 4\/(-1) + 0\/1. Give j*u(b) + c(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -63171949*q - 264984561?\nAnswer: -63171949","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 57*a**2 + a + 1560*a**4 - 3*a - 1558*a**4 to s*a + d*a**4 + r*a**2 + k*a**3 + y and give r.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30316)\/(-530) + (-56)\/2 - 33?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -2130808?\nAnswer: -7\/2130808","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13820875 or -124387882\/9?\nAnswer: -124387882\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 18318.267ms in minutes?\nAnswer: 0.30530445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -100.5\nAnswer: 20.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k - 15*k - 5*s = -11, 0 = k + 2*s - 5. Suppose -x = -k*o - 1017, 2*x - 2046 = -13*o + 15*o. What is the thousands digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238334 (base 10) in base 13?\nAnswer: -84635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5364 less than -5364?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13385 + 810 = 392*t + 19913 + 48 for t.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**0)**(3\/13)*(j**0\/j)\/j*j**0*(j**(1\/2))**(1\/5)\/(j**(1\/2)\/(j*j**2)) assuming j is positive.\nAnswer: j**(54\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f + 2. Let l(v) = 5*v - 2. Let m be (-2)\/23 - (12\/3)\/(115\/(-60)). Determine m*p(b) + 3*l(b).\nAnswer: 5*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 + 12. Suppose -2*f = 3*b - 4*b - 9330, -b = -2. Is 0\/2 + f*2\/x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2 - 1532288*h\/3 + 170254.\nAnswer: 2*(h - 255381)*(3*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p = 42*p - 210 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 305481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**9\/12096 + o**6\/720 - o**5\/10 + 3*o**2. Let z(n) be the third derivative of q(n). Differentiate z(g) wrt g.\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 5142020324?\nAnswer: -5142020323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3. Let s(w) = -w - 4. Let d(z) = 4*g(z) - 3*s(z). Let h(m) = m**2 - 39*m + 376. Let j be h(17). Let t(r) = -j*r + 1420 + 22*r - 1420. Give t(d(f)).\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26.96 + 52. Let g = w + -25. Which is the biggest value? (a) g (b) -1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-1\/4))\/(y*y*y\/((y*y**7)\/y)))\/(y\/(y\/(((y*y**(-2\/3))\/y)\/y)))**(1\/12))**(-37) assuming y is positive.\nAnswer: y**(-1628\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -282 + 95 + 96 + 343*v + 91 + (-2 - 2 + 2)*(-66 + 11*v + 66).\nAnswer: 321*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 + 30. Suppose -g + p*g = 46. Suppose 0 = b + 3*c - 24, -92 = -5*b + 2*c - g. Solve -2*k - 3*k = -b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273 - 5*y**2 - 150 - 123.\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 323369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 + h - 3. Let o be a(2). Suppose -5*p = 2*u - 61, 0 = -3*p + o + 4. What is the least common multiple of 18 and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * -180\nAnswer: 5.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 5*q**3\/3 - 10*q**2 + 15*q - 10. Find a, given that l(a) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 590 - 589.6. Sort 2, 1\/4, b, -0.06 in ascending order.\nAnswer: -0.06, 1\/4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 27*f**4 + 491256*f**3 + 2234232264*f**2 - 2979631392*f + 993283248 = 0.\nAnswer: -9098, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**1\/w)*w*w\/w**2)**(-3\/8)*(w*w**(-4)*w*w\/(w**(-7)*w)*w)\/(w**(3\/10)\/((w\/w**1)\/w)) assuming w is positive.\nAnswer: w**(173\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 10*a - 6. Let h be b(7). Calculate the highest common divisor of 8 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Suppose u = -b*u - 48. Calculate the least common multiple of 8 and (8\/u)\/((-1)\/14).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, e: 1, p: 4}. Give prob of picking 2 f and 1 e.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - (-1)\/3)\/((-2)\/306). Let d be w\/18*30\/4. Suppose 2*h - 4*y + 24 = d, y = 2*h - 137. What are the prime factors of h?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 15*g - 107. Let f be b(-12). Solve y = -5*d - 1, -d + 4*d + y + f = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 26*f**2 - 4*f - 44. Let s be k(-26). What is the highest common factor of 24 and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -4. Let t(y) = y**3 - 6*y**2 + y - 2. Give t(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269928 is divided by 280.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -662227107 less than -0.3?\nAnswer: 662227106.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*-1*(-2)\/(-3). Let x(c) = 5*c**2 + c - 2. Let p be x(1). Suppose 0 = -3*l - 9, 4*f + 2*l = f - 18. Put d, f, p in descending order.\nAnswer: p, d, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369543 divided by -1857\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 18*f**2. Let u(t) = -13*t. Let p(x) = -4*x. Let z(s) = -7*p(s) + 2*u(s). Determine l(z(y)).\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r + 9 = 0. Let f = 87 - 87. Suppose f = -t + 15 - 13. Solve -r*o + t*s - 10 = s, -o + 3*s + 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -80954 divided by 2\nAnswer: -40477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxru when four letters picked without replacement from mxuuuuxwmuuxxrnxuwun?\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.68948ml in litres?\nAnswer: 0.00068948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3232086*m**3*z**2 - m**2*z**2 - 6708267*m*z**2 wrt m?\nAnswer: -19392516*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 9 = -a, -b + 4*b + 3 = a. What is the third derivative of 5*o**4 - 9*o**4 - a*o + 4*o**4 + 41*o**6 - 2*o**2 wrt o?\nAnswer: 4920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -3 (b) 4 (c) 2\/25 (d) 22025 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7476*m*s**3 - 5*s**3 - 224*s wrt m?\nAnswer: -7476*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 3. Let g(i) = -i + 1. Let u(m) = 6*g(m) + 2*h(m). Let d(k) = 13*k**2. Determine u(d(j)).\nAnswer: -26*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -39566 times -0.4?\nAnswer: 15826.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (7 + (0 - (-15)\/(-5)))*6 and 54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -7*t**4\/12 - 3*t**2\/2 - 143*t. Let n(j) = 50*j**2 + 20. Determine -3*n(a) - 20*u(a).\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2931896728 to 2 decimal places.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 64022135.4 rounded to the nearest one hundred thousand?\nAnswer: 64000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 2088229, 3 in increasing order.\nAnswer: -24, 3, 2088229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 723245235573.96+-0.4\nAnswer: 723245235573.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f - 2*f**3 + 336*f**2 + 340*f**2 + 5*f - 676*f**2.\nAnswer: -2*f**3 + 9*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + d + 8, -i - 2*d = -0*d + 7. Let g be 46\/(-69) - 2\/i. Suppose 1 = f - g*f, -80 = -5*x + 5*f. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 11 = -3*h, 4*h + 3*o + 16 = 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1409712?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 406*f**2. Let s(z) = 47*z**2 + 85*z + 34. Let h(t) = 8*t**2 + 15*t + 6. Let j(d) = 34*h(d) - 6*s(d). Determine m(j(y)).\nAnswer: 40600*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*x = -0*g - 88, 4*g = -2*x + 352. Calculate the greatest common factor of g and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -32, -193, -27, -3, 2\/3?\nAnswer: -193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 143.47 and -0.4?\nAnswer: -57.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-25)*(-35)\/(-28)*15\/30\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/142245 and -16\/8708337.\nAnswer: 1262708865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, -0.5, 4\/5, 5.\nAnswer: -47, -0.5, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3373 - -4060. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.1 - 2.1. Let s = 0.37 + 2.63. What is the biggest value in s, x, 3\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/2 (b) 3 (c) -3\/70\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123110 + 212231?\nAnswer: 340341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4200419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(11))**2 + sqrt(11))*4 + -2*(2*sqrt(11) - sqrt(11)).\nAnswer: 2*sqrt(11) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.3 + 0.2. Let b = 4 + -7. Let c be ((-1)\/8)\/(b\/18). Which is smaller: c or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-3 + sqrt(304) + sqrt(304) + -2) + -5)**2.\nAnswer: -160*sqrt(19) + 4889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 18. Let l be ((-12)\/p)\/((-6)\/(-15)). Factor 3*r**4 + 4*r**3 - 8*r**l + 1 + r**2 - 1.\nAnswer: r**2*(r - 1)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 102, 1729, 6140, 14727, 28882, 49997, 79464, 118675?\n\"Answer: 232*j**3 + 3*j - 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 3, 0, 4\/9 in descending order.\nAnswer: 3, 4\/9, 2\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 72.59281 millilitres to litres.\nAnswer: 0.07259281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 110659*p**3 - 55328*p**3 - 52*p**2 - 55333*p**3 + 2 - 2*p as f*p + x*p**3 + y + m*p**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -5 (c) -144436\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 34946 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/(-495)*(-15 + 24). Factor 8\/11 - p*c + 2\/11*c**2.\nAnswer: 2*(c - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 49 + -39 - 72*-5. Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 12. Let j(v) be the third derivative of 0*v**4 + 0 + 2*v**h + 0*v**3 + 1\/60*v**5 + 0*v. Let t(x) = 2*x. What is j(t(r))?\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*j - 9 - 3, -g = j. Let f(p) = p**2 + p + 18 + 0*p**g + 11*p. What are the prime factors of f(-14)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 10*z + 21. Let o be g(-2). Let b(q) = -5963*q**2 + 5961*q**2 - o + 1. Let r(i) = -8*i**2 + 4*i. What is b(r(h))?\nAnswer: -128*h**4 + 128*h**3 - 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 9*y = -7*y + 1, 0 = 4*u - 4*y + 28 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -283, -501, -805, -1195?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12.27, 3, -32.8, 4\/5?\nAnswer: 12.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4234812707.\nAnswer: 4234812707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15857 and 505?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -23994, -21145, -18296, -15447, -12598, -9749?\n\"Answer: 2849*f - 26843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - 9*u**3 + 45*u**3 + 5*u**2.\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 18*k**2 + 34*k - 12. Does 6 divide r(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 + -9. Calculate the remainder when 19 is divided by -1*(r + 0) + 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15975 - 15975 - 4*g**2 - 18*g. Let x(a) = -2*a**2. Give x(r(h)).\nAnswer: -32*h**4 - 288*h**3 - 648*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5739, 0.4, 0.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 25 = 2*t. Let k(a) = a**3 + 5*a**2 + 4 + 2 - t + 4*a. Let u(n) = 2*n + 7. Let o be u(-5). Determine k(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 16 = q, -2*l - 7*q + 28 = -2*q. Let c(p) = 6*p - 100. Let h be c(18). Let v(s) = -h + 3*s - 4*s - 2 + 5. Give v(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 divided by 127?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 - -10110110010101?\nAnswer: 10110110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pz when two letters picked without replacement from {p: 4, z: 7}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 936920 greater than or equal to 936920?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*n - 5, 0 = 2*d - 4*d + 3*n + 3. Let w be 0\/(2 + -7 - -2). Let o = w + d. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -24*f**4 - 14*f**3 + 14*f + 4. Let i(r) = 8*r**4 + 5*r**3 - 5*r - 1. Let o(j) = 14*i(j) + 5*z(j). Differentiate o(g) wrt g.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 29249958?\nAnswer: 29249976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*-1*(sqrt(32) - sqrt(2))**2 + -3*(sqrt(288) + 1)**2.\nAnswer: -937 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1435 + -6 + -8 - (7 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -p + 25, -i - p = -0*i + 11. Let g = i + 10. Solve -g = 4*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - -49. Let o = a + -74. Which is greater: o or -2\/17?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of -7*t**3\/2 - t**2 + 12*t. Let m be l(-2). Let a = m + -25. Solve -2*i - i + a = -3*g, -g + 5*i = 5 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12371583*f**5 + 4888036*f**2?\nAnswer: -742294980*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 1:45 PM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29322846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - w + 17 = 0, 16*w + 22 = -3*l + 18*w for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 3:25 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {m: 4, v: 3, e: 1, c: 2, n: 2, i: 8}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-9))\/(2\/(-6)). Let x = 0.9 - -0.1. Let d = 6 - x. Sort -2\/3, d, v in decreasing order.\nAnswer: d, -2\/3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(156) - (sqrt(156) - sqrt(156)*-1))\/sqrt(3))\/((sqrt(4) + -4*sqrt(8)\/sqrt(2))*4).\nAnswer: -sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 5*n**2 + 3*n - 4. Let h be d(-4). Let j(z) = 3 + h + z**2 - 1. Suppose -28*p + 11 = -17. Let y(o) = -1. Give p*j(r) + 2*y(r).\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.95 + -7.18. Let l = z - -0.91. What is l rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in five eighths of a kilometer?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 + 249. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.39 + -2.219. Let c = -90.171 + x. Let g = -90.000082 - c. Round g to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyycyyc. Give prob of sequence yccy.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, k: 1, x: 1, a: 1}. What is prob of picking 1 l, 1 a, and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 334.9 - 335. Let h = 19.17 - 0.17. Let t = -18.8 + h. Which is the biggest value? (a) l (b) 0.01 (c) t (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxwbbwbwbwbijw. Give prob of picking 2 b.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*p - 57, -2*q + 2*p - p = -22. What is the tens digit of q*(0 + -28)\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*c + 44 = -37*c. Calculate the common denominator of 107\/12 and (-6)\/(-27) - (c + (-165)\/54).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8242182, 16484355, 24726518, 32968665, 41210790, 49452887?\nAnswer: 57694950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 280, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -579.8 - -580. Sort w, 1\/6, -36 in decreasing order.\nAnswer: w, 1\/6, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54038250 divided by 6?\nAnswer: 9006375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 PM and 12:08 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 38080246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342337095?\nAnswer: 3, 5, 7607491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -112 - 314440?\nAnswer: -314552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16260196 is divided by 2710030.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}