diff --git "a/data/dm_maths/full_data/4332_11255.jsonl" "b/data/dm_maths/full_data/4332_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/4332_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is 44052 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 427\/63 + 2\/9. Suppose -4*k = 2*v + m + 1, -3*v - 4 = 2*k. Solve 4*d = v, -4*f = -0*f + 5*d + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence az when two letters picked without replacement from nnnnznvnazaxxannn.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -220.468 - -4.508. Round m to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*g - 3*u, -8*g + 7*g + 2*u + 2 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*d + 27 = -429 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5612 and 2852.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*c - 14 + 99 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 882441*u**2 - 2. Let p(v) = v. Give p(q(r)).\nAnswer: 882441*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289 - -17. List the prime factors of d.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -653 - 684 = -7*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -7*g - 24. Let c be ((-4)\/6)\/(1\/9). Let k be 0\/(g*(-4)\/c). Which is bigger: k or 2\/81?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, -2296, -6514, -12406?\nAnswer: -19972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.43 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/7 + 52*v\/7 + 59.\nAnswer: -(v - 59)*(v + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 684.0615 millennia?\nAnswer: 6840.615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/7 (b) 72 (c) 0 (d) 7 (e) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -67\/534932?\nAnswer: -67\/534932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 - 15. Which is greater: 50 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*g**2 + 18\/7 + 12\/7*g.\nAnswer: 2*(g + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4927844 - -69104205\/14. Let j = -8164 + c. Let u = -10789\/4 + 2674. Find the common denominator of j and u.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*c - 6 = 8, y + 16 = -5*c. Let u(x) be the second derivative of -x**4\/12 - x**3 + 4*x**2 + 3*x. Determine u(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 7*g - 5*g - 5 + 3*g**2 + 3. Is p(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 53*c**2 - 296*c + 348.\nAnswer: (c - 58)*(c - 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 119*k**2 - 938*k + 19. Let c(s) = -24*s**2. What is h(c(g))?\nAnswer: 68544*g**4 + 22512*g**2 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 258607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/24*2)\/(133\/(-57)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Suppose -7*r - 10 = 2*v - 2*r, n*v + 5*r + 10 = 0. Solve -5 = 2*b + 5*z - v, -z = 1 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 2*o + 5. Let b be w(5). Let a = b - 17. Suppose -5 = -a*z - 2*z. Calculate the lowest common multiple of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of -o**5\/20 + o**4\/6 - 2*o**3\/3 + o**2 + 2. Let v(q) = q**2 - q + 1. Give -20*v(k) - 5*x(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*x = -59, -4*h + 0*h + 4*x = 236. Let u be h\/12 + 30\/45 + 5. Suppose 4*w = w. Sort u, w, -2 in decreasing order.\nAnswer: u, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = -24*d - 180 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*o + 1. Let w be (12\/(-9))\/((-2)\/(-6)). Let y = w - -5. Which is smaller: y or o?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 1067?\nAnswer: 6402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-1)\/2*1. Let k = 6 - 5. Calculate the remainder when (-2)\/(0\/3 - g) is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 36.3 (c) -0.5 (d) 19 (e) 6 (f) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in hours?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - -24) + -2 + -1. Suppose -4*l - 5*y + n = 0, -4*y = 3*l - 2*l - 20. Suppose 0 = -2*p + 5*q + 654, q = -l*p + 5*p - 1635. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 166286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 28.2. Which is greater: -4 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1455455 (base 11) in base 15?\nAnswer: -344914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -1\/14*j**7 - 1\/2*j**3 + 0*j**6 + 0*j**5 + 0*j**2 + 0*j**4 + 0 + 2*j. What is the second derivative of b(q) wrt q?\nAnswer: -60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 2*a**2 - 7*a - 4. Let k(u) = -u**3 - u**2 + 7*u + 4. Let i(f) = 2*k(f) + 3*o(f). Calculate i(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*h + 5*h - h)*(h + 5*h - 3*h)*(2*h - 2*h + h)*(2*h + 2 - 2)*(4 - 26 - 16).\nAnswer: 1368*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25474 + -25470. Put 2, -1\/15, d, -0.42 in increasing order.\nAnswer: -0.42, -1\/15, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 0.3 (c) 10\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 10) + 0 + 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-86211)\/(-4) - (10 + (-148)\/16). Let o = 33035 - f. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 123202100 + -10?\nAnswer: 123202030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 103*u - 22880. Solve -9*o - u = 35*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 1383 - 1388 = 2*m, 4*u + 3 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 377, 751, 1125, 1499, 1873, 2247?\n\"Answer: 374*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 - -107\/4. Let n be (-2)\/42 + 23 + (-5)\/(1575\/5466). Which is the third biggest value? (a) 1\/2 (b) n (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjmem. What is prob of picking 1 e and 1 m?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9843 - -206788\/21. Calculate the common denominator of ((-2)\/28)\/((-24)\/(-992)) and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 18*o + 19*o + 26 = 0, -3*h - 4*o - 19 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3283975 times 0.2?\nAnswer: 656795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.178355 + 1.1914. What is o rounded to 4 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33 - -35. Suppose 372 = 2*f - k*d, -2*f + 744 = 2*f - d. Suppose 5*y + 56 = f. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-16 - -32) + -36)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8992 + 8971 + (0 - -62)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 928 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000325341 to 6 dps.\nAnswer: -0.000325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3 + 23*t**2 - 3 - 17*t**2. Let i(h) = -7*h**2. What is i(u(c))?\nAnswer: -252*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731048106 to the power of 1\/2, to the nearest integer?\nAnswer: 52259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497718 is divided by 74.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 341376 a multiple of 381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 47910126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 20 = -s. What is the least common multiple of s and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*f + 0*f + 10*f)*(-1 + 2*f**2 + 1)*(-11*f - 10*f + 2*f).\nAnswer: -950*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.408 - -0.478. What is the nearest to k in 4\/5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*h**3 + 13*h**3 - 15*h**2 + 12*h**2 + (h - 3*h + 4*h)*(-14*h**2 - 2*h**2 - 9*h**2) - h**3 - 2*h + 2*h to f*h**2 + o*h**3 + v*h + z and give o.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, -14\/5, -0.08 in decreasing order.\nAnswer: 4, -0.08, -14\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1401020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d - 16. Let f be o(-7). Suppose z + 2*z = -s + 29, -4*s + 133 = -f*z. Suppose -4*k - 4*j = -12, -2*k - 5 + 15 = 3*j. Which is greater: k or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k - 5*f + 15626 - 15623, -5*k + 42 = -4*f for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + y + y**3 + y**2 - 41 + 256. Let q = 66 - 66. Is t(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + w - 2*w, l - 18 = -5*w. What is the closest to l in -2, 0.1, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.2 + -0.2. Let c = -9 - -8. What is the nearest to b in c, 0.5, -3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (81*d + 12*d + 63*d)*((2*d + d - 2*d)*(-d - d + 0*d) + 0*d**2 - d**2 + 0*d**2 + 0*d + 0*d - d**2).\nAnswer: -624*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -0.5, 0.02, -2\/15, -5, 1.5?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303\/4 + -489\/4. Find the common denominator of h and 39\/128.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0.1 (c) -59233 (d) 83\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 33\/19, -2.8, 6, 1 in decreasing order.\nAnswer: 6, 33\/19, 1, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -339 + 602. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -15, -26 + 1 = 4*h + 5*f. Suppose h = 2*j - 2 + 4. Let s be 4\/(12\/(-62997)) + j. Round s to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 7*l. Let g(y) = 20*y. Give g(w(i)).\nAnswer: 140*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7213?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = 21*d - 56*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of 5*r**2 + 37*r + 0*r**2 + 4*r**2 + 15*r**2 - 37. Find the first derivative of l(u) wrt u.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -3, -2, -1 in increasing order.\nAnswer: -8, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 32 = -4*q, 2*q + 0 + 2 = 2*b. Let u(a) = -a**2 - 4*a + 1. Let f be u(-2). Suppose -2*i - 54 = -f*i. Solve -4*t - 18 = 2*s, -t - i = b*s + t for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -100207548\nAnswer: -1\/100207548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21129359.\nAnswer: 21129359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -269 (base 16) in base 13?\nAnswer: -386","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7510 + 403 = 41*c. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - 2*x**2 + x)*(0*x**2 + 0*x**2 + 2*x**3) + 13*x**4 - 13*x**4 + 14*x**4 + 2*x**5.\nAnswer: -2*x**5 + 14*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 38 - 48 = 4*n, 5*n + 115 = 4*y. Let c = -8 + y. Let a = c - 12. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hwccwbhwwuunnnh. Give prob of sequence wnn.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 - 2*s**2 + 2*s**2)*(203*s**3 + 215*s**3 + 21*s - 424*s**3).\nAnswer: 18*s**5 - 63*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*m + 0*m + m)*(-1 + 2 - 2) + 12126 + 580*m - 12126)*(-11*m + 6*m**2 + 11*m).\nAnswer: 3486*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11557 + 3856 - 85*z + 3848 + 3854.\nAnswer: -85*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788946 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2622470*i**2 - 1284937 wrt i.\nAnswer: -5244940*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1149 (b) -0.4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 + 80*i**2 + 84*i - 311. Give n(81).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 1. Let u(p) = -19*p + 3. What is 6*b(s) - 2*u(s)?\nAnswer: 38*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46.4 - 47.304. Let t = s - 1.703. Round t to one decimal place.\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*i + 124 + 37 = 0, 0 = i + 4. Which is greater: -28 or y?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9*5\/(-300)*4)\/((-378)\/(-225))\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39975171 and 6.\nAnswer: 79950342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 581.75036 rounded to the nearest 10?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-8))**(2\/79)*(d*d**(-6\/11)*d)\/d*d**(-5\/2) assuming d is positive.\nAnswer: d**(-3159\/1738)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10911 and 0.031?\nAnswer: -338.241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 12, b: 7}. Give prob of picking 4 b.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-18 - -2)) + 9 - (7 - 3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4905 + 0.0905. Which is the smallest value? (a) -4 (b) 89 (c) r (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 4. Let o be (5 + -6)*2*-2. Which is the biggest value? (a) s (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**5 - 305*s**4 + 570*s**3 + 1190*s**2 - 575*s - 885 = 0.\nAnswer: -1, 1, 3, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = b - 4*b - 13, 4*r + 21 = -5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.076 - 0.024. Which is the nearest to -2? (a) 1\/10 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 9*g**2 - 3*g + 9. Let b(i) = -i**3 + 5*i**2 - 2*i + 5. Let u(h) = 11*b(h) - 6*t(h). What are the prime factors of u(-3)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36751 is divided by 171.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39 + 67. What is the remainder when 139 is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**3\/6 - 5*f**2\/2 - 6*f. Let a be i(-10). Factor 4*t - 4 + 4*t + 0 - a*t**2 + 3*t**3 - 2*t**3.\nAnswer: (t - 2)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 2*p + 2. Calculate the least common multiple of 5 and d(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -155456860937.999998458 + 155456860475. Let q = -463 - b. Round q to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let p(j) = -j + 10. Let s be p(8). Suppose 2 = s*o - 0. What is the nearest to 1\/3 in 0.2, o, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 71*s + 2. Let o(p) = -114039*p + 2. Determine q(o(x)).\nAnswer: -8096769*x + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 2*b**3 - 5712*b**2 + 152650*b + 328164 = 0.\nAnswer: -2, 29, 2829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 957 + 202 = -5*y, -5*y + 5*f + 775 = 0. Let t be (40\/25)\/(4\/y). Suppose -3*g - g = -t. Is g a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*d**3 - 24*b*d**2 + 56*b - 318*d**3 wrt d?\nAnswer: -12*b - 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2) - 4\/16\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -698 - -1238. Suppose 4*r + 164 = -l - 265, -v = 5*r + 5*l. Let g = r - -252. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 11*l = -12. Solve -5*g - 18 = u, -u - 4*g - 6 = -l*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 50, -5, 427, 3 in descending order.\nAnswer: 427, 50, 3, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 155364659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 40*s**2 + 127*s - 10. Let d be i(-3). Let f = -71 + 215\/3. Let r = -0.1 - -0.1. What is the smallest value in r, d, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13498*g - 450 + 450.\nAnswer: -13498*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 3424.\nAnswer: -53\/3424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21208669 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 6:41 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 88827 or 88826?\nAnswer: 88827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 356475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 11*w**2 + 5*w**2 + 0*w**2 to l*w + a*w**2 + z and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3566249?\nAnswer: 3566249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1451916483.\nAnswer: 3, 19, 449, 56731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*q - 118. Let t(u) = 4*u + 15. Let m be t(-12). Let i = m + 84. What is the highest common divisor of i and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -59*v**3 - 2 + 20*v + 118*v**3 + 10*v + v**2 - 63*v**3 - v in the form y*v**3 + u*v + h + c*v**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2\/19, 2\/11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2*sqrt(612).\nAnswer: -5 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -557, -1078, -2475, -5180, -9625, -16242, -25463?\nAnswer: -37720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -134\/7 + 19. What is the nearest to -2\/3 in y, -3, 0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-93)\/(-12))\/(2\/24) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130883 is divided by 232.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07722558 - 0.07722. What is p rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27586*t - 27586*t + 252*t**2 - 138*t**2 - 134*t**2.\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, u: 5}. What is prob of sequence uyuu?\nAnswer: 45\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 - -4. Let r = 1 + -6. Let t be ((-15)\/25)\/((-2)\/r). Which is the nearest to 0? (a) o (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a20 (base 14) to base 5.\nAnswer: 311340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/(-24) + 116996\/(-6). Round f to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 256 is divided by 118.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -354177 + 1.1.\nAnswer: -354175.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 63, 133, 231, 357, 511?\nAnswer: 693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5052 - 0.505. Round s to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5071.5588 hours in weeks?\nAnswer: 30.18785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -38 - -65. Calculate the highest common divisor of 27 and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24053?\nAnswer: 67, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -10*d - 34. Let i be x(-3). What is the nearest to -1 in 2\/15, i, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhjzhhhzzjjhjuuhzz. Give prob of sequence jh.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 89.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 7*p - 20. Let z be (-11)\/(11\/(-20)) + 1\/1. Is j(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -0.6. Let q = -16.61 + -0.39. Let k = q - -14. What is the second smallest value in 0.4, k, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/3645666 and 61\/3370?\nAnswer: 18228330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 946*-428\nAnswer: -404888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 - 2*o + 1. Let u be g(1). Let l(k) = -k + u*k + 4*k. Let c(d) = -3*d. Calculate c(l(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -10 - (-3 - -8 - 10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 996, 1, -0.3, -2\/3, -4\/7 in descending order.\nAnswer: 996, 1, -0.3, -4\/7, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 564 + -537. Solve z - 29 = v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 253629339?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111121212 + -10322?\nAnswer: 111110230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g + 127154891 = 20754891. What is g rounded to the nearest 100000?\nAnswer: -5600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**8\/168 - 23*a**5\/5 + 35*a**4\/8 + 217*a**2. What is the second derivative of i(w) wrt w?\nAnswer: 40*w**3 - 552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xj when two letters picked without replacement from {x: 7, j: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 160 = 6*v. Let j = -22 + v. Let w(g) = -g**2 + 17*g + 23. Calculate the smallest common multiple of w(18) and j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 106 - s - 50 - 56. Let x(b) = -134*b**2. What is q(x(t))?\nAnswer: 134*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16.7619 - -0.1419. Round b to the nearest integer.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2 + 49552*h - 306925088 = 0 for h.\nAnswer: 12388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1895, -6009, -12413, -21107?\nAnswer: -32091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - -0.013.\nAnswer: -20.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 12. Let w be j(-5). What is the highest common divisor of 16 and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -142 - -149. What is r rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -4. Let g = -3 - z. Let b = -136 + 138. What is the closest to g in b, -1, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 770743 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**5\/4 + 2*t**4 + 21*t**3\/4 + 11*t**2\/2 + 2*t.\nAnswer: t*(t + 1)**2*(t + 2)*(t + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -19200 - (-13 + 11). What is the third derivative of -11*l**6 - 81*l**2 + 19203*l - p*l + 56*l**6 wrt l?\nAnswer: 5400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4097079620?\nAnswer: 2, 5, 4967, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*u - 65*u + 418 = 131 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and -1351.6546.\nAnswer: 2703.3092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112 and 31555712.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by (-6)\/(-14)*2\/(-3) + (-213560)\/(-3934)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 2*u**3\/3 - u - 32. Let n be d(-2). Let s = 44 + n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-112)*-12 + -8?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19895.29 and -0.0585.\nAnswer: 19895.2315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 378\/198*(-13)\/(-6) and (2\/6)\/(-10 + 19216\/1920).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1564 - 125*z - 1564 + 335*z in the form g*z + c and give g.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -73*k**2 + 15*k + 15. Let z(a) = -36*a**2 + 8*a + 8. Give -6*b(l) + 11*z(l).\nAnswer: 42*l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 29 - 51. Let m(i) = -i**2 + 3*i + 1. Let n(v) = -5*v**2 + 11*v + 4. Let d(k) = c*m(k) + 6*n(k). What is the first derivative of d(g) wrt g?\nAnswer: -16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/4 (b) -0.1 (c) 4 (d) 0 (e) 4\/5 (f) -17 (g) -21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rhh. What is prob of sequence rh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5\/((-1 - 0)\/(-1)). Suppose -1 + d = 2*p. Suppose 6*h = p*h - v - 1, -5*v = 4*h + 5. Solve 0*a - 5*a = h for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 take away 96?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(o**5 - o**5 - o**5) - o**5 + o**3 - o**3 - 2*o**2 + 2*o**2 - 2*o**5 - 32*o**5 + 9*o**5 - 16*o**5.\nAnswer: -45*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*u + 10 + 6, -5*s - 25 = -u. Let q be s + 2*3\/(-3). Let z(f) = f**3 + 6*f**2 - 4. Give z(q).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 42*p**2 + 345*p + 35. Let d be w(-7). Calculate the highest common factor of d and 4683.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500)*-3*-1 - ((sqrt(30) - (sqrt(2430) + 2*sqrt(2430) + sqrt(2430) + sqrt(30)))\/sqrt(6))**2.\nAnswer: -6480 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 7*c = 8*c - 2, -22 = u - 5*c for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (336\/(-320))\/(21\/(-15))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 516252, 1032499, 1548748, 2064999?\nAnswer: 2581252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19496 - 19496 + 8*j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0183620311 rounded to five decimal places?\nAnswer: -0.01836","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 285*n - 284*n - 4, -76*b - 3*n + 392 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 11, w: 1}. What is prob of sequence pw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/7 + 207*n**4\/7 + 642*n**3\/7 + 432*n**2\/7 = 0.\nAnswer: -2, -1, 0, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2544511 (base 8) to base 7\nAnswer: 6002621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -15. Let w = k - 13. Suppose -2*d + d + 36 = w. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -51\/7, -3, -2\/19, -5 in descending order.\nAnswer: -0.1, -2\/19, -3, -5, -51\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 5, 0.2, 1\/4, 411, 9, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5031454.\nAnswer: 2, 2515727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -481\/2 - -247. Let b = 16 + -10. Calculate the common denominator of p and b\/(-4) + 31\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -759.5 less than 5?\nAnswer: 764.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 75.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201 + 121?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19553 - -36970. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*t**4 + 6*t - 6*t)*((3 + t - 3)*(-3 + 2 + 0) + (3*t - 3*t + t)*(-6 + 2 + 2)) + 2*t**2 - 2*t**2 - t**5.\nAnswer: -145*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-80)\/(-175) - (-11)\/77\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -954.51979 rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 823*a - 495 wrt a.\nAnswer: 823","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -21 - 98*f + 62 + 97*f. What is the units digit of t(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/9 (b) -91 (c) 0.4 (d) -3 (e) -5 (f) -576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 - 1.4. Let c = w + 0.9962. Round c to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.0371 or -3?\nAnswer: 0.0371","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + p. Let n(a) = -3*a**3 - 18*a**2 + 18*a. What is 18*l(i) - n(i)?\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23088912?\nAnswer: 2, 3, 7, 11, 6247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. What is the closest to h in 2, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*k**4 - 61*k**4 - 16*k**4 + (0*k + 2*k**3 + 0*k)*(1 - 2*k - 1) - 7*k**4 + 32*k**3 - 32*k**3 + 1.\nAnswer: -131*k**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 4\/3)\/((-2)\/(-12)). Is (1\/x - 0)\/(-1)*-358 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10 - 36) + (27 - 5). Put -5, -3, -19, 21, b in decreasing order.\nAnswer: 21, -3, b, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101 + -105. Let i = 5 - 0. Suppose 12 = -i*j + j. Put 3, j, y in increasing order.\nAnswer: y, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 11:32 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lso when three letters picked without replacement from loosoosssoosso?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-k - k + 3*k)*(-25*k + 13*k + 14*k).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(-17\/6)*(x*x**(-4)\/x)\/(x\/(x\/((x\/(x\/(x*x\/(x**(4\/3)\/x*x*x)*x)))\/x))) assuming x is positive.\nAnswer: x**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4*f + 2 - 4 + 6*f. Let d(n) = 150*n + 147*n - 293*n - n**2 - 5. Suppose -14*b + b = 26. Calculate b*d(o) + 5*w(o).\nAnswer: 2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -174 - -288. Let g(b) = 114 - f + b**2. Let t(x) = 1. Let i(d) = -d - 6. Let c(h) = i(h) + 6*t(h). Determine c(g(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(-4)\/(4\/(-5)). What is the closest to -1 in i, 1, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, 0.3, -1, 0.4, 112 in increasing order.\nAnswer: -1, -1\/16, 0.3, 0.4, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0371 - -43.2371. What is y rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -1\/8, 2\/15, 0.082 in increasing order.\nAnswer: -4, -1\/8, 0, 0.082, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3 - 33278*w**2 + 266320*w - 532704.\nAnswer: -2*(w - 4)**2*(w + 16647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 2794*w - 198300.\nAnswer: -2*(w - 1322)*(w - 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2 (c) 14 (d) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -528260 + 7923866\/15. Find the common denominator of t and 4\/6*92\/(-64).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/((-60)\/(-462))*(-432)\/(-1008).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 203\/793 or 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19201 is divided by 712.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 + 0*n**2 - 3*n**2)*(6*n + 6*n - 4*n) + 445*n**3 - 4879*n + 4879*n.\nAnswer: 437*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -58\/17 and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:54 PM?\nAnswer: 6:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -945*h**4 - h**3 + h - 10530?\nAnswer: -3780*h**3 - 3*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 9. Let p be d(11). Suppose -4*n = o + n + 1, -p*n = -4*o + 40. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + -9. Let y be ((-2)\/g)\/(18\/4). Let z = -38 + 37.9. Which is the smallest value? (a) 3 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-5 + -8) - -28.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16745 divided by 3349.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -290 - -335. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -413 + 415. Which is the nearest to i? (a) -0.2 (b) 0.05 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000332 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 2*b**2 + 8*b - 1. Determine k(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 555*u**3*y**2 + 633*u**3*y - 4*u**3 - 6*u**2*y**2 + 3*u**2*y - 683*u*y**2 - 4*u - 9*y**2 + 4 wrt u.\nAnswer: 3330*y**2 + 3798*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -281 - -280. What is the biggest value in 1, g, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kookooooooo. What is prob of picking 2 k?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q + 14*q + 132 = 0. Solve 2*g + q*i = 10 + 4, -i - 14 = -3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*s = -822, 3*m - 2690 = -4*s - 204. List the prime factors of (8\/(-20) + m\/(-10))\/(-1).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 97 - 0?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 152374, 152508, 152642, 152776?\n\"Answer: 134*u + 152240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 AM and 10:34 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**3 + 26*p**3 - 12*p**3.\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 4*d - 1. Let j be u(2). Suppose -j*w + w = -28. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 12*h = -216, 2*h - 125333 = 4*l - 125127 for l.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 259985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -5*o + 3*o + 10, 2*o - 34 = -10*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 8:31 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 1069*s**2 - 23*s + 71. Is g(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 261 = 11*x. Let b = -432\/5 - x. What is the nearest to -2 in b, -3, 4\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/6)\/((-152)\/456)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1055*n - 740*n - 1 + 483*n in the form g*n + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -10*h**7\/7 + h**6\/6 + h**3 - 10*h - 23. What is the third derivative of m(d) wrt d?\nAnswer: -1200*d**3 + 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2221984 by -16.\nAnswer: -138874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 49, 54?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 - (-9 + 5)) + -10 + 2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 40 - 67 - -40?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - 6 - ((0 - -2) + -293) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**4 + 199363*z**3 - 35266365*z**2 + 2080304777*z - 40908621494 = 0. Calculate z.\nAnswer: 59, 199186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1834 is divided by 114.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 96948*d**2*u**3 + 45*d**2*u + 2*d**2 - 12*d*u wrt u.\nAnswer: 581688*d**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**2*c))**(2\/5)\/(c\/(c**(-2\/3)\/c)*c*c**(-11)) assuming c is positive.\nAnswer: c**(98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4671537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - ((-5 - -8) + -3)) + (-10 - -5).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -122*i - 8. Let d be l(-3). Suppose -4*h + d = -z + 49, -4*z = 4. Calculate the highest common divisor of h and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-186 + 9 - 64)*(2*u - u + u)*(-2 + u + 2).\nAnswer: -482*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51531 + -51528. Let f - 13\/4*n**2 + 1\/4*n**4 + n**3 - n = 0. Calculate n.\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 4}. What is prob of sequence bpp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of 0*d + 1\/3*d**4 + d**2 + 0 + 1\/12*d**5 - 7\/6*d**3. Is q(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*g + 68 = 0. Suppose 0 = -6*p + 5*p + 41. Suppose -3*u + 3*d + 166 = -p, 54 = u + 4*d. What is the remainder when u is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 + -49. Calculate the greatest common divisor of g and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 + -40. Let p = v - -14. Solve 0*m = -p*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 12*q = -216. Does 18 divide (-12)\/q - 1282\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 0.0565025.\nAnswer: -0.22601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -332 = 2*h - 338. Solve h*b = 18*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.03, -0.3, -0.2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5161799\/1560 + -43032\/13. Calculate the common denominator of u and -19\/36.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 192 - 588. Calculate the highest common factor of 100 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -11*q + 34. Let s(y) = y**2 + 25. Give t(s(m)).\nAnswer: -11*m**2 - 241","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1780, -3, 7, -4 in increasing order.\nAnswer: -1780, -4, -3, -2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 100256445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1672788?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*t + 17*t - 6. Suppose 3*m - 213 = -t*z, 0*z - 283 = -4*m - 5*z. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -330 by -12.\nAnswer: 55\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 31, 72, 129, 202?\n\"Answer: 8*u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 739475 and 1925?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/700 and 66\/97685.\nAnswer: 1953700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.38 - -6.62. Which is the nearest to 2\/5? (a) 1\/2 (b) q (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62\/(-3))\/2*(-4527)\/(-1509).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4965 - -4971. Solve 0 = 2*h + v - 4, 5*t + h = -6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1) - (-2596)\/(-88))*4\/(-10).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from vybvovmmnnnovbm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by (30\/(-2))\/((-3)\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13\/37 - 1145\/111. What is the common denominator of s and 6\/45*3330\/(-108)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/15 + 14\/5. Let h = 10 - p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1256851*a**4 - a + 45757199?\nAnswer: -5027404*a**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, e: 1, i: 1, n: 1}. Give prob of sequence en.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 42234?\nAnswer: 42222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6*y - 16. Suppose -s + 26 = r, -y*r - r = s - 82. Suppose 0 = -16*z + 36 + r. Solve 5 = 4*m + 5*o + 1, -z*o = m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 a factor of 188026480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0)**(-28)*o**(-2\/5)\/(o*(o*o**(-1\/5))\/o*o))\/(((o**1*o)\/o)**14)**46 assuming o is positive.\nAnswer: o**(-3231\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6515.79 - 6515. Are -9 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-10) + (-59)\/(-2). Let t be 12\/x - 3\/(-30). Determine w, given that 0*w + t*w**4 - w**2 + 0*w**3 + 1\/2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 18438 (b) -2\/11 (c) 3.2 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(1\/10)*s*(s*s**(-22))\/s*s*s*(((s*s*s**(-2))\/s)\/s)**4 assuming s is positive.\nAnswer: s**(-259\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -32 - -1b3?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -1 + 6, -110*v = -3*d - 109*v + 29 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -24, -22, -8, 24?\n\"Answer: o**3 - 3*o**2 - 2*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)\/sqrt(5) + sqrt(2) + sqrt(32)*-2 + (sqrt(2) + 2*sqrt(8)\/sqrt(4) + sqrt(2) - (4 + sqrt(2) + -2)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - -2)\/((-82764)\/(-6365) + -13). Which is greater: 336 or h?\nAnswer: 336","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154 and 15686.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 4. Suppose -4*j = -2*j - 2. Let o(s) = -1. Let r(p) = j*z(p) - o(p). Let u be r(-6). What is the greatest common factor of 22 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 14) in base 8?\nAnswer: -146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*n*p*w**3 + 22*f**3*n*w**2 + f**3*p*w - 140*f*n*p**3*w**3 - f*n*p**3*w + 4*f*w**2 wrt w.\nAnswer: -12*f**3*n*p - 840*f*n*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 + -21. Let d be (-4)\/x + (-127938)\/(-30). Let a = d + -34067\/8. Calculate the common denominator of a and 50\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -340*c**3*d**2*f*h - c**3*d*f*h - c**3*d*f - 5*c**3*d*h + 2*c*d**2*f - 7*f wrt d.\nAnswer: -680*c**3*f*h + 4*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 3227*j**3 - 9*j**2 + j**4 - 3234*j**3 + 7*j + 0*j + 8 = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 338591 is divided by 169282.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -1101, 2 in increasing order.\nAnswer: -1101, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2318 - -4423. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331330402 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(24) - sqrt(72)\/sqrt(3)*2 - sqrt(24)) + (sqrt(264)*-1)\/sqrt(11))\/(4*sqrt(72)\/(sqrt(72)\/sqrt(8))))**2.\nAnswer: 27\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24342231 (base 5) in base 7?\nAnswer: -1651204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j*j\/j**(-13))\/j*j*j**(-4) assuming j is positive.\nAnswer: j**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/1785 and 139\/714.\nAnswer: 3570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3570 = 2*n, n = -n - 6. What is the common denominator of 19\/14 and (11\/o)\/((-2)\/249)?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -78*m**3*y**2 + 14165*m**3*y + 32*m*y**2 - m*y - 3*y**2 + 1320 wrt m?\nAnswer: -468*m*y**2 + 84990*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:46 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-b**2 - b + b + (0*b + 2*b - 3*b)*(3*b + 4*b - 5*b))*(68*b + 4*b + 3*b) as z + f*b**3 + w*b + u*b**2 and give f.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -49862010 divided by -122?\nAnswer: 408705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + (-6 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1573707256 a multiple of 268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.22 - 0.22. Let f = -958511.00033 - -958521. Let k = f - v. What is k rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5 = -3*v - 2*g, 2*v + 14 = -4*g. Is 13 a factor of ((-41)\/3)\/(v\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*q**2 - 25 - 17 - 64*q**2 + 95 wrt q?\nAnswer: -86*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 - -10. Let w(b) = -b**3 - 8*b**2 + 14*b - 44. Let m(f) = 2*f**3 - 5*f**2 + 4*f - 4. What is the remainder when m(4) is divided by w(y)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 5*l**2 + 22*l - 5. Let a(t) = -t**2 - 2*t - 1. Determine -5*a(n) + f(n).\nAnswer: n**3 + 32*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21332014 (base 5) in base 11?\nAnswer: -115863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*(1 + sqrt(242))*-2)**2 + (-4*(-2*sqrt(1078))\/sqrt(11))**2*-5.\nAnswer: -30388 + 88*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -46051*m**3 - m**2 + 150733 wrt m?\nAnswer: -138153*m**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 360 and 5148?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 30*h + 64. Suppose -372 = 77*a + 181*a - 72*a. Determine n(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of 21*d**2\/2 - 54*d - 2. What is the hundreds digit of j(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2082 (b) -9\/40 (c) -10 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3*v + 98, j = -3*v + 4*v - 32. What is the remainder when 87 is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(3) + 0 + sqrt(12)\/sqrt(4) + sqrt(48) + 0) - (sqrt(363) + 0 + sqrt(363) + 3)*-1)**2.\nAnswer: 60*sqrt(3) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -4*f + 30. Let i be k(7). List the prime factors of i\/3 - (-49)\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (5 + 22 + -30 - -24)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 2*r**2 + 95*r + 127. Calculate n(-55).\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1466440.94 and 3?\nAnswer: -4399322.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 16\/3*v**2 + 72 - 52*v + 4\/3*v**3 = 0.\nAnswer: -9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -12*z + 1. Give g(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (500 + 866 - 55 + 301)*(-n + 1 - 1) to o + v*n and give v.\nAnswer: -1612","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 22 = 92. Let a(q) = 4*q - 4 + 2*q + 2*q - q. Let x be a(2). Calculate the greatest common divisor of x and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 38424*k - 153919. Determine u(4).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1140)\/140 + (-4)\/(-28)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 12 = 0, 5*l - 2*b + b = 199. Let d = l + 15. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**2\/5 - 33552*v\/5 + 93811392\/5 = 0.\nAnswer: 5592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 173888 and 19760?\nAnswer: 869440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 0*s**2 + 34\/3*s**3 + 1 + 0*s. Let g(b) = -5 + 5*b + 16 - 11 - 6*b. What is g(p(t))?\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 72 + -70. Which is the fourth smallest value? (a) 2\/7 (b) 1\/3 (c) -1\/5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 1\/1461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1522.4 - -1522.9. What is the third biggest value in -0.0004, 2, t?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 45*y + 404. List the prime factors of f(89).\nAnswer: 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/5)\/((-10)\/(-25)). Suppose 4*g + o = 3*g. Let t be g\/18 + 20\/(-24). Let l(u) = 7*u - 1. Calculate l(t).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1 = -2*v, 41*i + 3*v + 4 = -40*i + 68*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74650 is divided by 37318.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*g - 833 = 631. What is the highest common divisor of 10919 and g?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {j: 3, s: 4, w: 1, o: 2, e: 1, r: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 8. Let x(v) = v + 17. Let o(b) = 9*s(b) - 4*x(b). Let g be o(4). What is the highest common divisor of 36 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -2\/23, 76974.\nAnswer: -2\/23, 17, 76974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1186 - 925. Suppose -3*v + 3*c - 171 = -c, v = -5*c - 76. Let w = 90 + v. Calculate the highest common factor of w and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1146 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 101\/5 (b) -24 (c) -965\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 3*sqrt(539).\nAnswer: 29*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 66679 divided by 36?\nAnswer: 66679\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -47242, 14 in descending order.\nAnswer: 14, 2\/17, -47242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.8 + -1.8. What is the second smallest value in 0.5, j, 6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-1) + -2)*1. Let z(x) = -x**3 + 4*x**2 - 5*x + 3. Let k(t) = -2*t**3 + 8*t**2 - 11*t + 6. Let d(w) = u*z(w) + 2*k(w). Calculate d(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5258370.\nAnswer: 2, 3, 5, 13, 97, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.2, -1.9, -78 in decreasing order.\nAnswer: 0.2, -0.2, -1.9, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/63*9\/(-12)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 = c + 2*n, 5*n = -2*c + 589 + 26. Suppose 297*o - c*o - 4 = 0. Solve 2*x + 2*w = -10, o*w + 0*w + 5 = 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 49051*b**3 - 879605*b**2.\nAnswer: 294306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 16 = -1. Let i = 40 + -42. Let o be (i + (-2 - -5))*3 + -4. Put 36, w, o in ascending order.\nAnswer: o, w, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 160393*15\nAnswer: 2405895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 + 2)*(5*r - 4*r + 0*r) - 2*r + 5*r - 4*r)*(0*r**2 + 0*r**2 - r**2)*(3 + 1 - 6)*(-2*r + 2*r + 2*r).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10}. What is prob of picking 4 k?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**2 + q**2 - 2*q + q**2 + 7*q**3 - 1 - 2*q**2. Let u = -4 - -3. What is m(u)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**3 - 172*k**2 - 117*k + 50. Give c(58).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(6\/3 - 0). Let i(j) = -11*j - 10. What is the tens digit of i(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 3 = -2*c. Suppose -c = h - 0. Sort -1, h, -2 in increasing order.\nAnswer: h, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 + k + 2. Let r be g(0). Let n = 6 - r. Solve 6 + 6 = n*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8718666 by -73887.\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -6*i**3 + 7*i**2 + 2*i - 2. What is b(6)?\nAnswer: -1034","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(2\/20*-2)\/((-9)\/(-270)*114)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -5, 0, -2 in descending order.\nAnswer: 15, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120 + -13110003?\nAnswer: -13111123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.55 - -4.55. Put 0.4, -1, l in decreasing order.\nAnswer: l, 0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 67, -0.3, -37, -4747, 0?\nAnswer: -4747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/8)*d)\/(d*d**(2\/43)) assuming d is positive.\nAnswer: d**(27\/344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.02012, -0.2, -5, -2\/25, 1\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.17 - 0.2. What is the closest to -0.2 in -3, -0.4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3*u - 28 = 0, 4*u = 3*y + 89 + 15. List the prime factors of (-664)\/(-6)*(y\/(-16) - 1).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:46 PM?\nAnswer: 8:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -26. Suppose 2 = -2*m + l. Let f = 20 - m. List the prime factors of f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119316 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*s, 4*r = 2*s - 13 + 11 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -240252002*r**4*x - 9425*r**2*x - 2*r**2 - 87*r*x + r + 2*x - 1 wrt r?\nAnswer: -5766048048*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 23615*v + 2. Let d be h(2). Let z be (6\/(-9))\/((-2)\/12). Suppose 0 = 3*c - 9, -z*s + d + 24774 = 2*c. What is s rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 722928*r**3 + 54*r + 126 wrt r?\nAnswer: 4337568*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 122*s**2 + 2372*s - 1574. What is x(139)?\nAnswer: -323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -33750 (base 8) to base 9\nAnswer: -21562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16d14a (base 15) to base 2\nAnswer: -100001110010101011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 at most as big as -460\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 - 6. Let r be 0 + -1 + (14 - b). Let a = r + 10. What is the remainder when 51 is divided by a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-36)\/(-420) + 2.\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 6107*d**4\/12 - 1424*d**3\/3 + 6997*d. What is the second derivative of v(r) wrt r?\nAnswer: 12214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373177787900 - 110041919740504441\/294878. Let m = 4\/3137 - u. Find the common denominator of (3\/(-96))\/((-8)\/1312*2) and m.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 29487 (base 10) to base 6.\nAnswer: 344303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 10 = 0, -960*l + 965*l - 3*f - 59176 = 0. What are the prime factors of l?\nAnswer: 2, 61, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -105 in 0.01, -2, -555?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 7580 + 4*l + 5550)*(1 - 1 + 4).\nAnswer: 4*l - 8120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-57)\/(-95) - (-5027)\/5. Let p = 1564 - b. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12406 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -103457.69 to the nearest 1000.\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1335417 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 702\/(-30) + (-4)\/(-10). Let s = n + 25. Suppose 12 = 4*x - 8. Solve x = s*l - l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 23*v**4 - 581906*v**3\/5 + 471224*v**2 - 121344*v\/5 = 0. Calculate v.\nAnswer: 0, 6\/115, 4, 5056","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k*k**(13\/5)\/k)\/k*k)\/k)\/(k\/(k\/(k**(-1\/35)*k))*k) assuming k is positive.\nAnswer: k**(57\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.06 - 0.06. Let d = -2.03 + 2. Let f = 0.52923 + -0.12923. Which is the third biggest value? (a) w (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5 - 25, 0 = 3*r + 5*h - 47. Calculate the smallest common multiple of r and 59.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 - 9*t**2 + 36*t - 8. Let c be k(-12). Let u(v) = -10*v - 73. Let p be u(c). Suppose 4*m = -5*w + 3, 3*m = 2*w + 6*m + 3. Is p at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 + 8c5ac9?\nAnswer: 8c5ac2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 0 - (-81)\/(243\/10)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 308186 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 412874.\nAnswer: 3302992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1773*s**3 + 54*s**2 - 2367*s + 54. Let f(p) = p**3 - 2*p**2 + 3*p - 2. Let b(x) = 27*f(x) + n(x). Find the second derivative of b(c) wrt c.\nAnswer: 10800*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -7*n - 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003000437 to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l - 4*l**2 + l**2 + 2*l**3 - l**3. Let h be b(2). What is the units digit of (h\/(-6))\/1*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11003093 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2275)\/(-1820))\/((-9)\/12))\/((-5)\/78).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p + 911. Let f(u) = -u - 913. Give -3*f(v) - 4*n(v).\nAnswer: -v - 905","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 32106924.\nAnswer: 321069240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28770 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-93)\/(-2)*(-2)\/(-3). Let c(l) = 2*l**2 + 4*l + 1. Let j be c(-5). What is the highest common factor of n and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 87553 and 1?\nAnswer: 87553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + -5)*234\/936?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-198)\/(-4) - (-9)\/(-6). Suppose -r + x = 2*h + 4, -3*h + 4*r + 55 = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**2 + 8*y**2 - 26*y**2 - 5*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + 2*m**2 + 4*m**2)*(-11*m + 11*m - 5*m**2).\nAnswer: -25*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-98)\/8 + 6\/24. Let p = -1 - i. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 884061 is divided by 287.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 23b643 + 24?\nAnswer: 23b667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13202 (base 12) to base 7.\nAnswer: -136262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -180, -363, -548, -735, -924, -1115, -1308?\n\"Answer: -l**2 - 180*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -25465 - -6?\nAnswer: -25456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 31*y**3 - 3*y + 23 - 33*y**3 + 7 + 2*y as n*y**3 + f*y + a*y**2 + w and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/16)\/(1\/(-6)*-9 - 3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -62 + 9 - (-4047)\/76.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {e: 6, t: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/19824 and 107\/448?\nAnswer: 79296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8441871 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.5, 3\/4, 1\/27?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -195.012563 to the nearest integer.\nAnswer: -195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -10*r - 168 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13030 is divided by 362?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n = -16*n + 16. What is the remainder when 39 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*j + 11 = -0*j, 3*j - 9 = 0. Let z = -4 - -2.83. Let x = -1.27 - z. Which is the nearest to g? (a) 0 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 73*i**3*n**3 - 3*i**3*n**2 - 13*i**3 + 2*i**2*n**2 - 295*i - 71*n**3 wrt i.\nAnswer: 438*n**3 - 18*n**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 3*g**3 + 11*g**2 - 22*g. Let c(p) = -2*p**3 - 9*p**2 + 22*p. Calculate -4*c(w) - 3*o(w).\nAnswer: -w**3 + 3*w**2 - 22*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -47, 5, -4, 7 in increasing order.\nAnswer: -47, -4, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 480*m - 11430. Does 15 divide d(24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/3 + 85*w\/3 + 86\/3.\nAnswer: -(w - 86)*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 28*s + 36. Let p = 16 + 0. Suppose -w + 15 = -d + 2, -p = 4*d. What is the hundreds digit of g(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y + y - 2*y)*(-4*y**3 - 10*y**3 - 62*y**3) + (0*y**4 + 0*y**4 - y**4)*(-2 + 0 + 0).\nAnswer: -150*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*o + 5*o - o - 9*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymyxqyeexykyy. What is prob of sequence yey?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -77.54006 to zero dps.\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (0 - 3) - (2 + -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -5*o. Let l(h) = 20*h - 9. Let a be l(1). Suppose -d = 3*u - a - 2, -2*d + 5*u = 18. What is y(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -135*a**4 - 1662*a**3 - 6579*a**2 - 8640*a - 2100 = 0.\nAnswer: -5, -2, -14\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 291066527 to the power of 1\/2, to the nearest integer?\nAnswer: 17061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 209 - 1838\/9. What is the common denominator of j and -2*(-193)\/645 - 4\/30*1?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-4 - -12) - 4 - -10.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 137\/5 + -1639\/60. Which is the third smallest value? (a) 4 (b) 2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 2*z**2 - 4*z - 8. Let g be w(-3). Let f(b) = 3*b + 13. Determine f(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 25840775978566 and 0.09?\nAnswer: 25840775978565.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -1629\nAnswer: -4887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -363.9 - -401. Let s = 36.6 - k. What is the closest to 1 in s, 1, 2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28812 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 45473*s - 1909868. Calculate v(42).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 139335164323 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8)\/14*2\/(-4). Let u(s) = 6*s - 84. Let g be u(14). Suppose -5*f + 5*o + 20 = g, f = -0*o - 3*o. What is the closest to f in b, -1, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of 0 + 1\/2*h**3 - 93*h - 3*h**2. Determine y(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.546? (a) 1\/6 (b) 3 (c) 4 (d) 0.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 1190 = 5194. Let v = i - -546. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the second derivative of u**8\/336 - 4*u**7\/315 + u**6\/60 - 11*u**4\/3 + 30*u. Let w(g) be the third derivative of v(g). Let w(h) = 0. Calculate h.\nAnswer: 0, 3\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvpt when four letters picked without replacement from {t: 1, v: 5, a: 1, o: 3, p: 2}?\nAnswer: 1\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4871 - -543?\nAnswer: -4327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9325*k = -4*f + 9329*k - 4, -4*k = -24*f - 3*k + 114 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 106850 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: Suppose 8*i = 2*i - 144. Let p = -12 - i. Suppose h + u = -4*h + 1258, -p = -4*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7190259?\nAnswer: 3, 421, 5693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 328302\nAnswer: 2\/164151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a litre in millilitres?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.61 in -3, 1.2, 4, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -251 - -253. Suppose w*s + 311 = 303. What is the third smallest value in s, -3, -219?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -3. Let v = 22.9 - 24. Let y = m + v. Which is the nearest to y? (a) 5 (b) -5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2231*v**2 + 2578*v**2 + 1766*v**2 - 1479*v**2 to j*v**2 + m + y*v and give j.\nAnswer: 5096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 33\/5 of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvv when three letters picked without replacement from rrgjrrorrrvvjgjj.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 9, o: 1, d: 1}. What is prob of sequence dal?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 9 + 39*d - 25*d + 23.\nAnswer: 14*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.61 (b) 1\/4 (c) 4\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8045\/21 + -383. Let n = z + 1\/14. Which is the biggest value? (a) 1\/9 (b) -3 (c) 0.3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -53 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-3 + -6)) + 99\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5\/5 - 23*b**4\/5 + 337*b**3\/5 + 167*b**2\/5 - 2172*b\/5 - 396 = 0. Calculate b.\nAnswer: -33, -2, -1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4\/3 (b) -4.61 (c) -1 (d) -286\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -177910\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*z - 2*f, 9 = -4*f + 17 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1302?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/648 and (106\/(-16) - 0)\/(7326\/(-74)).\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 8*d**2 + 119*d - 79. What are the prime factors of o(22)?\nAnswer: 3, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -78 - -83. Suppose 2*c = a*r + 724, 3*c - 898 = -3*r + 230. Calculate the highest common factor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 10*a**2 + 2*a - 18. Let i(u) = 2*u**2 - 46*u - 38. Suppose 2*r - 6*r + 3*t = -111, -r + 4*t = -44. Let p be i(r). Give d(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 11*q**2 - 138*q - 266. Calculate b(19).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 6 - 4 + 103423*t + 4.\nAnswer: 103423*t + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/7182 and 59\/4662.\nAnswer: 265734","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (-24)\/240*20\/(-4)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6 + 6 + 81*b + 270*b. Let s be l(-1). Let c = 4153\/12 + s. Find the common denominator of c and -9\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 8*m**2 - 7*m - 11. Let s = -95 + 98. Suppose l - 33 = -5*o - 7, -5*l + 18 = -s*o. Is q(l) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 3*n + 3780 = 0, 0 = 3*i - 4*n + 517 - 3359. Does 34 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 336\/13 (b) -1 (c) 0.1 (d) -4 (e) 8\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 2)*(-4*b + 0*b - 18*b**2 + 8*b**2).\nAnswer: 60*b**2 + 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 7*j + 180. Put 4, -6, j in ascending order.\nAnswer: j, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 23*x**2 - 22*x + 4. Let k be (-2)\/1*(-3 - -14). Let m be g(k). Suppose -m*a = -11*a + 63. Calculate the remainder when a is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 + 104. Suppose -w + 24 = c + 5, 5*w = 3*c + y. Suppose 0 = 3*f + 4*l - 22, 2*f = 5*l - 1 - w. Solve 2*n = -f*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2.326 bigger than 0.05293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3.4. Let d = -68.03 + 67.93. Sort 10, d, n, -0.5 in ascending order.\nAnswer: -0.5, d, n, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1536 plus 5.7735023?\nAnswer: 5.9271023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4, -0.2, -0.1, 51\/80?\nAnswer: 51\/80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (11 - -5)*(-66)\/572. Let s = -6 - -3. Which is smaller: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 433 + -423. What is the least common multiple of 7 and j?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-21)*(-18)\/12)\/(33\/(-2970)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 19\/4 of a century?\nAnswer: 5700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 0*t + 3*t + (2 + 0 + 1)*(2*t + 2*t - 2*t) + 2 - 2 - t + (-2*t + 0*t + 0*t)*(-3 - 2 + 3).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000223 to 5 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -65*g - 5987. What is z(-93)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 366728111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 1 = -2*i + 3*a, -5*a = -i + 7. Suppose -2*o = i*o + 28. Let y be (1\/o)\/(6\/7). Which is smaller: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 70, 227, 530, 1027?\nAnswer: 1766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**2 - 80*s + 196. Let q(v) = 4*v**2 - 79*v + 195. Let t(c) = -3*b(c) + 4*q(c). What is i in t(i) = 0?\nAnswer: 3, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 52*g - 216. What is the hundreds digit of x(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 26382 and 65955.\nAnswer: 131910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, 144, -0.06, -138 in ascending order.\nAnswer: -138, -0.06, 3, 4, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ptp when three letters picked without replacement from ptttytptytyyttpt?\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -43. Let j(o) = -2*o - 5. Let a be j(-6). Suppose 5*p = -3*g + a, -2*g = -4*p - t*g + 6. Solve -3*m + 4 = -4*z, z + p*m + 9 + 3 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from sootsststtss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6842\/13 - 1040361\/1976. Calculate the common denominator of 6\/(-39) - (-6108)\/(-520) and i.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y**2 + 8*y**2 + y**2 - 2*y**2.\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(1300) - (-1 + sqrt(1300)) - sqrt(1300)) + 4 + sqrt(1300) + 1*sqrt(1300) + 1 + -2*-1*sqrt(1300)*4)*-1)**2.\nAnswer: 17280*sqrt(13) + 1685376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.12+0.639\nAnswer: 0.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39277267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9300*i - 4189. What is the hundreds digit of r(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61 - 63. Let f(d) = 551*d**2 + 6*d + 3. Is f(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1594 - 748. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 + 26*q**2 + 23*q - 14. Let z be c(-25). Let i be z*-4*4\/(-32). Suppose -i*y + 9*y + 45 = 0. Solve 0*s + m = 5*s + y, s + 17 = -3*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011001001010111111000 + -100?\nAnswer: 11011001001010111110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 114. Let p(x) = -x + 57. Determine 6*o(r) + 13*p(r).\nAnswer: -r + 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-3521)\/318) + 0. Let h = -22\/795 - c. Let a = 989 + -21691\/22. Find the common denominator of h and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z + 13. Let g be i(0). Determine x so that -3*x - 15*x**2 - 4 + g*x**2 - 3*x = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2533\/1386 + -9\/77. Calculate the common denominator of 53\/1416 and v.\nAnswer: 4248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 22*y**2 - 4*y + 41*y**2 + 0*y - 7 + 22*y**2. Let s(w) = 255*w**2 - 11*w - 20. Let o(r) = -11*q(r) + 4*s(r). Is o(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017945.5 rounded to the nearest 1000?\nAnswer: 1018000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 - (8 - (-165)\/(-15)) is divided by 91?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07251 + 5.23449. Let c = n + -5.3. Let p = c - 0.167. Round p to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/75 - 4\/(-120). Let d(f) = 2*f**2 + 2*f. Let g be d(-2). Suppose 4*v = -4*a + g, 2*v + 3*a - 5 = v. What is the nearest to v in -2\/3, 1, l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 43 = -2*j + 7, -3*j = w + 3. Let f be -1*(-2 + w + -3). Which is the closest to f? (a) 0.2 (b) 0.4 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.8500213 - -0.85. Round i to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45552 and -4.1.\nAnswer: -186763.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 26*c + 17. Calculate r(27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/5)\/(36\/(-90)). What are the prime factors of 50 + (-3 - t - 3)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 59007, 118016, 177025, 236034, 295043, 354052?\n\"Answer: 59009*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 813578.9 centuries?\nAnswer: 8135789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002706075 to six dps.\nAnswer: -0.000271","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 70\/41?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 82 and 17.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2639954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of t**3 - 7. Let r(a) = 42*a**2. Calculate w(r(y)).\nAnswer: 5292*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 - 0. Let a = v + 28. Let h(u) = -u**3 + 6*u**2 + u + 4. Calculate the smallest common multiple of h(6) and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -414 = 5*k + 351. Let v = 129 - k. Suppose 294*i - v = 292*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*c + 47*a - 44*a - 107, 81 + 88 = 26*c + a for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 81, 143, 213, 297, 401?\n\"Answer: y**3 - 2*y**2 + 61*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -2*v**3 - 5*v**2 + 10*v - 10. Let s be y(-7). Calculate the highest common divisor of s and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/30 - x**2. Let q(s) be the third derivative of 0*s**3 + 0 + 0*s + 93*s**2 + 3\/10*s**5 + 0*s**4. What is m(q(z))?\nAnswer: -648*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*o - 2*o + 19, -2*o + 3*n - 1 = 0. What is the remainder when 10 is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 2:54 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -204*y = -95*y - 6431 for y.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2990 and 46575?\nAnswer: 1210950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 53 + -76?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**3 + 11*p**3 - 27*p**3.\nAnswer: -24*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 124625459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2\/3 + 16\/15. Let t = -1000283\/30 + 33346. Let l = -10\/3 + t. Which is the closest to -16? (a) x (b) l (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcyouocuorucuroyprcr. What is prob of picking 1 y, 1 c, and 2 o?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20654 is divided by 6883.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 13*x - 6. Let y(s) = 24*s - 11. Let q(g) = 11*u(g) - 6*y(g). Suppose -h - 4*h = 45. Give q(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 PM and 2:52 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85707877 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 + v - 1. Suppose 4*d + 5*f = -5, 0*f = 5*d + 2*f + 2. Let h be y(d). Which is smaller: -2\/19 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 v when three letters picked without replacement from {r: 3, v: 5}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/3*-78*((-416)\/(-48) - -10). What is the highest common factor of j and 224?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.45199 and -69.\nAnswer: -68.54801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*-1*sqrt(170) + (sqrt(170) - sqrt(170)*-2)*-6)\/(4*-6*(sqrt(10) + 3*sqrt(10) + sqrt(10) - sqrt(10))))**2.\nAnswer: 425\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away 79?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3588 and 161\/33132?\nAnswer: 9906468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - 0. Let i(w) be the third derivative of -w**6\/120 - w**5\/10 - w**4\/12 + w**3\/6 + w**2. Is i(h) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u. Let c(q) be the second derivative of -5\/6*q**4 + 10*q + 0*q**3 + 0 + 0*q**2. Calculate c(m(y)).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 a factor of 32330928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - (5 - -5 - 4)) + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12732591 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*b + 337*b = 1897*b - 41525 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 823.5541 litres?\nAnswer: 823554.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*p = -85*p + 166*p. Solve -7 = -5*n + 4*o, p = -21*n + 20*n + o + 1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 2, u: 2}. What is prob of picking 1 u and 1 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -191*o - 7 + 391*o - 198*o. What is m(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 5*z + 17 - 31, -4*f + 3*z - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.36 + 1.359901. What is s rounded to five dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 59744.\nAnswer: -59744.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5768, -10079, -14406, -18749, -23108, -27483?\nAnswer: -31874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -525221 (base 6) in base 16?\nAnswer: -a68d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48555)\/(-166))\/117*(-3 + 291\/(-5))?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + o + 1. Let q be f(0). Let s be ((-3)\/(-6))\/((-4)\/(-152)). Suppose -c = -v + 2*c + s, -20 = 4*c. Which is greater: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(490)*1)\/(sqrt(100)\/sqrt(5)))**2)*5.\nAnswer: 195\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*(sqrt(272) - (sqrt(272) + sqrt(272) + 2))*5 - (3 + sqrt(425) + 1 + 3)).\nAnswer: 10 + 35*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*s - 61. Are s and 53\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 30 = 2*s, 4*a - s + 6*s + 57 = 0. Let i be (4\/a)\/(6\/152). Let o = i + 12. Do o and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 1 + 12. Let l = 20 - f. Is 7 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*(-14)\/105 + 389494\/6. Let k be 6\/(-4) - m\/(-10). What is k rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7988.3757ns to hours.\nAnswer: 0.00000000221899325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*g - 132*g - 44 = 0 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, b: 10}. Give prob of sequence bbsb.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(11385\/92))\/((-4)\/(-9)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337340282, -674680548, -1012020800, -1349361032, -1686701238, -2024041412, -2361381548, -2698721640?\nAnswer: -3036061682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**3 - 58*x**2 + 77*x + 21. Let m be w(13). Let b = 6 + -6. Let d be 72 - (b\/(-2))\/2. Calculate the greatest common divisor of d and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(1711*o**2 + 551*o**2 + 446*o**2).\nAnswer: 2708*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-8\/7))\/((p*p**(1\/13))\/p)*p**(2\/93)*p**9 assuming p is positive.\nAnswer: p**(93833\/8463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19711354?\nAnswer: 2, 13, 431, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 4*y + 2. Let w be a(-4). Let c(v) be the first derivative of -1\/3*v**3 + 2 + 0*v - v**w. What is the second derivative of c(z) wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.8741, 0.5 in decreasing order.\nAnswer: 0.8741, 0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 - -198.6. Let q = 19 + x. Let u = 0.2 + -3.2. Which is the biggest value? (a) u (b) -1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a century?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6491 - -6500. Sort 10, x, -5, 2.\nAnswer: -5, 2, x, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -336, 9651, -3 in decreasing order.\nAnswer: 9651, 0, -3, -336","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13048357 + -13048351.016959. Let t = s - 5.979. Round t to 4 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/(-65)*(5 - 0) + 20\/(-6). Suppose -20\/9*p**2 - 4\/9 + c*p**3 + 2*p = 0. What is p?\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233818 (base 13) to base 9.\nAnswer: 1514077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -248 + 51*i**3 + 127 + 120 - 5*i wrt i?\nAnswer: 306*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-277)\/((-77560)\/5376)*(-30)\/8\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22851648887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + r = 306, -5*r + 16 + 9 = 0. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2741 (base 12) to base 10.\nAnswer: 4513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 h when three letters picked without replacement from {j: 1, w: 5, y: 2, t: 2, h: 6}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 1 k when three letters picked without replacement from {m: 2, t: 1, y: 12, k: 1, j: 1}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1316)\/196 + ((-6)\/63 - 596\/(-84)). What is the fourth biggest value in -0.3, 0.05, i, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -176179\/91 - -1936. Let d = t - -197\/455. Let m = -5.406 + 5.506. Sort m, d, 5 in decreasing order.\nAnswer: 5, d, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-0.130388\nAnswer: 0.169612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(117) + (sqrt(156)\/(-3*sqrt(12) - sqrt(12)) - sqrt(13)) + 1.\nAnswer: -2 + 7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 2, w: 1, k: 1, z: 1, e: 1}. What is prob of sequence ew?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21660 and 757815.\nAnswer: 57593940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t**5\/3 + 11114*t**4\/3 - 154518*t**3\/5 + 324206*t**2\/15 + 83828*t\/15 = 0 for t.\nAnswer: -1\/5, 0, 1, 38\/5, 1103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {x: 4, u: 4, v: 9}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-98)\/4 + (-2)\/4. Let c = o + 35. Solve 0*x - x + t = -7, -c = 2*t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 9*y**2 + 6*y. Let o(p) = -2*p**2 - p. Let h(l) = 2*g(l) + 11*o(l). Let z(w) = -2063*w + 11*w**2 + 4125*w - 2066*w. Give 8*h(a) + 3*z(a).\nAnswer: a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 2\/13, 4, 0.5, 1, 258?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-2) - (-4 + 3) - -3. Suppose -20 = -4*h, -m*i = -4*h - h + 16. Solve -4*r = -3*c - 7*r + 12, 0 = 3*c - i*r + 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 g, 1 b, and 1 o when four letters picked without replacement from gggobfog?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -1 - 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjmjjmjjjjjjjjjj. What is prob of picking 3 j and 1 m?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -859876138.2 rounded to the nearest 100000?\nAnswer: -859900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.208213 + -0.19751. Round i to four decimal places.\nAnswer: 0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4\/13 - 462*r**3\/13 - 12344*r**2\/13 + 2040*r = 0.\nAnswer: -26, 0, 2, 255","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*l**4 + 4*l**4 + 8*l**2 - l**2 - 9*l**2 + l**3 in the form m*l**2 + i + u*l**4 + d*l + o*l**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + w**2 - w. Let t be o(2). Suppose t*b = 2 - 122. Let f(r) = 2*r**2 + 20*r. Is f(b) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3*o**2)*(-2 + 0 + 5 - o) + 2*o**3 + o - o.\nAnswer: -o**3 + 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lhf when three letters picked without replacement from {y: 4, n: 1, h: 1, f: 1, l: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11426 - -1346015?\nAnswer: 1334256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32428881 is divided by 32428880?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -501.28999 rounded to the nearest 10?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 7, -48, -4, -10 in descending order.\nAnswer: 7, 5, -4, -10, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - n - 1. Let l be h(2). Let m(t) = -t**2 - 7*t - 3. Let o be m(-5). Let y = l + o. Calculate the lowest common multiple of y and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19711?\nAnswer: 23, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*58 - (-2228 + 2328)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*w + 5*q, -4*q = -0*q + 8. Suppose 0 = -g + 2*d, 3*d - 4 = w*g - 1. Let i be (g\/5)\/((-4)\/5). Which is the smallest value? (a) -3 (b) 3\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1161 (base 8) in base 7?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 5:17 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (-3 - 1) + 1. Suppose o = 2*g + g - 138. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) 0.01 (c) -3 (d) -4 (e) 1 (f) -250\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 132 = 4*w. Let t be (-11)\/(-4)*-8*5\/10. Let l = t - w. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oyuuusuuousuyu. What is prob of picking 2 y and 1 u?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-256))\/(6\/12).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(24))\/sqrt(12) + (sqrt(2) - sqrt(50)*-4))**2.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-287)\/35) + 104\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-348)\/(-145)*((-225)\/10)\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 2*k**7\/105 + k**5\/6 - k**2 - 8. Let g(x) be the second derivative of l(x). Find the third derivative of g(h) wrt h.\nAnswer: 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1+-0.351362\nAnswer: 0.648638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - -20 - ((-2)\/(-2) - 1). Let v(l) = -l - 9. Let x be v(-10). Let h = 6 - x. Solve 4*s - 2*p - b + 0 = 0, 0 = 3*s - h*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 PM and 6:04 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 16 = 2*l, 4*v + 4*l - 10 = 9*v. Let p(z) = -2*z + v*z + z. Let y(q) be the third derivative of q**4\/24 - 13*q**2 - 18*q. Determine y(p(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 551601.37 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3199 is divided by 532?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*l + 7. Suppose -4 - 11 = -l*c. Suppose 0*y + 2*y + 5*v - 7 = 0, 4*y + 3*v = 7. Solve c*b + y = -2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 x when three letters picked without replacement from {e: 4, q: 2, r: 2, x: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 6. Let g be -6 + -1 + 5 + -2. Determine v(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29812 divided by 5?\nAnswer: 29812\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89 divided by -4019.\nAnswer: -89\/4019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o + o + 3*o)*(5 - 5 + 2*o**2) + 6*o**3 - 5*o**3 + 5*o**3)*((-2 + 3 + 0)*(1 - 3 + 1) + 1 - 1 - 2 - 1 - 1 + 0).\nAnswer: -50*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 916919 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, f: 4}. What is prob of picking 3 f?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -528079 or -5808855\/11?\nAnswer: -528079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + -12 + 61 - (30 + -1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, f: 9, q: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 0. Let y = -1 + z. Suppose 2*q - 6*q = -y*o - 30, 0 = -5*q + 3*o + 40. What is the remainder when 9 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -72, -75, -78, -81, -84?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 6 - 3) + 6 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h - 20. Let g be u(-10). Calculate the highest common divisor of 10 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*t**5\/5 - 3093*t**4\/5 - 6957*t**3\/5 - 4881*t**2\/5 - 531*t\/5 + 54\/5 = 0 for t.\nAnswer: -3, -1, -2\/9, 1\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(105)\/(6*sqrt(175) + sqrt(7)))\/(-1*(-3*sqrt(243) + sqrt(243))) + 4.\nAnswer: sqrt(5)\/558 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 7:01 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 4*p**2 + 2*p - 4. Let n be z(4). Suppose 6583348 = n*i + 2183348. What is i rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + r + 0*r = -17, 47 - 100 = 6*t - 4*r - 79 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 34 = 5*s. Suppose -g - s*g = -425. Suppose -5*h = -5 - g. What is the remainder when 34 is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hsk when three letters picked without replacement from klshc.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*z - z + 40, -5*z - 24 = -b. What is the remainder when 25 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -2*l - o + 12, -4*o = 4*l - 8. Suppose l*x - 2*x - 15 = 0. Let q(p) = p**3 - 3*p + 5 - 4*p + x*p**2 + 2*p - p. Determine q(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4654 - 27827\/6. What is the common denominator of t and 31\/33 - 12\/18?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 552?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1102624*g*q**3 - 3*g*q**2 + 447905*g*q - 2*q**3 - 2*q wrt q.\nAnswer: -6615744*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = m + 2. Does 3 divide (-55)\/(-22) - m\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**7\/7560 - c**6\/1080 - c**5\/360 - c**4\/12 - 2*c. Let p(x) be the third derivative of i(x). Factor p(t).\nAnswer: -(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 30315.83 weeks?\nAnswer: 18335013984000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -4534?\nAnswer: 4540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 9*c - 5. Let z be o(5). Suppose -6*k + z = u - 3*k, -5*k = 4*u - 139. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -146835.3552 rounded to the nearest one hundred?\nAnswer: -146800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 AM and 3:27 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**2\/19 + 8\/19 = 0. What is k?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 227296688167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-65)\/2*(-1)\/((-915)\/(-244))\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {h: 1, n: 9, a: 2, g: 5, c: 1}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -162301, -162346, -162391, -162436?\nAnswer: -162481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 134108 and 335270.\nAnswer: 670540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -534*p + 161*p - 1064*p to o*p + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u**5\/3 + 20*u**4\/3 - 100*u**3 = 0 for u.\nAnswer: -10, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 5*b + 4*b + 3*b)*(5 - 35 + 9) to v*b + d and give v.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -66430 or -132859\/2?\nAnswer: -132859\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**9*j*(j*j\/(j**(-5\/6)*j))\/j)\/(j**(-1\/2)*j*j**(-1\/12)))**13)**(-42) assuming j is positive.\nAnswer: j**(-11375\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*j + 2*j - 5*j)*(49 - 6*j - 49)*(-3*j**2 + 2*j**2 + 2*j**2) to q*j**2 + i*j**4 + d*j + m + o*j**3 and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*b - 2*b + 20, 0 = c - 4*b - 22. Let a(w) be the second derivative of 0*w**3 + 19\/12*w**4 + 0 + 0*w**c + 2*w. Let v(h) = -h**2. Give a(v(j)).\nAnswer: 19*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 322747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3702319.\nAnswer: 5\/3702319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14346640 by 616.\nAnswer: 23290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/234 and 121\/1686.\nAnswer: 65754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17 by 3.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4416248 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 808329011 to the nearest integer?\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 453527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128397, -256796, -385195, -513594, -641993, -770392?\nAnswer: -898791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -33. Let d = b - -60. Let o = 58 + d. What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5076\/13 + -28097\/65. Let w = u + 42. Which is the smallest value? (a) w (b) -0.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -797 - -26303\/33. Which is greater: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321163 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 - 1189496*w**3 - 134465040*w**2 + 272498552*w - 136844020 = 0. Calculate w.\nAnswer: -115, 1, 297487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:59 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksstkkk. What is prob of picking 1 t and 2 k?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ajaj when four letters picked without replacement from ajajjjaaaajjjjja.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t**3 + 2*t**2 - 1. Let i be j(-1). Let k = -2\/15 - -1\/45. Let w = -2 - -2.5. Which is the smallest value? (a) k (b) i (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34712 (base 8) in base 3?\nAnswer: -202021221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -13. Is 2 a factor of 12\/((-2)\/d*-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -11 + (-112)\/(-42) + 8. What is the second biggest value in q, 167, -3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 70.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*b**2 - 2*b - 5*b**2 + 17*b**2 - 9*b as x*b**2 + j*b + m and give j.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23917*n - 1891*n - 20133*n - 1893*n + 37*n**3.\nAnswer: 37*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 47. Let x = 665 + -664. Solve 4 - x = -c*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -8, 18, 72, 160, 288, 462, 688?\nAnswer: 972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -43*b + 475. Suppose 5*a = -4*f - 0*f + 11, 5*a = f + 16. Does b = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 0.4, 1\/6, 0.2, 1\/13, 2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 806 - 752. Calculate the remainder when 112 is divided by i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2372984473 + 0.384275?\nAnswer: -2372984472.615725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -11.99999943. Round n to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -1. Let j = k - -3. Suppose 2*s = -4*i - 22, -3*s + 2*i = -j*s - 7. Do s and 3\/8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-30)\/(-5) + 1 - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 g when three letters picked without replacement from {y: 1, g: 2, q: 3, i: 3, m: 1, j: 2}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373*h**2*j**3 - h**2 + 187*j**2 wrt j?\nAnswer: -2238*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -87 (base 10) to base 14.\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.136*0.05.\nAnswer: -2.1068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9 - b?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.1. Let h = 574 + -573.9. Let x = -310\/253 - -24\/23. Which is the nearest to x? (a) h (b) m (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p**2 + 3*p - 1. Let w(i) = -i**2 + i. Let k(l) = -2*w(l) - y(l). Determine k(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17 or -29?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**3 - 26*d**2 - 186*d + 1220. What is x(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -8*25\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2561, 4862, 6785, 8330, 9497?\n\"Answer: -189*u**2 + 2868*u - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(20)*4 - sqrt(20))*-1 + sqrt(320) + -4*sqrt(320) + sqrt(320))\/((-2*sqrt(100)*2)\/((sqrt(110)*1)\/sqrt(11))).\nAnswer: 11*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 19. Let r be z(5). Let m be (26\/(-3))\/(84\/(-18) - r). Suppose -2*v = -3*v + m. Calculate the remainder when 23 is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 - 19. Suppose 2*b + k = 5*b. Let v be 0\/(-3 - (-4)\/1). Sort v, b, 2 in decreasing order.\nAnswer: 2, b, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*j + 17144 + 4618 = 0. Does 10 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23223.2708 - 23228. Round u to 1 dp.\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -5*p + 1, -2*p + 4*g + 26 - 16 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4741*z**2 + 121. Let i(p) = -79*p**2 - 2. Determine 121*i(x) + 2*m(x).\nAnswer: -77*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4*(-3)\/1. Let r = -1338 - -1339.4. Put r, 4, k in decreasing order.\nAnswer: 4, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*n + 93*n - 45*n)*(2*n - 2*n + n)*(-2 + 2 - n**3) + (-3*n + 5*n - 4*n)*(2*n**4 - 4*n**4 + 6*n**4) + 0*n**5 + 3*n**5 - n**5.\nAnswer: -26*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 54375505*w**2 + 2*w. Let p(q) = 2*q**2. Give g(p(s)).\nAnswer: 217502020*s**4 + 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from {f: 1, e: 4, p: 5}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 1\/7 (b) -0.04 (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 3*h - 5*h + 13, -2*s + 6 = 2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -279*f**3 + 182*f**2 + 276*f**3 - 149*f - 182*f**2 + 149*f.\nAnswer: -3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n**3 + 4*n**3 - n**3 + (-1 + 1 + 2)*(-2*n**3 + n**2 - n**2) - 17*n**3 - 153*n**3 - 664*n**3 to x*n + o*n**2 + r*n**3 + y and give r.\nAnswer: -837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66201498 is divided by 500?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/10*5 + 6638 + -1. Suppose -12 = -5*j + 3, -i + u = -j. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3441727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*x**4 + 241*x**2 - 5007250*x wrt x.\nAnswer: 504*x**2 + 482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-33)\/44)\/(9\/8). What is the closest to 0.1 in n, 1\/2, -0.5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b - 4. Let u be j(8). Suppose r - u = f + 44, -r = -2*f - 110. Let z = f - -231. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*v**2 + 12 - 35*v**2 + 17 - 4 - 20*v.\nAnswer: -5*(v - 1)*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70133.\nAnswer: 7, 43, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 133 + -135. Let g(q) = -q**2 - 5*q + 2. Let z be g(-5). Let w = 8 + -4. What is the biggest value in m, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.877 - -1.477. What is the second smallest value in x, -4, -5, -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86081.62nm in centimeters?\nAnswer: 0.008608162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-162)\/(-36)*(-3)\/36. Which is the closest to 3\/5? (a) w (b) 1\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164 = -5*b + 154 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24707359?\nAnswer: 23, 439, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -223009509893 + 186.\nAnswer: -223009509707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -13\/3, -3, 5398, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/14*(-1)\/3.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117724 by 6196.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3*(2\/(-3))\/((-19)\/(855\/(-1890)))\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 1\/27, 228, -0.5, 13?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -142 - 266*k - 246*k + 53 + 506*k. Calculate p(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*i**2\/7 + 78*i\/7 + 15\/7 = 0. What is i?\nAnswer: -5, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i - 5. Let d = -49 - -59. Calculate x(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -67, -130, -193?\n\"Answer: -63*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000702475 rounded to six decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**5 + 52*y**4 - 76*y**3 - 292*y**2 - 168*y = 0. Calculate y.\nAnswer: -14, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -8*m**5\/5 + 7*m**4 - 20*m**3\/3 + 2114. Find u such that w(u) = 0.\nAnswer: 0, 1, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 2*g = -3*a + 167709, 3*a - 503132 = g. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (1 - 1) - (13 - 5 - -11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(66)\/sqrt(6) - sqrt(11))*-1*6 - ((sqrt(110)\/(-1*sqrt(10)) - (sqrt(132) + sqrt(132) + (sqrt(132) - -2*sqrt(132)) + sqrt(132))\/sqrt(12)) + 4).\nAnswer: -4 + 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -2, -7, -187 in ascending order.\nAnswer: -187, -7, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50170?\nAnswer: 2, 5, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000215783335 rounded to seven decimal places?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*s)*(6*s**2 + 5*s**4 - 4*s**4 - 3*s**2).\nAnswer: 2*s**5 + 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) - 716392\/(-36). What is y rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133 - (-13 + -9 + 111).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13 + 6*b + 7*b - 2*b. Let i be f(12). Suppose -5*z - i = -685. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 14*x - 30. Let m be o(2). Let w(t) = 6*t**2 - 45*t - 4. Does 117 divide w(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + 249*b - 3709. Calculate q(14).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*v - v. Let a = v - -8. Find the second derivative of a*c**5 + 2*c - 2*c**5 + c**5 wrt c.\nAnswer: 40*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -307*f - 1911. What is n(-6)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7961 + -1.\nAnswer: 7960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202 a factor of 6998044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 783 + 184. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(-312)\/(-13). Suppose -j - 5*t + g = -11, -2*j + 2*t - 2 = 0. Let q(d) = d**2 - d - 1. Determine q(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18063.33 centuries in millennia?\nAnswer: 1806.333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*v + 0*v = -12, -2*q - v + 8 = 0. Suppose -22 = -3*k - 4*j, 2*k + q*j - 6*j = 22. What is the least common multiple of k and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*a - a. Is (-174)\/(-2 + -1 + a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1095 - -0.0369. Round j to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -45*n. Let s(t) = -56*t**2 - 13. Calculate u(s(w)).\nAnswer: 2520*w**2 + 585","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, x: 2, c: 1, f: 2, p: 1, t: 1}. Give prob of sequence pbft.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*y**3 - 11 + 11 + 2*y**3 - 3*y**2 + 3*y**2 + (0*y**2 - 4*y**2 + 6*y**2)*(y - 3*y + 3*y) + (-174*y**2 + 174*y**2 - 21*y**3)*(-1 + 2 - 2).\nAnswer: 33*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 2*i - 1. Let g(v) = -3*v**2 - 12*v + 4. What is g(p) + 6*r(p)?\nAnswer: -9*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -5*q**2 - 100*q. Let h(s) = -s**2. Let b(p) = 4*h(p) - x(p). Let t(g) = -1293*g**2 + 433*g**2 + 442*g**2 + 419*g**2. Give b(t(i)).\nAnswer: i**4 + 100*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/((-40)\/16))\/(1\/15). Suppose -6*s + 17*s = b*s. Solve 4*d + v = 15, -4*d + s = 3*v - 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -8, -49, -128, -257?\nAnswer: -448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -276745*l - 1937200. What is q(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 less than -871?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113.24 + 115.24. What is the closest to -1 in -5, 314, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d + 2*d + 661*d**3 - 3*d + 3*d.\nAnswer: 661*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fourty-five halves of a meter?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 507.\nAnswer: 507.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 117.02 + 1.98. Let z = w - 114. Which is the smallest value? (a) 0.09 (b) z (c) -2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 + 28*d + 155. Suppose -6*q = -9*q - 66. Let h be l(q). What is the greatest common divisor of 529 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 650 and 1090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -6*r. Suppose r = -x - 1, -2*u + 2*x = 2*u - 162. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-15)\/(-130)) - 1. Let b be u\/3*(-60)\/(-50). What is the greatest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8477700 by -3300.\nAnswer: -2569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 32161409587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 4 (b) -1\/25 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -188111370531.\nAnswer: -188111370531.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4616838 divided by -81.\nAnswer: -56998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2844 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120222311333 (base 4) to base 10.\nAnswer: -6466943","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3*m + 3*m - 5*m)*(3 + 15 + 0) + (4 + 2*m - 4)*(-1 + 2 + 0).\nAnswer: 20*m - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c + 2 + 3*c + 0*c)*(-18965 + 18965 - 2296*c) to n*c**2 + f + x*c and give x.\nAnswer: -4592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 14, 77, 0.1, -2\/3 in increasing order.\nAnswer: -1, -2\/3, 0.1, 14, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4 and 95\/3518?\nAnswer: 7036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6392340 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1177, -4657, -10457, -18577, -29017, -41777?\nAnswer: -56857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 10. Let n(u) = u**2 - 12*u + 3. Let i(g) = -2*g**2 + 25*g - 6. Let a(b) = q*i(b) + 5*n(b). Let h be (12 - (-16 - -34))*-1. Give a(h).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (3 - (-4 - -1) - 3) - 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*v = -24. Let a be (-1)\/1 - (68 + -63). Let w(s) = 2*s**2 - 3*s + 16. Let h(t) = t**2 - t + 7. Let d(r) = a*w(r) + 13*h(r). Calculate d(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-3 + 1) - (-42 + -56 + 83)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + -17. Put -1, t, -2 in descending order.\nAnswer: -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-353*p**2 + 178*p**2 + 174*p**2 + 78*p)*(7*p**3 - 3*p**3 + 0*p**3).\nAnswer: -4*p**5 + 312*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do 980010 and 979945 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94735\/46838 - -1\/8516. Calculate the common denominator of -71\/66 and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0086334 to four dps.\nAnswer: -0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21738901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1053) + -1 + -5 + sqrt(1053) + -1 - ((1 + sqrt(1053))**2*2 + 3 + -2).\nAnswer: -2114 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486948 and 3570.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -378 - -373. Sort -6, l, -4.\nAnswer: -6, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 45. Let r be (-2)\/(-15) + 172\/60. Suppose 3*l - 33 = r*k, 59 = -4*k - 2*l - 3. What is the remainder when 6 is divided by j(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78871 is divided by 1291.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5912285 is divided by 1294.\nAnswer: 1293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 5*o = -0*o - 7*o + 40, 5*o = w + 66 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 67*j**2 + 273*j + 41. What is p(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {a: 4, k: 3, y: 1, h: 1, d: 5, r: 3}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -8*l**2 + 624. Let c(t) = -19*t**2 + 1248. Determine -3*c(p) + 7*u(p).\nAnswer: p**2 + 624","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 311.507 take away 6130?\nAnswer: -5818.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1028 and 21074.\nAnswer: 42148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -26020+3608734.3002\nAnswer: 3582714.3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10570 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 7*g - 111. Does 192\/5 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 2.\nAnswer: -10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from xxaztuutw.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 + s**3 + s**3 + s**3.\nAnswer: 8*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 247. Let p = s + 80. Let v = p - -72. What is the nearest to 0 in v, 4, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 652410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18926670*r + 18926503*r - 22879 for r.\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 784 + 44445. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*l - 0 - 3, 4*n + 18 = -l. Let x = 313\/70 - 32\/7. Which is the second smallest value? (a) x (b) n (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2095901 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 331 divide 226073?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 7*m - 7*m)*(5 - 5 + 3 + (0 + 5 - 3)*(-5 + 4 + 3)).\nAnswer: -98*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1606*r**3 - 3*r + 3*r + 0*r.\nAnswer: 1606*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 3964*v + 3957*v - 11874*v + 3953*v + v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.9 - -9. Let z = -15 + 15.2. Which is the nearest to 0? (a) z (b) g (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17\/((-204)\/(-667500))*(-15 + -1). What is x rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*q**2 - 20*q**2 + 18*q**3 + 56*q**2 - 14*q**2 - 57*q**3.\nAnswer: -39*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, b: 4}. What is prob of picking 1 k and 1 b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -405, 0.04, 0.091, -1\/3, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5 + 0.5021. What is b rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 70 = -3196. Let j be -2*o\/(-12)*-2. Suppose -5*x = -25, -x + 8 = -2*r + j. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 - 1022*n + 7674. Determine o(94).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -13*v**2 - 9*v + 11. Let f(u) = -3*u**2 - 2*u + 3. Give -2*c(r) + 9*f(r).\nAnswer: -r**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -268965, -537766, -806567, -1075368, -1344169, -1612970?\n\"Answer: -268801*f - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/(-1) + 2 + -18. Let q = -15993 + 15972. Is q != b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 251 + -153. Let f = -13.7 + 97.7. Let h = f - q. Is h at most as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 AM and 12:30 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -399, -916, -1645, -2586, -3739, -5104?\nAnswer: -6681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -137*g - 129. Let q(w) = -11*w + 149. Let i be q(14). What is the tens digit of k(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 63210.\nAnswer: 379260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108974, -220748, -332522, -444296, -556070, -667844?\nAnswer: -779618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 5*p - 133 = 0. Let t be 3154\/p + 2\/(-14)*-2. Let u = t + -25. Do u and -3\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -792120 + -7?\nAnswer: -792127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -19*s + 0 + 37*s + 24 - 23*s - s**2. Let d be a(3). Solve 0 = v + 2, -v + d - 17 = -3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1 + (-116)\/(-18) - -3 and 0 + (-2)\/(112\/553).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 + 2 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -39, -47, -67, -105, -167, -259, -387, -557?\n\"Answer: -t**3 - t - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -15*f**3 + 26*f**2 - 13*f - 11. Is o(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*k = 4, 0 = 6*q - 4*q - 2*k + 2. Let m = -475\/6 + 79. Which is the closest to -3? (a) q (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w + 9. Let c(u) = 34*u + 2. Let f(p) = c(p) - 2*l(p). Let n(h) = -h + 1. Give -3*f(o) - 48*n(o).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/85536 and 77\/64.\nAnswer: 171072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 - 12*y**2 + 4*y + 12.\nAnswer: -4*(y - 1)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 429769 is divided by 28570?\nAnswer: 1219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3102456 and 83258.\nAnswer: 4382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 763847 at least as big as 763845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 1 + -4 - -5. Let o(b) = 4*b. Let y be o(2). Let g = 11 - y. Solve h - g*k = 3*h, p*h + 2*k = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*20\/(-16)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*h - 4*u = -183*h + 80, 5*u = -4*h - 64 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 19. What is the smallest value in 5, -1, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.472? (a) 2\/4263 (b) 0.1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23758.\nAnswer: 2, 7, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1537489, 1537491, 1537493, 1537495?\nAnswer: 1537497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -10*a - 50. Let k = -16 + 36. Is 1*k\/a + 925 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/6, -5, -2, -0.01?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 7. Let o = b - 1. Let n be (-1)\/(-5) + (-38)\/90. Sort o, 4, n.\nAnswer: n, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + (6 - 6 - (-142)\/2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 4. Let c = 34 + u. Calculate the greatest common factor of 18 and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmjmjmijmijiij. Give prob of sequence mjmm.\nAnswer: 25\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*l + 2*l. Let f be 22*l*20\/(-40). Let n = f - -4. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*n)*((-n - 2 + 2)*(-5 + 0 + 3) + 3*n - 6*n + 4*n + 3*n - 3 + 3 - 46*n - 15*n + 17*n) + 3*n**2 - 3*n**2 - 4*n**2.\nAnswer: -80*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -70506, -69655, -68806, -67965, -67138, -66331?\n\"Answer: -i**3 + 5*i**2 + 843*i - 71353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -547, -686, -917, -1240?\n\"Answer: -46*a**2 - a - 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**3 + 56*w**2 + 260*w + 400 = 0 for w.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.043\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 128265534 to the power of 1\/2, to the nearest integer?\nAnswer: 11325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/27*6\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of j**3\/3 + 1. Let d(i) be the second derivative of 0 + 1\/3*i**3 + 0*i**2 - 63*i. Give d(m(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9 - 0. Let y = 40 - 41.3. Let h = x + y. What is the biggest value in h, -2\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kvrw when four letters picked without replacement from {x: 5, k: 4, w: 2, r: 3, v: 5}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that a**4 + 899*a**3 + 44810*a**2 - 694748*a - 1561560 = 0.\nAnswer: -845, -66, -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.073685 centuries to months.\nAnswer: 10888.422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 260 = -577*l + 468*l + 1459. Let t(u) = -u**2 + 2*u**2 + 1 + 3*u - 3. Let g be t(-4). Solve 3 = g*b + l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/9 + 429476*i**3\/9 + 23056204322*i**2\/9.\nAnswer: 2*i**2*(i + 107369)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -1. Let k(f) = 4*f**3 - 3*f**2 - 5. Let z(s) = -2*s + 3. Let n be z(4). Let t(u) = n*i(u) + k(u). Find the third derivative of t(m) wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 19*d - 87. Let v be w(8). Let n(s) = -5*s - 4. Let f be n(-3). What is the greatest common divisor of f and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 119371286*f**3 + 27 + 22 + 119371264*f**3.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b + 122 = 770. Let o be 1 - (2 + -1 - 2). Suppose -5*k = o - 42. What is the remainder when b is divided by k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((175\/42)\/(-5))\/((-30)\/9)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20776 + 20786. Let z be (-1)\/(1\/2 - -2). What is the smallest value in m, 1, z, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/10, 16001\/4, 2\/35, 5?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 4*w**2 - 2*w - 4. Let q be g(3). Let o be 3\/2 - 3\/(-12)*2. Put -2, o, q in decreasing order.\nAnswer: o, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2107.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-288)\/(-204) - 860\/(-1462). Factor -12 - 5*d + 11\/2*d**p.\nAnswer: (d - 2)*(11*d + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -6*k**2 + 5*k + 3. Let q(l) = -l**2 + l + 1. Let c(d) = -m(d) + 4*q(d). Give c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w**4 + 105*w**3 - 525*w**2 + 750*w = 0 for w.\nAnswer: 0, 5\/2, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103642 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14762 (base 8) to base 3.\nAnswer: -100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by 5783.\nAnswer: 38\/5783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.97 + 24. What is the third smallest value in m, 2, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 238635970.\nAnswer: 2, 5, 17, 71, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3983330 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 7*h**2 - 12*h - 23. Give t(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 126 (base 9) to base 4.\nAnswer: 1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + r + 15. Let o be y(0). Let q be 20\/8 - 1104\/(-96). Which is smaller: o or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 386 + -386.00157. What is j rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*p - 48, -p + x = 3*x + 8. Is -11 equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.88*10080.2\nAnswer: -8870.576","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 - -254?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/28*8\/(-146). Let t = d - -1072\/12775. Let z = 2 + -3. Which is the smallest value? (a) t (b) 1\/6 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(0*n + 4 + 13 - 2*n) - 5 + 5 - n.\nAnswer: -5*n + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 + 3*j - 2. Let g be d(2). Suppose 5*u - 4*u = g. Let o be (1 - u)\/((-3)\/(-9)). Solve 2*q + 6 = s, o*s + 3*q = -0*q - 9 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 620502 (base 9) to base 16\nAnswer: 59ccf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-three eighths of a litre?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ki when two letters picked without replacement from xixkxtkxt.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -2*a. Let i be (-4)\/5*(-5)\/a. Find the third derivative of -p**2 + 0*p**i - p**5 - p**5 wrt p.\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1772 - -1710. Which is the closest to d? (a) -0.5 (b) 4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*w**2 + 23*w**2 + 18*w**2 - 335*w**5 + 224*w**5 + 29*w wrt w.\nAnswer: -6660*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 2*v - 3. Suppose 10 = 4*h + h. Let n be t(h). Solve 4*o + q - 11 = -2*q, -5*q + 30 = -n*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 + 109 = -4*f, -b = 5*f - 29. Solve b*r = 3*p - 0*r + 2, -p + 5*r = 8 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m**1\/m))**(-2\/9))**(-3) assuming m is positive.\nAnswer: m**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 402848, 3222770, 10876842, 25782140, 50355740, 87014718?\n\"Answer: 402846*l**3 - l**2 + 3*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**5\/5 + 297*t**4\/5 - 1065*t**3 + 6579*t**2 - 65772*t\/5 + 37908\/5 = 0.\nAnswer: 1, 2, 9, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*-1*-2 + -1 + sqrt(833) + 2)*-6)**2.\nAnswer: 1512*sqrt(17) + 269928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -528 + 1470548452?\nAnswer: 1470547924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 3:40 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + -1*sqrt(931))**2.\nAnswer: -70*sqrt(19) + 956","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 14. Let n be t(11). Suppose -n = -7*d + 6*d. Solve -d - 7 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4746, -7445, -11938, -18219, -26282?\n\"Answer: o**3 - 903*o**2 + 3*o - 3847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9192 and 12365538?\nAnswer: 2298","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -287.98 + 291. Let j = x + -0.02. Let u = -261 - -523\/2. Sort 2\/19, u, j.\nAnswer: 2\/19, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 37?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d - 4. Let j(r) = -3*r - 4. Let z = 23968 - 23965. Determine z*a(c) - 2*j(c).\nAnswer: -3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1753000 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y + 17. Let s be x(14). Let d = s + 29. Let u be -8*4\/d*-3. Which is greater: -3 or u?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104, -211, -318, -425?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 20. Calculate l(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1550000*o. Let f be y(-2). What is f rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2550*c**4*y**2 - c**3*y + 2*c**2*y + 8776*c*y**2 wrt c.\nAnswer: -61200*c*y**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46612*s**5 - 7907*s?\nAnswer: -932240*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 23*d - 29. What is i(24)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gdkk when four letters picked without replacement from {w: 1, g: 2, k: 3, d: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 20*s + 55. Let o(t) = 5*t + 23. Let k be o(-4). Let r be u(k). Solve -a + r = 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2 + 4*p + 2. Let r(y) = -y**2 - y - 1. Let c(x) = -2*r(x) - s(x). Find the second derivative of c(h) wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -22\/3*c**3 - 31 + 16*c + c**4 + 10*c**2. Factor m(v).\nAnswer: 2*(v - 4)*(v - 2)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 - 59.91. Let m = 0.090468 - z. What is m rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.1 + 41. Let d = p + -7. Let l = 0.6 + d. Put -2, -0.05, l in increasing order.\nAnswer: -2, l, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1217 - 965. What is the highest common divisor of v and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -295780 or -295781?\nAnswer: -295781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 5, 6, -1\/1032, 0.2, 1, 0.\nAnswer: -1\/1032, 0, 0.1, 0.2, 1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.3 - -2.3. What is the closest to k in -2, -4, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -7 - 12*y - 1 - 6 - 4. Let f be o(-3). Solve -5*q + f = -7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1732 - 6348 = 367*m + 6600 for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is 1936577 rounded to the nearest 1000?\nAnswer: 1937000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 + t**2 - 2*t**2)*(-2*t**2 + t - t) + 17*t**4 - 18*t**4 + 6*t + 6*t.\nAnswer: -3*t**4 + 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3, -13, 0 in descending order.\nAnswer: 3, 0, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 5*g. Let y be c(-4). Let z be -13*1\/11 + (-8)\/(-44). Sort -4, z, y in increasing order.\nAnswer: -4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 574\/157?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 5*n**2 + 4*n**2 - 5*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 371?\nAnswer: -222.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = -5*p - 133. Let u = 0 - p. Suppose 4*t - 35 - u = 0. Solve -2*f + 24 = f + 4*l, 0 = 3*f + 5*l - t for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -75 and 2.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -229 + v + 197 + 24 + 924*v**2 as j*v**2 + o*v + r and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (11 + 10 + -22 + 10).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*w = -16*w - 116. Does 5 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**4 - 1156*p**3 - 12535*p**2 + 68700*p = 0?\nAnswer: -1145, -15, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*j - 32 = 0, 4*j = j - 15. Suppose -2*y = -597 + 491. What is the remainder when y is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -202 - 523?\nAnswer: -725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1506689 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464677891 + 3008*c + 464677891.\nAnswer: 3008*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 5*n + 4. Determine f(4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -309927363905\/37019875746 + 175711\/854923. Let g = 2\/7217 - k. Calculate the common denominator of -11\/138 and g.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/14 and 31\/156398?\nAnswer: 1094786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 16177, 16176, 16175, 16174?\n\"Answer: -g + 16178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (-7)\/((-175)\/170). Put -0.1, -4\/7, d, -5 in decreasing order.\nAnswer: d, -0.1, -4\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -225851*g + 22444 = -225489*g for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*h - 945 = -1510 - 1571 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*r + 3246 = 0, -p - 60*r + 55*r = -803. Is p at least 811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 - 5 + 2*k**3 - 2*k + 0*k + 2*k as f*k**2 + t*k + i + n*k**4 + b*k**3 and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -243 + -4?\nAnswer: -247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**2 + 25*r - 7. Let g(h) = h**2 + 9*h - 2. Let b(l) = 17*g(l) - 6*i(l). What is b(6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**2 - 5*c + 5. Let k be l(6). Let o = 351 - k. Suppose 5*w = t - 28, 4*t + 2*w + 2*w = o. Is 15 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 258, 385, 512?\nAnswer: 639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6513.2 + 6517.2. Let m be 10\/(-14) - (3 + -4). What is the closest to 27 in 0.3, -4, g, m?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 346712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6377 is divided by 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77\/30 - -12\/5. Let s = -0.049 + -0.441. Let p = s - 0.01. What is the closest to 1 in j, p, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a - 3*a**2 - 3*a**2 + 7*a to l + j*a**2 + v*a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -316 divided by 5\nAnswer: -316\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*p = 4. Let o be ((-20)\/(-6))\/(p\/12). Let b = 19 + o. What is the remainder when 17 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 3153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2315 - 0.0165. Let r = 22.5 + -25.8. Let c = j + r. What is c rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33660590 rounded to the nearest 100000?\nAnswer: -33700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -30. What is the highest common divisor of d and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-333)\/63 + 9 + 321\/21?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/36*-6)\/((-18)\/8). Is t at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23340 by 2610.\nAnswer: 778\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + (0 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3330 divided by 18?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 5:14 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x. Let u(r) = -3*r + 23. Let m be u(17). Let s = -20 - m. What is the least common multiple of s and o(7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) -9 (c) -5 (d) -1\/16 (e) 604.7 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 683761, 1367525, 2051289, 2735053, 3418817, 4102581?\n\"Answer: 683764*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2810 and 2110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -60, -137, -244, -381, -548?\nAnswer: -745","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53 (base 8) to base 6.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3185 + 3252. Calculate the remainder when v is divided by 6*4 + 0 + 0.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*l - 3. Let c = -3 - l. Suppose -c*k + 10 + 10 = 0. Solve -3*z + 14 = 5*t - 26, -t = z - k for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - n - 4)*(0 - 3 + 5 + (-1 - 7 - 1)*(-2 + 0 + 3)) + 3 + 2*n - 3.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-9))\/s)\/(s\/s**21*s))\/((s**(2\/35)\/s)\/s**5) assuming s is positive.\nAnswer: s**(558\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 550.524 rounded to the nearest 10?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -3*m**2\/5 + 882*m - 13203\/5 = 0.\nAnswer: 3, 1467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -17, -5 in ascending order.\nAnswer: -17, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -427 - 460826?\nAnswer: -461354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 3\/19 (c) 4\/21725\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y**4 - 65*y**3 + 120*y**2 - 45*y = 0. Calculate y.\nAnswer: 0, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 48 = 3*s, -57 = -4*s - 0*s - 3*d. Suppose -4*p + 5*g + 143 = -p, 43 = p + 3*g. What is the remainder when p is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.1 (b) 6 (c) 3\/2 (d) 4\/3 (e) -2\/5 (f) -1.94 (g) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1144 - 273. Let m = -591 + a. Is m a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 4 - (0 + 9 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-84)*2*172\/215.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*x + 608*x - 199*x - 205*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101001100001 + 101?\nAnswer: 1001101001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -355590 to the nearest ten thousand.\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 50 = 3*a - 2*p, 4*a - 3*p - 74 = 0. Solve a = c + 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4216373495 to the nearest integer?\nAnswer: 1616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1919.9 + 1920. Which is the closest to -1? (a) 0.4 (b) x (c) -2\/499 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/(16 - -2))\/(1\/6). Which is greater: b or 4\/21?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-40)\/2880*936)\/(0 - 2 - 9\/(-5))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 176*n**2 - 417*n + 17704. Determine h(-173).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 + (5 - -2 - 5)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 164531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 3*j**2 - 2*j + 4. Suppose 3*n - 6 = n. Let z be v(n). List the prime factors of (z\/4)\/((-2)\/48).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 869754971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303 by 9955.\nAnswer: 303\/9955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/49*(-56)\/(-2). Suppose 3*j = 5*q + f, 10 = 5*j - 2*q + 3. Solve 0 = 3*o - j - 2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 9, 3\/2, 0.06, 26, -3?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q + 9. Let r be n(-4). Calculate the least common multiple of ((-2)\/r - (-56)\/26) + 25 and 9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 838 - 834. Suppose -i - 11 = -2*i. Let a(y) = 2*y**3 - 4*y**2 + 3*y + 4. Let q(p) = -6*p**3 + 11*p**2 - 8*p - 11. Calculate i*a(o) + m*q(o).\nAnswer: -2*o**3 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -106317507*n**2 - 8184693 with respect to n.\nAnswer: -212635014*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.307 rounded to 1 dp?\nAnswer: -44.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -54 + 42. Let g be (1 - 1) + (d - -9). Let a(u) = 3*u + 2 - 1 + 1. Determine a(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 64 - -30. Let t = -89 + i. What is the smallest value in 3, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 43\/3 of a day?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6107b (base 12) in base 6?\nAnswer: -2412235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 66 + 161 = -w, -2*s = 6. Is -84 at least w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 21*v**3 - v**2 - v + 16. Let x(u) = -u**3 - u**2 - u - 1. Let b(h) = s(h) - x(h). What is the first derivative of b(t) wrt t?\nAnswer: 66*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of 7*z**7\/30 - 7*z**6\/30 - 3*z**5\/4 + 7*z**4\/6 - 2*z**3\/3 - 6*z**2. Suppose s(f) = 0. What is f?\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 35, 61, 83, 101, 115?\n\"Answer: -2*l**2 + 32*l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113487 is divided by 390.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2289\/2 + 1140. Suppose 0 = q - 5*q + 20. Suppose 2*b + b = v - 7, 5*b + q = 3*v. Which is bigger: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**4\/24 + 2*z**2. Let r be v(2). Solve 26 = -3*x + 5*g, 5*g - 30 = r*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -5, 13 in descending order.\nAnswer: 26, 13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Suppose y = 2*m - 0*m - 4*w - 26, 2*m - 18 = 2*w. Solve -2*l + 2*u = 0, 4*l = -m*u - 31 - 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 55 and 19930009.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1c181e (base 16) in base 4?\nAnswer: 13001200132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*y + 33*y - 52 + 157 - 15*y.\nAnswer: 2*y + 105","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027143345 rounded to 7 decimal places?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*(-4)\/((-24)\/27)*-2. Let x(a) = -8*a - 19. Is x(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 3*i + 1. Let s be q(-2). Let t = -42 - -24. Let y be ((-9)\/t)\/((-1)\/(-4)). Put 5, y, s in descending order.\nAnswer: 5, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -55791234, -111582469, -167373704?\n\"Answer: -55791235*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h + 212*h + 6750 = -224*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 h when two letters picked without replacement from {f: 2, e: 1, o: 1, h: 2, s: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + 0 + 9 - 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*p + 439 - 3006. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n + 6 = 0. Let i be 86\/(-161) - (n - 3). Let p = i - -9\/23. Which is the second biggest value? (a) p (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**3 - 2*s**2 - 3*s - 6. Give y(-3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, 40, 0.2, 419 in decreasing order.\nAnswer: 419, 40, 3, 0.3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 70 - (343 + -301 - (19 - -3))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.092 + 0.108. Which is the second smallest value? (a) -0.4 (b) -1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2795412 to the nearest integer?\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 374 - q**3 - 2*q - 371 + 5*q - q**2 to k*q**3 + u*q + b + w*q**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1972 divided by -2\nAnswer: 986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 times 1083?\nAnswer: -43320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 3.4 (c) -5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30401 - 1?\nAnswer: -30402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7d (base 16) to base 2.\nAnswer: -1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 8 + -8 + 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(75) + sqrt(75) + -2 + 4*sqrt(75)))**2 - (((1 + sqrt(75) + sqrt(75))*-6)**2 - (sqrt(75) + (sqrt(75) + 1*sqrt(75)*3)**2))) + -4.\nAnswer: -1195*sqrt(3) + 1176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -2*j + 5. Let d(k) = 2*k - 6. Let r(s) = 5*d(s) + 6*i(s). Let w(g) = 2*g**2 - 2*g - 6. Let x be w(5). Let h(f) = -2*f + 34 - x. Determine h(r(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 16578393 to the power of 1\/4, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8443 is divided by 1687?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, -30, 167 in decreasing order.\nAnswer: 167, 48, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = 4*s + 228, -4*s - 6511*q - 447 = -6518*q - 131 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2008091881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/4*(-66)\/77. Suppose 80 = -k + v*k. What is the remainder when k is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -3)\/(-4 + -22).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -4, -1, -5.\nAnswer: -5, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vggvgggvgggggggggg. What is prob of sequence ggg?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113, -284, -455, -626, -797?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 21. Let i be w(-17). Let c be i - (29 - -1)\/(-6). Solve 3*j + 2 = -c for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 5*j**2 - 13*j - 217. Let y be t(10). Let v = 23 + -113. Let x = y + v. Is 21 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*c + 86*c - 1260. What is the highest common factor of c and 558?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.1. Let t = 0.1 - z. Let j = 14 - 14.4. What is the closest to t in -3\/2, j, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-11)\/(-2))\/((-1)\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 58390509 to the nearest integer?\nAnswer: 7641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(45)\/(sqrt(45)\/sqrt(5)) + sqrt(5) + (sqrt(420)\/sqrt(7))\/sqrt(12)).\nAnswer: 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/16 + (2\/4 - (-15)\/300). Which is the nearest to 3\/127? (a) -3 (b) x (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b - 1. Let s(n) = 5*n**2 + 788*n + 31207. Let h(d) = -2*l(d) - s(d). Factor h(x).\nAnswer: -5*(x + 79)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1992 and -115\/24.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + 1 + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1083150262 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*u**2\/11 + 2446*u\/11 - 700\/11.\nAnswer: 2*(u + 175)*(7*u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -5.85.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000446673031 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 138 by 6.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -27, -27, -11, 27?\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in five quarters of a kilometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -11, -94, 3, -2, 4, -321\/14, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -20 + -7 + -4 + -13.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1216) + -6*(2*sqrt(1216) - sqrt(1216)) + sqrt(1216))*4)**2 - ((sqrt(1216) - ((sqrt(1216) + 0)*-6 + sqrt(1216))) + -3)**2)*-4.\nAnswer: -1070044 - 1152*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4422+0.023\nAnswer: -4421.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 256 = 3*l + 5*s, -5*l - 4*s - 441 = 0. Let w = l - -138. Suppose -o = -w - 83. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 40 = -6*y. Suppose 0 = -4*q - q + y. Suppose 3*h = -5*x + 5, x - q*x + 3 = h. Solve -3*f + 4*i = 2*i - 8, 5*i + h = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.222925 seconds?\nAnswer: 222925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0996305*-0.3.\nAnswer: -0.02988915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -45*n**2 + 2058*n + 552. What is z(46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a862 + 3?\nAnswer: -a85a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 - 6*j**3 + 10*j**3 + 18*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t = -368 + 48 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -630.999733 + 631. What is f rounded to 5 decimal places?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 32 = 2*p, -p + 2*p + 5*z + 19 = 0. Suppose 0 = 3*w - 3*q - p, -4 = w + 5*q + 6. Suppose w = -6*b + 4*b + 38. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 38. Let a be v\/4 + (-36)\/(-8). Solve -4*u + 5 = -a*b + 17, 2*u = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 14 = -s. Suppose -4*c = -s*z + 44, -16 = 2*z - 3*z - c. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*q - 448 = -33*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 27.5. Which is the third biggest value? (a) t (b) -0.7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.99 - 0.01. Let r = -5 - d. Which is the second biggest value? (a) 3\/5 (b) r (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/67738 or -1?\nAnswer: -17\/67738","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2027?\nAnswer: 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43\/20 + -12\/5. Which is the third biggest value? (a) -1 (b) 2\/11 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3215 is divided by 534?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 59027110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8372 by 4.\nAnswer: -2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i - 4. Let d be y(3). Let u be (-22)\/24 + d\/3. Let h = 0.29 - 0.29. Which is the third biggest value? (a) h (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-2 + (-12)\/4) - (-2 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1\/53, 0.19.\nAnswer: -3, 1\/53, 0.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -16371 + 110983321\nAnswer: 110966950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.767 times 16.77?\nAnswer: -29.63259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (186*g**2 - 13*g**3 - 186*g**2)*(7 + 0*g - 2 + g) + g**4 + 0*g**4 + 4*g**4.\nAnswer: -8*g**4 - 65*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 4*v - 5215, -2*v - 4*u + 3*u = -2611. Is 6 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -n**3*t - 235822*n*t**2 - 16*t**2 - 2160*t wrt n?\nAnswer: -3*n**2*t - 235822*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 272 (b) 0.068 (c) -4 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -26032963?\nAnswer: -26032963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/10 and -161\/41724?\nAnswer: 208620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14460*g**2*z + 353*g*z - 2*z wrt g.\nAnswer: 28920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 651 and 8029?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/18*2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47872.47 kilometers to centimeters.\nAnswer: 4787247000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 192312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 27456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001704406 rounded to 7 dps?\nAnswer: -0.0001704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.616 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r - 22. Let z be o(22). Suppose z = -4*a + 6*a - 6. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 282 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -270*m**2 + 30475*m - 200095.\nAnswer: -5*(m - 7)*(54*m - 5717)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-9)*(18\/4)\/(30\/((-7650)\/15))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzggzzgggggg. What is prob of sequence gzzg?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 48, 8, 2, 0 in ascending order.\nAnswer: -174, 0, 2, 8, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2037711 is divided by 51?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve -10176 = -42*p - 10890 for p.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*(-45)\/24)\/(12\/72). Calculate the highest common divisor of 115 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**2 + 109*k**2 - 35*k**2 - 32*k**2.\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - -1.3. Let s = -7955 - -7954.6. Which is the third biggest value? (a) 0 (b) s (c) 4\/9 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11445 at least as big as -9968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 278 and 22.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1*-6 - sqrt(228)) + sqrt(228) - (1*sqrt(228) + sqrt(228))*5)\/(sqrt(132)\/(sqrt(66)\/(sqrt(12)\/sqrt(2)))).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.3974 plus 7115.628?\nAnswer: 7106.2306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - u**2 + u. Let a(v) = -12*v**3 + 14*v**2 - 12*v. Let r be -3 + 6 - 5\/1. Let n(b) = r*a(b) - 20*d(b). Let n(z) = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10311824?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*f + 229*f + 3064 + 13655 = 2254 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 0 - 18)*(6 - 3 - 4)*(2*l**2 - 3*l**4 - 2*l**2) in the form n + a*l**3 + w*l**2 + d*l**4 + f*l and give d.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4633 divided by -88\nAnswer: -4633\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6560962?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 48 and 3.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9519780 - -5?\nAnswer: 9519785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1243*v - 1396*v - 1954*v.\nAnswer: -4593*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 16*h + 5. What is the remainder when b(16) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j**3 + j**2 - 2*j. Let y be (0 + 5 - 7) + 15\/5. Give i(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 35 - (3 - 23)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/21675 and 23\/3740.\nAnswer: 953700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11.09202 centuries?\nAnswer: 13310.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/12)\/(((-16)\/(-28))\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*j + 3*z, -z + 18 = 2*j + z. Suppose -2*y - 2 = j. Let m = -3 - -1. Put y, -1, m in descending order.\nAnswer: -1, m, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - q - 2)*(-5 + 4 + 2) + (-5*q - q - 3*q)*(2 - 3 + 2))*(0 + 2 + 0) as i*q + c and give i.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/6 (b) -1 (c) -2093\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 84781 - -3?\nAnswer: 84784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3700 and -1523046369.\nAnswer: -1523042669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/6462448 and 49\/48.\nAnswer: 19387344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.7 and 117.3?\nAnswer: -199.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**3 - 4*l**2 - 6*l + 11. What is y(2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 3*r + 4*r)*(2*r - 3*r + 2*r)*(39 + 0*r - 46 + 2*r)*(5*r**2 - 4*r**2 - 3*r**2).\nAnswer: -24*r**5 + 84*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 + -1212211?\nAnswer: -1212144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0052295724 to five decimal places.\nAnswer: -0.00523","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/15294 and -73\/10196.\nAnswer: 30588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -k + 3. Let p(q) = q**2 + 5*q + 1. Let m be p(-5). Suppose -5*z + 4 = -6. Solve m - k = z*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -24*d**2 - 13*d + 3. Let w(j) = -277*j**2 - 144*j + 32. Let b(s) = -69*u(s) + 6*w(s). Factor b(n).\nAnswer: -3*(n - 5)*(2*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/585 and -113\/18.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 464 (c) 8 (d) -2 (e) 0.3 (f) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36 + 41. Suppose 25 = 5*o - p. Suppose 25 = o*c - 11. What is the greatest common divisor of 4 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1188 is divided by 19.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8332094?\nAnswer: 2, 4166047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7848)\/(-64))\/(-9) + (18\/(-30))\/(128\/80).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 3, 3*p = q - 15 - 0 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2350 - 1585. Is 9 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19.548 - 0.048. Let z = w + -2.5. Let x = -17.1 + z. Are x and 1\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 2*j - 64 = 0. Let x(b) = 31*b - 34. Let g be x(3). Let c = g + j. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23756515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/36 and 2\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.74314 kilograms in micrograms?\nAnswer: 59743140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124*o - 59*o + 5*o**3 - 65*o.\nAnswer: 5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(4\/11))\/(i*i*i\/(i*i*i**8*i*i)*i)*i**(-8)*i*i**(-6\/7) assuming i is positive.\nAnswer: i**(116\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 123911771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250, 501, 752?\nAnswer: 1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/30*(-306)\/(-4). Let d = j + -18. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21024 is divided by 21012?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - (-6)\/(-10). Let x be s\/(-2)*(-1 - -1). Let m = -13 - -8. Put m, x, -3 in descending order.\nAnswer: x, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22163, 22217, 22315, 22457, 22643, 22873?\n\"Answer: 22*z**2 - 12*z + 22153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23167915, 23167910, 23167901, 23167888?\nAnswer: 23167871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5842*x**3*z**2 + x**3*z - x**3 - 153971*x**2*z**2 wrt x?\nAnswer: -35052*z**2 + 6*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 + 68*f - 62. Give y(-8).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -215\/3. Suppose -36 = 3*g + 3*f, 4*f + 28 = -3*g - 6. Sort l, g, 0.5.\nAnswer: g, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1162 divided by 40\nAnswer: 581\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 22*y**2 + 4*y + 4. Let j = -30 + 26. What is the remainder when (-3908)\/(-60) - j\/(-30) is divided by a(-1)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 0, -10, 2\/7 in ascending order.\nAnswer: -10, -0.3, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7735298303\/444 + -17421834. Let i = -115\/37 + y. Let v = 1\/2074 - -126511\/6222. Calculate the common denominator of i and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3825 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4668?\nAnswer: 2, 3, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/6 + 3 + (-57)\/18?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5874 and 770.\nAnswer: 205590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47522 is divided by 4751.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 2)*(57*j + 34*j + 10*j) to the form o*j + c and give o.\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9017 + -8925. Calculate the highest common divisor of g and 11178.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3050061478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275457241.\nAnswer: 2699, 102059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 876.33519 to one dp.\nAnswer: 876.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*r**2 - 40*r**2 + 25*r**3 + (4*r**2 - 2*r**2 - 3*r**2)*(-2*r + 2 - 2).\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**2 + d**3 + 5*d**2 + 2 + 4*d**3 + 4 - 7 - 8*d**3 + 0*d**3 + 4*d**3 + (2*d**2 + d**2 + d**2)*(-3*d + 0*d + 2*d).\nAnswer: -3*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3200 divided by 2?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 79.03. Let h = 0.03 + g. Which is smaller: 0 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/5)\/1*(-2)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4698269 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*u - 1778 = -95. Calculate the greatest common factor of u and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 542215.\nAnswer: 271107.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 7:53 AM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13))**(14\/3) assuming s is positive.\nAnswer: s**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6 = y, d - y + 2*y = 0. Solve d*n = -1 - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15304, -1, 4, 184, 4\/9 in increasing order.\nAnswer: -1, 4\/9, 4, 184, 15304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 784168580 to the power of 1\/2, to the nearest integer?\nAnswer: 28003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdedxedddfdfxxxeex. Give prob of sequence xf.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 11*h - 4. What is m(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v - 3*k + 18, 2*v - 3*k + 8 = -0*k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -192666 bigger than -192671?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1675 + -1687 + 2 + -3 + 0 + -37.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -49 - -45. Let h = y + 4. Let p = 5 + -9. Sort p, h, 3.\nAnswer: p, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 23 = r, -5*r = -3*r - 4*t + 16. Let w(k) = 30*k - 3. Let y be w(r). Let j = y - 26. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46.86 + 1.\nAnswer: 47.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 - -2 - 7) + 2. Is 3\/830 greater than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 30*h + 31. Let z be s(29). Solve -z*w + 37 = 3*w - 3*v, -w - 2*v - 3 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20329814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 + 34 + -3 + (-1 - 0) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 12*l + 1. Let p(g) = -368*g**2 + 5520*g - 460. Let c(k) = 920*a(k) + 2*p(k). Let u(t) = -16*t. What is c(u(y))?\nAnswer: 47104*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) -2\/79 (c) 0 (d) -5 (e) 4\/7 (f) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 111651?\nAnswer: 111648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -l + 4. Let h(r) = -r**2 - 2*r - 5. Let p(k) = -2*k**2 - k - 1. Let f(z) = 7*z**2 + 6*z + 9. Let u(c) = f(c) + 3*p(c). Calculate l*u(g) + 4*h(g).\nAnswer: -g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21063 + 166416?\nAnswer: 145323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*y = -636. Let z = -453 + y. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ohhooohohhovovohhho. Give prob of picking 2 v and 2 o.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 204397800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 245 by 2.\nAnswer: 245\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:32 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5175491mm to micrometers.\nAnswer: 517.5491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -0.3, 3, 0.3, -1\/3, -154?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 78125.56ml?\nAnswer: 78.12556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 - 15*l**2 - 12*l - 2. Let j be z(-15). Let b = -114 + j. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107324 is divided by 206?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -108*y + 56 - 65 + y**2 + y**2 + 36 + 6 to the form p*y + d + z*y**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10986164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (71\/(-710))\/((-2)\/(-4))*-2\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 189*j**3 + 8*j wrt j?\nAnswer: 1134*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i = 120 - 120. Suppose 0 = -5*l + 186 - 56. Suppose -2*s - l + i = -2*g, 3*s + 27 = 2*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*c + 85361 - 85361.\nAnswer: 40*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*4818\nAnswer: 14454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + 0.76. Let j = -1.7933649 + 2.6133568. Let s = j - z. Round s to six decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128010 to the nearest one thousand.\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185 + 499 = -9*s. Let m = 9 - s. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 21, 26, 41, 72, 125, 206?\n\"Answer: k**3 - k**2 + k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgfftxgxmxwg. What is prob of sequence xm?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14819590, -29639129, -44458668, -59278207?\n\"Answer: -14819539*w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + 26. Let r(d) = -29 + g - 4*d + 389*d**2 + 3*d. Is r(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282517766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 42\/(-70) - (-218713)\/55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u**4 + 6139*u**3 - 18942*u**2 + 12728*u = 0.\nAnswer: -6364\/75, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-4\/17)*g**(2\/7) assuming g is positive.\nAnswer: g**(6\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -35, -1\/4, 0.1, -0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 714449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tx when two letters picked without replacement from bcxtntcb?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 6:59 PM?\nAnswer: 6:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 9420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d - 5. Let i(x) = 2*x - 6. Let s be i(-3). Determine r(s).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukfuxk. What is prob of sequence xk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1578, -6416, -14480, -25770, -40286, -58028, -78996?\nAnswer: -103190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-22)\/(-14))\/(25\/70*(3 - (-182)\/(-70)))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 11. Suppose n = -5*y + 6. Is 187 - ((1 - y) + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24205 (base 6) to base 12\nAnswer: 2065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c + 1 - 19*c - 34*c - 1.\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) -1 (c) -3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -61, -48, -13, 56, 171, 344, 587?\n\"Answer: 2*a**3 - a**2 + 2*a - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.9 (c) -1\/7 (d) 2 (e) -10\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**4\/5 - 10437*q**3\/5 + 73173*q**2\/5 - 115023*q\/5 + 10458 = 0.\nAnswer: -3486, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 348051 and 1272.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1703*h**2 - 3543*h**2 + 2*h - 1703*h**2 - 2455*h**2.\nAnswer: -5998*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101101110 (base 2) to base 16.\nAnswer: -36e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 122*v + 53*v + 33*v to g + j*v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 924?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-116)\/(-8))\/((-1)\/2). Let c = z + 29. Is 7 a factor of (15 - c)\/(-5) + 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 14) to base 15\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 10672520. Let n(s) = -2*s. Give n(t(k)).\nAnswer: -4*k**2 + 21345040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of -1849*n**3\/15 + 2236*n**2\/5 - 2704*n\/5 - 9144. Determine i so that b(i) = 0.\nAnswer: 52\/43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/282460 and 139\/2088?\nAnswer: 5084280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 245 is divided by 134.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 537.3 + 10.7. Let i = -625.3 + p. Let q = 77 + i. Put 1, q, -1\/2 in ascending order.\nAnswer: -1\/2, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2. Let r(i) = 468*i - 152*i - 156*i - 156*i + 18. Determine r(c(y)).\nAnswer: -4*y**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 490\/60 - 1\/6. Let v(x) = -x**3 + 15*x**2 - 9*x + 2. Let i be v(l). Suppose -6*k = -i - 1020. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 11\/8 of a micrometer?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21142728 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4676, -18484, -41660, -74336, -116644, -168716?\nAnswer: -230684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 - 74. What is the fourth biggest value in 2, -0.3, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-10))\/(2\/(-10)) + -2. Put -2, 3, w, 21 in descending order.\nAnswer: 21, 3, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33644 by 4.\nAnswer: -8411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 68542 (b) -80 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Let x(o) be the first derivative of -4*o - 3 + o**2 + 2\/3*o**v. Factor x(r).\nAnswer: 2*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0046949 and 535865?\nAnswer: 535864.9953051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 6*r - 2. Suppose -t + 0*t = 7. Let h be g(t). Suppose -3*o + 10 + h = 5*u, o = 4*u + 22. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.988 - 10.32. Round o to one decimal place.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 149072?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 269281 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -3688343?\nAnswer: 37\/3688343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36410 + -17\nAnswer: -36427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 145103 (base 8) in base 14?\nAnswer: 14c27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/3*24\/44.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 4*t - 1. Suppose -36*g + 950 = -34*g. Let r = -478 + g. Calculate x(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3\/2, -3, 3, -0.959?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 47*n**2 - 3*n - 143. Give w(-47).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6842 >= 7407?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/3 - 4*l\/3 - 5\/3.\nAnswer: (l - 5)*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 20*b**2. Let g(h) = 6*h + 4. Let p(z) = -2*z + 1. Let a(v) = -g(v) + 4*p(v). What is t(a(s))?\nAnswer: 3920*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 14, l: 4}.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:29 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 83*n**2 + 174*n - 157. Let z be t(85). Solve -z = j - 185 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 x when two letters picked without replacement from rhxxoixoruhrhhx.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153364 is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 461693 - 461693 - 2*d**3 + 18*d**2 - d to t + w*d**2 + k*d**3 + l*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 343.716 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 78 = 3*p. Let y = p + 17. Is (y\/3)\/((-9)\/2103) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -0.1, -58, -1\/2, 3, 1\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 15*z**2 - 2*z - 1. Let x be l(-1). What is the greatest common factor of 16 and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111022112 - -101120?\nAnswer: 1111201002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 32 - 1\/4*h**4 - 7\/3*h**3 - 8*h + 3*h**2. Give d(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 206*q - 12582. Calculate u(107).\nAnswer: -1989","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23981.\nAnswer: 23981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002816224 to 7 dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(140))\/sqrt(10))\/(sqrt(700)*1 + sqrt(7)).\nAnswer: 4*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -86 - (-40 - (-71 - -101))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2462\/12 + -3 + (-10)\/60*1. Let c = 181 + -254. Let w = g + c. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.020847*-95\nAnswer: -1.980465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2) - ((sqrt(10)\/sqrt(5) - sqrt(2))*3 - sqrt(2))) - (sqrt(72) + 2*sqrt(72)*1).\nAnswer: -16*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 163703, 163640, 163533, 163382?\nAnswer: 163187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -5 - (22 + -8 - 14)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1228345122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 7 = 1, 0 = -2*p + k - 78. Let r = p - -42. Suppose 0 = r*j + 5*j - 1740. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:25 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*j + 3. Let q(u) = u**3 + 3*u**2 + 4*u + 2. Let n be q(j). Calculate the remainder when (-3 - 3)\/(n\/9) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2 + 3552*p - 1051392 = 0.\nAnswer: 592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11523 + 25856. List the prime factors of c.\nAnswer: 11, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209636 and 756?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49831005?\nAnswer: 3, 5, 7, 474581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7ec8c (base 15) to base 10\nAnswer: 404457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4541 times -0.51\nAnswer: 2315.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 113 + -110. Differentiate -4*u**i + 19 + 11 + 25 - 3 + 3*u**2 with respect to u.\nAnswer: -12*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**2*u**3 + 29*f**2*u + 4*f*u**3 - 214*u**3 + 65*u**2 wrt u.\nAnswer: -12*f**2 + 24*f - 1284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 495065411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -d**2 + d + 2. Let h(b) = -2*b + 1. Let j(r) = -24*r**3 + 24*r**2 + 7*r - 1. Let x be j(1). Determine x*h(k) - 5*v(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -781118061.\nAnswer: -781118050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g**3 + 5*g**3 - 5*g + 2 + g**4 - 5*g**3 to d*g + l*g**2 + x*g**4 + k + u*g**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4797 or -4765?\nAnswer: -4765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -786, -1568, -2358, -3162, -3986, -4836, -5718, -6638?\n\"Answer: -x**3 + 2*x**2 - 781*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ok when two letters picked without replacement from vvokeookrkddv?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 4*y**3 + y**3 - 148*y - 60*y - 60 + 2*y**3 - 13*y**2 + 22*y**2 = 0.\nAnswer: -6, -2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6523 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39 + -99. Let t = 54 + j. Let m(q) = -q**2 - 1. Let y(c) = -5*c**2 + 3*c - 6. Let k(z) = t*m(z) + y(z). Factor k(o).\nAnswer: o*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 8:35 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-12)\/u)\/(u*u\/(u\/(u*((u*(u**(3\/17)*u)\/u)\/u)\/u))*u))**(-2\/165))**(-29) assuming u is positive.\nAnswer: u**(-4988\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -390 by -26.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4172\/(-8) + 10\/4. Let v = k - -956. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 9 = -3*t - 0*t, 1 = 3*d - 2*t. Suppose 6*c - 5*c = -d. Let a(v) = 5*v**2 + 4*v - 1. Let i(o) = -o**2. Let m(g) = a(g) + 4*i(g). Determine m(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(-1*sqrt(1331) - sqrt(1331))**2.\nAnswer: -21300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -131473, 4, 1 in decreasing order.\nAnswer: 4, 1, -131473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(11) + sqrt(704))*5 + sqrt(11)).\nAnswer: -276*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5767982.\nAnswer: 2, 11, 19, 13799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.3. Let i = -1.98 + 2. Sort 0, i, m in descending order.\nAnswer: i, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 20\/4 + -5 + 3. Suppose -5*b = z*y - b + 9, 3*y + 3 = -2*b. Is 16 a factor of (10\/(-8))\/(y\/(-192))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 230 and 2064595.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2387212 rounded to the nearest ten thousand?\nAnswer: -2390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 385 - 15396?\nAnswer: -15011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/21)\/((-8)\/(-60)*5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1155 + -0.114957. What is b rounded to four dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 5 = 7. Suppose -a = 2 + 2, z*w - 192 = -3*a. Let r = -42 + w. Which is smaller: 31\/4 or r?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 22 - 42 = 3*y, 19*o + 3*y = 140 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 17*d - 5. What is the units digit of z(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -33. Let n = r + -21. Let o = n - -16. What is the third smallest value in o, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/2 (b) 0.3 (c) -22\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 40. Which is the biggest value? (a) u (b) 1\/4 (c) -1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1399*u - 8873 = 9127 + 12778 for u.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3074 + 2916 = 91*f + 4079 for f.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55484, 55483, 55482?\nAnswer: 55481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 - (22 + -3 - 20 - (4 + 4 - -5)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520.1507 millennia to years.\nAnswer: 520150.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93856 = 908*u + 810*u - 255*u + 96334 for u.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*x - 63 = -77*x. Let f be (2500\/2)\/(x\/448). Round f to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -3*o + 54. Let c(d) be the second derivative of -1\/80*d**o - 1\/120*d**6 + 3*d + 0 + 0*d**2 + 1\/24*d**4 + 0*d**3. Factor c(g).\nAnswer: -g**2*(g - 1)*(g + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.7. Let s = 14.45 + -14. Let t = s - -0.05. Sort t, d, 2\/21 in ascending order.\nAnswer: d, 2\/21, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 92, 211, 380, 599?\nAnswer: 868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.1656 rounded to 1 dp?\nAnswer: 16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = 370 - 58. Suppose 19 = 5*r - 4*o, 6*o - o = -r - 2. Suppose 126 = 4*g + r*l, -3*g - l = l - 95. Calculate the least common multiple of y and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 - 47*l**2 + 94*l - 29. Is q(-51) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72.84983 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 6*r**2 + 7*r + 1. Determine m(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.68 - 2.23. Let h = m + 0.05. Let d = -1.4999 - h. Round d to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 194667*t**2 - 71*t - 326. Let w be b(27). What is w rounded to the nearest one million?\nAnswer: 142000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 11:07 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -212 by 1.\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h**2 - 10*h**2 + 5*h**2.\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2174.\nAnswer: 2, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t - 1. What is the least common multiple of 2 and g(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -4, -3\/5, 136?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 21*b**2 - 76*b - 1168. Let p be w(-23). Calculate the greatest common divisor of p and 1794.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -537780 (base 12) to base 15.\nAnswer: -1b0eb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v + 5. Let m(i) = -i - 4. Let t(b) = -4*k(b) - 5*m(b). Let y(r) = 2*r. Let c(q) = 3*t(q) - 2*y(q). Let s(f) = -3*f. Calculate s(c(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 4*c + 21 = 6, f + c + 3 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 50 or 49?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145 + -238. What are the prime factors of 4*6\/8 - t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**3 + 2*m - 3. Let a be s(2). Suppose o - 3*j + 435 = 0, 3*o + 2*j + 751 = -609. Let d = o - -453. What is the greatest common factor of d and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(1\/7))\/r)\/(r\/(r\/(r*r*r**(1\/7)))*r*r))\/(r**7\/((r\/((r**(4\/5)\/r)\/r))\/r*r)) assuming r is positive.\nAnswer: r**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/35 + (-671)\/(-220)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -423, -408, -393, -378, -363, -348?\n\"Answer: 15*r - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from leqqqyqyq?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*130\/(-468)*114\/(-10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3740 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(280)\/(sqrt(40)\/sqrt(4)))\/(-6*sqrt(12)\/sqrt(3)) + 5 + -1 + sqrt(112) + ((sqrt(112) + sqrt(112) + 0)*-3)**2.\nAnswer: 23*sqrt(7)\/6 + 4036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (3 - (-10)\/5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/8*(2 + 0). Let j = v + 1. Suppose 0 = -3*h - 3*c + 3, -2*h = -4*h - 3*c. Solve -5*k + j*k = -h for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipp. Give prob of sequence ip.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1623 = 34*o - 29*o + 3*v, o + 5*v - 329 = 0. Let x = 344 - o. Calculate the least common multiple of 100 and x.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*c**4 + 34*c + 10 - 2*c**3 - 31*c + 5*c**4 as v*c**2 + z + o*c + d*c**4 + t*c**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 14*s**2 + 19*s + 3. Let i be n(9). Suppose -2*t + 4*q = -i, -2*t - 192 = -3*q - 694. What are the prime factors of t?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -334\/1403 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p - 6*p + p**2 + 4*p**2 - 23*p.\nAnswer: 5*p**2 - 19*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -63 - -61. Let c be 6\/(-4)*(-210)\/9. Let w = c - 14. Sort r, w, -1 in ascending order.\nAnswer: r, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(32)\/sqrt(2))\/sqrt(2).\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*d*o*s - 5*d*q**3*s + o*q**3*s + 3*o*q**3 - o*s - 2*q wrt o.\nAnswer: -10*d*s + q**3*s + 3*q**3 - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 84, 9, 1, -2, 4, 23 in ascending order.\nAnswer: -14, -2, 1, 4, 9, 23, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, q: 1, w: 3, u: 1, j: 5, r: 2}. What is prob of picking 1 j and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.9 - 3. Let f be (-8)\/48 + (500\/(-24))\/1. Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 + 11. Let c be -1 + (p - -2) + 3. Solve 3 = -u - c*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209402341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 2795?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2076, -6394, -12956, -21762?\n\"Answer: -1122*q**2 - 952*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**2 + 80*l - 5. Calculate k(13).\nAnswer: 190","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-7))\/((-9)\/36))\/((-18)\/63).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1130103 (base 4) to base 3.\nAnswer: 22002210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -15*z - 43. Let x(k) = -5*k - 14. What is 4*f(y) - 11*x(y)?\nAnswer: -5*y - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9.21 - -0.21. Let d = a + 9. Which is bigger: -0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -13 - bc5?\nAnswer: -c08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1484 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5\/4 + 94605*j**4\/4 - 189207*j**3\/4 + 94603*j**2\/4.\nAnswer: -j**2*(j - 94603)*(j - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 25 - 24 - 3*d)*(0 + 4*d + 0) to k + m*d + r*d**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-8))\/(1\/(-9))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -29604.7108 rounded to the nearest ten?\nAnswer: -29600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 divided by 522.\nAnswer: 11\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 126*r - 291. Let c be l(4). Sort -3, c, -4, -2.\nAnswer: -4, -3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1736654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1307*g + 55944 - 7585 = 0 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*q**3 - 39*q**3 + 434*q - 310*q**5 + 40*q + 17*q**3 + 11*q**3 wrt q.\nAnswer: -6200*q**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23599 - 14756. Is k a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-1)\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 - 20*d. Let x be w(10). Suppose -6*j - 15 = -j. Which is smaller: j or x?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, 37, 91, 147, 205?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3\/7, 207, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25867 (base 14) in base 12?\nAnswer: -45443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/5 + 1149017*g**2\/5 - 2298031*g\/5 + 229803.\nAnswer: -(g - 1149015)*(g - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 12) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1753675 = 609*o - 527639. What are the prime factors of o?\nAnswer: 2, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -10*g + 78. Suppose 17*u - 27 = g*u. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8607.793 centimeters to millimeters.\nAnswer: 86077.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 35515 (base 12) in base 11?\nAnswer: 49868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-6)\/4*19\/152.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 24, -4, -4\/1285, 1?\nAnswer: -4\/1285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (98 - 81) + 2 + -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + (3 + sqrt(125) + 0)**2)*5 + 3)*-5.\nAnswer: -3365 - 875*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 5*o**2 - o + 4. Let n be d(4). Let y be n\/(-12)*(-6)\/(-4). What is the units digit of 8\/(-20) - 34\/y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 + 18*b + 107. Let q(x) = -x**3 + 31*x**2 + 268*x - 53. Let s be q(38). Calculate o(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t + 15. Suppose 0*f - 17 = -d - 2*f, -t*d + 4*f + 15 = 0. What is the highest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)\/(d**9\/d))**(2\/19) assuming d is positive.\nAnswer: d**(-18\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 8*a**3 + a**2. Let v be w(1). Let c = -5 + v. Which is greater: c or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (17773170\/35 + 3\/21)*18\/45 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -9*i. Let j(t) = 1. Let k(f) = -8*f - 8. Let z(n) = -8*j(n) - k(n). Determine -5*d(q) - 6*z(q).\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58363421.\nAnswer: 19, 31, 99089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + r - 21 - 66 + 21 = 0, 298*u = 295*u + 4*r - 56 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -85378, -163948, -242518, -321088, -399658?\nAnswer: -478228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 36\/179 - -12064\/537. What is the common denominator of 52\/111 and l?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 15 = -4*p - 2, -4*h + 23 = -p. Calculate the remainder when 38 is divided by (-11)\/(-1) - (p + 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0004858748878 to five decimal places.\nAnswer: -0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 6*x = 60. Let y(v) = -4*v + 47. Let s be y(x). Let k(i) be the first derivative of i**3\/3 - 7*i**2\/2 + 5*i - 1. Determine k(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 9*v - 9. Let j be x(7). Suppose t = -24 + j. What is t rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*m**3 + 41*m**5 - 89*m**3 - 14*m**2 - 13*m**5 wrt m.\nAnswer: 1680*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12161 + 12158. Let a = -9 - -11. Sort -4, i, a, 0 in decreasing order.\nAnswer: a, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/4 + 15\/84\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 12*n - 12. Let a(l) = -2*l**2 + 25*l - 23. Calculate -4*a(y) + 7*s(y).\nAnswer: y**2 - 16*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 2*n. Let q be t(-10). What is the units digit of -4*(-2)\/4 + -3 - q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2102805*p - 2967 = -2102676*p for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 + 3*j**2 + 27*j + 17. Let q be i(7). Suppose 24 = -q*v + 11*v. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -123 in -4\/3, 4\/5, 0.42, -0.1, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, -3\/2, -1\/5, -6.1, -2.\nAnswer: -6.1, -2, -3\/2, -1\/5, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.5 and -1?\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -52 or 3278843?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366549144.1 rounded to the nearest one hundred thousand?\nAnswer: 366500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((-72)\/(-380))*(-190)\/((-110200)\/174).\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 43*q**2 + 91*q - 27. Let i be d(45). What is the greatest common divisor of i and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 1405*n - 1402*n + 25, -31*v - 30 = 5*n - 26*v for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14*m - 20. Give g(-6).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of u**4\/24 - 3*u**2\/2 + 2. Let s(j) be the second derivative of l(j). Let t(q) = q**2. Give s(t(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2 - 2)*(-10*q**2 + 0 + 0)*(14 - 8 + 2).\nAnswer: 80*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -1522655*i. Let h(r) = -3*r**2. What is m(h(f))?\nAnswer: 4567965*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1 - 2 + 19*m**2.\nAnswer: 19*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + ((1 + sqrt(7) - sqrt(7))**2*-1 - (sqrt(7) - (2*sqrt(7)*-6 + sqrt(7)))**2)).\nAnswer: -4040","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/476*(-35)\/20\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -1697618.\nAnswer: -6790472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 51194707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47828529 by -15942843.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 2) + -1 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*g = -8 - 0, 0 = 2*k - 4*g + 4. Let d = k - -2. Suppose 0 = -d*p - 1 + 65. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 5*j**3 + 11*j**2 + 9*j + 14. Let n be z(-6). Let k = n + 528. Is k less than or equal to -194?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.351 and 0.1?\nAnswer: 0.451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 22 = -5*c, 2*c = 2*m - 3*m - 8. What is the closest to -2\/7 in 4\/3, -1, m?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hxorxromoxxmxrxormn. What is prob of sequence rmo?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 u when two letters picked without replacement from uug.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/7*o**3 + 0*o + 0*o**2 + 0 + 3\/7*o**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 72721.85?\nAnswer: -72721.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82443, -165120, -247797, -330474?\n\"Answer: -82677*o + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 15225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 189 + -189.9. Which is the fourth biggest value? (a) 0 (b) w (c) 1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g + 325. Let v(z) = 10*z - 2. Let x be v(1). Suppose -3*l = -x*l + 415. What is the remainder when l is divided by k(33)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 4*w**2 - 4*w**2 + 5*w**3 - 2*w**3 - 2*w**3 + (3 + 3*w - 3)*(3*w**2 - w**2 - w**2).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1479602?\nAnswer: -5\/1479602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14725661 divided by 6\nAnswer: -14725661\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 7210, 7093, 6976, 6859, 6742, 6625?\n\"Answer: -117*t + 7327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2188?\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172, 210, 248?\nAnswer: 286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 q when three letters picked without replacement from {u: 2, n: 4, q: 4, p: 3, j: 3}.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -2 + -5 + -51 + 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + v**2 + 7*v - 9. Let b(n) be the second derivative of -1\/2*n**2 + 0 + 1\/6*n**3 - 2*n. Let q(r) = -24*b(r) + 3*f(r). Find y such that q(y) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3870 - 134 = 286*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j. Calculate the remainder when w(-4) is divided by 3*-14*3\/((-45)\/5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 85 + -84. Are 0.074 and g unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.199 + 89.\nAnswer: 88.801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s**3 + 45*s**2 + 405*s + 270 = 0. What is s?\nAnswer: -3, -3\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 2*l = 3*h - 16, 10 = -5*l. Differentiate 2*x**2 - 6*x**2 + 1 - h*x**3 + 4*x**2 with respect to x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108 + 236. Let w = 180 - g. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 8*m**2 - m + 16. Let v be a(-8). Suppose -v*p = -27*p + 3. Solve h = 5 - p for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in -3, -0.1, -0.5, 1\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -187436.12 to the nearest one hundred.\nAnswer: -187400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(1*(1 + -4)). Let l = 1 + 0. What is the closest to l in m, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 650 + (-48)\/(6 - -6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5058439 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -634, -951, -1270, -1591, -1914?\nAnswer: -2239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619493 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 1227\/643358?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*d - 1157 = -32*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 + 19)\/(-5) - -32 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -5 + 3*(-4 + (-121)\/(-33)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 906*l - 7989. Give i(11).\nAnswer: 1977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 256015681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 79031.83 rounded to the nearest 100?\nAnswer: 79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 y, and 1 s when three letters picked without replacement from yevtqveyvtyyees?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v + 192 = -4*v. Let j = v - 11. What is the closest to -2 in -4, j, -7\/5?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b - 4. Let c be g(-5). Which is greater: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a decade in months?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 267873235 greater than 267873235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 315754 is divided by 16600?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20.097? (a) -0.7 (b) 0.09 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 122 = -4*z, -17*z + 40*z = 3*i + 25*z - 72 for i.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -35 + (-5 - (-11 + -4 + (-12 - -29)))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6261162 is divided by 95?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -29*u - 1072. Let z be x(-79). Calculate the greatest common divisor of z and 1802.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -45064, 1\/5, -4, -0.5, -4\/7 in ascending order.\nAnswer: -45064, -4, -4\/7, -0.5, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**2\/2 - 4*k - 6. Determine r(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84 + (-133 - -50) - (-1 - -18) - -48.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -86, -254, -526, -908, -1406, -2026, -2774?\n\"Answer: -x**3 - 46*x**2 - 23*x - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, 3\/2, 9, -0.66, 0.4, 2\/13, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/2)*(w\/(w*w\/w**1*w))\/w)**14 assuming w is positive.\nAnswer: w**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 54.77 and -30.\nAnswer: -1643.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35390, 141521, 318406, 566045, 884438, 1273585, 1733486?\n\"Answer: 35377*x**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-130))\/((-12)\/10)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, d: 2}. What is prob of picking 2 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 - 1)*(u - u - 2*u) - 3*u + 3*u - 2*u.\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1883\/8 - 235. Which is the second biggest value? (a) -4 (b) -2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -5, -1412467, -2 in increasing order.\nAnswer: -1412467, -5, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**3\/3 + 5*k**2 - 124*k - 2. Give t(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 15650?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 378 and 5544.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -10*x + 80. Determine t(37).\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425\/3 - -4735\/33. What is the common denominator of (-1)\/(-4)*840\/9 and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105153055 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: Let z(g) = -g**3 + 1. Let b(u) be the second derivative of -11*u**5\/20 + 3*u**2 + 20*u + 3. Give -b(v) + 4*z(v).\nAnswer: 7*v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 - -0.32. Let i be 1\/5*(-5)\/2. Let u = -0.2 - -0.5. Sort u, i, z in descending order.\nAnswer: z, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 18352 from 0.59.\nAnswer: -18351.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l - 3*l**2 - 10 + 2*l**2 + 126 - 14 to t*l**2 + r + c*l and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 5. Let r = -102 + 175. Let o = -68 + r. Suppose 17 = -5*d + 3*c, 0 = o*d - 6*c + 2*c + 16. Give i(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 3*o - 6. Let z be a(-5). What is the derivative of 33*q**2 - 56*q**2 + 25*q**2 - 132 - 15*q**z wrt q?\nAnswer: -60*q**3 + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 92, 125, 158, 191, 224?\nAnswer: 257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 2*y + 2. Let q(r) = -r**2 - 12 + 10 - 2*r - 6*r. Suppose -t + 5*h - 2*h = 14, 0 = -2*h + 4. Let i be q(t). Give k(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30958 - 30955. Let r = -0.1 + 0. Let p = r + 0.3. Which is bigger: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -11 - (-2 + -1 + 3). Suppose -r + 29 + 40 = 0. Let q = v + r. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(243) + -2*sqrt(243))*5 + sqrt(243).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/181362 and 73\/3507?\nAnswer: 1269534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*l - 3*l**4 - 14*l + 4*l**2 + 4*l + 4*l**4 to the form o + m*l**2 + f*l + n*l**4 + j*l**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 + 30. Let f = 2213.9 + -2214. What is the nearest to o in 5, 0, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, a: 3, k: 1, y: 5, r: 5}. Give prob of sequence ayke.\nAnswer: 1\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dwdwmdwtdtt. What is prob of sequence wm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -0.631 (c) 3 (d) -3\/5 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/40 + (-50)\/125.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -12 + 1\/3*i**3 + 7\/2*i**2 - 2*i. Calculate l(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-76))\/((1*3)\/(530\/212)*-5).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2327556 and -52\/5.\nAnswer: 11637780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 678 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 55 - 290*u - 6*u**2 - 288*u + 0*u**2 + 562*u. Let w be o(-5). Solve w = 7*t + 33 - 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 85 (b) 7 (c) -4\/3 (d) 3\/13 (e) -1 (f) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3603 + 10?\nAnswer: -3573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1510982 divided by -8734.\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 221*n + 13953. Calculate u(-56).\nAnswer: 1577","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17348?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -505\/6, -3, 49 in increasing order.\nAnswer: -505\/6, -3, 3, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (166\/8 + -2)\/(6\/16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**2 - 9*c + 52. Let a be p(8). Is (320\/(-96))\/((-2)\/a) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 3642037 less than 3642034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of 13*l**8\/168 - 7*l**5\/30 + 22*l**2. Find the third derivative of d(o) wrt o.\nAnswer: 1560*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 22.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b**(-8)*b))\/b)\/(b*b**(-6)))\/(((b\/(b*((b*(b\/((b*b\/(b\/b**7*b))\/b)*b)\/b)\/b)\/b*b))\/b)\/(b\/(b\/(b\/(b*b**7))))))**27 assuming b is positive.\nAnswer: b**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 873 and 194.\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3928415 and 2460.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 132.77 + -194.77. What is the nearest to 2\/7 in 8\/3, -4, z?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2*c**2 + c)*(-510 + 510 + 163*c**2).\nAnswer: 326*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/49 < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/21 + -9 + (-115)\/15.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054 less than 390.06?\nAnswer: 390.0546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -96 - -87. Let c be (-6)\/4 - n\/6. Let b be 1 - -26 - c\/1. Round b to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315 divided by -863?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.062, -5, -4256 in increasing order.\nAnswer: -4256, -5, -0.062","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (34 - (1 - 0))*1. Let r be 6\/(-33) + 6\/t. Let a = 2 - r. Solve -2*x = -6*x - f - 19, -a*x = 4*f + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 360\/105*3\/(-12)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17*30\/((-3570)\/(-7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -263*n - 9191. Calculate g(-35).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10146104 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 36\/24*-14 - 38.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0093312769 to 5 dps.\nAnswer: -0.00933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 9*w - 2*t = -40, -5*w - 4*t = 76. Which is the second biggest value? (a) -2\/13 (b) w (c) 1\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**2 + 5. Suppose -9*f + 11*f = -m + 10, 0 = -f. Let l(v) = -m*v**2 + 4*v**2 - 3*v**2 + 0*v**2 + 7. Determine -7*b(t) + 5*l(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfbfbb. Give prob of sequence ffb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/11)\/(11*(-5)\/(-55))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Let x be -3*2*(-5)\/10. Let a be (-38)\/(-2) - (0 + -1). Solve -y*w = x*w + a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - z + 180. Let r be (-9)\/(4\/z*3). Let o be (27\/(-2))\/(3\/(-6)). Calculate the highest common divisor of o and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1911*t - 952 = 1855*t for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*(-10)\/(-24))\/(1\/9). Let c(g) = 8*g - 64. Is 7 a factor of c(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2 - 10*y + 9. Let a be w(5). Let z = a - -244. Factor 0 + 2\/9*u**z - 4\/9*u - 2\/9*u**2.\nAnswer: 2*u*(u - 2)*(u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooj when three letters picked without replacement from rjojrrror?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 347*v**2*z**2 - v**2*z - 5*v*z**2 + 237233*z**2 wrt v.\nAnswer: 694*v*z**2 - 2*v*z - 5*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 122 = 902. What is the common denominator of 3150\/(-8560) + (-4)\/x*-2 and -27\/7?\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3609296295?\nAnswer: 3, 5, 11, 73, 27241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9750 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 3*d + 5. What is c(8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 565137143.\nAnswer: 4297, 131519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3 - 5*u + 16*u - 3*u - 13*u. Calculate b(-5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84899 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**4 - 2*a**4 + 6*a**4 + (1 + 1 - 3)*(3*a - 3*a - a**4) + a**4 - 2 + 2 + 2*a**4 + 0*a**4 - a**4 as s*a + y*a**2 + i*a**3 + q*a**4 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-2)*7)\/((675\/(-600))\/9)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005828094366 rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 - -32. Suppose 19 + 161 = p*d. Let r = -7 + d. What are the prime factors of r?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 11:08 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.84 times 37\nAnswer: -68.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 231, 997, 2269, 4041, 6307, 9061, 12297, 16009?\n\"Answer: -n**3 + 259*n**2 - 4*n - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7240478 to the power of 1\/2, to the nearest integer?\nAnswer: 2691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 - -9a?\nAnswer: a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-939)\/9)\/(-1) - (-3)\/(-9). Let i = -43 + s. List the prime factors of i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 + 10?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14819539 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(176) + 1)**2 + -3 - (-1*(sqrt(176) + sqrt(176)*2))**2) + 3 + 4 + (-2*(1*sqrt(176) + -2 + 3))**2.\nAnswer: -695 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/10052 and 43\/14644.\nAnswer: 5257196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqql when four letters picked without replacement from waaaaaaayayaqqla?\nAnswer: 1\/21840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10316?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 90541 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -211, -235, -263, -295, -331, -371?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z. Let v be y(-3). Let h = -82 + 86. Solve -7*q - h = -v*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 417*d - 402*d + 165 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -359 + 620. Suppose 0 = 5*f - o + 171. Does 2 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 317239478 to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1429000 rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from {p: 7, m: 1, w: 1}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 68156244697 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 280, 279, 286, 307, 348, 415, 514, 651?\n\"Answer: c**3 - 2*c**2 - 2*c + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-545130)\/(-72684))\/((-70)\/(-24))\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30, -71, -102, -117, -110, -75?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -27 - 38 - (-1 - -8).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33047, -65987, -98749, -131243, -163379?\nAnswer: -195067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14432 is divided by 380.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568 is divided by 1434.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2\/7 (b) 7 (c) -1265 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/32 and -1\/28?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 - -33. Does o = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 50, 3, -3, 5, -2\/15, 2?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**3 - 13*p**2 + 28*p + 65. What is j(-8)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19430905 divided by -13.\nAnswer: 1494685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1765152 and 3856.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -1. Let l = 81011\/12 + -6755. Let s = l + 17\/6. What is the second biggest value in v, 0, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 672*n**2 + 3525*n**2 - 358*n**2 as x*n + v + i*n**2 and give i.\nAnswer: 3839","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 540798171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0*(6\/18)\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 432 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 4653.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -6*x - 51. Let y(z) = -6*z - 49. Let q(f) = 6*b(f) - 7*y(f). Calculate the smallest common multiple of 5 and q(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 253 + -135. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 15 = 0, a + 5*f = 6*f + 709. What is the hundreds digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 39553 and 39553 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 63*r + 706. What is k(-11)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-216)\/(-20)*(-93)\/((-1953)\/(-70))?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23788 and 1995?\nAnswer: 2497740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 8*m**2 + 7*m + 3. Let f be s(7). Find the third derivative of -f*p**6 + 4*p**2 + 41*p**4 - 3*p**6 - 41*p**4 wrt p.\nAnswer: -720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*x = 13079 - 881. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 66*z**3 + 27*z**4 + 44\/3*z + 157\/3*z**2 + 4\/3.\nAnswer: (z + 1)**2*(9*z + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.810366487 + 0.410367997. Let v = -1.2 + -4.2. Let w = v - o. Round w to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1069 - -1073)*(3\/56)\/(-3)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 + 148*n**2 + 1624*n + 1472.\nAnswer: -4*(n - 46)*(n + 1)*(n + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 37. Let j = 10 + n. Solve -3*b + 7 = -j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973674 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1222102 (base 9) to base 3\nAnswer: -1020202010002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + (-5*(sqrt(68) + 1) - sqrt(68)) + sqrt(68))**2 + ((sqrt(85)*1)\/sqrt(5) - (1 + sqrt(425))**2).\nAnswer: 71*sqrt(17) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 1 + 4*k**2 - 3*k**2 + 2 + 236*k**3. Let q = -10 + 17. Let l be h(q). What is l rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 461688.8 centuries to millennia.\nAnswer: 46168.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 0)*(0 + 0 + 5*m).\nAnswer: -15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 h when three letters picked without replacement from {v: 1, x: 1, h: 2, l: 3, t: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**4 + 25*v**3 + 105*v**2 + 115*v + 40.\nAnswer: -5*(v - 8)*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -104\/3 - 1168\/9*h + 8\/9*h**4 + 118\/3*h**2 + 46\/3*h**3 = 0. What is h?\nAnswer: -13, -6, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 3*v - 49. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -3*n**2 - 399*n - 786 = 0?\nAnswer: -131, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 2) + 5 + 123 - 4. Let y = 47 - 23. Calculate the greatest common factor of s and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k*l**2 + 11*k*l - 164*k + l wrt l.\nAnswer: 8*k*l + 11*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -12 - (9 - 90\/5).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1019 = -5*p + 3*x, 2*p + 2*x + 7 = 405. Let a = -138 + p. Let v = a - 44. Is 2 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -428 - 1252 = -4*l - 4*z, -3*l - 4*z + 1264 = 0. Calculate the highest common factor of l and 9776.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a8 - a?\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 - -924 - (2 + 2 + -1) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -17, -40, -69, -104, -145?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3548.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, 12, 43, 74, 105, 136?\n\"Answer: 31*o - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**5\/60 + 3*l**2 + 4*l. Let k(w) be the first derivative of d(w). Let s(y) = -3*y**2. Determine s(k(r)).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 524, 1, 3, 5 in decreasing order.\nAnswer: 524, 5, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*j - 46, 0 = -3*z + 7*z + j + 170. Let q = -17 - z. Suppose q = 5*a - 45. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2045 divided by 1\nAnswer: -2045","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -0.1 (c) 0.4 (d) -105 (e) -5 (f) 22\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*s**2 + 13*s**2 - 8*s + 20*s - 3*s**2 - 5*s**2.\nAnswer: -2*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2593*v + 162545 = 69*v + 66713 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/13 + 1606*o**3\/13 - 387922*o**2\/13 + 25402586*o\/13 - 216819660\/13 = 0.\nAnswer: 10, 87, 353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 32446?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 + 67*i + 27. What is a(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from wwwbbbwwbwbb?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 83*a**6\/30 + a**5\/20 + 409*a**2\/2 - 551*a. Differentiate z(x) wrt x.\nAnswer: 332*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5a2 - 14?\nAnswer: 58b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 10 - 1 - 268*b + 30 to the form j*b + o and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 2*g + 4. Suppose 0*z + 3*z - 6 = u, 3*z + 2*u - 15 = 0. Let m = z + 1. What is the remainder when c(3) is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/200 and -59\/463775?\nAnswer: 3710200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 471589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - -2.3. Let a = 2.28 - o. Round a to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -2*j**2 - 2*j**2 - 2*j**2 + 0*j**2. Let f(r) be the first derivative of 0*r**2 + 0*r - 69 - 2\/3*r**3. Give h(f(o)).\nAnswer: -24*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (sqrt(77)*-3 + sqrt(77)))\/sqrt(7) - (sqrt(11) - (sqrt(66)\/sqrt(6)*4)**2).\nAnswer: 2*sqrt(11) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express l**3 + l - 8*l**2 + 2*l**2 + 3*l**4 + 6*l**2 + 1 as c*l**2 + s*l**3 + k*l + w + m*l**4 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 11*a - 27. Calculate k(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(891) - 2*sqrt(891)) + -1*(sqrt(11) + (sqrt(66)\/sqrt(6) - sqrt(11)))*-2)**2 + 2.\nAnswer: -42*sqrt(11) + 550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v - 1. Let y(u) = -18*u + 4. Let s(m) = -6*k(m) - y(m). Let b be s(-5). Let r = -41 - b. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 10 = 6*s. Let v(f) = 0*f**2 + f**s - 3 - f + 1. Let h be v(2). Solve 0 = n - h*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -0.2 (c) -3\/8 (d) -8 (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - 7)*(0 + 1). Solve -2*a - 10 = -0*j - 2*j, 0 = z*a - j + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1230859.\nAnswer: 7, 175837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqybfnny. What is prob of picking 2 q?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 (base 9) in base 13?\nAnswer: -125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -2*a**6\/15 - a**3\/3 - 47*a**2\/2 + 28*a. Find the first derivative of c(w) wrt w.\nAnswer: -16*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 355431484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -d + 4*k + 21, 2*d - 13 = 5*k. Solve b + d*b = -3*h + 9, -17 = -5*b + h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 131516 and 1876.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 + 34*q**2 - 16*q - 387. What is b(-34)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*i**4 - 5*i**3 + 4*i**2 + 42 wrt i?\nAnswer: 504*i - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -22 in 1\/2, 1\/5, 1\/4, 3\/4, -9, -0.74?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.242 + -2.242. Which is the closest to w? (a) 1 (b) 0.4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**2 + 10*n**2 + 0*n**3 - 5 - 7*n + n**3. What is the remainder when 44 is divided by k(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -287 + 286.9. Which is the second smallest value? (a) r (b) 3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*((-49)\/7)\/(-42)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -25, -33, -41, -49?\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 5*q - 1. What is z(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966075 is divided by 132.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1124 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jppvvvvpvvvlpp. What is prob of picking 1 j, 2 v, and 1 p?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5*v = -4*q - 2, 0 = q + 4*v + 1. Let c be 2\/((-6 + q)*-2). Let f = -628 + 633. Sort c, 3, f.\nAnswer: c, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18871997*g**4 - 478*g**2 + 32285*g + 4.\nAnswer: 452927928*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 - -64. Suppose 9 + w = 3*j. Calculate the remainder when 27 is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2551 + 9526 = m. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171957 divided by 37.\nAnswer: 171957\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4456 + 4455.99998161. What is c rounded to 6 dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1407700, 18, -2.\nAnswer: -2, 18, 1407700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 10 + 6*u**2 - 19*u - 30. Let h(x) = 4*x**2 - 18*x - 21. Let m(s) = -4*h(s) + 3*q(s). List the prime factors of m(15).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62216336 divided by -104\nAnswer: 598234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**2 - 8. Let z(i) = 6*i**2. Give u(z(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, j: 1, d: 1, t: 1, q: 1, c: 4}. What is prob of sequence tjq?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/57772048 and -48\/473.\nAnswer: 635492528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/20 + (-1090)\/(-25) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -46\/13963 or -2?\nAnswer: -46\/13963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -w**5\/20 + w**4\/3 + w**3\/2 + w**2 + w. Suppose -2*c - 3 = -c, 0 = 4*o + 2*c - 102. Let q = o + -22. Give y(q).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1717*q = 9538*q - 461439 for q.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -24) + 14 + -14 - 34.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -d + 5. Let n be 5\/d - 4*1. Let z(w) = -20*w. Is 15 a factor of z(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6424659 divided by -2829\nAnswer: 2271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2901764?\nAnswer: 2, 17, 139, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(108) - ((sqrt(108) - (-3*sqrt(108) - sqrt(108))) + sqrt(108)))\/sqrt(9))\/(sqrt(42)\/(-3*sqrt(7))))**2 + -4.\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 28*x**2 - 29322*x + 58648. Give n(2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28841917387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/210)\/(14\/140).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 8*y**2 + 3*y - 6. Give n(-5).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 + 2*k. Let d = -30 + 28. Let j be p(d). Suppose 3*t + 9 = -j*t. Is -3 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 u when two letters picked without replacement from {u: 8, t: 1, x: 1, f: 1, w: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 0 - 1\/6*u**4 + 0*u**3 - 3*u**2 + 0*u. Let j be -2 - (0 - 0) - (-2 - -1). Determine a(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3023 = -13*r - 215. What is r rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**4 - 5*v**4 + 4*v**4)*(-1 - 1 - 4)*(-8 - 1 - 1)*(5 - 7 + 0)*(1 + 4 - 3).\nAnswer: 1680*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*y - 42. What is the greatest common factor of 182 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 79 (b) 0.1 (c) 0.04 (d) -0.2 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 16 - 25 - 10*z - z.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 1\/6*s**4 + 7*s + 0 - 10\/3*s**3 + 25*s**2. Determine n, given that z(n) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 7 - 4 + 6 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7471\/101 or -74?\nAnswer: -74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2265 - -2264.98. Let h be (-9)\/12*-4 + -1. What is the second biggest value in b, -0.5, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((5\/(-2))\/(575\/(-230)))*(-90)\/(-2)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807*g = 812*g + 4*u - 40, -5*u = -2*u - 30 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + -5 + (-2)\/2. Let c be (-10)\/9 - (-2)\/n. Let s = 2.9811 + 0.0189. Are s and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(171)*5 - 3*(sqrt(19)*-1 + 1))**2.\nAnswer: -108*sqrt(19) + 6165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.09 + -180679331.\nAnswer: -180679331.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 6*s - 6. Let r = 4 - 9. Let y(t) = 8*t - 8. Let b(q) = -q + 1. Let h(k) = -b(k) - y(k). Calculate r*h(c) - 6*z(c).\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, y: 1, q: 1, w: 1, e: 1}. Give prob of sequence yzew.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2 = 2*o, 0*j + j = 3*o - 1. Let b = 31\/87 - 2\/87. Find v such that -b*v + 0 + 1\/3*v**j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 366022.\nAnswer: 2, 23, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 11:33 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5781617*w**2 - 2*w + 77561710 wrt w.\nAnswer: -11563234*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 + 31. Let a(h) = -h**3 + 13*h**2 - 10*h - 16. What are the prime factors of a(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 5*r + 29, r - 3*r + 61 = 5*i. What is the remainder when 49 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (0 - -4) - -54\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 - 19 = 0. Sort z, 4, 2 in descending order.\nAnswer: 4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.1 + -1.8. Which is the smallest value? (a) 5 (b) o (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnlnlllllnl. What is prob of sequence nlnn?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -7061?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -95.9318524 to the nearest integer.\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1667517976?\nAnswer: 2, 19, 67, 73, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 909222 is divided by 60563?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(135)\/(sqrt(6)\/sqrt(2)) - sqrt(45) - (sqrt(720) + -4)) + -4)**2 - ((1*sqrt(80)*-5)\/sqrt(4) + -4).\nAnswer: 10*sqrt(5) + 724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 25 + (-39 - -54 - 68)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 439*p**2 - 102*p**2 + 0*p - p - 15*p**2 - 118*p**2 as t*p**2 + h + a*p and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1.726, 5, 0.06?\nAnswer: -1.726","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -1313*d**3\/3 - 3845*d**2\/2 + 363*d - 3. What is the first derivative of w(c) wrt c?\nAnswer: -2626","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -529 + 530. Let f be (2 - 3) + 6 + 0. Solve -o = -f + u for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1820 by -455.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/16 + -1)*-4. Let g be 4552\/20 - (-2)\/b. Suppose g = -2*w + 8*w. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -5*r - 1689 + r**2 + 3381 - 1690. Determine k(10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -3*q - 1 + 5, 2*q - 5*t + 20 = 0. Suppose 3 = j - q*j. Suppose -4*g - 15 = -5*d + 13, -j*g = -2*d + 7. What is the least common multiple of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q*q\/q**(-1\/5)))\/q*q\/(q*q\/(q*(q\/(q**7\/q))\/q))*q)\/(q**(1\/3)\/(q*q**(2\/15)*q)))**(-23\/4) assuming q is positive.\nAnswer: q**(621\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 56072 divided by 14018?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(4) - sqrt(20)\/sqrt(80))\/(sqrt(6)\/(sqrt(12) - sqrt(3)) + sqrt(2)) + 3 + sqrt(100)\/sqrt(2) + -5))**2.\nAnswer: -43*sqrt(2)\/2 + 1977\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5417280 = d, -11*z + 5*d = -9*z + 2708640. Let q = -908320 - z. Round q to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**3 - 185*p + 3545 - 8*p**3 - 3547 to v*p**3 + l*p**2 + x + d*p and give d.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1065?\nAnswer: 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7920*y + 168930 - 7311 = -11089*y for y.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*k - 68*k - 33 = 5*h, 2*k + 6 = 4*h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, n: 3, f: 3}. Give prob of sequence cc.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.55 + -4. Let o = x - -0.53. Let k = 0.38 - o. Which is the nearest to 0? (a) 4 (b) -0.4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 12. Let r = 0 + 2. Let d = -0.08 - -1.08. Which is the closest to d? (a) 0.1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xsxqxqstsxqxxss. Give prob of sequence qtsx.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/7)*k\/(((k\/(k\/(k*k**7)))\/k*k*k*k)\/k))\/(k*k**(-1\/4))**(3\/17) assuming k is positive.\nAnswer: k**(-3735\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 4:59 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 1076 = -i, 2*i - 17 - 372 = -5*r. What is the remainder when 805 is divided by r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -4 + u + 1\/2*u**2. Determine b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 633bb5 (base 12) to base 3.\nAnswer: 2221100210202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 31, 27, 31, 49, 87, 151, 247?\nAnswer: 381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5208, -10407, -15592, -20757, -25896, -31003, -36072?\n\"Answer: j**3 + j**2 - 5209*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -3521410?\nAnswer: -3521422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 115458, 461905, 1039314, 1847685, 2887018, 4157313, 5658570?\n\"Answer: 115481*x**2 + 4*x - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 21*l = -4. Suppose -b + 918 = l*b. What are the prime factors of b?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1215 - 402 = 278*j - 227 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0014354 rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -154 - -148. Let v(r) = -r**3 - 7*r**2 - 8*r + 6. Calculate v(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + 4*b + 18. Let d be -12*6\/b*2. What is the common denominator of -15\/2 and (-178)\/(-40)*(18 + d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603940 is divided by 779.\nAnswer: 758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a gram in milligrams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16919 plus -3?\nAnswer: -16922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12390 + 35300 = 29*s. Suppose -s - 1465 = -3*c - 4*l, 0 = -3*c - 3*l + 2259. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(1932\/(-40)) + (-5000)\/(-3600) + (-14)\/9.\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.159169 and -455574?\nAnswer: 455573.840831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m**2 - 1. Determine p(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 - -9. Suppose f + c*f = 9. Let d(k) = -k + 1 + f - 2. Determine d(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 574 a factor of 425908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22757 - 22044. Calculate the greatest common factor of 1457 and h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2*x - 1. Let v be p(2). Let i(g) = -2*g - 35. Let a be i(-15). Let w = v - a. Let n(o) = -o**2 - 3. Determine n(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011000 - 1100101000101110?\nAnswer: -1100110010000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*h + 366 = -335 - 223 for h.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 760429337 to the power of 1\/3, to the nearest integer?\nAnswer: 913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (443*k - 896*k + 455*k + 222*k**3)*((-2 + 2*k + 2)*(-k - 2 + 2) + 6 - 6 - 3*k**2).\nAnswer: -1110*k**5 - 10*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*q - 110*q**2 + 18*q**2 + 32*q**2 + 31*q**2 - 35*q + 30*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -403 (b) -1\/5 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 3934?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.4 (c) 13\/5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -3)*2\/5. Let r be 3 + q\/(-2) + -2. What are the prime factors of 21 - (-1 + 1 - r)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198 and 8835904.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-15) + 4\/6. Let w = l + 0. Suppose -6*j - 244 = -3*h - 2*j, 5*h + 4*j - 396 = w. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 27. Determine l(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19960098 to the nearest integer?\nAnswer: 4468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21925850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 838349952 divided by 72172.\nAnswer: 11616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205428 is divided by 14668?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1070042.4 nanoseconds?\nAnswer: 0.00000000176925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.33700041 + 0.337. Round x to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (0 - 1))\/(-2). What is the units digit of (o\/(-1))\/(-1) + 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 + 21 = -5*u. Find the common denominator of 2\/u*39\/5 and 38\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -7*z - 112. Let q be m(-15). Let p be (-12)\/(-8)*q\/((-105)\/40). Which is smaller: -8 or p?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*r**2 + 2*r**2 + 15*r**2 + (2 - 2 + 2*r)*(3*r - 2*r - 3*r) - 3*r**2 + 707 - 707 as g*r + f + i*r**2 and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1080?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -56697 divided by 18899\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9) - (-44128)\/3546.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 8) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 26*f - 340 = 0. Let w(a) = a**3 + 19*a**2 - 21*a + 13. Let d be w(f). Calculate the greatest common divisor of d and 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.5, 2\/13, -2, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 3*l**2 + l**2)*(0*l - 2*l - 7 + 19).\nAnswer: -6*l**3 + 36*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 - 0.2. Let c = -1 + 0.2. Let n = -1 - c. Sort n, r, -1 in decreasing order.\nAnswer: r, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7866 and 759.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 711027311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2116730 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 11*v**3 - v + 2. Let q be f(1). Suppose 8*c - 26 = 62. Is q at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 14. Suppose 3*d + 0*d - 2975 = -4*w, k*d - 3718 = -5*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = n + 3*g - 12, 3*g = 5*n - 33. Suppose 1 = y + n. Let x = -12 - y. Which is the second biggest value? (a) 0.1 (b) x (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35 and 56385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1406 + 2?\nAnswer: 1408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0183533 to 3 decimal places.\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (3 + 264\/11)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-3 - 0) + 0 + 7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2668*k**3 - 2891*k**3 + 6135*k**3 + (-2*k + k + 0*k)*(2*k**2 - 2*k**2 + k**2).\nAnswer: 575*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (765 + 6)\/(6\/(-8)). Let n = 1788 + r. Round n to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3\/7664 + -2871\/7664. What is the common denominator of o and 41\/8110?\nAnswer: 32440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.115 and 4348.\nAnswer: 500.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-31 - -45 - 26) + -3 + 72.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14349955 to the nearest integer?\nAnswer: 3788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -577942560 divided by -32107920.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/77)*t\/t**(1\/6))\/(t*t**(-8))**(5\/7))**(-24) assuming t is positive.\nAnswer: t**(-10732\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1526 is divided by 39.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86064 and 7548204?\nAnswer: 1956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 + 38 + 12 - 20863*c**2.\nAnswer: -20863*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1756 - -1755.99067. What is g rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 38.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -19*n**5\/15 - 25*n**2\/2 + 2*n - 34. Let k(y) be the second derivative of h(y). Let s(d) = d**2. Calculate k(s(t)).\nAnswer: -76*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 47*p**2 + 416*p wrt p?\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25*1440\/(-32000)*32\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-316)\/5*3*(-20)\/(-6). Let h = 905 + c. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(-1)*114\/(-19)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 191*r**2 - 623*r**2 + 277*r**2)*(4 - 4 - r).\nAnswer: 155*r**3 + 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2918 = 22*t + 1895 + 1419 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 3, 0, -1\/31, 1, -854 in descending order.\nAnswer: 3, 1, 0.4, 0, -1\/31, -854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4590\/(-28917))\/(1\/7).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 8 = -4*v. Let g = 3 - 4. Let d = -0.5 - -2.5. Which is the closest to g? (a) -2\/5 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 44 - 37 - 56 - 35 - 81.\nAnswer: 3*o - 165","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1737219267?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 998315183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -38 divided by -880?\nAnswer: 19\/440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 594*m**3 - 289*m**3 - 304*m**3 + 2*m - 1. Give u(-3).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yh when two letters picked without replacement from yyyqyycqqyqqhqyqyyy.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 463813*a**2 + 230936?\nAnswer: 927626*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 748417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -56691424 divided by 32?\nAnswer: -1771607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 233 + -236. Which is the smallest value? (a) -6 (b) f (c) -11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - r + 7. Let s be g(-3). Let z(c) = c**3 + 0 + 1 + 0*c**3. Let l be z(-1). Are s and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 41 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 259*m + 1718 = 1026 - 6819 for m.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/((21\/4)\/(-3)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 405 and 2511?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -584*n**3 + 4*n**2 + 3*n + 1. Let v be z(-2). Let w = v + -22992\/5. Let j = w - 84. Put 0.2, 0, j in increasing order.\nAnswer: 0, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130469 is divided by 5213.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20181 (base 9) to base 13.\nAnswer: 6073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 40 = -h, -18 = -s - 5*h + 6. What is the second derivative of 31*a + 3*a**3 + 12*a**3 - s*a**3 wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27309, 1, 48 in decreasing order.\nAnswer: 48, 1, -2\/27309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 297896397 to the power of 1\/3, to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3302 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 + 1 = 0. Suppose -b = 5*h - 5*b - 10, -5*h = o*b - 10. What is the smallest common multiple of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1758 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-36 + -1 + -1 + 3 + 6)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 2)*(-5 + 6 + 29 - b) to the form i*b + m and give m.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j, 3*i - 5*i + 28 = -j. Let w(r) = r**2 - 12*r + 7. What is the smallest common multiple of i and w(13)?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2387426?\nAnswer: 2, 19, 62827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -11*s**3 - 70*s**2 - s - 10. Let p(c) = 9*c**3 + 61*c**2 + c + 8. Let r(f) = 6*p(f) + 5*q(f). Determine r(16).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14622 = -38*q - 14432. Solve 0 = r - 2*r + a + 4, 0 = 5*a + q for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37666?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 16, u: 2}. Give prob of sequence uu.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + 0.3. Let p = -0.7 + w. Sort -0.3, -2\/9, p in descending order.\nAnswer: p, -2\/9, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kuukujakapuauk. What is prob of picking 1 p, 1 a, and 1 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmqq when four letters picked without replacement from ttbtqbtbtmtqqt?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1514 - 1513. Put 4, -30, -2\/13, m in increasing order.\nAnswer: -30, -2\/13, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2223*y + 511. What are the prime factors of k(3)?\nAnswer: 2, 5, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9446 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 877 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14450 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 12:05 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011111001110000 - -100110?\nAnswer: -100011111001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -100?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z + 12033 - z**2 - 12033.\nAnswer: -z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -40 + 2456*m + 2460*m - 4919*m - 6*m**2 in the form w + j*m**2 + r*m and give w.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-16\/7))**(1\/6)\/(k**(-39)\/(k**(-5)\/(k*k**2\/k))) assuming k is positive.\nAnswer: k**(664\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Is 747 less than or equal to 748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from {n: 1, h: 3, u: 1, y: 5}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -244209 by 3.\nAnswer: -81403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -530*r - 3183. Let x be k(-6). Suppose -29 - 14 = g. Put 1, g, x in descending order.\nAnswer: 1, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -239*h + 483*h - 234*h - 840. What is the remainder when 2685 is divided by h?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13967 + -2.\nAnswer: 13965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*n**3 - 23*n**5 - 466*n**2 - 7*n**3 - 1164 + 1164 + 7*n**3 wrt n?\nAnswer: -1380*n**2 - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 279 divide 14196601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (25 + -1)*(-6)\/((-84)\/91)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**4 + 14596*c**3\/5 - 180312*c**2\/5 + 545456*c\/5 - 486752\/5 = 0. Calculate c.\nAnswer: -742, 2, 41\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -67*l + 7. Determine m(1).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 20346576?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-5))\/(1\/(-5)). Let h(p) = p + 2. Let x(a) be the second derivative of 2*a**3\/3 + 5*a**2 - 406*a. Calculate s*x(v) + 11*h(v).\nAnswer: 3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x + 0*x + 2508 = 97*x for x.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -58*q + 127. Let h(o) = -173*o + 382. Let k(y) = -3*h(y) + 8*r(y). Find the first derivative of k(u) wrt u.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36.6 + -0.4. Let i = -86 - -54. Let j = i - k. What is the nearest to 0.3 in j, 2\/3, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 510315 = 2*v - v. Let i = -1160315 + v. Round i to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -882, -1752, -2624, -3498?\nAnswer: -4374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -10*h**2 + 1281*h - 91. Determine a(128).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**5\/15 + 3*m**4 + 112*m**3\/3 - 392*m**2\/3 - 8*m. Suppose w(u) = 0. Calculate u.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79076282?\nAnswer: 2, 17, 2325773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 2)*(9 - 6). Let z be (-3)\/m + 199*1. Let d(h) = 2*h**2 + 4*h - 23. Let v be d(-6). What is the greatest common factor of z and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4353, -5 in descending order.\nAnswer: 4353, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/(-28)*(-216)\/(-60)*-2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -30*h - 108. Let f be m(-10). What is the greatest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, w: 2, x: 4}. Give prob of picking 4 x.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16767 by 69.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4 + (3 - 4 + 3)*(1 + 1 - 4) + 0 - 4 + 3)*(-3*x + 2*x**2 + 3*x) - 2*x**2 + 3*x**2 - 6*x**2.\nAnswer: -11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1))**(-22)*s**(-3)*s**3*s*s*s assuming s is positive.\nAnswer: s**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465 is divided by 68.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84146 is divided by 99?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2247, 5520, 8793?\nAnswer: 12066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2)*((-126)\/(-24))\/(-21)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103 (base 4) to base 5.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1007677 + 1007676.93299868. Let t = -4.7 + 4.633. Let a = p - t. Round a to 7 decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/13 (b) -2\/3 (c) -5 (d) 1\/6 (e) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25178 divided by 44.\nAnswer: -12589\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86576*w**3 - 43509*w**3 - 43060*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-57)\/(-1026) - 2\/36. Solve f*u - 16*u - 32 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 1 + 1)*(313 - 121 - 114)*(-2*c + 3*c + 0*c) + c - 3*c + c + (-2*c + 3*c - 2*c)*(-2 - 1 + 0))*(-5 - 1 + 4) to the form f*c + x and give f.\nAnswer: 464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 363*v**2 + 319*v\/2 - 21.\nAnswer: (11*v + 6)*(66*v - 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -38 + (-158)\/1501*-358\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -282.8 + 0.008?\nAnswer: -282.792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 29270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + y)*(5 - 7 - y + 2*y) - 1597*y + 31*y**2 + 1597*y.\nAnswer: 32*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -76*k**2. Let z(x) = -25*x**2. Let r(b) = -2*a(b) + 7*z(b). Let g(q) = 4*q**2. Calculate r(g(i)).\nAnswer: -368*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9306*a + 9304*a + 22 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - (-27)\/6 - 3\/(-2). Suppose -i + k*i = 4. Solve i*r + 2 - 6 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13089 - -13087. Let g(t) be the first derivative of t**3\/3 - 3. Calculate g(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/3005 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sq when two letters picked without replacement from {s: 8, q: 2, l: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 4*m**2 + m - 3. Let t be w(-3). Suppose 4*q - 5*s + t = 0, -q = -3*q + s - 12. Sort 1\/2, -1, q in descending order.\nAnswer: 1\/2, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 12. Suppose -30*t = -37*t + 56. Determine n(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124742 - 28892 = 1917*x for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 256501 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-22))**(-45) assuming i is positive.\nAnswer: i**990","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + 5*o + 3. Let z be n(-5). Let d = z - 3. Suppose b - 54 - 11 = d. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 12*y + 5. Is 11 a factor of b(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2541404633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1816 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -33 (base 5) to base 9\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243364380 + 121682184 + 5*f + 121682196.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2782*l**2 - 1 + 1 + 652*l**2 in the form z + x*l**2 + r*l and give x.\nAnswer: -2130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**3\/3 - 2*o**2 - 3*o - 7. Let q be z(7). What is the greatest common factor of 198 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62398199 by -8.\nAnswer: 62398199\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 - -39. Calculate the remainder when 54 is divided by p\/(9\/(-2))*4617\/162.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 4*m + 1. Let l be o(1). Suppose 0 = -3*u + 3*t + t + 33, -l*u = 5*t - 20. Suppose u*f = 4*f + 45. Solve -2*p + 5 = f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**4\/13 + 68*c**3\/13 - 56*c**2\/13 - 324*c\/13 - 198\/13 = 0 for c.\nAnswer: -1, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-2)\/(-3) + -170. Let u be h\/(-27) + 4\/(-18). What is the greatest common divisor of 2 and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - t**2 - 4*t. Let g be m(-3). Suppose 0 = -5*v + 993 + g. Round v to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + -672?\nAnswer: -684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x = 232 - 244 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and 191883?\nAnswer: 115129.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 47, -2, -1 in ascending order.\nAnswer: -4, -2, -1, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 27555*l = 27557*l, 4*l = -q - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 15a3930d?\nAnswer: 15a3930a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -86*c**2 + c + 1. Let k be n(-1). Suppose 0*i + 18 = 3*i. Let h be i\/(-42) - k\/112. Do 0 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9d9ac (base 16) to base 9.\nAnswer: 1183465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 PM and 4:42 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 4:08 AM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 222 - 196. Suppose 34 = -x*s - 356. Which is greater: -13 or s?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -132221\/803 or -165?\nAnswer: -132221\/803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8.831787 minutes?\nAnswer: 529907220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 30*o**2 - 3264*o - 221980. Let q(l) = 11*l**2 - 1088*l - 73994. Let y(z) = 5*h(z) - 14*q(z). Suppose y(v) = 0. What is v?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401419 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*u + 4*u. Find the second derivative of u*j + 25*j + 15*j**2 + 3*j - 2*j**2 wrt j.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1377 and 354765690.\nAnswer: 459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 346*v - 10 + 37)*(-v**2 + 3 - 3) in the form g*v + w*v**2 + z*v**3 + c and give z.\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-54))\/((-45)\/(-324))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (5*12\/150)\/(2\/35). Sort 3, j, 4, -10.\nAnswer: -10, 3, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1226674 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5189639 is divided by 66?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9391*q**3 - 2*q**2 - 131*q + 275. Is c(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 95 - 31 = 4*u, 5*u - 5*n - 90 = 0. Calculate the highest common divisor of 126 and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27382 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand q - 2*q - 2*q + (5 + 59 - 17)*(2 - 4*q - 2).\nAnswer: -191*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 19*p + 43. What is w(-12)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 33206, 131466, 294780, 523148, 816570, 1175046, 1598576?\n\"Answer: 32527*z**2 + 679*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 81*a**2 + 1. What are the prime factors of c(2)?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 320.1607t to grams.\nAnswer: 320160700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 482.38 times 3\nAnswer: 1447.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 2 = q. What is the units digit of q + 6 - 7 - (1 + -39)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -4)*2\/(-54). Let n(x) be the second derivative of -r*x**2 - 1\/54*x**4 - x - 2\/27*x**3 + 0. What is a in n(a) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -8842.7\nAnswer: 884.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 54. Let m(t) = -t**3 - 8*t**2 - 16*t - 8. Suppose 2*u = z - 2*z + 4, 4*z + 49 = 5*u. What is the lowest common multiple of q and m(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**4 - 2609*f**3 - 425756*f**2 - 106276*f.\nAnswer: -f*(f + 326)**2*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 16 = 17 - 16 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.345 + -1.707. Let d = -0.052 - x. What is the nearest to -1\/3 in 0.1, 2, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-92)\/138)\/((-39)\/(-9)). Suppose -18 + 21 = s. Which is the smallest value? (a) -0.02 (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -o**4\/4 - 3507*o**3\/2 - 848073*o**2\/4 - 827039*o - 820029 = 0.\nAnswer: -6891, -119, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l + 3 - 3)*(8*l - 1290 + 1290).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 101111?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -23b?\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 6:26 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + b + 4. Let r = -659982 + 659987. Sort b, 15, r.\nAnswer: b, r, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(2*y + 8*y - 3*y)*(13678 - 13678 - 66*y**2).\nAnswer: 1386*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -6*v**2 - 5*v + 2. Determine x(3).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - b - 3. Let r(c) be the second derivative of c**4\/12 - c**2 - c - 67. Calculate -4*i(d) + 6*r(d).\nAnswer: 2*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -47009 plus 0.01?\nAnswer: -47008.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 328938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of i**4\/24 - 64*i**2 + 1. Let q(r) = 33*r + 1. Calculate q(c(p)).\nAnswer: 33*p + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -14\/5 (c) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10\/244037 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.24705 + -0.05295. Which is the fourth biggest value? (a) k (b) -1.1 (c) -5 (d) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -21 - 15. Suppose 4*h + 14 = -p. What is the remainder when 14 is divided by 1\/(-4) - 42\/h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-138)\/(-8))\/(36084\/96224)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3785*c + 155 - 23 = 3851*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 162053 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 8*u**2 + 9*u + 3. Let a be p(9). Suppose a*y = 6 - 0. Solve -y*v + 5 = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*o = 70*o - 2416 - 3859 - 1600 for o.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/(1046\/224890).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**(-3\/17))**(-45)\/(p*p**(-16)*p*p**(2\/33)))**(-35) assuming p is positive.\nAnswer: p**(1337525\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -91\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -686\/15305 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3946 + 10712 = 14*g. Let u = 1562 - g. What are the prime factors of u?\nAnswer: 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 645, 523, 321, 39, -323, -765?\n\"Answer: -40*b**2 - 2*b + 687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -8*m + 68. Suppose m = 2*y - 48. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3*(-35)\/84)\/(2\/(-8)). Suppose 5*h + l*d = 45, -7*h - 24 = -8*h + 4*d. Let z = -13 + 31. What is the highest common divisor of h and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 13*h**7\/105 - 7*h**3\/3 - 3*h**2 + 6. Let r(z) be the second derivative of n(z). Differentiate r(m) with respect to m.\nAnswer: 104*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - -110000101011111?\nAnswer: 110000101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**2\/5 + 8346*a\/5 - 8348\/5 = 0?\nAnswer: -4174, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 403481935 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -1\/2 (b) -0.4 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181514434 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1260391698 - -0.1\nAnswer: 1260391698.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -137*y**8\/56 + y**4\/12 + 197*y**3\/6 - 144*y. Find the third derivative of u(a) wrt a.\nAnswer: -16440*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = 5*p - 5, 0 = -2*r - 10*p + 11*p + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-291)\/5 - 2\/(-10). Let i be x\/(((-6)\/9)\/(-2)). Let o = -109 - i. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**4\/12 - p**3\/6 + 6*p**2. Give q(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-198))\/1*(-15)\/(-200). Let s = 1061\/2640 + n. Factor 0*d - 2\/5 + s*d**2.\nAnswer: 2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdf when three letters picked without replacement from {b: 1, e: 4, t: 1, d: 1, w: 1, f: 8}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j - 23 = 9 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 12102?\nAnswer: 12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/96)\/(1*-3*(-181)\/(-7964))\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -427618 divided by 12577.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2496.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 14. Let j be 3\/6 - l\/8. What is the tens digit of 15 - (j - 0\/3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 + 4*p. Let u be x(3). Let i be ((-2)\/3)\/(10\/u). Is i > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)\/((sqrt(54)*-2)\/sqrt(6) - sqrt(9))*-1 + ((sqrt(77)*2*-3 - sqrt(77)) + sqrt(77) - sqrt(77))\/(sqrt(66)\/sqrt(96)))**2.\nAnswer: 48223\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 22. Let l be 1 + (-2 + 0 - -4). Find the third derivative of 1 + y**s - 3*y**3 + y**l - 1 wrt y.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 257\/88563 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3398405726 and 0.14?\nAnswer: 3398405725.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -4. Let n = -214 + 214.5. Let y = -3 + 4. What is the closest to y in 4, n, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -255\/8 in -31, 7\/3, -1?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6505 is divided by 112.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/m**(10\/7))\/(m*m\/((m**(-29)*m)\/m))*(m*m**50)\/(m\/m**(30\/13)*m) assuming m is positive.\nAnswer: m**(1900\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvcjvcjcjvc. What is prob of sequence cv?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of 13*g**7\/70 - 15*g**3 - 140*g**2. What is the derivative of r(h) wrt h?\nAnswer: 156*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**5 + 106*n**4 + 1270*n**3 - 2866*n**2 + 1488*n = 0.\nAnswer: -31, -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(19\/6)\/n)\/n*n**(-44)\/n assuming n is positive.\nAnswer: n**(-263\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -79871 bigger than 0.0846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260974 is divided by 8630?\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -10, -52, -3 in ascending order.\nAnswer: -52, -10, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -101020201022111 (base 3) to base 13\nAnswer: -1189144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7500 or 142528\/19?\nAnswer: 142528\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 70756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**2 - 59*i - 450 = 0.\nAnswer: -50, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -122. Which is bigger: -182\/15 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*v - 3*p, -p + 7 = v + 2*v. Let f = -6 + 6.6. Let x = f - 0.9. Which is the nearest to v? (a) x (b) -5 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 1:02 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 17*t**3 - 596*t**2 - 101*t + 4635. Give g(35).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10346\/109 or 95?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 283986943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 33034406*v**3 + 18047932?\nAnswer: 99103218*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/6364292 and -4\/11943.\nAnswer: 57278628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k = -26999990. Suppose 54*l = 59*l - 10. Suppose -l*f - 3*n + 4500003 = -f, -5*n = -3*f + k. What is f rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 7*y**2 - 3*y + 3. Suppose -h - 2*h = -6. Let c = 32824 - 32827. Let s(m) = 6*m**2 - 2*m + 2. What is c*s(z) + h*o(z)?\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**3 - 3*v**2 - v + 2. Let j be w(2). Suppose -10*a = -14*a - j. Let u be (a + 4)\/1*-70. Round u to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:32 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**7*c\/c**(2\/9))\/((c\/c**6)\/((c*c*c*c**9)\/c)) assuming c is positive.\nAnswer: c**(214\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in one twentieth of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 51 = -3*y, 3*p - 2*y + 7 = 2*y. Let c = p + 33. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6373, 8066 in descending order.\nAnswer: 8066, 6373, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 9. Suppose -42 = -4*f + s*f. Does 7 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -346948*i**5 + 338500*i**2?\nAnswer: -20816880*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = -0*j + 2*z, -2*z = 3*j - 10. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/21285 and 103\/2970?\nAnswer: 127710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 12 + 5*k + 6 - 9. Let f be y(-7). Let x(i) = -6*i**3 - 3*i**2 - 2. Let h(d) = d**2 + 1. Let g(p) = -3*h(p) - x(p). Give g(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399 = -5*i - 139. Suppose i*t + 191 = 53*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-912)\/28)\/(-4) - (-5)\/(-35). Solve g = 4*j - a*j + 9, 2*j - 3 = g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -1837*u**2. Let o(f) = 37118*f. Calculate o(m(x)).\nAnswer: -68185766*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*s + 75*s - 112*s - 109*s as m + p*s and give p.\nAnswer: -217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 99 - 8e?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 1 = -2*u + a, 3*u - 2*a = 0. Let w(j) = -12*j - j**u + 3*j + 7 - j. Calculate the least common multiple of w(-10) and 16.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18436, -18421, -18388, -18331, -18244, -18121, -17956, -17743?\n\"Answer: p**3 + 3*p**2 - p - 18439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from ttmzm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -1*2 + 465\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 2.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -732958950, -732958951, -732958952, -732958953, -732958954, -732958955?\nAnswer: -732958956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/6 (b) -25 (c) -8 (d) -0.3 (e) 6.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b - 4099?\nAnswer: -407b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b + 117*b**2 - b + 82*b**2 + b.\nAnswer: 199*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*h + 840*h + 167*h + 956*h.\nAnswer: 1442*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 44. Let x(s) = 5*s**2 - 5*s - 7. Calculate the remainder when x(-3) is divided by ((-10)\/a)\/(8\/(-120)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 6*w - 22*w - 174 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*sqrt(204))\/(2*sqrt(147)).\nAnswer: -10*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -3 (b) -1 (c) 0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11 - 3)*(-1 - 1). Let z = -30 - -14. Let d = z - y. Solve -4*u + d*u = 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(19) + -4)*3.\nAnswer: -12*sqrt(19) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 - (0\/8)\/(-5). Put v, -2, 3, 1 in decreasing order.\nAnswer: v, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - 1329?\nAnswer: -1328.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1718, 6810, 15172, 26702, 41298, 58858, 79280, 102462?\n\"Answer: -17*q**3 + 1737*q**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 8:54 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 6*l - 4. Let x = -18 + 25. Let n be g(x). Solve -p = 3*f + 11, n*f + 2*p = -0*p - 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 3\/4 (b) -1 (c) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let s be 3*(-1)\/(15\/40). Let r(t) = 25*t + 5. Let p(f) = -38*f - 8. Let g(d) = s*r(d) - 5*p(d). Calculate g(z(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1326, -3539, -6634, -10611?\nAnswer: -15470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcchsyscccsch. What is prob of sequence cshh?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.53, 7, -30, 1\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 550188 divided by 137547?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -4. Let n(y) = y**2 + c - 2*y**2 + 3 - 7*y. What is n(-5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 2600 - 1291 - 1309 - 2*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 478, -1, -2, 1 in ascending order.\nAnswer: -2, -1, 1, 478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/12 - l. Let p be f(0). Solve -3*c - 23 = -5*g + c, p = c + 2 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 23*u - 18*u. Suppose 5*g - 7 = 3*c, -2*c + 2*g = -u*c + 28. Solve -c + 1 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -17*p + 48*p. Sort -5, p, 14 in descending order.\nAnswer: 14, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 148 + -107449?\nAnswer: -107301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -504*x - 567. What is the hundreds digit of k(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + sqrt(2448) - sqrt(2448))*-4 + 3 + sqrt(2448) + sqrt(2448)*-5*1 + -4)**2 + 2.\nAnswer: 480*sqrt(17) + 39197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11*z + 14. Let b(l) = -7*l - 9. Let p(c) = -8*b(c) - 5*i(c). What is the tens digit of p(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**(-1)*r)\/r*r)\/r)\/r)**2*r**(-9)*r*r*r**0*(r\/(r*r\/r**(2\/7)))**(1\/56)*(r*r**(-7)\/r*r)\/(r**4*r) assuming r is positive.\nAnswer: r**(-7845\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 + s - 1. Let p = 7 + -8. Let y(m) = 4*m**3 + 4*m - 3. What is p*y(r) + 3*c(r)?\nAnswer: -r**3 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -66, -70, -86, -120, -178?\nAnswer: -266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -784 greater than -784?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2021 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-232)\/(-40) + 4\/(-5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -2*r. Let q = 0 + r. Suppose 2*p + 2*p = q. Solve p = -5*s, -2*c + 7*s = 3*s - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssc when three letters picked without replacement from {s: 2, q: 1, c: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -213490, -854110, -1921818, -3416620, -5338522, -7687530?\n\"Answer: -t**3 - 213538*t**2 + t + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/580 and 67\/122?\nAnswer: 35380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.3. Let z = 4.2 - v. Let q(x) = 3*x**2 + 58*x - 37. Let f be q(-20). Put -0.4, z, f in descending order.\nAnswer: z, f, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25 + -273064?\nAnswer: -273111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 10*i**2 - 8 - 362*i - i**2 + 366*i.\nAnswer: -11*i**2 + 4*i - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 875 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*v + 7*v + 167 = 115 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*t = 6*h - 22067, 5*h + 5*t = 36775. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4090819?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20150743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 5\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7009\/5 + 1396. What is the common denominator of (5*(2 + -3))\/(-42) and b?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 0 + (-3 - 5) + 5 + -26\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 34858033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -1\/2 (c) -12\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17284123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -195*o**2 - 5*o - 5. Let c(f) = -97*f**2 - 3*f - 3. Calculate -5*c(a) + 3*k(a).\nAnswer: -100*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1911, 12369, 40749, 96009, 187107, 323001, 512649?\n\"Answer: 1493*l**3 + 3*l**2 - 2*l + 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, -98, 5 in descending order.\nAnswer: 5, 0, -4, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 5*n**2 - 6*n + 6. Let c be r(4). Suppose -33*s = -44*s - 44. Put 8, s, 1, c in increasing order.\nAnswer: s, c, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2383 + 146. Let q = h + 2237.00000973. What is q rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5388931707 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a century in decades?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -1, 0.0446?\nAnswer: 0.0446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27415 divided by 5\nAnswer: 5483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 375 + 26\/((-468)\/270). Solve 18*d + j = -27*d for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1043380 divided by 5.\nAnswer: -208676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i. Let v be y(2). Suppose 2*x - 3 - 5 = -u, -2*u = x - v. What is the smallest common multiple of 20 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65073?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 165 and 1701165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/5, -1, 3, 26\/3, 1.\nAnswer: -1, -4\/5, 1, 3, 26\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -10, 0, -18 in decreasing order.\nAnswer: 5, 2, 0, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/140? (a) 0.04 (b) 0.5 (c) 0 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*c**3 - 736*c + c**3 + 948*c + 7*c**5 - 507*c wrt c.\nAnswer: 140*c**3 + 168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.6216362668 + 8874\nAnswer: 8873.3783637332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -336 + 339. Let u = 0.08 + -0.06. Let z = u + -0.02. Put c, -1\/6, z in decreasing order.\nAnswer: c, z, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -879.1 - -879.100004961. Round a to seven decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1524 and -131\/24?\nAnswer: 3048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310237736 is divided by 4843.\nAnswer: 4842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20904426 and 20904426?\nAnswer: 20904426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1))**47\/(s**(3\/8)\/(s\/(s**(-4\/11)\/s)*s)) assuming s is positive.\nAnswer: s**(8535\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.80358 + 3.19642. Let u = -0.3 - -1.3. What is the third smallest value in -5, r, u?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 - 2*t**2 + t**2)*(6023*t - 3059*t + 825*t**2 - 2967*t).\nAnswer: 1650*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuyy when four letters picked without replacement from ukykkkyku?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1179)\/(-262))\/((3\/8)\/1). Suppose -h - n - 11 = -l, -3*h = -5*n - 27. What is the highest common divisor of h and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 5*k**2 + 8*k - 2. Calculate the smallest common multiple of 22 and s(6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**(3\/5))*l*l\/((l*(l**(-6)*l)\/l)\/l))\/(l*l*l**(-3)*l*l*l\/((l\/(l**(1\/4)\/l))\/l)) assuming l is positive.\nAnswer: l**(123\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k - 5*u - 34, 3*k + u = -60. What is the common denominator of -35\/3 and (k\/5)\/(6\/(-15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 534424698 divided by 59380522\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.21 in -2, 5\/7, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 3*g - 9)*(1 - 5 + 7).\nAnswer: -9*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98635115.\nAnswer: 5, 211, 93493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2\/11*w**4 + 1344\/11*w + 16*w**2 + 1568\/11 - 48\/11*w**3 = 0.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/9)\/(3 + (-188)\/60). Suppose 5*b - 20 = -v*b. Determine p, given that -15 + 3*p**b - 6*p + 39 + 3*p**3 - 24 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 7*g - 10. Let h be k(-6). Let y(p) = 2*p**2 + 7*p - 8. Let s be y(-6). Let b = h + s. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 28*j**4 - 2699*j**2 + 17*j - 8431261 wrt j?\nAnswer: 112*j**3 - 5398*j + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the second derivative of -c**4\/12 + c**3 - c**2\/2 + c + 42. Let p be 22\/6 + 2\/(-3). What is the remainder when 30 is divided by o(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11268?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -137*20977\nAnswer: -2873849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of 125*u**4\/2 - 2053*u**3\/3 + 3*u**2 + 1400*u. Find the first derivative of n(r) wrt r.\nAnswer: 1500","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(-2)*24\/5. Calculate the greatest common divisor of l and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15915\/2122*(-2)\/6*1\/(15\/(-378))?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8055 rounded to two decimal places?\nAnswer: 0.81","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10074613 is divided by 10074587.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22.9 + -24. Suppose -3*x + 4*f = -f - 24, 5*x - f = 18. Let v = 1.4144 - 0.4144. What is the closest to m in v, 3\/4, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 82\/2289015 and 56\/5951439.\nAnswer: 29757195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 6. Let a be j(5). Is (0 - -1)*a + 59 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9811.915 centuries to millennia.\nAnswer: 981.1915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n - 4. Let b(j) be the third derivative of 0 + 3*j**2 + 0*j + 17\/6*j**3 + 1\/8*j**4. Let p(q) = -2*b(q) - 9*v(q). What is p(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*n + 1, -11*n = -k - 9*n - 16. Let p(u) = -2*u**3 - 4*u**2 - 5*u - 6. What are the prime factors of p(k)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**2. Let y(w) = -15*w + 5. Let f(o) = -7*o + 2. Let q(i) = -9*f(i) + 4*y(i). Let g(h) = 2*h + 3. Let n(r) = -2*g(r) + 3*q(r). Give n(d(u)).\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from rcacccaac?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000 (base 2) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-30 - -14) + (-11 - -3).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665 = 14*c + 119*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b69 (base 12) in base 15?\nAnswer: d460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5226 + -15677\/3. Which is the third biggest value? (a) -4 (b) 46 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of ((-8190)\/(-84))\/(4\/344)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 78.4 and 165.\nAnswer: 12936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in -3, 2\/27, 0.3, 22, 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1110011110000010111100 (base 2) to base 10\nAnswer: -3793084","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4396578 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 5*f + 14. Give i(-10).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - 11b06?\nAnswer: -11ab4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3970979 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*w + 4*s - 9*s, 3*s - 10 = -4*w. Solve 2*d + 3*y - 6 = 0, w*d - 4*y + y = 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182528?\nAnswer: 2, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/70 and -13\/5.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1 (b) -0.4 (c) 3 (d) -1.366 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 2*x**2 - 5*x - 4. Let t be r(-3). Let n be 1 + -3 + 0 + t. Let n*a**2 - 15*a**4 - 11*a**3 + 11*a + 2 + 0 + 13*a**2 = 0. What is a?\nAnswer: -1, -2\/5, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -73*k**3 + 3*k**2 + 6*k + 14. Does 13 divide r(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*g**5 + 41*g**3 - g**2 - 206*g + 11 wrt g.\nAnswer: -300*g**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 4 + (2*-18)\/3. Let w(l) = -l - 12. Let n(i) = i + 7. Let f(a) = j*n(a) - 6*w(a). Determine f(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54.211 - -1.429. Let t = s - -0.36. Let n = t + -61. Which is the third biggest value? (a) -1 (b) 2 (c) -0.1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 3*l**3\/2 + 40*l**2 - 5*l + 2. Let j be t(16). Calculate the highest common divisor of 32 and j.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7208615897.\nAnswer: 7, 1029802271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -11 (b) 382 (c) -2\/7 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:55 AM and 5:32 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2. Let y(s) = -4. Let v(a) = 2*a + 7. Let t(n) = -4*v(n) - 7*y(n). Give l(t(c)).\nAnswer: -192*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 + 9*u**2 + 7*u + 2. Let c(v) = -v**2 + 10. Let x be c(-4). What is the units digit of q(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35023397?\nAnswer: 31, 1129787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/338 and 2 + (-48035)\/21294 - (-8)\/28.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/15 - 4*t**4\/5 + 272*t**3\/15 - 44*t**2\/5 - 762*t\/5 + 144 = 0. What is t?\nAnswer: -15, -3, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - 7*q**2 - 6*q + 9. Calculate w(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 285151538651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1567386 or 148?\nAnswer: -1567386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(-4)\/(2 - -2). Suppose a*o - 74 = 4*g, 4*g - 2*g + 2*o = -46. Let b = g + 23. Solve -b*c + 3 - 7 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 71 and 3479.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -18*g**3 + 4*g**2 + 3*g + 11*g**3 - 5*g**3 - 4. Is k(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (421 + 284 + 1085)*(-271 + 271 + 20*j) - 3 + 3 + j as c + z*j and give z.\nAnswer: 35801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 700\/22 + (-10)\/(-55) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 17*v**2 - 12*v + 17. Determine f(5).\nAnswer: 382","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = p - 15, -3*b - p + 6 = 0. Solve 0*w + 15 = b*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/8 and 23\/40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9187 + -7239. What is the remainder when i is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.96*112823\nAnswer: 672425.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 4*a**2 + 4*a - 8. Calculate x(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**5 + o**5 + 2*o**5 + (-3*o**2 + 0*o**2 + 4*o**2)*(3*o + 2*o**3 - 3*o) - 209199*o**4 + 209199*o**4 - 3010*o**5.\nAnswer: -3005*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 14. Suppose 89 = -s*i - 28. Let t = -29 - i. What is the greatest common factor of t and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4\/3 - 2*r**3\/3 - 2*r**2 + 10*r\/3 - 4\/3 = 0. What is r?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22983, 23172, 23321, 23430, 23499, 23528, 23517?\nAnswer: 23466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 119 + ((2 - 25) + 2 - (1498 - 1504))\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -0*k - 2. Which is the third biggest value? (a) k (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 9*b + 3*b - 6 = -2*k, -4*k = -5*b + k - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-50))\/(15\/(-25)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/10 + (-62)\/(-10). Let h(v) = v**3 - 7*v**2 + 8*v - 7. Let a be h(m). Solve 0 = -3*q + f + 13, 2*q - 8 = 5*f + a for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 717*o + 2646*o = -649*o + 44132 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55710329*j**4 - 48352*j**2 + 55*j wrt j?\nAnswer: 1337047896*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -204863 (base 15) to base 2\nAnswer: -101110110100010111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -38, -43?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v - 31. Let l be i(5). Factor -16*c + 3*c + l*c + 3*c**2.\nAnswer: 3*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + q - 134598, 3*f - 2*q = -7*q + 201890. What is f rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -47 or -142625?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -117746*b**4 - 868037*b.\nAnswer: -1412952*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (85\/(-35)*47)\/(2\/(-4)). Let h = -228 + x. Which is the closest to -1? (a) h (b) 5 (c) -25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110579 is divided by 285.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + 5*d**2 - 8*d + 12. Let c be j(4). Is 3\/c + 3790\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 65 - 45. Let h = r - 6. Suppose 107*o = 113*o - 120. Solve -9*g + o = -h*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 484 and 2372?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of f**2 - 9*f. Let n(r) = r - 3. Let y(k) = 2*n(k) + 3*t(k). Let b(o) = 5*o. Calculate y(b(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39881174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Let s(q) = -3*q + 7. Let h be s(-9). Let p = h + -34. Solve y*z = -9 - p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011100100 + -1?\nAnswer: 1011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62, 59, 54, 47, 38, 27?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 4:01 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 - 176*g - 10634. What is f(133)?\nAnswer: 1336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-117)\/(-3) - 3) + 0. Let p = a + -20. Let k(h) = -3*h. What is the smallest common multiple of k(-6) and p?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -24, 8, 0.4, 33\/7, 4, -1?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 6*i - 5 = 0. Let l be i + 2 + 0 + -1. Let o(d) = d**3 - d**2 - d + 2. What is o(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12394948*m - 6197450*m - 6197503*m.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 5:45 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -103 - -5?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a meter in millimeters?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187.644ml to litres.\nAnswer: 0.187644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253212 is divided by 252645?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*a + 42. Let n = a - -27. Differentiate 0*x**2 - 4*x**2 - n*x**2 + 8 with respect to x.\nAnswer: -20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 + 71. Let d(y) = 6*y + 2*y**2 - y + 0*y - 7. Is d(j) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26294 less than 0.5?\nAnswer: -26293.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14167825 by -175.\nAnswer: 80959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3744, 5, 698.\nAnswer: -3744, 5, 698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.51 + -0.01. Let f = c + 0.5. Let o = 1.13 - 0.13. What is the second smallest value in o, 2\/17, f?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 504.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21812154 take away 0.5?\nAnswer: 21812153.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.17667 + -0.17667. Sort 1, k, -5, -1\/6, -27 in ascending order.\nAnswer: -27, -5, -1\/6, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.8 + 6.9. Which is the closest to v? (a) -2\/3 (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*k + 36. Does 8 divide k - 588\/18*-15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - -2593 - (3 + -1 + 0). Let k = m + -1806. Suppose 0 = 13*j - 19*j + k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 17206, 35098, 52990, 70882, 88774, 106666?\n\"Answer: 17892*w - 686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 - 7*j**2 - 5*j + 6. Let o be h(-6). What is the tens digit of 685\/6 - 3\/(o - -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386950.3 rounded to the nearest ten thousand?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 1\/12*a**4 + 0*a**6 + 0*a**5 + 0 - 3*a**2 + 0*a + 0*a**3 - 1\/70*a**7. What is the second derivative of n(q) wrt q?\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**5*t\/t**21 assuming t is positive.\nAnswer: t**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/68 and -67\/40.\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - j + (-2 + 0 - 9)*(0 + 0 + j))*(-4*j + j**2 + 4*j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090150866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -1612 - 28*y + 2*y**2 + 1612 + 2*y**3 - 3*y**2 as q + t*y + s*y**3 + p*y**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/99, 2\/99, -4, 30?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 5*h + 38, -4*w - 196*h - 20 = -193*h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39338?\nAnswer: 2, 13, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 21 = 5*l, l + j - 2 = 2. Let x = l - 3. Suppose x*b + 3*y - 7 = -0*b, -38 = -3*b + y. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/4 - (-126)\/8. Put n, 5, -5, 3 in increasing order.\nAnswer: -5, 3, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14402915 is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s. Let q(p) = 0 + 2*p + 3 - 3. Give q(k(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a + -7?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 172533 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -30 (b) -3 (c) -4\/65\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7757.02mg to nanograms.\nAnswer: 7757020000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -15\/26?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-7))\/((-36)\/(-21))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.5 times 33865?\nAnswer: 4520977.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 19532.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z**5 + 1157*z**4 + 4639*z**3 + 5803*z**2 + 2322*z = 0. Calculate z.\nAnswer: -2, -1, 0, 1161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2. Let j(u) = -940*u**2. Determine j(m(x)).\nAnswer: -3760*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - 65)*13\/(-26). What is the units digit of 75 + (3\/12 - c\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.6 + -0.6. Let m(b) = b**2 - 4. Let u be m(-2). What is the closest to -0.1 in d, -1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {q: 6, k: 3, g: 8}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601039 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + z + 5*z)*(3*z**2 - 3*z**2 + 2*z**2) + 8*z**3 - 1 - 9*z**3 + 5 + 7*z**2.\nAnswer: 3*z**3 + 7*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2. Let b(t) = 14*t**3 - 9*t**2. Determine -b(d) - 4*s(d).\nAnswer: -14*d**3 + 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + n**2 + n. Let g(q) be the first derivative of -q**4\/4 - q**2\/2 - 1. Suppose 0 = -4*j + 6*j - 12. Let w = j + -5. What is w*v(k) + g(k)?\nAnswer: -2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*d = 3*i - 29, 2*d = 2. Let v be (-3)\/(15\/i + -1). Let f(j) = 9*j**2 + 2*j - 1. Is f(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/116*(-82)\/(-123)*1.\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2793 divide 82602975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 73 and 0.15251.\nAnswer: 11.13323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/22 + 200\/(-1100).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 389583 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: Let u = -3358 - -3360. Which is the fourth biggest value? (a) 4 (b) -1\/6 (c) 0 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23946 and 35919.\nAnswer: 71838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 460\/483 + (-4)\/14?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f + 19091 = -4581. Let t = -9144\/17 - f. Suppose -4\/17 - 8\/17*k**3 + t*k**5 + 4\/17*k**2 + 6\/17*k + 0*k**4 = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/((-440)\/16))\/(6\/(-5)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 234?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18380, 18390, 18414, 18458, 18528?\n\"Answer: l**3 + l**2 + 18378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -56*c**2. Let d(k) be the first derivative of 8*k**2 + 120. Calculate l(d(s)).\nAnswer: -14336*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0615037 rounded to 4 decimal places?\nAnswer: -2.0615","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2196.94 + 2197. What is the nearest to 0.1 in -0.87, -0.5, o, -3\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -207*d**2 + 23*d**2 - 59*d**2.\nAnswer: -243*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 + 2. Suppose -4*h = -11*h - q. Sort -9, h, -5 in descending order.\nAnswer: h, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + (sqrt(252)*2 + 2 + -2 - (-1*sqrt(1008) + 1)**2).\nAnswer: -1010 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + (2 - -10))*-1. Let u = t - -21. Suppose w - 10 = u. Does 11 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*6 - (104 - 116). Let i = 0.1 - 0.4. Let f = -0.2 - i. Which is the second smallest value? (a) f (b) v (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*l - 0*l - 575, -4*c + 458 = 2*l. Suppose 42 = 43*t - 22*t. Suppose -i - k - 3*k = -c, -2 = t*k. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m**2. Let n(w) be the third derivative of 11*w**5\/30 + 2*w**2 - 13*w. Give r(n(f)).\nAnswer: -2904*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 10*w**2 - 11*w + 13. Give m(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 76*a + 164. Is 28 a factor of h(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-4)*((-252)\/(-30))\/(-7). Suppose 588 = o*x + 3*x. Suppose -3*s + x + 205 = 0. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 2:49 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/5))**(-2\/19)*(f\/(f**(-7)\/f)*f*f)\/f**(17\/4) assuming f is positive.\nAnswer: f**(2549\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 7:15 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 35953105 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: Three letters picked without replacement from eeeeeswwwwwewwwwwee. What is prob of picking 3 e?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/270*-9)\/(((-3844)\/24)\/(-31))\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y. Let k(v) = -15*v. Let w(n) = -451*n. Let r(o) = -121*k(o) + 4*w(o). What is r(f(m))?\nAnswer: -55*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 103.3 + 88.89. Let x = d + -193. What is x rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/11, -1, 0.06, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3913 - 3823. What is the lowest common multiple of r and 72?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(36\/1670))\/(-1). Let j be -2 - (-94 - (-3)\/(-3)). Let r = z - j. Is r less than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 58, 7, 4, 6, -4 in decreasing order.\nAnswer: 58, 7, 6, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a week in minutes?\nAnswer: 2688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -84257.\nAnswer: -28\/84257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -5*r**4\/24 + 3*r**3\/2 + 3*r**2. What is the derivative of f(w) wrt w?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45\/36*9\/30\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 - 47*b\/5 - 546\/5.\nAnswer: -(b + 21)*(b + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-36))\/(2*(-1)\/(-8)). Which is the nearest to -9? (a) 5 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/9)*b\/(b*b\/(b**(-1\/7)\/b)))**28\/(((b**(1\/3)*b)\/(b\/b**2))\/(b*b*b\/b**(-1\/3))**6) assuming b is positive.\nAnswer: b**(-269\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -2 - 17 - (8 + (-25 - -15))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 0 in descending order.\nAnswer: 3, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 1 + 25\/(550\/154)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*r**2 + 397*r - 402285.\nAnswer: 10*r + 397","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*d - 8 = -96, -2*d + 2 = 0. Let p = -141 + l. Let z = 145 + p. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65)\/2)\/13*5\/(-425)*4.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15711968 to the power of 1\/2, to the nearest integer?\nAnswer: 3964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(1\/4)*v))**(-42)*v*v**(2\/15)*v*v\/(v\/((v**(-3)*v)\/v))*v**(-2\/17)*v**5*v*(v**0)**(-41) assuming v is positive.\nAnswer: v**(7913\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -36 >= -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31960 = -121*o + 104*o. Does 23 divide o\/16 - -12 - (-5)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 94 + -95. Let y = 5 + -3. What is the nearest to r in y, -0.2, -13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -476*b**4 + b - 2*b**3 + 0*b**3 - b**3 + 495*b**4 in the form p*b + w + g*b**4 + j*b**2 + d*b**3 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (1\/2 + -1)*-8 + 13420 + -39.\nAnswer: 5, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-1 + -1)*0. Suppose -5*l + 9 = -4*a, -2*a - a + 12 = f. Solve -11 = -l*w - 3*t + 4*t, -2*w = 2*t - 2 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2124960 is divided by 3400?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -6 + -2 - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 426234 is divided by 893?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5631*o + 11193 wrt o.\nAnswer: -5631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h - 3. What is d(-4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(-2*l - 9 + 9) + (-2*l - l + 0*l)*(-2 - 1 + 4).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -11. Which is the closest to -1\/3? (a) 3 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -6157*q - 2. Let r(i) = -7558*i**2. Calculate d(r(w)).\nAnswer: 46534606*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 31*r**2 - 1106*r + 9134. Give l(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 103, 99, 97, 97, 99?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 4*d**3 + 359132*d**2 - 36*d - 3232188 = 0.\nAnswer: -89783, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wx when two letters picked without replacement from ixnixwxnnnnnxnidi?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(720))*3 - (-3 + ((sqrt(45)*-1)\/sqrt(9) - (sqrt(180) + -2))))**2.\nAnswer: -910*sqrt(5) + 21174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:20 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 40347 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*44\/(-16) - -62. Calculate the greatest common factor of l and 340.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. What is the derivative of -16 - 27 + q - 8 + 60*m**2 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 75 = -5*q + 634, 5*j - 4*q = 425. Solve -4 = -88*s + j*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -25, -0.4 in ascending order.\nAnswer: -25, -5, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(170)*-3 + sqrt(170)))\/((sqrt(70) - -2*sqrt(70))\/sqrt(7)) + -4.\nAnswer: -4 + 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*p + 322463, 14*p - 10*p = -n + 429958. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 532 and 21147?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 - 4) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.022, 0.2, 2?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 128 - (112 + (-23 - 76)).\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -9. Let x = 61 + p. Suppose c + x = 4*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s + 24. Let k(r) = -4*r - 24. Let t(z) = -5*f(z) - 6*k(z). What is the derivative of t(h) wrt h?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, u: 2, h: 2, t: 3, x: 2, a: 5}. What is prob of picking 3 t?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3 - 448774*g**2 - 897542*g - 448770 = 0. Calculate g.\nAnswer: -224385, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**3\/15 + 21308*k**2\/3 - 106538*k\/15 = 0?\nAnswer: 0, 1, 53269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1833122294 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.25058277 rounded to 3 decimal places?\nAnswer: 79.251","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**3\/3 - 2*g - 3. What are the prime factors of i(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*j + 3*i + 328003, -82003 = j + 3*i. What is j rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from unxxxxxwgunkunxxg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4630159 grams to kilograms.\nAnswer: 0.0004630159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -13. What is the greatest common factor of k and 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 4. Put -4, -5, q in descending order.\nAnswer: q, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 10*d**2. Suppose f + 6 = 2*i, 0 = -5*i + 5*f - 10*f. Let z(n) = -20*n**i - 19*n**2 + 49*n**2. Determine w(z(g)).\nAnswer: 1000*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**3\/2 + 101400*o = 0. What is o?\nAnswer: -260, 0, 260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4922 - 1908. Suppose -q = -25*k - 439. Is 31 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2604420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 0.8, 0.4, 2.2, 3\/2, 5, -1\/35?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16973.\nAnswer: 11, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - j + 107 = 0, -24*j + 20*j = -3*s + 144. Calculate the remainder when 287 is divided by s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1 + (sqrt(68)*-4 - sqrt(17)).\nAnswer: -9*sqrt(17) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o - 3. Let r be i(0). Let p(b) be the third derivative of b**5\/20 - 7*b**4\/12 - b**3 + b**2. Let g(j) = j**2 - 5*j - 2. What is r*p(v) + 8*g(v)?\nAnswer: -v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1367 is divided by 1153?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(567)\/sqrt(9)*-5 + sqrt(63) - sqrt(63)))**2.\nAnswer: 1575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 179565.8us to nanoseconds.\nAnswer: 179565800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 11. What is the second smallest value in b, 1, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 4 - 2\/1. Let y(v) = 3*v + 13. Let q be y(-3). Suppose -j + 2*o - 3 = 0, j - 6 = q*j - 5*o. Is j < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.77467 times 0.07?\nAnswer: -0.3342269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2194*y - 2196*y = -58 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 630321 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: Calculate prob of picking 2 w and 2 s when four letters picked without replacement from wsssswssms.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11384, 22774, 34164?\n\"Answer: 11390*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 316 in 0, 5, 168, 9.3, 2\/7, 0.5?\nAnswer: 168","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l - 10. Let w(m) = -m**2 + 5*m + 7. Let o be w(6). Let b be -2 + (2 - o) + 8. What is the remainder when 21 is divided by d(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -0*x - 3*x - 1380, -5*x + d - 2317 = 0. Let l = -203 - x. Suppose 0 = -2*m - 43 + l. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -745888.256 take away -0.2?\nAnswer: -745888.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -397\/51 - -23\/3. Put 1, s, -6 in increasing order.\nAnswer: -6, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(35\/(-490)*3)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 849*r = 421*r + 407*r - 105. Let c = -0.1 + 0.2. Let y = 0.3 + -0.7. What is the closest to c in y, r, 1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 2:43 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 84 - 39. Let u be 2\/11 - r*(-290)\/165. Calculate the highest common factor of 40 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 15 = -7*h + 3*h, -5*r + 5 = 0. Find the third derivative of -4*t**h - 2*t**4 + t**2 + 4*t**4 + 0*t**2 wrt t.\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**3\/3 + p**2 - 78. Give k(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.8 times -2.7\nAnswer: 34.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2193 and 12083?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 141323 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - u + 20 + 50 = 0, -3*o = 2*u + 91. Let t be (o\/(-2))\/((-2)\/(-4)). Calculate the greatest common factor of 22 and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j**3 + 6*j**3 - 4*j**3 - j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3505565 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*d + 240*d + 105*d - 12584 = 110*d for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, g: 1, y: 5}. Give prob of sequence bgby.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 28. Calculate the remainder when 52 is divided by a(0).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12526413 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 1\/8*q**4 + 1\/3*q**3 + q - q**2 + 0. Let h(g) be the first derivative of r(g). What is the first derivative of h(j) wrt j?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-72)\/(-2496) - (-1)\/8. Let o be (-6)\/8*28\/(-78). Let l = -87\/130 + o. Which is the nearest to l? (a) w (b) -1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*m + 1213634 - 1213502 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**3 - 5*k**3 - 12*k**3.\nAnswer: -42*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 8*z - 10. What is a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 64.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.06 and -306.\nAnswer: -306.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 0*h = 3*h + 29, 4*h = -12. Let t(d) = d**2 - d + 35. Let m be t(0). What is the highest common divisor of q and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.01 - 1.9. Let a = -28.6 + 28.614. Let l = a + x. Round l to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -0.8 (c) -9 (d) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12462788419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 3 - (-46774)\/70. Let v = 668 - x. Determine z, given that 16\/5 - 1\/5*z**3 + 9\/5*z**2 - v*z = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f*f\/(f\/(f\/(f\/(f\/(f**(-5)\/f)*f)))*f)))**(3\/43)\/((f\/(f\/(f\/(f*f\/f**(-7\/6)*f))))\/f**(-14)) assuming f is positive.\nAnswer: f**(-2903\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 746308693 and 4.\nAnswer: 2985234772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/112 + 2\/(-8). Let o = 61.032 - 0.032. Let j = 58 - o. Put -2, y, j in increasing order.\nAnswer: j, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 20*u**2 - 36*u + 8. Let r be k(18). Suppose j = -2*o + 1, 5*j - r = 5*o - 33. Solve 3 = -2*z + o*f - 3, 12 = -2*z - 4*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/15*-3*1. Let j(l) = -2*l**3 + o*l**2 - 1 + 9*l**3 - 2*l**2 + 2*l**2. Determine j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 915664.4kg?\nAnswer: 915664400000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.013 + 16.287. Let p = -16.5 + y. Let m be 8\/12*3\/(-4). Which is the nearest to -1? (a) p (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5.06 times -1.8\nAnswer: -9.108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(24\/(-14)) + 21\/126. Let t be (((-5)\/(-30))\/(j\/(-3)))\/1. What is the second biggest value in -1, 1\/3, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 7, -4, -21, -44, -73, -108?\n\"Answer: -3*u**2 + 4*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -354255.3 * -16\nAnswer: 5668084.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-36)*-29846)\/((-3)\/72*-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 9 = -5*w, 2*n = -0*w + 2*w + 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 5*r**2 + 2. Let p be k(5). Suppose f - p*d = -0*d + 1, -d - 3 = -3*f. Let v = 3\/2 - f. Which is the closest to 0? (a) v (b) -0.05 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence elte when four letters picked without replacement from teessel?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i + 8. Suppose 2*g = g - i. Let z(h) be the third derivative of h**6\/120 + h**5\/12 + h**4\/12 - 5*h**3\/6 + 1950*h**2. Calculate z(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, 9, -0.4, -7, -3 in decreasing order.\nAnswer: 9, -0.4, -3, -7, -170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 523904057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13986790 equal to 97907525\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -19. Is x at least -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 10) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 437, 852, 1255, 1640, 2001, 2332?\n\"Answer: -b**3 + 422*b + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**3\/3 - 29260*g**2\/3 - 107601250*g\/3 - 4257362000\/3 = 0. Calculate g.\nAnswer: -7295, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -654 - -656. Let k(c) = 0 + t - 219*c + 83*c + 82*c. Let m(o) = 2*o**2. Calculate m(k(y)).\nAnswer: 5832*y**2 - 432*y + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + -4 + (-15)\/(-3). Suppose -d = 2*d - k. Suppose -7 = z - 2*z. Calculate the smallest common multiple of z and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 5 - 77. What is the remainder when r is divided by 14 + 5*(-49)\/35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25554885*x + 28151375 wrt x?\nAnswer: 25554885","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -3, -2\/9 in decreasing order.\nAnswer: -2\/9, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -353 (b) 0.3 (c) -1\/6 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3578881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -4*b**5 - 74164*b**4 - 459269688*b**3 - 955526279616*b**2 - 34775768627712*b - 95739963641856 = 0.\nAnswer: -6168, -34, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 310\/171 + 19843\/342. Let u = c + -60. Let y = -1 + 2. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 19*t - 14. Suppose -2919 = -66*b + 73*b. Let q = 437 + b. Give v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -1. Let w be (138\/(-874))\/(10\/(-95)). Factor -w*v**2 + a*v - 9\/2.\nAnswer: -3*(v - 3)*(v - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, y: 8, i: 3, o: 4, s: 2}. Give prob of sequence ii.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04435 to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + 23*r - 48 = 0. Calculate the remainder when r is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide -18 + 18 - (4\/(-8)*-8 + -3497)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 6*d**2 + 14*d - 132. Let j(y) = y**2 + 2*y - 19. Determine 22*j(a) - 3*k(a).\nAnswer: 4*a**2 + 2*a - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3315793 is divided by 3056?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9445 by 31.\nAnswer: 9445\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 11, 208 in descending order.\nAnswer: 208, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 13*x**2 + 32*x - 1. Let o be l(-15). Let w be (2\/6)\/(o\/(-465)). Suppose -5913 = -4*r - f, 10361 - 2951 = w*r + 5*f. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66258000 rounded to the nearest 100000?\nAnswer: -66300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 905.2 - 964. Let z = 57.4 + s. Suppose -6 = -2*h - 0*h. Which is the second biggest value? (a) z (b) h (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 9, -5*l + 4*c = 7*c - 29 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c + 4. What is the remainder when 21 is divided by o(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**7\/42 + 3*g**6\/8 - 5*g**5\/4 + 35*g**4\/24 + 2*g**2 + 105*g. Determine s, given that h(s) = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 27*w**2 - 12*w + 13. Suppose -3*s = -6, -4*s + 5*s + 6 = -2*c. Is g(c) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -100, -118, -136, -154, -172?\n\"Answer: -18*r - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15347, -61503, -138425, -246107, -384543, -553727?\nAnswer: -753653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -1 + 1 - 2. Let n be (-2)\/d + -8900004*6\/(-60). Round n to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in three fifths of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 3 = 21. Suppose x + 17 = 3*g, 0*x + 5*x + a*g = -13. Let v(o) = -o**3 - 6*o**2 - 8*o - 5. Determine v(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 + 3*u + 1. Let r be v(3). Which is greater: r or 2\/35?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 52 = n. Let r = -3 + n. Let l be (-374)\/(-10) - r\/25. Solve 2*w - 21 = 3*m, 2*w - 5*m = -2*w + l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15748 - -15752. What is the greatest common factor of f and 4460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = 10*t - 9845. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18423611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 4, 10, -5, 2.\nAnswer: -5, 1, 2, 4, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 73.2 + 4216.4978377\nAnswer: 4289.6978377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85700 = -5*z - d, -2*z - 2*d - 4416 = -38704. Let r = z + -11758. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(68))*1 + sqrt(272) + (sqrt(272) + 0)*-1.\nAnswer: 1 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4525*k**5 + 728*k + 2?\nAnswer: -90500*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - y + 10 = 0. Sort -5, y, -3 in increasing order.\nAnswer: -5, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/(-40)*4*2. Solve i = -2 + d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = n - 36. Suppose -4*l - 40 = -2*o, 4*o - 65 - 9 = 2*l. Let y be (-6)\/n + o\/4. Solve 0 = -y*v - 0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3623\/3 - 1185. Let u = -22 + g. Suppose -k - 1 = 4*y - 10, 5*k + 2*y - 9 = 0. Which is the closest to u? (a) k (b) -1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-6)\/(b\/b**(-9))*((b\/b**1)\/b)**(-3\/16))\/(b**1*b**2\/b*b*b**(-4\/3)\/(b*(b*b*b**(-1\/3)*b)\/b)) assuming b is positive.\nAnswer: b**(-237\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/13 (b) 4 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-9\/2)*q**2)**48 assuming q is positive.\nAnswer: q**360","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316649.\nAnswer: 316649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1174 times 0.0149899?\nAnswer: 17.5981426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.0682 + 9\nAnswer: 9.0682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 751\/(7 - 408\/60)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**4\/7 + 27224*j**3\/7 + 27222*j**2\/7 = 0. What is j?\nAnswer: -13611, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.95 - -0.85. What is the third smallest value in -2, -0.3, -3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (0 + -2*(-4*sqrt(2448) + sqrt(2448)) - 3*(sqrt(2448) + 1)*1)**2.\nAnswer: -216*sqrt(17) + 22046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 119171140*5\nAnswer: 595855700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, j: 4, t: 3}. What is prob of picking 1 t and 1 j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = a. Let s be 4 + (0 - (-6)\/(-3)). Solve -2*n = 5*d + 9, s*n + a*d = 2*d - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15424498933 and -14.3.\nAnswer: 15424498918.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -103 (b) -3 (c) 1\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 14*o - 15. Determine s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 5 in ascending order.\nAnswer: -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in 3\/8, -356, -1\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03426745 to three dps.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 3*t. Let s(g) = 88*g**2 - g. Let u(m) = 2210*m**2 - 25*m + 95. Let p(w) = 25*s(w) - u(w). Calculate p(k(h)).\nAnswer: -90*h**2 - 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 8) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29427710 or 29427698?\nAnswer: 29427710","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -306 and -6.44480478?\nAnswer: 299.55519522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 78 - 46. Is 15 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*k + 25*k - 99*k + 25*k + 43*k**2 + 29*k - 5 to p + z*k**2 + j*k and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 33\/5 of a gram?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 0 + 0 + 2*g**2. Let r(a) = 14*a - 7*a + 15*a + 4*a - 3*a. What is h(r(v))?\nAnswer: 1058*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -25936, 16, 7 in descending order.\nAnswer: 16, 7, 2, -25936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3507575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of 2*m**3\/21 + 1977*m**2\/7 + 3952*m\/7 - 13504. Factor c(s).\nAnswer: 2*(s + 1)*(s + 1976)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -342 (b) 3 (c) -0.3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2019801989 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 3*u + 42. Let l be j(16). Let v be (-3 + (-32)\/(-12))\/((-20)\/l). Factor -81\/2 - 27\/2*x**2 + 81\/2*x + v*x**3.\nAnswer: 3*(x - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1573)*-4)**2.\nAnswer: -264*sqrt(13) + 25177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 7 - 18*o + 8*o. Calculate the remainder when 95 is divided by c(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16728300 divided by 1\nAnswer: -16728300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 986222645 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 the closest to -1\/7? (a) -13 (b) -0.4 (c) 3 (d) 135 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.08 (b) 7 (c) 6 (d) 5 (e) 2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.4, 0.5, 7, -20659 in decreasing order.\nAnswer: 7, 1.4, 0.5, -20659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45090243 to the power of 1\/3, to the nearest integer?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101101 and 616.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 108898109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*l = -12, -2*l - 3 + 9 = g. Suppose g*n + 5*i - 33 = -2*n, -5 = -i. Let d be 1577 - 0\/n - -3. Round d to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**2. Let y(t) = -9*t**2 - 5. Let n(l) = 5*l**2 + 3. Let r(c) = 2*c + 3. Let g be r(0). Let k(q) = g*y(q) + 5*n(q). Give b(k(w)).\nAnswer: -20*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**3\/3 + 2*q**2 + q - 2. Let i be o(4). Let u = -23 - -26. Sort -4, i, u.\nAnswer: -4, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -4323*b + 501469. Calculate c(116).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -4*d + 14. Let k(m) = -m + 3. Let q(j) = -14*k(j) + 3*u(j). Let f(r) = 3*r**2 - 2. Determine f(q(a)).\nAnswer: 12*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200*109\/(-5995))\/(2\/66)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349335770.\nAnswer: 2, 5, 7, 101, 49411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9490 - 72*x**3 + 9490)*(4*x - 4*x - 3*x).\nAnswer: 216*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2425+68454\nAnswer: 66029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w**3 + 0*w**3 + w**3)*(-11293 + 35*w - 21*w - 6598 - 10*w - 19293) as b*w**4 + x*w**3 + t*w**2 + d*w + h and give x.\nAnswer: 37184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -9*o**2 + 8*o - 7. Let y be h(3). Let q = y + 74. Find the third derivative of 4*w**6 - 4*w**2 + q*w**2 - 11*w**2 - 20*w**2 wrt w.\nAnswer: 480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*12\/(-8)*90\/(-28755)*-6.\nAnswer: 2\/71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**3 + 24318*u - 24318*u.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + ((sqrt(68)\/sqrt(2))\/sqrt(2) - sqrt(17)) + sqrt(17) + sqrt(17)))**2 + sqrt(187)\/sqrt(275) + (sqrt(2057) - (1 + sqrt(2057))))*-5*3.\nAnswer: -37245 - 2163*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164 + 65 - 66 + (1 + 3 - 2)*(2 + 0 - 1))*(-1 + 2 - 3)*(1 - 11 + 3)*(0*v + 1 - 4*v + 3*v).\nAnswer: 2282*v - 2282","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6833 - 6*n + 3302 - n + 3534 - 3*n.\nAnswer: -10*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35 + -30 - (7 - 1). Let j = 0.7 - 4.7. Which is the nearest to o? (a) -5 (b) 0.2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -3) + 57\/(-19). Let z(l) be the second derivative of 2*l + 0*l**4 + i*l**2 + 1\/20*l**5 + 0*l**3 + 0. Solve z(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136*t**3*y**3 + 4*t**2*y**3 + 10*t*y**2 - 2*y**3 wrt t?\nAnswer: 816*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9775 and 10625?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17))**(-2\/9)*(d\/d**11)\/d**(-12) assuming d is positive.\nAnswer: d**(310\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 3*k**2 + 15*k - 21. What is t(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(1216) + -1 - sqrt(1216))*-4)**2 + (1*(sqrt(171) - (-2*sqrt(171) + sqrt(171) - sqrt(171))))\/(sqrt(63)\/sqrt(112)).\nAnswer: 13 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -20. Suppose -n + 3 = 4*x + 19, -x - 4 = o. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 4) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 5. Let s = o - -7. Find the first derivative of -j**s - 2 - j**4 + 0 wrt j.\nAnswer: -8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -l**4\/6 + 3*l**3\/2 - 9*l**2\/2 - 14*l. Let m(q) = 3*q**2 - 13*q + 14. Let w(b) = 8*k(b) + 5*m(b). What is w(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**3 + z - 3. Let y be g(-3). Calculate the greatest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b (base 13) in base 7?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yqc when three letters picked without replacement from {c: 6, q: 3, y: 3, z: 1}.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 364465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -44 + 93. Let a = -31 + o. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 12*r + 13*r.\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**(-42)*u*u\/(u\/u**(3\/8)) assuming u is positive.\nAnswer: u**(355\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 128013274 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 8*z - 25091 - 104483.\nAnswer: 2*z - 129574","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.332 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -5. Suppose -20 = -4*x + 2*d + 2*d, 21 = 5*x - i*d. Solve -5 = z - x for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -11\/2, -0.20341, -5, -0.3, -2, 0.5, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*n - 1 + 934 = -52*n - 957 for n.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2141, -2 in descending order.\nAnswer: 9, -2, -2141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 30 = -4*g. Let c be (24 - g) + 0 + 2. Suppose 0 = -3*l - c - 3. Is l greater than or equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209) - (-5*sqrt(209)*3 + sqrt(209) + sqrt(209)) - sqrt(209))\/(2*-2*sqrt(11)))**2.\nAnswer: 3211\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -5*l - 0*a - 25, 0 = 2*l - a - 5. Suppose l = -4*i + 33 - 153. Let m = 50 + i. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 88854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 + 1207*a**2 - 1586*a - 7262. Determine t(401).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 15*r - 25. Calculate the remainder when 42 is divided by b(17).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.3 (b) -116 (c) 0.6 (d) 0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 11*o - 1. Let p(a) = a**3 + 30*a**2 - 3*a - 86. Let y be p(-30). Let k(b) = b**2 - 4*b - 3. Let x be k(4). Let g = y + x. Give h(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 0*q**5 + 17\/15*q**6 + 0*q**2 + 12*q - 5\/6*q**4 + 0 + 0*q**3. What is the third derivative of m(p) wrt p?\nAnswer: 816*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (6 + 1 + -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + 23*r**2 + 61*r + 565. Determine y(-11).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*g**4 + 4*g + 4 - 8*g**4 - 4 wrt g?\nAnswer: -132*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - -4*sqrt(187))*-3)\/((4*sqrt(110))\/sqrt(10) + sqrt(11) - sqrt(11)).\nAnswer: -15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 131 + -1180\/9. Let u = -1132 + 1129. What is the closest to -0.1 in 0.1, u, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooloolloll. What is prob of picking 4 o?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.7 - 7.3. Let l = -7.88 - g. What is l rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/66 and 119\/20694?\nAnswer: 227634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4003423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -15*z - 72. What is the nearest to z in 2\/7, -0.4, 0.06, -3\/8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 16*q + 23. Let u be z(-24). Let w(b) = 32*b - 6. Let i(x) = -897*x + 169. Let t(k) = u*w(k) - 6*i(k). Let f(s) = 2*s. Calculate f(t(d)).\nAnswer: -52*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6\/28937 or 0?\nAnswer: 6\/28937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*d + 77*d + 1584 = -74*d. Sort d, 30, 2 in decreasing order.\nAnswer: 30, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -222*v**3 - 3*v**2 - 38*v - 57. What are the prime factors of a(-4)?\nAnswer: 5, 2851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5158359 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence biiz when four letters picked without replacement from abziiai?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -4*p. Let r(t) = -1466*t + 2. Determine r(i(w)).\nAnswer: 5864*w + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865.2797 millilitres to litres.\nAnswer: 0.8652797","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -210533\/43860 + 1\/8772. What is the fifth smallest value in r, 7, 0.3, -0.3, 2\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 4. Let z = 598639 - 33523785\/56. What is the second biggest value in v, 0, z, -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*b + 7*b + 6, -6 = 2*b. Solve -5*a - 7*i = -3*i - 33, t = -3*a - 5*i + 25 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.175799808 to 5 dps.\nAnswer: 0.1758","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3034 divided by -2.\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1661 + -1?\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2102, 2030, 1902, 1712, 1454, 1122?\n\"Answer: -x**3 - 22*x**2 + x + 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, -52, 2, -1, 29, 1 in descending order.\nAnswer: 29, 2, 1, 0, -1, -6, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 8*c**2 + 23*c + 151. Determine b(-5).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174883?\nAnswer: 179, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 11*i - 44. Let o be q(14). Let k(y) = 2*y**3 + y. Let r be k(-2). What is the common denominator of 7\/11 and (r\/o)\/((-5)\/(-6))?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 19987914*r**2. Let u(z) = 40*z. Determine d(u(w)).\nAnswer: 31980662400*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, w: 15, z: 3}. What is prob of sequence ez?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -348 divided by 87?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.22 + -1.32. Let y = 408 + -405. Which is the second biggest value? (a) -2\/7 (b) -4 (c) y (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, g: 1}. What is prob of picking 1 s and 1 g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -7*t + 18. Let o be r(1). Suppose 3*b = -2*d + 4*d - 9, 4*d = b - 7. Put o, d, 5 in ascending order.\nAnswer: d, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -1\/6*k**3 + 2*k + 0 + 5\/2*k**2. Let w be j(5). Is w != -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 4*b - 94 = 247, 2*i + 5*b - 691 = 0. Let n = 360 - i. Sort -3, 2, n, 4.\nAnswer: -3, 2, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8386876790 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -3*p - 29, 15 - 36 = -3*m + 3*p. Suppose 0*v + m*v = 0. Suppose v = -2*c + 11 + 1. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27844039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 4*s**3 + 12944*s**2 - 1851244*s - 9579320 = 0.\nAnswer: -3373, -5, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.7 - 60.3. Let t = h + 67.74. Let u = t - -0.26. What is the third biggest value in 3, u, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -47a8 + -2?\nAnswer: -47aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 + (-2 - -14) + 13. What is the highest common factor of 717 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5751, 11481, 17211?\nAnswer: 22941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63703500 is divided by 420.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 2*f - 333 = 365, -2*d - f = -689. What are the prime factors of d?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 107*h + 66333. What is o(-620)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7018569, -7018572, -7018575, -7018578, -7018581, -7018584?\nAnswer: -7018587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -220102 (base 4) to base 11\nAnswer: -1a34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 1804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 12:20 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 431147706?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 365.394 + -63.184. Let x = f - 1.21. Let t = -301.00493 + x. Round t to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 PM and 3:19 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cffcbgcfbb. Give prob of sequence bcb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(360)*2 + sqrt(360))\/(sqrt(40) - sqrt(160)))\/(sqrt(1728)*1 + (sqrt(588)*-6 - sqrt(12)) + sqrt(12)).\nAnswer: -sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(108))\/(5*sqrt(16)\/sqrt(4)) - ((sqrt(33)\/(sqrt(44) - sqrt(396)))**2 + 3 + -5).\nAnswer: 29\/16 + 6*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 e when two letters picked without replacement from prgzesr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-171)\/(-12))\/(6\/16). Suppose -37*v = -u*v + 25. Solve -x - 4*b = v - 6, -5*x + 1 = -4*b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 12, -5*z + 0*w + 48 = -4*w. Suppose q + z = 14. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 78422566.5 to the nearest 10000.\nAnswer: 78420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + -30 + 37 + (2 - -12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70715020 by 1.\nAnswer: 70715020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = -3*l - 41. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, y: 9, i: 5}. Give prob of picking 2 d.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89338488 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.98402m to centimeters.\nAnswer: 3598.402","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y. Let f be j(-1). Let c(x) = x**3 - 9*x**2 - 35*x + 6. Let v be c(12). Let w = v - f. Calculate the remainder when w is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/30 and -59\/791830.\nAnswer: 2375490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*n - 306*n - 138*n - 39*n = 14875 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -3277 + 3286 + 0 + (-8 - 1) - 133?\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 - (-5 - -1))\/((-1)\/(-167)). Suppose 3*k - p - 64 = 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -228 - -229.17. Let h = 1.9 - l. Let i = h - 0.7299967. Round i to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3 - 74*p**2 + 36*p wrt p?\nAnswer: 12*p - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (63\/14)\/((-3)\/(-16)). Let b(p) = -p**2 - 4*p + 1. Let c be 1\/(-2) - 10\/4. Let v be b(c). Solve 3*r - 9 = 3*q, 4*r + 4*q - v = f for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-244)\/732)\/(1*(-1)\/71)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -223, -250, -299, -376, -487, -638, -835?\nAnswer: -1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3644912 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -3920941\/27 bigger than -145220?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - t - 2*t**2 - 148 + 153 + 2*t. Let l be r(-3). Suppose -l*s + 4969 = -3798. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (3 - 1) + -3 + 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 505 - 944. Let i = p - -69. Round i to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**3 + 16*a**2 + 4*a - 28. Let y be r(8). Suppose -2*l + t - 246 = 0, -3*t = -y*l + t - 488. Is -125 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 373201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20208, 161571, 545274, 1292487, 2524380, 4362123?\n\"Answer: 20195*v**3 - 2*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (67 - 124 - -61) + (-1 - 0 - -15).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 216113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6 = -4*u + 8, 2*u = 2*f - 4. Let s = 18 - 3. Suppose 5*g + 0 = s. Solve -5 = 2*q - u*b, -b - 2 = 2*q - g*b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 92. Let i be (-1)\/1 - (-224)\/8. What is the greatest common divisor of a and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 478, 970, 1472, 1990, 2530, 3098, 3700?\nAnswer: 4342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 6) in base 2?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 22. Suppose -3*z + 45 = y + 14, 108 = 4*y + 4*z. What is the highest common divisor of y and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*b = 3*b - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*r - 4*r + 11 - r**2 + 213.\nAnswer: -r**2 - 9*r + 224","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -754? (a) -0.4 (b) 193 (c) -3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 2:11 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 154280 and 837368?\nAnswer: 1064","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/69)*z)\/z**(2\/17) assuming z is positive.\nAnswer: z**(1069\/1173)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16*((-329)\/168 + 2). Which is smaller: b or 473?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 7. Let w be -3 + (-1700)\/y - (0 + 2). Suppose 3*x + r = 244, -5*r = -0*x + 5*x - w. What is the tens digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17927 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 o(u) = -8*u**2 - 450*u - 16870. Let f(r) = -r**2 + 1. Let n(l) = 5*f(l) - o(l). Factor n(t).\nAnswer: 3*(t + 75)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, -33451, 2, 5.\nAnswer: -33451, 1, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -409.6 - -410. Which is the nearest to -0.3? (a) 1 (b) 1\/50 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 33.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 10734?\nAnswer: 107340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from escssee. Give prob of sequence se.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 988*m - 163*m = -12375 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 3:39 PM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(448) - (1*sqrt(448)*2 + sqrt(448))))*1 + -5 + -1)**2.\nAnswer: 288*sqrt(7) + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 53*f**2 + 47*f + 197. What is g(52)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 118, 97, 42, -65, -242, -507?\n\"Answer: -3*y**3 + y**2 - 3*y + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8112 = 88743*n - 88236*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -132*d + 1064. What is the least common multiple of h(6) and 280?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -u - 124320, -5*y + 229*u + 124300 = 224*u. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691022 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tiiowmnmmtiw. What is prob of sequence mtt?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5 + -1 + sqrt(320) - sqrt(320)) + -6*(0 + sqrt(320)))**2 + (3*(sqrt(320) - 4*(-1*sqrt(320) - sqrt(320))))**2)*5*-4.\nAnswer: -4896320 + 7680*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*u + 240 = 0, 4*z - 3*u - 9 = -0*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 780 or 825?\nAnswer: 780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4.0000018. What is f rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 - 7*q + 5. Let x(c) = c - 1. Give r(z) + 4*x(z).\nAnswer: -z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -45842*r**3 - r**2 - 10*r + 3849.\nAnswer: -275052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -44) + (22 - 7) + 28.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 23646*k**2. Let v(u) = 17*u**2. Determine g(v(l)).\nAnswer: 6833694*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + 1*sqrt(1100) + sqrt(1100))*-3.\nAnswer: 27 + 180*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 721551679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 130599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -74, 5 in ascending order.\nAnswer: -74, -0.2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, m: 10}. What is prob of picking 2 n?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + 513. Suppose -a = -2728 + l. Suppose d - 3*t - 1500 = a, -4*d = t - 14799. Round d to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h. Let j(o) = 14256*o**2. Calculate z(j(b)).\nAnswer: -14256*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w\/((w**(-22)*w)\/w*w*w)*w**33*(w**(-41)*w)**(-25\/3) assuming w is positive.\nAnswer: w**(1165\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26802920747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y + 135 - 111 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*b**3 + 10*b**3 - 55*b**3 + (-2*b**2 + 5*b**2 - 2*b**2)*(3*b - 4*b + 2*b) - 5*b**3 - 194*b**2 + 194*b**2.\nAnswer: -57*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7081639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (39 + 0 + 4)\/1. Let a be (44 + -1)*(-5 + 4). Let m = a + r. Which is bigger: m or 3\/13?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 3*h**2 - 2*h + 3. Let s be c(-4). Let a(b) = -b - 30. Let t be a(-29). Which is greater: s or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433 a factor of 33930779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**3 + 12471*c**2 + 186840*c = 0.\nAnswer: -12456, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*(-8 + 5 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z**2 - 2*z)*(0 - 4*z - 1 + 16*z) + (z**2 - z**2 + z**2)*(2*z - 5*z + z).\nAnswer: -26*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 4*u**2 - u**2)*(28 - 259 - 159).\nAnswer: -390*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10114144 - 43004?\nAnswer: -10201152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/(-6) + 1\/1. Let n = -1\/1094 - -2191\/3282. Which is the closest to x? (a) -2\/13 (b) n (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 17*q + 18*q + 5)*(458*q - 458*q + 111*q**3).\nAnswer: 111*q**4 + 666*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -179*l**2 + 3*l - 5. Let p(o) = -45*o**2 + o + 2. Let f(i) = 4*p(i) - z(i). Let k(r) = -r**2 + r + 9. Give -5*f(h) + 7*k(h).\nAnswer: -2*h**2 + 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -44137 divided by -2323?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 5) + -9 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1575*w + 13923 = -1933*w - 29753 for w.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4845857838?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 2*u**3 - 199*u + 2*u**4 - u**3 - 2*u**2 + 201*u to the form t*u**2 + d + g*u**4 + i*u + z*u**3 and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 - 24. Let r be 6\/t + 128\/(-252). Let p = -3 - -4. What is the nearest to p in 3\/4, 0.3, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuj. Give prob of sequence zju.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 83484 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 23 (c) -1259\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 16*g + 133. Sort -4, -30, g, 3.\nAnswer: -30, g, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(495\/(-10)) - 22\/2574?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 2*n - 1 = 0. Suppose 2*k = 5 - n. Calculate the common denominator of -33\/10 and 93\/k + -6 + 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-1)*l*l*l*l**7)**(5\/7)*(l\/((l*l**(1\/6)*l)\/l)*(l\/l**(-1\/5))\/l)**(-34) assuming l is positive.\nAnswer: l**(781\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 182\/(-364)*(-40)\/(-14)*-1*14\/28.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 340443 is divided by 355.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.5 - -6.1. Which is the smallest value? (a) h (b) -1 (c) 6\/11 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, j: 2, a: 1, b: 12, p: 1}. Give prob of picking 1 j and 1 b.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - -0.61. Let f = -20847\/175 - -2816\/25. Let n = 31\/5 + f. Put n, 0, y in ascending order.\nAnswer: n, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 54855 and 704145?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 4*k - 5. Let d be q(-5). Suppose d = 3*s - z - z - 114, 0 = -2*z. Let t be (-1 + s\/10)*35. What is t rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**3\/3 - 86*u**2\/3 + 153*u + 20790 = 0?\nAnswer: -22, 45, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 938277 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15744024?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2. Let k(c) be the second derivative of 0 + 13*c + 0*c**2 + 0*c**3 + 5\/4*c**4. Give b(k(u)).\nAnswer: 225*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 733 (base 16) in base 9?\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 8 = -2*p - 10, 3*p - 3 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 390 divide 5093400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 6872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 1. Let i(x) = -x**2 + 15*x. Let s(j) = -i(j) + 2*y(j). Let z be s(15). Differentiate 3*m**2 - 3*m**2 - 4*m**z - 1 wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjhfhfhhfhj. What is prob of sequence hj?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3225480, 3226407, 3227332, 3228255, 3229176?\nAnswer: 3230095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/18 and 4\/32*610\/(-25).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 6890695781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -317703000 rounded to the nearest one million?\nAnswer: -318000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = -5*m + 8*m + 5*o, 0 = -5*m + 2*o. What is the third derivative of -129*q**2 - 3*q**4 - 6*q - 11*q**6 + 128*q**m + 5*q**4 wrt q?\nAnswer: -1320*q**3 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 - 8. Let n = 0 - -1. Is n at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 286a8 + 9c?\nAnswer: 28777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 6*r**2 - 149*r + 1. Let c be h(25). Solve 23 = j + c for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 83?\nAnswer: -8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*n = -2*t - 79*n + 103, -4*n - 4 = 0. Calculate the remainder when t is divided by ((-1)\/2)\/(1\/(-38)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/42*8925\/510)\/((-22)\/(-16))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3856 and 26028?\nAnswer: 104112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57985, 57979, 57961, 57925, 57865, 57775, 57649?\nAnswer: 57481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, i: 3, j: 3, z: 1, p: 6}. Give prob of picking 3 p and 1 i.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -u**4\/4 - 3*u**3 - u**2\/2 - 6*u + 2. What is the units digit of q(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -33. Let o be (1 - 0\/k)*(3 - 0). Suppose -2*i + w + 169 = 0, o*i - i - 154 = -2*w. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60*((-150)\/(-72))\/(-25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 + 10*m - 4. Let k(r) be the first derivative of r**3 - 15*r**2 + 13*r - 3. Let s(v) = -3*k(v) - 8*q(v). Is 9 a factor of s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35 and -238233842.\nAnswer: -238233807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (sqrt(156) + 6*sqrt(156)*2))\/(sqrt(72)\/(sqrt(6)*1)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-11\/2))\/n)\/n**(-6) assuming n is positive.\nAnswer: n**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -335, -1145, -2727, -5339, -9239, -14685, -21935?\nAnswer: -31247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 + (36\/(-6) + 3)*-3. Solve 9*m + 3 = -k + 4*m, 0 = r*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -3) + -6 + 5 + 12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 - ((-4 - -11) + -8) - (1 - 3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j + 58. Let o be f(16). Suppose -p = p - 5*k + 14, -3*p - o = 3*k. What is the units digit of (11 + p + 19 + 0)*7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26\/7 - 4. Let f be (1 - 133\/80) + 1. Let d = -1\/16 - f. What is the third biggest value in d, 0.3, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 - 38. Let k(c) = -c**2 - 7*c + 11. Let w be k(y). Solve 3*d + w = -0*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1)\/s)**(-1\/3)*s**(-6)\/((s*s**(-7))\/s) assuming s is positive.\nAnswer: s**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31459?\nAnswer: 163, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - 2730*z + 60484. Determine u(23).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -14*h**3 + h**2 - 5. Let w(j) = 13*j**3 - j**2 + 4. Let z(n) = 4*l(n) + 5*w(n). What is z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4446?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -941 divided by 2?\nAnswer: -941\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = m - 4*z, 0 = -0*m + 2*m - 3*z - 171. Is 5 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1 = -7. Let w be (2 - 5 - -1)\/s. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-5*(-4 + sqrt(162) + (sqrt(162) - (((sqrt(162) + 1 - sqrt(162)) + sqrt(162))*2)**2 - sqrt(162)) + -3*sqrt(162)*-1 + sqrt(162))*-2.\nAnswer: -26240 - 1080*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-158)\/8*-3*(-8)\/6. Are -79 and m unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 158055 and 716259?\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -6 - 1\/2*c**2 + 7*c. Let n be k(13). Sort n, -3, -1.\nAnswer: n, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uayu when four letters picked without replacement from yuua?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3591815 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Sort 836, 1, -747 in ascending order.\nAnswer: -747, 1, 836","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 84 = 16*v. Let r be 244\/5 + 3\/15. What is the highest common divisor of r and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 5 = 2*t, p + 0*p = -5*t + 30 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 10:49 AM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/21)\/(147\/(-686))*(-2)\/(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.81 + 32.401. Let p = -0.009 - y. Let v = 5.60000058 + p. Round v to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/8*(0 + 2). Let j = 0.13 + -10.13. Which is greater: j or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24 + -2 + 3\/3. Suppose 3*v + 3*k + 9 = 2*v, 0 = -4*k - 12. Let x = i - v. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**3 + 2*l**2 + l. Let p(u) = -4*u**3 - 5*u**2 - 2*u. Determine 5*o(b) + 3*p(b).\nAnswer: -2*b**3 - 5*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n + 43. Suppose 49*a - 44*a + 60 = 4*f, 0 = -5*a + 5*f - 65. What is p(a)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 133031256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*f**4 - 2*f - 451?\nAnswer: 12*f**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 7*u + 3. Let j be k(7). Which is the smallest value? (a) 2\/3 (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k - 1. Suppose -3*z + 6 = 0, -4*z - 2 + 7 = h. Let p be q(h). Solve -25 = -p*m - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 4*q + q - 4*q + 1. What is the units digit of i(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -209*b**2 + 78*b - 609. Let f be n(-29). Round f to the nearest 10000.\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17 + 8 + 22)*(3*d**3 + 2*d**3 - 4*d**3)*(-86*d - 82*d - 8*d).\nAnswer: -8272*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 467 - 254 + 50 - 536*y**2 - 263.\nAnswer: -536*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 110652 divided by -12?\nAnswer: -9221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836 = -30*h - 31*h - 62*h - 5*c, h + 7*c = -2*h + 2*c - 4 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46760.\nAnswer: 2, 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**7\/42 + 128*x**6\/15 + 163*x**3\/3 - x**2 - x - 3185. Find the second derivative of i(y) wrt y.\nAnswer: 20*y**3 + 3072*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-319)\/22 - -15)*(-128 + 22) + 3 + 1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z**4 + 838*z**3 + 15639620*z**2 + 5212552*z - 10426224 = 0 for z.\nAnswer: -1546, -1, 2\/3, 1686","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 12*i - 10. Let m(p) = p**2 + p - 2. Let c(s) = -s**2 - 3*s - 3. Let n be c(0). Let x be m(n). What is the remainder when h(x) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: -261262774.534 - 0.03\nAnswer: -261262774.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 3*f = 17, -f = -2*r + 3*f + 24. What is the least common multiple of 84 and r?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*y - 11, -3*y + 8 + 1 = 0. Calculate the highest common divisor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*b**2 - 54*b**2 - 29*b**2 + 49*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.4, 1, 0.101?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a*h**2*o**3 + 2054*a*h**2*o**2 + 2*a*h*o**2 + 28*a*o + 11*h*o - o**3 wrt h.\nAnswer: 4*a*o**3 + 4108*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100947 and 1518.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 6*x**2 + x + 4. Let p be g(6). What is the fourth smallest value in -0.3, -2\/5, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of 3*f**4 - 17*f**3\/3 + 26. Find the third derivative of k(t) wrt t.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*t + 198464 = 197078 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, a: 1}. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588120 is divided by 120?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 55762, 446103, 1505650, 3569023, 6970842, 12045727?\n\"Answer: 55770*r**3 - 17*r**2 + 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 233 (base 4) to base 8.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 475 and 2665928.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o. Suppose -5*l + 8 = z, l = -0*l + 5*z - 14. Let y be 2\/l*14\/4. Let u(s) = -3*s**2 - 5*s**2 + y*s**2. What is u(a(c))?\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16\/981 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x - 3*x - 3*x)*(-3 - x**3 + 3) + (-x + x - 4*x)*(-2 + 2 + 2)*(x + 0*x + x)*(-140*x**2 + 265*x**2 - 210*x**2).\nAnswer: 1362*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -2, -3 in decreasing order.\nAnswer: -2, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 74. Suppose g*y = 5*t + 5, 3 = 3*y - 0*y - 3*t. Solve y = b - 9 + 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1938527806?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*n)*(4*n + 0*n - n)*(-3*n**3 + 5*n**3 + 2*n**3).\nAnswer: -24*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*s = 245*s + 3200. What is the greatest common factor of 896 and s?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 - (13 + 231\/(-11) + 11).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + (-770)\/(4 + -9). Let g(b) = -b**2 - 2*b - 6. Let w be g(-6). Let u = 47 + w. What is the highest common divisor of x and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + 2. Let p = t + 0.5. Suppose 7 = -8*w - 1. Sort 0.1, w, p in ascending order.\nAnswer: w, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*i - 10 = i, -o = -2*i - 2. Let u = -0.072 + -0.028. Which is the third biggest value? (a) -2 (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/45)\/(2\/(-3)). Which is the closest to h? (a) -0.5 (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61306?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15 - -11. Let a(s) be the second derivative of 2\/3*s**3 - 3*s + 1\/12*s**4 - 1\/2*s**2 + 0. Calculate a(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 137493 and 198.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w + 3*a - 6, w + 4*a - 5*a = 4 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0.1, -6.287, -5 in increasing order.\nAnswer: -6.287, -5, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*w = -3*z + 33, 4*z - 5*w = -33. Let l(a) = -a**3 - 12*a**2 - 3. Let b be l(z). Let o(h) = -h + 4. Let p(v) = v - 4. Calculate b*o(q) - 2*p(q).\nAnswer: q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.898326 kilograms in nanograms?\nAnswer: 7898326000000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*c + 2 = 5, -9 = -2*u + c. Let p be (3\/4)\/((-1)\/(-4)). Suppose p*f = 4*f - 3. Solve f*l - 2*j - u = -2, -3*l = -j + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 3*w - 3*w)*(2 - 2 + 2) - 17*w + 18*w - 41*w.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -7*u**2 - 7 + 13*u**2 + 8*u**2 + u - 3*u. Is y(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/188 and -26\/399?\nAnswer: 75012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(190) + sqrt(190)*2 - sqrt(190))\/sqrt(10))**2 + 0 + sqrt(2299) + 4 + -1).\nAnswer: -474 - 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 96 = 6*k. Let w be -2 + (k\/(-19) - (-2 + 0)). Which is greater: w or -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-9)*99\/110.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of -1\/60*b**5 + 0 + 13\/24*b**4 + 0*b + 101\/120*b**6 + 0*b**3 - 118*b**2. Find the third derivative of k(y) wrt y.\nAnswer: 606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -431451 times 0.6\nAnswer: -258870.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(2\/9)\/(c**(2\/25)*c)**(2\/49) assuming c is positive.\nAnswer: c**(-2197\/22050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -32344133530?\nAnswer: -32344133535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 3) + 15 + -5 - (6 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/(-1 - -2))\/2. Solve 5*b - 2*b = f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5*b = 0, -3*m = -4*b + b. Suppose m*z - 48 = 4*z. What is the units digit of (-8)\/z*21\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 151523186 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -207188572.28 and 7.92.\nAnswer: -207188564.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + ((-288)\/(-8))\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20898)\/81)\/86*10\/(-1)*2\/(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/13 (b) 4 (c) 0.5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36288 and 7938.\nAnswer: 254016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-1)\/3*-1. Let k be (-2 - -2)\/((-1)\/(-1)). Sort r, k, -4 in decreasing order.\nAnswer: k, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.183 - -0.183. Put 1\/2, -0.09, t in ascending order.\nAnswer: t, -0.09, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 279534068?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*m - 214*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4*-62 - 1\/(-6)*0. Suppose -p - 3*j - 160 = 0, 408 = -2*p + 4*j + 128. Let b = p - d. Is 25 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -305.807 - -306. Let h = -0.323 + i. What is the third biggest value in h, -1\/4, -4\/5, -4?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 734 - 74. What is the highest common divisor of r and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -120*k + 560*k - 170*k - 150*k - 182*k.\nAnswer: -62*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1130.24 and 12342.\nAnswer: 13949422.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.008 and -3709905235901.\nAnswer: -3709905235901.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 160, 172, 194, 232, 292, 380, 502?\nAnswer: 664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (33\/(-22))\/((-6)\/2499992) - -2. Round z to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47734.8873 rounded to 0 dps?\nAnswer: 47735","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 + y - y + (-18*y + 6*y**2 + 18*y)*(y + 3*y - 6*y).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 8*t + 9. Let m be s(-9). Suppose m = 5*h - 271 - 254. Is (-8)\/(-6)*-3 + h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 510*n + 13493. What is c(-482)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1036 (base 15) in base 10?\nAnswer: 3426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, 126, 155, 166, 153?\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**3 - 1095*u**2 + 2654*u wrt u?\nAnswer: 18*u - 2190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -57. Which is the nearest to 1? (a) -1 (b) o (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1393, 2747, 4103, 5455, 6797?\nAnswer: 8123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456818 is divided by 25?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198443, -794463, -1787829, -3178541, -4966599, -7152003?\nAnswer: -9734753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/9 (b) 0.2 (c) -3 (d) -46\/9 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8208110.814 rounded to the nearest one hundred?\nAnswer: 8208100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 356*r**2 + 499 wrt r.\nAnswer: 712*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 4*n**3 + 8*n**2 - 12*n = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.3 - -3.6. Let k = -151\/1155 - 2\/165. Which is the third biggest value? (a) -0.15 (b) v (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r**2 + 2*r. Let h(t) = t**2 - t. Let j = -14 + 16. Suppose 6 = j*c - 2. What is c*h(w) + x(w)?\nAnswer: w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8.3011 and 61.4365?\nAnswer: 53.1354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3825\/(-1020) - 6\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 + 0.04. Let m = t - -1.92. Let q = -68.3 - -68. What is the nearest to m in q, 3, 1\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10909, 10911, 10913, 10915, 10917, 10919?\nAnswer: 10921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 150 = -39*w. Let z be w\/6 - (5 - 70\/15). Let f(p) = -3*p**2 + 3*p + 6. Let a(g) = -g**2 + 2*g + 3. Let x(o) = -5*a(o) + 2*f(o). Give x(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-21)\/(16 - 23))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-472)\/(-20) + 3\/(-5). Suppose -4*v = y - 7. Let i be (0 + v)\/((-6)\/(-27)). Round i to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10576561 and 2146.\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 311 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: Let r be -3 - (8*-1 + 2). Solve 3 = -4*l + r*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -2941 (b) -0.26 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) -49 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.8 - 3.721. Let n = d - 0.043. Let f = 5.036 - n. Sort 0, f, -2\/11 in ascending order.\nAnswer: -2\/11, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2674 - 2670. Let m be -7*1\/(-4)*4. Let x(r) = 1 + m*r - 8*r + w*r. Determine x(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 486403*2\nAnswer: 972806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/19266 and 69\/2922010.\nAnswer: 8766030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-22) + (-36)\/396\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06 and -13.34.\nAnswer: -0.8004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 442\/17612*(-140)\/(-455)\nAnswer: 2\/259","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*r - 8 = 0, -4*c = -8*c - 5*r - 14. Let b be (-4 - c) + (-18)\/(-3). Suppose -b*q - 14 - 4 = 0. Which is greater: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 1232*c - 1 - 4 + 472*c**2.\nAnswer: 472*c**2 - 1232*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeae when four letters picked without replacement from aeeeaeeaaeeaaa?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2851190 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6 + 1 + 2 + 2*s. What is the units digit of w(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12650 - -126563\/10. What is the common denominator of q and 0 + (-2)\/(-480)*61?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262117 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: Is 12 a factor of 414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u**3 - u**3 + 4*u**3 - 5*u)*(0*u - 2*u + 0*u) as w*u + r*u**3 + g*u**2 + b*u**4 + x and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -808*u + 268*u + 265*u + 272*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (1 - 6) + -4 + (0 - -12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -60, -245, -554, -987?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 339b4a2?\nAnswer: 339b4a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**5\/300 - 43*s**4\/60 - s**2 + 159*s. Determine x, given that i(x) = 0.\nAnswer: -86, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 3 (c) 3\/5 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 173 = 33*k, 18*k + v = 14*k - 24 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 197.4794um?\nAnswer: 197479.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 201285*q - 9865366 = 0. What is q?\nAnswer: -49, 201334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/14*5 - (-2)\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 538*p**3 - 2*p**2 + 8*p + 11. Calculate y(-1).\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and (64 - -10) + (-56)\/7 + 5.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61554 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 16 + 26. Let t = -2858 + 2864. What is the remainder when t is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 4*d. Let c be g(-2). Let f = -13 - -33. Let h = f + c. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 PM and 3:53 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 2, 20 in increasing order.\nAnswer: 2, 3, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 18*v + 8. Let m be -2 - 0 - (-18)\/(1 - -2). Suppose -4*q = -b - 2*b - 10, -m = -q. Calculate the least common multiple of 22 and y(b).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 288272 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11162819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-36)\/(-42)*28\/8. Suppose 46*p - 34*p = 84. Solve 4*a - 8 = 0, p*a + 3 = -d*h + 4*a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 104?\nAnswer: 9\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5061)\/(-105) + ((-2)\/6)\/(24\/(-36)). Is l less than 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -9224?\nAnswer: -9224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*c + 1656 = -64*c. Let t(g) = -6*g**2 - 5*g - 11. Let a(i) = 7*i**2 + 4*i + 11. Let f(p) = 5*a(p) + 6*t(p). Determine f(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i + 31. Let l be m(-14). Suppose -147*d = -l*d - 88. Suppose -2*n + 7*n - 50 = 0. What is the least common multiple of d and n?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9283 or -9275?\nAnswer: -9275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -3, -3846, -4 in increasing order.\nAnswer: -3846, -4, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -64 + (0 - 0). Let g = 9 - n. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1 + sqrt(833) - sqrt(833)) + -2*-2*sqrt(833))**2.\nAnswer: 224*sqrt(17) + 13344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 4152\nAnswer: -1\/1384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 227660437\/852 - 267207. Find the common denominator of 53\/1065 and n.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 100, 149, 198, 247?\nAnswer: 296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2683772820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1348 - 529. Suppose 0*v = 9*v - k. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 175 + -175. Suppose -s - 21 = -2*s + 4*d, -3*s + 2*d + 43 = c. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -67*s - 2. Let i(q) = 60*q + 5. Let o(l) = 5*f(l) + 6*i(l). Let w(n) = n. What is w(o(y))?\nAnswer: 25*y + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*a - 22*a**2 - 8 - 6*a + 8 to the form r + h*a + o*a**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -2101233021?\nAnswer: 2101233030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518979600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, p: 3, f: 1, z: 1, y: 1}. Give prob of picking 1 f and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 83?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 386492 is divided by 459?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -17873378 divided by -262?\nAnswer: 68219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1927174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 7*b - 5*b**2)*(5263 + 113*b - 5263).\nAnswer: -565*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z + 15. Let h(g) = 2*g - 7. Let w(o) = 7*h(o) + 3*v(o). Let d be w(-5). Let i = -5 - -8. Put i, -3, d in ascending order.\nAnswer: -3, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 323*g**2 - 8*g - 3. What are the prime factors of m(-2)?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 392.44 + -412. Let n = i + 3.56. Let j = 9.6 + -10. What is the second smallest value in 0, j, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 22 = -y - 4*p, y + p = 22. Let q = y - 22. Suppose -i - i = q. Put i, 4, 1 in decreasing order.\nAnswer: 4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -9. Let p(j) = 14*j - 8. Let z be p(4). Let r be (-8)\/(-3)*72\/z. Solve a - b = l, 0 = -r*a - b - 4*b - 24 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**6\/864 + i**5\/360 - i**4\/288 - 14*i**3\/3 - i**2\/2 + 1. Let q(d) be the third derivative of p(d). What is u in q(u) = 0?\nAnswer: -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 7*7*12\/126?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 182 and 226460?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2119, -2064, -2005, -1936, -1851, -1744, -1609, -1440?\nAnswer: -1231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -4722721?\nAnswer: -4722720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12941, 12936, 12911, 12854, 12753, 12596, 12371, 12066?\n\"Answer: -2*g**3 + 2*g**2 + 3*g + 12938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - 2*x + 2. Suppose -2*z = 2*z - 36. Suppose z = 3*c + 3. Calculate o(c).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 67*x - 10. Calculate s(-1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2\/6 + 71*b\/6 - 35\/3 = 0.\nAnswer: 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**2\/4 - 8670*f + 104013\/4 = 0.\nAnswer: 3, 11557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 31, 116, 355, 826, 1607, 2776, 4411?\n\"Answer: 13*l**3 - l**2 - 3*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1, 14, 47, 104, 191?\n\"Answer: d**3 + 3*d**2 - d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -28, -5\/3, 1\/8, 88, 2, 1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -2. Let l be (-1)\/(((-3)\/y)\/(-1)). Let b be ((-90)\/20)\/(l\/(-16)*-2). Which is greater: b or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 2 + 3)*(68 - 68 - 15*b**2) + (b - 3*b + 4*b)*(4*b + 0*b - 2*b) to v*b + y + u*b**2 and give u.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1abd (base 15) to base 10.\nAnswer: -5803","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32005965 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -3*f**5\/20 + 3*f**4\/4 + f**3\/2 - 9*f**2\/2 + 19*f. Solve d(c) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7161 - 7160.5. Let f = 17 - 48. Let t = 58 + f. Which is the smallest value? (a) -0.4 (b) g (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 30*n**3 + n**2 - 4*n + 3. List the prime factors of m(2).\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of l**2\/2 - 5*l - 45. Suppose 2*k - 2*m - 20 = k, 5*m + 57 = 3*k. What is the units digit of c(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrrprr. Give prob of sequence pr.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3399838?\nAnswer: 2, 13, 43, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -64.6\nAnswer: -64.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.511 - -0.229. Let r = p - -2.26. Sort -0.3, r, -1\/3 in increasing order.\nAnswer: -1\/3, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 122 - (-3 + 2 + 1). Suppose 2*f = -2*x - 2*f - r, -4*x = 3*f + 264. Let j = 8 - x. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(sqrt(275) - (1 + sqrt(275) - sqrt(275))) + (sqrt(275) - (2*(sqrt(275) + 1) - sqrt(275))))**2.\nAnswer: -39856 + 1920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 122289*o + 122285*o - 15 = 0, -5*o = 2*c + 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.03 * 4177854\nAnswer: -125335.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-3*sqrt(288) + sqrt(288) - sqrt(288)) + sqrt(2)).\nAnswer: 210*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9183235 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4835*a = 4829*a + 288. What is the lowest common multiple of a and 88?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012133599 is divided by 2521.\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/14)\/1 + 128\/56. What is the first derivative of 0*a**2 + 2*a**r + 4 + 7*a**2 + 4*a**2 wrt a?\nAnswer: 26*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -77\/2 (b) 6 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 66*x - 18 - 123*x + 67*x + (-2 + 1 + 2)*(4*x - 2*x + 0*x).\nAnswer: 12*x - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**2*g**2 - 2127*c**2*g + c*g**2 + c + 123*g**2 wrt c.\nAnswer: -4*g**2 - 4254*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2407096729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 - 13. Suppose b = 4*b - f. Suppose -3*g = g + 4, -b*g - 23 = -3*d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-15)*(-35)\/(-14). Find the first derivative of 14*q**2 - 6*q**3 - 9*q**j + 13 - 5*q**2 wrt q.\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 226*b**2 + 444*b**2 + 39*b**3 - 218*b**2 - 135*b**3 + 102*b**3.\nAnswer: 6*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from rryyyyyyyyy?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 77117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 19. Suppose x - o*c = -2*x - 19, c = -4*x - 10. Let i(v) = -4*v + 1. Give i(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - ((2*sqrt(76) + sqrt(76))*-4 + sqrt(76)))\/sqrt(4).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-3)\/54)\/(1\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2634, 9464, 20738, 36462, 56642, 81284, 110394, 143978?\n\"Answer: v**3 + 2216*v**2 + 175*v + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19201226 * -5.\nAnswer: -96006130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1202646.\nAnswer: -5\/1202646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgttktkgtttmwgtkg. What is prob of picking 1 m and 1 k?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48.0569 kilograms to grams.\nAnswer: 48056.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1837766*y**2 - 1837766*y**2 + 4*y**3 + 3*y**3 - y**3 - 33*y + 33*y.\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 - f - 126. Let l(p) = -4*p**2 + 57*p - 29. Let c be l(14). Calculate the remainder when h(c) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by (410\/20 + -20)\/((-2)\/(-500)*1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2318 and 0.0546.\nAnswer: -126.5628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-4)*(-12)\/(-36). Let w = 3778\/21 - 180. Which is the nearest to p? (a) -5 (b) -1\/6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -4*h - 3*s - 113, 135 = 5*h - 5*s. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17491 or 0?\nAnswer: 17491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (580\/1450)\/((8\/290)\/(-2))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 + 0.27. Let x = 6 + -33. Let h be -3 + x\/(-6) + -1. What is the closest to 0.1 in q, h, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n + 24. Let b be t(7). What is the units digit of (-1)\/b*4 - -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*y**2 - 2501 - 198 - 3*y**2)*(0 - 3 + 0 + (-1 - 3 + 5)*(0 - 2 + 0))*(-2 + 4 - 4) as b*y + z*y**2 + m and give z.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 2\/15 (c) 0.43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 700392.\nAnswer: 700392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57160.27622 + -1.45.\nAnswer: -57161.72622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k = 12*k + 90. What is the smallest common multiple of 10 and k?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4112945 and 23855081?\nAnswer: 119275405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 + 100 = 2*t. Find the second derivative of -74*r**5 + t*r + 52*r**5 - 117*r**5 - 47 wrt r.\nAnswer: -2780*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 196188692 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 23*n + 7. Let h be ((-161)\/7)\/(1 - 2). Let w be v(h). Solve 2*q = w*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -16*l**2 - 399*l + 16. Give c(-25).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 3*y. Let h be (4\/(-2))\/(-2) - -7 - 4. What is v(h)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -8, -2, -6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 98 = -2*w, -k = 4*w - 3*k - 214. Suppose -w = -2*s - 2*s. Solve -4*h + 5*a = 21, -2*h + a = h + s for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 1408*z - 1409*z + 11, z = -v + 7 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2398 (b) -2 (c) -1\/6 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -1\/30*t**5 - 4\/9*t**3 - 14*t**2 - 1\/360*t**6 + 0*t + 0 - 1\/6*t**4. Factor a(l).\nAnswer: -(l + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + s**3 - 3*s**3 - 3*s**3 - 2*s**3 + 6*s**3 + (s - 2*s - s)*(-6*s + 6*s + s**2))*(-2*s - 1 + 1).\nAnswer: 14*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5707 and 533.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -3 - (-1 + -7) - 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1851 * 3.\nAnswer: 5553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**5\/3 - 310*b**4\/3 - 6008*b**3\/3 + 27688*b**2\/3 - 9632*b = 0. What is b?\nAnswer: -21, 0, 2, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002432 rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 + 16)*-6*(-1)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 3*w + 5*q - q, -2*q = 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 4*c + 21*c - 4*c. Suppose x - 7 = -26*a + 30*a, 8*a + 36 = 4*x. What is the remainder when b(1) is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 22, 44, 68, 94, 122, 152, 184?\n\"Answer: f**2 + 19*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*a**3 - 14*a**2 - 6720*a - 6971066 wrt a?\nAnswer: -15*a**2 - 28*a - 6720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 4*z - 2*z + 218, -5*t = -2*z - 211. Let k = z - -205. Let v = -58 + k. Calculate the remainder when v is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -15, 4, 2, -79?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/1558?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 440237 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01632269 rounded to three dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*5\/(30\/9)*-3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 57.\nAnswer: 56.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 256, 518, 782, 1048, 1316, 1586, 1858?\n\"Answer: z**2 + 259*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46.58 + -47. Let x = -25.42 - i. Let a = x - -22.4. Round a to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.15 - -1.15. What is the closest to 1 in -4, 0.36, r?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3883362 (base 11) to base 2\nAnswer: -11001101001110000100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 - (-3 + 3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m + 3. Let v be c(-9). Let j be (v\/32)\/(6\/(-16)). Let n be 5\/(1 + j - 2). Solve 0 = 2*r + n - 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26155.9953 - -26136. Let y = z - -20. Round y to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) -3 (c) 1\/2 (d) -1 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-14)*i*i)\/(i\/(i\/(i\/(i\/((i\/i**(-22\/3))\/i)*i)))))\/(i**(-6\/11)\/(i*i**(29\/4)*i)))**(4\/31) assuming i is positive.\nAnswer: i**(-1127\/1023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/3 smaller than 4148.35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a meter in centimeters?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -17, 18, -3, 141, 2 in ascending order.\nAnswer: -17, -3, 2, 3, 18, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/34)\/(((-2)\/(-12))\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**2 - 11*c**2 - 384*c + 384*c to b + h*c**2 + s*c and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d**3 - 2*d**2 + d + 1. Let b(q) = 4*q**3 + q**2 - 5*q - 1. Calculate -2*b(u) - 3*f(u).\nAnswer: u**3 + 4*u**2 + 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jajaa. Give prob of picking 2 a and 2 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3583116 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-53)\/((-6360)\/(-80)))\/(6\/846).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (3 + -6)) + 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**5\/20 - f**4\/12 + 3*f**2\/2 - 7*f. Let c be i(0). Sort 16, -4, c.\nAnswer: -4, c, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (144\/(-14))\/(6\/(-28)). Suppose -1 = -q - 3. Let x be 10 + 4\/(q\/(-1)). Calculate the greatest common factor of x and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 19*m - 60. Let c be i(-4). Suppose c = 7*b + 8*b - 45. Solve b = j - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1158, -1157, -1156, -1155, -1154, -1153?\nAnswer: -1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -6. Let n = 2325 + -2327. Let f = -0.7 + 1. Which is the nearest to f? (a) n (b) h (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0. Suppose 2 = -j + x, -3*j - 3*x + 26 = 2*x. Let m = 51 - 661\/13. Which is the closest to l? (a) m (b) j (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4 - 2 = 0, 0 = -3*o - 2*v + 26. Let m(q) = 2*q**2 - 7*q + 11. Is m(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(42)\/sqrt(3))\/(-2*sqrt(112)) + 1)**2 + 2.\nAnswer: 3*sqrt(2)\/2 + 33\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-28))\/(130\/(-312)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2254 (base 10) to base 2.\nAnswer: -100011001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 + -1 - ((-445689)\/(-187))\/(-27). Which is bigger: r or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44)\/(-3))\/(19\/114). Suppose 3*w - 69 = -j, 3*j + 19 = 3*w - 38. Calculate the highest common divisor of w and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4372, -35179, -118788, -281599, -550012, -950427, -1509244?\nAnswer: -2252863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-144)\/(-15) + 4\/10. Suppose -92*f = -91*f - 4. What is the greatest common factor of r and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212111213 (base 4) in base 5?\nAnswer: 101403200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22140 = 62*r - 25*r + 86*r. What is the remainder when 668 is divided by r?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 215014 - -0.082067.\nAnswer: 215014.082067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1148 and 232?\nAnswer: 66584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -23*h**3 + h**2 - 24*h - 24. Let v = 282 - 283. Calculate the remainder when l(v) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2683 at least -2682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 + 12628*b + 50433. Determine t(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-32)\/(-176) - 74\/44\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.06 - 3.06. Let h = 1250\/33 + -820\/11. Let s = h + 37. Sort d, 5, s in descending order.\nAnswer: 5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssonnisss. What is prob of sequence ssso?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 + 10*p + 21)*(0 + 0 - 2)*(-16 - 4*p**4 + 16).\nAnswer: 80*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 3 + 5 - 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*1*1. Let o = 1.8 - 2. Let f be (-4)\/(36\/21) - -1. What is the nearest to i in -0.4, o, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*l - 358 = 0, 3*n - 22 = -5*l - 425. Let u = -108 - n. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34739, -69421, -104091, -138743, -173371, -207969?\nAnswer: -242531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*48\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -4, 25, -3 in descending order.\nAnswer: 25, -0.3, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9987084.\nAnswer: 2, 3, 19, 31, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.18 + -0.18. Which is the second smallest value? (a) -0.8 (b) m (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-15) + (1 - (-232)\/(-360))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -102*t**2\/7 - 16986*t - 83880\/7 = 0.\nAnswer: -1165, -12\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/3 + 356\/6. What is the lowest common multiple of a\/(-3)*1\/(-2) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 + 1484 = -5*n. Let d = n + 373. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 20, -x + i - 23 = -4*x. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + 0. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6*d + 504 = 0. Let g = 56 - d. Solve g*f - 15 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15*14\/560)\/(3\/(-24)*-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29823935 divided by -11.\nAnswer: -29823935\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*i + 12. Let w(g) be the first derivative of -g**4\/24 - 5*g**3\/6 - 3*g**2\/2 + g - 36. Let h(v) be the second derivative of w(v). Give h(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f + 1. Let t be g(1). Solve -t*k**2 - 7*k - 8 - k + k**2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o**2 + 217*o - 189*o**3 - 139*o - 1049 - 79*o with respect to o.\nAnswer: -567*o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -178, -378, -718, -1246, -2010?\nAnswer: -3058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9)\/2)\/((-6)\/16). Let w = 27 - y. What is the highest common divisor of 105 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 1\/5, 3\/5 in decreasing order.\nAnswer: 3\/5, 1\/5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 51303835 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1+36048\nAnswer: 36047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ptph. Give prob of sequence hptp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/255, -4, 1082 in decreasing order.\nAnswer: 1082, 2\/255, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1916679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1328 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or -7575823?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 18*n**2 + 23*n - 76. Let d be w(19). Let p be ((-2)\/(-5))\/(d - 12\/(-20)). Factor -2\/3*z**4 - p + 4\/3*z**2 + 0*z**3 + 0*z.\nAnswer: -2*(z - 1)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**5\/z**2)**10)**29 assuming z is positive.\nAnswer: z**870","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -17.\nAnswer: -17, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v\/(v**7*v*v))\/(v**(-4)\/v)*v*v**3*v\/((v\/(v\/(v*v*v*(v\/v**(-6))\/v*v*v))*v)\/v*v) assuming v is positive.\nAnswer: v**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 660 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*p - 53*p + 22*p.\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -580 divided by -4?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.076 and 6941.\nAnswer: 6940.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 263981, 528048, 792113, 1056176?\n\"Answer: -u**2 + 264070*u - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -7*z**5\/15 + z**4\/24 - z**3\/6 - 3*z**2 - 446*z - 1. Let x(d) = 29*d**2 - d + 1. What is 3*q(p) + 4*x(p)?\nAnswer: 32*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 267988000 rounded to the nearest one million?\nAnswer: 268000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16902 - 16903. What is the smallest value in n, 2, 23, 0.2, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11799788 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -23 (c) -0.15 (d) 3\/5381 (e) 1 (f) 4\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3*i = 3*h + 216, 0 = -5*h - i - 360. Sort 3, -0.01, h in increasing order.\nAnswer: h, -0.01, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/16 + -2)\/(89\/178))\/(2\/(-60)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6253 - -2.3747. What is the nearest to -7 in 4, -2\/3, 6, x?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 8, o: 5}. Give prob of picking 3 f.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 3 + 5)*(1 - 1 - b) + 2*b - b + 0*b.\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 42*k - 147.\nAnswer: -3*(k + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*x - 2*x - x)*(3 - 3 - 1)*(11133 + 10347 - 20111)*(1 + 2 - 6) to g + t*x and give t.\nAnswer: -4107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -100010011 (base 2) to base 4\nAnswer: -10103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-28)*l**20 assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 88\/10*(5\/6 + 1). Let w = 84\/5 - q. Is w at least -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 349674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 - 31 = m - 2*a, -5*m = -5*a - 375. Suppose 91 = 6*y - m. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 95 - 10. Let d(f) = 7*f - t*f**2 + 20*f**2 - 15*f. Calculate d(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7682, 7681, 7680, 7679?\nAnswer: 7678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -91*r*w**2 - 2*r*w + 7*r - w**3 + 5*w**2 - 1760 wrt w?\nAnswer: -182*r*w - 2*r - 3*w**2 + 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -21*v. Let s(d) = d**2 + 53587. What is s(i(k))?\nAnswer: 441*k**2 + 53587","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.78054 kilometers in centimeters?\nAnswer: 3078054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gll when three letters picked without replacement from gggggggglllgggg?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of -x**4\/4 - x. Let r(t) = t**2 - 5*t - 4. Let v be r(6). Let h(c) = -13*c + 13*c + c**v. Determine i(h(o)).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of v**7\/945 - v**6\/540 - v**5\/135 - 9*v**2\/2 - 8. Let t(n) be the second derivative of w(n). Let t(s) = 0. What is s?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/1092 and -23\/30576.\nAnswer: 30576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3044278, -5 in descending order.\nAnswer: -5, -16, -3044278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.028710172 to 5 dps.\nAnswer: -0.02871","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 13302011?\nAnswer: 13302020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, b: 2, m: 11, j: 3, d: 1}. What is prob of picking 1 b and 2 n?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1346 - 1343. Which is the nearest to -0.1? (a) 0.05 (b) x (c) 2\/9 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ysynynnnnsnsn. Give prob of picking 3 s.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j**3 - 7*j**2 + 24*j - 11. What is the hundreds digit of b(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 4:26 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -74799\nAnswer: 2\/24933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -439, -377, -315, -253, -191, -129?\n\"Answer: 62*r - 501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 18e + 1085?\nAnswer: 1213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of 1\/10*i**5 + 81\/2*i + 46 + 3\/2*i**4 + 27*i**2 + 9*i**3. Factor q(o).\nAnswer: (o + 3)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57922590?\nAnswer: 2, 3, 5, 11, 175523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(13) + 0) + sqrt(143)\/(-2*sqrt(11)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(468)*-1.\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 131891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5095 - -25476\/5. What is the second biggest value in -1.8, 4\/3, 0.5, g, 2?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y - 17*n + 374, 1944*n = 1939*n + 110 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/6 and 37\/(-20) - 2 - (-2)\/(-1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3989837, -3989833, -3989829?\nAnswer: -3989825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -10. Let p = -0.036 + -1.964. Which is the third smallest value? (a) -2\/9 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-5 - -1 - -3 - -7). Suppose -7 - t = -5*p. Solve -d + 0 = -p for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 14*o + 74. Let w be g(-9). Suppose -5*r + w - 14 = 0. Solve -2*f + r = 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 15*c**2 + 3*c - 3. Let x = -9 - -13. Let b(t) = -2*t**3 - 29*t**2 - 6*t + 6. Let h(v) = x*b(v) + 7*k(v). Does 18 divide h(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 121873.364968 + -121871. Let f = 2.325 - c. Let u = 0.04 + f. What is u rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 173 by -4.\nAnswer: -173\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -4*u**2 - 7*u - 4. Let c be y(-5). Find the common denominator of (-3)\/(-6) - c\/20 and (3\/(-36))\/((-8)\/(-474)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + (4*(sqrt(1088) + 0))**2 - (3 + (-2 + sqrt(1088))*5))*-2.\nAnswer: -174100 + 400*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 357061231 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = -3. Let s = -1972 + 1972.1. Let x = -5 + 0. What is the nearest to s in x, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(96\/18*-1)*10.\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, c: 1, j: 3, v: 4}. Give prob of sequence wcj.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9 + 0.5. Let u be -3 - 0 - ((-140)\/75 - 1). Let n = 18.5 - 19. What is the second biggest value in u, n, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1762 + -1764. What is the closest to -0.1 in -1, 5, -7, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + -1)*2\/(-2). Let s = v - 0. Suppose 3*i - 33 + s = 0. Calculate the remainder when 34 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3975691?\nAnswer: 937, 4243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -5*r. Let f = -4 + 6. Let m(x) = x + 1. Let n(z) be the second derivative of -4*z**3\/3 - 7*z**2\/2 + 2*z. Let o(g) = f*n(g) + 14*m(g). Give y(o(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - o = -20, 29*w - 4*o = 32*w + 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 451 + -243. Let d = 283 - l. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(-z**3 - z**3 + 4*z**3).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2 = -2*p. Let x be (p - (-1 - 0))*-1. Suppose 2*i - 3*h - x = 6*i, -3*h + 1 = 2*i. Let b(s) = -3*s**2 + 2*s + 1. Determine b(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 628440966*r**4 - 2*r**2 - 189*r + 217165.\nAnswer: 15082583184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 163959.\nAnswer: 1147713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 11*r - 4. Let q be k(-11). Let n be (-3)\/9*(-6)\/q*-1. What is j in 0 + n*j**3 + 1\/2*j**2 + 1\/6*j**4 + 1\/6*j = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -78*i - 39. What is the tens digit of g(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1116102912 divided by -6.\nAnswer: 186017152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332301 (base 4) to base 2.\nAnswer: 11111110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3\/4 - 4181296*u**2 - 16725187*u - 16725188 = 0.\nAnswer: -2, 16725188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 285476339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(117) + -4) + 4)*5)**2.\nAnswer: -12000*sqrt(13) + 79525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 7*h**2 - 18*h - 36. Let d = -393 + 402. What is the hundreds digit of g(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 17 - (29 - (-11 + 4))) + -68.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*n**2 - 8*n + 57*n - 21*n**2 + 2*n**3 + 12.\nAnswer: 2*n**3 + 65*n**2 + 49*n + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2898 and 90804.\nAnswer: 272412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 11*o**2 - 32*o + 4. Give s(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (2 + -14 + 12 - 7 - 35)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 167190125?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0965 and 2470.\nAnswer: 238.355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - l. Let k(c) = 15*c**2 + 11*c. Let m(y) = 7*y**2 + 5*y. Let w be 1 + (2 + 3 - 1). Let a(z) = w*m(z) - 3*k(z). Calculate a(x) - 8*q(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -i**4\/14 - 22*i**3\/21 - 19*i**2\/7 - 18*i\/7 + 282. Factor x(h).\nAnswer: -2*(h + 1)**2*(h + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 427737 (base 8) to base 3\nAnswer: 21021121102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:57 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(147) - 2*sqrt(147) - sqrt(147)).\nAnswer: -14*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11 + -50420?\nAnswer: -50405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 525860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2658 and -5\/3?\nAnswer: 2658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 606 divided by -35.\nAnswer: -606\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1004*w**5 + 5584*w**3 - 14100*w**2 + w + 501 wrt w.\nAnswer: -60240*w**2 + 33504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4433 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 8759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:43 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 440\/9 + -49. Let d = 79 + -79.1. Which is the closest to d? (a) r (b) -0.3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 + -a?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -595588, -595587, -595586, -595585, -595584, -595583?\n\"Answer: b - 595589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flhfcfhfccy. What is prob of picking 4 f?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*y**4 - 93*y**3 + 353307*y**2.\nAnswer: -1944*y - 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 4*r**2 + r**2)*((2 + 1 - 1)*(-3*r**2 + 3*r**2 + r**2) + 4*r - r**2 - 4*r - 3*r**2 + r**2 + 0*r**2).\nAnswer: -3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1829934 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-4)\/(28\/7). Let x be p\/(1*3\/10). Let d(j) = j**3 + j**2 + 3*j + 3. Let q(h) = 4*h**3 + 4*h**2 + 10*h + 10. What is x*d(f) - 3*q(f)?\nAnswer: -2*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*i + 274*i + 216 = 0 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, j: 5, v: 2, a: 10, u: 1}. What is prob of picking 2 a?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 b when two letters picked without replacement from {l: 1, f: 1, b: 7, n: 6}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 - 19*h - 70. Let u be y(-5). Let z(m) = -m**2 + 4*m + 10. Determine z(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 3, -2, -4\/7, -2\/75?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0 - (-16 + 27 - (0 - -17))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/(-4))\/((-9)\/(-48)). Suppose 16 = 2*r + a. Let n(l) = -3*l + r*l + 2*l - l. Give n(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2717 - 1888. Let f = o + -492. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5421 is divided by 136.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 4) to base 5\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 121 = 127. Is (2\/4)\/(2\/t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*v - 95*v = -2*d - 12, 4*v - 3*d - 18 = 0. Let t be ((-12)\/(-9))\/(-4)*3. Sort 9, v, t, -2.\nAnswer: -2, t, v, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.15, 4, -0.2, -1183, 2.\nAnswer: -1183, -0.2, -0.15, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -204 (b) -1\/7 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 199029200.\nAnswer: 2, 5, 17, 29269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 18*q**2 - 4. Let g(x) = 3*x - 1862. Determine k(g(s)).\nAnswer: 162*s**2 - 201096*s + 62406788","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 38 = -7*m, 178*m - 89 = -3*i + 194*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + -245?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 1. Let u = 4872 - 4875. Which is the third smallest value? (a) 58 (b) 2 (c) k (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11331456 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2769 (c) -3727 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1552 + -14012\/9. Calculate the common denominator of w and 47\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 33*(-4)\/(-12) - -3. Suppose 16*i - z*i = 150. Suppose 17*o - 12*o = -i. Round o to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 0 + 0*c + 0*c**3 + 122*c**2 + 5\/24*c**4. Let a(k) = -4 - 4*k + 4. Determine a(x(r)).\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78927, -315733, -710411, -1262961, -1973383?\nAnswer: -2841677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 55*m**2 - 159*m + 174. Let n be r(52). Solve d - 15 = -n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 28 = -2*b, -4*b + 63 = 5*z + 10. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abdbz. Give prob of picking 1 z and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*w**3 - 3*w**3 + w**3)*(-4*w + 3*w + 0*w) + 107 + 7*w**4 - 107 as i*w + n*w**2 + g*w**4 + t*w**3 + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + (4 - 8).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21190310, -42380620, -63570930, -84761240?\n\"Answer: -21190310*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(((-624)\/(-8))\/(-13))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnj when three letters picked without replacement from nrjerneecorene?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 347648*r**3 + 1617007*r**2 wrt r?\nAnswer: 2085888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-2))\/((-2565)\/1710). Let r(y) = -3*y**2 + 7*y + 6. Let p(o) = 3*o**2 - 7*o - 5. Calculate c*r(t) + 6*p(t).\nAnswer: 3*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (-13311)\/351 - (-2)\/26.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 18*c - 17. Let i be x(-16). Suppose 6 = 2*l - 0. Solve -i + l = 4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -1. Let k be (6\/p)\/(6\/(-704)). What are the prime factors of k\/24 - (-1)\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gyxxyxxygyyxybyxxb. Give prob of picking 1 g and 1 b.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - u + 2433*u**3 + 18 - 2432*u**3)*(5 + 0 - 4) to the form q*u**2 + o*u**3 + v + n*u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -266 divided by -164\nAnswer: 133\/82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6110580 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -70 (base 10) to base 14.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-3\/5)\/(i\/(i**(-4\/5)\/i))*i\/i**(1\/13)*(i\/(i\/i**(-2\/5))*i)\/i*i*((i\/i**(-2))**(6\/5))**(-9\/10) assuming i is positive.\nAnswer: i**(-1663\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (0 - -3))\/((-9)\/(-324)*-9). Let z = 1 + 1. Let y(p) = -5 + z*p + 0 + 2. What is y(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 2 + 150*t + 1.\nAnswer: 150*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 944 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10874\/11 + -988. Let h = -9.6 - -10. Let z = 1.8 - -0.2. Which is the third smallest value? (a) h (b) z (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:11 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15711, 28042, 40373?\nAnswer: 52704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 279 (b) -215 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*j*l**2*s**2*u + 55*j*l**2*s*u - 2*j*l**2*s - 5969*j*l*s**3*u + 2*j*l*s**2*u - 10*j - 2*l**2*s**3 + u wrt s.\nAnswer: -35814*j*l*u - 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 - 2*w - 1. Let c be q(2). Suppose -c*f = -5*f. Suppose f + 0*n + 2\/9*n**2 + 2\/9*n**3 = 0. What is n?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*j + 0)*(-2 - 2*j**4 + 2) - 2*j**5 + 0*j**5 + 3*j**5 - 5*j**5 + 10*j**5 + 0*j**5 + 0*j**5 - 2*j**5 + 6*j**5.\nAnswer: 14*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y = -267 - 321. Let s = 47 - y. Is -2 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*g + 50*g + 384 - 15*g + g**2 wrt g.\nAnswer: 2*g + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1240, -2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175813515?\nAnswer: 3, 5, 29, 199, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 9. Let l be v(7). What is the second smallest value in 4, 2\/7, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208678435 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.103, 0.7, 154, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -5. Let l = w - -16. Solve -l*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-717)\/16730)\/((-3)\/8)?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*b + 8550*b**2 - 8559*b**2 + 40*b to the form a*b**2 + d + j*b and give j.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in months?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 25. Is q equal to 23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 33\/(3\/(5 - 2)). Let p = -18 + g. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78014974 and 1017.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of y**6\/8 + 3*y**5\/20 - 3*y**4\/8 - y**3\/2 + 3*y**2\/8 + 3*y\/4 + 8. Factor w(v).\nAnswer: 3*(v - 1)**2*(v + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-2\/3)\/p))\/p)\/p**(-12)*p\/p**(-1\/32)*p**(-7) assuming p is positive.\nAnswer: p**(739\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000281 rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 - 11*h - 20. Let a be (-5 - (-66)\/12)*-6. List the prime factors of v(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43.039 + -43. Let w = c - -41.961. Let h = -41.99999997 + w. Round h to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r = 2*r - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z - 1144 = 3*n - 1193, n = -z + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(-4 + -2 + 2). Suppose 0 = -4*q, -2*g + 2*q + z = 2*g. Solve 0 = -g*w + 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161320?\nAnswer: 2, 5, 37, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 2e7?\nAnswer: -2e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -98073, -196097, -294081, -392025?\n\"Answer: 20*h**2 - 98084*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7549 - 451. What is d rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 1. Let f(h) = h**2 - 3*h - 4. Let j be f(6). Let t be 49\/j*(-4)\/(-7). Solve i + t*i = l for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 535*t = -1071*t + 1213 + 14847 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2131446 is divided by 30009.\nAnswer: 807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -144400525 - 10?\nAnswer: -144400535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, -4, 3, 0 in decreasing order.\nAnswer: 3, 0, -4\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 148652 divided by -4?\nAnswer: -37163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/6 and 58\/4686939.\nAnswer: 9373878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*u - 152*u - 113*u - 2.\nAnswer: -38*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 153 and 11373.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21475802218333611555 + -21475802208965882552.55999935. Let d = 9367728989 - f. Let j = d + 13.44. Round j to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 6*x**2 + 7. Let q be r(-6). Let i(k) = q - k + 1 - 4. Calculate i(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -10. Suppose -4*z - d = -o, -4*z + 66 = 3*o - z. Suppose -2*a + 203 + 119 = 0. What is the highest common divisor of o and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 7167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 155\/2. Let a(h) be the first derivative of 2 - n*h**2 + 1\/3*h**3 + 2*h. What is s in a(s) = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769*z**2 - 783*z**2 + z - z.\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 383 + -266. What is the highest common factor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 18850*s**2 + 169985*s + 264530.\nAnswer: -5*(s - 3779)*(s + 2)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03855 times 12?\nAnswer: 0.4626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 311 = -3*g. Let y = g + -47. List the prime factors of y.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*h**2 - 2 - 101*h**3 + 20*h**3 + 26*h**3 - 5 + 50*h**3 to u*h**3 + v*h + q*h**2 + x and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 271 - 28?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-66)\/(-2) - ((14 - 8) + -7). Suppose -t*q + 8610 + 774 = 0. Is 19 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -107 + 28. Let i = -29 - v. Suppose 108 = 5*j + g - 20, -2*j = g - i. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41635 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -s**2 - s**2 - 35*s + 7 + 35*s to the form v*s + n*s**2 + p and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2845 - 511. Does 19 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 723*g - 217632. Determine s(301).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 157*f. Let n(u) = u + 1. Let s(z) = 13*z + 11. Let p(a) = 11*a + 9. Let c(k) = -3*p(k) + 2*s(k). Let h(x) = -c(x) - 5*n(x). Give q(h(g)).\nAnswer: 314*g","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let z = 159120 - 30550973\/192. What is the common denominator of z and -121\/20?\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -280, -197, -114, -31, 52, 135?\n\"Answer: 83*p - 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 1.7. Suppose 4*i + 0*i + o = 62, -i - o + 17 = 0. Let n be ((-4)\/(-6))\/(50\/i). Which is the nearest to z? (a) 0 (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -47957, -47956, -47955, -47954, -47953?\n\"Answer: n - 47958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from ftcgi?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 656, 549, 376, 143, -144, -479, -856, -1269?\n\"Answer: d**3 - 39*d**2 + 3*d + 691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394446162.\nAnswer: 2, 3, 11, 113, 52889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*z + 30 = -302*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 3. Let m = -0.06 + 2.06. Let q = m + p. What is the closest to q in -4, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 30. Calculate the common denominator of ((-6)\/p)\/(18\/(-309)) and -11\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, -3, 0, -4, -5 in descending order.\nAnswer: 0, -3, -4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1046675 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 12:42 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 123982 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 69952.\nAnswer: 349760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.44. Let l = d - 11.74. Let w = l + 12.000065. Round w to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 27 = 9*q. Suppose -p = -g + 29, 0 = g + q*p - 2*p - 29. Does 13 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 + 3)*(-w**5 + 2*w**2 - 2*w**2).\nAnswer: 8*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -144298160 divided by -36074540\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g**3 + 2 + 17*g**2 - 30*g**3 - 20*g + 9*g**3 + 2 = 0. Calculate g.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 7. Calculate the remainder when 3\/(-12) - (-114)\/8 is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 4*s + 0*s + 0 + s + 2 - 4*s + (-3 + 2 + 2)*(0*s - s - s).\nAnswer: -9*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12257759, -12257761, -12257763, -12257765, -12257767, -12257769?\nAnswer: -12257771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + -2 + 3 - (-1 - 8). Let z = 210.1 + -210.6. What is the closest to t in -5, z, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -12*p**2 - 43*p + 20. Give j(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -30797 (base 15) in base 14?\nAnswer: -3dd8c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 30?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + u + 1. Let v(m) = 3*m**3 - 3*m**2 + 2*m + 2. Let l(w) = 2*h(w) - v(w). Factor l(i).\nAnswer: -i**2*(i - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/99 - (-1275)\/(-11). Let o be (-1 - 0)\/(-4) + (-783)\/j. Solve -13 + o = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(2\/15)\/c**4)**(6\/19))**(1\/29))**(-16\/7) assuming c is positive.\nAnswer: c**(64\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12924065, -25848130, -38772195, -51696260, -64620325?\n\"Answer: -12924065*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 425685.4 kilometers to meters.\nAnswer: 425685400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**9\/24 - 47*i**5\/60 + 91*i**2. Find the third derivative of m(l) wrt l.\nAnswer: -2520*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -669?\nAnswer: -669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 26, 18, -10, -64, -150, -274, -442?\nAnswer: -660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 = 2. Let x be -2 - (f + 27\/(-3)). Solve x = -4*t + 5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 33*t - 1. Let o be d(-1). What are the prime factors of (o\/(-5))\/((-2)\/(-10))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21034 = -4*w - 3*g + 12252, 5*g + 33334 = 4*w. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a week?\nAnswer: 44800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**5 - 1. Let h be 3 + -2 + -1 - 4. Let x(s) = -2*s**6 - 4*s**5 - 7*s**2 - 4. Let o(k) = h*w(k) + x(k). What is the third derivative of o(l) wrt l?\nAnswer: -240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12766251 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 203 + -203.4. Let h = 0.05 + -3.05. Let j = 0.02 - 2.02. Which is the nearest to 2? (a) h (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-1*-1 + sqrt(567))**2 - (sqrt(175)*-1 + -5).\nAnswer: 5*sqrt(7) + 2273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 964 is divided by 42?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - -4. Suppose -4*p - 2*z = -42, p + 0*p + z = 10. What is the greatest common divisor of n and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-52))\/(6\/24).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4.5. Let j = -31.5 + n. Let m = j - -30.52. What is m rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(2299) - (-2 + sqrt(2299))) + sqrt(2299) + 5 + sqrt(2299) + 1*sqrt(2299))**2.\nAnswer: -66*sqrt(19) + 20692","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/1829 (b) 3\/4 (c) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -117*b + 108*b + 8964. What are the prime factors of b?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -11. Solve y*v = -3 + 5 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2733 + -1?\nAnswer: 2732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of t**3\/6 + 4*t**2 + 5*t. Let p(j) = j**2 - 5*j - 6. Let x be p(6). What is the units digit of r(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 19*g - 29 = 0. Calculate the highest common divisor of 87 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 11. Let q(g) = g**3 - 3*g**2 + 2. Let n be q(s). Suppose 3*r - 52 = -4*p, -n*p = 3*r + 2*r - 110. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (145\/(5075\/(-9310)))\/(-7).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 8, 4, -6\/5, -4\/7, -235?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-640)\/(9\/54*-3). What is the highest common factor of z and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 96377 - 113653 = -4433*t - 2559*t for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -312 * 14\nAnswer: -4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) 5 (c) -14 (d) 560 (e) -0.3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 36*u + 33*u - 22, -2*k + 26 = -4*u. Factor 3*i**3 + 15*i**2 + 18*i + 5*i**2 - 4*i**3 - 2*i**3 + k*i**3.\nAnswer: 2*i*(i + 1)*(i + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33873345.\nAnswer: 3, 5, 11, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6769860 by 6769860.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*z = 3*b - 40, -z = -3*b + 28. Let d = -1 + b. Suppose -168*i + 203 = -469. Solve -d = -5*x - i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 63 = 0. List the prime factors of q.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 3*p = 16. Suppose -p*q + 5*o + 13 = 37, q = 3*o - 13. List the prime factors of q + 0 + (18 - (2 + 1)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n, -2*g + 5*n - 363 = 2*n. Round g to the nearest ten.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 - 8*d**2 - 25*d + 11. Let x be b(6). Let n(m) = m**3 - 4*m**2 - 5*m + 6. Determine n(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2098903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -486*s + 560*s - 666 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 2)*(n**4 + 0*n + 0*n) + 88 + 4*n**4 - 88 - 1 + 1 - n**4 + (5 - 1 - 1)*(75*n + 5*n**4 - 75*n).\nAnswer: 21*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 13664568?\nAnswer: 13664570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 440854133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 384004?\nAnswer: 2, 96001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 3*g + 13830. What are the prime factors of g?\nAnswer: 5, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 40. Suppose 13*i - 17*i = 72. Let f = i - s. Solve -2*o - f = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -4*t - 15. Let x be j(-6). Suppose -m + x = -5*h - 22, -3*h + 183 = 3*m. Calculate the greatest common factor of m and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/945 and 44445\/12600 + 1 + -4 - 1\/3?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5}. Give prob of sequence nn.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.39, 0, 2\/5, 5\/6?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30757 - 4?\nAnswer: -30762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 686 is divided by 10*12\/(-30) - 272\/(4\/(-2))?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 3*q + 4. Let u be t(3). Suppose 0 = 2*z - 6, -3*j - u*z + 27 - 6 = 0. Suppose 7*p - j*p = 4. Solve 0 = -2*w + p + 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59952960491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158804 is divided by 22684.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 4*b = 2*x - 70, 9 = 3*b. Calculate the remainder when x is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 2*q**5\/15 + 13*q**4\/24 - 8*q**2. Find the second derivative of a(u) wrt u.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526237652 rounded to the nearest 100000?\nAnswer: 526200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.067 and -0.277.\nAnswer: -0.295559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - 308186?\nAnswer: -308192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 4*r - 28 = 0, 3*r = 5*q + 22 - 51. Let v = 6 + -13. Calculate the remainder when q is divided by (-5 - v)\/(2\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/22 - 23*q**3\/11 + 126*q**2\/11 - 4*q - 6. Determine w, given that f(w) = 0.\nAnswer: 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 7:58 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 7*o. Let q be v(-6). Suppose -2*x = -q*x. Which is bigger: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-6*(-3 + sqrt(11)) - sqrt(176)*-1))**2.\nAnswer: -288*sqrt(11) + 1472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or -6515?\nAnswer: -6515","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -119*u - 140*u + 1307*u + 778*u to the form i*u + o and give i.\nAnswer: 1826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.401 times 4?\nAnswer: -61.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1069652544 by 6.\nAnswer: -178275424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 69 + -64. Suppose y*t - 192 = -3*t. Is t\/(-16)*(-1)\/3*596 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-84)\/16 - -4)*-4. Suppose -3*u + 19 = -x*u + 5*a, 5*a = u + 22. Suppose 0 = 3*l - 4*d - 274, -l = u*l + 5*d - 355. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, u: 1, r: 3, o: 4}. Give prob of sequence roo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40685684?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 12:04 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -109343097, -109343102, -109343107?\n\"Answer: -5*v - 109343092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -2\/17, -3, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -390 divided by -4.\nAnswer: 195\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*sqrt(17)*3.\nAnswer: -4 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 296\/3 - 68\/102. Differentiate 57 + 12 + s + 41*f**2 + 89*f**2 - 39*f**2 wrt f.\nAnswer: 182*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3526?\nAnswer: 2, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7357, -14739, -22121?\nAnswer: -29503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 66? (a) -277 (b) -3\/16 (c) 1 (d) -0.128\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41188423853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/11)\/(v*v\/v**7))**(-15) assuming v is positive.\nAnswer: v**(-810\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -33*o - 7. Suppose -3*b = 4*t + 14 + 3, 0 = t + 5*b + 17. What is the tens digit of v(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/(-3) + (12 - 10). Let c = 47 + -49. What is the closest to -1 in c, 4, a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14783500 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 2331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.733032995 to two decimal places.\nAnswer: -0.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-77)\/(132\/(-12))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9574908 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-831 + 839)\/((42\/(-27))\/7)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -7*s**4 + 5*s**2 - 20*s + 11. Let t(c) = -8*c**4 + 6*c**2 - 20*c + 11. Let z(y) = -5*t(y) + 6*v(y). What is the derivative of z(m) wrt m?\nAnswer: -8*m**3 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1293 divided by 2.\nAnswer: 1293\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q - 2. What is the units digit of i(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 b when three letters picked without replacement from uuuubbbbubuu.\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1847 is divided by 460.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 193 - 191. Suppose -5*d - u*i + 135 = 0, 5*d - 5*i = d + 141. Solve -d = 5*l - 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141433 (base 6) in base 2?\nAnswer: 11010000011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -148.1448 to one dp.\nAnswer: -148.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 7:19 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/34 and 47\/17.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91 - 8*q**3 - 91 + 13*q**2 + 39*q**2 - 55*q**2.\nAnswer: -8*q**3 - 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001815137686 rounded to 6 decimal places?\nAnswer: 0.000182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 3*i = -10. Solve i = 6*c - 4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 5 - 29*j + 0.\nAnswer: -29*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(405) - sqrt(405))*5 - (5 + sqrt(405) + (sqrt(405) - (sqrt(405) + -1)))) + -6*(sqrt(405) + 2)*3)**2.\nAnswer: 14364*sqrt(5) + 147969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -5*v. Let b(w) = -5772 + 11548 + 33*w**2 - 5775. What is h(b(i))?\nAnswer: -165*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3978735t in nanograms?\nAnswer: 397873500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qykklzkk. Give prob of picking 1 k and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 40\/22 - 8\/(-44). Solve -4*n + 9*n = 4*k - 11, 0 = k + q*n - 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910 = 16*w - 30754. What are the prime factors of w?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*h**2 + 4*h**2 - 2*h**2 - 47*h**2 - 45*h**2 - 2 + h + 96*h**2 + (0 + 3 - 2)*(4*h**2 - 3*h**2 - 3*h**2) + h**2 + 3*h - 3*h.\nAnswer: 2*h**2 + h - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -62\/17*n + 64\/17 - 2\/17*n**2 = 0.\nAnswer: -32, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -5*m + 5. Let d be -2 - 4\/(-3)*(-45)\/20. Let s(t) = 3 + 4*t + 0*t - 7. What is d*n(x) - 6*s(x)?\nAnswer: x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 2) + 9 + -8. Let p = 3 - s. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = -5*h + b - 570, -h - 102 = 5*b. Let t = 817\/7 + h. Let l = -0.35 - -0.15. What is the third smallest value in t, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-68)\/(-714)*-3)\/(1\/((-322)\/(-4)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 2*f = -192. Suppose -4*c = d - 49 - f, -4*c + 107 = 3*d. Suppose -214 - c = -v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2946 = 2*d, 6*a + 4908 = 11*a - 4*d. List the prime factors of a.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -272 - -270.5. Let a = 1.6 + b. What is the closest to -0.1 in -21\/4, 1\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -11 + 2. Suppose -4*z = -h*z + 25. Solve -5 = -z*b + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32884 and 10.\nAnswer: 164420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22458788189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9997, -9992, -9987, -9982?\nAnswer: -9977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1060)\/(-36)*(-36)\/(-120)*(-6)\/1\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 246 and 410?\nAnswer: 1230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -22*d**3 + 15*d**2 - 5*d - 23. Let z(f) = -33*f**3 + 24*f**2 - 8*f - 35. Determine 8*c(y) - 5*z(y).\nAnswer: -11*y**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(2\/27)*g)\/g)\/((g*g**(-2\/11)*g)\/g))**(7\/5)*g\/g**(1\/2)*g*g**(-6)*(g*g\/(g**(1\/4)*g*g*g*g)*g)**(-45) assuming g is positive.\nAnswer: g**(316607\/5940)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 6*s**2 + 7*s + 22. Let b be m(-5). Sort -2, -4, b.\nAnswer: -4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, a: 2, c: 3, f: 2, u: 3}. What is prob of sequence fudd?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 140388720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8 = -p + r, -4*p + 39 = r. Suppose 0 = 4*u + p - 42. Is 9 greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43158*x + 86115*x - 43305*x.\nAnswer: -348*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2)*u\/((u*u\/u**1*u)\/u))\/((u\/((u**(-2\/5)*u)\/u))\/(u*u\/u**(-9))) assuming u is positive.\nAnswer: u**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*a**3 + 96*a**3 + 92*a**3 + 90*a**3 - 372*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29805, 29806, 29807, 29808, 29809?\nAnswer: 29810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23650268 a multiple of 882?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344 and 72?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4412, 35295, 119122, 282365, 551496, 952987?\nAnswer: 1513310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 5773*b + 305658. Give j(-53).\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from euccb. Give prob of sequence bc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -56745 times -0.7?\nAnswer: 39721.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*m = 25*m + 12. Suppose -4*p + 2*u = p - 98, 80 = m*p - 2*u. What is the highest common divisor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 138000 to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1592*a**2\/5 + 3016756*a\/5 + 31836 = 0.\nAnswer: -21\/398, 1895","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d**3 + 35*d**2 - 35*d**2)*(0*d**2 - d**2 + 0*d**2) - 2*d - 10*d**5 + 14*d**2 - 17*d**2 + 14*d**3 - 15*d**3.\nAnswer: 9*d**5 - d**3 - 3*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -0.9. Let u = 3 - 7. Put b, u, -1\/2 in ascending order.\nAnswer: u, -1\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 2 + 4. Which is smaller: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 1045.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1359 + 3938. Suppose 4*f - 1 = -9. Let c be m + 3\/(-1 - f). Round c to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192821778 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52 + 5287\/102)*(0 + (-4)\/(-6)).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28858 + 2*l + 0*l - 160163.\nAnswer: 2*l - 189021","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*g + 146 - 668. Let v = 6 + -4. Let j be 1\/(g\/(-45) + v). Calculate the highest common divisor of 75 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4\/12*18\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minus -6695436?\nAnswer: 6695476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(605)*2 + sqrt(605) + (sqrt(5) - (sqrt(5) - (-2 + sqrt(5))))*1))**2.\nAnswer: -136*sqrt(5) + 5784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27888*y**4 - 55*y - 32 wrt y?\nAnswer: 334656*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-8)\/(-100)*5). Let f = l + 7. Solve f*i + 1 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 - 12. Let x(l) = g*l - 3*l - 1 + 0*l + l**2. Let d(h) = -2*h**2 + 4*h - 3. Let v be d(2). What is x(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + n + 54. Let a be t(0). Let s = a - 21. Let c = -1522 + 1540. What is the remainder when s is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602883 = 8*s + 5082883. Round s to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13905 - 12834. What is the highest common divisor of 105 and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -446.1355 rounded to one decimal place?\nAnswer: -446.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -t**3\/3 + 12*t**2 + 35*t - 227. Determine n(24).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 1 = -v. Let h be ((-40)\/16)\/(1\/2). Sort h, 4, v in decreasing order.\nAnswer: 4, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*a + 384*a = -226*a - 15332 - 27704 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -2 + 10 + -2 + -8 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -4925 divided by -985\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 6*o - 2*o)*(-476*o + 476*o - 97*o**4).\nAnswer: -194*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (10\/(-4))\/(1\/(-2)) and 2\/(-13) - 108\/(-26)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22.7 + -23. What is the second biggest value in 5, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w**3 + 5*w**2 + 4*w + 5. Let z(n) = -5*n**3 + 3*n**2 + 2*n + 3. Let t(i) = -4*f(i) + 7*z(i). Let q be t(-2). What is the units digit of -2*q*-1*2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21881 or -21882?\nAnswer: -21881","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1168321 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - x + 1. Let a(m) = -19*m - 270. Let h be a(-14). Calculate c(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380500831.\nAnswer: 380500831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 10*h**2 - 1133*h + 28. What is g(-38)?\nAnswer: 2650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12147 - 182201\/15. What is the closest to q in -1, -1\/2, 1\/5, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1448 and 791694?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*r + 1 = 0, -10 + 2 = -4*q + 2*r. Suppose -q*f = -f - 2. Suppose -x - 4 = -f. Let l(o) = o**2 + 4*o + 2. Calculate l(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5356407, 10712788, 16069169, 21425550, 26781931, 32138312?\nAnswer: 37494693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -581960 >= -581960?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 54 = 0, -9*f + 68 = -12*f + 10*p - 103 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -160*m - 148*m + 273*m + 0*m**2 - 7 + 3*m**2 + 8 to l + t*m**2 + w*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3941607 is divided by 795?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (106\/(-1325))\/((-404)\/39390)?\nAnswer: 39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 49?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 5 + (-21 - -3) + 15 - 52.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6853 divided by 11.\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225*d - 74*d - 79*d - 72*d + d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 731 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -32*v + 1. Let g(a) = 97*a - 2. What is -8*b(l) - 3*g(l)?\nAnswer: -35*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -76641, -153556, -230471, -307386, -384301?\nAnswer: -461216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, y: 7}. Give prob of sequence ee.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/(-8))\/(8\/(-32)) - 3. Find the common denominator of 3\/(-4)*89\/15 and 8\/q - 2346\/(-396).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3152086 is divided by 23523.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 p when four letters picked without replacement from {p: 1, j: 3, x: 5, h: 4}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 283331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2. Let v(g) = -5*g - 5. Let w be v(-1). Let b(n) be the second derivative of 3*n + 1\/6*n**3 + 0*n**2 + w. What is y(b(i))?\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 7. Let j(l) = 2*l**3 - 4*l**2 + 4*l - 21. Let v be j(3). Solve m = 8*s - v*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/4, 147, 2\/3, 1\/5, -5 in increasing order.\nAnswer: -5, -1\/4, 1\/5, 2\/3, 5, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -103, -426, -955, -1690?\n\"Answer: -103*y**2 - 14*y + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 3*a + 38354, 0 = 5*b + 4*a - 58079 + 19711. Does 137 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 < 1449?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 250400.\nAnswer: 2, 5, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*((sqrt(44) + sqrt(396) + 5 - -2*sqrt(88)\/sqrt(2)) + -1))**2.\nAnswer: 2280*sqrt(11) + 39961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230 (base 10) to base 8.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 802 and 1203?\nAnswer: 2406","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 9, i: 1, e: 1}. What is prob of sequence fef?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-38))**(-24)*l**(-2\/15)*(l**48*l)\/l)**5 assuming l is positive.\nAnswer: l**(14398\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -4*c**3 + c**2 + c + 3. Let g be i(-3). Is 35 a factor of 3\/3 + -4 + g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 498546? (a) 1\/3 (b) -3 (c) -0.4 (d) -1\/8 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/28 and 2\/8347.\nAnswer: 233716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/3 + 13\/3. Suppose 2*k - 3*k + 505 = 4*n, -k = -y. Is n a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + o + 2*m - 102, -3*m - 43 = -o. Let j = -16 + o. Calculate the lowest common multiple of 12 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/3)\/(1\/3). Let q be x\/(-3) + (-33)\/(-9). Let n(b) = -4*b**2 - 2 - 3*b + 3*b**3 + 5*b - 2*b**3. Give n(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 10:01 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.463 - -0.537. Let r be 6\/(-10)*(-4)\/6. Let t = -0.1 + -0.1. What is the closest to r in x, t, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302017 (base 8) in base 5?\nAnswer: 11134333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*t - 7*t - 880. Suppose 0 = -t*d + 2102 + 17192. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 1\/666661711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9 - 1) + (-38)\/(-6). Which is the nearest to h? (a) -5\/3 (b) 5 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v - 5. Suppose o + 0*u = 3*u + 13, -o + 11 = -2*u. Let f be s(o). Let t be 27\/(-18) + 42\/(-12). Sort f, t, -2, -1 in decreasing order.\nAnswer: f, -1, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 101\/4 - 25. Let s = 1 - 1.4. Let b = 3 + -3. What is the closest to b in 2, r, s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/(-9)*(-7)\/(392\/12). What is the second biggest value in -0.5, w, 12?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 10:57 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50.48 - -53. Let g = -3.92 + 4. Let m = g + i. Round m to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1.198, 2, 20, 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7404977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 9, h: 5}.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 180210 by -3.\nAnswer: -60070","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-95)\/38 + (1\/(-1) - -1). Which is the closest to 1? (a) -4 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 80 = 15*u. Let j be (-9)\/(-2) + (-3)\/(-6). Solve 2*w + 3*r + 9 = j*w, -4*w + 2*r = -u for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9 - 2346?\nAnswer: -2339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/4)\/((-9)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b. Let p be y(-2). Suppose 10 = p*t + a, 5*t - 5*a = 16 + 9. What is o in -2*o - 2*o**2 - 2*o**2 + o + 2*o**t + 1 + 3*o**4 - o = 0?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (413 + -2)*(-908)\/12. Let f = 69904 + j. Suppose -2*g = -4*t - 3*g + f, -29120 = -3*t - 4*g. What is t rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -15*c**2 - 1038*c + 1038*c. Let x(h) = -2*h**2 - 3*h - 3. Let z(r) = -r**2 - r - 1. Let o(t) = -x(t) + 3*z(t). Determine o(u(n)).\nAnswer: -225*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Simplify ((-5*-5*(-1 + sqrt(275) + -1) - (-1 + (1 + sqrt(275) - sqrt(275) - sqrt(275)) + 3 + -3*(sqrt(275) + 2*sqrt(275)))) + 1)**2.\nAnswer: -18200*sqrt(11) + 339579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 10 = -58 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3565636 (base 8) to base 15.\nAnswer: -144ad2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 942784 to the power of 1\/2, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -119.579148 rounded to zero dps?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 98286 a multiple of 180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2464 + -709. Suppose -c = t + 5*c - 882, -2*t - 3*c + a = 0. Is 11 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -5*o + 3*o. Let v be o + 58 + 2 + -1. Suppose -5*h + v = 3. Calculate the remainder when h is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.01, 4\/5923187, 0.2?\nAnswer: 4\/5923187","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-5))\/3*1540\/(-1540)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 44 = 10*h - 5*h, -8 = 4*i - 4*h. Let k(c) = c**2 + 9*c + 19. Let v be k(i). Is -699*((-5)\/(-15))\/(v\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2674751586?\nAnswer: 2, 3, 13, 103, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 4*m**3\/3 - 11. Let u(z) = -6*z**2. Calculate y(u(w)).\nAnswer: 144*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690916827.\nAnswer: 3, 230305609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j + b + 135 = 184, -68 = -4*j - 4*b for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0937187 to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*c**2 - 83*c**2 + 148*c**2 - 20*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d**3 - 9*d**3 + 673*d**2 + 60*d + 57*d - 640 + 201*d + 288*d**2 = 0 for d.\nAnswer: -320, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(4\/3)*-10. Let u = c + -10. Find the third derivative of 2 + 3 - 3*h**2 - u - 3*h**6 wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/1*9*-1. Suppose 4*d + 3*f = 75, o*d + 4*f - 80 = 5*d. Solve -26 + 6 = -5*s - 5*k, -3*k + d = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0127472534 rounded to 4 decimal places?\nAnswer: -0.0127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**2. Let k(n) be the third derivative of -n**7\/1680 - n**5\/15 - 4*n**2. Let w(x) be the third derivative of k(x). What is o(w(z))?\nAnswer: -36*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/5)\/a**(-6))\/((a*(a\/a**(-6))\/a*a)\/(a**(-7)\/a)))**(-15) assuming a is positive.\nAnswer: a**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.7. Let v be 28\/7 - 12\/2. Let u = 20\/9 + v. What is the closest to -2\/5 in j, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 3*c**5 + c**2 + (-2 + c**2 + 2)*(-2*c**3 - 3 + 3) - 2*c**5 - 3*c**5 + 3*c**5 + (5 - 5*c**2 - 5)*(-4*c**3 + 3*c**3 + 3*c**3).\nAnswer: -11*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -5*f + 44. Calculate the remainder when 103 is divided by d(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.3 (b) -2\/7 (c) 75\/28 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 9 (c) -25286.97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(sqrt(5) - (sqrt(500)*3 - sqrt(500))) + -2.\nAnswer: -2 - sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -310*k = -294*k - 5200. Let t(d) = 66*d + 9. Let g be t(7). Let b = g - k. Round b to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-78)\/(-65)*65\/(-2). Sort o, 4, -4.\nAnswer: o, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**2 - u**3 + 3712*u + 3715*u - 7421*u - 3 + 4. What is g(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4198202, -8396404, -12594606, -16792808?\nAnswer: -20991010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40 and 11.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -6, 0 = -2*z + 4*z - d + 6. List the prime factors of (4\/2)\/(z\/(-122)).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/11)*q)**(-21\/4) assuming q is positive.\nAnswer: q**(-63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/16 and 9\/1330?\nAnswer: 10640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + b243a8?\nAnswer: b243a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.92 - -0.72. What is the closest to 0 in 5, -2\/11, z?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -457?\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1177, 2511, 3847, 5185, 6525?\nAnswer: 7867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 9.945?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 13*u - 4070 = 0. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/526 and (-462)\/224 + 7 + 0\/2.\nAnswer: 4208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25424279.7 rounded to the nearest 100?\nAnswer: 25424300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2a3a3 (base 11) to base 12\nAnswer: -20b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10.3519?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 5*h, 0 = 2*h + h - x. Solve -4*m + h*m = l - 23, -5*m + 31 = 2*l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40455 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: Calculate 99 + -99 - (1 - (1 + -2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112678?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 10*w + 3. Let t(g) = 5*g + 2. Let y(m) = 3*n(m) - 7*t(m). Let h be y(-2). Suppose -7*p = -h*p - 50. Solve 8*u = 3*u + p for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - 1148?\nAnswer: -1171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -6.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 379220 and 50?\nAnswer: 1896100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 + (-10 - -3 - (74 + -39))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 - -76. Let q be r*(-8)\/(-6)*57. Calculate the highest common factor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*n**3 - 6*n**3 + 4*n**3)*(-47 + 47 + 36*n).\nAnswer: 432*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**3*(n*n*n\/n**(-2\/15))\/n)\/(n*n**(-2))**(1\/32))\/((n**(-1\/3))**48\/(n**(-2)*n*n*n**8)) assuming n is positive.\nAnswer: n**(13999\/480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 8 = 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 22734?\nAnswer: 1\/11367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 191331, 382626, 573885, 765108, 956295?\n\"Answer: -18*l**2 + 191349*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -1211010111?\nAnswer: 1211010022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by 6\/(-4)*300\/(-45) - -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12 + -6 - (-172)\/(-22) and -49\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 AM and 5:12 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2293*p**3 + 134354*p**2 + 349498960*p wrt p.\nAnswer: -13758*p + 268708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 53830094*o - 267555506?\nAnswer: 53830094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cfypnhfc. What is prob of picking 2 c?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 25 = -3. Let t(q) = 6*q - 4. Let w(r) = 5*r - 3. Let s(k) = -3*t(k) + 4*w(k). Give s(o).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*z + 109 + 52 = 0, z = -4. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 30129.62ug?\nAnswer: 0.00003012962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/18*6*3. Let k = y + 0. Let r = -6 - k. What is the nearest to 2\/5 in -1\/4, r, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -p - 2*f, 4764*f - 4766*f = 4*p + 250 for p.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 16 * 7\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(-1)*l)\/l)*l*l)**(-11\/6)*(l\/(((l**(-2\/3)*l)\/l*l)\/l*l))**(-28) assuming l is positive.\nAnswer: l**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5310.08 + 5310. What is the nearest to 1 in -0.3, -0.1, l, 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55896, -56076, -56252, -56424, -56592, -56756, -56916?\nAnswer: -57072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 + 3*t**3 + 1156069 - 2311869 + 1155800.\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -276524, -1106020, -2488516, -4424006, -6912484, -9953944, -13548380, -17695786?\n\"Answer: w**3 - 276506*w**2 + 15*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**3*i**4 + 204*h**3 + 50*h**2*i**4 - h with respect to i.\nAnswer: -8*h**3*i**3 + 200*h**2*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o - 5. Let k(z) = -5*z - 14. Suppose -2*q + 10 + 12 = 0. Let u(y) = q*w(y) - 4*k(y). Suppose 3*p + 4 = -r + 5*p, 12 = -5*r + 2*p. Give u(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1360 and 1020.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of g**4\/24 + g**3\/6 - 3*g**2. Determine c(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of 0*l**4 + 0*l**3 + 0 - 24*l - 7\/60*l**5 + 2*l**2. Let q(k) = k. Determine j(q(h)).\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a gram in milligrams?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, u: 1, m: 1, e: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(-9)*0\/1. Suppose m*f = f - 4. Suppose 20 = f*n, 183730 + 576290 = 4*a + 4*n. Round a to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 3*f - 142011 = -6*t, 4*f = -4*t + 113564. List the prime factors of t.\nAnswer: 2, 3, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3698*o**3\/3 + 3880922*o**2\/3 + 1987766*o + 763026 = 0. Calculate o.\nAnswer: -33\/43, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1423*i - 1550*i - 1016 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-11) + 1095\/33. Suppose -9 = 2*r - j. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.20815209 to two decimal places.\nAnswer: -1.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -37589, -37643, -37739, -37877, -38057, -38279, -38543?\n\"Answer: -21*d**2 + 9*d - 37577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) -17 (c) -5 (d) 0.2 (e) 0 (f) 0.193\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1536 - -0.1535499. Round i to five dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s - 98. Suppose 5*y = -4*q + 64, y = 4*q - 17 - 71. Calculate the remainder when 62 is divided by n(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -307. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r - 6. Suppose -2*j + 4 = 3*f - 3, -j + 3*f + 8 = 0. Suppose -j - 5 = -k. What are the prime factors of i(k)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g**2 + 362*g + 51. Let i be t(26). Which is bigger: -2358 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2284441*w**2 - 261*w + 6585 wrt w?\nAnswer: -4568882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 9740, -1\/2, 1, 0.57, 2\/11?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -445*q + 435*q - 30 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3\/8 (b) -1\/6 (c) -3798\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8251\/3 + -2750. Sort -0.029, j, 4 in decreasing order.\nAnswer: 4, j, -0.029","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(400) - (2*sqrt(400) + sqrt(400)))\/sqrt(2) + 3*(-2 + sqrt(10)\/sqrt(5)).\nAnswer: -17*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v + 9*v + 68 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x. Let w(z) = 5*z**2 + 4*z**2 + 5*z**2 - 8*z**2. Give w(t(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 16. Solve -4*d + o = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) + 3*sqrt(224))\/sqrt(2).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 4\/3, 1, 0.5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 34.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -8\/7 (c) -12514155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(1\/2)\/t))\/(t*t\/t**9*t))**32 assuming t is positive.\nAnswer: t**240","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i = 2519 - 503. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 39, 5, 3, -17, 15 in increasing order.\nAnswer: -17, 3, 5, 8, 15, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1982080 divided by -815.\nAnswer: -2432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3118, -7 in decreasing order.\nAnswer: 3118, 6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/2241 and 31\/117.\nAnswer: 29133","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**3\/3 - 2*l + 5. Let j be s(2). Suppose -15 = j*t - 55. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/30 - 13*m**4\/24 + 4*m**3\/3 + 88*m**2. Let w be o(-7). Is w greater than -0.91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5 - 5*g + 4 + 6*g + 3*g wrt g.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (0 + 70)*165\/66 and 45.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*d**3*r - 32*d**3 + 7119*d**2*r - 2*d*r + 5245*d - 51*r - 71 wrt d.\nAnswer: -102*d*r - 192*d + 14238*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -9 + 0 - 551\/(-19). What is the highest common divisor of y and 384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-18)\/12)\/(9\/1140). Let s = -180 - t. Solve 0 = f - 4*v - s, -f + 4*v + 6 = 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 598636189.\nAnswer: 598636189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3047.606ng in micrograms?\nAnswer: 3.047606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -101 and 1202 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -d + 502, 4*d - 5*m - 2899 + 966 = 0. Solve 8 = 469*w - d*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/36*3*(-87)\/(-116).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*h**4 + 37575*h**3 - 815955*h**2 - 330895*h - 33240 = 0. Calculate h.\nAnswer: -1\/5, 24, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6188 divided by -3094?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = 65*z - 79*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93*f**3*n**2 + 2*f**3*n*x - 3*f**3*x + 3*f**3 - 1398*f**2*n**2*x - 2*f**2*x - 2*n + 7 wrt n.\nAnswer: 186*f**3 - 2796*f**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*u - 45 + 33 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = -3*i, 4*i = -8*b + 25 - 9. What is the highest common factor of 130 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2106 and 4050?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -612618 and 1.2.\nAnswer: -735141.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Total of 686036154365 and 89.\nAnswer: 686036154454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -51840 divided by -5\nAnswer: 10368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nro when three letters picked without replacement from nnnnrnoraoonnnnn?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -132*-45.747\nAnswer: 6038.604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/5))**(3\/43)*(g*g*(g*g**(11\/5))\/g*g*g*g*g)\/(g*g**(-1\/22)) assuming g is positive.\nAnswer: g**(34337\/4730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 260, 600, 1076, 1688, 2436?\nAnswer: 3320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21340 by -5.\nAnswer: 4268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and 0.84.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - q + 3*q)*(2 - 5 + 10)*(-3 + 1 + 4)*(11 + 10 - 28).\nAnswer: -98*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 3.49, -4\/7, 9, 0.5, -2\/47?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2098300 divided by 4?\nAnswer: 524575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6.7053789 and 0.4.\nAnswer: -2.68215156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 4:13 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*p - 33 = -125, -4*k - 152 = 2*p. Let o = k - -61. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343 + 199 + 4*c + 196 + 4*c - 6*c.\nAnswer: 2*c + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 41 (c) -2\/13 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*i + i + i)*(-i + 2 - 2 + 157 - 13*i - 157 + 2*i + 0*i + 0*i - 2*i - 3*i + 3*i + (1 + 2*i - 1)*(-5 + 5 - 2) + (-2 + 2 + 2*i)*(4 - 2 - 4)).\nAnswer: 22*i**2 - 44*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 + 3\/8*u**2 + 3\/16*u**3 - 1\/16*u**4 + 5*u. Let g(z) = 0. Calculate z.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -42.8. Put r, -3\/7, -2, -1\/4 in decreasing order.\nAnswer: r, -1\/4, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18 and 3116478?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-50)*855\/(-4104)*-5\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -279*v**2. Let p(s) = 149*s - 10. Give p(d(o)).\nAnswer: -41571*o**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 0 + 4)*(-2*f + 4*f + 0*f) + 48*f + 62*f - 58*f in the form z + d*f and give d.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 PM and 1:06 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 749206.\nAnswer: 2, 374603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 13*j**6\/180 - j**5\/120 + j**4 + 13*j**3\/6 - 2*j - 14. Let x(z) be the second derivative of m(z). Differentiate x(q) wrt q.\nAnswer: 52*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22403 and 215.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 11988*y**2\/11 - 23984*y\/11.\nAnswer: 2*y*(y - 5996)*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(2\/13)*j)*j**(1\/3))\/(((j**(1\/11)*j)\/j*j*j)\/j**4))**(-50) assuming j is positive.\nAnswer: j**(-44800\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -v**3\/3 - 35818*v**2 - 963127435*v - 149957464852\/3 = 0?\nAnswer: -53701, -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 5 = 2*j. Suppose j*d + 0*d = 0. Solve d = g - 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -713*n**5 + 9086*n**4 - 88773245*n**2.\nAnswer: -42780*n**2 + 218064*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, g: 2}. What is prob of picking 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r = -10*r + 104472. What are the prime factors of r?\nAnswer: 3, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 100\/(-12)*(-2 - 1). Calculate the greatest common divisor of h and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 876 (base 10) to base 2.\nAnswer: 1101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 81*a - 80*a - 4 + 2 = 0, -a + 1 - 3 = -218*q - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-3)*132\/704*(-7)\/(42\/(-184))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 511 = -12*l + 2275. Suppose -l - 53 = -8*q. Suppose -2*t = 5*p, -2*t - 2*t - 2*p + 16 = 0. What is the greatest common divisor of t and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -587780, -587775, -587772, -587771, -587772, -587775?\nAnswer: -587780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1991896 + 374591 - z + z - 3*z.\nAnswer: -3*z - 1617305","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r - 8. Let a(w) = -w**3 + 5*w**2 - 4*w + 4. Let u be a(3). Let k be d(u). Suppose 116 = k*j + 2*j. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3\/5 (b) -9.2 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 113003*v + 3390072. What is m(-30)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (190 - 23 + 26)*(-3*y**4 - 4*y**4 + 5*y**4) - 4*y**4 - 4*y + 4*y to l*y**3 + q*y + v + u*y**2 + g*y**4 and give g.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 - -93 - (23 - -10)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (97\/(-75))\/(12\/(-10)) and ((-28)\/120)\/((-11)\/506*(10 - 4)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 11*d. Let j(g) = 2*g + 1. Let x(c) = 7*c - 1. Let t(p) = j(p) + x(p). What is t(b(s))?\nAnswer: 99*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 7*g**2 - 149*g - 1442. Give y(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -14*m + 2. Let s(t) = t. Let q = 21 - 30. Let p be (-10)\/(-6) + (-3)\/q. Suppose f + 4 = l, -3*f - 2*l + p = -1. What is f*x(o) - 12*s(o)?\nAnswer: 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 756\/210*(13 + -8).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 555?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 153 = z. List the prime factors of z.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -28?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.676 + 10.925. Round r to one decimal place.\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/115 and 21\/89240.\nAnswer: 89240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmppttmbmbpgppmmb. Give prob of picking 1 b and 1 g.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 2*h - 5*k + 26, 0 = -3*h + 11*k - 64 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 2, b: 1, l: 9}. Give prob of sequence bn.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r**2 + 5 = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-7)*c**9*c*c)\/((c*c**(1\/3)*c)\/c)**25)**3 assuming c is positive.\nAnswer: c**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*((r*r*r**(-10))\/r)\/r)\/r**(-1\/3) assuming r is positive.\nAnswer: r**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259634.\nAnswer: 2, 43, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + g - 4 = 0, -152*h - 4*g + 2 = -309*h + 154*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from llqlqllllqqlll.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -1, 927, 5 in decreasing order.\nAnswer: 927, 10, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 2264415?\nAnswer: -2264415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3077346 minutes to seconds.\nAnswer: 18.464076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 less than or equal to -567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxoeooq. Give prob of sequence xqe.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8315098 and 5148.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 24 (b) -20206 (c) 5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 8077, -0.01 in increasing order.\nAnswer: -3\/8, -0.01, 8077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 21412363?\nAnswer: 21412364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -2\/11 (c) 9.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 143953.858 to the nearest ten thousand.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 3:47 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(1\/7)*o**(1\/10))\/(o**(-1\/6)\/(o*o**(-2)*o*o*o)))**(2\/19) assuming o is positive.\nAnswer: o**(926\/1995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 69742949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 + 1. Let x(k) = -5*k**2 - 5*k - 6. Let z(h) = 4*j(h) + x(h). Let a be z(-4). Suppose 0*u - 6\/7*u**4 + 2\/7*u**3 + 0 + 4\/7*u**a = 0. Calculate u.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = -44 + 65 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2109450973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38854*r + 38850*r = -40 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 349402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 6*a**2 - a - 6. Let s be 1*51\/(3\/1). Let h = 8 - s. Let d be 1\/((-3)\/h) + -9. What is q(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 11:38 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 43527744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.05 - 0.05000075. What is p rounded to 7 dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 148302 from 8.\nAnswer: -148294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -x**4\/24 - 8*x**2 + x + 142. Let s(o) be the second derivative of d(o). Let p(m) = 24*m**2. Calculate s(p(l)).\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95754147 or 95754145?\nAnswer: 95754145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 10 = 2. Let h(v) = 19*v + 2*v**2 + 3*v**j - 24*v - 4*v**2. Determine h(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9, j: 5, o: 1, x: 5}. What is prob of sequence ojx?\nAnswer: 5\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-40)\/24*((-42)\/15)\/7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7824.506613 take away 553?\nAnswer: 7271.506613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/36*-12 + 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 290, -144 in descending order.\nAnswer: 290, 4, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1835, 1836, 1837?\nAnswer: 1838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 1, p: 1, v: 2}. Give prob of picking 1 p and 1 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.64 in 1, -2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 7\/3, 3\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 18882 - 886 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 18*a**2 + 4*a + 51. Let s be p(-18). Let b be ((-66)\/(-77))\/((-6)\/s). Solve 0 = -f - 5*l - 17, 2*l + 18 = b*f + 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -5\/3, 8?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -10)\/(16\/8). What is the units digit of 330\/11*g\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 160, 385, 710, 1141, 1684, 2345?\nAnswer: 3130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*5)**2 + 5.\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 625979.6ug?\nAnswer: 625.9796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 307 - 301 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2594 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2 + 288\/(-15))\/(8\/(-80)). Let g be -1 + (-2 - -1) - -474. Let d = g - r. List the prime factors of d.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256 + 1143.25.\nAnswer: 1399.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f + 2 + 3*f + 0 + 3*f**3 - f**3 to v + c*f + z*f**2 + q*f**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**2 + 25*k + 18. Let j be i(13). Suppose -j*q + 7*o + 5 = 2*o, -2*o = q - 13. Solve 5*h + q = -0*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 7 + 12. Suppose -4*b - j = -9. Solve -c = b*c - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 5. Suppose -g = -2*q + 10, -g + 2*g + m*q - 15 = 0. Solve 0*f = -5*y + 4*f - 15, g = 3*y + 5*f + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57137, -114234, -171331, -228428, -285525?\nAnswer: -342622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4499 - 91466?\nAnswer: -95965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -145*o**3 - 14*o**2 - 73*o + 31. What is the ten thousands digit of l(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 2632*j + 52 = -2631*j, 80 = -5*d + 5*j for d.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180 or -3046\/17?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of 267141.50219 and 0.22.\nAnswer: 267141.72219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -30697 + -2090?\nAnswer: -32787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/18921 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10962 and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30.8 + 194.2. Let u = j + -216. Are 16 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 4*z - 1. Determine g(-7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 3*k**2 - 5*k - 7. Suppose -6*n - 15 = -n. Let y be d(n). What are the prime factors of (y - -1)\/((66\/16)\/11)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10 = 2. Suppose -k*c = -c - 9. Solve -c*x - x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.99975 + -15. Round j to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 17.7989, 2 in descending order.\nAnswer: 17.7989, 2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -3*((sqrt(7) - -6*(sqrt(7) + -1)) + sqrt(7)) + ((sqrt(245) + (sqrt(245) - sqrt(245)*-1) - sqrt(245))\/sqrt(7))\/sqrt(5))**2*6.\nAnswer: -5280*sqrt(7) + 22728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 686.6941 millimeters in kilometers?\nAnswer: 0.0006866941","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/5846 and -51\/20935?\nAnswer: 1549190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 0*o**3 + 0*o**2 + 33*o + 0*o**4 + 1\/15*o**5 + 1\/45*o**6 + 0. Factor n(l).\nAnswer: 2*l**3*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14057544 to the power of 1\/3, to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 51. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.093 + 0.007. What is the nearest to g in -2\/15, -5, 3\/8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/7 + 2628238*s**2\/7 - 431726529480*s\/7 - 215863921800\/7.\nAnswer: -2*(s - 328530)**2*(2*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(2\/5)\/w)*w*(w**(-4)*w)\/w)**(-2\/5)\/((w\/(w*w*w*w**1\/w))**(-8\/7)*((w**4\/w)\/w)\/w**(-2)) assuming w is positive.\nAnswer: w**(-1002\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**2 + 938530*a + 44041928045.\nAnswer: 5*(a + 93853)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (64252\/(-24))\/((-8)\/6). Let c = b + -2001. Let r = -109383\/20 + 5464. Find the common denominator of c and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*n - 26, 4*b - 3*n - 15 = 7. Let v be (b - (3 - 0))*(-8)\/2. Sort v, -1, 5, -5 in decreasing order.\nAnswer: 5, -1, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -900225\nAnswer: 2\/900225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**6\/120 + y**5\/10 - y**4\/3 - 2*y**3\/3 + 3*y**2\/2 - 9*y - 94. Let n(c) be the second derivative of h(c). Determine n(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/((-18)\/(-20)))\/((-18)\/189). Let o be 2\/(-3)*3048\/(-16). Let d = k + o. Does 23 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 214, 1, -5 in descending order.\nAnswer: 214, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14.107? (a) 2\/5 (b) -0.52 (c) 0.3 (d) 1 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 5*s**2 - 14*s + 15. Let f be v(9). Suppose -2*u + f = 5*y, -y = -u - 55 - 8. Calculate the remainder when 292\/6 + 20\/y is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 46*i**3*o**3 - 2*i**3 + 59*i**2*o**5 - 19*i**2*o + 4*o**2 wrt o.\nAnswer: 276*i**3 + 3540*i**2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 - 242*j - 19510. Give r(-54).\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3194 + 4175. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59014 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4*y = y + 262, -5*n - 4*y = -1266. What is the remainder when 513 is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 9. Let f be (-204 + 0)\/3 - -2. Let u be ((-1)\/8)\/(3\/f). Is c at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/3 + 3*1. Suppose g*l + 3*h + h - 14 = 0, -4*l - 3*h + 11 = 0. Find the second derivative of 3*j**2 + 3*j**3 + 2*j - 3*j**l wrt j.\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 81 and 2813103.\nAnswer: 8439309","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + g = -4*y + 314, 2*g - 1258 = -4*y. Let u = y + -210. Does 18 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 13, 65, 169, 343, 605, 973, 1465?\nAnswer: 2099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41943\/8 + 5255. Find the common denominator of -63\/44 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:16 AM and 1:10 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96 + 88 + 71 - 4*v + 87 - 432 + 90.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28508050?\nAnswer: 2, 5, 570161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 2:06 AM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millimeter in micrometers?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -579 = -6*t + 261. Is t a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**4 + 8*r**3 - r**2 - 2*r. Let t(o) = -32*o**4 - 90*o**3 + 9*o**2 + 22*o + 140. Let x(u) = 11*m(u) + t(u). Differentiate x(y) with respect to y.\nAnswer: -172*y**3 - 6*y**2 - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10324 = 567*w - 389*w for w.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91843332 divided by 195828?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -121, 28, 283, 650, 1135, 1744?\nAnswer: 2483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13003, 13004, 13005, 13006, 13007, 13008?\n\"Answer: u + 13002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13440, -13443, -13464, -13515, -13608, -13755?\nAnswer: -13968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*x - 9*x - 9*x + 21*x + 2 + 0 - 167*x**2 wrt x?\nAnswer: -334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, y: 3, r: 2, c: 1, u: 1}. Give prob of sequence ry.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -776507, -3106030, -6988569, -12424124, -19412695, -27954282, -38048885?\n\"Answer: -776508*g**2 + g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of 3*w**2 + 8*w - 10. What is the derivative of x(y) wrt y?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -35\/47872 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - a + 6 = 0, -c + 1 = -4*c + a. Suppose p + 2217 = 46*s - 48*s, -3*s + 3*p = 3348. Is 1 + c + (-10 - s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1962709*v + 1962766*v - 5888241*v + 1962768*v.\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33150 - 33150.4. Let p = 0 + 0.4. Let s = 0.3 - p. What is the nearest to s in a, 0.3, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 362*p**4 + 358*p**3 - 4*p**2.\nAnswer: 2*p**2*(p + 1)*(181*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 6736*a**2 - 2*a - 12. Let b(g) = -61*g - 1. Calculate b(x(c)).\nAnswer: -410896*c**2 + 122*c + 731","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + -1)*(5 - -18). Let f = -43 - p. Calculate the lowest common multiple of (-399)\/(-15) + 4\/10 and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2036570.269 - -2017179.2. Let o = 19408 + j. Let p = o + -0.131. What is p rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cacacaaaaa. What is prob of sequence caca?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -84b6 (base 15) in base 3?\nAnswer: -1102111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -89 + 94. Suppose 0 = -11*l + x + 39. Factor -4\/5*h**l - 4\/5*h**3 + h - 1\/5*h**5 + 2\/5*h**2 + 2\/5.\nAnswer: -(h - 1)*(h + 1)**3*(h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of -m**3\/3 + m**2\/2 - 4*m - 5. Let u be y(0). Let q(j) = j**3 + 2*j**2 - 7*j - 6. Calculate q(u).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61.46515g?\nAnswer: 61465150000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35 + -33 - (-1 + -7 + -22 + 23).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -131a (base 13) to base 10\nAnswer: -2727","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v - 1. Let l(g) = -g. Let n be 10*(6\/(-10) - -1). Suppose -5*i = 4 - 9. What is i*s(c) + n*l(c)?\nAnswer: -c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**5\/80 + o**4\/48 - o**3\/4 + 87*o. Factor n(c).\nAnswer: c*(c - 2)*(c + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 18, 68, 150, 264, 410, 588, 798?\n\"Answer: 16*w**2 + 2*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 647130146?\nAnswer: 2, 13, 31, 499, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(68) + 1) - (sqrt(68) + 1 + -1) - (-3 + sqrt(68) + 0 - (1 + sqrt(68) + -2)))**2.\nAnswer: 16*sqrt(17) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 3*s + 12 = 7*s, 0 = 3*s - 12. Suppose 0 = -4*v + 5*p + 29, r*v - 11 = 3*p + 6. Let z = -16 - -21. Sort z, v, -4 in ascending order.\nAnswer: -4, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/2)\/((-11)\/((-165)\/(-30))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 834 times 17.7413\nAnswer: 14796.2442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 6926.53689?\nAnswer: 6927.53689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 344 + -3097\/9. What is the closest to -2\/3 in 13\/23, 2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 3*f**5\/5 - f**4\/12 + 229*f**3\/3 - 1282*f. Find the second derivative of u(w) wrt w.\nAnswer: 72*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (14565\/10 - -7)*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 354819695 is divided by 687?\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1310040142 (base 5) to base 14.\nAnswer: 5d6368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*h + 3*w, 3*h - w = 4*h + 8. Let v(n) be the first derivative of -n**2\/2 - 7*n - 3. Let f be v(h). Solve 0*z + 3*z + 12 = f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1963600000 rounded to the nearest one million?\nAnswer: -1964000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*p + 13 = 0, 16 = -4*r + 5*p - 2*p. Let z be r\/(6\/(-8) + 1). Let k = -111.9 - -112.3. What is the closest to -1 in z, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 6:51 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 1 = -9. Suppose -2*u + v + 3 = 2*u, 2*v = 2*u + 6. Let m(r) = -u*r**2 - r**3 + 2*r**3 + 2*r + 5 - 9*r. What is m(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 5:11 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 - (2\/6)\/(-7 + 40\/6). Let c(u) = u**3 - 7*u**2 - u - 2. Let m(y) = y**3 - 6*y**2 - y - 1. Give z*c(g) - 7*m(g).\nAnswer: -g**3 + g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 8 + 6 + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46, 49, 52, 55, 58?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 7:53 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 451c - 24a5?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334 - 11143?\nAnswer: -12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -1388*h**2. Let y(u) = 5470*u. Give y(n(f)).\nAnswer: -7592360*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 - 241*i - 3370. Give u(72).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 35*o**2 - 2 + 35*o**2 + o - 2 - o**4 to u*o**4 + x*o**2 + y*o**3 + a*o + m and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32674 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2096 = 10*j + 1886. Solve -j - 43 = 16*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66 (base 13) to base 12\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -79.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100680689?\nAnswer: 2393, 42073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*m + 29 = -9 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -53719.93793 - -53721. What is g rounded to 2 decimal places?\nAnswer: 1.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 123050540100.96000096 + -123050570291. Let z = -30190 - o. Let m = 0.04 - z. What is m rounded to 7 decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mq when two letters picked without replacement from {m: 15, q: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 49*p**2 - 1046*p - 397. Calculate w(-65).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-6 + 1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -522*n**6 + 426*n**2 - 831*n - 829*n**6 + 829*n wrt n?\nAnswer: -162120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2413\/5 - 482. What is the third smallest value in -12, 1\/3, m, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -17*k - 3. Let y(s) = -35*s - 7. Suppose 21 = -3*d, 15*d + 55 = 3*f + 11*d. Calculate f*l(m) - 4*y(m).\nAnswer: -13*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 2*z + 11 + 16 to the form s + b*z and give s.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1706 (base 8) to base 5\nAnswer: -12331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 4641?\nAnswer: 2\/4641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 2:28 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 355826250?\nAnswer: 2, 3, 5, 13, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0.1, 1, -11\/27 in descending order.\nAnswer: 1, 0.1, -0.4, -11\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*k - 60. Suppose 7 = -a + 21. Calculate the least common multiple of k and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 2*y + 9, 2*r = 5*y + 13. Let a be 5 + (r + 1)\/1. Solve -3*j + 2*b = -2, a*j + 2*b = 3*j - 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 61 + 43 = 0. Is 6 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*j = -57*j - 74*j + 66*j - 142 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**3 - 5*j**2 - 2. Let n(a) = -a**3 + a. Let z(v) = -14*v**3 + 9*v**2 + 3*v + 3. Let g(p) = -3*n(p) + z(p). What is -7*f(d) - 4*g(d)?\nAnswer: 2*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/17, 1\/169, -6\/11, 5, 0.3, -6 in ascending order.\nAnswer: -6, -6\/11, 1\/169, 1\/17, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/3))**(-42)\/(g**0*g\/((g\/(g*g**(1\/4)))\/g)) assuming g is positive.\nAnswer: g**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09530068 rounded to four dps?\nAnswer: -0.0953","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, x: 2}. What is prob of sequence xx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -15*q**3 - 14*q**2 + 1. Let r be x(-4). Let k = r + -359. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 445467803?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/84 - (8\/84 - -6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -35. Calculate the remainder when 93\/(-2)*h\/(-9) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2174\/8983 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001000000001 (base 2) in base 6?\nAnswer: -414025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11375.19 - -35634923\nAnswer: 35623547.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21093 is divided by 166?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -96 - -136. Let n = s - 42. Let w = -7 - -7. Which is the nearest to w? (a) n (b) 3\/8 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/41 or 2\/53?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 + -19. What is the remainder when 19 is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**3 + 6*s**2 - 5*s - 5. Let v(b) be the third derivative of b**6\/40 - b**5\/10 + b**4\/6 + 2*b**3\/3 - 1191*b**2. Calculate 3*d(n) + 4*v(n).\nAnswer: 3*n**3 - 6*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -364.0482 - -0.0482. Let v = d - -404. What is the second biggest value in 2\/5, v, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1354890 divided by 78\nAnswer: 225815\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -202 divided by 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 = 2*p + 5*u + 14718, -3*p - 5*u = 21516. Let h = -519 - p. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -135 - -200. Let l = -1127083 - -1127147.9973. Let u = l - v. What is u rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1380 = -18*z + 1758 for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 + 550*j + 550*j + 552*j + 557*j - 92 - 2212*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 3290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 187379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1398772?\nAnswer: 2, 59, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 x when two letters picked without replacement from {y: 1, u: 1, p: 1, r: 2, t: 1, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7923414*r**4 - 11732241?\nAnswer: -31693656*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 4*i**2 + 3*i - 1. Let m be v(2). Suppose -219*a + 213*a - 228 = 0. What is the units digit of m - (a - (-8)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2255565 = 65*v - 31*v + 31*v. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -134*x - 151*x + 20*x**3 - 131*x + 416*x.\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 27 + 12 = 0. What is the nearest to 1 in -2\/5, -2\/9, q?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**3 - 2*b**4 + 3*b**4 + 0*b**3 + 2*b**4 - 4 + 4 + (0*b + 3*b - 5*b)*(0*b**3 - 2*b**3 + 0*b**3) + 2*b**4 - 3*b**4 + 2*b**4 + 5*b**4 - 13*b**3 + 13*b**3.\nAnswer: 13*b**4 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3126316079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.1 (c) 4 (d) -2 (e) -1\/34\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 388160569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299973?\nAnswer: 3, 99991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*y - 79, y + 75 = 6*y - l. Calculate the lowest common multiple of y and 44.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let z(w) = 15874*w**2. Give c(z(i)).\nAnswer: 503967752*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14251\/11 + -1299. Let m = 1 + 2. What is the common denominator of m\/(-6) - (-43)\/(-8) and k?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4218 divide 214232220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -3 + 3*f - f - f**2 - 6*f. Let d be c(-3). Is -68*((-26)\/8 + d) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 3\/5, 1\/373 in ascending order.\nAnswer: -78, 1\/373, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 27*p + 137. What is m(-6)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8877.\nAnswer: 3, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*b**3 + 7*b**3 + 13*b**3 - 5*b**3.\nAnswer: 15*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*g**26))\/(g\/g**(-24)))\/((((g*g**18\/g)\/g)\/g*g)\/(g*g**(-1\/4)\/g)))**29 assuming g is positive.\nAnswer: g**(-7917\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/11 and -32\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6434373 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 632 - 1568 = 0. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:48 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 10*z - 10. Let m be h(-8). Suppose m*k = k + 65. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 102 + -53. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -25*h + 20*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1) + 2 + -11 + -3 + 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38305, 76404, 114503, 152602, 190701, 228800?\nAnswer: 266899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*u - 94*u - 86*u - 100*u to b*u + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 461*n**3 - 46*n**2 + 126*n**3 - 64*n**3 - 188*n**2.\nAnswer: 523*n**3 - 234*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1888 is divided by 170?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -83*u**3 - 19*u**2 + 10. Let l(v) = -125*v**3 - 28*v**2 + 14. Give 5*l(t) - 7*y(t).\nAnswer: -44*t**3 - 7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 20*t**2 - 18*t - 13. Let u be k(19). Let i be 2\/(-6) + (-5)\/3. Put 5, i, u in descending order.\nAnswer: u, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(612) + (sqrt(612) + -2)**2 - (sqrt(1088) + (sqrt(1088) - (1*sqrt(1088) + 3))).\nAnswer: -26*sqrt(17) + 617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 + -50. Suppose 80 = c*w + 70. Solve -w*l + 6 = -4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 7*t + w + 9 = 0, 3*t = -w + 21. Let g(y) = 6*y**3 - 6*y**2 + 4*y - 16. List the prime factors of g(t).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -2, -5, -4, 5, 2 in increasing order.\nAnswer: -5, -4, -2, 2, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1280*b**3 + 3*b**4 - 4*b**4 - 7527*b + 1189*b wrt b?\nAnswer: -12*b**2 - 7680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1036345 is divided by 1275.\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -15*i - 360. Let y = i - -42. What is the tens digit of 30\/(-12) + 4 - (-133)\/y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a millennium?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ncnnnici. Give prob of picking 1 n, 2 c, and 1 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 543*f**2 + 2719*f + 35. Calculate r(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 11:04 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/(4*-2)*-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25610 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*v = -17*v + 13643. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y + 5*y - 5*y + 4*y - y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/3345526 and -19\/51583.\nAnswer: 23418682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*m = 2*n - 6, -4*n + 18 = 3*m. Suppose n*i - 11 = 4. Calculate the least common multiple of 11 and i.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(684))*1 + sqrt(133)\/(3*sqrt(7)*2))**2.\nAnswer: 37*sqrt(19)\/3 + 26047\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 8 - 1)*(6*g - 2*g + 9*g) in the form v + f*g and give f.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 162*a - 165*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.44819 to one decimal place.\nAnswer: -111.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 217227409271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41677, 41679, 41679, 41677, 41673, 41667, 41659?\nAnswer: 41649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14270*q + 2048*q - 2732*q)*(4*q - 2*q - 4*q) to c*q**2 + k + a*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210 is divided by 54?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1296.29948 + -1296. Let x = -0.2 - -0.5. Let q = x - n. Round q to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22131.89 + 23265. Let n = x - 1132.872135. Let g = n - 0.237. What is g rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 45*f**8\/28 - f**7\/21 + f**4\/6 + 14*f**3\/3 - 86*f - 2. Find the third derivative of c(a) wrt a.\nAnswer: 10800*a**3 - 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1388212 and 0.5?\nAnswer: 694106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13099*p + 13103*p + 2*s = s + 69, 0 = 7*p + 5*s - 111 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 8 = -2*n - 0*p, -2*n = 5*p - 32. Let z be 2\/((-4)\/6) + n. Find the second derivative of -7*k**z + 2*k**3 - 20*k + 25*k wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55\/84 - -1\/84. Which is the second biggest value? (a) p (b) 8 (c) 4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*x**2 + 10*x - x - 49*x**2 + 8*x**3 - 6*x to the form u*x + d + z*x**2 + j*x**3 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 1044473 (c) 3\/4 (d) 2\/7 (e) 3 (f) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 1 = -3*o, 5*o - 4*f = -f + 2. Let u be 3*o - (-10 + 8). Solve -5*a - u = 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77180501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.05 - -0.95. Let j = 0.7 - b. What is the biggest value in j, -5, -0.5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32*g + 43*g - 41*g as k + z*g and give z.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 6:36 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -369, -2915, -9767, -23061, -44933, -77519?\n\"Answer: -356*i**3 - 17*i**2 - 3*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of j**4 + 62*j**3 - 470*j?\nAnswer: 12*j**2 + 372*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 66802600 rounded to the nearest 100000?\nAnswer: 66800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, e: 7, v: 4, d: 2, t: 1}. What is prob of picking 1 t and 1 f?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 10*z**2 - 2*z. Let k be x(10). Let h = k - -40. Calculate the greatest common divisor of 80 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b4 + a?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 329*i - d = 325*i + 12, -10 = i + 3*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**9*f*f**(-4)\/f)**24\/((f**(-2\/5))**(-24)\/((f**2*f)\/f**(2\/13))) assuming f is positive.\nAnswer: f**(-19159\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 464 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 t when two letters picked without replacement from xtthgsh.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + l - 4*l - 379 = 0, 4*a = -2*l + 290. Which is smaller: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/18*9\/12. Suppose 3 = 4*y - 3*n, 3*y = 2*n - n + 6. Suppose -5*m - y*a = a - 5, -2*m + 2 = 2*a. Put -3\/7, d, m in descending order.\nAnswer: m, d, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2 times 147424\nAnswer: 619180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 120 + (25 - (-126 + 332))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 2*g + 1. Let b be i(2). Suppose 4*a = -4*m + 3*a + b, 0 = 3*a - 3. Let n = 3 - m. Solve 3*k - 9 = -n*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 4:23 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11392 = -78*s - 518*s - 281*s - 7902 for s.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 3*i = o + 182, 0 = -2*o + 2*i + 76. What is the remainder when o is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.166 - -0.034. Let u be 0 + (0 - (-1)\/3). Which is the closest to l? (a) -4 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -62, -108, -160, -212, -258?\nAnswer: -292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(-a**3 - a**3 + a**3) + 55 - 2*a**3 - 55 to the form g + z*a**3 + q*a + l*a**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -10010101001?\nAnswer: -10010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + (1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4)\/(1\/(-2390)). Suppose -q - 4*q - g = 0. Let l = q - -343. Calculate the greatest common divisor of l and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392600 is divided by 32716?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 42.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - -1. Let q(t) = 2*t - 18. Let z be q(s). Solve 0 = 5*y + u + 12, 2*y = z*u - 4*u for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 6*t - 240. Suppose 3*f + 1 = 2*i - 37, -4*i + t = -4*f. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 907 in 1\/2, 9, -27.9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28914 (base 10) to base 6.\nAnswer: -341510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 315, 445, 575?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert cc (base 14) to base 6.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 8*w + 4. Calculate z(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6\/913 (b) -1\/4 (c) 731\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 3\/(-3) + 1. Suppose -5 - n = -3*v. Suppose 0 = -2*k + v*q + 43, 4*k + 3*q - 31 = -2*q. Is k a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205864?\nAnswer: 2, 25733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -229 + 228.8999. Let y = i + 0.1001689. Round y to six dps.\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.3 * -0.097\nAnswer: 0.7081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 31*z**4\/24 + 31*z**2. Let i(h) be the second derivative of h**4\/12 - 2088*h. Calculate i(y(r)).\nAnswer: 961*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/6, -1\/3, 0.5, -1\/261?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -52, -3\/19, 5?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*t - 4*q, -3*t = 2*t + 3*q - 12. Suppose x - 10 = -p, -5*x = 3*p - t*p - 40. Let j(c) = 4*c**2 - 4*c - 3. Is j(x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xdhx when four letters picked without replacement from xxhhdxxdx.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2804.939 centuries in months?\nAnswer: 3365926.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 12*g + 13. Let q(y) = 34*y + 617. Let f be q(-18). Calculate v(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0093903 rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 757 or 755?\nAnswer: 757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -77?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 132 + -133 - (-7 + 1) - 9. Let w = 0 - 6. Let q = w + 0. What is the closest to 1\/2 in q, o, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(-2\/7))**(2\/33)*(w*w**(3\/5)\/w)\/w**(2\/5) assuming w is positive.\nAnswer: w**(391\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -7*b**3 + b**2 + 12*b - 6. Let g(y) = y**3 - y**2 - y + 1. Let u(p) = 6*g(p) + k(p). Calculate u(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -19. Let s(j) = j - 1. Let t be s(f). Let n(y) = -y + 4. What is n(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 + 7*v - 3. Let b be i(6). Let o be (1 + -5)\/(b + -2). Let r be 32 + 252\/(-9) - 6. Sort -5, o, r in descending order.\nAnswer: r, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -g, 12 = 4*u - 3*g. Suppose 3*c - 9 = 0, 2*t - 5*c + 6 = -u*c. What is the second derivative of t*n**5 + 2*n + n**5 + 0*n**4 + 0*n**4 wrt n?\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from jbarabjjyhar.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from {g: 3, v: 3, n: 4, s: 2, d: 2, w: 2}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 940 and 180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 23140 - 23021. What is the remainder when 6660 is divided by f?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.16 + -3.16. What is the closest to 2 in 4\/5, -0.2, o?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20686265 to the power of 1\/2, to the nearest integer?\nAnswer: 4548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, -3\/4, 3, 1\/3, -2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -20, 0 = -4*z + 3*v - 4*v - 55. Let o = z + 497. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82862042*f**2*o**3 - 2*f**2*o**2 - 714*f*o**2 - 3*f*o - 2*o + 418 wrt o?\nAnswer: 497172252*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 264246 + -1331?\nAnswer: 262615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(190)\/((sqrt(480) + sqrt(30))\/sqrt(3)) + 0.\nAnswer: sqrt(19)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, -12, 0.263, 0.3, -13\/10?\nAnswer: -13\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/3822810 and -43\/101619?\nAnswer: 80279010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2389922012?\nAnswer: 2, 6449, 92647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2046960 plus 7.941?\nAnswer: -2046952.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 198 minus -577847929?\nAnswer: 577848127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1743*d**5 - 27414*d wrt d.\nAnswer: 34860*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55468.\nAnswer: 2, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + o**2 - 1. Let p be j(0). Let r(f) = -3*f - 12*f + 4*f. Calculate r(p).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*j + 0 + 0)*(-2*j + 2*j - 3*j + (-2 + 6 - 2)*(-1 + 2*j + 1) + (-2*j + 0*j + 0*j)*(2 - 4 - 1) - 58 + 8*j + 58).\nAnswer: 75*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + 28. Let d = -27 + i. Is 8 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0589 times 222?\nAnswer: 13.0758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 6*l - 3, -4*g - 3*l = 15. Let w = 0.47 - 0.07. Let z = w - 2.4. Sort z, g, -1.\nAnswer: g, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10775 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 3*y**2 - 44*y - 15. Let q(r) = -r**2 + 15*r + 5. Let b(l) = 3*c(l) + 8*q(l). Let m(x) = x + 1. Let h(g) = b(g) + 6*m(g). Determine h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 352 - -a00?\nAnswer: 1252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(48) + 1 - (2*(sqrt(3) + 0) - sqrt(3)).\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 2432a0?\nAnswer: -243294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3273 (base 9) to base 10\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51793, 51790, 51787, 51784, 51781?\nAnswer: 51778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 8:31 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*j - 691 - 711 = 0, j = 5*z - 1770. Suppose k = 4*b + z, 2*k - 60 = -4*b + 610. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 82 = -1. Suppose -2*a = l - 29. Let j be 1\/(a\/2) - (6600007 + -5). What is j rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 6:17 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**7\/315 + r**6\/30 - 2*r**5\/45 - r**4\/6 + 5*r**3\/9 - 5*r**2 + 2*r. Determine d so that z(d) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*k + 10, 0*k - 2*k - 6 = 2*a. Let l be (-4 + 2)\/(4\/10). Which is bigger: l or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 - (7 + -35 + (28 - (44 - 22)))\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/5 - (-3)\/(-15). Solve -f*z + 17 = -3*v, v = -0*z - 4*z - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3\/2, 11537769 in increasing order.\nAnswer: -3\/2, 5, 11537769","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -p + 5*k, -6*p + 2*p + 2*k = -64. Suppose -2*s = -5*s - 3*i + p, 1 = -s + 2*i. Suppose 2*n + 3*l - 385 = 0, s*n - 4*l = 130 + 439. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56229 and -3480.9.\nAnswer: 52748.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13189 - 39563\/3. Let x = -64\/135 + 2\/27. Which is the biggest value? (a) 3 (b) y (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 84, 134, 224, 360, 548, 794?\nAnswer: 1104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 49 and 112?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-420)\/(-400) + (-6)\/(-9)*18\/10?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1042302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -8*h**2 - 4*h + 3. Let i be x(1). Suppose -9*w + 20 = -14*w. Which is the nearest to w? (a) i (b) -0.1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2\/131, -24\/11, 4.\nAnswer: -24\/11, -1, 2\/131, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -19 - -36) + -72 - 24.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95993493?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115332071233 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -12. What is the least common multiple of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -5*k**3 + 48*k**2 + 32*k + 45. Let r(s) = 2*s**3 - 15 + 285*s + 21*s**2 - 295*s - 37*s**2. Let x(u) = 8*r(u) + 3*v(u). Determine x(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 11. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, c: 3, h: 5}. Give prob of picking 1 c and 3 v.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13\/671 + -20327\/114070. Let j = a - 471\/85. What is the common denominator of j and (-6 - (-581)\/18) + 4\/18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + x + 1. Let y(s) = -12*s**2 + 18*s + 18. Determine -18*u(d) + y(d).\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4460565742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/18)\/((((-3)\/(-2))\/(-3))\/(-11))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 13, g: 6}. What is prob of sequence gghh?\nAnswer: 65\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20 from 4.8025103.\nAnswer: 24.8025103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4095468 and 182.\nAnswer: 28668276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 13*a = 1628. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112006283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(3 - (-15)\/(-6)) - -45 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1, 4, 420 in ascending order.\nAnswer: -1, 1\/6, 4, 420","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93470 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 93\/4 of a hour in seconds?\nAnswer: 83700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 219150, 438300, 657450?\n\"Answer: 219150*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + a. Calculate v(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10020101201 (base 3) to base 16\nAnswer: f8e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0387 * 2.51.\nAnswer: -0.097137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(8 - 6 + 8)*(3 - 5 - 2)*(1 - f + 3*f + f) to s + r*f and give r.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*r + 28*r + 16 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -335962 + 356842 = -345*r - 119*r for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + (-172)\/(-16) + 2\/8. Solve -26*k - 22 = -f*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -18 - 1dee11d?\nAnswer: -1dee136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -l - 5*k - 15, l - 3*k - 9 = 0. Solve 3*y + 8*q = 3*q + 10, -y - 5*q = l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b - 4 = -4*c, 5*b + 5*c - c = 4 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*k**2\/3 - 5796*k + 596640.\nAnswer: (k - 132)*(29*k - 13560)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4445*w + 1204*w + 504798 = 6375*w + 1716414 for w.\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49221623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c037c - 228?\nAnswer: -3c05a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 3:25 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gdhyuhu. Give prob of sequence yu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.31\nAnswer: -1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g. Let b(u) = -4497*u**2 + 13675*u**2 - 4468*u**2 + 16*u - 4558*u**2. What is b(v(l))?\nAnswer: 1368*l**2 + 48*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = 5*h - 232. Let o = 34 + -55. Let d = h + o. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -30.014. Let a = 56.986 + b. Let r = a - 57.000262. What is r rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**2 - 10*u + 9.\nAnswer: (u - 9)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1. What is o(11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (276\/18 - 13)*-3. Let h(z) be the second derivative of z**4\/12 + 4*z**3\/3 + 4*z**2 + 7*z. Let x be h(-6). Sort 3, s, x in descending order.\nAnswer: 3, x, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 10317*h**2 - 36. Let q(o) = -10316*o**2 + 35. Let y(a) = 3*n(a) + 4*q(a). Let m be y(-8). What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 930595 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*m - 2 + 51*m - 122*m**3.\nAnswer: -122*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 5:23 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from {u: 1, i: 1, m: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 + 3*d**2 + 4*d - 8. Let l(u) be the second derivative of -u**3\/6 + u**2\/2 + 4*u. Suppose 4 = -2*y + 2. Let n(j) = y*i(j) - 4*l(j). Give n(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = 260. Let l = j - -110. Calculate the remainder when 9 is divided by l\/6*2\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 28876732*h\/11 - 104233206374978\/11.\nAnswer: -2*(h - 7219183)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -735, -3131, -7169, -12849, -20171?\n\"Answer: -821*n**2 + 67*n + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -174\/23 less than or equal to 974?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1554184, -1554180, -1554172, -1554160, -1554144, -1554124, -1554100?\n\"Answer: 2*c**2 - 2*c - 1554184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 22 = -3*o - 4*i, 0 = 3*o + 3*i + 3. Let h be (-9)\/(-4) + o\/(-8). Solve h*l = -l + 3 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 6050058693 and 939?\nAnswer: 939","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1 and -4.6729669.\nAnswer: -3.6729669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/5941694 or 0?\nAnswer: -3\/5941694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqlc when four letters picked without replacement from {x: 2, q: 1, a: 1, c: 1, l: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5281, -0.4, -0.21, 4, 53?\nAnswer: 5281","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 2 + 1 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((1 - -2) + 1 - 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -112*v + 149*v + 2*v**5 - 9*v**5 wrt v?\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 540*j**4 - 1472*j**3 + 644*j**2 + 272*j + 16 = 0?\nAnswer: -1\/5, -2\/27, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 1\/4, -42.7, 0.1, -10\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 2. Let l be j(-3). Let q(p) = p + 2. Let i be q(-1). Put i, l, 2 in descending order.\nAnswer: 2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 0*a**2 + 0*a**2. Let w(r) = -13*r**2. Determine y(w(k)).\nAnswer: -169*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78504455?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of a**5\/270 + 34*a**4\/27 + 133*a**3\/9 - a**2 - 1930. Determine p so that x(p) = 0.\nAnswer: -133, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/3 + 572995*z**2\/3 - 27360368001*z + 27360177003.\nAnswer: -(z - 286497)**2*(z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 (base 6) in base 8?\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 7*r - 10. Let l(x) = 4*x - 7*x**2 - 1 - 5*x + 8*x**r. Give l(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -131*n**2 + 15. Let c(m) = 35*m**2 - 4. Let v(y) = -30*c(y) - 8*u(y). Let f(q) = q**2 + 854*q. What is f(v(x))?\nAnswer: 4*x**4 - 1708*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 384, -0.4, 62\/3, 2\/5 in increasing order.\nAnswer: -0.4, 2\/5, 62\/3, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -16. Let w be ((-24)\/(-2) - 2)\/2. Let f = t - w. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-6))\/(i*i**(-2)*i)*(i**(2\/7))**(-2\/55)*(i**(2\/5)*i*i\/i**7*i)**15 assuming i is positive.\nAnswer: i**(-18099\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2. Let m be ((-4)\/(-3))\/(7\/21). Suppose m = 4*r - 4. Let d(w) = 6*w + 3*w**r - 6*w. Calculate d(k(y)).\nAnswer: 3*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 30 = -4. Suppose n*c - 2 = 0, -21*y = -25*y + 2*c + 314. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 2*v**3 + 9*v**2 - 16*v - 49. Let q be b(-5). Let c(z) = -z**3 + 8*z**2 - 15*z + 37. Let g be c(q). Solve 0 = -3*m + 10 - g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-462))\/(870\/(-4785))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 15. Suppose 3*p + 13 = 5*o, 7 - 3 = -4*p. Let u(b) = 2*b**2 + 3*b**2 - 6*b**o - 6. Determine u(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 4176 = 2*d, 5*d - 10431 = 4*g. What is the remainder when d is divided by 302?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 87\/4 of a kilogram?\nAnswer: 21750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 265195290 and 1646.\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 92*w + 25.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1517 + -1528.1. Let g = -117 - -111.1. Let p = l + g. Put 0.1, -2\/7, p in descending order.\nAnswer: 0.1, -2\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 - 5*c**3 - 5*c + 8 + 2*c**3 + c**2 to the form k + b*c**2 + i*c + t*c**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**2 + 81*m - 142. What is the hundreds digit of y(-44)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.1 - 0.1. Let p = 0.2 - 3.2. Is h < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + 15. Suppose 0*v + 90 = 6*v. Suppose 3*k + 11 = -4*t + 26, -t + v = 2*k. What is the remainder when z is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**4\/12 + z**3 + 2*z**2 + z. Let c(s) = -13*s + 36. Let y be c(3). Determine o(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1283 + -0.6283. Let n be (-2 + -2)\/(-7*4\/6). What is the closest to n in 3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1216546173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 46, 51?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**3 + 5 - 5 + 2*t**2 - t)*(8 + 7 + 2).\nAnswer: 34*t**3 + 34*t**2 - 17*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.3204385 to two dps.\nAnswer: -25.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -20888, 1 in descending order.\nAnswer: 1, -1\/2, -20888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2 - -2) + -5)*8\/(-20). Solve r*z + 2 = 5*x, -2*z + 2 = 4*x - 4*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -100.0966225 and 2?\nAnswer: -200.193245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -255, -184, -125, -84, -67, -80, -129?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8975996 is divided by 170.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 125223705 divided by -78021\nAnswer: -1605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17749, 71009, 159763, 283999, 443705, 638869?\nAnswer: 869479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 36\/(-396)*(8 + -8). Solve -2333*r + 2331*r + 18 = h for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23, 20, 17, 14?\n\"Answer: -3*r + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 24 - 29)*(-l**2 + 2*l**2 + 5*l**2).\nAnswer: -210*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -229*k**2 + 543*k**2 - 207*k**2 + k**2 + 2 - 2 + (-3 + 1 + 3)*(4*k + k**2 - 4*k) + 10*k**2 - 21 + 21.\nAnswer: 119*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - 5. Let m be 4\/2 + k + 0. Let d be (-46)\/m - 16\/(-40). Solve -3*i - d*h = 10, i + 7*h = 3*h - 1 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9307a82 (base 11) in base 12?\nAnswer: -5608763","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 6. Let l = -1.9 + b. Let f = 20.9464 + -23.9464. What is the third biggest value in l, f, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 14. Let w be 1\/4 + (-5)\/20. Give g(w).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -27 - 11*t - 5*t**2 - 2*t**2 + 4*t**2. Let f be z(-11). Let y = -134 - f. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/6 and ((-572)\/195)\/((-69)\/15).\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117))**2 + sqrt(13))*-5 - ((sqrt(156)*-1)\/sqrt(12))**2.\nAnswer: -598 - 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47 - -46.967. What is f rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfrr when four letters picked without replacement from mrrrmfmr.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*(-4)\/(-3). Let l(f) = -8*f + u + 3 - 3. Let q(t) = -t. Let r(z) = l(z) - 10*q(z). Differentiate r(a) wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36725605, -36725623, -36725651, -36725689, -36725737, -36725795?\nAnswer: -36725863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 8:47 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 31446919 and 63?\nAnswer: 283022271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18855.5 + 18856. Let h = -24\/7 - -92\/35. Which is the nearest to -0.1? (a) z (b) h (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 263 = -2*m - 21*y + 16*y, -y + 34 = 44 + 41 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fq when two letters picked without replacement from {v: 4, k: 2, q: 1, f: 4}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -140\/1479 + -2\/87. What is the third smallest value in -2, m, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21, 93, 169, 249, 333?\n\"Answer: 2*u**2 + 66*u - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/3*(105\/(-14))\/(-1). Let d(m) = 3*m**3 + 13*m**2 - 7*m - 9. Let x(t) = 3*t**3 + 14*t**2 - 8*t - 9. Let n(y) = i*d(y) + 4*x(y). Factor n(s).\nAnswer: -3*(s - 1)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-39)\/(-3) + 3)*(-2)\/(-2). Let s = 82 + -34. What is the greatest common divisor of f and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*21\/(-1008))\/((-2)\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n - 2. Let g(h) = 24*h + 7. Let b(r) = g(r) + 5*m(r). Calculate b(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 24. Let f be p(8). Solve f*z = -2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 plus 8767624?\nAnswer: 8767623.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -27*j + 29*j, -2*j = 2*b - 8. Suppose c + 4*p = -6, -3*p - 8 - 1 = 3*c. Put 1, b, 5, c in ascending order.\nAnswer: b, c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddrdrddddddd. Give prob of picking 2 d.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 3:17 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11872910.9 less than 267052?\nAnswer: -11605858.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of -l**7\/21 - 437*l**4\/3 - 1123*l**3 + 306*l - 5. Find the second derivative of h(w) wrt w.\nAnswer: -40*w**3 - 3496","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4407 and 44409.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 98\/4*(-16)\/(-28). Suppose -16*j = -5*j + 396. Let z be 2\/h*-3 + j\/(-84). What is the nearest to z in 2\/11, -0.4, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1195.11 + 1200. Let g = w - -0.11. Let f = 7 + -3. Sort g, -5, f in descending order.\nAnswer: g, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10393, -12941, -15489, -18037, -20585?\nAnswer: -23133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in 5, -0.2, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -182.17 at least -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -1946*d - 883. Let s be u(-1). Is 6377\/6 less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 PM and 7:49 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**4 + 1873*d**3 - 1872*d**2 = 0. What is d?\nAnswer: 0, 1, 1872","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7047083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -w**3\/2 - 27*w**2\/2 - 7*w. Let v be z(-5). Round v to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -15*s - 1022. Let u be z(-68). Which is the closest to u? (a) 3 (b) 0.3 (c) 2\/9 (d) -2.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (11152\/(-20))\/(2\/(-20)). Let s = -2119 + o. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006 plus -49.9?\nAnswer: 956.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0, -5, -1\/3, 0.6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120925 by 37.\nAnswer: 120925\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 77 and 5103.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 67315.\nAnswer: 1\/13463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/88)\/(6\/72)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10272 by 8.\nAnswer: -1284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17319*l**4\/4 + 3567711*l**3\/4 + 93626205*l**2\/2 + 90085329*l - 15606 = 0. What is l?\nAnswer: -102, -2, 1\/5773","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 14*n**3 + 3*n**2 - 43*n + 104. Let u be t(3). What is the greatest common divisor of u and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202984?\nAnswer: 2, 25373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6239, -12465, -18691, -24917, -31143?\nAnswer: -37369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1227100 to the nearest ten thousand.\nAnswer: 1230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16, -281, -1000, -2401, -4712, -8161?\n\"Answer: -38*v**3 + v**2 - 2*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxllltp. What is prob of sequence ptl?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 18*h - 3*r = 702, 5*h = -2*r - 3562. Let i = h + 1018. Is i less than or equal to 305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 6.25. Let q = m + -0.05. Let d = -244 - -244.1. Which is the closest to d? (a) -2 (b) q (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of -2*q**2 - 5*q - 871. Give d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9985?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.5 in 4\/37, -1\/139, -48?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1170.963 meters?\nAnswer: 1170963000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 17174607?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 13*w**2 + w. Let l be x(1). What are the prime factors of (l\/4)\/7*62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.693321 + -5.\nAnswer: -4.306679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -82896 + -18.\nAnswer: -82914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10369445 to the nearest integer?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add 256 and 5413.6.\nAnswer: 5669.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 5 from -69731.\nAnswer: -69736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32.27 from 1070851180.\nAnswer: 1070851212.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 139 - 127. Suppose 0 = 7*z - b*z - 525. Let g = -112 - z. Sort g, -1, 5 in ascending order.\nAnswer: g, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*m + 1 - 46, 4*m = 2*v - 108. Is v a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-84)\/(-16))*(1 + 33\/(-6)). Suppose -5*m = 2*r - 14, -2*m + 14 = -3*r + r. Is s != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 155 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2277434?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/146608 and -141\/544544.\nAnswer: 3811808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/6*(2\/21)\/((-34)\/(-952)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pvpd when four letters picked without replacement from vcvvpccpvdpvvp?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.127 + -161.42.\nAnswer: -161.547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.09779 + -30.1. Round k to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 28*t = 135, -8*s - 38 = -2*t for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2. Let z(q) = 6263702*q**2. Calculate z(s(v)).\nAnswer: 6263702*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x + 44. Let u(m) = m. Determine u(c(i)).\nAnswer: 8*i + 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 - -37. Let x = 52779.959 + -52705. Let p = v + x. Round p to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550)*2 + sqrt(550))\/sqrt(2).\nAnswer: 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -105*k + 14508. Determine o(128).\nAnswer: 1068","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 609361861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t + 2*t + 5*t - 10*t to d + k*t and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -0.2 (c) 2\/9 (d) 0.011 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17645472 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*t - 12 = -0*n, -19 = -3*n + t. Let p = 10 - n. Put -3, p, -4, 3 in decreasing order.\nAnswer: 3, p, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -4*w - 4 + 0*w**2 + 20*w**2 - 19*w**2. Let c = 14 - 7. Give b(c).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.18, 1.15, -5, 13, 4 in ascending order.\nAnswer: -5, -0.18, 1.15, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8925 less than -936.8474127?\nAnswer: -935.9549127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24 + 26. Suppose 5 = f*b - 11. Let j be ((-225)\/(-2))\/(b\/704). What is j rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1955, -2893, -3831, -4769, -5707?\n\"Answer: -938*z - 1017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -d - 37, -5*y + 279 - 63 = -4*d. Let j = -44 - d. Suppose -4*c + j*v = -997, -c + 202 + 54 = v. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-12\/7)*p)\/p*p\/(p*p**12))**(2\/5) assuming p is positive.\nAnswer: p**(-178\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 9:17 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(288) + -1 + sqrt(288) + 0)**2.\nAnswer: -144*sqrt(2) + 1161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = 3*h + 2*a + 24, 2*h = 2*a + 4 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 152. Let x = w + -49. Let r = -1\/42 + 13\/42. Which is the closest to 0? (a) 1 (b) r (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - k - 2995, 0 = -j - 3*k + 190 + 825. Is j a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 2:34 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o - 34. Let h be g(-18). What is the second derivative of 78*c + 60*c**h - 11*c**3 - 118*c**2 + 30*c + 63*c**2 wrt c?\nAnswer: -66*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w*w*w**5*w*w)\/w))\/(w**(-3)*w))\/((w*w\/(w\/(((w*w\/(w**3\/w*w)*w)\/w)\/w)))\/(w\/(w*w**(-3))*w)) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*((-32)\/6)\/4. Suppose -i = -2*v + c*v - 223, 119 = v - i. Suppose -l + 245 - 85 = 5*t, 3*t - 3*l - v = 0. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 9*a**3 + 7*a**2 - 75*a + 134. What is u(2)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -11*z**7\/105 - 7*z**6\/60 - 85*z**5\/12 + 2*z**2 - 322*z. Find the third derivative of w(f) wrt f.\nAnswer: -528*f - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 8*i**2 - 13*i + 8. What is the hundreds digit of g(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.17, 170\/29, -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 723, 1466, 2209?\nAnswer: 2952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*g + 11 + 44. Solve -3*x = x + 2*r + 20, g*x + 25 = 5*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 2\/9, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 - -56. Solve 25 = -p*w + 5*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 - -1 - (0\/9)\/2. Solve -178 + 168 = -i*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83066310 to the nearest integer?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + 6. Let r = 37 - a. Suppose 46 + r = 2*c. Calculate the highest common factor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 11. Let j(y) = 6*y - 4. Let c be j(-8). What are the prime factors of 0\/k - c\/2?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 17*c**2 - 36*c + 47. Determine v(-19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (392 - 502 - 826)*(l - l - 2*l) to the form r*l + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 99657 divided by 4\nAnswer: 99657\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15.166 and 569.\nAnswer: 8629.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35236021 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 4*u**2 + 564*u + 10286. What is p(-19)?\nAnswer: 1014","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 65.5, 2\/3, -2, 0.4, -0.13, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31.2 - -31. Is -0.14 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -44. Let w = 93 + -110. Let c = w + j. What is the third smallest value in -0.2, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/((j\/(j**(-4)*j))\/j*j))))**(2\/27)*(j*j**(-4\/15))\/(j**(7\/3)*j) assuming j is positive.\nAnswer: j**(-127\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 304140611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 54 - 52. Solve l*b = 3*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*b - 6*b + 54*b.\nAnswer: 202*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 3:00 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -9. Let d(y) = -y + 1. Let f be d(-4). Suppose -f*i = -4*c + 51, -3*c + i + i + 40 = r. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289506*p**3 + 263382*p**3 - 495843*p**3.\nAnswer: 57045*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*j - 52*j - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/7 + 2\/7. Let w = -5 - -4.6. Let u = w + -0.1. Which is the closest to 1? (a) u (b) z (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -3*p + p + 10, 41 = 4*p + 11*i. Suppose 3*t + 5 + 19 = 0. Let m be (-84)\/(-39) - t\/(-52). Solve 5*n + 11 = -m*j, n + 2*j + 13 = -p*j for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 + b. Let h be u(1). Suppose h*g - 12 = 26. What is the remainder when 73 is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yybebe. Give prob of picking 2 b and 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*q**2 - 4 + 4 + 128*q**2 - 68*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 z, and 1 n when three letters picked without replacement from nezvnevvvm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21012 + 11?\nAnswer: 21023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 + 2 + 85 + -2 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 576911 is divided by 41195.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9, -3\/7, -18, -36\/83?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -7295, 5, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-132 + 132 + 54*d**2)*(0*d + 3*d - 2*d)*(2 - 8 - 11).\nAnswer: -918*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3796 and 468.\nAnswer: 34164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**3 - 19*q**2 - 12*q**2 + 5*q**4 - 8*q**4 wrt q?\nAnswer: -72*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 1) + 0 + 2 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4*1*(-330)\/(-15). Let w be ((-4)\/6)\/(v\/12). Sort 0.02, w, -0.13 in descending order.\nAnswer: w, 0.02, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 22*o**2 - 679*o - 127. What is s(31)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 92?\nAnswer: 8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/199517?\nAnswer: -2\/199517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + v + 4 = 2, 0 = 5*v - 10. Suppose z*d = d. Let h(i) = -i + 180000. Let n be h(d). Round n to the nearest 10000.\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 279*a**2. Let k(t) = -2*t**2. Let l(z) = -d(z) - 27*k(z). Let i(o) be the second derivative of o**4\/6 + 6*o. What is i(l(w))?\nAnswer: 101250*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -77 (base 9) to base 11\nAnswer: -64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3105012 and 25\/21.\nAnswer: 21735084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lccjydt. Give prob of picking 1 y, 1 t, and 2 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71163*m**3*t**2 + 174*m**3*t - 17*m**2*t + 3*m**2 - 2*m*t + 59*t**2 - 3*t wrt t?\nAnswer: 142326*m**3 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/18588615 and 86\/1221.\nAnswer: 204474765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1386 and 3238?\nAnswer: 2243934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-1) + 1\/6. Let g = -91 + 93. Which is the biggest value? (a) g (b) 4\/5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23269 = -656*r - 447*r + 52838 for r.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -17*i + 121. Let m be g(7). Let f(u) = 208*u - 16. What is the units digit of f(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 2089296 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.163 and 0.1.\nAnswer: -0.0163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -0.1, 86?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x**2 - 2*x + 2533. Let g be y(0). What is the derivative of -g*u - 36*u**2 + 13 + 2533*u wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 4*r**2 - r + 5. Suppose 0 = -6*m + 4*m + 10. Suppose -2*a = 13 - m. Give c(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (42\/(-28))\/((-3)\/8). Solve 2*v - 7 = -2*r + 11, -2*r - 12 = -z*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -108446100 to the nearest one hundred thousand.\nAnswer: -108400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -260, -544, -808, -1052, -1276, -1480, -1664?\n\"Answer: 10*p**2 - 314*p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 1. Let f(r) = 140*r. What is -f(i) - 2*h(i)?\nAnswer: -140*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 77493.\nAnswer: 38746.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 141*d + 11. Let p be g(-3). Let f = 421 + p. Is f at most 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - r - r + 6 = 0, -2*g = 3*r - 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15 - -14.7. Let a = -0.2 + v. What is the smallest value in -1\/4, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-260)\/50)\/(-13)*(-8)\/160*25?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 49, 92, 151, 226, 317?\nAnswer: 424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 + 305\/140 + -3\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-4\/5))**46\/((l*l**(-4))\/(l\/l**(-27))) assuming l is positive.\nAnswer: l**(569\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -2\/15, 2, -0.4, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) -6 (c) -0.6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 5*f - 6*f**2 + 0*f**2 + 0 + 1 + 1. Suppose -5*r = 4*o - 64, r + o = 4*o + 9. What is the smallest common multiple of r and m(-7)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*b = -3, 733 = 3*j - 2*b + 731 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 8*i**2 + 2*i - 26. What is the remainder when h(-5) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from vvvkvk?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4933 by -3.\nAnswer: 4933\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -2*r + 2*m, -6*m + 8 = -2*r - 2*m for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -66, -4, 81939 in increasing order.\nAnswer: -66, -4, 81939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/14 + (-2385)\/35. Let j = 746\/11 + k. Let t be (-135)\/90 + (-42)\/(-20). Put j, t, 1\/3, 5\/6 in descending order.\nAnswer: 5\/6, t, 1\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 3.9. Let z(b) = b - 4. Suppose -6*l - 13 = -31. Let f be z(l). What is the closest to f in n, 0.4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-2) + (-4)\/(-4). Let s be q + (0\/(-2) - -2). Suppose -2*r = n - 1519996, -3*n = -s*r - 0*n + 2280012. Round r to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16268 and 1764.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3108, -3107, -3106?\n\"Answer: i - 3109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000010 + -1010101010?\nAnswer: -1001101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13914 is divided by 2768?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2. Let j(k) = -k**2 - 26*k + 39. Let x(b) = j(b) - 4*l(b). Let t be x(-27). Calculate the highest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*p - 10327 = 3401. Suppose p = -13*f + 650. Solve 5*q + 21 = -4*m + f*q, -15 = 3*m + 2*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17136800, -17136801, -17136802, -17136803, -17136804, -17136805?\n\"Answer: -r - 17136799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3170 - -2834. Is 158 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.381087434 to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 + 4*s**2 + 6*s. Let b be m(5). Suppose -w + 4 = w. Solve q - 22 = w*q + 5*x, -10 = -b*q + 5*x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -202, -0.18, -5, 3, -1\/6, 6 in descending order.\nAnswer: 6, 3, -1\/6, -0.18, -5, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67 + 81. Suppose 3*s = -4*m + n - 42, 5*s + 24 = -m. Calculate the common denominator of (-154)\/70*(-5)\/m and 89\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2 + 11*m + 55. Let f(z) = -z**2 + 3*z + 15. Let k(q) = -22*f(q) + 6*y(q). Let w(x) = x + 2*x - 2*x. What is w(k(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5743781 and 454.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1313, -2\/9, -4, -0.3, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 286 = 6*l + 5*l. Suppose l*c - 33*c = -1120. Is c a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 14*j + 16. Let m be u(-13). Which is the third smallest value? (a) 0.5 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 212973 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 1)*(-3 + 211*b + 57*b - 12*b) to the form h + c*b and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c + 13. Let z be w(-7). Let b be -1 + 5 + (-2 - -2). Suppose 2*v - 3 = -3*s, 0*s = 3*s - b*v + 15. Is s equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*v**3 - 1 - 8 + 4047*v**2 - 4047*v**2.\nAnswer: 13*v**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641543213 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b. Let y(z) be the first derivative of -4*z**2 + 6. Give y(v(f)).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 11717*o - 2. Let n be m(6). Suppose 6*u - 2*u = n. Suppose 4*y + 3*d - u = 0, -3*y + 0*y + 13177 = -2*d. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 261*b + 1311. What is m(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*y - 16 = -29*y. Calculate the remainder when y is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*b - 74 = 0, -2*b = 4*w - 3*w + 51. Let m = w + 16. Which is greater: -26 or m?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1390 + 4259. What is the thousands digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 57546*s - 57541*s - 65 for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s = 4 + 48 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 20*s**2 + 23*s + 17. Let y = -14 + 33. What is the tens digit of n(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 3, -2, 0, 212 in ascending order.\nAnswer: -2, 0, 3, 38, 212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooiofmfoooof. Give prob of picking 1 f and 3 o.\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 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: Let n(v) = -v**2 - 19*v - 4. What is the remainder when 39 is divided by n(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 703*j - 12644. What is v(18)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(320) + (sqrt(320) - (-1 + sqrt(320))**2) + -1) - (-3 + (1 + sqrt(320))**2 + -1)) + -1)*-6 + -4 + 3.\nAnswer: -9685 + 1248*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17206.8l to millilitres.\nAnswer: 17206800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/2161, 0.0185, 0.4 in descending order.\nAnswer: 0.4, 0.0185, 2\/2161, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + 238*m**2 + 3*m + 40*m**2 - 550*m**2 + 257*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -868 at least as big as -25150\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/25 of a kilogram in grams?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1120203033 + 23?\nAnswer: -1120203010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3)*-17 - 4\/6)\/((-933570)\/(-5412)).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/5 - 84*a**3 + 4410*a**2 - 102900*a + 900375.\nAnswer: 3*(a - 35)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46 + 99 + 13*w**3 - 10*w - 53 - 29*w**3 - 3*w**3.\nAnswer: -19*w**3 - 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes after 9:17 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p**2. Let y(k) be the second derivative of 1\/6*k**4 + 0*k**3 + 0 + 3*k + 0*k**2. Calculate y(o(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165 + 16*m + 266*m - 296 + 463.\nAnswer: 282*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5401 divided by 49939\nAnswer: -5401\/49939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p = 0. Let z = 6 + -5. Let a(h) = -h**3 + h - 1. Let s(n) = 7*n**3 + n**2 - 7*n + 9. Let l(c) = z*s(c) + 6*a(c). Determine l(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 9*b**2 - 9*b - 8. Let w be q(-8). Let y(v) = v + 4045853. Let r be y(w). Suppose 3*k + 745853 = r. Round k to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -i*q*t**3 + 222*i*q - 33*q*t**2 - 3*t**3 wrt t?\nAnswer: -3*i*q*t**2 - 66*q*t - 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dzzzzzzzizid. Give prob of picking 3 z.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 3*u**2 - 60*u - 18. Let n be h(20). Calculate the highest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -372611*n**2 + 5*n. Let d(t) = 22*t**2. Give p(d(u)).\nAnswer: -180343724*u**4 + 110*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4426792 by -4.\nAnswer: 1106698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000677404 rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -243.786 + 244. Let h = -0.21 + a. What is h rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20298 - -20297.8000064. Let w = 0.2 + q. What is w rounded to 6 dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -434 less than -435?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -3*w**2 - 6*w - 1\/3*w**3 + 2. Let q be n(-4). Do q and -0.1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (6 - -1 - 17) - ((-6 - -104) + 5)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16787 = 51657. Let k = -17123 - b. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1258.31 + 1271. Is 0.1 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q**3 - 2*q**2 - 6*q - 9. Let l(h) = -5*h**3 + h**2 + 3*h + 4. What is 9*l(g) + 4*r(g)?\nAnswer: -g**3 + g**2 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1140 is divided by 76?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1712 + 1711. Which is bigger: -5\/766 or o?\nAnswer: -5\/766","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 135 = -9*m - 26*m. Solve -5*p - 5 = -5*a, -95*a - m*p = -90*a - 45 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12663071\/163599310 - -5\/123007. What is the common denominator of -85\/266 and w?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 at most as big as 122?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86*h**5 - 15125 + 15125 + 59*h**5 + 263*h**2 wrt h.\nAnswer: 8700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1625 divided by 13?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*-12*6\/(-48))\/(1\/(-1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10664661 is divided by 86004.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = 2*r, s + 2 = -5*r - 11. Factor -h**s + 1\/4 - 3\/4*h.\nAnswer: -(h + 1)*(4*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 2)*(-j - 1 + 1)*(-12*j + 0*j + 3*j) as w + g*j**2 + p*j and give g.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6107 - 6103. Solve c*z = -3*t - 4, 2*t + 3 - 5 = 2*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m + 2*m + 5 - 3*m + 3*m. Let h be p(4). Suppose -l - 2*z + h = 0, 4 = -2*l - 2*z + 42. Solve -6 + l = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**6*(t*t**(19\/2))\/t*t)**(-2\/29) assuming t is positive.\nAnswer: t**(-35\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 - 419 = -21*y. What is the nearest to y in 0, -7, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -227192.12.\nAnswer: -22719.212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2, 56, 162, 320?\n\"Answer: 26*p**2 - 24*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*q - 47*q - 59*q)*(q - 5 + 5) + (-2*q - 9 + 9)*(0*q + 0*q + 2*q) as r*q**2 + d*q + f and give r.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 39. Suppose -p*c + 36 = -c + 2*b, -2*c - b + 15 = 0. What is the least common multiple of c and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 377 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2.7 (b) 1.58 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.6929 * -0.42\nAnswer: 0.291018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 92597117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-809154\nAnswer: -809153.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (26 + -16 - 24) + 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16232, 16229, 16224, 16217?\nAnswer: 16208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 2. Let j be n(8). Calculate the common denominator of (38\/(-28))\/(17\/34) and ((-78)\/(-8))\/((-15)\/j).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 + 3*x + 5. Suppose -2*l - 9*u = -14*u + 19, 3*l - 3*u + 6 = 0. Let g(f) = 2*f**2 + 2*f + 3. Give l*z(d) - 5*g(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -358\/13 in 0.5, 0, -1\/49?\nAnswer: -1\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*o + 12, -2*o + 28 = 9*x - 4*x. Which is bigger: 3 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20736987 is divided by 4660.\nAnswer: 4647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 151597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 5*l = -4, -4*l = 3*w - 0*w - 12. Solve -w*h + 3*k + 9 = -6*h, -3 = 4*h + k for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 616153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.8 and 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 13280.37463 to 0 decimal places.\nAnswer: 13280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.4, -8.4023.\nAnswer: -8.4023, -0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 2 + 20 = 0. What is the smallest common multiple of j and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95 (base 11) to base 7.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3616 a factor of 249209922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 576.1262 decades?\nAnswer: 5.761262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15787 = -31*o + 65464. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-17)\/(-8)*2)\/((-723)\/1446)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (0 + -2 + (-43 - -46)) - -6.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 576\/216*(-3)\/(-124).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -272*p + 266*p + 48 = 0 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4 + -32)*5\/(-4). Let w = c + -14. What is the remainder when w is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2088\/1512 - 8\/(-6) and 21\/79.\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 21 = -4*h, 9*h - 22 = 4*h - 3*r. Let m be ((-716)\/10)\/(h\/(-75)). Is 4\/(-6) - m\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/25? (a) -3 (b) -4 (c) 157 (d) 74 (e) -6\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10000 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3868 is divided by 794?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 9:29 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13424287190 rounded to the nearest 100000?\nAnswer: 13424300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -31*f**2 - 248*f - 124. Let g(s) = 2*s + 1. Let j(n) = -c(n) - 124*g(n). Let a(b) = 0*b + 67 - b - 67. Determine a(j(x)).\nAnswer: -31*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 502?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 8. Let w(a) = 5*a**2 - 20*a**x + 6*a**2 + 12*a**2. Let l(i) = 2*i. Determine l(w(k)).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 604827*m. Let k(v) = -2*v**2. What is a(k(y))?\nAnswer: -1209654*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-6)\/((-4)\/4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32704913 is divided by 3617?\nAnswer: 3616","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 - 4*l + 4. Let n(h) = -h**2 - h + 1. Determine -6*n(g) + 2*q(g).\nAnswer: -4*g**2 - 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4839997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21545, 172352, 581693, 1378838, 2693057, 4653620, 7389797?\n\"Answer: 21545*t**3 - 3*t**2 + t + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -126, -4\/5, 3, 2\/19, 3\/8, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704) - sqrt(88)\/(sqrt(8)*-2)) + -4 - (-2 + (sqrt(11) - (sqrt(11) - (-1 + sqrt(1100) - sqrt(1100)) - sqrt(11)))*-3).\nAnswer: -6 + 23*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120201101220 (base 3) to base 13.\nAnswer: -aaa93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -2 - 1 - -9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 4*f**2 - 4*f - 1. Let r(q) = q**2 - 6*q - 2. Let z(t) = -p(t) + 3*r(t). Calculate z(-6).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -186*k**4 - 139*k + 59418.\nAnswer: -744*k**3 - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -864446, -864394, -864256, -863990, -863554, -862906, -862004, -860806?\n\"Answer: 7*r**3 + r**2 - 864454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33017666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(11)*2 + -3 - (sqrt(704) - (sqrt(704) + 0)**2)*-6.\nAnswer: -4227 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 1:27 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q + 3. Let l = 8 + -3. Let c(p) = 3*p - 4. Let h(m) = l*c(m) + 6*s(m). What is the units digit of h(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m**2 - 419*m + 8207. Give y(20).\nAnswer: -973","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/5)\/s)**43*((s\/s**1)\/s)**(7\/10)*(s**(1\/5)\/((s*s*s*s\/(s**7*s)*s)\/s))**48 assuming s is positive.\nAnswer: s**(1751\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 230167375 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-4) - 54\/(-8). Let q(v) = -v**2 + v. Let j(w) be the second derivative of w**4\/6 - 5*w**3\/3 + 7*w**2\/2 - 12*w. Let k(s) = j(s) + q(s). Give k(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**3\/3 - f**2\/2 - 36743. Let g(h) = -4*h**2 - 4*h. Let w = -4 + 2. Let d be -7 - 2\/2*w. Give d*l(q) + g(q).\nAnswer: q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3447473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113663 = 138*c - 290921 - 1054628. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -467, -468, -469, -470?\n\"Answer: -j - 466","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*m*o**3 - 9*m*o**2 - 2*o**2 wrt o?\nAnswer: -420*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 428*x**2 - 214*x - 1292. Is 10 a factor of g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(176))*1 + 5 + (3*((sqrt(539)*-1 + sqrt(539))*-4 + -1))**2.\nAnswer: 4*sqrt(11) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 5*w + 2. Let j be p(4). Solve 2 = 4*v - j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35\/774 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-47909)\/(-230) + 1\/(-2). Let l = -209 + w. What is the common denominator of l and 85\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2484.9 - 2485. Let t = 61 + -57. Which is the nearest to -1? (a) t (b) p (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 543853?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/4629091 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38659833.\nAnswer: 3, 4295537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j + 5*m - 1, -25*j + 7 = -28*j - m for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**11\/332640 + o**10\/50400 - o**9\/30240 - o**5\/30 - 3*o**2. Let k(g) be the third derivative of v(g). Solve k(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 1. Let h(i) = 3*i**2 - 2*i + 6. What is h(n) - 3*p(n)?\nAnswer: 3*n**2 - 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/1925 and 26\/875.\nAnswer: 9625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3 = -b, -3*b + 2*u + 42 = -3*u. Sort b, 5, -34.\nAnswer: -34, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 199, -342, 1, 3, 0.02 in ascending order.\nAnswer: -342, 0.02, 1, 3, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 9*p - 6. Calculate x(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -27.99999982. Round a to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*m**2 - 2*m**4 - 2 + 6*m**2 - 18*m**2 - 4*m as t*m**4 + g*m**2 + l*m + f + k*m**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -66. What is the remainder when v is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4034.6 - -4035. What is the third biggest value in b, -210, 0.24?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 PM and 12:39 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 4. Let g = 65022 + -25033537\/385. Let u = 2\/77 - g. What is the nearest to 0 in 1\/9, u, q?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2*a - 26 = 0, 5 = -2*w + 2*a - 13. Let y be ((-198)\/(-15))\/(w\/(-10)). Let c = 56 - y. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9100424?\nAnswer: 2, 1137553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100\/3*d**3 + 0 + 0*d + 0*d**2 + 20\/3*d**4 - 1\/3*d**5.\nAnswer: -d**3*(d - 10)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11689 + 3087 = 506*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 + 1347 = 17*a. Which is smaller: a or -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 316686556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 1. Let l(o) = o + 2. Let t(y) = 3 + 2*y + 3 - 2 - 1. Let c(w) = -5*l(w) + 4*t(w). Calculate -c(k) - 2*d(k).\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*v + 156 = 34*v + 36*v for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*j**2 - j**2 + 0*j**2)*(0 - 4 + 6) - 5*j**2 + 5*j**2 + j**2)*(-1 + 1 + 2*j)*(6 - 4 - 4).\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64657?\nAnswer: 19, 41, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-17)\/(17\/(-20)))\/(2\/1). Suppose -22 = -q*h - 82. Let z = -13 + 12.6. Sort z, h, 5 in increasing order.\nAnswer: h, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 276 - 166.2. Let b = 147 - x. What is b rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (3 - 4))*1. Suppose -d + 43 = 5*z, 2*d + 1 = 5*z - 33. Let q(f) = -12*f + 8. Let k(n) = -n + 1. Determine g*q(p) + z*k(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*2\/2)\/(20\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from qfqqf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*c + 8, 5*m + 13 - 3 = -3*c. Suppose -12 + 13 = -a - n, 0 = -3*a + 3*n - 21. Sort m, a, -8 in decreasing order.\nAnswer: m, a, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99462430997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33764746.\nAnswer: 2, 137, 123229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i. Let v(m) be the second derivative of -m**4\/6 - 13*m**3\/6 - 57*m. Determine u(v(j)).\nAnswer: 6*j**2 + 39*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1661?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7\/29825 or 0?\nAnswer: 7\/29825","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 10. Let m(i) = i**3 + 13*i**2 - 68*i - 415. Calculate the remainder when m(7) is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 62 = 3*z, -5*q - 39 = 3*z - 77. Let g(j) = -j**3 - 4*j**2 - 4*j - 4. Let r be g(-3). Sort q, -2, r, -4.\nAnswer: -4, -2, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 449974*p - 349*p**2 + 449974*p)*(-p + p - 3*p**3).\nAnswer: 1047*p**5 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1332670, 5330699, 11994074, 21322789, 33316838, 47976215?\nAnswer: 65300914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/6 + (-7)\/15. Let y = 44.433 - 26.433. Put l, y, 2, -4 in ascending order.\nAnswer: -4, l, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2396*i = 2364*i + 89056. What is the greatest common factor of 121 and i?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.335808 decades in millennia?\nAnswer: 0.05335808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 7*n - 8 = -6*n, -12 = -5*u + n + 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 464 + 134 + 136 - 6*s + 194 + 0*s.\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001756 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(7\/3)*j**(-1\/7)*j\/(j*j**(-16))*j**(-13) assuming j is positive.\nAnswer: j**(53\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6901? (a) -3 (b) -5 (c) 0.5 (d) -0.1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -225 - -206.8. Let t = -17.888 + -0.112. Let z = k - t. What is the biggest value in z, 9, -2\/13?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 325 in decreasing order.\nAnswer: 325, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 40. Solve -v + i = -1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14.8 * -1.47\nAnswer: -21.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*3\/36*4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9) - 115\/(-15). Suppose 2 = -3*k + s. Solve -4 = -4*i + k*o, 4*o - 3 = 4*i + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of 0 - 5\/6*d**4 + 0*d**3 + 0*d**2 + 6*d. Let m(x) be the second derivative of -x**4\/12 - x. Determine m(t(h)).\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*i - 2993 - 2083 - 1792 = 0 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2750 at most as big as -102582?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-3 + (17 - 10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(165\/20))\/((-3)\/9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**2 + 3*q - 31. Let n(h) = -13*h**2 + 5*h - 62. What is -7*g(i) + 4*n(i)?\nAnswer: -3*i**2 - i - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 536469 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*j**2 + 18*j - 1291.\nAnswer: 44*j + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10793, -21584, -32375, -43166?\nAnswer: -53957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/38955785 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2*c**2 - 3)*(-12 - 3 - 105) to the form d + w*c**2 + s*c and give w.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170\/9 + 19. Which is the biggest value? (a) -4\/7 (b) 3\/8 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 266909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -255, -571, -1023, -1617?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -285120 divided by 480\nAnswer: -594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 31, 0.058, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6866 - 4046. What is r rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 943.6775 nanometers?\nAnswer: 0.9436775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1532*((-72)\/(-80) + (-6)\/15). Let o = -662 - k. What is the highest common divisor of o and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/23 and -2\/345.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 15\/7 (b) -4 (c) -17 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - w + 137, -2*w + 79 + 60 = -z. Let n be (-12 - z\/10) + (-3)\/(-2). Solve n*s + 32 = 4*g, 3*s - g + 17 = -0*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28820 a multiple of 131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - x - 1. Let l be b(2). Let w = 4 + l. List the prime factors of ((30\/w)\/2)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 32*j - 95. Let q be m(-35). Solve -5*p - 4*c - q = -0*p, p + 8 = -2*c for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*c = 1398*c + 25486 - 77318 for c.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 t, and 1 e when three letters picked without replacement from {e: 4, l: 2, i: 6, h: 1, s: 3, t: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 369*b + 7017. Let q be y(-19). What is the closest to 0.1 in q, 10, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 31767.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - 187316*a**3 + 1 + 187283*a**3 + a**2 + 0*a**2 to t + h*a**3 + y*a + u*a**2 and give h.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 9 (b) -2 (c) 10 (d) 0.4 (e) 0.82 (f) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3000, 49\/16 in descending order.\nAnswer: 49\/16, 0.2, -3000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -26 (b) 1\/2 (c) -0.2 (d) -3 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - 21. Suppose v + c*v = 2. Suppose 5*o = 5*j - 23 - v, 0 = o + 4*j - 20. Solve -5 = h - o for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -n**4\/6 - n. Let v(d) = -13*d**2 + 10*d**2 + 4*d**2 + 13*d**2. Determine x(v(h)).\nAnswer: -392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/3*3*2. Suppose -8 + 112 = g*r. Suppose 29 = 3*n - k, -5*n + 19 = 5*k - 16. What is the remainder when r is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivzzzziizziivz. Give prob of picking 1 v and 2 z.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 149*q + 1 - 928*q + 3 - 283*q.\nAnswer: -1360*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.25583217 to 2 dps.\nAnswer: -5.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31185, 62267, 93353, 124443?\nAnswer: 155537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -3*q**3 + 57*q**2 - 102*q = 0.\nAnswer: 0, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q. Let u(s) be the second derivative of 26*s**3 + 2245*s. Give u(o(p)).\nAnswer: 468*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 640 and 2400.\nAnswer: 9600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 + 0*h**2 - 2*h**2)*(122 + 38*h - 122)*(-53 - 2 + 13).\nAnswer: -1596*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, a: 1, p: 2}. Give prob of picking 1 p and 1 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -114*w**3 - 255*w**2 - 561*w - 255. Let q(p) = 7*p**3 + 16*p**2 + 35*p + 16. Let r(j) = -33*q(j) - 2*t(j). Factor r(z).\nAnswer: -3*(z + 1)*(z + 2)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5966*p + 8091*p - 1230651 = -11801*p + 92319 for p.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 c when four letters picked without replacement from jvvjjch?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 6 = -3*k + 12, 4*k = 2*n + 8. What is the closest to n in 2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6880524, -13761071, -20641618?\nAnswer: -27522165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3) + (9 - 3) + (-72 - 56)?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9031 - -8915. Put q, 1, -16 in decreasing order.\nAnswer: 1, -16, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -721607 = -4*i + 3*o - 54480, 5*i = -6*o + 833899. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23883 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/50 and 61\/544492.\nAnswer: 13612300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 23\/4 - (-4)\/16. Find the common denominator of 4 + -5 + (-98)\/y and 47\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -18*u**3 + 61539*u**2 + 71859*u - 133380 = 0.\nAnswer: -13\/6, 1, 3420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 55545240 to the nearest integer?\nAnswer: 7453","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 4, -858525, -2, 0 in increasing order.\nAnswer: -858525, -6, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 53. Suppose -2*t = i*d - 116, 5*d - 44 - 267 = 2*t. Suppose 4*m + d = 205. Is m a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*r + 3*y, 4*r - 2*y - 22 = 2*r. Suppose 4*x + 25 = -r. What is the units digit of (-2)\/(x\/12) - -25?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 8:30 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 22 - 2)*(0*g + 2*g - 3*g)*(3*g**3 + 3*g**3 + 5*g**3) in the form r*g**3 + b*g + i*g**4 + z*g**2 + q and give i.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10093923*i**3*y**2 + 440*i**2*y**2 + 318*i**2 + 1 wrt i.\nAnswer: 60563538*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -1193*w**7\/42 + 43*w**3\/3 + 6*w**2 - 528*w. Find the second derivative of z(k) wrt k.\nAnswer: -23860*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 14853*w + 2. Let c(g) = 8*g**2 + 1. Determine a(c(j)).\nAnswer: 118824*j**2 + 14855","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3071298.12 and -1505708.\nAnswer: 1565590.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2980*s**2*x - 1935*s**2 - 182*x - 66 wrt x.\nAnswer: -2980*s**2 - 182","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-96)\/28) - -1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + 30. Let g(t) be the third derivative of 1\/120*t**6 + 0*t - 1\/24*t**4 + 1\/90*t**x + 0 + 2*t**2 - 1\/9*t**3. Factor g(n).\nAnswer: (n - 1)*(n + 1)*(3*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, -1, 14161.\nAnswer: -1, 5, 16, 14161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 276?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14385106.\nAnswer: 2, 7192553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 4*n + 9, -y + 322*n = 321*n - 6. Solve -3*g - k - 11 = 0, 0 = y*g + k + 12 + 3 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/6 and 34\/(-24)*-1 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -989*w - 207. Let d(l) = 19*l + 4. Let a = 2856 + -2852. Give a*y(g) + 207*d(g).\nAnswer: -23*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, 9, 56, 103, 150, 197?\nAnswer: 244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 9\/10 of a microgram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 630002 and 228.\nAnswer: 3780012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 6:07 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 231?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1941 - -1952. Solve 11*y + 22 = -h*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -18*a + 180. What is the smallest common multiple of 4 and a?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 50*b + 1212. Calculate n(-26).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 285 - 202. Let j = -2842 - -2870. What is the remainder when q is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/98*8\/794. Let j = 102847\/33348 + r. What is the common denominator of -11\/3 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 457207?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o*o**0))\/o)*o)**(-35)\/(o**6\/(o**(-3)\/o)))**(1\/9) assuming o is positive.\nAnswer: o**(-115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 11*x - 4. What is the remainder when d(4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11485784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1385 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 45057 + 60?\nAnswer: 45117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -5*t + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6 = 2*o. Let s(n) = -2*n**2 + 27*n - 8. Let x be s(13). Let l(f) = -3*f**2 - 4 + o*f**2 + x + 6*f. Let d(a) = -2*a. Calculate -5*d(q) - 2*l(q).\nAnswer: 2*q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2124, -2188, -2252, -2316?\n\"Answer: -64*h - 2060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*c + 9*c + 16 = 0, 3*z + 3*c - 9 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7668 and 852.\nAnswer: 7668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (-495)\/60*56\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 819291 and 1171383?\nAnswer: 6771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*g - 193*g + 4893 = 0. Let l = -1021 - g. What is l rounded to the nearest 10?\nAnswer: -320","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10277974 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + 1*(2696 + 2). Round h to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4509 - 4446. Calculate the remainder when 622 is divided by q.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/(w*w*w**(2\/11)*w))*w)\/((w\/(w\/((w*(((w*w**(-7))\/w)\/w)\/w)\/w)))\/w))**24)**7 assuming w is positive.\nAnswer: w**(26208\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + 0*r + 2*r)*(120*r - 1 - 61*r + 257*r)*(-3*r**2 + r**2 + 0*r**2).\nAnswer: -632*r**4 + 2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 53 (b) 3 (c) -1567.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. Let a(d) = -d**b - 3*d**2 + 3*d**2. Let o(p) = -4*p**2. Let c(i) = -i**2. Let t(x) = 22*c(x) - 6*o(x). What is a(t(f))?\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 2, 42\/11, -5, 1\/2, -2?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 + 2*n**3 + 2*n**3)*(-17 - 15 + 15)*(1 + 3 + 0)*(3 - 2 + 2).\nAnswer: -408*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -796 divided by 1.\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**4 + 419614*x**3 - 29346264570*x**2 + 684149464801450*x - 1368181547901500 = 0. What is x?\nAnswer: 2, 69935","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -2 - (-57 + -6). Let w be n\/(-20)*(-5)\/2. Solve -2*s + 0*s = w for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.2, 0.5, -0.5, -1865?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1071898 and 2661264.\nAnswer: 77176656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 0*o - o - 21, -z = 5*o + 21. Solve -5*m - 16 = z*g - 9*m, 0 = g - 5*m + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010110100011 - -111000?\nAnswer: 101101010111011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1916125016?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9865 - 1646*p**4 + 1648*p**4 - 1653 + 2*p to i*p + s*p**2 + r + n*p**4 + c*p**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/20*1\/(-3)*(-75)\/(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -217096\/5 - -43637. Let n = -36631\/170 + i. Calculate the common denominator of n and -71\/6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (1 - 3) - (-232 - -187).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47161 is divided by 530?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -11. Suppose -3*y + 56 = 44. What is the remainder when s is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 2*v**2 - 19. Let w(a) = -3*a**3 - 5*a**2 - 39. Suppose 51*g - 2*b + 25 = 54*g, -2*b + 10 = 0. Determine g*t(q) - 2*w(q).\nAnswer: q**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/9 + 2*v**3\/9 + 8*v**2\/9 - 8*v\/9.\nAnswer: -2*v*(v - 2)*(v - 1)*(v + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 + 888*w**3\/7 + 1359*w**2 + 378*w.\nAnswer: 3*w*(w + 21)**2*(7*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20216606.\nAnswer: 2, 10108303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5060801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 8*m - 3. What is f(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, i: 3, r: 2, l: 2}. What is prob of picking 2 b and 1 l?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let u = -1654 + 1654. Let d(q) be the third derivative of 0*q + 0 + q**2 + u*q**3 - 1\/2*q**4. Determine d(v(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3754983 and 7?\nAnswer: -26284881","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) + 2)**2 - ((0 + sqrt(17) - sqrt(17)) + -3).\nAnswer: 36*sqrt(17) + 1384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w**3 - 1 - 1 - 4*w**3 to the form c + m*w + f*w**3 + i*w**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -24*i**3 - 24*i**2 + 14*i. Let d(b) be the third derivative of b**6\/24 + b**5\/12 - b**4\/8 + b**2. What is 14*d(k) + 3*n(k)?\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 760 + 3?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*k = -22. Find the third derivative of 0*q**2 - 3*q**2 + 24*q**5 - k*q**5 - 2*q**2 wrt q.\nAnswer: 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 2*i. Let g(z) = z**3 - 17*z**2 - 6*z. What is g(p) - 3*n(p)?\nAnswer: p**3 - 14*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 240048 - -2?\nAnswer: 24004a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3862 = -10*n - 198. Let a be ((-12)\/(-7))\/(-1)*n\/87. What is the third derivative of 0*f**2 + 4*f**2 - 2*f + f**3 - 15*f - 32*f**5 + a*f wrt f?\nAnswer: -1920*f**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-9 + 10) - -12) + 0 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - c)*(c + 0*c - 3*c)*(16 - 7 + 23)*(1500*c**3 - 3009*c**3 + 1472*c**3).\nAnswer: -2368*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(5200))*3 + sqrt(5200))**2 - (sqrt(5200) + (sqrt(5200) - 3*(1*sqrt(5200))**2)).\nAnswer: 440*sqrt(13) + 98809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0*v = -5*v - 1878853, -j - 939432 = -3*v. Let l = 309429 + j. What is l rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -93, -53, 21, 135, 295, 507, 777, 1111?\n\"Answer: g**3 + 11*g**2 - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -117*b**3 - 433?\nAnswer: -351*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 120557220 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 PM and 5:38 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 5*v**2 - 2*v**2)*(v - v + 2*v) + (-35*v**2 - 590*v + 590*v)*(1 - 1 - v).\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 1. Let h(u) = -19*u**3 - 2*u + 3. Let x(a) = -h(a) + 3*r(a). Is 9 a factor of x(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:27 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (2 - 9 - (7 - 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*i = -207*i - 34529 for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-48)*w\/(w\/(w*w**(-1\/12)))*w**4*w*w**10)**(1\/17) assuming w is positive.\nAnswer: w**(-385\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 111212 (base 3) in base 11?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 48*(230\/20 - 11). Solve -s = -50*i + 38*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 2. Suppose z = 2*z + d. Let w be 1*(-3 - z) - 4. Sort w, -3, 0, -4 in descending order.\nAnswer: 0, -3, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(9\/2))\/h**(4\/3))**41)**46 assuming h is positive.\nAnswer: h**(-27347\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + n - 6 = 0, -h + 3 = -0*n - 4*n. Suppose h*p - 2*p = 4. Solve p*l + 8 = -4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 77 + 336?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.187 - -0.187. Let w = y + 13.8. Which is smaller: 0.7 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -385.\nAnswer: 6\/385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -61*s - 4032. Let t be u(-66). Let j(p) = 7*p**3 + 12*p**2 - 6. Let v(c) = c**3 - c**2 - 1. What is t*v(d) + j(d)?\nAnswer: d**3 + 18*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -197652674607\/46630694 - 10\/2119577. Let c = t - -4237. Calculate the common denominator of 6\/27 + (-433)\/(-198) and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 277 - 282. What is the closest to 0 in -3, 4, l, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 177 - 189 = 4*h + z, -2*h - 42 = 2*z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 - y**2 - y - 3. Let t be d(0). Let l be t\/(-9)*-4*3. Is -3 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from mmyuzayu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3 - 2576*u**2 - 106498*u + 342624 = 0. Calculate u.\nAnswer: -43, 3, 1328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*h + 2*h**3 + 3*h**3 + 6*h**2 - h**2 - 3*h**2 as o + s*h**3 + r*h**2 + m*h and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 720*i**4 + 11860*i**2 wrt i.\nAnswer: 17280*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 12:14 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k + 8. Let o(b) = -b**3 - 5*b**2 - 2*b + 2. Let h be o(-2). Calculate r(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6646352353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + w - 30 = 0. Suppose 0*i = 5*i - w. Let q be 4 + -2 + i - 803. What is q rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c - 3070 = 280*c - 8869 - 28103 for c.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 times 25?\nAnswer: 7750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3008137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11327.19888 to the nearest ten.\nAnswer: 11330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52*j**2 - 168*j.\nAnswer: 4*j*(13*j - 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12, -99, -218, -345, -456, -527, -534, -453?\n\"Answer: 4*w**3 - 40*w**2 + 5*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 6:19 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -62081510*v - 17830753 wrt v.\nAnswer: -62081510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12.369 - 12.569. What is the nearest to 0.1 in i, -97, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42113209 divided by 268237\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 + 19*y - 19. Let v be i(8). Let b(n) = 2*n**2 - n - 1. Let w be b(-3). Suppose -d + v*d = w. Solve 3*c = -a, c = -c - d*a + 13 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j - 3*j + 7*j. Let d(i) = -i. Calculate t(d(p)).\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 358 or 485?\nAnswer: 358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/24)*w*w**(-21)\/w*w)\/(w**(-8\/5)\/(w*w\/w**(7\/4))))**(-9) assuming w is positive.\nAnswer: w**(6519\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 4, v: 15}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120446970 + 18910666796\/157. Let u = a + -3137. Which is greater: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 + 2. Let r(n) be the first derivative of -n**3 - 2*n - 2. Let j(l) = -5*i(l) - 6*r(l). What is the derivative of j(o) wrt o?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 45 + 13\/2*h**2 + h. Let d(l) = -l**2. Give u(d(k)).\nAnswer: -13*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 40 = 24. Solve -i = w - 0*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 - -28. Calculate the greatest common divisor of p and 253.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v*v)**(-22)\/(v**1)**(1\/22) assuming v is positive.\nAnswer: v**(-1\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 18\/27*(-3 + 240). Let r be (-36)\/27 - t\/(-114). What is the biggest value in 7, r, 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -176665957.0000296 + 176665868. Let p = -89 - g. Round p to six dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 + 5*j - 5*j**2 + 0*j**2 - 3 + 2*j**2. Let b(n) = n. Let h(k) = 5*b(k) - m(k). Differentiate h(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05035867 rounded to three dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 687285 and 405.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*((-8)\/2)\/(-4). Suppose c*v = -3*v + 395. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11\/45 (b) 6\/343 (c) 1\/5 (d) -9\/64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = 10*k - 210 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -6 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*f + 6*z + 13 = 124*f, -4*z = 5*f + 17 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 5 - 62)*(-3*a**3 - a**4 + 3*a**3) + 0*a**4 - 4*a**4 + 5*a**4 - 2*a**4 + 3*a**2 - 3*a**2 in the form t*a**3 + v*a**2 + m*a + q + n*a**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xh when two letters picked without replacement from {x: 4, h: 14}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exqqqpqvepue. What is prob of picking 2 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637124215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 36 + -33. Solve 5*m - 13 = -d*t, -4*t - 11 = -3*m + 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*u + 2*q**2 - 181*q - 220*u wrt q.\nAnswer: -4*q*u + 4*q - 181","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, i: 14}. Give prob of sequence piip.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - r + 3. Let d(k) = 3*k + 6. Let x be d(6). Suppose -5*f = -3*o + 1 - 4, 4*f + 3*o - x = 0. Let u be f\/9*0\/(-5). What is w(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/((-10)\/6 - -2). Let p be f\/(-6)*8 - -7. What is the third derivative of 14*o**3 + o**p + 12*o**2 + 4*o**2 wrt o?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1715.5809 + 1716. Let i = -100.59 - -101. Let k = n - i. What is k rounded to 3 decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, s: 4, r: 1, a: 2, d: 3}. Give prob of picking 1 r and 2 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, 29, 49, 69?\n\"Answer: 20*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 9:12 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13038483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 243 - 274.2. Let m = -5.2 - f. Let i = -25.5 + m. Put i, 2, 0 in descending order.\nAnswer: 2, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let t(z) = z + 1. Let w(h) = 17*h - 3. Suppose -2*q - 24 = -20. Let u(n) = q*w(n) - 6*t(n). Give u(f(p)).\nAnswer: -80*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003238 to 4 dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 0*j**3 + j**3)*(-55*j**2 - 181*j**2 - 29*j**2) - 2*j**5 + 3*j**5 + j**5.\nAnswer: -263*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -310 - -3?\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117 = 14*w + 45 - 68 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -167 + -86. Let j = 356 + f. Does 32 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**3\/3 - 3*x + 8. Let y be m(0). List the prime factors of 72*(6 + y - 2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of r**8\/168 - r**6\/15 - r**5\/15 + r**4\/4 + 2*r**3\/3 + r**2. Find z, given that u(z) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1.5, -6, -1, -2\/21, 0 in descending order.\nAnswer: 12, 0, -2\/21, -1, -1.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - -2.111821?\nAnswer: 1.911821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8795741 centimeters to meters.\nAnswer: 0.008795741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1317 times -2331.4?\nAnswer: 3070453.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + (-357)\/(-56))\/(12\/(-8))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -12.1. Let t = 3.1 - i. Let a = -4.5 + t. What is the second smallest value in a, -3\/5, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 688 and 256.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*l - 3*l + 43 - 5 wrt l?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -367\/14, -0.1, 0, -5\/3, 0.4 in decreasing order.\nAnswer: 0.4, 0, -0.1, -5\/3, -367\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 104541631 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 971414 times -0.46?\nAnswer: -446850.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 5*m - 2*f, 0 = m - 6*f + 3*f - 53. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, g: 7, n: 4}. Give prob of picking 1 g and 1 l.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207979530 or -207979531?\nAnswer: -207979531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-4\/9)\/s))\/s*s)**(-42))**28 assuming s is positive.\nAnswer: s**(-8624\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 7*m + 1. Let s(w) = w**2 + 6*w - 1. Suppose -7*p + 9*p - 5*q - 308 = 0, -p = 3*q - 154. Let o = p - 151. Calculate o*r(l) + 4*s(l).\nAnswer: l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3, 0, -23, -78, -177, -332, -555, -858?\nAnswer: -1253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31648, -126581, -284800, -506305, -791096, -1139173, -1550536?\nAnswer: -2025185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s - 2*s + 8*s**2 - 2 + 2*s + 5*s + s**3. Let z be v(-5). Suppose -3*g = -z - 17. Solve 4*d = 4*l - 34 + g, 0 = l - 4*d - 21 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -710*m + 78. Does 46 divide c(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together 0.32 and 0.055093.\nAnswer: 0.375093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in five quarters of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4311263*v**2 - 5797*v - 5797. Let r(f) = -4463*f**2 - 6*f - 6. What is 6*g(x) - 5797*r(x)?\nAnswer: 4433*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8318180 and 11960.\nAnswer: 16636360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 1, j: 1, x: 1, r: 1, t: 2}. Give prob of picking 1 j, 1 x, and 1 r.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f = 5*k - 25, -220 = -17*k - 169 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.19 + -0.2. Suppose 2*l - 26 + 26 = 0. Which is the nearest to l? (a) 0.3 (b) 0.4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454542 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.3 - 5. Let z = g + 0.2. Suppose -3*d + c = 11, 23*d = 18*d - 5*c + 15. Put d, -3, z in descending order.\nAnswer: z, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -21\/11 in -0.1, 0.5, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - 0 - -17) + 0 + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8069136 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2593 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 u when two letters picked without replacement from ruuysssrddusddus?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2752, -1.1, 0, -6, 0.4, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -76677 - 2?\nAnswer: -76679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-10135)\/37 + -3. Let j = -279 - m. Let z = -22\/185 + j. Does 1\/3 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -909*t**2 + 454*t**2 + 453*t**2.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 0)*3\/(-3) + 4. Factor -226*i + 20*i**2 + 5*i**s + 226*i.\nAnswer: 5*i**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -675, -678, -681?\nAnswer: -684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 373892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkcokkfykkkccyfkkkk. Give prob of sequence okk.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**4\/24 - 7*m**3\/2 - 4*m**2. Let c be g(12). Let v = 22 + c. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/13136 and 103\/154?\nAnswer: 1011472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8240647049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.35. Let n = t + 5.65. Let d = n - 6. Which is the third biggest value? (a) -0.3 (b) d (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 2059*l - 18581. Determine n(-9).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 78 and 116606295?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2368072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let x(d) = -391*d - 136. Let i(h) = -17*h - 6. Let o(l) = 68*i(l) - 3*x(l). What is p(o(s))?\nAnswer: 51*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4600*n - 87493 = 137907 for n.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 - 5*b**2 + 3*b. Let k be m(3). Let i = k + 16. Let c = -13 - -20. What is the least common multiple of i and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*z - 4*z + 3*z in the form m + f*z and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 455 + -454.77. What is the biggest value in -5, 2, b, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n**2 + 34*n - 7. Give x(-11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 0 - (8 + -12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5647223, -5 in ascending order.\nAnswer: -5647223, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**3 + 4*b**3 - 2*b**3)*(23*b**2 + 76*b**2 + 8*b**2).\nAnswer: 321*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -2*f + 13, 41*f - 39*f = -t - 7. Let n(k) = -50*k**3 + 100*k. Let g(d) = d**3 - d. Give f*n(x) - 100*g(x).\nAnswer: -50*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 - 28*f - 13*f**4 + 0*f**4 + 13*f + 17*f to the form x + w*f**2 + o*f**4 + y*f + r*f**3 and give o.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004595471 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -r**6\/720 + 17*r**5\/120 - 145*r**4\/6 + 48*r. Let y(p) be the third derivative of n(p). Calculate y(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.01, -338, -1?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 560*d**3*s**3 - 3*d**3 - d**2*s**4 - 51*s**2 - 2*s wrt s?\nAnswer: 3360*d**3 - 24*d**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8 = -2*o. Suppose -14774060*g = -14774065*g + 15. Is o >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 230052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 4*w - 6, 5*n + 5*w - 20 = -0*w. Suppose -n*z - 4*z = -522. What is the remainder when z is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4832*m**3 + 875*m**2 - 11 + 11 - 4757*m**3 wrt m.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -31 - -62. Suppose 18*l + 62 = 206. What is the remainder when z is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + (-190)\/(-40))*12. What is the highest common factor of 6 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 890, 1007, 1124, 1241, 1358?\n\"Answer: 117*i + 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 25092903?\nAnswer: 1\/25092903","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -481 - -207. Let s = -141 - t. Suppose -655 + 1035 = 20*p. What is the highest common factor of p and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 23*l + 10. Let m = 21825 + -21826. Give o(m).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 7*y**2 - 7*y + 15. Determine f(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14830382?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170040*p**3 - 2605*p + 8?\nAnswer: 1020240*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five quarters of a litre in millilitres?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.25 (b) -0.2 (c) 113\/54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 3, b: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/2061? (a) -2 (b) 5 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 - 33*w + 161. What is the remainder when k(30) is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2843214*q**2 - 214231*q + 3.\nAnswer: -5686428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -137*d**7\/7 - 233*d**4\/4 - 351*d. Find the third derivative of k(c) wrt c.\nAnswer: -49320*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*y**3 + 2421*y**2 + 194982*y - 27904.\nAnswer: (y + 128)*(y + 218)*(7*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z = 12. Let k = -1715 - -2607. Let r = k - 891. Which is the closest to r? (a) z (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (433 + 436 - 838)*(-13*b + 6*b - 4*b)*(-22 - 4*b + 22) as p*b**2 + v*b + t and give p.\nAnswer: 1364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.832 + -0.02?\nAnswer: -9.852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 5\/42*f**7 + 0*f**6 + 0 + 0*f**4 + 0*f**5 + 5\/6*f**3 + 3*f + 0*f**2. What is the second derivative of b(o) wrt o?\nAnswer: 100*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 615.9654 + -620.94. Round h to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a hour in minutes?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a + -68?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*i**3 + 2192*i**2 + 4372*i + 2184.\nAnswer: 4*(i + 1)**2*(i + 546)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(21)\/sqrt(3)) + -2)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i**2 + 11*i**2 + 5*i**2)*(6 + 3 + 3).\nAnswer: 264*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w**3 - 5*w**3 + 270864780*w**2 - 270864780*w**2.\nAnswer: -6*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5618.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.98 + -0.02. Let x = 1.2 + -6.2. What is the nearest to 2\/5 in 1, x, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1573090 rounded to the nearest one thousand?\nAnswer: -1573000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4440 divided by 1110.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-22) - (-237)\/33. Let b(p) = -6*p - 8 + 6*p - p**2 + 9*p. Give b(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 42. Suppose x*w = -4*a + 13438, a = -0*a + 5*w + 3354. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21254 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 8*f**2 + 7*f + 6. Calculate w(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 1225*i. Let h(x) = -10*x - 15*x - 13*x + 53*x - 13*x. Calculate p(h(n)).\nAnswer: 2450*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -33*p - 6. Let n(j) = -17*j - 3. Let c(k) = -5*n(k) + 3*x(k). Let f be 24\/(-15) - 4\/10. Calculate the remainder when c(f) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, h: 7, x: 5}. What is prob of picking 1 h and 3 i?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0)\/((-18)\/(-90)) - (-380)\/80.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.02 + -0.32. Let l = u - 0.06. Let d = -3.5 + 4.4. Sort -2, d, l in ascending order.\nAnswer: -2, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 984630.28 - -128468\nAnswer: 1113098.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8721, 35058, 78981, 140502, 219633, 316386?\nAnswer: 430773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, h: 1, a: 11}. What is prob of picking 1 h and 1 v?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 y when two letters picked without replacement from {d: 4, c: 1, q: 8, y: 3, t: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-2))\/(1218\/(-812))\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -235?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 255567 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence spm when three letters picked without replacement from {p: 4, s: 2, u: 2, m: 8}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 1761 - 8*h**3 + 1759 - h in the form f*h + k*h**3 + d + c*h**2 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1593 - -1594. Sort 2\/11, h, 5, -0.2 in descending order.\nAnswer: 5, h, 2\/11, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 48692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + p)*(48*p - 38*p**4 - 7*p**3 + 8*p**3 - 46*p).\nAnswer: -38*p**5 + p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -1\/4, 1\/5, 1\/2184 in ascending order.\nAnswer: -1\/4, 1\/2184, 1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 3, 0.067, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50100 and 50.\nAnswer: 50100","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 4. Let d = 4 - 0. Let w = 1 + d. Solve -m*s + 8 = -w*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1147, -4604, -10367, -18436, -28811, -41492, -56479?\n\"Answer: -1153*w**2 + 2*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - 2*i**2 - 2. Determine r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 2 = 6*l, 0 = -x - 22830 + 22835 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 1)*(26*c + 12*c + 19*c).\nAnswer: -114*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2779a9 (base 11) in base 6?\nAnswer: -13154230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3496 and 5965832?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 3 + 4*g - 3. Let q(z) be the second derivative of z**6\/120 - z**4\/3 + 6*z. Let t(y) be the third derivative of q(y). Determine t(h(o)).\nAnswer: 18*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 40*v + 2. Let n be a(5). What is the common denominator of -23\/4 and n\/(-10)*10\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 - 10*f**3 - 14*f**2 + 3*f**3 + 3*f**3 in the form d*f**3 + u*f + n + a*f**2 and give a.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 - 15426*t**3 - 19937811*t**2 - 276865848*t - 966392112.\nAnswer: -3*(t + 7)**2*(t + 2564)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/10 - 2\/5. Suppose -5*y - p = -17. Find the second derivative of -z + 10*z**4 - y*z - 7*z**4 wrt z.\nAnswer: 36*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 116*l**3 + 971*l**2 + 4*l + 3895655.\nAnswer: 348*l**2 + 1942*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 27, 43, 63, 93, 139, 207, 303, 433?\n\"Answer: a**3 - 4*a**2 + 21*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503171793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18519, -18567, -18613, -18657, -18699?\n\"Answer: l**2 - 51*l - 18469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43728, 174957, 393664, 699843, 1093488?\n\"Answer: -i**3 + 43745*i**2 + i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796068374 to the power of 1\/5, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - (0 - (0 + 0)). Let n be (-1)\/b - 5\/(-2). Solve 0 = 3*u - n + 11 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 534 + 559 = 0. Let w(u) be the third derivative of 0*u + 1\/15*u**c - u**2 + 0*u**3 + 0 + 1\/12*u**4. What is the second derivative of w(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.974 - 0.574. Which is the smallest value? (a) s (b) -4 (c) -2\/15 (d) -4\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3 + 9. Let r = -5 - t. Let o be 2*r*(4 - 2). Let z(y) = 2*y + 3. Let n(j) = -2*j - 2. Calculate o*n(b) - 3*z(b).\nAnswer: 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244079 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -28 (b) -337\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 + 1) - (-20 - -23)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -8 + 4. What are the prime factors of (1 + -5)*v*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 2 + 112*g**2 - g - 110*g**2)*(3*g**2 - 4*g**2 + 2*g**2) - g + g**4 + g + (4*g**3 - 2*g**3 + 0*g**3)*(-2*g - 2*g + 5*g).\nAnswer: 5*g**4 - 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 289.\nAnswer: -4\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 108582095959 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 838795.1km to centimeters.\nAnswer: 83879510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 5*i**3 + 2*i**2 - 2*i + 1. Suppose -4*s + 5 = 1. Let h = s - 0. Let q be y(h). Solve q + 6 = 4*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 2\/5 (c) 1\/2 (d) 0.1 (e) 1.7 (f) -17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1471618, -1471633, -1471658, -1471693?\n\"Answer: -5*u**2 - 1471613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s - 9*s**2 + 0 + 3\/2*s**3. What is the tens digit of d(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 123.3 - 123. Which is the nearest to 0.2? (a) 5 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide (4685\/10)\/((-1)\/(-1 - 1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -11 + 4742 - (0 + -3 + 0)?\nAnswer: 2, 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 21 = -181. Let z = -16 + i. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 6:14 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 108. What is the remainder when 59 is divided by a?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 33a6 - 7?\nAnswer: 339c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - 3*m - 3. Let n(p) = 4*p - 1 - 3 + 2 + 6 - 5*p**2. Suppose 5*w - 25 = 0, -5*x = -5*w + 2*w - 5. What is x*u(q) + 3*n(q)?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b - 34. What is g(0)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76 + 95 - 3*v - 3*v**3 + 118 to d*v + b + n*v**2 + r*v**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 728082743 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: Let n = 12575 + -12572. Solve -20 = -n*f - 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -w - 3 - 13, 8 = m + 3*w. Let s = m + -4. Suppose -4*g + 2*r = -10, 4*r - 32 = 349*g - 354*g. Solve 0 = -s*h - 4, 0*h - g*h = -5*p + 19 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = 14*p - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -127, 16 in descending order.\nAnswer: 16, -2, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1))**25*g**1*g\/g**2*g)**(-9\/5) assuming g is positive.\nAnswer: g**(216\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, l: 2, g: 7}. What is prob of sequence gl?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101 + -120?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 13 - 10*b - 20 + 8. What are the prime factors of v(-5)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34163867.\nAnswer: 173, 197479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times 5681364?\nAnswer: 454509120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:43 PM?\nAnswer: 8:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -z**3\/3 - 3*z**2 + z. Let i be m(-6). Calculate the greatest common factor of 24 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((-42)\/9 - (4 - 8)). Calculate the smallest common multiple of (3 - 1)*10\/s and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78*0.01.\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -155671, -622712, -1401113, -2490868, -3891971, -5604416, -7628197?\n\"Answer: j**3 - 155686*j**2 + 10*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -71 and -4.069.\nAnswer: 288.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1792984.020085 and 4.\nAnswer: -1792980.020085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24333, -26671, -29009, -31347?\nAnswer: -33685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -11, 8, -0.03, -0.3 in ascending order.\nAnswer: -11, -0.3, -0.03, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y + 66*y + 43384 = 0. Sort y, 1, -4.\nAnswer: y, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28.1 + 28. Suppose -5*w - 19 = -4. Let r = 2 - 1.9. What is the closest to w in 0.4, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 139897?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 69 + 25 = 0. Suppose -3*l - 5*l + q*l = 0. Suppose l = 4*t - a - 522, 3*a = 5*t + 6*a - 661. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 2, p: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 21120211 (base 4) to base 5\nAnswer: 2212222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 480 and 840?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of b**5\/20 + 475*b**4\/72 - 53*b**3\/9 - 1065*b**2. Find s, given that r(s) = 0.\nAnswer: -53, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -272398000 rounded to the nearest 1000000?\nAnswer: -272000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -12*(-3)\/(-3). Let p = -10 - -12. Suppose -5*t - 2*k + 470 = -7*k, -p*k = 6. What is the greatest common factor of l and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/21 and -29\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210102001 + -12012111?\nAnswer: -222121112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 70 = -5*j, -3*j - 55 = -7*j + z. What is the common denominator of j\/10 - 126\/16 and -25\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -15*s + 281. What is c(28)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1653922 divided by -826961.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 81*i - 5867. Let g be w(73). Solve -g*v = -18*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*4*(sqrt(441) - (-1*sqrt(441) - sqrt(441))))\/((sqrt(21)*-1)\/sqrt(3) + sqrt(21)\/sqrt(3)*-1).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(264) + sqrt(264) + (sqrt(264) - -1*sqrt(264)) + sqrt(264)))\/(sqrt(539) + sqrt(539)*-2))\/(6*sqrt(32) + sqrt(288)).\nAnswer: 5*sqrt(3)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10*s + 0 - 3*s - 3*s.\nAnswer: -16*s - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -1)*-3.\nAnswer: -24*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7887 + 8198. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 566?\nAnswer: 566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 3*j**2 - 12*j**2)*(4*j**3 - j**3 - 2*j**3 + (3*j - 3*j - 41*j**2)*(3*j + 2*j - 3*j)).\nAnswer: 1296*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1 + 2 - 2). List the prime factors of 4\/((116\/62)\/(-2) + t).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1295664168 to the nearest integer?\nAnswer: 35995","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 100028008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18299128.\nAnswer: 2, 19, 131, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y**2 - 2. Let n(v) = 7*v**2 + 3. Suppose 121*z - 110*z + 33 = 0. Determine z*q(g) - 2*n(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*i + 0*i - i**2 + i**3 - 2 - 3*i + 6 as o + y*i + x*i**3 + h*i**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/5868 and 15\/16952.\nAnswer: 152568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/3696 and 79\/704?\nAnswer: 14784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1774215 > -1774215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1349\/2 - -707. Let v = p + -391\/12. Let n = 113\/3 + -562\/15. Which is the nearest to -1? (a) v (b) n (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s + 1. Let q(j) be the third derivative of j**4\/4 + 5*j**3\/6 - 6*j**2. Let v(l) = -10*k(l) + 2*q(l). Let n(t) = 8*t. Give n(v(z)).\nAnswer: 16*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 1024330\nAnswer: 4\/512165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 965480, 1930979, 2896478, 3861977?\nAnswer: 4827476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128038 or -128046?\nAnswer: -128038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1925598 and 930.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*h = 420, -308*y + 309*y - 3*h - 2*h + 145 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 70*(-23)\/(-161)*1\/(-4*(-5)\/100)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*d = 323*d + 332*d - 3178 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-1\/2)*n**(-15\/2)*(n**4*n)**39 assuming n is positive.\nAnswer: n**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from oqymvqto.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 13, 9, -5, -35, -87?\n\"Answer: -p**3 + p**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*t**2 - 5*t**2 + 0*t**2 + (-3*t + 2*t + 2*t)*(0 + 0 - 5*t) in the form n*t**2 + w + k*t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 at least 2648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 0*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*s - 308 = -55*s. Find the second derivative of -43*a**5 - a + 184*a**5 + s - a**3 + a**3 wrt a.\nAnswer: 2820*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 9, -0.448, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(684) - sqrt(684)*-2) + 0 - (-3 + sqrt(684) + -2*sqrt(684) - -5*(-2 + sqrt(684) + sqrt(684))))**2.\nAnswer: -792*sqrt(19) + 24745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0086 + 55.2086. Let h = y + -55. What is the second smallest value in -5, -2\/3, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 46940?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -202, -203, -204?\n\"Answer: -l - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*p + 22 = -34*p - 2*b, 0 = -p - 5*b - 69 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -9*p**3 - 238227*p**2\/5 - 460446*p\/5 - 222264\/5 = 0.\nAnswer: -5292, -1, -14\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -9*u**2. Let y(t) be the second derivative of -1\/3*t**3 + 0 - 34*t + 0*t**2. Calculate y(l(a)).\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 6) to base 7.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 9*p**2 - 12*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, -33, -4, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 22. Let q be a(10). Suppose 4*s + 6 = -q*k - 4, 4*k = s + 16. Find the third derivative of 2*u**3 + 3*u**2 + 16*u - 16*u + 0*u**k wrt u.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 5.923. Let q = -0.423 + w. Let j be 5\/((-25)\/6) + -2 + 3. Which is the nearest to 1? (a) q (b) -4\/3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40455, 10, -0.17, 0.3 in ascending order.\nAnswer: -40455, -0.17, 0.3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from icclllcccclcl. Give prob of picking 3 l.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 3. Let w(u) = -12*u - 12. Give 4*f(k) + w(k).\nAnswer: -16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 2*s - 5791, 21*s - 5*h - 8715 = 18*s. What is the highest common divisor of 58 and s?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4932*v**3 - 3*v**2 + 43*v - 6 wrt v?\nAnswer: 29592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 9 - (1 - 1)) + -7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-51)*2*(-6)\/6?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5895 - -5895.4. What is the smallest value in 5, -4, 0, y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*(-12)\/144)\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*r**2 - 211*r**2 + 110*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z - 14 + 6*z - 2*z. Let a be b(14). Calculate the highest common divisor of 112 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 9.54. Let q = -0.5400171 + j. What is q rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 425277 times -161\nAnswer: -68469597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14670002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002035 to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, r: 1, w: 3, o: 6, k: 2}. What is prob of picking 2 e and 2 r?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 14) to base 13\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -10791?\nAnswer: -1\/10791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 54*l**2 - 397*l + 37. What are the prime factors of j(22)?\nAnswer: 3, 5813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1000216?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*8\/12?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*c - 4*c - 3*c + (2 - 2 - 2)*(-c - 3*c + 3*c) - 4*c - 4*c - 5*c)*(-c + 0*c + 0*c).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a**2 + a**2 + 0*a**2 - 2*a**2 - a + a + (3 + 1 - 2)*(2 - a**2 - 2))*(-7*a - 3 + 3).\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -10\/11 (b) -1\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*(-6)\/24*4. Suppose 6 = 2*d + 3*u - 3, -3*u + 21 = -h*d. Let w(x) be the second derivative of x**4\/12 + x**3\/6 + x**2\/2 + 2*x. What is w(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 8. Let v be m(-6). Suppose 4*c - 4*x = 16, -2*c - v*x = -7 - 5. Put c, -2, 8 in increasing order.\nAnswer: -2, c, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3) + (-5)\/12. Let d = -2.94 - 0.06. What is the smallest value in d, 0.1, r?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*x - 49*x - 12 = 0. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + 9. Let i = 11.7 - q. Let x = -0.3 - i. Sort 1, 0.1, x.\nAnswer: 0.1, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8077 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116 = 19*u - 59. Let g(l) = l + 3. Let k(y) = -y**2 - 3*y - 2. Let a be k(-3). Let x be g(a). Sort x, 2, u in decreasing order.\nAnswer: 2, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0051 - -43.5949. Let i = s - 44. What is the second biggest value in -2\/9, i, 1\/3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -4*r - 5*j - 32, 0 = j - 2. What is the highest common factor of r and 3175?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 6*x + 11*x - 1 = 0, -x = 4*a + 19 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 1596b2?\nAnswer: 1596b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 10*y - 3. Let u(i) = -i**2 + 5*i + 5. Let g be u(4). Give v(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 21\/(-6))*0. Let h = -2 + w. Is 6*(0 + h\/(-4)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1873 + -1853. Solve -5*m - 5*j + r = 0, 0 = -3*j - 2 + 5 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25417147.\nAnswer: 7, 643, 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 11*j + 9 - 11 - 11.\nAnswer: 11*j - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -34*u + 35*u. Suppose -k + 2*k = -3. Let m = k + 6. Solve -2*w + w = -4*s - u, -w = m*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -2, -1\/3, -3\/5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 6)*(0*a - 2*a + 3*a) + 72 - a - 72 to the form r + b*a and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -2 - 1 - ((13 - 21) + 9)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2703, -5423, -8161, -10917, -13691, -16483, -19293?\n\"Answer: -9*b**2 - 2693*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40118 - -40121. Let j(a) be the first derivative of -44\/5*a**5 + 0*a**f + 0*a**4 - 1 - 7\/2*a**2 + 0*a. What is the second derivative of j(l) wrt l?\nAnswer: -528*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 293262693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (22*3\/(-18) - 0)\/((-19)\/(-57))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (13 - 0) + (-2 - -1). Find the third derivative of -l*h**4 - 2*h**2 + 10*h**4 + h**2 wrt h.\nAnswer: -48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + u**4 + u**4 + (1 - 1 - u)*(-2*u + 2*u**3 + 2*u) + (-95*u**2 + 20*u**2 + 27*u**2)*(0 - 2*u**2 + 0).\nAnswer: 93*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3503*o - 3428*o - 18*o + 1669*o.\nAnswer: -5280*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - (2 + 36\/((-12)\/2)). Let h(k) be the first derivative of -k**2\/2 + 10*k + 2. Let a be h(0). Solve 3*p + a = -4*f, i*f + 4 = -2*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-150)\/(-54) + -3)\/(-4 - -3). What is the nearest to 0.1 in -9, r, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -38.\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 2. Let v(y) = 114*y - 96. Let q(t) = -3*j(t) + v(t). Differentiate q(g) wrt g.\nAnswer: 111","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -w - 8. Suppose -2*u = -3*d - 6*u - w, 0 = u + 4. Which is the nearest to 0.46? (a) -5 (b) -2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 23\/((-690)\/8420)*-3.\nAnswer: 3368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 6*w - 2. Let g be y(-3). Let t = g + 42. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2729 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 - 34*s - 57. Let i be o(-15). Solve 0 = -i*q - 0 - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10520 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: Solve -7 = 3*d - 16 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/185292?\nAnswer: 1\/185292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -18, -68, -156, -288, -470, -708?\n\"Answer: -x**3 - 13*x**2 - 4*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2544)\/(-9) + (-7)\/(-3). Suppose -7*f + 1377 - q = 0. What is the lowest common multiple of 18 and f?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-12)\/14)\/((-30)\/140) + 6039?\nAnswer: 6043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + p + 5, 4*p - 12 = 5*i - 35. What is the second derivative of -s**i - 26*s**2 - 210*s + 321*s + 0*s**3 wrt s?\nAnswer: -6*s - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -17431.\nAnswer: -17431.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = 2*t. Suppose 0 = 6*n - t - 11. Let b(c) = 0 + 9*c - 4*c**2 + 6 + 1 + 5*c**n. Determine b(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**9\/(((r**(-6\/5)*r*r)\/r)\/r)*r**(2\/9)*r*r*r**(-1\/21) assuming r is positive.\nAnswer: r**(3898\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 253 + -228?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 1965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 11) in base 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 5*f - 2*h - 17, 7 = 3*f + 2*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*v = -78, 3*b - 60 = -v + 3*v. Let x = 16 - 8. What is the least common multiple of b and x?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v = 0. Let k be (-5 + 6)*(v + 2). Solve k*j + 2 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -594 - -1726. Does 44 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 78. Let h(q) = 3*q. Determine h(y(i)).\nAnswer: -3*i**2 + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-65 - -6) + -26 + 48.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12334 divided by 1\nAnswer: 12334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 17293704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/76317544 and 59\/6?\nAnswer: 228952632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19273*n**2 - 2*n**3 + 100*n - 100*n + 8216*n**2 - 18902*n**2 - 1.\nAnswer: -2*n**3 - 29959*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 319*y + 2762. Let u(a) = 2*a - 10. Let o(k) = -c(k) + 5*u(k). Differentiate o(w) wrt w.\nAnswer: -309","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 137840 and 15?\nAnswer: 413520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34662, -138568, -311718, -554106, -865726, -1246572, -1696638, -2215918?\nAnswer: -2804406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*o - 170, 0 = o - 6*o + 2*h + 296. Suppose 0 = 2*f + 14 - o. Suppose f = -2*s + 3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - 41\/(-4))\/((-1)\/(-8)). What is the highest common divisor of u and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1822\/23 and 80 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -191*m + 588. Let t be a(3). Solve 0 = -14*g - t*g - 58 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224715 and 355?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ozoxxfoziffzioix. Give prob of picking 1 z and 2 x.\nAnswer: 9\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 7*q + 10, -2*q = 5*k + 2584 - 2435 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of l**7\/42 - 43*l**5\/12 + 35*l**4\/4 - l**2 + 34*l + 81. Factor c(a).\nAnswer: 5*a*(a - 6)*(a - 1)*(a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4785235 (base 9) in base 5?\nAnswer: 1131023214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*r - 2*y + 4, -5*r + 20 = y for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6.5 - 1.5. Let t = -11 + 8. Let i = -47.7 + 47.2. Put i, t, b in increasing order.\nAnswer: b, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -24 - (-2 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 19*m**3 - 2*m**2 + m. Let b be 65 - -1 - ((-3 - 5) + 6). Let r = 118 - b. Calculate the remainder when r is divided by d(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 7\/1562327?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(8\/7)*x*x*x**(2\/61)*x\/(x*x**(5\/4)*x)*x**(-3))**(-42) assuming x is positive.\nAnswer: x**(5505\/122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -391838 = -7*r + 186999. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/5))**(-15)*(n\/((n*n\/n**(-2))\/n))**(2\/3))**15 assuming n is positive.\nAnswer: n**70","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.3 - -0.9. Let c = 0.1 + 0.5. Let j = c + v. What is the closest to 1 in 4, -3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2722 and 610.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102 + 3*x**4 - 47 - 50 + (3*x - x - 3*x)*(2*x**3 + 4*x**3 - 5*x**3).\nAnswer: 2*x**4 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 12*r**2 - 14*r + 9. Let g be c(13). Let p = 31 + -30.99. Sort p, g, 0.3 in decreasing order.\nAnswer: 0.3, p, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1125))**2 - (-1 + (sqrt(125)*1)**2).\nAnswer: -120*sqrt(5) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 a when four letters picked without replacement from {l: 4, a: 8, q: 8}.\nAnswer: 784\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1526 to two dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -688, -1192, -1510, -1642, -1588?\n\"Answer: 93*f**2 - 783*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 - 3*j**2. Let l be (-1 + 3\/6)*-8. Suppose -l*w = -5*w + 4. Let y(v) = -v**2 + 5*v**2 - w*v**3 - v**3. Determine 4*p(i) + 3*y(i).\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 73*x**2 - 5*x + 1. Let g(u) = 220*u**2 - 14*u + 3. Let h(f) = 3*g(f) - 8*m(f). List the prime factors of h(1).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 926697 is divided by 926692?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 663*w**2 + 51*w - 61. Is x(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a factor of 684178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - 1101001001011111010000?\nAnswer: -1101001001011111011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nfncnncfssc. What is prob of sequence ccc?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l + 1. Let g(p) = -3*p + 11. Let s be g(4). Give i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of p**4\/18 - 2*p**3\/9 - 11*p. Suppose x(s) = 0. What is s?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 5*n - 650, 0 = -5*f - 3*n + 7*n + 659. Calculate the smallest common multiple of 5 and f.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 1. Let x be d(-2). Suppose 4*o = -5*t - o + 80, -4*o + 44 = 3*t. Suppose -i = -x*i + t. Solve 3*p = 5*s + 9, -i*p - 2 = -4*s - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 3. Let q = f + -0.8. Let k = q + 3.8. Sort 2\/7, k, -4 in decreasing order.\nAnswer: k, 2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*h = 22, 2453*x - 5*h = 2451*x - 31 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.012 - -2.012. Let m(x) = -x + 6. Let k be m(6). Let l be (24\/(-21))\/(-4) + k. Is l >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ukz when three letters picked without replacement from ukz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -11*o - 6. Let w(d) = -12*d - 5. Let j(k) = 6*l(k) - 5*w(k). Let a be j(3). Let i = a + 33. Solve z + i = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.057 + 1.057. Suppose 4*d - 17 = -3*v, -4*v = 1 - 13. Suppose -2*g + 5*g - 6 = 0. Which is the closest to g? (a) d (b) k (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -y**4\/2 - 5225*y**3\/4 - 293767*y**2\/4 + 74095*y\/2 = 0.\nAnswer: -2555, -58, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 10:56 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -58139 bigger than 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10311232211 - 3?\nAnswer: -10311232220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 7*d - 3. Let z be j(-6). Solve 0 = -4*n - z*q - 5, -2*n - 2*q = -0 + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/9348 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from gggpppdpdpbpyp?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-26) + (-50)\/(-131950)*29?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) 0.1 (c) -3\/5 (d) -4 (e) 40\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-6\/7)\/h)\/(h**3*h))**40*((h\/h**(-2))\/((h\/((((h\/((h\/h**(-2))\/h*h))\/h)\/h)\/h))\/h*h))\/(h**(1\/3)*h*h)**(6\/13) assuming h is positive.\nAnswer: h**(-21691\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615479 + 617471 = 24*p for p.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49 is divided by 33.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 90.51 to the nearest integer.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-359 + 333 - (9 + -1))\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/8 and 103\/418012.\nAnswer: 836024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 - 5*r**2 + 11*r + 25. Let w be u(-6). Let q be 4*(w\/4 + 1). Is 2\/25 less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, o: 1, b: 3, v: 1, f: 2}. Give prob of sequence bpfp.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*c**3 + 447*c**2 + 99*c - 567 = 0. Calculate c.\nAnswer: -21, -9\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48\/505 + -28639\/9090. Find the common denominator of q and (-1 - 21\/(-30))*-31.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*n - 622 - 658. Let s = -3 - n. Suppose 3*f - s = 25. Calculate the highest common factor of 125 and f.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11201.05 - -11201. Let x = -8.2 + 0.2. Let y be (12\/(-15))\/((-21)\/(-15)). Which is the closest to x? (a) f (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 3159 = -2980. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1821547 is divided by 56915?\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 21*y + 2. Let n(h) = -94*h - 16. Calculate n(m) + 5*o(m).\nAnswer: 11*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l + 156. Let w be h(0). What is the remainder when 133 is divided by 12\/(-20) + w\/10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 5*o**2 - o + 3. Let t be z(5). Let d be 6\/8 - (-75)\/12. Let q = d + t. Put q, 1, -2 in descending order.\nAnswer: q, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*g = 0, s - 4*g - 2 = 2*s. Calculate the remainder when (-1)\/s - (-585)\/10 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/54*(-27)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 901 divide 173319366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 + -110. What is the greatest common factor of 6 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-6\/5)\/l**(4\/5)*(((l\/l**2)\/l)\/l)\/(l**(1\/11)\/l))\/(((l**(-3)\/l)\/l*l**3)\/((l\/(l*l\/(l\/(l\/((l**6\/l)\/l)))*l*l*l))\/(l**(1\/3)\/l))) assuming l is positive.\nAnswer: l**(-47\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 > -22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64828293 to the nearest integer?\nAnswer: 8052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -29. Let b be (36\/81)\/(k\/(-9)). Solve 1 - b = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*g + 3*y - 2, 4*y + 4 = -4*g. Solve -3*h + 1 = 2*b + 5, g*h = -5*b + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105.7 - -105. Let l = 2.3 - d. Let j = 4.42 - -0.58. Which is the second biggest value? (a) l (b) -2\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8579 = -16*r + 8787. Solve -24*z + 14*z = -r*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5495 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (8 - (7 + (-10 - -7)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 - 10. Let t(y) = y**2 + 2*y + 2. Let i be t(q). Let w(p) = -7*p + 2. Let k(d) = 12*d - 3. Let m(z) = -3*k(z) - 5*w(z). Determine m(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 324841\nAnswer: -27\/324841","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Is 79529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*c**3*p*v + 2*c**3*p + 8*c**3*v - 2*c*p + p*v + 172*v wrt c?\nAnswer: 288*c*p*v + 12*c*p + 48*c*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 25054171 to the power of 1\/2, to the nearest integer?\nAnswer: 5005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-135)\/210))\/((-3)\/9)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82170, 164076, 245982, 327888, 409794?\nAnswer: 491700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 42 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence voj when three letters picked without replacement from {o: 1, v: 1, i: 1, y: 11, j: 1, m: 1}.\nAnswer: 1\/3360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 74466 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 4. What is the remainder when (-66)\/(4 + -15) - -7 is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -369 = -2*t - t. Suppose 0 = 5*q - 3*l + l + t, -3*q - 73 = -l. Let x = -11 - q. What is the least common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3.9. Let r = 1991 - 1989. What is the closest to i in 5\/4, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 - 52836 = -38*r. Is r a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -4*m + 6. Suppose -495 = -m*j + 2139. Let u = 478 - j. Round u to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2. Suppose 27 = 5*x - 4*h, 2*x + h = x. Let s be ((-6)\/4)\/(4\/8) - -6. Let m(u) = -6*u - s*u - 2*u + x*u. Give w(m(y)).\nAnswer: 128*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -56.22445473 + 0.22434673. Let g = 56 + z. Round g to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 62*y + 10284. What is f(143)?\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -8 - -9 - -24 - 3. Let n be 1*(2 + 0 + 21). Which is greater: c or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1489762 years?\nAnswer: 0.01489762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + 11365 - 5615 - 5630 = 0 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Let f = 420 + -415. Solve d*g + 24 = -f*s + 5*g, 2*s - g = -9 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137.5239 minutes in microseconds?\nAnswer: 8251434000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0.4 (b) -3\/49 (c) -5 (d) 5 (e) 35 (f) 7 (g) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n + 3*n - 2*n)*(5 + 2 - 5)*(3112*n + 436*n - 454*n) to the form i*n**2 + b*n + s and give i.\nAnswer: -6188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 2*a + 1. Let c be v(2). Let i = 267 - 273. Let x be (-3 - i - 5)*15\/(-6). Sort -5, c, x, -2.\nAnswer: -5, -2, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(19) - sqrt(684)*-2) + -1 + (-4*2*sqrt(114))\/sqrt(6))**2.\nAnswer: -1428 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -82. Let l = -23.8 - n. Sort -1, 5, l in decreasing order.\nAnswer: 5, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*h + 319*h = 162*h - 205, 512*r + 2*h = -2*h + 2212 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1149, -1778, -1569, -198, 2659?\nAnswer: 7326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 3, 19, 51, 105, 187, 303?\n\"Answer: z**3 - z**2 + 2*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1131 is divided by 357.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 708665, 1417406, 2126143, 2834876, 3543605, 4252330, 4961051?\nAnswer: 5669768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5966952 - 12501010\nAnswer: -18467962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) 0.3 (b) 3\/8 (c) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + -3 + (16 - -1). Let i = -1 - -5. Suppose n + 19 = i*w. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 51\/(-9) + 2\/3. Let c(z) = z**3 + 5*z**2 - z + 2. What is the units digit of c(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 996 and 2656.\nAnswer: 7968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1166 in 1, 68, -2, -0.06?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 125679960 and 42?\nAnswer: 125679960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -837 - -841. What is the closest to 1\/4 in s, 6\/35, 3\/5?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 92, 4, 510 in decreasing order.\nAnswer: 510, 92, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 42.743248 - 9060.938748. Let l = c + 9020. Let g = -1.8 + l. Round g to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3034 and -3050 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-2)**2 + -3.\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 - 2\/5*u**3 - 6\/5 - 14\/5*u.\nAnswer: -2*(u + 1)**2*(u + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4 + 84*f**3 + 2*f**2 - 10?\nAnswer: 24*f + 504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 84\/8 - (-2)\/4. Let x be (-11)\/(i\/1340)*(-2)\/(-1). What is x rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1468116 divided by 9?\nAnswer: 163124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -281*v + 289*v - 1168 = 0. Let o be 771\/9 - (-2)\/(-3). Let b = v - o. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.2841, -4, 2?\nAnswer: 0.2841","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 5 + f - 3*f + f. Let r(m) = -m**3 + 9*m**2 - 6*m - 11. Let i be r(8). Let o be y(i). Let s(k) = k**3 - 7. What is s(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 19619 - 2816?\nAnswer: 16803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -531 or -708?\nAnswer: -531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08265492 to 4 dps.\nAnswer: 0.0827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (15\/(-100))\/((-15)\/(-20)). Suppose -t - 3*j - 2*j = -65, -63 = -t - 3*j. Let s be (-12)\/30 + (-2)\/t*-2. Is v at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.65 + -0.8. Let t = o + -5.85. Let x = t - -11. Sort -0.2, -5, x in descending order.\nAnswer: x, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -11 and 1428.\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18\/1471 - -7499\/11768. Which is the nearest to 4? (a) 3 (b) -3 (c) m (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**9\/(o*(o*o\/o**(-3)*o)\/o)*o**(-7\/6)*o*o\/o**(-6\/11)*o*o)**(17\/2))**(-29) assuming o is positive.\nAnswer: o**(-207553\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 989984?\nAnswer: 2, 30937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1460553 is divided by 9543.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a year in months?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand t + t**2 - t + (0*t + 4*t - 5*t)*(t + t - 3*t) + t**2 + 5*t**2 - 20*t**2.\nAnswer: -12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 250 + -172. Let d be (-2 - -1) + u\/2. Suppose 3*s + d = 101. Calculate the highest common divisor of 14 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*u + 42. Let n(h) = -4*h + 12*h + u - 18. List the prime factors of n(16).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 2) + 13 + 5 + -18.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.3 (c) -0.5 (d) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 291 + -178. Calculate the remainder when i is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14421434433 + 4?\nAnswer: 14421434442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 + -154. Let d(i) = -26*i + s*i - 49*i - 36*i. Let h(m) = m**2. Determine h(d(v)).\nAnswer: 11881*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95 - 84 + 3*u**2 - 100 + 279.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115103456 rounded to three dps?\nAnswer: -0.115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 467*g - 89*g - 4536 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 108?\nAnswer: -25\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(1331) + (sqrt(11) - (sqrt(11) + sqrt(55)\/sqrt(5))*-3).\nAnswer: 2 + 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 5*i - 7. Let b be f(4). Suppose -b*d + 105 = 5*h, 5*d - 81 = 4*h - 3*h. What is the remainder when d is divided by (-2)\/(-8) - 86\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 347, 696, 1045?\n\"Answer: 349*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*c**3*l - 57588*c**3*r**3 + l*r**3 + 5*l*r**2 + 3*l*r - 84*l + 20 wrt c.\nAnswer: -24*c**2*l - 172764*c**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/48)\/5*9\/(-15)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 PM and 9:03 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 50 + 27*g**3 + 36 - 74 + 4*g**2 + 2*g**4 wrt g.\nAnswer: 48*g + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41*d + 47*d - 86*d)*(-9 - 4*d**2 + d + 9).\nAnswer: -8*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 136, 301, 560, 901, 1312?\n\"Answer: -2*q**3 + 59*q**2 + 2*q + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 433434 and 203087?\nAnswer: 64581666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-6*sqrt(315)\/sqrt(5) - (sqrt(7) + -1 + 0 + -2)**2).\nAnswer: 48 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 10\/3, 0.3, 3.8, 1\/2, -31?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.051 - -0.051. Is -1\/4 less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {o: 4, d: 1, v: 5}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -197*n + 2. List the prime factors of j(-6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4704054*b - 5288492?\nAnswer: 4704054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 17*h**2 - 6*h - 8. Let u be d(-12). Suppose 13*v + u = 17*v. Suppose 0 = 5*f - v - 197. List the prime factors of f.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 2 = -6. Let f be (-1)\/(1*s\/5). Let c(j) = -2*j + 5. Calculate c(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 - -114. Does 46 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0106927 rounded to five dps?\nAnswer: -0.01069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g + 79. Let b be a(-15). Let m(n) be the second derivative of -n + 0 - 2*n**2 - 1\/3*n**b + 0*n**3. What is the derivative of m(q) wrt q?\nAnswer: -8*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71548)\/1612 - 48\/78.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 48. Calculate f(-21).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 22, -2, 0.4, -24, -30, -4.8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (2\/28)\/((-259)\/518)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32 - 4)*3\/(-6). Let j(z) = -z**3 - 4*z**2 + 5*z + 7. What is the lowest common multiple of 4\/(-6)*105\/q and j(-5)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4*f = -18. Let d be (f\/(-4))\/((-7)\/(-70)). Let l be 6*(1 - (-6)\/4). What is the greatest common divisor of d and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39024 and 35772.\nAnswer: 429264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 3*x - 1. Let c be r(3). Suppose -4*u + 20 = c. What is the third biggest value in 0.1, u, 1.1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 0*x**2 + 12*x**2 + 5*x - 4*x**2 + 755*x**3 - 754*x**3 + 1. Suppose 0*r - 8 = r. Calculate w(r).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -7, -9716, -1, 0 in ascending order.\nAnswer: -9716, -7, -1, 0, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/1134 and -83\/70?\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 623626?\nAnswer: 2, 79, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35.6511 + 35.8. What is v rounded to 2 decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 6667892?\nAnswer: -3333946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t + t**2 - 3 + 0*t**2 + 3 wrt t.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of 0 + 0*d + 1\/3*d**4 - 3*d**2 + 10\/3*d**3. Is f(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 694.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 10 - 329\/(-658)*(-476)\/(-30)?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 = 97*p - 722. Let n be (-16)\/(-10) + 4\/10. Solve -n*f = -2*j - 0 - 4, -5*f - p = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/96 and -31\/264.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3516)\/1316 - -2) + (-5)\/(-7)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from axqaqqjjjxaaxqj. Give prob of picking 1 a and 1 q.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2521013 (base 7) to base 11\nAnswer: 20187a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22.3 - 27.3. Suppose -5*r + 3*s = 15, 4 = 5*r + 3*s - 11. Suppose 4*n + r*n = 28. Which is the nearest to -1\/4? (a) u (b) n (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v + 77 = -25*v. Solve -5*m = -s + v, 0 = 4*m + 7 - 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*y = -43*y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n + 177. Give f(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3, 95, 213, 357, 527, 723, 945?\n\"Answer: 13*m**2 + 53*m - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*f - 56 - 88 = -44*f. Solve 3*s - 2*n = -20, 231*s - 233*s - 16 = -f*n for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 88. Suppose x*o - 256 = 3*m, 2 - 12 = 5*m. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 31*q**2 + 30*q + 15. Suppose -3*f + 5*b + 115 = 0, -2*f - 3*f + 165 = -3*b. Does 4 divide n(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*j = 462*j + 645966. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 12240.\nAnswer: 12240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in 2\/3, 10, -1, -4\/333?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3101098 - 1130*z + 3101098 + z - 5*z + 3*z + 2*z + 2*z - 5*z + 0*z + 0*z + z + (0 - 2 + 0)*(0 + 0 + 2*z).\nAnswer: -1135*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 363, -4 in descending order.\nAnswer: 363, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2 (b) -16 (c) -2\/19 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.2201038 millimeters?\nAnswer: 220103.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 203, 839, 1905, 3401, 5327?\n\"Answer: 215*z**2 - 9*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5*u**2 - 10*u - 1. Let c(s) be the first derivative of -2*s**3 + 11*s**2\/2 + s - 1. Let t(y) = -6*c(y) - 7*q(y). Give t(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 18. Let f = n - 33. Suppose f = -2*h + 70 - 8. What are the prime factors of h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -3*g - 7. Let m be y(-5). Suppose -5*t = -t - m. Factor -3*f - f**4 + 4*f + f + 3*f**4 - 4*f**2 - 4*f**3 + t*f**5 + 2.\nAnswer: 2*(f - 1)**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 - 7. Let z be (264\/(-77))\/(j\/21). Suppose -4*b - z = -2*r, -5*r + b = -2*b - 111. What is the greatest common factor of r and 192?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 7*f - 12 = -10*f, 3*l - 4*f - 23 = 0. Suppose 4*v + 168454 = l*v + z, v - 33686 = -5*z. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*j + g, -5*j = -g + 61 - 37 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/3 and -11\/279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1111000100010010000 (base 2) to base 10\nAnswer: 493712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 50?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 7\/4 of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 22*t**2 + 21*t - 12. Let y be r(21). Is (1304\/y)\/((-4)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 - 1 + 1. Let n(h) be the first derivative of 7\/2*h**2 - 2 + 0*h. What is n(d(w))?\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqjiuui. Give prob of picking 1 j and 1 i.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/50*(-5)\/(45\/6)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**2 - 110716*c + 5746416 = 0. Calculate c.\nAnswer: 52, 27627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 543959, 1087871, 1631771, 2175653, 2719511, 3263339, 3807131?\n\"Answer: -o**3 + 543919*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 35*n + 3130. What is j(-89)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/201733968 and 143\/75650238?\nAnswer: 605201904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a15b (base 14) to base 10.\nAnswer: 66133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -43\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7459, 29831, 67117, 119317, 186431?\nAnswer: 268459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -179 - -155. Let u be 5 - (m\/(-6) + 5). Suppose 7*x = 2*x - 3*q + 5, 2*q = -5*x. What is the third biggest value in -3, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 8) to base 10\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-1))\/m)\/m*m\/(m*m*m**(1\/3)\/m)*m)\/(m**7*m*m**(2\/3)) assuming m is positive.\nAnswer: m**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0037014331 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2375 + 2370. Sort 1996, u, 3.\nAnswer: u, 3, 1996","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 3, 4\/5, -2, -970 in ascending order.\nAnswer: -970, -2, 1\/4, 4\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -161. Let f = 12 + m. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 5*i - h + 1473, -4*h + 4 = 0. Let a = -424 + i. Let g be 110\/(-2) - (4 - 2). Is g smaller than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y**2 - 2*y**2 + 4*y**2 + (-8*y + 36*y + 13*y)*(2*y - 3*y + 0*y) + (-1 - 5 + 4)*(2*y**2 - 5*y**2 + 4*y**2).\nAnswer: -41*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 578633454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -4*y**3 + y**2 - 3*y - 6. Let g(p) = -5*p**3 + p**2 - 4*p - 7. Let q(f) = 3*g(f) - 4*t(f). Suppose n = -n. Let w be n\/((-8)\/(-12)*3). Calculate q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43.8 - -43. Let k = -5.835 + 0.035. Let q = k - h. Which is the smallest value? (a) q (b) -3\/7 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*3*(sqrt(104) + (sqrt(104)*-3 + sqrt(104))*-4))\/((sqrt(896) + (sqrt(896) - (sqrt(896) + sqrt(896) + sqrt(896)*-2)))\/(6*(sqrt(28) - sqrt(7)))).\nAnswer: -81*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**2 - 21*a + 10. Let r(o) = o**2 + 2*o + 2. Let c be r(-4). Let y be z(c). Solve -w = -y*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -352 + 832. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -l**2*p*z - 104167*l**2*z + 804606*l**2 + 2*l*p*z - 2*p wrt z?\nAnswer: -l**2*p - 104167*l**2 + 2*l*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6090 and 420?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -2 + sqrt(112) + -1)**2.\nAnswer: -48*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1841280 and 71\/9600.\nAnswer: 9206400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - u**2 - 2*u**2)*(u**2 - 5*u**2 + 0*u**2) - 2*u**4 + 4*u**4 - u**4 + (-59*u + 59*u + 25*u**3)*(-3*u + 2*u + 3*u).\nAnswer: 43*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133572 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**7\/21 + 3*j**5\/20 + 3*j**2. What is the third derivative of n(g) wrt g?\nAnswer: 240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-21))\/((-1)\/(-7)). Let d be n\/2 + (-49)\/(-14). Solve -5*r = -6*j + 3*j + 6, -4*j + d*r = -3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = t - 2*t. Suppose -4*c = -3*c - 12. What is the smallest common multiple of (c\/(-9))\/(6\/(-45)) and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.0676ml in litres?\nAnswer: 0.0180676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*j**2 + 31256*j + 1408529?\nAnswer: -36*j + 31256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 1)*(-184 + 10 - 34)*(-18*u**2 + u - 8*u + 16*u**2 - 1) to the form i*u**2 + p + m*u and give m.\nAnswer: -1456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -104, -289, -554, -899, -1324, -1829, -2414?\n\"Answer: -40*j**2 - 65*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/3 - 2\/3. Suppose -3*d - t - 2 + 9 = 0, 3 = -3*d - 3*t. What is the remainder when d is divided by 4 - (4 + c - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-32) - 17\/(-4). Let u(j) = o*j - 4*j - 2*j**2 + 0*j**2. Let k(b) = 2*b**2. Calculate u(k(f)).\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 + 129 + -5 + 9 is divided by 61.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-59\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 260, 384, 512, 644?\nAnswer: 780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5410439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -84.80021348 + 84.8. What is n rounded to 6 decimal places?\nAnswer: -0.000213","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10208 and 11136?\nAnswer: 122496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/396)\/((-20)\/270).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -0.05223737.\nAnswer: -0.26118685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6478, -6480, -6492, -6520, -6570?\nAnswer: -6648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 78325*u - 391602. Determine r(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjqcjcjqjqqqqqccjc. Give prob of sequence jqq.\nAnswer: 35\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (96\/18 + -2)\/((-766)\/17235)?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 2302141.\nAnswer: -4604282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nxxzxxxxn. Give prob of picking 3 x.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -15 (c) 0.05 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 3*r - 6. Determine h(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12525039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107511014 is divided by 15937?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 48381263?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6775 and 2.63.\nAnswer: 17818.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -6*b. Let a(d) = -6*d**2 + 5. Let w(p) be the second derivative of p**4\/12 - p**2\/2 + p. Let g(k) = a(k) + 5*w(k). Give z(g(h)).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69658 + 0.\nAnswer: 69658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 52 + 184*d**2 - 51 + 199 - 1343*d**2 - 47.\nAnswer: -1159*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + 0.27. Let z(w) = w**2 - 3*w + 8. Let y be z(0). Suppose y*l - 7*l - 2 = 0. What is the nearest to -0.2 in -2\/3, l, k?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 8:42 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011100110101010 - -1101000101011?\nAnswer: -110001111101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 6\/11*q**3 + 0*q + 2\/11*q**4 + 0*q**2 = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 93 or 92?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/(w*w**(-2\/3)))\/w)\/w)\/w**7)\/(w**(-3\/7)\/w**(-2\/7)))**(1\/6) assuming w is positive.\nAnswer: w**(-86\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21634*l**2 + 191 - 43259*l**2 - 191 + 21629*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u - 75*u + 50*u = 380. What is the remainder when 449 is divided by u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -99867004.7 + -11\nAnswer: -99867015.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of 127\/6*i**3 + 203\/2*i**2 - 1 + 39*i. Find the first derivative of l(f) wrt f.\nAnswer: 127","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -4, 175 in decreasing order.\nAnswer: 175, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -0.08 (b) 184 (c) -0.4 (d) -0.07 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/2910 and 4\/1455.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -49 and -1.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 57985603 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -29714877 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34a3 (base 12) to base 14\nAnswer: 2203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 + 3.3. Let k = r - 7.9. Which is the smallest value? (a) 0.36 (b) 0.4 (c) k (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/27*112\/56.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 4417959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 8, b: 2}. Give prob of sequence hhbh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 7818426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.271, -8, -5?\nAnswer: 0.271","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z**2 - 87*z + 588. What is w(7)?\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r - 7 = 4*h, 0 = r + 2*h + 7. What is the tens digit of 41\/1 + (-4 - r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = -10*d + 734. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/40 and -59\/184.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -445.7 - -448. Put 1, -1\/5, l in descending order.\nAnswer: l, 1, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.11 in 1, 0.1, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(6118\/361) + (-20)\/(-4)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2038920 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*n**4 + 59*n**4 - 56*n**4)*(2 + 2 - 1).\nAnswer: 180*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1484765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -2 (c) 0.6 (d) 952\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 161, -66, 47, 4, 5, 3 in descending order.\nAnswer: 161, 47, 5, 4, 3, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2760 and 672000?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 454 + -448. Suppose -2*o = -2*i + 5300, z*i = i - o + 13232. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 214 divide 43501492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5559 - -5739. Calculate the highest common factor of 1314 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -589420, -589414, -589408, -589402?\n\"Answer: 6*p - 589426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(8640))\/(sqrt(72)\/(4*sqrt(24))).\nAnswer: -480*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 92.179 to the nearest integer.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0934786 to three decimal places.\nAnswer: -0.093","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from suuus. Give prob of sequence ss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 4*l - 108, 0 = 5*h - 2*l + 151 - 10. Let f = -18 - 11. Let t = f - h. Solve 0 = -y - 4*v, -3*y + v - 3 - 10 = t for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5.28 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6922 = 3*h + 4*p - 6372, -4*p - 8856 = -2*h. Does 36 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77716.485 minutes in weeks?\nAnswer: 7.70996875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 4 = m, 5*n - m = 2*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5123913.\nAnswer: 3, 797, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**3 - 7*i**2 + i - 6. Let z be s(5). Let p = z + -87. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d + 1774?\nAnswer: 1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16517795 divided by 194327?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let g be -25 - -3 - -4 - 1. Let r = 125 + g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -3 - -1 - 5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -12*u - 2. Let y be v(-1). Let l = y - 11. Which is greater: l or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.253817 rounded to three dps?\nAnswer: 0.254","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 143 - 46. Suppose 13*q + 6*q + 703 = 0. Let d = q + 70. What is the remainder when n is divided by d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 23*w - 69. Let c be q(4). Let z(g) = 42*g + 31. Is z(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -d - 3, 3*d + 15036 - 15007 = w for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324*b**2 + 323*b**2 - 69 + 6.\nAnswer: -b**2 - 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 6. Let o be l(6). Solve o = -4*y - 6 + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 452 + -13?\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -157*o - 937. Let d be n(-6). Solve 21 = -3*r + 3*f, 3*r - 8 = -d*f + 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -3*d + 265, 0*d = 2*t - 4*d - 138. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = 3*a + 2*a + 5*r, -5*a - 4*r = 30. Let s be (a\/(-12))\/(5\/20). Factor -s + 2\/3*f**2 + 0*f.\nAnswer: 2*(f - 1)*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21 or -606\/29?\nAnswer: -606\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + 41 + -2 + -34.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -862 - -1216. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.75 - 0.5. Let l = t - 1.5. What is l rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/14770 and -52\/205303.\nAnswer: 2053030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 6\/(1 + -2). Let n = -19 + 31. Solve 36 = -4*x + 5*z, -4*x + z = -v*x + n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -359*v**4\/6 - 181*v**2\/2 - 227*v. Differentiate j(r) with respect to r.\nAnswer: -1436*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -330 divided by 6?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 3. Let u be ((-3)\/16)\/(h\/(-4)). Let s = -0.176 + 1.176. What is the third biggest value in s, -4, u?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:01 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21123205 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2629 is divided by 435.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75036 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 11*s**2 - 49*s - 69. Let h be u(-14). Calculate the greatest common divisor of 841 and h.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289439 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1 - (-20)\/(27 - 17). Solve 9 = 2*p + 2*s - 1, -10 = -w*p - 2*s for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136124 is divided by 154.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 879*k + 62049. Determine y(-71).\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 PM and 2:27 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + (-1 - -1) - 3. Suppose 2*t - 36 = -c*t. Let s = t + -6. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - 20 - -3) + (-5 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d = 3*s - 30, -3*s = -2*d - 9. Suppose 9 = s*a - 2*a. Solve k = -4*c + 19, 0 = -2*k - a*c - c + 18 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -2\/3, -2, -1, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 6*v - 8 = -3*v, 2*b + 4*v + 12 = 0. Suppose -b*j = -0*j + j. Suppose 6*x + 370205 + 12289795 = j. Round x to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9455747 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109685207?\nAnswer: 17, 6452071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73 + 73. Sort -1\/7, 0.5, r, -1\/3 in descending order.\nAnswer: 0.5, r, -1\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 51. Suppose -3*a - k = -s - 5*a, s - a - 12 = 0. Calculate the smallest common multiple of 10 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*h + 2 = h, 5*h = 10. Let m(x) = 2*x**3 - 5*x**2. Let s(q) = -2*q**3 - q**3 + 21*q**2 - 6*q**3. Calculate t*s(w) - 21*m(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -33, 4, -28.6, -0.2 in ascending order.\nAnswer: -33, -28.6, -4\/7, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -41 - 266734?\nAnswer: -266775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a**3 + 19*a**2 + 9*a + 6. Determine y(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183825122*x**4 + 7*x + 1046888 wrt x.\nAnswer: -2205901464*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 71, -4, 6 in decreasing order.\nAnswer: 71, 6, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 - 1. Let d(v) = 19103876*v. Calculate d(q(k)).\nAnswer: 76415504*k**2 - 19103876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + -1 + sqrt(320) + -5 - ((sqrt(25) - 1*sqrt(25) - sqrt(25))*-6)\/((sqrt(35) + sqrt(210)\/sqrt(6) - sqrt(35))\/sqrt(7)))**2.\nAnswer: -44*sqrt(5) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -143 + 1857\/13. Let v be (10\/(-5))\/(8\/3 + -2). Let c = 1 + -1.1. What is the nearest to c in v, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 234609?\nAnswer: 469218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 20 + -13 - (-14 - -1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15.34 + 3\nAnswer: -12.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1118 and 2653040.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00743933565 rounded to 5 dps?\nAnswer: 0.00744","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 - 62. Suppose 583*v - 31765 + 4364 = 0. Calculate the remainder when h is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*p = -42*p + 40. Let x(o) = o**2 - 3*o - 3. What is the smallest common multiple of p and x(-2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 23 + 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 6 - -13 - (-7 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*r + r - 164, 5*d - 228 = 3*r. Suppose v + 183 = 5*v + 3*q, 3*q - d = -v. Is v a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/(-8) - -3 - 35283978\/648)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 736, 3, -25016 in decreasing order.\nAnswer: 736, 3, -25016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.5 - 3. Suppose 2*r = 4*v - 6, 24*v - 20*v - 41 = -3*r. Which is the third smallest value? (a) 0.4 (b) v (c) l (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5*(m*m\/(m\/m**(-4)*m))\/m)\/((m*m**(-3))\/m**(2\/5))*(m\/(m**(-1\/3)\/m))**(-26)\/(m*m**(-3\/2)*m*m*m*m*m**(-1\/5)) assuming m is positive.\nAnswer: m**(-1847\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 11 + -3 + -13.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + h - 1)*(-7 + 15 - 12)*(2*h - 2 + 2) in the form k*h**2 + x*h + a and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2854699500 to the nearest one million.\nAnswer: 2855000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1601622057.\nAnswer: 3, 7, 76267717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -s + 2513*j - 2507*j, 0 = s - 3*j + 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - 61?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13721610619.0000611 + -13721611436. Let r = -817 - v. Round r to 6 decimal places.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 2*k + 4, -692*k + 12 = -695*k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/(30\/10)*(-135)\/(-60).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 25. Let v be f\/(-7) + (-39)\/(-7). Suppose 3 = 3*b - v. Sort -23, b, -0.2.\nAnswer: -23, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 11\/12 - 2\/8. Let h(w) = -w. Let r be h(0). Let u = -0.0658 + -0.4342. Which is the second biggest value? (a) u (b) j (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -352, 567, -0.1 in decreasing order.\nAnswer: 567, -0.1, -352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-36)*-1*-4. Let g(x) = -5*x - 6. Let i(l) = -l + 1. Determine d*g(h) - 4*i(h).\nAnswer: 9*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 11. Suppose 2*h - 25 - 35 = -v*c, -93 = -3*h - 3*c. Suppose 73*b = 56*b + 374. What is the greatest common factor of b and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, f: 1, o: 1, j: 1, p: 6, e: 1}. What is prob of sequence opc?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -80701 - -135?\nAnswer: -80577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 0*z = -3*z - 3, -h = 2*z + 7. Suppose -s = -h*u - 4*s + 42, -4*s = -2*u + 46. What is the remainder when u is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 * -359734.\nAnswer: 38851272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 13 - (-58 + (-2 + 4 + 1 - 7) + -7)\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 5. Let u = 1 - -3. Calculate the greatest common factor of q and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = -3*s + 127. Suppose 6*r - 5*p = 10*r - 90, -p + s = 5*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 5:50 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -101?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-78) - 22\/(-26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3702, -6335, -7894, -8379, -7790, -6127, -3390?\n\"Answer: 537*b**2 - 4244*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2448) + (2*sqrt(2448) - sqrt(2448)) + sqrt(2448) + -1)*-5 + -3)**2.\nAnswer: -720*sqrt(17) + 550804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -405 (b) 0.01 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 194, 631, 1358, 2375, 3682, 5279, 7166?\nAnswer: 9343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 114 (b) 1\/4 (c) 1\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) - (sqrt(121) - -4*sqrt(121)*-6))\/(sqrt(1100)*4) + -3.\nAnswer: -3 + 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from eccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 148\/185*25\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16 + -14 - (4 - 2). Suppose w = -10*i + 997 + 2103. Calculate the highest common factor of i and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4442331?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -50010 + 50009.999917546. What is z rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13933779 rounded to four dps?\nAnswer: 0.1393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/19, -2\/3, -5, -0.5, 11?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1918 + 1923. What is the highest common factor of 285 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 72*t**3 + 12*t**2 + 151*t**3 - 76*t**3)*(1 - t**2 - 1).\nAnswer: -3*t**5 - 12*t**4 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24538 is divided by 1198.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 40*a + 291. Determine w(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/((-64)\/40) - 0. Find the common denominator of ((-1)\/24)\/(u\/215)*-2 and 35\/87.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + (-4 + -2 + -3*sqrt(1216) + -1*sqrt(1216)*-2)**2).\nAnswer: -5016 - 384*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -145 + 287. Suppose -8 = k*m - 144*m. Solve -m = 22*s - 20*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19773*0.09.\nAnswer: 1779.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8\/12*-1 - (-4)\/6)\/2. Sort -3, h, 51, 5, 1 in decreasing order.\nAnswer: 51, 5, 1, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 - i**2 + 1. Let l be r(-1). What is the derivative of -4*h**4 + 7*h**4 - 2 - 30*h**2 + 30*h**l wrt h?\nAnswer: 12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptjptjxptxjxtp. Give prob of sequence pjp.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/11 + 8485424*q\/11 - 9000302557472\/11.\nAnswer: -2*(q - 2121356)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 8:44 AM?\nAnswer: 4:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-17 - -12) + 11 + (1 - -587). Suppose g + 2376 = 5*g - 3*m, v = g + m. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -174*m + 160*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-156)\/60)\/((-7)\/315). Suppose -70 = -5*g + 60. What is the highest common divisor of q and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 2 = -q + 2, -3*p - 1 = 5*q. Let z = -0.8 + 1.1. Suppose 4*f + 0*f + 8 = v, 2*f = -4. What is the closest to 0.1 in q, v, z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2478539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 - -1.1. Let d = -0.1 - -0.1. Let z = -1\/3 + 1. Which is the closest to d? (a) z (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 3*v - 54, -5*v + 25 = 3*o - 19. Let g(z) = -4*z**2 - 224*z + 7. What is the remainder when o is divided by g(-56)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 35772 = 2*z + 859412, 4*v + 4*z - 823676 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001619375 to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, m: 2}. Give prob of sequence mddm.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4287*v + 7. Let r(b) = -1265*b**2. What is u(r(n))?\nAnswer: 5423055*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b - 2. Let c be (-8)\/(-10)*(1 - -4). Suppose -5*r + 33 = 2*f, -4*r + 14 + 2 = -f. Let s(j) = -j + 7 - 4 + f*j. Determine c*s(d) + 7*x(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 7:11 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91488\/2 + (-95)\/(-19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -4 (b) 1.3 (c) -0.2 (d) 3 (e) 0.2051 (f) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 169\/1025682 and -33\/1367576?\nAnswer: 4102728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 22 + 10. Suppose -20*h + q*h = 400000. Round h to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a century in years?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-10)\/6)\/(30*(-24)\/2604528) and 11.\nAnswer: 66319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 9*f - 3. Let z = 20 - 11. Let n be w(z). Let x = 212 - 211. Sort n, x, 15, 2 in increasing order.\nAnswer: n, x, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 332 - 1139 - 29 + 405 + 3*k.\nAnswer: 3*k - 431","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2530b (base 13) to base 7\nAnswer: 404034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y = 15*y - 2*j - 32, 20 = -3*y - j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j + 6. Let g(b) = b**2 - 4*b + 6. Let f be g(4). Calculate p(f).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + p + 4*d - 36, -2*p - 3*d = -20. What is the greatest common divisor of p and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -14. Let u = 20.21 - 22.21. Which is the nearest to 2\/11? (a) u (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 5 = 2*o. Suppose -2 = o*t - 4*t. Let g = 8 + t. What is the remainder when 17 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/837650 and -131\/670120.\nAnswer: 3350600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2537455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5397 in 2, -0.2, 1.43, -2\/23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -16, 2, 147 in increasing order.\nAnswer: -16, 2, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 4308288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + (3 - 23) - 48 - 22?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/3 - 1)*5. Solve -2*v + r - 6*r = -p, 3*v - 2*r - 17 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 16) to base 9\nAnswer: -1046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 10:08 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -585*p - 168*p + 9420 + 7860 = 111*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t)\/(t\/((t**(2\/31)*t)\/t)*t)*(t**1)**15 assuming t is positive.\nAnswer: t**(250\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -59521669.99326 - -59522289. Let c = 619 - n. What is c rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6258942\/1197)\/(2 + 24\/(-14)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/36 and -1\/555012?\nAnswer: 555012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + -11 - (1 - 5). Let w(k) = -5*k - 15. Let x(l) = 2*l + 8. Let c(f) = v*x(f) - 3*w(f). Let y be c(16). Solve 0 = n + 4*n + y for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33312c8 (base 13) to base 14\nAnswer: 21233a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 + 6 = -3*h. Let c be 1\/(3\/(-12)*2). Let r = 1927.7 + -1928. What is the closest to 1\/3 in h, c, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011745516 rounded to 7 decimal places?\nAnswer: -0.0001175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250*f**2 + 4*f**4 + 26*f**3 - 264*f**2 + f**4 - 6*f**4 + f to t + n*f**2 + z*f**4 + b*f + v*f**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 3*x + 1. Calculate t(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -2*l**3\/3 - 6*l. Let h(n) = n + 30. Let c(y) = -2*y - 5. Let s(v) = 6*c(v) + h(v). Calculate x(s(u)).\nAnswer: 44*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 2*r**2 - r + 2. Let g be u(-2). Suppose g = t - 1. Solve t*d - d - 4 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 7*p**2 - 3*p - 5. Let o be x(8). Let d = o - 4. Suppose -2*i - 4 = 2*i, 2*s = i + d. What is the highest common divisor of s and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 3\/(51\/(-53)). What is the closest to 1 in -1, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from twttwt. What is prob of picking 2 t and 1 w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1666, 3328, 4988, 6646, 8302, 9956?\nAnswer: 11608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - a6?\nAnswer: -9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in -0.17, -2\/3, -1.14, -0.2, -3, 28\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjf when three letters picked without replacement from {j: 7, h: 1, f: 8, v: 2}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 458945095 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2467335 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: Which is greater: 384338 or 384293?\nAnswer: 384338","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - p + 142 = -225, 4*d - 5*p = 397. Suppose 0 = -11*g + 172 + 37. Calculate the remainder when d is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 567 + 1. Let y = n + -87. Let h be y\/32 + 17\/26. Which is the nearest to h? (a) 0.3 (b) 4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -238*y + 34281. Give l(144).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i - 4. Let h be o(3). Let q = h + 9. Calculate the least common multiple of q and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49851*l**3*t**3 + l**2*t**3 - 54316*l**2 wrt l.\nAnswer: -299106*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2228)\/12)\/((-1)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3026\/442 - (-3 + 10). Which is the third biggest value? (a) 0 (b) 0.2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42843 is divided by 1211?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*v - z, -2*v = -z for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (3 - 3) + 12\/(1 - -5)*444?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10237748 is divided by 3412579?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 102633635 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116578?\nAnswer: 2, 7, 11, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 241 + -235. List the prime factors of -1 + t - 1 - -1*165.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Suppose 3*v + j*v - 36 = 0. Let r = v - 9. Let s(l) = l**3 - 4*l**2 + 4*l + 1. Determine s(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zra when three letters picked without replacement from {z: 1, c: 2, a: 1, u: 1, r: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 681122504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 11:57 PM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d + 2. Let y(h) = h**2 - 7*h - 1. Let n(g) = -3*t(g) - 2*y(g). Let p(a) = -5*a - 5. Calculate 5*n(z) - 4*p(z).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 49*t + 32. Let y be s(1). What is the highest common factor of 405 and y?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -12.4. Let z = c - -12.00007. Round z to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -8186507, -8186493, -8186479, -8186465, -8186451?\n\"Answer: 14*k - 8186521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1.9 (b) -2\/3 (c) 2.5 (d) 10 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -5 + -33 + 11?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*w + 357 - 837. Suppose 4*x - 2 - 18 = 0. What is the smallest common multiple of x and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0 - 4 = 0. Solve -u - j - 4 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w**2 - w - 23. Let q be j(0). Which is smaller: q or -11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/(-20))\/(2\/(-5)). Suppose 3*k = 2*k + m. Suppose d + 118 = k*i - d, i - 24 = -5*d. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/63*((-85)\/(-425))\/(3*78\/(-675))?\nAnswer: -5\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:34 AM?\nAnswer: 10:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qlw when three letters picked without replacement from pwoql?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -214*o**6 + 158*o**2 wrt o?\nAnswer: -25680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or 2.054431?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 9489997) + 3 + -6 + 0. Round n to the nearest 1000000.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 28 = -5*u, 2*r + 7 = -u - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 26*j**2 - j + 1. Suppose 0 = -44*b + 1936 + 1452. What is the remainder when b is divided by t(1)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 78*z + 802*z + 113*z to the form q*z + b and give q.\nAnswer: 837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1 = 9. Suppose -5*w - 2*s = 3*s - 100, c*w = -5*s + 84. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - -12 - 6) + -16.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**5*g**3)\/(g**(-4)*g*g\/(g*g\/g**(-1)*g))*g**1\/((g**(1\/4)\/g)\/g)*g\/g**2*g**(3\/2) assuming g is positive.\nAnswer: g**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 1\/2, 0.3, -22, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440 = -4*m + 512. Calculate the greatest common factor of m and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3163142*i**2*x - 23668*i*x - 2*i - 33*x wrt i?\nAnswer: 6326284*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 50 = -4*u - 2, 0 = 56*u - 5*c + 84 + 80 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 20805?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -8. Suppose -2*w - g = 2*w. Is (w\/3)\/(2\/(-66)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570760 by 4.\nAnswer: 142690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 + 33*p**2\/4 + 7685*p\/2 + 3834.\nAnswer: -(p - 142)*(p + 1)*(p + 108)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -18*l**2 + 1\/231*l**7 - 8\/33*l**3 - 13\/110*l**5 - 2\/165*l**6 + 0 - 17\/66*l**4 + 0*l. Find j such that v(j) = 0.\nAnswer: -1, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 72054, 144098, 216148, 288204, 360266, 432334?\n\"Answer: 3*u**2 + 72035*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 143056 (base 8) in base 13?\nAnswer: 1a128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7 - 40*f - 9 - 20 with respect to f.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (-428)\/106 + 1. Which is greater: i or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (2 + 0 - 39). Let x = -26 - r. Calculate the remainder when 22 is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 60008*x**2*y - 10*x**2*z - 2*x*y + 2524*y*z wrt z?\nAnswer: -10*x**2 + 2524*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*c + 660 = -236*c + 160 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, 5, 10399, 4, -302 in ascending order.\nAnswer: -302, -5, 2, 4, 5, 10399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 96696 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 48 + -46 + -1 + 7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4 and -26.18?\nAnswer: 30.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (241*a - 189*a - 559*a)*(-3 + 2 + 2)*(6*a - 3*a + 0*a).\nAnswer: -1521*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -308263399594 + -4.\nAnswer: -308263399598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 36*b + 37. Let o be a(37). Suppose o = 7*m - 696 + 108. What is the greatest common factor of m and 588?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -15.4. Let a = -274 - -315.4. Let h = 41.5 - a. What is the smallest value in x, h, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40016.\nAnswer: 2, 41, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7868.861 centuries?\nAnswer: 9442633.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 + 6*r**2 + 6*r - 1. Let n(o) = 3*o**3 - 5*o**2 - 5*o. Calculate 5*c(a) + 6*n(a).\nAnswer: 3*a**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.068 + -3.068. What is the closest to 0.1 in -0.01, -0.2, p?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2742 less than 1?\nAnswer: -1.2742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.17 or 88409?\nAnswer: 88409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4300, -4298, -4296?\n\"Answer: 2*g - 4302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 21569628107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 180021\/7 + -25717. Which is smaller: c or 5126?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1533 + ((-1680)\/12)\/(-14)?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 + -101. What is the nearest to -1\/4 in -2, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (59 + -5 - 2)*3\/(-4). Let x be (-2)\/((-3)\/(-3)) - g. What is the first derivative of x - 96 + 26 + 21*u**3 wrt u?\nAnswer: 63*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k + 3. Suppose 20 = 5*b - t, -t - 4 = -2*b + 1. Suppose -b*y = -0*y. Let w be m(y). Is 2 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74.6 + 7. Let o = y - -68. Let z = 0.8 - 0.5. Which is the smallest value? (a) z (b) 0 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10530 is divided by 1167?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 9. Suppose -2*v = 3*v - 10. Sort 5, a, v in decreasing order.\nAnswer: 5, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -34. Let k(q) = -q + 7. Let o be k(r). Let i(g) = g - 2. Determine i(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 130410 and 360.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 73*c = b + 369*c + 281, 3*b - 3*b - 5*c - 4 = -c for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 12 = 4*h. Sort -2, h, -72 in increasing order.\nAnswer: -72, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (13 - 62) + 10 + 13.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/c**(3\/4))**(-35) assuming c is positive.\nAnswer: c**(-175\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 + 3*f + 14. Give n(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**6\/120 - p**4\/24 - p**3\/6 + 97*p**2 + p. Let x(r) = 3*r**3 + 12*r + 2. What is 2*n(y) + x(y)?\nAnswer: y**3 + 10*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2099*z + 480 = 2091*z - 4220*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 25*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1244226091.\nAnswer: 1244226091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -7*o + 5*c, -o + o - o - 9*c + 58 = 3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 10*b - 16)*(2 - 3 + 0)*(26*b + 27*b - b + 9*b) as s*b**2 + o*b + c and give s.\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -5.369953625395 and 29.\nAnswer: 23.630046374605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 - 41. Let o = a - 97.0000463. Round o to six dps.\nAnswer: -0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -24*z - 9. Let j be t(13). Let k = 462 + j. Let l = 238 + k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 6*k = 65. List the prime factors of k.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 31736.\nAnswer: 190416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 5196*k - 10400.\nAnswer: 2*(k - 2)*(k + 2600)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyyddldyd. Give prob of picking 3 d.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/912 and -137\/2508.\nAnswer: 10032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*w**3 - 613*w**2 - 5328*w + 511664849?\nAnswer: 21*w**2 - 1226*w - 5328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -51, -83, -119?\nAnswer: -159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3869, -3715, -3459, -3101?\nAnswer: -2641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 1368?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 5:57 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -177 - -166. Is v less than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0*m**3 + 0*m + 0*m**4 - 1\/180*m**6 - 1\/210*m**7 - 5*m**2 - 1\/1008*m**8 + 0*m**5 + 0. Solve y(d) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4981 or -64756\/13?\nAnswer: -4981","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 376403.1 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a hour in seconds?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 685009044.6 - -2648.\nAnswer: 685011692.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r + 17. Let l be y(12). Let s = l + 7. Suppose s = -d + 4*d. What is the second biggest value in -2\/19, d, -5?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**20*c*c)\/(c\/(c\/c**2)))\/(c\/(c*c\/(c\/c**(2\/35)*c))*c**(2\/11)) assuming c is positive.\nAnswer: c**(7267\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1258 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o + 5 = 16*o. Is (2\/(-5))\/(o - (-2352)\/(-2345)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53723.56ml in litres?\nAnswer: 53.72356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*z**4 + z**3 + 1725*z**2 + 5213325*z.\nAnswer: -360*z**2 + 6*z + 3450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.2448642ng?\nAnswer: 0.0000000000000002448642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -101\/12*a**4 + 27*a + 0 - 39\/20*a**5 + 0*a**2 + 0*a**3. What is the third derivative of v(u) wrt u?\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3031.\nAnswer: 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 104.398?\nAnswer: -417.592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(-3)\/z)\/z)**(-42) assuming z is positive.\nAnswer: z**126","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/6)\/(6\/(-531)). Let a = -21 + d. Suppose 3*b - 18 = 4*t, 2 = 2*b - t - 15. What is the lowest common multiple of b and a?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -1242.\nAnswer: -1\/1242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**8\/756 - 4*t**7\/945 + t**6\/270 + 2*t**5\/135 + 10*t**2. Solve y(l) = 0 for l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 90 and 930?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 17. Suppose 25*o - 29*o = y. Is o <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**6\/3 + 2*c**5 + 2*c**4 - 32*c**3\/3 - 32*c**2 - 32*c + 6. Suppose g(b) = 0. What is b?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 18 + -10. Is 2 + -3 + 1*u even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 252 and 812.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50917\/(-1416) + (-52)\/1248.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, x: 2, v: 2, w: 4, l: 1, s: 2}. What is prob of picking 1 w, 2 x, and 1 l?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5372\/136)\/((-2)\/20). Which is smaller: z or -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 + -1)\/((-14)\/(-10) - 1170\/675)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -122914520.4 and 0.5.\nAnswer: -61457260.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/98958 and 8\/15091095?\nAnswer: 30182190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(2\/51)*m**(2\/7)*m*((m\/(m*m*m**1))\/m*m)**(4\/7) assuming m is positive.\nAnswer: m**(422\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y + 98*y - 248 = 11*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 - 103 - 2*u**2 + 53 + 50 - 59*u**3 + 0*u**2.\nAnswer: -59*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/4 - 39*b**2\/2 + 507*b\/4 - 108.\nAnswer: 3*(b - 16)*(b - 9)*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2 + sqrt(78) - sqrt(78))\/sqrt(3))\/(sqrt(2) - (sqrt(800) + sqrt(50))).\nAnswer: sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/15)\/c*c*c\/(c**0\/c)*c)**(1\/17)\/(c**(1\/9)\/(c*c**(-1\/4)))**(-8) assuming c is positive.\nAnswer: c**(-3781\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -224*r + 278?\nAnswer: -224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, t: 7}. Give prob of picking 4 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 12 - 2 - ((2 - (-6 + -1)) + 117)\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 4*w - 8, -6*f + 5*w - 10 = -3*f. Let p be (f + -2)\/(3 - 2). Is -5\/8 <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46269674?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 165 and 180.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 65. Let v be 141 + 4\/p - 3. Let f = v + 11. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 934 + 5?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = d - 2*c - 19, 5*c = 5*d - 35. Suppose -8*t + 41 = 1. What is the lowest common multiple of d and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b - 8. Let c be i(-11). Let p(x) = -2*x**3 + 13 + c*x**3 + 0*x + 10*x - 12*x**2. Let o be p(11). Solve t - 5 = -o*a, 0 = -3*t - a - 1 - 9 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11\/6? (a) 1\/2 (b) -0.1 (c) 2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35 (base 6) to base 11.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2. Let u be (-1 - 4)\/(-2 + 3). Let t(l) = -l**3 + 2*l**2 - l - 4. Let j(b) = u*c(b) + t(b). Let w = 1484 + -1487. Calculate j(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 4\/9 (b) 2\/5 (c) -921.8 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3 + 296*b**2 - 15*b + 14*b - 8*b**2 + 19*b + 10*b wrt b.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwpgnnnpnm. What is prob of sequence nwnn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-362)\/(-66)*(-57)\/38 + 4 and -13\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + (sqrt(567) + sqrt(567) + -1 + 4)*1)*-4)**2.\nAnswer: 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 + 0 + 37 + 24 + -65.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4 (b) -70 (c) -3 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + -85 + (47 - -15).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**3 + y + 1. Let a(w) = -w**3 - 30*w**2 - 28*w + 28. Let b be a(-29). Calculate j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159658973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8750 + 10?\nAnswer: b8760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 30744?\nAnswer: 30744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 5\/3 (b) -0.1 (c) 2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87448*t + 8740*t + 27395*t.\nAnswer: 123583*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1956672 a multiple of 129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 44 divided by -11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3887*m**3 - 7795*m**3 - 6153*m**3.\nAnswer: -17835*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:30 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*n = -195 - 577, 3 = 3*n. What are the prime factors of a?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 - 4*h**2 - h - 11. Give f(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4980 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 22*f + 184. Let o = 1 + -1. Suppose o = -4*y + 2*y + 3*b + 56, 0 = 3*y + 5*b - 46. Calculate the remainder when y is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.0217 + -0.3217. What is the biggest value in 22, x, 1\/10, -0.4?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8bc + -1c4?\nAnswer: 6c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v - 21*v + 99038. Is v 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 wrrrwrsrs. What is prob of picking 1 s and 2 r?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -1144140010?\nAnswer: 1144140004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 5*x = -20 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 1\/14*w**4 + 0*w + 11 - 2\/7*w**3 + 2\/7*w**2. Factor q(v).\nAnswer: 2*v*(v - 2)*(v - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31680 + -31679.85. What is the nearest to -4\/7 in s, 12, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 21*i**5 - 1023*i**4 - 3570*i**3 - 936*i**2 = 0.\nAnswer: -3, -2\/7, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 b when two letters picked without replacement from bddbdbbwwbbgbddgobg.\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 + 0*d**3 + 8*d**3 + 58*d**3.\nAnswer: 63*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from elwwdewwwllwwwdweww. Give prob of picking 1 e and 1 d.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - f - 21 = 0, 2*l - 4*f + 20 = -3*l. Let j be (-2)\/l - 18\/8. Let y = -110 - -105. Put j, 0, y in decreasing order.\nAnswer: 0, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -3*d**3\/5 - 2289*d**2\/5 - 1368*d = 0?\nAnswer: -760, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.198 - -24.838. Let d = -28.4 + u. Let b = 0 + d. Round b to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-39)\/9)\/(12\/177138). Let v = n + 15225031\/238. Let s = 96\/17 - v. Which is bigger: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from {r: 4, z: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 220 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*t + 3 - 38, 4*m + 28 = 4*t. Suppose 2*i - t = u - 2*u, -2*u = -i + 1. Solve -2*z - 13 = -i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*g = -53*g + 50. Put g, -34, 4 in decreasing order.\nAnswer: 4, g, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*u + 6 = 132 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 1 = -2*v, 3*v = 3*t - t + 1. Let i = t - -14. Suppose 0 = 2*u - i - 1. Calculate the smallest common multiple of u and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/4)\/(2\/12). Let g be -24 + 3\/(m - 0). Let z = 37 + g. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**2 + y - 41. What is h(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215*n + 216483 = 4923. What is the greatest common factor of n and 574?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/63 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4 - 660881*o**3\/2 - 6824453405*o**2 - 1706103025*o\/2.\nAnswer: -o*(o + 41305)**2*(8*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10464 + -22064. Let i = -20975 - c. Let j be i\/10*8\/(-3). What is j rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222 + 27 = -39*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**2 + 133*d - 787. Determine g(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0) + -1 + 1 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2*2)\/(-1 + -1). Differentiate -13 + a*w + 11 + w with respect to w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 819052 divided by -829?\nAnswer: -988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 120.1 * -1\nAnswer: -120.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 s, and 1 y when three letters picked without replacement from {y: 2, x: 8, s: 2, t: 4, v: 3, w: 1}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28744318 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -192 + 212. List the prime factors of 4*2305\/r + 5.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*p - 15, 2*p - 24 = -2*p - 5*r. Suppose -j + p = -2. Solve b - j*b = 0, -5*z = 5*b + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2332974 and 658?\nAnswer: 109649778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -2*x - 4921, 4*i + x + 1642 = 5*i. Let h be -1 - 5\/(-2) - i\/2. Let d = h - -1820. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-8 - (-7 + 2))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/9*(-3)\/2. Let p = -5 + s. Sort -2, -1, p.\nAnswer: p, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1110 + 102031?\nAnswer: 103201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 4:36 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-21) + 1 + 4390\/35. Let t = s - 117. Calculate the highest common factor of 290 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -49 in 3, -4, -0.45, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -360 + 374. Suppose g*x**4 + 54*x**3 + 3*x**5 - 15*x**3 + 4*x**4 - 24*x**3 = 0. Calculate x.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8.8, -0.183, -0.4, -2, -3\/2 in descending order.\nAnswer: 8.8, -0.183, -0.4, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1339 (base 14) to base 8.\nAnswer: -6467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-4 - 11 - -2). Let r = z - -219. What are the prime factors of r?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -54 + 23 + 9 + -16 - -12?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 11*k**2 - 18*k + 22. Let b be o(15). Suppose 645*w = b*w. Solve -v - 4 = -0*v - 2*i, 2*v + 5*i - 10 = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 17*l - 36. Let a be j(-19). Let h = 81 - a. Suppose 161 = 8*n - h. What is the highest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.15 (b) -2 (c) 127 (d) -4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2261*l**4 + 4739*l + 17702113 with respect to l.\nAnswer: -9044*l**3 + 4739","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 64 - 16. Suppose 3*b = 2*z + 2, q = 5*z + 2*b + 8. What is the biggest value in 0, z, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 3*w - 2. Let g be a(5). Solve -k = 3*k - g for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d + 56. Let q be l(14). Suppose -3*w + 645 = -q*w. List the prime factors of w.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*b = 6*b - 12 + 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 a when two letters picked without replacement from tsnca.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-6)*j))\/j**(4\/7))\/(j**0)**(-1\/50)*((j\/(j\/j**8))\/(j**5\/j))\/(j**(-1\/2))**20 assuming j is positive.\nAnswer: j**(136\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u**3 + 5*u**3 + 4*u**3)*(1 - 1 + 2)*(4*u - 4*u + u + (2 - 3 - 1)*(u + 5*u - 2*u)) to f + w*u + p*u**4 + b*u**3 + m*u**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + a5a25aaa?\nAnswer: a5a25aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1399954 and 27542?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1130*u - 381*u + 399 = 381*u + 375*u for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 PM and 9:36 PM?\nAnswer: 509","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-14*u + 26 + 58*u - 12*u - 17*u - 16*u).\nAnswer: 2*u - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + c = -83, 5*c - 61 = -4*r + 2*r. Calculate the smallest common multiple of 6 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -515*a - 30433. What is p(-55)?\nAnswer: -2108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-14) - 9\/21. Suppose -v + 4*w = -20, 3*w + 143 = v + 127. Which is the biggest value? (a) v (b) k (c) -2\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13ab (base 16) to base 4\nAnswer: 1032223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 - (93 + 176 - 127)?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 + 2*c. Let o(x) = 12*x - 26*x + 8*x**2 + 16*x. Determine 5*a(p) - 4*o(p).\nAnswer: 3*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1660608 and 573264?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*b**3 - 2*b**2 + 4*b**4 - 2*b**4 + 22*b**3)*(3*b + 2*b - 4*b).\nAnswer: 2*b**5 + 2*b**4 - 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-249)\/(-10055)*(-15483)\/(-54). Let z = 2\/6033 - w. Find the common denominator of z and 59\/4 - 2 - -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 555 by -185.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3*4*-2*(3 + sqrt(6)\/sqrt(3) + sqrt(2) + 2)**2*-2 + 5).\nAnswer: -1579 - 960*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*u + 3*u**4 + 32*u + 6*u**4 - 24*u + 24*u + (-2*u + 3 - 3)*(2*u**3 + 2*u**3 - 3*u**3) + u**4 - 2*u**4 + 3*u**4.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100083850?\nAnswer: 2, 5, 2001677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/5 + 249166276*u**2\/5 + 1552095777559448*u - 3104191754451920.\nAnswer: 2*(u - 2)*(u + 62291570)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, -6, -7707, 0, 1, 3 in descending order.\nAnswer: 52, 3, 1, 0, -6, -7707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 e when three letters picked without replacement from keqeqjqjee.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/60)\/((-8)\/(-36)*-11*3)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 12 + 48 = 0. Suppose 3*b - t = -0*b. Let f(z) = -z**3 - 8*z**2 - 7*z + 2. Let v be f(-7). Solve 0 = v*h - b*h - 8, 5*p - 2*h - 18 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -223\/400 + -17\/400. Let o = 9.07 - 0.07. Put -0.1, i, o, -4 in increasing order.\nAnswer: -4, i, -0.1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-14)\/35 + 17\/5. Suppose -w*x = x - 124. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f + 3 + 3 - 2. Let q(c) = -c**3 + 16*c**2 + 52*c - 589. Let m be q(17). What is z(m)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4825*l**2 + 9657*l + 10. Determine g(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176 = -504207*q + 504241*q - 606 for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 14*q - 38 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2981, 2982, 2983?\nAnswer: 2984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 4*q**4 + 0*q)*(0*q - 3*q + q + (q - q - 2*q)*(3 - 2 + 0) + q - q + 2*q + 1 - q - 1).\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10187, 10185, 10179, 10169?\nAnswer: 10155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -23 + 10 + (2 - (-1 - -8))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/(c*(c\/(c*c**(-5)))\/c*c*c)))\/c*c\/(c\/c**(-1\/3)))\/(c**0\/c)**41*((c*c\/c**6)\/(((c**0\/c)\/c)\/c))\/(c*c**0)**(-6) assuming c is positive.\nAnswer: c**(155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 562 + -563. Which is the nearest to -1? (a) 1 (b) -2\/7 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12721.\nAnswer: 12721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 + 3*x**2 + x**3 + 32 - 2 + x**2 to l*x**2 + y + u*x**3 + v*x and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (sqrt(484)*2)\/sqrt(11)) + -1 + 2*(3 + sqrt(2156) + sqrt(2156)))**2.\nAnswer: 540*sqrt(11) + 32101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggzgggqzq. Give prob of sequence zz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 + 450*t - 223*t - 4*t**2 - 229*t + 15 - 65*t**3 in the form b*t + k*t**2 + h + a*t**3 and give a.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 1. Let h = 7 - 2. Let c = -6 + h. Sort c, l, -1\/2.\nAnswer: l, c, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 2*o = -100. Let n be o\/(-3)*3\/(-2). Solve n*p - 5 = 4*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/134 and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(945\/(-28))*((-21)\/(-26))\/7.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + 4 + (-6)\/3 + -1. Solve l = -3*a + 5*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-18 - (-16 - 10))) + 13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a = -28*a + k - 8, -14 = -4*a - 3*k. Solve -5*d + 30 = a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -761, 300.4, -2\/3, 1?\nAnswer: -761","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/10 + 81\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65000 and 715?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2689039200 and 5952?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/3 - (5 + 10\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16400.691 + -16394. What is v rounded to one dp?\nAnswer: 6.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -83, 56, 5 in descending order.\nAnswer: 56, 5, 3, -3, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + (2 - 104\/(-4)). Let v = b - 34. Are -14\/5 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssn when four letters picked without replacement from ecsnyxx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 - 7*h**2 - 2*h - 10. Let l be o(-7). Let y(s) be the first derivative of s**2 - 3*s + 4. Calculate y(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 3*f. Calculate s(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**4\/9 - 28616*w**3\/3 + 447383716*w**2\/9 + 47337045056*w\/3 + 10945722298624\/9 = 0.\nAnswer: -152, 10883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137*1608.\nAnswer: 220296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 117 and 33849.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 257453 is divided by 1334.\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.9301 - 13.04. Let d = -0.102 - b. Round d to three dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v*y**2 - 4*v*y + 5*v - 6*y**2 - 4*y + 2 wrt v?\nAnswer: y**2 - 4*y + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20*(-14)\/(-175)*(-10)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1692*r**2 - 977*r**2 - 713*r**2.\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8799944, 17599888, 26399832, 35199776, 43999720?\nAnswer: 52799664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4768 times 0.3\nAnswer: -0.14304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -59\/210 + 4\/35. Let q = -178 + 177.6. Which is the nearest to z? (a) q (b) -1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 955 divide 99421230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -z - 0*z + 21, -17 = 3*z + 5*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57 by 604.\nAnswer: -57\/604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 - 1 - -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4375175 and 9170.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 8*j**2 - j. Does 6 divide d(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmfmfff. Give prob of sequence fmmf.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19*m**3 + m + 0*m + m - m - 2*m**2 - 44 wrt m.\nAnswer: -114*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0521 + -2.0521. Which is the second biggest value? (a) -3 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-10)\/(-6))\/((-4)\/(-12)). Suppose t + l = 3*w - 15, -t = 5. Solve -2*q = -7*q - w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(-8\/11)*s*s*s)**(2\/7)\/(s**12\/s**(-16)))**8 assuming s is positive.\nAnswer: s**(-16496\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q. Let o be b(3). Suppose -o*l + 38*m - 43*m + 21 = 0, -1 = -2*l + m. Determine a so that 1\/2*a**2 - 3\/2*a - l = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 514066 and -0.2.\nAnswer: -102813.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9172*p + 2*s - 54 = -9177*p, -p + s + 8 = 0 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6759063 is divided by 689?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 2\/5, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107087 is divided by 46.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 5*b**4\/4 - 5*b**3 - 1260*b**2 - 19440*b + 3607. Factor h(k).\nAnswer: 5*(k - 27)*(k + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -49, -24.\nAnswer: -49, -24, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xxxxxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 409869 and 6255?\nAnswer: 284858955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + x = -80 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 9*a**3 + 7*a**2 - 6*a + 1. Let y(h) = 13*h**3 + 11*h**2 - 10*h + 2. Let n(w) = -8*s(w) + 5*y(w). Let x(k) = k**3 + k - 1. What is n(t) + 2*x(t)?\nAnswer: -5*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 120201210122 (base 3) in base 8?\nAnswer: 1134660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 + 4*d**4 - 2*d**4 + 15*d**4 - 56*d**4 - 56*d**4 + (-d + d + d)*(0*d**2 + 0*d**2 + 2*d**3) + d**4 - 2*d**4 + 2*d**4.\nAnswer: -96*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 9 = 0, -2*w - 3 = 2*q - 15. Suppose 3*k + 3*l + l - 15 = 0, -l - 48 = -5*k. Let j = k - q. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 238 + 117. Suppose 0 = -16*f + 429 - 141. Calculate the remainder when z is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c**3 + 40 - 174 + 8*c**3 - 778*c**2 + 776*c**2 - 14*c**3 in the form g + v*c**2 + p*c**3 + i*c and give g.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -259, -398, -541, -688, -839, -994?\nAnswer: -1153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36107419*z**3 + 444858838*z**2?\nAnswer: 216644514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 16*z - 31. Let d be g(6). Let n = d - -88. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.1, -4, -3\/4, 1215, 106?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -2) + -4 - (-15 + 18)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68369824?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*r - 38*r - 198884. Is ((-11)\/22)\/((-2)\/r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -9*u**2 - 602*u + 79. Let c be v(-67). Let m(f) = 2*f**3 - 21*f**2 - 33*f - 27. Calculate m(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 2 = -0*j + j, 15 = 5*r - 5*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -165707\/2856 - -52\/357. Let o = v - -58. Which is smaller: o or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 24 = -2*z - 0*z, -5*z = -x + 14. Let n be (6\/4)\/(3\/4). Solve 2*y - x*y = n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511142 divided by -6?\nAnswer: 251857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -45 + -5?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3099, -3231, -3327, -3369, -3339, -3219, -2991, -2637?\nAnswer: -2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 381162751 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7044813 and 126806634.\nAnswer: 126806634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10496 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(240)\/sqrt(192))\/(sqrt(70)\/sqrt(112) - (sqrt(10) + (sqrt(10) - sqrt(90)\/(sqrt(9)*2 + sqrt(9))))).\nAnswer: 6*sqrt(2)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -72, -67, -60, -51?\n\"Answer: z**2 + 2*z - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44341.1 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -1, 580, -2, 1374 in increasing order.\nAnswer: -2, -1, 0, 1, 580, 1374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-88)\/88)\/(35\/15)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -138714, -277420, -416126, -554832, -693538?\nAnswer: -832244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 1:33 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22305?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 8050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 101943 and 17866053.\nAnswer: 2169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/5)\/(q**(1\/5)*q)*(q*q**(2\/13)*q)\/(q*q**(-4)) assuming q is positive.\nAnswer: q**(231\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72 - -67. Let w be (-25493)\/(-65) + (-4)\/z. Suppose u - 252 = r - 646, -w = -r + 2*u. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -2710*p**2 + 1084*p + 1084. Let h(i) = -2*i**2 + i + 1. Calculate 1084*h(f) - y(f).\nAnswer: 542*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:59 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l. Let q(y) = 2*y - 3. Let t(p) = -6*o(p) + q(p). Let j be t(3). Let c = j - 19. Solve x = 2*g - 5, 5*x + c*g - 7*g + 5 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 455, 1054, 1915, 3050, 4471, 6190, 8219?\nAnswer: 10570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1353778 divided by 986\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*s = -76*s - 156 + 156 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*l*v**3 + 5*l*v**2 - 23*l - 954*v**5 + 6*v**2 wrt v?\nAnswer: 24*l - 57240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 267.3092 millennia?\nAnswer: 3207710.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225684.\nAnswer: 2, 3, 6269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7667643 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 16202.\nAnswer: 291636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*t - 5*b + 1, -t - 5*b - 9 = 0. Let q = t - -2. Suppose 3*w - q*w + 85 = 0. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -194721 + -1724607?\nAnswer: -1919328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 54 and 1022031.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*p - 22, 3*t - 5*p - 4 = 9. What is the first derivative of -2*v**3 - t*v**3 + 3*v**3 - 10 wrt v?\nAnswer: -15*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.02242372 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32217?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/9*(-9)\/4. Does 5 divide ((-15)\/2)\/((-9)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147.724 + 0.276. Let m = h + -137.7. Round m to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 11) + -4 + 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 28c?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/4*(-52)\/78?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 383412.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p + 2. Let f = -994 + 989. Let a(z) = 7*z + 2. Determine f*l(j) + 4*a(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 155, 153, 151, 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/3 + (-18)\/6. Let a = 11455 - 11455.4. What is the nearest to 2\/11 in a, f, 0, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/13, -1, 525, -5?\nAnswer: 525","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/(-4) - (-1)\/(-4). Let f = 21 + c. What is the greatest common divisor of 115 and f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - b - 17 = 0, -s = 7*b - 12*b - 21 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 0, -34, -100, -204, -352?\n\"Answer: -n**3 - 10*n**2 + 3*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in -1, -2, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 284b7 (base 15) to base 12.\nAnswer: 62a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.2 + -3. Let z = -17 + 22. Which is the second smallest value? (a) -2 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -df?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 2*b**2 + 2*b)*(b - 2*b + 0*b)*(3 - 1 - 1)*(1 - 1 + 2).\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 5*f + 11. Let j be w(-7). Let c = j - -3. Is (-14)\/c + 318\/9 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {u: 4, p: 2, f: 2, s: 4, j: 2, k: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -18, 44, 162, 354, 638?\nAnswer: 1032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (22 + -24)*93\/(-2)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 194, -5, 6, 5 in descending order.\nAnswer: 194, 6, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32 and 1576?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -2)\/(-5) - 46. Let w = 52 + a. Suppose 0 = 2*k - 0*k - w. Solve 3 = s - k*j - 5, -s - 8 = j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-480)\/45*33\/(-2) is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4*p - 0*b - 17, -2*p + 5*b = 31. Calculate the common denominator of 15\/2 and p\/18*48\/(-184).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/48 - 2\/((-6)\/(-5))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(256\/(-320) + 164\/(-20))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.041232 + -1.958768. Let u = 69 + -346\/5. What is the third biggest value in u, l, 1, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/1060)\/(624\/3120).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1122 - 12103110?\nAnswer: -12104232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17793 smaller than -119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -928, 0, -958 in ascending order.\nAnswer: -958, -928, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1306.52 rounded to the nearest 100?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of -a**4\/8 + 14*a**2 + a. Let t(k) = -5*k**2. Calculate t(u(j)).\nAnswer: -45*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -14*h. Let p be b(-2). Suppose -u - 3*u = -p. Solve -2*w - 2*w = -k - u, 3*k = w + 12 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/38, -0.3, -2\/47?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4723727.\nAnswer: 4723727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47\/5*q**2 + 13*q + 0 + 1\/5*q**4 - 17\/5*q**3 = 0 for q.\nAnswer: -1, 0, 5, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (18 + -9 + 12 + -30)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 - 130*v**2 - 688*v - 312.\nAnswer: -2*(v + 6)*(v + 26)*(2*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26963\/9 - 2999. Is -2 > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-105)\/(-40) - 3 - (-9)\/36.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3\/209 + 403\/1045. Let x(w) be the first derivative of 7 + 0*w**4 - 13\/2*w**2 + 0*w**3 + 0*w - c*w**5. Find the second derivative of x(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {o: 1, a: 4, x: 1, u: 1, w: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*z + 2. Let l(y) = -y**3 - 9*y**2 - 9*y - 10. Let c be l(-8). What is the remainder when (-4)\/(-3) + c\/(-3) is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -336 + 321 = -s. Let o(m) = -10*m. Let l be o(-3). Let i = l - s. Put 1, 2, i in descending order.\nAnswer: i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:17 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/9887 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/3)\/h*h**(-6\/5)*h**(2\/19)\/h**(-15) assuming h is positive.\nAnswer: h**(3583\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 + -28. Let y be ((-2)\/(l\/(-3)))\/(45\/330). Let 7*t**2 + 30*t**5 - 24*t**2 - 33*t**3 + 33*t**4 + 3*t - y*t**2 + 6 = 0. Calculate t.\nAnswer: -1, -1\/2, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14\/9)\/(v**(-11)*v)*(v\/v**(-11)*v)\/v**(5\/8))**(33\/4) assuming v is positive.\nAnswer: v**(16489\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 2*b + 3. Let x(z) = 53*z**2 + 3*z + 0*z + 4 - 52*z**2. Let c(m) = 5*n(m) - 4*x(m). Let l be c(-1). Put 9, -2, l in descending order.\nAnswer: 9, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 5:35 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by 54?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 5. Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/160)\/((-6)\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.3 (b) -3 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 181549827 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2121, -2143, -2167, -2193, -2221, -2251, -2283?\nAnswer: -2317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 + 57*x + 60)*(2*x - 5*x + 6*x).\nAnswer: 171*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -864+151196\nAnswer: 150332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 + 5*v**2 - 3*v + 2. Let b be -30*(575\/(-15))\/(-5). Let l = -38 - b. Let k be l\/(-72)*-3*1\/2. Determine o(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 393703116.\nAnswer: 2, 3, 1481, 22153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -7*r + 94. Let l be b(14). Let f be -14*l\/8 + 7. Solve -f*t = -12*t - 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 754 divided by 3\nAnswer: 754\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.689 to 1 decimal place.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**4\/5 + 3*q**3\/5 - q**2 - 3*q\/5 + 4\/5 = 0. Calculate q.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 30 = -5*j, 4*j - 2 = j + 2*r. What is the tens digit of 68 - 11 - (0 + j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*k**2 - 37*k**2 + 14*k**2)*(-2*k - 26*k + 16*k) to the form n*k + h + g*k**3 + z*k**2 and give g.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3\/8 - 44025*x**2\/4 + 161538729*x\/2 - 161494707.\nAnswer: 3*(x - 14674)**2*(x - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -69394684.\nAnswer: 346973420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2957500*x**4 + 5542146 wrt x?\nAnswer: -11830000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**4 + n**3 + n**2 - 4*n - 1. Let x(t) = -4*t**4 - 2*t**3 - 2*t**2 + 309*t - 633. Let b(a) = -2*i(a) - x(a). Find the first derivative of b(c) wrt c.\nAnswer: 8*c**3 - 301","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 45*f = -8*f. Let h(i) be the first derivative of -i**5\/120 + i**3\/3 + 3. Let p(w) be the third derivative of h(w). Determine p(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*t - 4*g, 0*t + 5*t - 24 = 2*g. Suppose 0 = t*m + 2*k - 2770, -2*m + 90 = -5*k - 1325. Suppose -235 = -10*v + m. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**2*x)\/x**6)**46\/((x**(-2)\/x)\/(x**(-2\/5)\/x)*x**(2\/11)*(x\/(x*x**(1\/2)*x))\/x) assuming x is positive.\nAnswer: x**(-14749\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3\/7 - 446*c**2\/7 + 40953*c.\nAnswer: -c*(c - 357)*(c + 803)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, -4\/7, -0.3, 0.1, 3 in descending order.\nAnswer: 63, 3, 0.1, -0.3, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = h - 11 - 3, 0 = -2*h - x + 10 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(308)\/(2*sqrt(11)) - sqrt(196)\/sqrt(252))\/((sqrt(16) - sqrt(256)*6)\/(1*sqrt(576) + sqrt(576) + sqrt(4))))**2*-6.\nAnswer: -8750\/1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 52 - 13. Let f = n + -28. What is the remainder when 32 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -192317757*b**2 - 159348*b - 273?\nAnswer: -384635514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -12109*t. Let a(r) = -133*r**2 - 1. Determine a(q(x)).\nAnswer: -19501508173*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 0 + 2 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25861170148809 and 0.4?\nAnswer: 25861170148809.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w + 3. Let x be -12*((-9)\/6 + 1). Calculate j(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 4. Suppose -z + 5*z + 5*j + l = 0, -5*z - 20 = j. Let g(p) = -p**2 - 6*p - 6. Let n be g(z). What is the second biggest value in n, -0.3, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zisiiiizz. What is prob of sequence ii?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 8*t**2 - 3*t - 6. Let z be g(-4). Let s(n) = n**2 - 2 - 6*n + 3 + 2. Let m be s(z). Solve 0*q - m = -q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(2*4\/(-188)). Let i = -27 - o. Let l be ((-15)\/i)\/((-30)\/(-16)). Which is the closest to -3? (a) -1\/6 (b) l (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -639*o - 11*o + 36567 - 167 = 0 for o.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 + -237. Let f = m - -102. What is the highest common factor of f and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z + 3. Suppose -y + 4 = -u, y - u - 4 = 3*u. Let t = -145 + 143. Which is the closest to t? (a) -2\/11 (b) z (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1546489151.\nAnswer: 18371, 84181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a**5\/5 + 342112*a**4\/5 + 684192*a**3\/5 - 1368448*a**2\/5 - 2736832*a\/5 = 0.\nAnswer: -85526, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -79*k**2. Let j(y) = -1216821*y. Determine q(j(t)).\nAnswer: -116971614337239*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-812)\/(-18) + (-15870)\/14283.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2\/7 + 102096555*r + 714675882\/7.\nAnswer: 3*(r + 1)*(r + 238225294)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 3 - -2 - (-28 + 28).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 3, h: 1}. Give prob of sequence cnnn.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 394*l**6 + 5*l**2 - 19.\nAnswer: 47280*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/13, -97, 4, -2\/3, -6, 228?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 32 times 11470141\nAnswer: 367044512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 702*d**3 + d - 553 + 552 - d.\nAnswer: 702*d**3 - 5*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 9595087.295 to the nearest one hundred.\nAnswer: 9595100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 389 + 49 = 0. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 + 1 + 7)*(-2*x**2 + 6*x**2 + 0*x**2) to the form k*x**2 + i*x + v and give k.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/16 - (-92)\/32. Let z be (-1372)\/245*(6 - 1). Which is the closest to t? (a) 0 (b) z (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -37 - 161. Let s(h) = f + 17*h**2 - 18. Let v(q) = 3*q**2 + 5*q + 5. Let x(l) = -l**2 - 2*l - 2. Let t(b) = -2*v(b) - 5*x(b). Calculate t(s(n)).\nAnswer: -289*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**2 + 13*x + 150. Give l(-6).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -867598*j**4 + 485994 wrt j.\nAnswer: -3470392*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28929.\nAnswer: 3, 9643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 257, 516, 775?\n\"Answer: 259*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 + 70. List the prime factors of m.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u - u + u. Let q be i(-1). What is the third derivative of -5*m**6 + q*m**2 - 4*m**2 + 4*m**6 wrt m?\nAnswer: -120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m = 26*m - 28 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1 = 146. Suppose -5*j + h = 3*k, 3*k - 5*j + 0*j = 19. Calculate the smallest common multiple of 96 and k.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 290597443 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12213 = -4419*j + 3888*j for j.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -526 - -12625\/24. Let f(p) be the second derivative of -y*p**4 + 11*p + 0 - 1\/6*p**3 + 0*p**2. Factor f(a).\nAnswer: -a*(a + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12722*k + 40969 - 4944*k - 1152*k - 40969 + (-2*k + 3*k - 4*k)*(-1 - 1 + 3).\nAnswer: -18821*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 5284134*k**2. Let a(n) = -4*n. Give q(a(i)).\nAnswer: 84546144*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 56079, 224326, 504739, 897318, 1402063, 2018974, 2748051?\n\"Answer: 56083*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-2*sqrt(7)) + 1.\nAnswer: -sqrt(3)\/2 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03195 to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = w, t + 9*w = -3*t + 14*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/((2\/14)\/((-9)\/(-63))). Let w = 4 + -9. Let j be ((-3)\/w)\/((-4)\/(-140)). Solve i - 2 = 0, 4*f - 1 = -r*i + j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*g + 120*g - 22 = -3*y, -16 = -4*y. Solve 0 = 5*f - 4*f - 3*j + 17, -g*f - 29 = -j for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -7*m + 1 - 8*m + 16*m - m**3. Let s(t) = -t**3 - t**2 + 2*t + 2. What is -4*r(b) + 2*s(b)?\nAnswer: 2*b**3 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 2. Let j be 3 + (-7 + 3 - -6). Suppose 6 - j = s. Calculate the greatest common factor of s and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-40)*(-3)\/(-5)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 902393 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*x + 213*x - 104 = 0. Let v = 5 - 4.6. Let u = 1 + 0. Which is the closest to -0.4? (a) u (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 406265*a = 405896*a + 17343 for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/6*(1 - 7). Put 1\/3, 2, g, -4 in ascending order.\nAnswer: g, -4, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -0.1, -4, 4\/5, 0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1260*z = -8293 - 4489 + 3962 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 17*x + 19. Let h(l) = 3*l - 5*l + 7*l - 9. Let g be h(5). Let f be n(g). Solve -i = 2*y - 6, -y + 5*i + 0 = -f for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + n = -969 - 1425, 2*j - 1196 = n. Is j a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115*o - 6*o - 13*o + 435 = 11*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2270.900609 - -2270.9. Round t to 5 decimal places.\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 + -9. Solve -15 = a*d + 1 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20924 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2530 = -97*n - 4567 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d - 7*d - 4*d)*(-87*d**4 + 84*d**4 - 238*d**4).\nAnswer: 1928*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g - 2*g + 5*g**2 + (2 - 2 - g**2)*(7 + 4 - 5).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*n + 45*n - 63*n.\nAnswer: -42*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.66851061 rounded to 2 dps?\nAnswer: -6.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 9659, 19380, 29101, 38822, 48543, 58264?\n\"Answer: 9721*h - 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**10*v*v)**14*v**(2\/59)\/(v**(-2\/21)\/v) assuming v is positive.\nAnswer: v**(209551\/1239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18058516 and 296.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*n**4*s - 4*n**2*s - 3*n + 29*s - 4 wrt n.\nAnswer: 132*n**2*s - 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4356 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5166317 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 11:00 PM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-6761342)\/(-161) + (-1)\/4*272\/(-782)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j**4 + 1 - 2*j - 5 + 4 + 2 in the form d + u*j**2 + a*j**3 + o*j + t*j**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 27511 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -3*m + 8. Let z be (-365)\/(-150) - m\/12. Which is the nearest to -0.1? (a) -2\/3 (b) z (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 1 + 2)*(-4 + 1 - 5)*(-o - 5*o + 7*o)*(0*o**3 - o**3 + 3*o**3) as t + p*o**2 + s*o**4 + g*o**3 + k*o and give s.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.5 - 0.3. Let a = -3 - -7.1. Let h = a + -4. Is l smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13277970 divided by 147533\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u + 36 = 0. Suppose 3*f - u = -3. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, v: 1, n: 4, u: 3, h: 9}. What is prob of picking 2 u and 1 v?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 490*z - 607*z + 166*z + 3085*z to the form p + a*z and give a.\nAnswer: 3134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 23 + -89. Let s = w - -61. Which is the closest to 2\/7? (a) 27 (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 264 + 221. Suppose -w = 2*s + 363. Let z = s - -602. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2770 and 247638.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -578 + 684. Suppose -g = -10*d + 114. Let c = 293 + -73. What is the greatest common divisor of c and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19310, -38618, -57914, -77192, -96446, -115670, -134858?\n\"Answer: t**3 - 19315*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/11 - 58*h**2\/11 - 72*h\/11 + 360\/11.\nAnswer: 2*(h - 30)*(h - 2)*(h + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -169. Let p be (-100)\/u + (-1)\/(-2). What is the biggest value in 1\/5, p, -3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + v = 1, 0 = 2*s - 5*v + 3. Let t(g) be the first derivative of g**3\/3 + 2*g**2 + 3*g - 1. Calculate the least common multiple of t(s) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -954653 by 1.\nAnswer: -954653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -116*n**2 - 50688*n + 1748 = 0.\nAnswer: -437, 1\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2487997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4568)\/(-6861) + (-18)\/27. Let c = q + 9262\/130359. Is 0 at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19664 divided by 821.\nAnswer: -19664\/821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.9 - 0.1. Which is the nearest to 2? (a) 0.4 (b) n (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 21*l**2 - 49*l + 106. Let s be p(9). Suppose 3*b = -20 + 59. What is the highest common factor of s and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -197?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -12, 0, 10, 12, 0, -32, -90, -180?\n\"Answer: -j**3 + 5*j**2 + 4*j - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3*w + 28 - 0, 2*w = 4*y. Solve -2*c = -y*i - 8, 9*i + 8 = 7*i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 - 7\/(21\/(-6)). Let z be (-2)\/(0 - 8\/m). Suppose 1\/4*r + 1\/4*r**5 - 1\/2*r**3 - 1\/4 - 1\/4*r**4 + z*r**2 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -9\/98 (b) 5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -6*w + 3*w, -5*m - 5*w - 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86 - 719 = -156*p - 160 + 619 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -28\/9? (a) 42 (b) -3 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*k**3\/4 + 51*k**2\/2 - 135*k\/4 + 27\/2 = 0. Calculate k.\nAnswer: 6\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266861 is divided by 88919.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2278946 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 527, 1052, 1577, 2102, 2627?\n\"Answer: 525*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1741\/8 + -218. Let t = -12.9 - -13. Let n = 0.2 - t. What is the biggest value in n, -1\/3, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 164*m - 3. Let p(i) = i + 562448. Give p(a(l)).\nAnswer: 164*l + 562445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - m = 6*t + 3, -2*t = -4*m + 18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4dad1d (base 14) to base 4\nAnswer: -22032132033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = 3*l. Let o be 15\/4 + (-9)\/l. Calculate the highest common factor of 9 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 589.732 to the nearest ten.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -378*r + 114*r - 199*r - 204*r in the form h*r + d and give h.\nAnswer: -667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 + 76*r + 79. What is l(-24)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*w**2 - 4*w**2 + 7 - 2 + 4*w**2 as g + j*w**2 + u*w and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -165*i*l*s**2 + 3*i*l + 2*i - 10*l*s - 2*l wrt s.\nAnswer: -330*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 22, 549?\nAnswer: 549","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4435650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of 5 + 0*b + 5\/2*b**2. Let x(w) = -w. Calculate x(f(h)).\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9.8245 from -484.\nAnswer: -493.8245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9742728 is divided by 1492.\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 10907*o - 37 + 5.\nAnswer: -10907*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 1788?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l*x**4 + 11462*l*x**3 - 12607*l*x**2 - x**2 wrt x.\nAnswer: 48*l*x + 68772*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 4*l = -l + 4*l + 8, -16 = 4*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-3)\/h**1*(h\/h**(1\/2)*h)\/(h\/h**(-2\/9))*((h\/(h*h**(-2\/7)))\/h)**42\/(h**1)**(-4\/15) assuming h is positive.\nAnswer: h**(-3011\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(6*-1*((sqrt(275) + (sqrt(275) - (sqrt(275) - -2*sqrt(275))) + -5 + sqrt(275) - ((sqrt(275) - 2*sqrt(275)) + 3)) + -1))**2.\nAnswer: -12960*sqrt(11) + 51264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -1589764\nAnswer: -1\/397441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2 = 17. What is the remainder when b is divided by 14\/105 + (-73)\/(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1721 is divided by 133?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 111*s + 696.\nAnswer: 3*(s - 29)*(s - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*y + 0*y**2 - 129 - 2*y**2 + 7*y**2 - 68*y - 4*y**2 to m*y**2 + s + d*y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132)\/(-760) - (448\/(-32))\/(-70)?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - 1\/1 - -34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v - 1. Let s(r) = -7*r - 13. Let p(x) = -x**2 + 69*x + 3372. Let c be p(-33). Calculate c*o(l) - s(l).\nAnswer: l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -3*u + 19*u. Let q(a) = -9*a - 11. Let w(z) = 27*z + 31. Let j(t) = u*q(t) + 4*w(t). Determine j(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*l = 0, -l + 8 = 2*c - 0. Let u(y) = 5*y - 30. Let x be u(7). Suppose 5*d - 134 = c*v, -x*d + v + 7 = -121. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m**2 + 11*m**2 + m**2 - 4*m + 0*m**2 to x*m + a + o*m**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-420)\/120)\/(2\/4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 + 5*y**2 - 2. Let f(l) = -2*l**3 + 6*l**2 - 2. Let o = 15 + -12. Let k be (-32)\/4*o\/(-6). Calculate k*f(z) - 5*i(z).\nAnswer: 2*z**3 - z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10\/9 (b) 1.19 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*j**3 - 204*j**2 + 635*j = 0. Calculate j.\nAnswer: -127\/10, 0, 5\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 (base 7) in base 9?\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 806 a factor of 58320792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 divided by -6?\nAnswer: -199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3478 and 133198.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -697 + 1415. Suppose -30*t = -2*g - 34*t + 292, -q = -5*g + 2*t. Calculate the least common multiple of 48 and g.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/17)\/w**(-16)*((w**(-19)*w)\/w)\/(w\/w**(-1\/9)) assuming w is positive.\nAnswer: w**(-602\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3066533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/7 + 1472*w - 10303\/7.\nAnswer: -(w - 10303)*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - b7a26?\nAnswer: -b7a23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28560?\nAnswer: 2, 3, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 42\/2719 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 26 or 23?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -22 - 8\/(32\/(-52)). Put x, -13, -5, 4 in increasing order.\nAnswer: -13, x, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) -3 (c) -4\/7 (d) -4\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*p + 5180 = 14783 for p.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3527124 to 3 dps.\nAnswer: -0.353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wtwtoc. What is prob of sequence tcw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.93 + -21. Let y = 0.57 + z. Suppose 4*i = r + 2*r, 0 = 2*i - 3*r. What is the nearest to 2 in y, i, -1\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 2*s**2 + 13*s - 3. Let o(r) = r**2 - 12*r + 2. Calculate 2*b(w) + 3*o(w).\nAnswer: -2*w**3 - w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**5\/60 + 4*h**3\/3 - h**2. Let d be 2\/8 + (-8)\/32. Give b(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 20*s**2 + 72*s**2 + 4*s**2 + 114*s**2 + 19*s**2. Let y(f) = -3*f**2. Determine v(y(g)).\nAnswer: 2061*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*j**2 + 3*j**2 - 6*j**2 - 14 - 53.\nAnswer: 2*j**2 - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 + 17*u**2 + 117*u - 28. Let s be g(22). Calculate the greatest common factor of 7 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89326082 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7174601 is divided by 1035.\nAnswer: 1016","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299 + 596 - 313)*(-4*p + p + 4*p)*(5*p**2 - 5*p**2 - 6*p**3) + 0*p**4 + 4*p**4 - 2*p**4.\nAnswer: 98*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.846 - 0.03?\nAnswer: 56.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*y**4 + 299*y**3 + 2*y**2 - 639*y - 6505124?\nAnswer: -8*y**3 + 897*y**2 + 4*y - 639","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17408 is divided by 621.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -385*i + 10 = -375*i. Sort 30, -5, i, 5 in descending order.\nAnswer: 30, 5, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 10. Suppose n*l - 3*l = 12900000. What is l rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 262687?\nAnswer: 11\/262687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(475) - (-2*sqrt(475))**2) - sqrt(228)\/(sqrt(240)\/sqrt(5)))*6.\nAnswer: -63*sqrt(19) + 22800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19556963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 40 and 1.835.\nAnswer: 73.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -24127, -24129, -24131, -24133, -24135?\n\"Answer: -2*p - 24125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*w + j, 0 = 8*w - 5*w - 3*j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 32*m**2 - 6*m - 5. Is z(-1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 76\/6 - 12 - 138\/(-9). Solve 6*w + 10*w + v = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3\/4, -73\/3, -0.2, 3, -35 in decreasing order.\nAnswer: 3, 3\/4, 0.3, -0.2, -73\/3, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1802 divided by -53.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2625*b**5 + 792*b**4 + 12*b**3 = 0.\nAnswer: -2\/7, -2\/125, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1.26 and 1910568.\nAnswer: 1910569.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*h - 40 = 3*a, h + 56 = 5*a. What is the remainder when 46 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24880913?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*r**2 - 73*r**2 + 2 + 113*r**2.\nAnswer: -27*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, o: 5}. Give prob of picking 1 o and 1 n.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.05055, 3\/4, -0.1 in descending order.\nAnswer: 2, 3\/4, 0.05055, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -17*a + 158. Let m(r) = -17*r + 159. Let p(f) = 2*m(f) - 3*n(f). Calculate the remainder when 575 is divided by p(12).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1617 and 51891?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 120 = 16*b. Suppose 0 = 2*d - b + 14. Solve x - 18 = -d*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -338*d + 86*d - 142*d.\nAnswer: -394*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-24\/11)*t**(-2\/83))\/(t**(-43)\/t**(-8\/3)) assuming t is positive.\nAnswer: t**(104431\/2739)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -714679\/40 + 17867. Let b(o) be the second derivative of -3\/4*o**2 + 0 - o - c*o**5 - 1\/24*o**4 + 5\/12*o**3. Suppose b(w) = 0. Calculate w.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*a = -253*a + 65*a - 912. Let u = -6 - -8. Let p(k) = -4*k**2 + 0*k**u + 3 + 2*k**2 + k. What is p(a)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*w + 7*w. Suppose 0*j + 2*j = w. Factor 0 + 0*s + 0*s**j + 1\/3*s**3.\nAnswer: s**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -226266, -229935, -233604?\n\"Answer: -3669*z - 222597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 6 = 2*p - 2*x, 10 = 4*p + 5*x. Let s be p\/4*(5 - 9). Let v = 5.4 - 5. What is the closest to -2\/5 in s, 3\/4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 h and 1 f when four letters picked without replacement from ffhhhhf.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*o + 3*o - 34, -o = -3*d - 18. Suppose o*v = 481 - 49. Calculate the remainder when v is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*z - 25 - 311*z - 392*z + 218*z - 308*z.\nAnswer: -718*z - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.57 - -32. Let t = g + 23.67. Let s = 19 - t. Which is the closest to s? (a) 3 (b) -1\/4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -2)*(-20 - 121374\/(-6072))\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 115063697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by 421?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/5*(-1460)\/(-3942).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 2. Let v(k) = 3*k - 5. Suppose 0 = 5*c - 5, -2*n - 2*c - 5 = 7. Let q(y) = n*r(y) - 3*v(y). What is the derivative of q(h) wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 19009496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(77) + (sqrt(77) - 1*sqrt(77))*-2)\/(-1*1*sqrt(112)).\nAnswer: -3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -533 - -533. Suppose 2*g - 10 = -r, 0 = 5*g - q*r - 4*r + 1. Solve -x + 0*x = -g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + a + 4)*(1 - 5 + 3*a - 5*a).\nAnswer: -2*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 59106859601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192673*d + 192677*d + 7 = 5*l, 61 = 17*l + 5*d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*f + 6 = -55*f, f + 14 = 4*j. Solve 2*h + 18 = -2*r, -j*h + 159 - 178 = r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3840) + sqrt(3840) + (sqrt(3840) - sqrt(3840)*2) - sqrt(60) - -6*-5*sqrt(60))\/((-4*sqrt(48))\/sqrt(4) - sqrt(12)*4*3).\nAnswer: 23*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 45?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -15. What is the units digit of ((-7)\/h)\/(1\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -498 - -501. Let t(d) be the second derivative of -7\/12*d**4 + 0*d**y + 0 + 4*d - 4*d**2. Differentiate t(h) wrt h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -8*q**3\/3 - 7*q**2\/2 + 3*q + 1. Let r(u) = 4*u**2 + 4*u - 2. Suppose -29*l = -20*l - 34*l - 75. Give l*x(o) - 5*r(o).\nAnswer: 4*o**2 + o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-29) - 0) + (-38610)\/7830. Let u = -43\/4 - -11. Let b be 39\/(-54) + (-1)\/(-2). What is the nearest to u in g, -0.3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.76 + 0.73. Which is the nearest to 3? (a) -2\/11 (b) -0.3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 184*m - 81*m - 105*m. Let c(w) = 49*w + 261 + 266 - 527. What is y(c(x))?\nAnswer: -98*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -15, -1 in decreasing order.\nAnswer: 10, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-20)*(40\/(-12))\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (648*r + 95*r + 1 + 70*r - 1)*(-17*r + 3*r + 12*r - 39).\nAnswer: -1626*r**2 - 31707*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -136*o**2 + 401 wrt o?\nAnswer: -272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*q + 171 = -18*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 488313226 to the power of 1\/3, to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, -1, 4 in increasing order.\nAnswer: -1, 4, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11213*c*s + 119693*c + 90*s**2 wrt s?\nAnswer: -11213*c + 180*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 10 from -8121205.23.\nAnswer: -8121215.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 494 = -242. What are the prime factors of (-6566)\/t - 12\/54?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Factor -h**4 + 2*h - h + h**3 - 2*h**3 + l*h**2 - 3*h**2.\nAnswer: -h*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**3 + 5*d**4 + 0*d**2 + d**2 - d + 3*d**3 in the form g*d + v*d**3 + x + z*d**4 + c*d**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*((-253)\/(-3) + -1). Let v = a - -663. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/5595 and -49\/385638?\nAnswer: 719214870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822.\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/13 + 652*c**3\/13 - 6720*c**2\/13.\nAnswer: 2*c**2*(c - 10)*(c + 336)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 47204240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-25)\/90)\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 43 = -25. Let a = l - -20. Let v(n) = 3*n + 2*n**3 + 3 - a - 1 - 5*n - n**2. What is v(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r - 3433*r**5 - 1241*r**2 - 4948*r**5 + 859*r**5 wrt r.\nAnswer: -451320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 - -0.4. Let m = -7 + 4. Which is the biggest value? (a) m (b) 3\/8 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36219890 by -1205.\nAnswer: 30058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108 and 9.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w**3 + 2880775*w**2 - 414938908835*w - 1244842653615 = 0 for w.\nAnswer: -3, 288079","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 - 15. Let s(y) = y**2 + 8*y + 6. Let a be s(g). Let l be 1 + (-3 + 0 - a). Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4125)\/105)\/(-25) - (-6)\/14. Put 5, -15.9, k, -5, -4 in descending order.\nAnswer: 5, k, -4, -5, -15.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 191287.7872 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 2:25 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -51*o**2. Let t be l(1). Is 6 a factor of (t\/12)\/(4\/(-16))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*x**2 + 689 - 689.\nAnswer: -205*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*h**3 - 81*h**2*z**2 - 192*h*z**2 wrt h.\nAnswer: -18*h - 162*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 3\/2, 5, 7, 4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.679111 years to months.\nAnswer: 104.149332","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 5 = -16*w + 19*w, -d = -5*w + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2205500 to the nearest one hundred thousand.\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 230 - 4*w**3 + 230.\nAnswer: -8*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3124 divided by -284?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 600936010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170271071.\nAnswer: 170271071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 0*q - 8 = 0. Suppose -5*z + 6 = -q. Factor 4\/3*x - 2\/3*x**z - 2\/3.\nAnswer: -2*(x - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 12) to base 9\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*v**3\/13 + 46*v**2\/13 - 68*v\/13 + 14\/13.\nAnswer: 2*(v - 1)*(v + 7)*(4*v - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**4 - 4*l**3 - l**2 + l. Let t(c) = 217*c**4 - 8*c**3 - 2*c**2 + 2*c - 458. Let p(f) = -2*s(f) + t(f). Find the first derivative of p(b) wrt b.\nAnswer: 876*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 4*h**2 + 3*h - 7. Let q be d(-5). Suppose q*k - 5 = 1. What is the derivative of 1 - 3 - m**k + 5 wrt m?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35800 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 6. Give i(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17285.2 + 17217.2054. Let q = -82 + 14. Let w = o - q. What is w rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/34 and 16\/14535.\nAnswer: 29070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Let z = -678 + 679. Put -3, z, -2, x in ascending order.\nAnswer: -3, -2, z, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 19 - 3 = 2*t, 2*c = t. Let u(m) = m**2 - 4*m + 2. Calculate u(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -f. Suppose -26*o + 24*o - 8 = 0. What is the second smallest value in -0.5, o, f?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, 47, 76, 103, 122, 127, 112?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + 11*k**2 - 8*k - 5. Determine q(-12).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 2:06 AM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2*(sqrt(1053)*-1*4 + sqrt(1053)))**2*-2*2 + -2)*-2.\nAnswer: 909796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 4.3?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 + 5 + w**2)*(16 - 31 + 17 + 3*w**2) + 6*w**4 - w**4 - 2*w**4.\nAnswer: 6*w**4 + 23*w**2 + 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5432039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -633*v = -4*j - 628*v + 148, -2*j + 88 = v. Suppose 2*m + 40 = 7*m. Let a be (-12)\/m + 108\/8. Calculate the greatest common divisor of a and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/60 + r**4\/4 + 16*r**2 + 2*r. Give f(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c + c + 0*c + (-1 + 3 - 1)*(4*c - 2*c + c)*(0 - 4 + 2)*(-1 + 4 - 1) + (-2*c + 0 + 0)*(-2 - 4 + 5).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -24. Calculate the common denominator of ((460\/(-48))\/5)\/(1\/9) and (-5)\/10*(-10)\/a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9811 + -18511. Is y >= -8700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m\/(m*m**(2\/11)*m*m)*m**(-5)\/m*(m**(-1\/8)\/m)\/m**(-2\/11) assuming m is positive.\nAnswer: m**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*57.\nAnswer: -28.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 plus 150020.75?\nAnswer: 150020.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**3 - 2*u**2 - 3*u + 3. Let z(w) = 8*w**3 - 2*w**2 - 4*w + 4. Let h(j) = 4*r(j) - 3*z(j). Let h(f) = 0. What is f?\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/10062 and -63\/1118.\nAnswer: 10062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 11252224, 11252225, 11252226, 11252227, 11252228, 11252229?\n\"Answer: n + 11252223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + 2c?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1493\/23 + (-14)\/(-161). Solve -c*o + 152 = -46*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in i**2 - 5124*i + 10244 = 0?\nAnswer: 2, 5122","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4156)\/(-8) + 7)\/6. Which is smaller: y or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58668870 divided by -3451110.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Let c be 2*(7\/2 - 2). Let b = -2627\/35 + 524\/7. What is the smallest value in b, 0.2, z, c?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 - (-15 + (13 - (-14 + 15))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 3*c + 3. Suppose -4 = 2*n - 10. Is a(n) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t + 18. Let u(p) = -p - 1. Suppose -287 + 249 = h - 5*z, 0 = 4*z - 28. Calculate h*u(v) + q(v).\nAnswer: 2*v + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b + 10. Let i be l(-9). Which is smaller: -9 or i?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/3))**(-18)\/(s**(1\/9)\/(s*s**(3\/4)\/s)) assuming s is positive.\nAnswer: s**(239\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 1:03 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36755, -36741, -36715, -36671, -36603?\nAnswer: -36505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**3 - 6*z**2 - 11*z - 7. Suppose q - 2*q - 1 = 3*i, -4*i - 4 = q. Is r(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5463\/51 + (-12)\/102 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 72. Suppose -3 = -4*q + 5*v, p*v = -2*q + 4*v + 5. What is the third derivative of 13*a**5 - 7*a**2 + 13*a**5 + 33*a**q wrt a?\nAnswer: 1560*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - 188\/(-12)*3.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 672 = 132. Is 14 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - d - 52 = 0, 2*l + 3*l + 67 = 4*d. Let z = l - -1. Is 372\/z*55\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3\/3 - 20*r**2\/9 - 26*r + 80\/9.\nAnswer: 2*(r - 8)*(r + 5)*(3*r - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-52) + (944\/52 - -9). Suppose 135 = -0*b + 5*b. Calculate the highest common factor of f and b.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 283 - -8250. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 to the power of 1\/3, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-1 + 0))\/(-1). Let v be -1*(-60)\/5 - 12. Let t = 1\/4 - -3\/20. Which is the second biggest value? (a) v (b) t (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -36*v + 1292. Calculate o(37).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*d + 261920 = -260*d. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7691 - 4360799\/567. Let i = f - -8509\/1134. Is i at least 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.28421 in 2, -1, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 480814239.\nAnswer: 3, 12241, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -2. Let x = 10 - 3. Let d = 7.3 - x. What is the smallest value in -0.5, d, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 + 10*w**2 + 3*w - 18. List the prime factors of b(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 5. Suppose -3*a = 3 + 21. Is 11 a factor of y(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*r**3 + 4*r**3 - 10*r**3 + 33*r**3.\nAnswer: 103*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116493 - -61798. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 - 10*n**2 + 22*n - 19. Let d(z) = 3*z**2 + 23*z + 18. Let y be d(-6). Let g be u(y). Solve -3*s + 4 = -4*m + s, 5 = 3*m + g*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2 (b) -793.7 (c) -5 (d) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69538509 to the power of 1\/3, to the nearest integer?\nAnswer: 411","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 15*b**2. Let f(a) = 95*a + 2. Calculate c(f(o)).\nAnswer: 135375*o**2 + 5700*o + 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -3\/35*n**7 + 1\/30*n**6 - 3*n**3 - 1\/12*n**4 - 1\/168*n**8 + n**2 + 3\/5*n**5 + 0 + 125*n. Let g(k) = 0. What is k?\nAnswer: -9, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -282*s + 148*s + 145*s - 2*s**5 + s**4 + s**5 + 1 - 1 + (0*s**2 + 0*s**2 - 2*s**4)*(-4 - s + 4) - s**5 + 3*s**5 - s**5.\nAnswer: 2*s**5 + s**4 + 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovoiivzovevevv. Give prob of picking 1 v, 1 z, and 1 o.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 10731040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -z**4\/24 - 5*z**3\/3 + z**2. Let h be r(-9). Let x be h\/2*(-12 - 0). What is the highest common factor of 66 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 72. Suppose -15 = -0*f + n*f, 8499991 = -b + 3*f. What is b rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -6.8. Let w = m + 6. Put -4, w, -0.1 in ascending order.\nAnswer: -4, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18786399 and 3189.\nAnswer: 3189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1076425, 2152831, 3229215, 4305565, 5381869, 6458115, 7534291, 8610385?\n\"Answer: -2*a**3 + a**2 + 1076417*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxqxxqqqxvx. Give prob of sequence xqx.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t**(-45)*t))\/(t*t*t**30)*t**(2\/39)*t**(-18))**(-3\/7) assuming t is positive.\nAnswer: t**(22\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = -11*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 5.7, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Suppose -4*y - 5*r + 12 = u, 15 = 3*y + 2*y + 5*r. Suppose 2*j = y*j - 12. 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 prob of sequence pqp when three letters picked without replacement from {p: 2, q: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a micrometer in nanometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 9*w**2 + 17*w - 14. Let x be f(7). Suppose -5*d - 3*g - 386 = 0, -5*d - 4*g = -x*g + 404. Sort d, -3, -5 in descending order.\nAnswer: -3, -5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5196 - -5200. Let j(m) be the second derivative of -29\/12*m**o + 18*m**2 - 39*m + 0*m**3 + 0. Differentiate j(v) wrt v.\nAnswer: -58*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and 201870.7.\nAnswer: 201866.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from emeeemeeme. What is prob of sequence emm?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 458, 3, -5, 4, -810 in descending order.\nAnswer: 458, 4, 3, -5, -810","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 388 (b) 1\/4 (c) 15\/13 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2*(-2 - (3 + -3)). What is the first derivative of -126*j**3 - j**z + 2 + 126*j**3 wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6435 and 23932623?\nAnswer: 429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + 5*g. Suppose -139 = 4*f + 5*b, 10*b - 5*b - 5 = g. Let u = -21 - f. Solve -5*w + 1 + 14 = -2*v, 4*v + u = -5*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488063189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (6\/16)\/((-6)\/(-4))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4567 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 3*t**2 + 5*t + 6. Let b be z(-4). Let p(j) = 2*j**b + j**3 + j - 2*j**2 + 3 + j**2 - 6*j**2. Let s be (-6)\/18 + 16\/3. Calculate p(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*i - 24 = 0, -8*k = -5*k + 5*i + 72. Let m be k\/60*(1 + -11). Solve 2*s + 2 = 0, 2*q - 3*q + 7 = -m*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/792 and 85\/54?\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 - -24. Let i be (h\/2)\/(20\/(-4800)). Let k be (-13)\/((-455)\/i) - -4. Put k, 0.03, 1\/11, -5\/4 in decreasing order.\nAnswer: k, 1\/11, 0.03, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 6*y + 4. Let p be h(-6). Let a(u) = 4*u**2 - 5*u + 2*u - p*u - 1 - 3*u. Is a(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/3)\/i)**(5\/8)*(i\/i**(-6)*i)\/i*i**(-1\/3) assuming i is positive.\nAnswer: i**(155\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 133576*i - 1602903. Give p(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.09 or 13\/18?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - 4*u**2 + 3*u + 1. Is v(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.5 (c) -0.4 (d) 15.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -y. Suppose y*s - 85 = -35. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**7\/5040 + a**6\/720 + a**5\/20 - 3*a**2. Let u(m) be the third derivative of k(m). Calculate u(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 4*n - 3. Let m be r(5). Suppose -2*x + m*k = k - 1, 4*x - 3*k - 5 = 0. Which is the nearest to x? (a) -0.5 (b) -3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycqcqbqqcqbjqqqqqq. Give prob of picking 1 j, 1 q, and 1 c.\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5332 is divided by 597?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1) + 183\/(-4)*1)\/((-4212)\/(-2808))\nAnswer: -57\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -90.84 - -0.84. Let j = q - -93. Which is the closest to -1? (a) -0.5 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.8, -1\/11, 9970\/7?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438*l**2 - 3 - 1313*l**2 + 3 + 443*l**2 + 434*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a - 57723*a**2 - 57771*a**2 + 115391*a**2 + 2*a.\nAnswer: -103*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295427.\nAnswer: 11, 107, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 587, 1 in decreasing order.\nAnswer: 587, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1612 by 124.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -160 + 314. Suppose 0 = -4*c - 3*d + 264, d + 3*d = 2*c - j. Factor -20*z**2 + 104*z + 8 - c*z + 2.\nAnswer: -5*(z - 2)*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cqo when three letters picked without replacement from xqqqqqqxqoqqqqcqqoq?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4\/3)*n)\/n)\/(n**(-5)*n)*n*((n\/(n*n**(-2\/21)*n))\/n)\/n*n*n**(-6) assuming n is positive.\nAnswer: n**(-89\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/90*105\/(-42))\/((-24)\/18).\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25.315 + -25.302013. Let t = -0.5 - -0.487. Let a = k + t. What is a rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2020 + -2?\nAnswer: 2015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 425 = -204 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-34)\/(-8) - 2\/8. Let u be (-3)\/(((-9)\/10)\/3). Suppose -4*r + 42 = u. Solve 4*q = g + 2*q + r, 0 = 4*g - z*q + 20 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 12*y - 150. Let d(g) = -3*g. Give 3*d(s) + f(s).\nAnswer: 3*s - 150","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*d**2 + 16*d**4 - 90*d**3 + 15*d**4 - 5*d**5 + 39*d**2 - 29*d + 4*d + 9*d**4.\nAnswer: -5*d*(d - 5)*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of t**4\/24 + t**3\/2 + 13*t**2 - 3. Find the first derivative of i(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhr when three letters picked without replacement from {r: 1, a: 1, h: 2, d: 1, m: 1, e: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from pppbpbpb?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*x + 108061 = 105567 for x.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*l. Suppose -6*v = -v - 2*i - 26, -l*v - 2*i + 22 = 0. What is the remainder when v is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 15 = -4*w, 30 = 32*w - 29*w + 3*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-6))\/((-614)\/(-614)))\/(-1*1\/9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4 + 0 + 7*j + 4. Let t(d) = -2*d. Give k(t(h)).\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3414*n - 4390. List the prime factors of t(10).\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q**(5\/6))*q**(-4))\/(q**8\/q**(-2\/5)))**(-2\/37) assuming q is positive.\nAnswer: q**(457\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 5*b + 15, 5*r = 2*b + 4*r - 5. Suppose b*z + 114 = 6*z. What is the highest common factor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.39039 - 0.00961. Which is the fourth smallest value? (a) 0 (b) -0.3 (c) 184 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -56) + (232 - 190) + -12?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*502\nAnswer: -200.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1472954521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26338, -24145, -21952, -19759, -17566, -15373?\nAnswer: -13180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1240*v - 20993 = 3171*v + 71638 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o**3 - 2544*o**2 + 4*o - 4. Let g(c) = -2*c**3 + c**2 - c + 1. What is -4*g(b) - k(b)?\nAnswer: 2*b**3 + 2540*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + 1. Let m be h(-2). Suppose -v - 59 = -2*y, -31 = -2*y - 4*v + 3. Suppose y*s = 26*s + m. Solve 2*a = 5*q + 2 - 7, s*a - 3*q = -3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 538530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*b + 21. Suppose -2*m - 1 + 5 = b. Solve m*f = 4*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 348*o**2. Let h(p) = -3*p. Calculate k(h(w)).\nAnswer: 3132*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from reelerverl. What is prob of sequence ellv?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -20 + 5*q + 11 + q**3 - 6*q**2 + 9. Let y be k(5). Suppose 2*d = -y*d + 4. Solve 4*u + 16 = -2*r, -4*u - d*r - 3*r = 22 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1910 - 1820. Calculate the smallest common multiple of 75 and w.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 + 4*j**2 - 2*j - 3. Suppose -4*p = -5*f - 8, 7*p - 4*p + 21 = -3*f. Let g be l(p). Calculate the highest common divisor of 6 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5583, 21637, 48407, 85893, 134095?\nAnswer: 193013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 3:18 PM?\nAnswer: 8:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 539*b**5*c + 503*b**4*c - 502*b*c + 816*b - 2*c wrt b?\nAnswer: 10780*b**3*c + 6036*b**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -14, -20, -28, -38, -50?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 66 - 49 = 5*s, 4*s = 20. Let q be (-4)\/14 + (-37848)\/v. Let k = -352 - q. Round k to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3152 smaller than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2073, 4133, 6207, 8301, 10421, 12573, 14763, 16997?\n\"Answer: i**3 + i**2 + 2050*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(76) + 0).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -196, -320, -448, -586, -740, -916?\n\"Answer: -z**3 + 4*z**2 - 129*z - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173365?\nAnswer: 5, 34673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 5*x**2 + 3*x + 16. Let z(t) = 2*t**2 - 220*t - 4. Let j be z(110). Calculate l(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 4*l + 12 = 0, 9*r - 6*r = 2*l - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0) + (1 + -4 - 8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*6*(-12)\/864.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10647177*w**4 + 20374869*w**2?\nAnswer: 255532248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -168 + 143.05. Let w = 5.05 - x. Which is the second biggest value? (a) -2 (b) -5 (c) w (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -4*h**3 - 10*h**2 - 9*h + 13. Suppose 2*i + 8 = -10. Let k be w(i). Round k to the nearest one hundred.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/15)\/((-2)\/20). Let z(u) = 4*u - c*u + u - 1. Let l be z(7). Solve -3*h = -0 + l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g = -16*g - 1052. Suppose g + 22 = 4*n. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/(-12)*66\/(-88).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-41)\/2)\/(-10 + 3498\/352)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5\/13)*k*k**(-11)\/k*k*k*k)\/(k**3)**(1\/8) assuming k is positive.\nAnswer: k**(-911\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57817005 is divided by 6086?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6683 - 3339 = 2*j - h + 3375, 5*j = h - 43 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 16*h = 3672. Is 56 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4306679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - g - 320503, -61702 = -2*r - g + 66495. What is r rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 15) to base 5\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4146029?\nAnswer: 271, 15299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fftffdtffftdt. Give prob of picking 1 f and 1 d.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1818 and 2664279?\nAnswer: 5328558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hyyhhhh. What is prob of picking 2 h and 2 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 209000 - 626705 + 208999 + 208879.\nAnswer: -y + 173","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 + 2*g**2 - 5*g - 3. Let h(y) = y - 1. Let c be h(-2). Let f be d(c). Let l = f - -173. What is the highest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 6*r**2 + 10*r - 49. What is the remainder when 172 is divided by z(3)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d - 4*c + 2 = 0, 4*c = -4*d + 12. Solve 4*k + x = 2*x - 8, 0 = -d*k + 3*x + 6 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12281281 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -1551512?\nAnswer: 1551505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3574519 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 21*h**2 - 2 - 2.\nAnswer: 21*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 669\/2453*(-1045)\/57\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-6) + 292\/12. Suppose -50 - o = -5*s. Suppose 3*f - s = 0, f + 91 = -m - 2*f. What is m rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6)*0)\/(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -20ac4 (base 13) to base 3\nAnswer: -2222220011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-36)*7*(-2820)\/987?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 130565\/3 >= 43522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -25ea2 (base 15) in base 9?\nAnswer: -204508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 6:53 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514535003?\nAnswer: 547, 940649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2671*s**4 - 2*s**3 - 19*s + 294?\nAnswer: 32052*s**2 - 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -1972, -1, 3, -0.1, -93?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 35, -3*s - s - 4*f = 88. Put s, 86, 1 in decreasing order.\nAnswer: 86, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1729543 to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21216 = 4*c - 4*d, 2*c - 10295 = -d + 292. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 8 = -30. Factor -2*g**3 + 0 + 0*g + 1\/2*g**k.\nAnswer: -g**2*(4*g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*s + 1, -3*s - 2*r + 19 = -0*r. Factor -2\/3 + 0*o + 4\/3*o**2 + 0*o**s - 2\/3*o**4.\nAnswer: -2*(o - 1)**2*(o + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4\/27 (b) -11 (c) -0.1 (d) 930\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 667?\nAnswer: 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 170.19972 months to decades.\nAnswer: 1.418331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 - 12*f**2 - f + 2. Let o be y(12). Let g be 65\/25 + (-4)\/o. Find the first derivative of -g*a + a**3 + 3*a + 3 wrt a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 21*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 258743818.\nAnswer: 2, 129371909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-2 + 4 + -1 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*i**5 + 5848*i**4 - 111576*i**3 + 583162*i**2 + 32053*i - 7650 = 0. Calculate i.\nAnswer: -1\/7, 1\/11, 9, 17, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1228536 to the nearest 1000.\nAnswer: 1229000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -459, -4, 2, -15, -7, -5, -36 in descending order.\nAnswer: 2, -4, -5, -7, -15, -36, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -55. Suppose 1299 = 5*s - 4*n + 427, s - 174 = n. Calculate the greatest common factor of d and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4218, 16022, 35696, 63240?\n\"Answer: 3935*y**2 - y + 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - 1168*(-4 + (3 - 0))?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20401433 (base 5) in base 13?\nAnswer: 5bbc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37294300.\nAnswer: 2, 5, 372943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(1\/4)*o)*o**(-1)*o)\/(o**(2\/7)\/o*o**(1\/5))*o**(1\/3)*(o*o*o**(3\/2)*o)\/o*(o**(-1\/4)*o)\/o**(1\/4) assuming o is positive.\nAnswer: o**(1511\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*d**4 - 106864*d**3 - 481470*d**2 - 220696*d - 26752 = 0. What is d?\nAnswer: -4, -1\/4, 3344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from hhuuhuuhhh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 8 - 10 = 0. Suppose 2*o = 2*k + 10, 32*o + 2*k - 60 = 27*o. What is the remainder when r is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214450.\nAnswer: 2, 5, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 18 = 0, 8*s - 9*s = 3*d - 23 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 18*u**2 + 127*u - 44. Let r be v(-7). Sort 4, -5, r, 0 in decreasing order.\nAnswer: 4, 0, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 + 3*t**3 + t**3 - 2*t**2 + 23 - 3*t**3 + 5*t**3 - 3*t**3 + (0 + 0 + t)*(-t**2 - 4*t**2 + 7*t**2) as x*t**2 + z*t**3 + j + p*t and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2199 and 27?\nAnswer: 19791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8 and 1.43.\nAnswer: 11.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n + 4*h - 476 = 27*n, 5*n - 1177 = 3*h. Calculate the highest common factor of n and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, h: 6, s: 11}. What is prob of sequence shy?\nAnswer: 11\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (5 - -61 - (-17 + 9 + 13))?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, -5.\nAnswer: -5, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 4*s - 5975, 3*u + 4*s + 0*s - 3585 = 0. Let d = -44 + u. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6181699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -60207661 or -0.1?\nAnswer: -60207661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 + 8*r**2 - 8*r + 1. Let i be p(6). Let d = -31 + i. Let g(z) = z**2 + 6*z + 2. Let w be g(d). Solve 5*f + 11 = -4*m - 9, w*f + 3*m = -8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 0, -4 in decreasing order.\nAnswer: 13, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 12:34 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2022 + 200422?\nAnswer: 202444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 796618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a, a - 4*a + 12 = 4*x. Suppose -5*p = x*s - 830, -4*s - 143 = -2*p + p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2693123 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 4*p + 3*q + 6, 0 = 2*p - 3*q - 18. Suppose -3*a - 3 = -2*w + 8, -3*a + p*w - 12 = 0. Sort -4, -1, a in descending order.\nAnswer: -1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2877*f + 58902 = -177012 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2318 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(((sqrt(320) - 1*sqrt(320)) + sqrt(320))*-3 - sqrt(320)))\/(-6*2*sqrt(90))*5.\nAnswer: 20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/9 and 46\/35411.\nAnswer: 318699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -1\/2 (b) 3\/5 (c) -3\/4 (d) -1\/30729 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -6*w - 11. Let b be r(-2). Let k = -220 + 219.3. Sort b, 2, k in decreasing order.\nAnswer: 2, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*z + 4*z - 4*p - 27, -2*z + 2*p + 21 - 35 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 0*m = 0. Let z(a) = -2*a. Let u be z(-2). Suppose m = -u*h - h + 15. Does 2 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6395754 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 18566.7.\nAnswer: 5570.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.1 - -44.9. Let n = j - 56. Which is the smallest value? (a) -2 (b) -1\/2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 2. Let o(i) = -i**2 + i + 1. Let h(k) = 2*k**2 + 3*k - 6. Let r(j) = h(j) - 3*o(j). Calculate 4*r(n) - 18*t(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 3*h = -10*n - 70, 4*h = -20. Let f = n - -20. Suppose -3*s - 314 + 316 = 4*x, 4*s - 3*x = 11. Solve -s*z - f = z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5304879726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n + 22. Calculate b(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/7)\/b**(4\/7)*(b**(2\/7))**(1\/47) assuming b is positive.\nAnswer: b**(-92\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q + 6. Let z be b(-4). Suppose -o - 3*v + 14 = 0, -2*o + 5*v - 5 - 11 = 0. What is the units digit of 1 - 1 - z\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-149)\/2235 + 68431818\/45 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/2*3\/(12\/4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 35*v**4 + 12*v - 197 wrt v.\nAnswer: 140*v**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111011100101 + 100111110?\nAnswer: 1000000100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7831?\nAnswer: 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -26*j + 166. Let l be k(5). Suppose -3*x - 2*u + 23 = 0, -x = -9*u + 4*u - l. Calculate the remainder when 22 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6\/7 - 2\/7*d**3 - 2*d - 10\/7*d**2 = 0. What is d?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1039 is divided by 31.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*w + 1 = -1, w = -2. Let a(c) = 1 + 29*c + 0 + 32*c. Is a(n) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 2*y + 5. Let r(l) = -7*l - 75. Let o be r(y). Solve 6*a + o = -9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 2*i - 1. Suppose -r + 0 = -f - 3, -4*f - 5*r + 33 = 0. Calculate z(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*k = -59 + 114 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -138*a**2*c + 30*a**2 - a*c - 71*a + 2*c wrt a.\nAnswer: -276*c + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) + 1\/3. Suppose 3*j - 3*a + 25 = s, -5*j - 3*a = 0. Which is bigger: -2 or j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4*p + 12 = -12, 2682*p = 2685*p + 30 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 23\/2, 13\/5, -0.3, -0.31?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01949233568 rounded to 5 decimal places?\nAnswer: -0.01949","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - -4. Suppose -2*f - 2 + p = 0. Factor -9*r - 5*r**3 + 12*r**2 + f + 0 - 2.\nAnswer: -(r - 1)**2*(5*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 234239093?\nAnswer: 11, 1823, 11681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 - 3*i - 8. Let x be d(6). Suppose h - x = -5. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1373219 is divided by 397?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 394 = -2842. What are the prime factors of y?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/8 of a day?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 divided by 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -4.8, 4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + 15*s + 61. Let a be t(-8). Solve 3*v = 4*z + 11, -a*z + v - 14 = -3 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (45815\/(-1386))\/119*2*(-18)\/40?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(750)\/sqrt(6) + sqrt(5)).\nAnswer: sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-515)\/35 + 7)\/(1974\/(-4)). Let s = h - 41341\/13818. Calculate the common denominator of 5\/3*(1 - -6) and s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-562*h + 202*h + 288*h)*(-2 - 1 - 2)*(-2 + h**3 + 2) to n*h**2 + i*h**3 + s*h + d*h**4 + b and give d.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1064*g + 5*g**2 + 959*g - 940*g - 682*g + 130*g**4 + g**5 - 1443*g wrt g.\nAnswer: 20*g**3 + 1560*g**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*k**2 + 0 - 19*k**2 + 272*k - 2 + 47*k**2 - 19*k**2 to x*k + r + n*k**2 and give x.\nAnswer: 272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from eueeeuoeeeuueueun.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3939 and 347487.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v = -9*v - 4590. What is the greatest common factor of 45 and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 3:09 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*y**4 - 1709*y**3 + 58*y**4 - 31*y**4 - 6*y**2 + 568*y**3 in the form j + r*y**2 + o*y**4 + n*y**3 + a*y and give n.\nAnswer: -1141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -4, -0.3, -0.4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -8. Let i = b + 5. Solve -i*t = -0*t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a + 321 - 741 = 768 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*x, 4*c + 34 = 208*x - 214*x + 130 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000257018267 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 53 = n + 10, -5*x = -5*n - 145. Does 24 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 257355 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*j = 574*j - 6090 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 261*j + 57. Let n(f) = f**3 - 260*f - 56. Let s(b) = -4*n(b) - 3*r(b). Differentiate s(w) wrt w.\nAnswer: -3*w**2 + 257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 9 + 8 - (4 + -14 - -6).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 4*m**2 - 8*m - 5. Let s(u) = -44*u**3 - u**2. Let v be s(1). Let f be 3\/12 + v\/(-12). Let h be ((-6)\/f)\/(-3)*-10. Determine o(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3766642 and -3766642 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -47 - -170. List the prime factors of c.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -8.5. What is the closest to -5\/3 in 0.2, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 150706151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 7507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3502703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 12*s**2 - 5. Let q be w(-4). Let d be q\/9 - 8\/(-36). What is the highest common factor of 14 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -63. Let z = p - -58.3. Let h = -9.7 - z. Which is the third smallest value? (a) h (b) 1 (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2425 - -2443. Solve 27*g - 21*g + j = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 11. Let p(g) = g + 1. Let r be 2\/(0 - -2)*5. Suppose r*x = -5*n + 20, -x - 5 = -6*x - 2*n. Let o(s) = x*y(s) - 3*p(s). What is o(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - i - 26148, -5*i - 5220 = -3*l + 4*l. Is -5229 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -43.2 and -39215 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l - 4. Let i be b(-4). Suppose 0 = 4*d + i*m + 40, 4*m = -2*d - 3*d - 49. Is d > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.3, 0.2, -3, 44, -476?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 9:17 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/9)*z)**(7\/8))**(-3)*((z**(-1))**(2\/55))**13 assuming z is positive.\nAnswer: z**(-3319\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 932 + 835. Let d = 1954.3 - b. Let t = 180 - d. What is t rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/(-2)*(-51)\/51\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 66, 71\/4, 0.5, -0.3, -1\/8, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*o**5 - 35*o**4 + 50*o**3.\nAnswer: 5*o**3*(o - 5)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 4*y**2 - 4*y + 13. Let m(o) = o**2 - o + 1. Let r(l) = 5*m(l) - q(l). Suppose -2*j + 4*j + 6 = 0. Let u be (0\/(-3))\/(j - -2). Give r(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.06 and 375279 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:18 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022 - 102?\nAnswer: 12220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7548698?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6514905 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593112 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2354 a factor of 54701367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/100)\/(12\/15). Let v(t) be the third derivative of 1\/4*t**3 + d*t**6 + 0 + 0*t**5 - 1\/8*t**4 + 12*t**2 - 1\/140*t**7 + 0*t. Factor v(k).\nAnswer: -3*(k - 1)**3*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6280634400 a multiple of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p**2. Let i(u) = 4*u**2 + 2*u - 8453. Calculate i(n(t)).\nAnswer: 144*t**4 - 12*t**2 - 8453","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 888 + -887.7. Which is the second smallest value? (a) 2 (b) -9\/17 (c) 1 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - i - 10 = -0*d, 2*i + 2 = -3*d. Let o be 4\/4*d + 1. Let -b - 2 + 4*b + 4 - b**o = 0. Calculate b.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sooosooddoososdo. Give prob of sequence sd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 211 + -207. Suppose 4*f = y + 843, 10*f - 5*f - v*y = 1051. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kir when three letters picked without replacement from {i: 1, k: 7, t: 1, r: 5}?\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 77601.9986 - 77585. Let c = -17 + v. What is c rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tdt when three letters picked without replacement from ddgrttjdjrrrjd.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 1, -5*i - 1 = 4*w + 10 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0.5, -85, 3\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 342578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3 - 182683138*y**2 + 4171641205032448*y - 4171641022349312 = 0.\nAnswer: 1, 45670784","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**4\/4 - a**3\/2 + 6*a**2. Let x be n(-1). Solve 11 = -4*g - 0*g - r, r + 8 = -x*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1) + (-31 - (32 + -57)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 4*s**2 + 16340*s - 49056 = 0?\nAnswer: -4088, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.0700206 + -2.07. Round w to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.5 - -0.8. Let k = -3 - -2.5. Suppose -5*s + f + 3186 - 3167 = 0, -20 = 2*s - 5*f. What is the nearest to s in k, m, -1\/6?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36c (base 13) to base 10\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/154 and 43\/4510.\nAnswer: 31570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10 + 11 - 5\/(165\/39). What is the nearest to -2\/3 in r, -3, 0.02, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 9*k - 3. Calculate u(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1972903, -1972937, -1972971?\n\"Answer: -34*g - 1972869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 4*x + 24, -4*x + 24 = d - 0*d. Suppose d = 9*i - 11*i. Let m(t) = 3*t - 3. Let o(q) = 2*q - 2. Let k(u) = -5*m(u) + 8*o(u). What is k(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of f**5\/20 + 7*f**4\/12 - f**3\/3 + 9*f**2\/2 + 4*f. Is q(-7) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 4941*p + 19 - 45 as r*p + c and give r.\nAnswer: 4941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 9. Suppose l = -4*a + a + 6. What is the tens digit of 2 + (42 - (a - 2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.05955 kilometers in millimeters?\nAnswer: 66059550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22 - 22. Suppose 5*n + n - 84 = r. Let c = -82 + 136. Calculate the remainder when c is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1117665830 divided by 11785.\nAnswer: -94838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -23. Suppose -t + s = -9. List the prime factors of t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-333)\/222)\/(((-6)\/8)\/(9\/42)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/15)\/(g\/(g*g**22\/g)))**19 assuming g is positive.\nAnswer: g**(6023\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/20 + (-40)\/(-50). Let m(o) be the second derivative of 2*o + 0 - a*o**2 + 0*o**3 - 1\/12*o**4. Differentiate m(u) with respect to u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(8\/5)\/w)**(-2\/55))**(-3\/31))**22 assuming w is positive.\nAnswer: w**(36\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/250)\/(2\/(-72535)). Let g = q + 1446. What is the common denominator of g and 77\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*k + k + 33*k - 1)*(2 + 1 - 4 - 3 + 4 + 1 + (2 - 4 + 3)*(3 + 0 - 2) + 0 + 0 - 2 + 5 - 4 + 0)*(-2 + 2 - 3*k) as j*k + c + b*k**2 and give b.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -78002, -312012, -702044, -1248110, -1950222, -2808392, -3822632?\n\"Answer: -2*s**3 - 77999*s**2 + s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51224 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1665.361 grams to tonnes.\nAnswer: 0.001665361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/90 and -109\/108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(104) - 1*sqrt(104))*1)\/sqrt(8))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 + -0.87. Let m = 11 - 11.8. Let u = -1 - m. Which is the third smallest value? (a) q (b) 1\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 + 4914*y + 2012283 = 0. What is y?\nAnswer: -819","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1\/6 (b) -0.5 (c) -15 (d) 15 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -477741*r**2 + 54955*r - 54955*r + 477744*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j - 34*j - 36 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 912293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 147*m - 167*m + 5200. What is the highest common factor of 52 and m?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77320.9 + 5708010.\nAnswer: 5785330.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 952255 and 5851920.\nAnswer: 3295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3.10698 days?\nAnswer: 4474.0512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4 - 6\/(-4). Suppose -1 = k*h - 5. Solve -h = 2*l - l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 19*r + 143. Give z(34).\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 111, 164, 215?\nAnswer: 264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 565130 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 i(n) = -n**2 - 10*n - 13. Give i(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 70 = 2*h - 2*i - 120, 5*i + 44 = 3*i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 771*m**2 + 23*m - 118. Let s be x(8). Round s to the nearest 1000.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1891 is divided by 88?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 72858500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = 18*l + 13*l + 16*l - 29*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-6) - 1)*-9. Let a(k) = k**2 - 7*k + 5. Let x be a(y). Let u = -87 - -86.5. What is the nearest to x in u, 4, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 861, 3019, 6477, 11241, 17317, 24711, 33429?\nAnswer: 43477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 114 - 53. Suppose y - x = 3*g - 2*g, 5*g = 3*y - 175. Calculate the greatest common divisor of y and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-2*2*sqrt(66))\/((sqrt(42) + sqrt(168))\/sqrt(7)))**2.\nAnswer: -880\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.941 + 0.059. What is the nearest to 0.2 in f, 1\/7, 6?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - 4)*6\/(-4). Suppose -l = 7 - y. Solve -3*m + 15 = 3*o, 4*m - 6 = -l*o + 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16183 is divided by 136?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 + 2053*n - 31020 = 0. What is n?\nAnswer: -2068, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v\/v**37)\/v*v*v)*(v\/(v**(-2\/3)\/v))\/v*v**5\/(v**25\/v*v) assuming v is positive.\nAnswer: v**(53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 161302 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 93.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 221*w + 41 + 401 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(132) - -3*(sqrt(132)*-1 + sqrt(132))) + sqrt(132))*-4)\/(sqrt(144)\/(sqrt(84)\/(sqrt(49)\/sqrt(7)))))**2*3.\nAnswer: 19008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 84*z**3 + 108*z**2 - 452*z + 264.\nAnswer: -4*(z - 22)*(z - 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 5b?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 6, y: 4, d: 1, f: 2, x: 3}. Give prob of sequence fg.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35205*g**4 + 457660*g**3 - 809650*g**2 + 387140*g + 55 = 0 for g.\nAnswer: -1\/7041, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-15) - 3)\/(1\/3). Which is the nearest to 1? (a) i (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40378\/(-4659) + 425\/48.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3016 = 3*f - 7*a + 6*a, -4*a = 3*f - 3041. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109622888?\nAnswer: 2, 13702861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 8500455?\nAnswer: -8500459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14982, 29616, 44242, 58854, 73446, 88012?\n\"Answer: -c**3 + 2*c**2 + 14635*c + 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/8)\/(9\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*z - 4*o - 23, 5*z = -4*o + 61. Suppose 0 = -3*i - 0 + z. Calculate the smallest common multiple of i and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.06 and -7948.\nAnswer: 476.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -6773?\nAnswer: -6778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35143097*u*w**3 - 19*u*w**2 - 13*u*w - 84*u - w**2 - 24*w + 1 wrt w.\nAnswer: -210858582*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of m**5\/390 + 43*m**4\/156 - 44*m**3\/39 - m**2 - 187*m + 68. Let p(j) be the second derivative of s(j). Solve p(l) = 0.\nAnswer: -44, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -439 less than -4.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of y**3 - 66*y**2 - 135*y - 126. Find f, given that m(f) = 0.\nAnswer: -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309811?\nAnswer: 309811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z = -29*z + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1803234 divided by 3?\nAnswer: -601078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 2*t**2 + 0*t**2 + (-3*t + 2*t - 2*t)*(-2*t + 2*t + t) + t**2 - t**2 - t**2 + 2*t**2 - 3*t**2 - 2*t**2 + (-2*t + 2*t - t)*(-3*t + 4*t + t).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-15\/7))\/((v*v*v\/v**17)\/v))**(-1\/9))**(-5) assuming v is positive.\nAnswer: v**(485\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*v + 182 = 22, 20 = w - 2*v. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20? (a) 0.22 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqgxgdqqqqqtyy. Give prob of sequence yyq.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**12)\/(m\/(m*m\/(m*m*(m\/(m\/m**10))\/m*m*m))*m))\/(m**(-1\/2))**(-29) assuming m is positive.\nAnswer: m**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.898 and -0.02.\nAnswer: -0.918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/41868892 and 37\/1041986.\nAnswer: 460557812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1490007931 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 23\/(-4) - 2. Let l = w - 2. Let y = 0.66 + -3.66. Is y at least as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1496 (base 16) to base 9.\nAnswer: 7205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 3*g = 16 - 2, g - 21 = -3*n. Calculate the remainder when n is divided by (-19)\/(-4) + (-2)\/(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 935732 is divided by 20203.\nAnswer: 6394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -860*c**3 - 5*c**2 + 5*c - 996. Let a(j) = -861*j**3 - 4*j**2 + 4*j - 1001. Let k(u) = -5*a(u) + 4*q(u). Differentiate k(y) with respect to y.\nAnswer: 2595*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sossssss. Give prob of picking 2 s.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 105. Let d = y - 47. Let u = d + 53.00000014. Round u to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 371 by 3.\nAnswer: 371\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -198 - -194.05. Round p to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:58 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28763 + 0.21.\nAnswer: 28763.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 687851371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 317915180 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*m - 4*m + 5*m)*(407 + 580 + 919) + m + 1 - 1 + 1 + 2*m - 1 + (-3 - 1 + 5)*(2*m + 3 - 3) - m - 3*m + 5*m in the form g + y*m and give y.\nAnswer: -3806","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -9*m + 2. Let i(t) be the second derivative of -13*t**3\/3 + 3*t**2 - 6*t + 15. Calculate -5*i(d) + 14*v(d).\nAnswer: 4*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (10368\/672)\/((-28)\/49 - (-2 - (-24)\/21))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 1:37 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(30)*1)\/(sqrt(6) + (sqrt(6) + 3*((sqrt(54) - sqrt(6)) + sqrt(6)) - sqrt(6)))*-1)**2.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 122, -4, 1\/75, 3, 1\/6, 4 in descending order.\nAnswer: 122, 4, 3, 1, 1\/6, 1\/75, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l - 4. Let z = 6 - l. Solve -8 + 2*g + z - 2*g**2 = 0 for g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - u - 3. Let l(o) = -o**3 + 5*o**2 - o - 5. Let j(w) = 5*k(w) - 3*l(w). What is the second derivative of j(t) wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (172*v + 108*v + 81*v + 67*v)*(-3*v**2 + 5*v**2 - 4*v**2) as r*v**3 + d*v + w + m*v**2 and give r.\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 401761 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 4*m - 1. Let p be k(4). Calculate the remainder when 47 is divided by 1*p - (-20 + 3).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83383?\nAnswer: 83383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 749087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 + 308*p + 304 = 0. Calculate p.\nAnswer: -76, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*c - 39*c - 24837. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*l**2 - 37*l**2 + 4*l + 20*l**2 + 1 as z + r*l**2 + j*l and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 5*m**2 - 3*m - 9. Let a be y(-4). Let g = a - -16. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -60, -1.\nAnswer: -60, -13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 351 - 417.9. Let x = o - -67. What is the nearest to x in 3\/4, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4\/(-24)*0\/10\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c + 44. Let h be j(-24). Put -1, -113, h in decreasing order.\nAnswer: -1, h, -113","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n**3\/3 - 48338*n**2\/3 + 372906718*n\/15 - 37238664190\/3 = 0. What is n?\nAnswer: 6397\/5, 2275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 5 - 5)*(4*p**2 - 3*p**2 - 2*p**2) - 7*p**3 + p**3 - 2*p**3.\nAnswer: -9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 80\/200 + 36\/(-10)*-1. Suppose 6*t = x*t + 8. Solve 0 = -t*c - 24 + 36 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*n = -45*n - 600 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4634.958um to meters.\nAnswer: 0.004634958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 108. Solve v = -2*v - u for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 9:34 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -814653 divided by 63.\nAnswer: -12931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) - (sqrt(95) - ((sqrt(95) - -1*sqrt(95))*1 + sqrt(95))))\/(1*sqrt(5)*-4) + -5)**2.\nAnswer: 15*sqrt(19)\/2 + 571\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 40*j**3 - 239*j**2 - 5*j - 3. Let m be i(6). Determine k, given that -8*k + 243\/4*k**5 + 25\/4*k**2 + 273\/4*k**m - 513\/4*k**4 + 1 = 0.\nAnswer: -1\/3, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 - 0 - (309 + -336).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -84, -2, 1800 in increasing order.\nAnswer: -84, -4, -2, 1800","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*u + 81*u + 9240 = 0. Does 77 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -3*a + 44 + a + 25. List the prime factors of r(-20).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, u: 3, c: 2, o: 2}. Give prob of sequence czcu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**2 + 201*c - 676. Let n(f) = -2*f**2 + 81*f - 270. Let x(l) = -12*n(l) + 5*q(l). What is x(28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*u + 4 - 4 - 162*u to g*u + o and give g.\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 4*l = -10*l + 9*l + 51, -4*m + 60 = -6*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1030977349.\nAnswer: 41, 641, 39229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35*h**4*o*s + 7*h**4*o - 7*h**3*o*s - 22*h**2*o*s + h**2*o - 2*h*o + 3*o wrt h.\nAnswer: -840*h*o*s + 168*h*o - 42*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -0.3, -0.14, -3428, 15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10570*1.569.\nAnswer: -16584.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 13*d + 17. Let t be b(-13). Let k = 37 - t. Suppose 14 = 4*x - 18. Calculate the smallest common multiple of x and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/969 and 3\/119?\nAnswer: 6783","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -220 + 336 + 871*a**5 + 83*a**2 - 113 wrt a.\nAnswer: 52260*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*a + 37 = -55 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8532+5234963.3\nAnswer: 5226431.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggebgbgsgbssegggsbgg. Give prob of sequence bgss.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200021 (base 3) to base 10.\nAnswer: 493","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3587.3925 times -8?\nAnswer: 28699.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*i + 1680 - 459 = 2986 + 1634 for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**2. Let p(q) = -1959*q - 4. Give p(l(m)).\nAnswer: -1959*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39317766 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 16 = -28. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c. Let g be i(-1). Solve 4*b = g*b + 8 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*m + 1179 + 538 + 383 = 0 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 4, 3*u = -2*w - 1142 + 1146 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 1. Give z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + 1 + 5\/(-1) + 0. Sort z, -0.04, 2 in decreasing order.\nAnswer: 2, z, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 131287.97 and 1.059?\nAnswer: 131286.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2361858 (base 10) to base 9\nAnswer: 4388766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/7, -0.5, 0.4, 248, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.87201 + -0.12799. Which is the biggest value? (a) 3\/8 (b) r (c) -0.02 (d) -13 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209703 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -105*m + 2530. Calculate x(24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 3*p - 44, 2*p - 3 - 3 = -z. Let k(b) = -2*b**2 - 10*b + 1 + 3*b**2 + z. Does 13 divide k(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g + 5. Let i(s) = 4*s + 6. Let y(k) = -5*d(k) + 4*i(k). Let p(x) = -x**3 - 9*x**2 - 2*x - 17. Let f be p(-9). Determine y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u**3 - u**2 - 2*u - 1. Let y be n(-1). Factor -3*z**4 + 145*z**3 + z**y - 6*z + 4 - 139*z**3 - 2*z**2.\nAnswer: -2*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 f when two letters picked without replacement from qfooftnq?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = j - 39, 0 = -4*j + 2*r + 309 - 83. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5572 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: Express -8*g - 5*g + 2*g + 4*g in the form h*g + a and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -2*j**2 - 13*j - 5. Let h(n) = n**2 + 7*n + 2. Let k(r) = -9*h(r) - 4*y(r). Let i be k(-9). Let z be i\/16 + 1\/(-4). Solve 2*u = -z - 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in 524, 3, -2\/7, 26, 0.3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000011304 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8584*l - 341. Is a(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 a when three letters picked without replacement from {l: 2, a: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i. Let b(u) be the first derivative of -5*u**3\/3 - u + 80. What is t(b(m))?\nAnswer: -5*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 548\/654225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 274 - 122 - 163*u + 141.\nAnswer: -163*u + 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**2 - 15*k + 52*k - 13*k - 24*k.\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1809*m + 1798*m + 12947 = 0. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 n when two letters picked without replacement from {n: 5, r: 2}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100000 + -1?\nAnswer: -100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14*d + 68. Let l(u) = 20*u - 66. Let x(g) = -3*k(g) - 2*l(g). What is x(35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 92.1 - 92. Let p = -2.0502 - -0.0202. Let i = p + 7.03. What is the closest to -2\/5 in -4, i, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 27825*r + 83520.\nAnswer: -5*(r - 3)*(r + 5568)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeq when three letters picked without replacement from {n: 1, e: 4, q: 3}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h*q*x**2 + 6*h*q*x - h*x**2 + 2*h - 65*x**2 + 5*x with respect to q.\nAnswer: -4*h*x**2 + 6*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-76)\/((-297)\/(22275\/150))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(6\/3) + -2. Let k = n + -5. Suppose 3*v - m - 2*m - 57 = 0, k*v + 5*m - 76 = 0. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((-5 + (-3 + sqrt(180)*2 - sqrt(180)))*5*-5 + -2)**2.\nAnswer: -59400*sqrt(5) + 151709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 0 + 2*h**2 + 3 + 11*h + 3. Let r be s(-7). Let g be (21\/r)\/1 - 1. Which is the nearest to 0? (a) -0.4 (b) g (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.7 + 0.7. Let c = v + 10.2. Let x = 13 - 41\/3. Put c, x, 0.3 in ascending order.\nAnswer: x, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87327000 rounded to the nearest one hundred thousand?\nAnswer: 87300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.2, -0.02, 9.863, -2\/7 in ascending order.\nAnswer: -2\/7, -0.02, 5.2, 9.863","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 103250 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.71 times 6.4057\nAnswer: 23.765147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3932671087 - -0.261.\nAnswer: 3932671087.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 72778*g - 107638660. Give t(1479).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b = 16*b - 14*b + 14*b - 1044 for b.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 - 925*i + 21*i**4 - 4*i**4 + 9*i**4 - 20*i**4 in the form u*i + a*i**2 + w*i**4 + f*i**3 + s and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-62244)\/(-1743))\/12?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 2)*12\/(-18). Let q = 2 - m. Solve q*a = a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1472 and 35742736?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**3 + 6*a**3 - 2 - 6*a**3 + 2.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 42\/8 - 4 - 7196\/(-16). Let f = 456 - s. Solve -f*n - 6 = -2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -98\/493 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -5, 15 in descending order.\nAnswer: 15, -5, -201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.8962 - 0.0038. Let q = t - -33. Sort 5\/2, q, -2 in decreasing order.\nAnswer: 5\/2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*v + 33*v + 4*r = -71, -4*v - 52 = 4*r + 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 603 = 3*g, g + y - 208 = 3*y. Suppose 4*w - 8*w = -2*q - g, 4*q - 106 = -2*w. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1050571\/458424 + -2\/57303. Calculate the common denominator of i and 113\/20.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 4*p - 24 = -3*y, 24 = 3*y - 3*p. Let t(g) = g**2. Let m be -6*(4 - 7\/2). Let r(o) = 2*o**2. Give m*r(d) + y*t(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 308748?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 543333*q - 1. Let v be o(-3). What is v rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 11*b**2 + 5*b + 3. Is o(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 2981*i**5\/5 + 1474*i**3 + 4078. What is the third derivative of k(v) wrt v?\nAnswer: 71544*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25.9? (a) -3\/4 (b) -3 (c) -21 (d) 0.2 (e) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20481765 and 201048?\nAnswer: 163854120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (21\/(-42))\/(1\/22). Let j be (-1656)\/(-88) + (-2)\/w. Solve 5*u + d = j, -5*d = u - 8 - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**3 - 27 + d**3 + 27.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.5584903 months to years.\nAnswer: 0.213207525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 132826.87 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = o - 2*a, -5*o = -o - a - 99. Let t(n) = 8*n. Let p be t(2). Calculate the greatest common factor of p and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(4 - (-82)\/(-21)). Let x(z) = -z + 24. Let j be x(w). Suppose v + j*r + 7 = 0, 2*v + r = -3*r - 8. Solve v*l = 3*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 - 93 - (11 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46104 + -370071\/8. Let z = v - -155. Find i such that 0*i**2 - z*i**3 + 3\/8*i + 1\/4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 14, 1, -612158 in decreasing order.\nAnswer: 14, 2, 1, -612158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 337\/3*p - 56 + 1\/3*p**3 - 170\/3*p**2.\nAnswer: (p - 168)*(p - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1164, 1\/11, 0.2, 349\/7 in increasing order.\nAnswer: 1\/11, 0.2, 349\/7, 1164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6503\/9 - 724. What is the common denominator of c and (-2)\/(-5)*(-1 - -20)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 (base 14) in base 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 312?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(1*2))\/(6\/36). Suppose -4*h + 592 = 4*n - 1232, g*h = 3*n + 1368. Suppose 0 = 2*x - 5*s - 177, s - 147 = 4*x - h. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 5*f + f + 2*f + (5 + 6 + 5)*(f + f - 3*f) to a + c*f and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 1115267?\nAnswer: 1115266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -43, -86, -129?\n\"Answer: -43*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 2, -0.3, 57.419, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a kilometer in centimeters?\nAnswer: 24000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 13*d**2 + 134*d - 2974. What is the units digit of x(-82)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1.3, -22, -6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1\/3, -1, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2))**(-20))**(1\/18)\/((q**1)**(-14\/11)*q**(4\/5)*q\/(q*q**(1\/6))*q) assuming q is positive.\nAnswer: q**(1843\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 9 + 593 = 0. List the prime factors of z.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -719*t + 817*t = -514 - 466 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (54 - 31 - 19 + 89*f)*(0 - 1 - 4) + 1 - 1 - f in the form z*f + p and give p.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0255954679 rounded to three dps?\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4310 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 308652696 - 607639696. What is o rounded to the nearest one million?\nAnswer: -299000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a - 4. Let n(j) be the third derivative of 7*j**4\/8 + 71*j**3\/3 - 132*j**2. Let u be n(-7). Let b(z) = 4*z + 2. Calculate u*b(o) - 2*x(o).\nAnswer: -4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 23824 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: Express (-3*z + 3*z - z + (0 + 1 - 2)*(-2*z - 1 + 1) + 4 - 2*z - 4)*(-3*z**2 + 5*z**2 + 6*z**2) in the form q*z**2 + i + p*z + v*z**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gmmm when four letters picked without replacement from mmggm?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4938377 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: Evaluate 63 + -2 + (-27 - (-36 - -37)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1013101 (base 4) to base 16.\nAnswer: -11d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from ddhzdbbdgdhbdzfzhbz?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 319 = -35. What are the prime factors of (a*(-1)\/(-4))\/((-7)\/(-14))?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 13*j + 17. Let u be p(-14). Suppose -2*f - 164 = -2*w, u*w + 4*f - 68 - 164 = 0. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 222, -138, -3, 4, 2, -4.\nAnswer: -138, -4, -3, 2, 4, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 - (-1)\/(-2)*(-9 + -3). Suppose -14 = x*q - 3*t, -7*q + 3*q - 19 = -5*t. What is the remainder when (q + 4)*(-936)\/(-54) is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s + 4*s. Let j(n) = -n**2 + 12*n + s*n**2 - 16*n. Let v(c) = -c. Let f(m) = -j(m) + 3*v(m). Factor f(r).\nAnswer: r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87119 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:26 AM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81652 by 4.\nAnswer: 20413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/1 - -5)\/((-2976)\/(-64)).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -31*x**2 + 29*x. Let h(y) = y**2. Let k(s) = -4*h(s) - o(s). What is the second derivative of k(b) wrt b?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 4. Let l be -2*1 + (-8)\/(-1). Suppose 2*g = -1 + 23. Suppose -1 = -2*d - g. Let y(o) = 2*o + 3. Give d*t(v) + l*y(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 4. Let a be f(-2). Let p be (a\/(-14))\/((-48)\/(-21) - 2). What is the closest to p in 3, 2, -0.3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 9 = 0, 2*s - 81 = 5*z + 4*s. Let v = z + 26. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/5 of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8228 to the power of 1\/2, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 486020 and 2036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 4:28 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k. Let s(u) = 3*u + 1. Let b = -459 + 470. What is b*r(t) + 4*s(t)?\nAnswer: t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -57.05598029 and -69.1.\nAnswer: -126.15598029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-59 + 51979\/885)*(-18)\/(-4)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -101, 3 in ascending order.\nAnswer: -101, -11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -0.2 (c) -3 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1030624.6 to the nearest 100.\nAnswer: 1030600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(240) + sqrt(60) - sqrt(60))\/sqrt(12) - sqrt(5)) + -5 - (sqrt(30) + (sqrt(30) + sqrt(30) + sqrt(60)\/sqrt(2))*-4)\/(sqrt(48)\/sqrt(32)).\nAnswer: -8 + 23*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2\/75 (b) 0.4 (c) 2\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/9))**(9\/14)\/(r**1\/(r\/r**(-5))))\/((r**(-2)\/r)**(11\/4)*(r**(-2\/9)\/r)**30) assuming r is positive.\nAnswer: r**(4181\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**4\/6 + u + 31. Let a(x) = 81 - 22 + 402*x - 30 - 29. Give p(a(g)).\nAnswer: 323208*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**3 - 6*j**2 + j + 2. Suppose 4*x - x = 24. Suppose -7*y = -x*y. Suppose y = -2*c - 0*c - 12. Give i(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(2\/17)*(q**(-2\/11)\/q)\/q*q**6\/(q*q**12) assuming q is positive.\nAnswer: q**(-1552\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 251*-3645.\nAnswer: -914895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2380069.\nAnswer: 2380069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -19. Let w(j) be the second derivative of j**5\/20 - 7*j**4\/12 + j**3\/3 - 7*j**2\/2 - 27*j. Is 5 a factor of w(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1251 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6853 is divided by 328.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 156.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 16) to base 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 190 and 6365.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281 - -590. Suppose 720*w + p = 723*w. Is w even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 4:19 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n)\/n**(-3\/17)*(n\/(((n*n**(-9)*n)\/n*n)\/n)*n)**(2\/41))**22 assuming n is positive.\nAnswer: n**(-5148\/697)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 58 (b) -4 (c) 3\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-201)\/67*2\/(-22).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1443110727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 205014350*s + 25736635.\nAnswer: 205014350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 114513 and 21413?\nAnswer: 931","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 20*b**2 - 28*b - 28. Let m(u) = -4*u**2 + 6*u + 6. Let g(d) = 6*i(d) + 28*m(d). Let s(j) = 91*j - 2. What is s(g(l))?\nAnswer: 728*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 4:03 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*v + 89*v + 256 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/20))**(2\/39)*y*y\/(y*y**(2\/17)\/y)*(y\/(y**14\/y*y))\/y assuming y is positive.\nAnswer: y**(-80017\/6630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 184.98 - 173. Let r = o + -18.27. Round r to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2. Let o be (14 + 4 + -8)\/2. Let l(h) = -o*h**2 - 10*h**2 - 7*h**2 + 6*h**2. Give l(y(v)).\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/5)*p*p*p**(-2\/5))**(1\/8)\/((p**(-3)*p*p)\/p**(-2)*(p**(-1\/6)\/p)\/p**(-3)) assuming p is positive.\nAnswer: p**(-59\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 9}. Give prob of picking 3 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*t - 14, 2*m = 2*t - t - 9. Is (-888)\/(-21) + m\/14 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*o - h, -o - 27 = -6*o + 3*h. Suppose -5*j + 80 = -2*w - 2*w, -5*j + 45 = o*w. Which is smaller: j or 34\/3?\nAnswer: 34\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 27, 32, 31, 18, -13, -68?\n\"Answer: -d**3 + 3*d**2 + 3*d + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyw when three letters picked without replacement from wyawwwwwwyywwww.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 8*b - 3. Let h be l(-8). Let z(w) = -w + 1 - 2*w + w - w**3. Let r be z(1). Is h smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 39, 117, 247, 441, 711?\nAnswer: 1069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s + 12. Let n be m(-12). Solve n = -7*c + 2*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 10*o**3\/3 - 17*o**2 + 24*o + 866. Factor t(j).\nAnswer: 2*(j - 1)*(5*j - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 7 + 3. Suppose -6 = -g - b*g. Find the second derivative of -a + 5*a**2 - a**2 - 3*a**g wrt a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - a = -2*a - 953, -760 = -4*f + 2*a. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -229656 >= -229657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - -12020112002?\nAnswer: 12020111211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -30*j**3 + 35*j**2 - 35*j - 35. Let i(q) = -5*q**3 + 6*q**2 - 6*q - 6. What is 35*i(l) - 6*t(l)?\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 262*i = -24*i + 2508 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8273\/20 - 408. What is the common denominator of ((-2)\/96)\/((-117)\/19812) and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -16*k**3 + 2*k**2 + k. Suppose -4*r - 19 = 3*j, 3*r + 0*r = -4*j - 16. Does 5 divide f(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 11*x**2 + 9*x + 15. Let z be p(12). Let a = z + 36. Solve -3*w + 0 + a = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 13*m**2 - 11*m + 42. Let l be d(-14). Solve l*h = -5*h - 0*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 278226317.\nAnswer: 278226317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 - -0.1765.\nAnswer: -1.1235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 178478753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 6*b + 38. Let x be o(-5). Suppose -m - x*v = -6*v - 1949, -m + 1949 = -4*v. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b\/b**(12\/7))*b**(1\/47)\/b assuming b is positive.\nAnswer: b**(242\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 4*c - 20, 5*c = -5*i + 27 - 2. Let q(t) = 23*t**2 - 2*t - 9. Let v(h) = 12*h**2 - h - 5. Determine i*v(a) - 3*q(a).\nAnswer: -9*a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 70010.38 rounded to the nearest one thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 690*m**2 + 0*m - 5*m + 6*m + 5*m - 602*m**2 to p*m**2 + f*m + w and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -1.5 (b) -0.4 (c) -0.1 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 621562?\nAnswer: -621561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-14))\/((20\/154)\/(4520\/(-19888))).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 791 + 799 = -5*b, b + 2*o - 5 = -4*o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*p + 178. What is the tens digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15577*l**3 + 2*l - 27088?\nAnswer: 93462*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -169, -171, -173, -175, -177?\n\"Answer: -2*u - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -43 - 3406\/(-78) - (2414\/3)\/(-2) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 87674678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 363*(-8)\/(-36)*3\/(-2). Which is bigger: r or -124?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2236*q + 3. Let j(m) = -552*m + 1. Calculate -9*j(d) + 2*n(d).\nAnswer: 496*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/6 in -14, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from {b: 2, o: 4, x: 3}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -70*p**3\/3 - 26*p**2\/9.\nAnswer: -2*p**2*(105*p + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mr when two letters picked without replacement from mmxbrurbxrcm?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 1232*k - 8. Let d(l) = -2*l - 3. What is 3*d(i) - j(i)?\nAnswer: -1238*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/30 and -145\/191235198.\nAnswer: 956175990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8338 + 8444. Calculate the lowest common multiple of 10 and d.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 + (16 + -19 - (47 - 53)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p + 7 - 7)*(3*p - 3*p + 2*p) - 2*p**2 + 0*p + 0*p.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 3*o - 11 = c, 0 = 3*c - 3*o + 27 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2. Let o = 14 - 8. Let c(v) = -o + 10 - 5*v - 4. Let h(u) = 11*u. Let s(a) = 7*c(a) + 3*h(a). Give s(y(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + 15*p**2 - 35*p - 24. Let k be u(11). Calculate the greatest common divisor of 350 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/5)\/((-14)\/140)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -6631, -7530, -8431, -9334, -10239, -11146?\n\"Answer: -q**2 - 896*q - 5734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 + 92*n**2\/9 + 178*n\/9 + 88\/9.\nAnswer: 2*(n + 1)**2*(n + 44)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-69)\/115*10\/(-3). Differentiate 193*l**2 + 236*l**v - 531*l**2 - 2*l + 273 wrt l.\nAnswer: -204*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1036.8 - 1036.799007. What is t rounded to 5 decimal places?\nAnswer: 0.00099","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) + 32\/6. Let y(z) = 2*z - 2. Let h be y(2). Suppose -3*u + h*m + 6 = 0, -15 = -u - 5*m + 4. Solve -3*v = 2*v + 3*s - p, v + u*s - 1 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 3*a + 0 = -3, 5*a + 5 = -5*p. Suppose -16 = -4*u - p*u. Find the first derivative of -4 + 2 + u + 3*b wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2012?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -201.79055\nAnswer: 80.71622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o*o\/o**1)*o))**(-6)\/(o**3)**(2\/5))**(-3\/11) assuming o is positive.\nAnswer: o**(108\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -21b49e (base 15) in base 16?\nAnswer: -18877d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*n + 9, -3*q - 5*n + n - 3 = 0. Suppose q*c = -c. Let t = 1 - c. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2575 - 2462. Calculate the least common multiple of b and 1017.\nAnswer: 1017","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(91)*-2 - sqrt(91)))\/(sqrt(7) + sqrt(112)*-2 + sqrt(7)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j*n*o + 11*j*n - 119*n*o - 2*n + 5889*o - 897 wrt o.\nAnswer: 3*j*n - 119*n + 5889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2823*q + 2715727. Determine s(-962).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 928 is divided by 155.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 1) + (-14 - -9) - 3 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46666771141 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4468*h**5 + h**4 + 5*h**3 + 7*h**2 + 7*h + 996 wrt h?\nAnswer: 268080*h**2 + 24*h + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184854 is divided by 150?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -11707*d**3 - 6*d**2 + 15. Is s(-2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**3 + 170*d**2 - 66938*d + 3233230 = 0.\nAnswer: -247, 77, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1796481?\nAnswer: 3, 31, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -21168*t**5 - 43848*t**4 - 24228*t**3 - 11090*t**2\/7 - 256*t\/7 - 2\/7.\nAnswer: -2*(t + 1)**2*(42*t + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:12 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9)\/1568*(-28)\/210. Let z = c + -186233\/43120. Find the common denominator of -115\/12 and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2231*c + 147132. Calculate t(-66).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -45506, 5, -1, -1.5 in ascending order.\nAnswer: -45506, -1.5, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345924 divided by -3.\nAnswer: -115308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*95\/90 - 15\/(-10). Which is the fourth smallest value? (a) -2 (b) n (c) 0.5 (d) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 - 16241470*p - 65946336940225 = 0. Calculate p.\nAnswer: -8120735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 5 (b) -0.4 (c) -0.095 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-96)\/64)\/((-3)\/154). Let q = -75 + a. Solve -l - q*l = -15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 4*i - 9, -3*t = -5*i - 12 - 8. Suppose -h - 280 = -4*c + 3*h, 390 = t*c + 5*h. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*s - 2*s - 6*s + 3*s.\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6527 + 3794 = 20*q + 1361. What is the lowest common multiple of q and 128?\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 4*o**2 - 4*o + 10. Let q be m(5). Suppose 625 = -5*n - 5*h, 0 = -4*n - 2*h - 522 + 20. Let l be q\/n + (-1)\/6. Are -0.1 and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 11*s - 14*s = -1831, 0 = -3*q + 3*s + 5517. List the prime factors of q.\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 0)*(-2*z + 0*z + 3*z)*(25*z - 13*z + 6*z) + 0*z**2 - 5*z**2 + 3*z**2 to the form u*z + h + d*z**2 and give d.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (107 - 102) + (-2 - (-5 - 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 199, 372, 549, 730?\nAnswer: 915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 + 130. Suppose f = -4*a + 315. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/15 (b) 4\/5 (c) -1 (d) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 535 + -516.7. Let l = -18.3 + j. Which is the nearest to 1? (a) l (b) -0.22 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0031558076 rounded to 4 decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppvpvppppp. What is prob of sequence vpp?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -4*r**2 + r - 2. Let g be y(2). Let c = g - -27. Calculate the greatest common factor of c and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10402102144 (base 5) to base 3\nAnswer: 210101021211102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.242449 + 129?\nAnswer: 121.757551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from {r: 1, d: 1, z: 1, e: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let r(h) = -8*h - 1. Let t(i) = 5*l(i) - r(i). Let s(u) = -4*u + 1. Calculate -4*s(c) + 7*t(c).\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7340395 by 5.\nAnswer: 1468079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79050704?\nAnswer: 2, 4940669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -22*((-4)\/(-1) + -6). Calculate the greatest common factor of d and 2728.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 m, and 1 q when three letters picked without replacement from {m: 1, v: 3, x: 5, g: 6, q: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 1:21 AM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, p: 1, i: 2, a: 1, x: 2}. What is prob of sequence axhi?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6\/671 + -502597\/2013. Let i = 1583\/6 + t. What is the common denominator of i and 87\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -54 at most as big as -5393?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2178209887 to 5 dps.\nAnswer: 0.21782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2088*s**2 + 140*s - 899. What is the units digit of j(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21836097, -21836095, -21836093, -21836091, -21836089?\n\"Answer: 2*t - 21836099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 2*m = 13 - 92, -m = 3*s - 46. Solve s = 8*x - 35 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -18852, -37769, -56700, -75651, -94628?\n\"Answer: -q**3 - q**2 - 18907*q + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 3, 10, 17, 24, 31?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + r + 9*r)*(-457*r - 720*r**2 + 457*r).\nAnswer: -7920*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 24. Let n be 16\/s*1 + -4. Which is smaller: n or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1655800*t - 1655799*t + 3*v + 10 = 0, -16*t - 2*v + 24 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 394*k**2 - 791*k**2 + 2730 + 398*k**2 + 2940 in the form f*k**2 + s + o*k and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -17169*j**3 - j**2 + 6*j + 15. Let n be z(4). Let o = 459793 + n. What is o rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -91 (c) 9 (d) -1\/5 (e) -5 (f) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 + 4*v - 44. Let r be x(6). Suppose l - r = 5*t - 2*l, t + 47 = -2*l. Let a = -21 - t. Solve 2*c + 28 = -f - 4*f, 0 = -2*f - 3*c - a for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1665 - j**2 - 1656 + 3321.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = k - 13. Let q = k - 12. Calculate the remainder when 23 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-53)\/477*(-99)\/484\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 3*z - 2*z)*(2*z + 273621 - 259597 + z - 6*z + z).\nAnswer: -4*z**2 + 28048*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57067020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 7*v - 2*v. Let t = -36 - -35. What is the units digit of (0 - t)*(0 - v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 498 + -495. Suppose 3*d = m*z - 74 + 23, 91 = 5*z - 2*d. What is the remainder when z is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b59 (base 12) to base 13.\nAnswer: 1701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5412.679mm to meters.\nAnswer: 5.412679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 924588 divided by -3\nAnswer: -308196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 z, and 1 t when four letters picked without replacement from ztxzzzzztzzszszzzsz?\nAnswer: 13\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 12*o**2 - 11*o + 8. Let h be s(-13). Let b(k) = k**2 + k + 1. Let i be b(0). Is (i - (-1 - h))*-2 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6319934675 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.7 + 2. Let i = 1\/241 - 728\/1205. What is the closest to 1 in i, f, 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11232 and 216?\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: c (base 14) to base 12\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 11:49 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 12 (b) 3 (c) 2 (d) 4214 (e) -3 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 5*n - 5*n + 21 - 3*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 6*r**2 + 7*r - 35. Give w(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 1 - 4 + 24*t in the form k*t + c and give k.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2720 is divided by 849?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*a - 10. Let c be 3\/9 - (-28)\/(-60)*1. Sort 4, 0, c, a in ascending order.\nAnswer: a, c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -821, -801, -779, -755, -729, -701?\nAnswer: -671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 3*d**4 - 3*d**4 + (0 + 0 - 2*d**2)*(-291*d**2 - 202*d**2 - 130*d**2).\nAnswer: 1244*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 16. Suppose -2*v + 4*v + o = 0. Let f(r) = -20*r. Let h be f(v). What is the greatest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23929078 bigger than -71787232\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + 6*f - 30087. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -10. Let m be (q\/2)\/(35\/30). What is the biggest value in -4, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xlagxwnn. What is prob of picking 1 n, 1 a, and 1 l?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 + 11*k - 24. Let l be j(5). Let d = 24 + -16. What is the greatest common divisor of l and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3107485 or 21752385\/7?\nAnswer: 21752385\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11849 and 656?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a + 1. Let i(x) = x - 19. Let k be i(13). Determine o(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 2\/(-6)*3. Suppose 4*t - 16 - d = 0. What is the remainder when 17 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-157)\/(7536\/168)*-206*3\/21.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 q when two letters picked without replacement from {b: 1, g: 1, y: 1, s: 1, j: 2, q: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmjpjmmmpsppmjpmmjmm. What is prob of picking 1 j and 1 p?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -470*l - 646*l**3 + 470*l.\nAnswer: -646*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 5 + 42 - (-11 - 12 - -22)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 89.119 + -0.119. Let t = 83 - f. What is the second biggest value in 1, t, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 731360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**8\/420 + p**6\/90 + 2*p**3\/3 + 3*p. Let w(i) be the second derivative of l(i). What is the third derivative of w(m) wrt m?\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -548, -7, -35, 22, 1 in descending order.\nAnswer: 22, 1, -7, -35, -548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -8, -105, 1, -2 in increasing order.\nAnswer: -105, -13, -8, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -95*b + 19*b + 12 - 1000 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 11:54 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 6695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-4))\/(7\/(-42)). Let o = -1 + r. What is the second derivative of 0*q**3 + 2*q - o*q**3 - q + q wrt q?\nAnswer: -12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 308*n - 1248*n + 456177 = -1961*n - 5228*n for n.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705222892 to the power of 1\/2, to the nearest integer?\nAnswer: 26556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.21 + 5.21. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*u - 10*u - 13*u**4 + (6*u**3 - u**3 - 4*u**3)*(2 - 2*u - 2) + 2*u**3 - u**4 - 2*u**3 + (2 - u**2 - 2)*(-2*u**2 + 0*u**2 + 3*u**2).\nAnswer: -17*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -j - 4*r, 0 = j + 3*r - 1 - 0. Let s be (-24)\/(-8) + ((-2)\/1 - 0). What are the prime factors of 5\/(-2)*j\/s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + 87. Solve k = i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 3:47 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 6765479?\nAnswer: 4\/6765479","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*d + 73*d + 485 = 0. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -6\/4947217?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -74123326 - 14?\nAnswer: -74123341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 11. Let l be (1 - 3) + -10 + 0. Let g be a(l). Let z be 1\/((-5)\/(15\/g)). What is the greatest common factor of z and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -13 - (-46 + 61)) + -58 + 18.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9367952 rounded to the nearest 10000?\nAnswer: 9370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -675a + 15463?\nAnswer: 9804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1746254994?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.04 (c) -1 (d) 0.1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 15 = v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - z = 80, -4*z - z - 48 = -3*g. Calculate the remainder when 36 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((10\/(-3))\/(8\/4))\/(260\/416)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*(2\/5*5 + -5). Let l be 8\/(-2) + (5 - (d - -1)). Suppose -5*w - 4*i + 430 = -l*i, 0 = -2*w + 3*i + 175. Is 15 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 172825, 345166, 517507?\nAnswer: 689848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*m + 35195 = 66771 - 33340 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-5)\/b)\/b*b*b)\/b*b*b**2\/b*b**5*b\/b**2*b*(b*b*b**3*b*b*b**1)**(1\/22) assuming b is positive.\nAnswer: b**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 2. Suppose 2*o + 6 = l*j - 3*o, -28 = -5*j - 4*o. Find the third derivative of 2 - 2 + b**2 - 2*b**j wrt b.\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z - 81. Let x be w(14). Solve x = -2*t + 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -224358 (b) -3\/7 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2 - 1 = 0. Let g(x) = -x**3 - 3*x**2 + 2*x + 4. Let i be g(k). What is the remainder when 41 is divided by i + (41 + -2)\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/15 - 82\/(-5)) + (-80304)\/10038.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -2*q - 2*q - 3*q + 8*q. Let x(a) = -3*a**2. Calculate x(r(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 87747 or 0.03?\nAnswer: 87747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 1 - (-3 - -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*y**3 - 2*y**3 + 3*y**3 + 3*y**3 + 5*y**4 + y**3 + 104*y**2 wrt y?\nAnswer: 120*y - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - z**2 + 7*z - 1. Let v be d(2). Let h be (4 + (-5)\/v)*3. Let f be (-2)\/h*24\/(-4). Which is the biggest value? (a) 0.3 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68\/712587 + -198437224\/1435862805. Let i = h + 2\/403. Which is the smallest value? (a) -3 (b) -5\/4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12070 + -8594. Suppose 0 = 3*m - q - 8524. Suppose 0 = -27*d + 25*d - m. Round d to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 5*f - 8. Let z(r) = -r**2 + r + 3*r + 8 - r**2. Let a(l) = -4*k(l) - 5*z(l). Differentiate a(c) with respect to c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8263.723*-1.\nAnswer: -8263.723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 10396, 4 in decreasing order.\nAnswer: 10396, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - 7) + (-5 - (1 - -5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-82 + 26 - -37)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -6150000*i. Let b be t(4). Round b to the nearest 1000000.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -7*i + 29. Let k be p(-12). Let y = -93 + k. What is the second derivative of -y*r + 62 - 62 - 18*r**2 + 2*r wrt r?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 126*y**2 + 85*y - 755. What is the tens digit of k(10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 5, -7, 0, -5, -53?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 7*c + 0*c)*(-c + 2*c + c) - 2*c**2 - 3*c**2 + 3*c**2 + (0*c + 0*c - 2*c)*(0*c - 3*c + c) - 2*c**2 + 4*c**2 - c**2.\nAnswer: 23*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 + 5*p**2 + 24*p - 9. What is the tens digit of y(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(20) + -1)**2 - sqrt(2160)\/sqrt(3)) + ((5 + ((sqrt(20) + 0)*3 - sqrt(20)))*1)**2.\nAnswer: 16*sqrt(5) + 286","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 5. Let f = 10 + -6. What is the remainder when ((-2)\/y)\/(5\/(-110)) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.5, 1\/2107?\nAnswer: 1\/2107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**3\/4 - 1879*x**2\/4 - 172501*x\/4 + 1202779435\/4.\nAnswer: (x - 1297)**2*(x + 715)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -x - 3*x + 3*x - x + 71 + 3*x in the form q + b*x and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312638.\nAnswer: 2, 156319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -10*z**2. Let o(f) = -1065*f. Determine o(h(j)).\nAnswer: 10650*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -5*c + 4*b, 31*c - 11267 = -3*b - 11047 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -1, 4, -176, -1.2.\nAnswer: -176, -1.2, -1, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -2*a + 520 - 532, 0 = 16*p - 4*a - 164 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, i: 7, s: 1, o: 4, v: 4}. Give prob of sequence oos.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 363672 and 35357.\nAnswer: 2545704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -104, 0.2, 1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3550960.\nAnswer: 2, 5, 7, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*k - 40*k - 8505. Suppose -13*x + 1991 = -k. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -g, 3*t + 10364 - 10367 = 3*g for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 22. Solve -4*c + 4 = -4*o - 16, 0 = -4*c + 2*o + b for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w**2 + 3*w - 4. Let b be r(-4). Suppose -4*l - b = 0, 35 = 2*p + p - 2*l. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01 and -894.\nAnswer: -893.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1719 a factor of 955764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 17023*b + 17042*b - 92 = 0, 0 = 4*a - 5*b + 37 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 8:39 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((0 - 4 + 3)*(-1 + 1 + 2*v) + 5*v - 3*v + v + (-3 + 9 - 7)*(1 - 6 + 2)*(2*v - v + v))*(1 - 1 - 2)*(-2*v + 0 + 0) to r*v**2 + h + q*v and give r.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 284 - 246. What is the greatest common divisor of 513 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-75)\/(-4)))\/(426\/1065)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6.2059 and 0.9?\nAnswer: -5.58531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.21, -3, 2\/23, 1?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*i - 27 = 0, 0 = -q - 4*q + 3*i + 36. Suppose 3*h + q = -0*h. Let o = 73\/123 - -3\/41. What is the second biggest value in -2, o, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 965268098*z**2 - 170962515 wrt z.\nAnswer: 1930536196*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5878.5 rounded to the nearest one hundred?\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 559*(-75)\/(-645) - 127\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**5\/8 - 1533*d**4\/4 + 258669*d**3\/4 + 264399*d**2 + 547881*d\/8 - 1588671\/4 = 0.\nAnswer: -1169, -3, -2, 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (242\/605)\/((4\/6)\/((-25)\/3)). Let q = -5 - -9. Suppose q*s + h - 5 = 0, h = 2*s - h. Sort -3, s, y in decreasing order.\nAnswer: s, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 20*d = 5*f - 25, d = 3*f - 15. Let b = -7679 - -12705. Suppose 0 = -g + 8*y - 10*y + 1263, 4*g - 5*y - b = d. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2045030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -229908 divided by 357\nAnswer: -644","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -40, -160, -358, -634, -988?\n\"Answer: -39*x**2 - 3*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the third derivative of -d**4\/4 + 3*d**2. Let p(r) = 4*r. Calculate a(p(h)).\nAnswer: -24*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y + 144 = 3 + 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 6)*(4 - 5 - 4)*(-6*r**2 - 4*r**2 - 2*r**2).\nAnswer: 180*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23589342 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c**(1\/7)\/c)\/c)**(-13\/3)\/(c\/((c**(-7)\/c)\/c*c)*c**(-10\/9)) assuming c is positive.\nAnswer: c**(-263\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8296365890?\nAnswer: 2, 5, 829636589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 240718 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*x - 2*x = 297. Calculate the lowest common multiple of 19 and x.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-21)\/3)\/196*4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (-2 - (-4 + 8 - 9)) + 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3187006978.\nAnswer: 2, 337, 4728497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102220 + 1?\nAnswer: 102221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-2186)\/(-403317))\/(5\/((-90)\/4))\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = t + 4*l - 3, 3 = -5*t + l for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**2 + 2*p**2 - 4*p**2 + 22.\nAnswer: 2*p**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of l**8\/56 + 17*l**4\/6 + 4*l. What is the third derivative of v(m) wrt m?\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 11*t - 12. Let r be x(5). Let m be 3 - 1*(-2)\/2. Suppose m*q + c = 10, -q = -6*q - 4*c + r. Is 1 greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*3\/(-6)*(-126)\/18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 - -18. Suppose 0*s = 3*s + 5*u + 860, -575 = o*s + 3*u. Let l = -113 - s. Is 13 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 16 = 5*w, -i = -2*w + 13 - 22 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 771 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.88948 decades to millennia.\nAnswer: 0.0788948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111010110111110011101110 (base 2) to base 6.\nAnswer: -1310440450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*c, -3*f + 31 = 2*c - 31. Let n be ((-32)\/(-14) - -2)*7. Let h = n - f. Solve 3*x + 5*v = -h, 2*v - 13 = -4*x - 3 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -246*100.5.\nAnswer: -24723","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 90.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-60)\/(-9) - (-4)\/(-6). Suppose i*z - 105 = 3*z. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11332535 (base 7) in base 2?\nAnswer: -11110100000101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1926\nAnswer: 3852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211027144, -211027145, -211027148, -211027153, -211027160, -211027169?\nAnswer: -211027180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 48.69171um?\nAnswer: 0.004869171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17281\/36 + 480. Calculate the common denominator of 107\/6 and q.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = 4*a - 474. Calculate the remainder when 833 is divided by a.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-17 + -7 - -5)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 + 0.9. Let x(a) = -a**3 - 10*a**2 + 10*a - 7. Let m be x(-11). Let r be (-7)\/(-5) + (-4)\/m. What is the closest to r in -5, h, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(300))**2.\nAnswer: 30000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32075 - 32067. Let s be 69\/15 - 4\/(-10). Suppose -399 = -s*p + 121. Calculate the greatest common divisor of n and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + 0.02998762. Round q to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 2*s**2 - 6*s**2)*(1 - 3 + 1)*(-4 + 1 - 1)*(1 + 4 - 3).\nAnswer: -48*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11751372 divided by -7?\nAnswer: 11751372\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2092 is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*p - 14965485, 4*f - p + 14977205 = -4976790. Let x = f - -3088498. What is x rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 i when two letters picked without replacement from sphpppptppptppipitpp?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116523\/(-231))\/33 - (-6)\/21.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 168127.3881 microseconds to weeks.\nAnswer: 0.00000027798840625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3102 is divided by 387.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 9*w**2 + 9*w. Give f(-9).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h = h - g, 3*h - 1 = 2*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 5:14 AM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.4 - 0.6. Let t = 0.8 - k. Let o = -414 + 414.2. Which is the third smallest value? (a) -2 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55cc (base 15) to base 12\nAnswer: a640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 16. Let m = p + -2. Let a(k) = -m*k - 2*k + 2*k. Let i(q) = -q**2. Calculate i(a(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1185*h**2*i**2*q**2 - h**2*i**2*y + 6*h**2*i - h**2*q**2 + 2*h**2*y - h*i*y - 4*h*q*y - 21*i*q**2 wrt i?\nAnswer: 2370*h**2*q**2 - 2*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 5:16 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.12 + -10.62. Which is the closest to 0? (a) -0.1 (b) 40\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**1\/b)\/b)*b*b)*(b*b**1\/b)\/b*b)\/(b\/(b**(-1\/3)*b))**(-14\/5)*(b**0)**23\/(b\/(b\/(b**(-2\/7)\/b))*b**(-1\/3)) assuming b is positive.\nAnswer: b**(58\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 21. Let o(q) = -4*q**2. Determine f(o(t)).\nAnswer: 8*t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 357420495 a multiple of 1263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - -5*(2 + sqrt(1377)))**2.\nAnswer: 1080*sqrt(17) + 49672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/48 - (-28626)\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 1224*a + 9783. Calculate p(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9bae - 1?\nAnswer: -9bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -ab - -143?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 12 = 3*l, -4*l + 98 - 224 = -s - 125 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 9 - 5\/(15\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104253 divided by 4.\nAnswer: 104253\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, 3, 37, 93, 177, 295?\nAnswer: 453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62776\/195 smaller than 322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 56148 divided by 3?\nAnswer: 18716","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 16*g - 2. Give i(-15).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - 69.9. Which is the closest to -2\/7? (a) x (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 3, 4 in increasing order.\nAnswer: 3, 4, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.096848 days to nanoseconds.\nAnswer: 785967667200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - 28*g - 124. Let h(b) = b**2 - 10*b - 42. Let f(w) = -10*h(w) + 3*z(w). What are the prime factors of f(-21)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4435.21 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1288 and 1353100?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2169, -2\/5, -29\/3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -14, -28, -42, -56, -70?\n\"Answer: -14*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 3. Let h be d(7). Suppose -g = 6 - h. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -562 by 25.\nAnswer: -562\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p - 56 = -4*k, 0 = 5*p + 5*k - 280. What is the remainder when p is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 151*q**2 - 74*q**2 + 0*q**3 + 5 - 76*q**2. Let k be o(0). Solve -2*h + 24 = k*u, u + 26 = 5*h + 5*u for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 4\/2267?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1046\/(-10 + (-72)\/(-7))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5, 9, 13, 17, 21?\n\"Answer: 4*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 5*p**2 + 7*p. Let w be (-2)\/2 - -1*4. Is f(w) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*b**3*f**3*v**2 - 3*b**3*f**3 - 101*b**3 + b*f**2*v + 15*f**3*v**2 + 3*f**3*v + 27*f*v**2 - 7*f*v wrt v.\nAnswer: 20*b**3*f**3 + 30*f**3 + 54*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 greater than -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1823816 and 51\/36704297?\nAnswer: 293634376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -397\/2327 - -3\/179. Let k = 0.5 + -1. Let p(v) = v**3 + 7*v**2 + 8*v + 9. Let w be p(-6). Sort w, k, n in decreasing order.\nAnswer: n, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1218 and 13559994.\nAnswer: 1218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -23*z**3 + 5*z**2 - z + 7. Let n(o) = -24*o**3 + 6*o**2 - o + 8. Calculate -6*k(w) + 5*n(w).\nAnswer: 18*w**3 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*h + 24. Let k(b) = b**3 + 6*b**2 - 2*b - 7. Let g be k(h). Suppose 3*q - 12 = -j, g*q + 2*j - 12 = 2*q. Solve 0*v - q = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(140) + sqrt(140))\/(-1*sqrt(21)\/sqrt(3)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (36 - 16) + -10 + 0 - (-2 + 12)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 615622944?\nAnswer: 615622944.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amda when four letters picked without replacement from {a: 5, d: 1, m: 1, g: 5}.\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = g + 3*v, g - 3*v + 7 - 11 = 0. Suppose i - 2*i = 0. Suppose -x + 29 - g = i. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbmmbbbbb. What is prob of sequence mb?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 bigger than 198\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (26 - 1) + 4 + (22 - 6) + -25?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51669 divided by 1.\nAnswer: 51669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 9 = -5*g, -2*k - 7 - 131 = 3*k - 36*g for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 - 50 - 304*b - 74*b.\nAnswer: -378*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (8 - (-13 + 22)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34146, 34148, 34148, 34146, 34142?\nAnswer: 34136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7048?\nAnswer: 2, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.298 + 9\nAnswer: 10.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 1, 0, -0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - c - 88 = 0. Let q = c - -42. Let v = -4 + q. List the prime factors of v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 241687*g + 109484205. Calculate j(-453).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/2)\/(5660\/(-283)). Let p = 0 - 1. Which is the nearest to p? (a) 0.19 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, 1068, 7, -5, 1, 8 in descending order.\nAnswer: 1068, 8, 7, 1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5861966472 + 765.\nAnswer: -5861965707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*v - 22 = 3*v, 3*v - 9 = -s. Suppose 32*h - 21*h + 132 = 0. Let q be 184*6\/36 - (-8)\/h. Calculate the highest common divisor of s and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*x**3 + 150*x**2 wrt x.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i. Let a(v) = 1829685*v. What is a(d(h))?\nAnswer: -7318740*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-201)\/(-134))\/(3\/2). Let z = 5 - 5.03. Let o = z + -0.17. What is the nearest to -2\/11 in o, 2\/5, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -6 + (61 - 15) - (0 + -3).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -19*k + 407. Calculate i(31).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r - 2*r**3)*(-228 - r + 228).\nAnswer: 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**20\/(t\/(t\/(t*t\/t**(-8\/5)*t)))*(t\/(t*t*t**(-4)*t*t))**(2\/11) assuming t is positive.\nAnswer: t**(857\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 7, 28, 8 in descending order.\nAnswer: 28, 8, 7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 9:33 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*v + 97*v - 438 = -k, -5*v + 732 = 2*k. Calculate the remainder when 289 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -382, -389, -396?\n\"Answer: -7*c - 375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-36)\/20*10\/(-3). Solve 0 = c*u - u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**3\/3 + 266*o\/3 + 88 = 0. What is o?\nAnswer: -11, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 60.805 + -61. Let i = j - -0.095. Which is the nearest to 2\/9? (a) i (b) -5 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -7 - 87. What are the prime factors of m?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*s + 2 = -76 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*d + 60 + 220, -2*n = -d + 175. What is the hundreds digit of (370\/(-12))\/(15\/n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express z + 615 + 0*z - 1394 as r*z + g and give g.\nAnswer: -779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6.8 and -9291949167.\nAnswer: -9291949173.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2 + 13. Let v be -1 + 3*2\/s. Let q = 13 - 40\/3. Which is the nearest to 0.1? (a) -5 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - b - 1. Let v(a) = 5*a**2 + 2*a + 41. Give v(y) + 4*w(y).\nAnswer: y**2 - 2*y + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.01895 to 2 dps.\nAnswer: 22.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 940527, 940498, 940449, 940380, 940291, 940182, 940053?\n\"Answer: -10*y**2 + y + 940536","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 - 5*d + 3. Let p be j(5). Suppose -8*c + 10 = -p*c. Solve -5*t + c - 22 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -495*z + 497*z - 3*y = -64, 3*z = -3*y - 66 for z.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o = 51*o - 372 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from ooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 46. What are the prime factors of w?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) -2\/5 (b) 2 (c) -16\/7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 152 - 32. What is the remainder when 87 is divided by k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vmmmmvmmmmmvmmpmm?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -12652, 4\/5, -1\/4, -5 in descending order.\nAnswer: 4\/5, -1\/4, -5, -12652","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/6 - 3*m**3\/2 + 5*m**2\/3 = 0. Calculate m.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 13 = c - 0*c, 0 = -4*c - 12. Let z(y) = 31 + 16 - 48. Let d(h) = 5 + 0*h + 6*h - 5*h. Determine g*z(m) + d(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/(-8) - 3)\/((-12)\/(-248)). Suppose 0 = -32*n + t*n + 4. Let z = 3.1 - 3. Which is the closest to z? (a) -0.5 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*g**2 - 160*g**2 + 61*g**2 + 55*g**2 + 21 - 27.\nAnswer: 7*g**2 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -63, -126, -191, -258, -327?\n\"Answer: -l**2 - 60*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46115 - 123311?\nAnswer: -55174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/9*(-45)\/20. Suppose b*a = -0*a - 150000. What is a rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 6, -5, 5.\nAnswer: -5, -2, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f + y - 4*y - 24, 2*y = -f - 4. Suppose 3*l + 29 = f*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s + 20 = 0. Suppose -2*n - s + 10 = 0. Suppose -2*o + 5 = -n. Solve -6*p - 5 = -5*v - p, -o*v + 5*p + 2 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of 0*j**3 + 19*j**2 + 1\/180*j**6 + 1\/315*j**7 + 0*j**5 + 0*j**4 + 0*j + 0. Solve p(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-416)\/1170*110\/88)\/(66\/189)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -3.9. Let g = 5 + -6. Which is the closest to w? (a) g (b) -0.3 (c) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + w. Let x(j) = -4*j**3 - 6*j**2 + 8*j - 1. Let f = -1 - 0. Let g(n) = f*x(n) + 3*k(n). Is g(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -18009 (base 11) to base 10.\nAnswer: -25298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2*7.4\nAnswer: -14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 54822 - 54822 + 8*l**3 - 23*l to the form c*l + g*l**3 + y*l**2 + f and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -5. Let d be 112\/28*(1 - 0). Let t be (0\/(-1))\/(d\/2). Sort v, t, -3\/8.\nAnswer: v, -3\/8, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 946\/(10\/(-3) + 4) + (14 - 10). Which is greater: l or 1425?\nAnswer: 1425","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7183350 divided by 2817?\nAnswer: 2550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -180 - 364\/5*d + 41\/5*d**2 - 1\/5*d**3 = 0?\nAnswer: -2, 18, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-13)\/k))\/k)\/(((k*k*k**(-5\/9))\/k)\/k) assuming k is positive.\nAnswer: k**(140\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104022 is divided by 75.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:44 AM and 7:28 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**2 + 7*b + 8. Let x be g(10). Let m = 27 + x. List the prime factors of m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.02745.\nAnswer: 0.008235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1, 0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 12443*l**2 + 5*l - 2. Suppose -4*n = n + 30. Let r be (2 + -3)\/(2\/n). Let c be q(r). Round c to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rvrvrvrvrllvvvvl?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -18*i**2 - i + 1. Let b(c) = -38*c**2 + 250*c - 736. Let v(h) = b(h) - 2*w(h). Factor v(x).\nAnswer: -2*(x - 123)*(x - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.08 - 3. Let k = 0.4 + c. Let i = 0.47906 - k. Round i to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*u**2*y**3 - 267*u**2 - 2*y**3 + y**2 + 276 wrt u.\nAnswer: -12*u*y**3 - 534*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of q**5\/100 + q**4\/30 + 38*q + 28. Let s(b) be the first derivative of z(b). Let s(o) = 0. What is o?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 5, 3, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1344532 + -274.3.\nAnswer: -1344806.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 62\/21 + -30\/7. Suppose 0 = 5*w + 4 - 9. Put w, d, 0 in decreasing order.\nAnswer: w, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j. Let x be -12 + 24*10\/15. Let v(b) = 3*b. Calculate x*v(i) + 4*y(i).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 891247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113 (base 15) to base 2.\nAnswer: 11110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112303213 (base 4) to base 7.\nAnswer: 5151612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/4))\/(w\/w**19))\/(w**(-22)*w\/(w\/w**(6\/11))*w) assuming w is positive.\nAnswer: w**(1725\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 22. Let d be f(-14). Let t(w) be the second derivative of w**4\/12 + 7*w**3\/6 + w. Is t(d) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9321.354kg?\nAnswer: 9.321354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 1 - 1 + (7*g - 3*g - 2*g)*(-2*g**2 - 1 + 1) - 5*g**3 - g**3 + 4*g**3 + 3*g**3 + 0*g**3 - g**3 + 105618 + g + 0*g - 4*g**2 + 27*g**3 - 105616.\nAnswer: 22*g**3 - 4*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -2)\/(-5 + 4). Suppose 0 = 2*f + 3*z + 8, f - m*z - 14 = -0*f. Suppose 0 = f*d - 5*d + 15. Which is the nearest to 1? (a) d (b) -4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 + -114.0358. Let y = 0.0358001417 + q. Round y to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*f = -16. Suppose -2*v - 3*v = -3*r - 976, -780 = -f*v + 2*r. Let i = v - 48. List the prime factors of i.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 - 12.003. Let l = -0.00208 - w. What is l rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - o = -103, 0 = -4*u + 20*o - 17*o + 90. Solve -5*f - 5 = -5*n, -3*n = -20*f + u*f + 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1915 is divided by 268?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Let s(l) = 3*l - 1. Let y(a) be the third derivative of a**4\/6 - a**3\/6 + 2*a**2. Let g be (0 - 1)*8\/4. What is g*y(i) + j*s(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -7 + 76*o + 5 - o**3 - 78*o. Calculate v(-3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14664 is divided by 7289.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74423 is divided by 737?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 0)\/(2\/(4 + -6)). Which is smaller: v or 3\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12302 (base 4) to base 5.\nAnswer: 3214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 - -16. Is (-2495)\/15*(-1 - w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**3 - 125322*b**2 + 250653*b - 125328 = 0.\nAnswer: -41776, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*g + 137*g - 82*g + 42*g)*(-103*g + 131*g + 52*g).\nAnswer: 15840*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15820209 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1315 - 6?\nAnswer: -1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) + 5*(sqrt(245) + 2 + sqrt(245))) - sqrt(245))**2.\nAnswer: 1540*sqrt(5) + 29745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the third derivative of 1\/60*c**5 + 0*c + 1\/24*c**4 + 1\/2*c**3 - 31*c**2 + 0 - 1\/120*c**6. Let f be k(0). Solve -f = v - 2*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 + k + 1. Let q(v) = -v**2 + v - 1. What is -q(x) + y(x)?\nAnswer: 3*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 29749, 30290, 30827, 31360, 31889?\n\"Answer: -2*q**2 + 547*q + 29204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1341, 1310, 1267, 1218, 1169?\n\"Answer: m**3 - 12*m**2 - 2*m + 1354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1155 - -2?\nAnswer: 1157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d + 357 + 27 = -141 for d.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3 + 14620\/(-1020)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164003473 divided by -105877.\nAnswer: -1549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1343 and 425?\nAnswer: 33575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 50 = -q. Solve -32 = -5*c + 3*v, -v = q*c + v - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -23*i**3 - 8*i - 6. Let m be (-176)\/24 - (0 - (-8)\/(-6)). Let u(r) = 8*r**3 + 3*r + 2. What is m*l(o) - 17*u(o)?\nAnswer: 2*o**3 - 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 9*j - 138. Let t be f(20). Solve -t + 15 = -9*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, 5, 0 in descending order.\nAnswer: 5, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/63*(-42)\/(-28). What is the closest to 1 in 1, -2\/5, 2, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313638.\nAnswer: 2, 3, 13, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 755246 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61744.97 nanograms in micrograms?\nAnswer: 61.74497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of 1960*o**2 + 11*o**4 - 1\/5*o**5 - 5488*o - 224*o**3 - 161. Factor t(c).\nAnswer: -(c - 14)**3*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*g**3 + g**2 - 172*g**3 + 42*g**3 - 18*g + 40*g**3 + 4*g**4 - 1 + 33*g**3 in the form n*g**2 + r*g**3 + d*g**4 + a + z*g and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 1 - j**3 + 6*j + 4*j**2 - 4. What is the remainder when y(3) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 18 = 2*h - 0*z, 3*z + 8 = 4*h. Suppose h*p + 21 - 521 = 0. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i - 6. Let z be l(3). Let a(x) = x**3 - 8*x**2 - 6*x + 13. Let v be a(z). What is v rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248774644 - 11.26.\nAnswer: -248774655.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*z + 5*z - 4*z + 6*z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 + 55 = -5*m - 3*d, -2*d = 5*m + 35. Let b = -5 - m. Let y(r) = -5*r. Let c be y(-1). Sort b, c, -3 in ascending order.\nAnswer: -3, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 4*q - 6. Let o be ((-3)\/(-4))\/(1\/8). Determine k(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.133049*0.2\nAnswer: 0.0266098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -501391616 divided by 2104?\nAnswer: -238304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759630 is divided by 1651?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -21, -4, -20, -3.\nAnswer: -21, -20, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -33. Let v = w + -21. Let b be (-3 - -1) + (-17)\/(-9). Does v = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.680887 - 0.058187. What is s rounded to 2 dps?\nAnswer: 2.62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*k = 421 - 98 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13342794 divided by -6?\nAnswer: 2223799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/6 + 5*i**2\/6 + i\/6 - 5\/6.\nAnswer: -(i - 5)*(i - 1)*(i + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 + 4*h**2 - 10*h - 1. Let u(d) = 17*d**3 + 11*d**2 - 29*d - 2. Calculate -11*n(k) + 4*u(k).\nAnswer: 2*k**3 - 6*k + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13429878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**3 + m + 1. Let v be q(-1). Suppose v*u = 12 - 4. Is 5 a factor of u*7 - 21\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8971 is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2 = m, 2*o + 1 = -8*m + 31 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164*d + 2*f + 16 = -165*d, 2*f = 3*d - d + 14 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/10, 0.633, 1\/2?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 12:50 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/7991 and -28\/3.\nAnswer: 23973","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269333791 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15880 divided by -3176.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2. Let i(y) = -y**3 - 4*y**2. Let h(o) = -o**3 - 5*o**2. Let p(d) = 3*h(d) - 4*i(d). Let t be p(-1). Let c(a) = t*a - a - 5*a. What is w(c(g))?\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1178179566 divided by 4?\nAnswer: -589089783\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -14, 7, 0.3, -1.63, -2\/17 in increasing order.\nAnswer: -14, -2, -1.63, -2\/17, 0.3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -1) + (0 - (4 + -1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5034759 - -0.1.\nAnswer: 5034759.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*y = 8*y - 184, -108 = -3*d - 3*y. Let l(c) = -19*c + 2 - 20*c + d*c + 10. Calculate l(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 1851*j**5\/5 - 2*j**3\/3 + 413*j**2 - 4210. What is the third derivative of s(m) wrt m?\nAnswer: 44424*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - n = -72. Solve -2*y - 1 = -n for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25873, -51458, -77043, -102628?\n\"Answer: -25585*u - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -165, -654, -1477, -2628, -4101, -5890, -7989?\nAnswer: -10392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 9. Let v = -2 - u. Which is bigger: v or 2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36564 divided by -44?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 78 = 2*a + 2*g, 152 = 4*a + 5*g. Suppose a*n = 22*n + 1881. What is the greatest common divisor of n and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 10 = 4*z, -2*k - 3*z + 3 = -2*z. Solve -10 = -2*l - u, u - 6 = -k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u + 20. Let g be y(16). Suppose 3*c + 37 = -p, 2*p + 3*c - g*c + 109 = 0. Round p to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1179*l + 41760 - 7678 + 11899 for l.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480*r + 174*r + 1224 = 0. Solve 182*v - 3 = 180*v - 3*o, -o - 9 = r*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3738967?\nAnswer: 3738967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 2*z - 1. Let x(q) = q**3 + 4*q**2 - 6*q - 6. Let m be x(-5). Let n be g(m). Calculate the highest common factor of n and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**3 - 4*x**2 + 6. Suppose -5*u = -201 + 186. Let m(j) = -7*j**3 + 4*j**2 - 6. Let w(o) = u*m(o) + 4*z(o). Give w(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.045 (b) -0.03 (c) 20 (d) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3259, 2587, 1917, 1249, 583?\n\"Answer: q**2 - 675*q + 3933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3726 by 414.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 125.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zj when two letters picked without replacement from rsszzj.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(((-6)\/16)\/3). Let y = k - 14. Which is greater: -33 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 10. Let v be a(7). Solve -l - 9 = -4*l, -5*l = 3*c - v for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1856*r**2 - 319*r - 319. Let n(l) = -35*l**2 - 6*l - 6. Determine 6*a(f) - 319*n(f).\nAnswer: 29*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and -22591?\nAnswer: 18072.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.89 less than -13675?\nAnswer: -13685.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/8*(-1460 - 8). Suppose -3*g + 10 = 2*g, 3*y + g = b. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 58045, 58056, 58067, 58078?\n\"Answer: 11*h + 58034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 2, y: 1}. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 615, 2525, 5733, 10239?\n\"Answer: 649*g**2 - 37*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6264 (base 9) in base 15?\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-11)*z\/(z\/(z\/z**(2\/3))))\/(z**(-1\/4)*z*z*z**(-2\/7)*z))**(-1\/32) assuming z is positive.\nAnswer: z**(1103\/2688)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4) + 108\/(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 685 = -5*w, w + 830 = -119*i + 124*i. Suppose -i = -14*p + 87. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5610 - -5782. Solve 32*k + 11*k = o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*t - 0*t. Suppose -12 = -3*x + 5*g - t*g, 8 = 2*x + 4*g. What is the third derivative of 22*u**2 - u**3 - x*u**3 + 8*u**5 + 5*u**3 wrt u?\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14483883 + 2406\nAnswer: 14486289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 2. Let i(s) be the third derivative of s**6\/120 - s**5\/12 + s**4\/6 + s**3\/2 - s**2. Suppose 1013 = 9*t + 977. Let g be i(t). Determine o(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 447 (b) -238 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 718028 is divided by 8178?\nAnswer: 6542","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 29*z + 397. Let o(r) = -15*r - 198. Let c(h) = -3*j(h) - 7*o(h). What are the prime factors of c(6)?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 510307 or 510309?\nAnswer: 510309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1873, 7640, 17321, 30916, 48425?\nAnswer: 69848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/474 and 32\/1817?\nAnswer: 10902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 103162 divided by 180\nAnswer: 51581\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**3 + 2*c**3 + 117*c**3.\nAnswer: 100*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*b + 81, 45 = 3*j - 9*j - 3*b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let j be q(-6). Let b(d) = -6*d - d**2 + d - d + 6 + 0*d. Let r be b(j). Calculate the highest common factor of 66 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w**2 - 5*w + 5. Let c be m(2). Solve -3*n - 4*f - 9 = 0, -c*n + 2*f + 9 = -6*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(448) + sqrt(448) + sqrt(448)*-1 + 1 + -4)**2.\nAnswer: -768*sqrt(7) + 3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + -2)\/(-1)*90. Let y be 2\/12 - 15*(-438)\/108. Suppose -5*l + 66*q = y*q - 110, l - 10 = -2*q. What is the greatest common factor of t and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19331, 38819, 58305, 77789, 97271, 116751, 136229?\nAnswer: 155705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2033 is divided by (-47)\/((-893)\/2145) - (-2)\/19?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 115244542 + 115244542.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -3*v + 2*x - 36, -3*v + 109 = 4*x. Calculate the greatest common factor of v and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-14 - 0)*13\/26. Let p = o + 28. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2978 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -47. Which is the second biggest value? (a) -0.4 (b) 0.1 (c) h (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -2085 + 469. Is f a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*(3 + (-56)\/14). Let r(w) = w**3 - 4*w**2 + 5*w + 2. Give r(b).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4173 + 181419476.1.\nAnswer: 181419476.5173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.85339 and 2?\nAnswer: -7.70678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(448) - (1 + -2*sqrt(448)))**2 + (sqrt(448)*2)**2 + 0 + -3.\nAnswer: -48*sqrt(7) + 5827","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -132. Suppose 5*p - 2*p = 5*a - z, -5*a + 2*p = -38. Solve -3*b - 18 = 2*c, a*c - 2*b = 3*c - 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182894749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.1, 0.2, 0.381, 29, 12\/7 in descending order.\nAnswer: 29, 5, 12\/7, 0.381, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -630 - -1467. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75.6 + -76. Let m = 5 + -4.5. Which is the third biggest value? (a) m (b) n (c) -2\/21 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26 and 17082?\nAnswer: 17082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*f. Suppose -2*i + 13 = -5*z, -z - 3*z - 4 = f. Factor 4\/3*v**i + 4\/3*v**3 - 8\/3*v**2 + 0 + 0*v.\nAnswer: 4*v**2*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 + -3. Is 940\/6 - 8\/p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + 0 + sqrt(288) + (0 + sqrt(288))*2 + sqrt(288).\nAnswer: -7 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1767, -3543, -5319, -7095, -8871, -10647?\n\"Answer: -1776*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 657440, 1314890, 1972340, 2629790, 3287240?\n\"Answer: 657450*y - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6738747432 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30593056507 and 427.\nAnswer: -30593056080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbcubblub. What is prob of sequence jbb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 24 = 3*n. Suppose 7*f - 51 = 6*f - h, 0 = -2*f + 2*h + 82. Calculate the remainder when f is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 12:26 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 5*c + 4. Suppose 4*f = -4*o, -3*o - 14 = 2*f - 19. Let v be d(o). Solve 0*k - 2*k = v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 9*t. Let m(q) = -3*q. Let s(b) = -7*m(b) - 2*o(b). Let g(i) be the third derivative of -i**4\/8 + 2*i**2. Give g(s(v)).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 703\/644?\nAnswer: 703\/644","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1630761 decades in months?\nAnswer: 19.569132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-21)\/9*(-15)\/(-85). Let q = z - 443\/204. Find the common denominator of q and 127\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 29*b**2 + 2*b**3 + 29*b**2 - 54*b**2 - 2 + 8*b to k + c*b**3 + t*b**2 + a*b and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1624547891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-5))**(-27))**(-12\/11) assuming c is positive.\nAnswer: c**(-1296\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 6*o**2 + o - 3. Let a = -238 - -236. What is z(a)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2125.1449 to 0 decimal places.\nAnswer: -2125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 27*i**2 - 102*i + 4. Calculate k(-5).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 AM and 7:48 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15122 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6578\/(-6877) - 1\/23?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 f, and 1 u when three letters picked without replacement from tfftuxfkfmxtxt?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from dddjjududuuuuu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o - 2004 + 5*o + 92 + 559 - 2403)*(-3*o**3 + o**3 - 5*o**3).\nAnswer: -21*o**4 + 26292*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 492513?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 138*d + 616 = -137*d, -5*d = 20. What is the highest common divisor of 775 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 11*a - 20 = 0. Solve -3*f + a = -1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 56, 66, 72, 74, 72?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 135348*d**3 - 237 - 12 - 135347*d**3 + (0 + 0 + d**2)*(-3*d + 3*d + 2*d) + 2 - d**3 - 2 + 6*d**3 + 5*d**3 - 6*d**3.\nAnswer: 7*d**3 - 249","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1546*f + 1550*f + 2*l - 4 = 0, -5*l - 12 = 32*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 957037.4 kilometers?\nAnswer: 957037400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.380301km in micrometers?\nAnswer: 3380301000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -53*s + 4. Let b(n) = -2*n - 1. Calculate -5*b(r) - t(r).\nAnswer: 63*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 87\/232*4*2. Let f = 0 - 2. List the prime factors of ((-12)\/g - -3)*f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14861360 is divided by 758?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14518 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**2\/5 - 6*a - 15 = 0. What is a?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.33 - 0.03. Let y = 0.95 - 0.05. Let j = 3.1 + y. Sort j, m, -2\/7 in descending order.\nAnswer: j, m, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -41 (c) 0 (d) -2 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 5461750 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -6*f - 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 - -87. Suppose 0 = k - 3*k - 4*n, 28 = b*k - 4*n. Suppose -2*w - k*h + 16 = 0, 4*w - h - 53 = -2*h. What is the remainder when 81 is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 29 = -q, -3*d + 37 + 8 = -3*q. Calculate the highest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 199.38237 months to decades.\nAnswer: 1.66151975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h. Let i(x) = -39*x**2 - 4*x + 9. Let a(g) = -i(g) - 6*p(g). Calculate the remainder when 113 is divided by a(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, k: 2, e: 2, g: 1, i: 3, m: 3}. What is prob of picking 1 e, 1 g, and 1 m?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2598, -5865, -9130, -12387, -15630, -18853, -22050?\nAnswer: -25215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 425398 is divided by 47248?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 8:09 AM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/6*(-6)\/14)\/(72\/(-168))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2018 = 5*o - s, -381*o - s + 406 = -380*o. What is the remainder when o is divided by 110?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v - v)*(31 + 27*v - 31)*(3 + 3 - 5).\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -27, -47, -111, -243, -467, -807, -1287?\n\"Answer: -4*y**3 + 2*y**2 + 2*y - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17\/56 - 6861\/22232. Suppose 5*h = 9*h. Which is bigger: h or x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 14. Let m = 2 - i. Let l(n) = -6 + m*n - 2 + 3 - n**2. What is l(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/5 + 9\/75*5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -387 or -39593?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 11:39 PM?\nAnswer: 12:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6156*u**3 - 8*u**2 + 3*u + 64. Is z(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/6 - 38\/(-57).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-19404)\/297)\/196 + (2 - (-21)\/36).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15012 - -14209.1. Round a to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i + 106 = -130 + 28. Let x(m) = 14*m - 3. Let f(r) = 14*r - 3. What is i*f(g) + 5*x(g)?\nAnswer: 14*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(75) + -1).\nAnswer: -4 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3740)\/(-17204))\/((-5)\/(-2)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144552 = 32*p + 145448 for p.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 17 = -9*i + 4*i, 5*r = 5*i + 105. Solve -r*y + 21*y + 5 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = 2*a - 4*c + 2348, -c - 2323 = -4*a. Let z = 828 - a. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5987 - 5957. Suppose 3*s - 5*d - 1400 = 0, -5*d + 0*d = s - 480. What is the highest common factor of c and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-2*sqrt(78) - sqrt(78)) + sqrt(78))*-3*6)\/((-5*-2*sqrt(42))\/(-6*(sqrt(7) - -1*sqrt(7))))*-3.\nAnswer: 2592*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 2 - 2. Suppose b*f = 3*x + 31, -4*x - 2 = 10. List the prime factors of f\/2 - 7\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3221189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2 (b) -1 (c) 41819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(1 - (2 + -2)). Suppose -7 = -u*h + 2. Solve -h + 7 = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -190520, -190553, -190586?\nAnswer: -190619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14340?\nAnswer: 2, 3, 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46030?\nAnswer: 2, 5, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1009)\/(-12) + (-9)\/108. Suppose -2*y + 20 = -4. Calculate the greatest common divisor of y and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.469266 kilograms in tonnes?\nAnswer: 0.004469266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -26. Let t = 15 - 6. Suppose -t*u + 6*u = -54. Calculate the lowest common multiple of u and h.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -6*j**2 + j - 7. Let k(c) = 29*c**2 - 6*c + 37. Determine -11*b(l) - 2*k(l).\nAnswer: 8*l**2 + l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-10 + 40) - 5 - -15 - (-135 + -2)?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from kxkxxxxxxkkxkxkxkxj.\nAnswer: 77\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 0, 0 = -k + 6*k + 4*u + 3375. List the prime factors of -4 + (8 - (k + -4)).\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 334*c - 4818. Determine i(20).\nAnswer: 1862","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -645, -642, -639, -636, -633?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.26899762 - 0.269. Round f to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 11 - 5 = 0. Let m(c) = c + 35. What is the remainder when m(-28) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 395.66 + -0.66. Let g = 394.9839 - c. Round g to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 0. Let p = 0.215 + -0.21. Let s = p - -0.995. What is the smallest value in i, -4, s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/32*4*-1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.45 - 0.05. Round s to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/762926 and -89\/269268?\nAnswer: 4577556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 36773.72448505.\nAnswer: 36774.72448505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.617 and 8342410.\nAnswer: 8342410.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1160 is divided by 155?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 13462989?\nAnswer: 3\/4487663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -p + p**3 + 42*p**2 + 5 - 41*p**2 + p**3 + 0*p**3 as g + j*p**2 + b*p**3 + h*p and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1415327 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 126 + 415 - 60)*(-i + 9*i - 3*i).\nAnswer: 2535*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(1\/3)\/((x*x**(-4\/5)*x)\/x)*(x**(-1\/2))**(2\/37)*((x**1)**(-7))**(-38) assuming x is positive.\nAnswer: x**(147689\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/7 - 10*h**2 + 452*h\/7 + 1200\/7 = 0 for h.\nAnswer: -2, 12, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/70)\/(14\/(-49))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/21 + (-28)\/(-49). Let h = -60 - -60. Suppose 0 + 0*b + 3\/5*b**5 + h*b**3 + d*b**2 + 6\/5*b**4 = 0. What is b?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*a + 2 + a**2 + 76 - 84 in the form y*a + p + t*a**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/35848 and -31\/112.\nAnswer: 501872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 + f**2 + f - 9. Let m be y(0). Let b(a) = -3*a - 4. Let i be b(3). Let u = i - -37\/3. Sort m, -1\/5, u in ascending order.\nAnswer: m, u, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4973, -4874, -4761, -4634?\n\"Answer: 7*i**2 + 78*i - 5058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 65, 0.1, 3, -0.41, 5?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 AM and 11:01 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 730*r = 743*r - 195. Let c = -28 - -88. What is the remainder when c is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 1642*f + 1647*f + 31 = p, 5*p + 8 = -5*f - 37 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*u - 91*u + 43*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(425) + sqrt(425) + -6*sqrt(425)*-2 + sqrt(425) - 6*sqrt(425)*1) + 3 + (sqrt(425) - (-4 + sqrt(425) + sqrt(425) + 4)))**2.\nAnswer: -136045 - 1200*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - j. Let o be w(-4). Let c = 12 - o. Suppose -v - v = -c. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -10 (c) 0.13 (d) 0.5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/298908 and 43\/3648.\nAnswer: 4782528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1044, 1029, 1004, 969?\n\"Answer: -5*j**2 + 1049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 2344 = 5*i + 3053, 0 = 2*i - 6. Is 26 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/6 - (-66)\/9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*f = 51*f + 120 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -281147, -281149, -281151?\nAnswer: -281153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1486734?\nAnswer: 2, 3, 37, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1361212583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-3)\/18*-2\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 0 - 12 = 0. Solve -4*j + 4 = 4*l, j + 0*l = p*l + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11543178*s*u**3*w**3 + 15*s*u**3*w**2 + 17*s*u**3*w + 583*s*u*w**2 + s*u*w + s*w**3 - u**2 + 2 wrt w?\nAnswer: -69259068*s*u**3 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -627 - 631 + 8*l + 1884 - 626.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -2343413 and -30464360\/13 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - n + 78 = 0, 2*j - 3*n + 30 = -7*n. Let l = j - -14. Let d = l - -9. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6984205*b**6 + 140251*b**2 + 4*b + 1 wrt b?\nAnswer: -838104600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**3 - 17*f**3 - 30*f**3)*(-2 + 2 + 3).\nAnswer: -123*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1029780, -1029760, -1029742, -1029726, -1029712, -1029700?\nAnswer: -1029690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79.33 + 1.67. Let b = 77.3 - l. Round b to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) 0.1 (b) -0.5 (c) 5\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q - 1 + 1 + (0 + 0 - q)*(0 + 1 - 2) + q + 0*q - 3*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -382.5 - -382. Let n = 1\/2 - 2\/3. Let z = 0 + -0.2. What is the third biggest value in b, n, z?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 - -144. Calculate the remainder when 63 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2252.4319 - -2252. Let u = j + 0.43. Round u to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*sqrt(39)\/sqrt(3) + -4) - (0 + sqrt(1872) - (sqrt(13)*3 + -4)))**2*-4.\nAnswer: -24532 - 3360*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus -3605.4516065?\nAnswer: -3606.6516065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -1 - (-8)\/(-2). Let i = -22 + 20. Let u be ((-14)\/6 - i)*(1 - 25). Which is the third biggest value? (a) q (b) u (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2674247210343 and -0.3.\nAnswer: -2674247210343.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4472885 months in years?\nAnswer: 0.120607375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {w: 4, e: 2, t: 1, b: 1, x: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-14)*b*b**(5\/7)*b*((b**10*b)\/b)\/b**13 assuming b is positive.\nAnswer: b**(-100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*i - 72. Let c = -10 - i. What is the least common multiple of (-20)\/6*6\/(-2) and c?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + j - 1. Let z(n) be the second derivative of -2*n**3\/3 - n**2\/2 - n - 1. Let p(q) = g(q) + z(q). Factor p(s).\nAnswer: (s - 2)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 - 119*t + 3137. Calculate the remainder when x(35) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -0.04057.\nAnswer: -0.020285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -693383, -693385, -693387?\n\"Answer: -2*o - 693381","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.096 to 3 dps.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25994.\nAnswer: 2, 41, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*y = 0. Let w = -5 - -3. Let u(s) = -s**3 + 5*s + 5. Let i be u(w). Solve y = i*b + 12, 2*k - 3*b - 9 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + 12*y + 75. Is x(-17) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-1) - (-8 + 9). Suppose 188 = -p*f + 11*f. Let h = 239 - f. What are the prime factors of h?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -350.8 + 252. Let p = l - -109. Let h = 9.9 - p. Which is the second biggest value? (a) 6\/5 (b) h (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*q - 182243 = 0, 5*q - 22 = -12. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiyiiiiiiiooiyiyoi. What is prob of sequence io?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10745?\nAnswer: 5, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 3 = 0, -8*i = 2*g - 18545 + 18525 for g.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -11. Let x(d) = 3*d**2 - 3*d - 5. Let y(g) = -g**2 - g - 1. Let q(r) = f*x(r) + 4*y(r). Let b be q(-1). Put -1, -2, b in descending order.\nAnswer: -1, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9074 - -9078. What is the highest common divisor of 716 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -82*d + 48. Calculate the remainder when z(-3) is divided by 104.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 158*m + 780. What is f(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1960 by 4.\nAnswer: -490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13616 by 3404.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*v + 2*x, 4*v - x - 13 = v. Let q(a) = 2 + 13 - v - a. Let o be q(12). Is 2\/11 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 - -81. List the prime factors of (-336)\/30*g\/2 + 1.\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7066 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1057.615443 - 154367?\nAnswer: -155424.615443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26130 + 26152. Calculate the remainder when 188 is divided by d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 1 = -14. Let n(p) = -3*p + 4. Let v be n(f). Let q = 60.9 - 60.6. Which is the nearest to 1? (a) v (b) 6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -261*g + 263*g - 4*b = 14, -3*g + 19 = -5*b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 767 and 3276.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 830 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*q**2 + 0*q + 2\/3*q**4 + 0 + 14\/3*q**3 = 0. What is q?\nAnswer: -9, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -4*g**2 + g - 3. Let c be i(0). Is c < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 3*n + 1. Let z be l(-5). Let j be (-16)\/(-88) - (-9)\/z. What are the prime factors of (-26)\/j*4\/(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 2*v - 23684, -4*v = -97*q + 91*q + 28472. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 280 divide 2334049?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58 + 0)*-1 - 0. Suppose -2*a - 34 = 44. Let v = k + a. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -3*f**2 - 9*f + 33. Let o be t(-5). Suppose -o*n + 11*n = 704. Calculate the least common multiple of 121 and n.\nAnswer: 968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 596, 597, 598, 599, 600, 601?\n\"Answer: w + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -14735424 * -0.1\nAnswer: 1473542.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 0 - 1\/15*m**5 - m + 0*m**2 - 1\/45*m**6 + 1\/18*m**4 + 2\/9*m**3. Solve x(n) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.09 - -0.71. Let f = 0.6 - q. Sort 5, -2, f.\nAnswer: -2, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (9 + -2 + -1)) + -22 + -4\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the second derivative of c**5\/4 - c**4\/12 + 2*c**3\/3 - c**2 - 63*c. Let h be t(1). Solve 11 = a - 3*n, n = 5*a - 7 - h for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -0.2 (c) -1030 (d) -0.5 (e) -14\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.1 + 4. Let h = m + 1. Let i = -323981.01 - -323981. Which is the closest to h? (a) -0.05 (b) -0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 376, 797, 1302, 1933, 2732, 3741, 5002, 6557?\n\"Answer: 7*f**3 + 372*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jmmmmmmmjmmmmmmj. Give prob of picking 2 m and 1 j.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 521*r**2 - 2*r + 483*r**2 + 521*r**2 - 1584*r**2.\nAnswer: -59*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffbfbfffff.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*u + 4*g, 4*u = -4*g - g + 51. Suppose -5*i - 2*a + u = -6, -4*i + 5 = 3*a. Let z = -6 - -12. Solve -z*t + i = -t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -518 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 3*t**6\/40 - 4*t**3\/3 - 2*t**2. What is the first derivative of u(m) wrt m?\nAnswer: 27*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*q + 7 = 0, 2 = -0*a + 2*a + 2*q. Let d be (28\/45 - 0) + a\/5. Determine c so that -d*c**3 - 2\/3 + 10\/9*c - 2\/9*c**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*a**2 - 63*a**3 + 81*a**3 - 90*a**2.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (60\/(-45))\/((-1)\/2).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4040 = -1252. Suppose -2*h + j = -178. Is h a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -443, 0.3, -4\/9, 1, -1?\nAnswer: -443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1856*a**3 + 3693*a**3 - 789*a**3.\nAnswer: 4760*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2325974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 276597090 to the nearest ten thousand.\nAnswer: 276600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13038?\nAnswer: 2, 3, 41, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -187317 divided by 3?\nAnswer: -62439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 137541*o**3 - 5375*o + 3 wrt o?\nAnswer: 825246*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*r - 494*r + 607*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -0 - 8. Let v(p) = -94*p + 559. Let q be v(6). Sort 1, q, -4, i.\nAnswer: q, -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 3\/(-9)*-3 + 5 + -2?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 21 = q, -b = -3*q + 1 - 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-3 + 4 + -26). Let z = b - -71. Calculate the remainder when z is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 0 + 0*n**4 + 0*n**2 - n + 0*n**5 + 1\/6*n**6 - 1\/3*n**3. What is the second derivative of r(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12550)\/15 + 4\/6. Let f = g - -8263\/10. What is the common denominator of 111\/22 and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 72 + -72. Solve y*g - 8 = 2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3.01. Let a = -4.01 + u. What is the closest to -2 in 5, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746 divided by -6?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 4*n**2 + 4*n - 3. Let l be c(2). Find the second derivative of 0*z**4 - 2*z + z**4 + l*z wrt z.\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.97 - -0.03. Suppose 13*b - 1 = -27. What is the biggest value in b, -1\/7, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + k - 1 + (-5*k + 4*k + 3*k)*(0 + 0 - 1) - 2 - 2*k + 2 + (-1 + 1 + 1)*(-754*k - 2121*k - 1178*k - 939*k) to the form x + v*k and give v.\nAnswer: -4995","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 84 divided by 6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5376*c + 5376*c + 4*c**3 + 14*c**2)*((2*c - 2*c - 2*c)*(-3 + 1 + 0) - 1 + 1 + 2*c + 2*c + 5 - 5 - 1 + c + 1).\nAnswer: 36*c**4 + 126*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -13*x - 18. Let i(v) = -v. Let m(z) = 6*i(z) - q(z). Let y be m(-6). Let o = -20 - y. Solve o*t + 4 = d, d + 7 - 2 = -5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54777 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2143*y - 5*y**2 + 5*y**2 - 14*y**3 + 4*y**2 - 32*y**3 - 6*y**2 wrt y.\nAnswer: -276*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of -5*s**3\/6 - 5*s. Let k(o) be the third derivative of o**5\/10 + 37*o**2. What is q(k(u))?\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 5. Let l = z + 7. Let s(p) = -p**2 + p + 45. What is the units digit of s(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggigigli. Give prob of picking 2 g.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + 12\/(-8)*28\/21. Suppose -5*n + 2*n - 4*c = -264, q*c - 348 = -4*n. Calculate the remainder when n is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1440)*-4 + sqrt(1440))\/sqrt(2).\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-26)\/d)\/(d*d**(-20))*(d*d**(-2\/5))**(-28) assuming d is positive.\nAnswer: d**(-124\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -4*d**2 - 52*d + 1886. Determine x(-29).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c + 3. Let y be a(3). Let m(u) = -u**3 + 4. Let d be m(y). Let x = 668\/5 + -134. Put x, d, -2\/9 in increasing order.\nAnswer: x, -2\/9, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5450, -10901, -16352, -21803, -27254, -32705?\nAnswer: -38156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9 + 4)*1*-1. Suppose -i*k = -99 - 1256. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1948, 3893, 5838, 7783?\n\"Answer: 1945*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 35\/2. Let y = -12 - 0. Let s = y - -12. Put 0.01, s, o in decreasing order.\nAnswer: 0.01, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -t + 14*a - 10*a, -79 = -4*t + a. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(20 - 11) + 6\/1. Let z = -3.4 - 0.6. Sort 1, z, q, 4 in descending order.\nAnswer: 4, 1, q, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3211838?\nAnswer: 2, 7, 383, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 38 = 2*v + v, -2*f = -2. Let c(z) = -z**2 - 11*z - 6. What is the lowest common multiple of c(-7) and v?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1082*b**2 - 1047*b wrt b.\nAnswer: 2164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1107 divided by 14\nAnswer: -1107\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 1:38 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22041384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 4*g - 12. Let t(i) = -6. Let z = 2093 - 2087. Calculate z*h(y) - 12*t(y).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 28*w + 2319. Is 13 a factor of k(-68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.5 (b) 1\/3 (c) -1 (d) -3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 + 3*l**2 + 9. Let u(s) = 7*s**3 - 7*s**2 + 2*s - 19. Let i(g) = 5*b(g) + 3*u(g). Suppose 0*w + 2*w = 12. Is 2 a factor of i(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -600?\nAnswer: 600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + -6. Let m = 18 + b. Let h = m + -45.00000049. What is h rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**16\/z*z**(6\/11)\/z*z)\/(z**(5\/7)*z)**(-13\/7) assuming z is positive.\nAnswer: z**(10095\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 12591, -0.11, 137?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(19) + sqrt(19) + -5 + 5 + -2*((-1 + sqrt(19))*-3 - (sqrt(19) + 1)**2*5).\nAnswer: 29*sqrt(19) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -207*a*i - 12655*a + 130*i**4 wrt i.\nAnswer: -207*a + 520*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/31)*a)\/(a\/a**(-12)) assuming a is positive.\nAnswer: a**(-343\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 32.82486 days?\nAnswer: 2836067904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 294 - 4*c**3 + 173 + 0*c**3 - 467.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*x - 1 + 1 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + -1*sqrt(5) + -4 - ((-2*sqrt(180))\/sqrt(4) + sqrt(1125) + 0).\nAnswer: -10*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g**4\/4 + 3911*g**3\/4 + 23439*g**2\/4 + 35145*g\/4 = 0. What is g?\nAnswer: -3905, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -10110100010?\nAnswer: -10110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 2210020?\nAnswer: 2210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**3 - 62481*j**2 - 249936*j - 249940 = 0. What is j?\nAnswer: -2, 62485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21736763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 4*o = 30, 5*h - 49303*o - 2 = -49305*o - 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 - 1144?\nAnswer: -1160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -644 + 715. What is the remainder when 2341 is divided by x?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y. Let w(t) = -6*t - 43529. Determine w(x(a)).\nAnswer: -12*a - 43529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 17*l**2 - 31*l + 12. Let m be 2\/4*2 + -11 + 25. Let i be n(m). What is the nearest to 0.2 in 0.09, 2, i?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*r**5 + 16*r**5 + 13*r**5 + 7*r - 2*r wrt r?\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1194 + 2?\nAnswer: -1192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrcrgctrrrrtrtrcgc. Give prob of sequence tt.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 5*x + 155, 2*x + 54 = -z - 20. Let j = x - -39. Suppose 4*k - 24 = j*w, 5*w + 21 + 8 = 4*k. What is the third smallest value in -0.4, 2\/17, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/4 (b) -4 (c) -1 (d) 42239 (e) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73264 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10*m + 11*m + 3, -2*i + 8*m = 18. What is the closest to -3\/4 in 2, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -262*n**5 + 3*n**4 - 142147*n**3 - 766489866*n**2 wrt n.\nAnswer: -15720*n**2 + 72*n - 852882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, -1586, -3843, -7004?\nAnswer: -11069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Let n be m(-7). Let x = 17 - n. Let t(v) = 5*v - 1. Let s(j) = -14*j + 3. Give x*t(l) + 4*s(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from {a: 6, p: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 15*o + 8. Calculate f(19).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 + -0.1. Let c = 82227.1999974 - 82227. Let v = c - b. What is v rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*m**5 + 39*m**3 - 33265*m**2 + 567553125*m wrt m?\nAnswer: 720*m**3 + 234*m - 66530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*t + 6, 3*t = 10*f - 15*f - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -1)*((-11)\/(-22) + -1). Suppose -16*o - 28*o + 88 = v. Sort o, 0, 3, 4 in descending order.\nAnswer: 4, 3, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428848 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 3. Let s(a) = 1. Calculate -2*q(p) - 5*s(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 11214413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 765 and 638685?\nAnswer: 10857645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3611791 and 0.55.\nAnswer: 1986485.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + (-3 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 325, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.138, 2, -64 in increasing order.\nAnswer: -64, 0.138, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 104.0174 and 1.2.\nAnswer: 124.82088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2\/3, 7, 0.2, -2, 2\/25, -2\/19, 4\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -17. Let y be 2 - a*(-9)\/6. Suppose 3*o = -y*n + 95, o + 26 + 1 = n. Is n a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -2\/4425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 669 divided by 608.\nAnswer: 669\/608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1664251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.0393 kilometers in nanometers?\nAnswer: 6039300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*v**2 + 160*v**3 + 111*v**2 - 189*v**2.\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136 and 603440?\nAnswer: 10258480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 631340?\nAnswer: 2, 5, 31567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 17*q - 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b06108 (base 12) in base 9?\nAnswer: 36233078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 0, -13*z = -18*z - 4*m - 10. Suppose -5*u + 57 = 2*h + 17, 4*u - h = 19. Suppose 3*k - 5*k + u = 0. Put z, 5, k in descending order.\nAnswer: 5, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1798085 times -15\nAnswer: -2.6971275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-20)\/(-88)*(-101)\/(-5) and -39\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 4*w + 8. Let m be u(7). Let f be ((-4)\/(-6))\/(8\/m). Suppose -f*z - z = -8. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -17. Let x(f) = 8*f**2 - 11*f**2 + 4*f**2 + u + 10*f. Let w be x(-10). Solve 0 = q - w*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -38, 17, 320 in increasing order.\nAnswer: -38, -9, 17, 320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -504, -528, -568, -624, -696?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11\/(-22) + (-13)\/(-2) - -994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 - 69. Suppose -5*a + 5*m = -h, -4*m - 5 = 3*a - 77. What is the lowest common multiple of 4 and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) - (-1*sqrt(864) - sqrt(864)) - (sqrt(24)*1 + sqrt(24))*-6)\/((sqrt(1152) - (sqrt(1152) + (sqrt(1152) - sqrt(1152)*-1*3 - sqrt(1152))))*6).\nAnswer: -25*sqrt(3)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**2\/2 + 25286671*p - 639415730262241\/2 = 0.\nAnswer: 25286671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9680 = 19*t + 3*t. Suppose 9*i = 13*i - t. What are the prime factors of i?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2332560 divided by 60\nAnswer: 38876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 7*h - 12*h - 30, 0 = 2*h - a + 11. Calculate the remainder when 192\/(h - 36\/(-8)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1153*k*o*s - 6305*k*s**3 + 30*o*s**3 + 8423*o*s - o wrt k?\nAnswer: 1153*o*s - 6305*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(1\/6)*h*(h\/(h\/(h*h*h**5)))\/h*(h\/(h*h**5*h))**(6\/5))**(2\/77) assuming h is positive.\nAnswer: h**(29\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 1730 = -30*o. What is the remainder when o is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34072*u**2 + 34072*u**2 + 4083*u**3)*(-7*u - 4*u - 1 + 5*u).\nAnswer: -24498*u**4 - 4083*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - i - 5 = 0, -4*g + 5*i - 27 = -7*g. Let u = 98 + -68. Suppose -a + 5 = 0, 0 = -g*w - w - 5*a + u. Solve 5*v - w - 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.09, -5, 18.59 in descending order.\nAnswer: 18.59, 10, 0.09, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(15)\/sqrt(80) + (sqrt(21)\/(sqrt(112) - sqrt(7)))**2 + sqrt(3) + (sqrt(108) + -1)**2)*6.\nAnswer: -117*sqrt(3)\/2 + 656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1))**(8\/9))**(1\/8)\/(((z\/z**(2\/7))\/z)**(-1\/14)\/(z**(2\/5)\/(z\/z**(-3\/7)*z))) assuming z is positive.\nAnswer: z**(-4763\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001746 rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*d - 173 = 6207. What is the smallest common multiple of d and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-45*l**2 - 305 + 305)*(-1 - 2 + 1) - 4*l**2 + 2*l**2 + 3*l**2 in the form d*l + u*l**2 + m and give u.\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 3, -4*q = -n + q + 948. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 4*x - 2800 = -8*c, 5*x - 20 = 0. Is 24 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6) + 7 + -16 + 16?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 37191815 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r - 23. Give k(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30 - 28?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 PM and 9:21 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**3 + l**3 + l**3)*(l + l - 3*l) + 8*l**4 + 17*l**4 - 8*l**4.\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-60)*(-5 + (11 - 9)). Let g(n) = -7*n + 4. Let b be g(-3). Put b, -3\/5, -1, y in descending order.\nAnswer: b, y, -3\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10083135851 take away 83.32?\nAnswer: -10083135934.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l**3 + 11*l**2 + 2520*l + 7488. What is m(-3)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -298, -4\/9, 11\/6, -1?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-226)\/10 + (5 - 11). Which is greater: -28 or g?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20620873 - 0.9.\nAnswer: -20620873.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10102001010202 - -220120?\nAnswer: 10102002001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29614 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7210000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in 2, -3640091, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -16*v**2 + 2655*v - 70078. What is i(133)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/8102)\/1*-8. Let g = 2834820050785157\/72918 + -38876821230. Let p = x + g. What is the common denominator of -61\/14 and p?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 27*n**2 - 90*n - 5. Let p be d(-30). Let x = 55 + -55.3. Which is the second biggest value? (a) 3.4 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 23. Factor -a - a - p + 19*a**2 - 20*a**2.\nAnswer: -(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (618\/8)\/(90\/240) is divided by 41?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19752 is divided by 71?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*d - 160 = 235*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -161*c**2 - 10*c + 23. Let l(u) = -181*u**2 - 12*u + 26. Let k(i) = -8*l(i) + 9*q(i). Let g = -18 - -26. Determine k(g).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-8)\/(u**(-13)*u))**(-48) assuming u is positive.\nAnswer: u**(-192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(8)*4)\/(sqrt(3) + sqrt(21)\/(sqrt(7)*-2 - sqrt(7)) + (sqrt(768) - sqrt(48))).\nAnswer: 3*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/5 - 4792538*w\/5 + 14377632\/5 = 0.\nAnswer: -2396272, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x + 2. Let z be q(-3). Let o = -2 + 4\/3. Which is the closest to o? (a) z (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 395.111 + -0.111. Let a = 393 - d. Sort -3, a, -149 in decreasing order.\nAnswer: a, -3, -149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 177 - 77. Let q be (v\/15)\/2*-33975*4. Round q to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 1151.4 (c) 78 (d) 8\/15 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -37 + (-11124)\/(-300) + (-246)\/(-50). Suppose 5*z + 1 = 26. Suppose -o - 81 = -z*p - 10, -5*p + 4*o = -59. Solve i*a + p = 2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29331 + -29321. Solve f*d - 2220 = -2290 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -3, -93, 603, -6 in descending order.\nAnswer: 603, 5, -2, -3, -6, -93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-49.2\nAnswer: -19.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181*-14680.\nAnswer: -2657080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + 4. Let x be (-1 - (5 - 4))\/2. Let r = 1 + -0.8. Which is the nearest to x? (a) r (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 3:19 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103215 and 2100?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -2\/7 (b) 2 (c) -4 (d) 0.78\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j + 11. Let c be i(-8). What is the units digit of 1\/c - (-1792)\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -90951 + -0.01\nAnswer: -90951.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -23371, -46713, -70055, -93397, -116739?\n\"Answer: -23342*z - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 45 - 13. Suppose 5*i - z = i. Suppose -s - 3*o + i*o = -10, -2*o - 4 = 4*s. Solve s*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 223*y - 225*y + 2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 18*s**3 + 12*s**3)*(-4*s + 2*s + 3*s) - 8*s**4 - 2*s**4 - 12*s**4.\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t + 214*t + 78*t in the form f*t + m and give f.\nAnswer: 285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*r - 2 + 3*r**2 + 6*r)*(-167*r - 1551 + 1551).\nAnswer: -501*r**3 + 334*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -3a?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + h + 2)*(-2 - 1 + 5)*(16 + 0 - 1)*(3 + 4 - 4).\nAnswer: 90*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*g - 0*g + 199, -3*g = -2*a - 153. Is g a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 22, 119, 338, 739, 1382?\n\"Answer: 10*j**3 + j**2 + 24*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/2583 - -193721\/5166. Calculate the common denominator of j and -119\/702.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2 + b - 2. Let v be x(2). Find the second derivative of -7*i + 7*i - 4*i**5 + v*i wrt i.\nAnswer: -80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 8:12 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-4) - 169\/234. Let h = -234\/1081 - -4\/23. Which is the smallest value? (a) l (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32100620.74 rounded to the nearest 100000?\nAnswer: 32100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**2 + 4882*h + 3*h**2 - 2463*h - 2419*h.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n - 1. Suppose 5 = -h - 3*h + m, m - 3 = 3*h. Let j be (h\/3)\/((-4)\/6). Let l(k) = k - 1. Calculate j*z(t) + 2*l(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - -147. Let l = q - 157. Let i = 9.99 + 0.01. What is the nearest to 0.1 in l, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 1284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nr when two letters picked without replacement from rrrnrnrnrrrr.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1434 is divided by 679?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328138 = 17*w + 4305. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-26)\/4*-2). Let f = -0.77 + 0.832. Let m = f + -0.262. Which is the nearest to 0? (a) j (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -459720*b - 12872164. Determine u(-28).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w. Let j = 23 + -341. Let u = j - -317. Let x(g) = g**3 + 5*g - 2. What is u*x(i) + 5*q(i)?\nAnswer: -i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*s**3 - 564*s**2 - 501*s - 30 = 0. What is s?\nAnswer: -5, -1, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 h, and 2 l when four letters picked without replacement from {h: 1, a: 1, l: 2, d: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - z**2 - 6*z**2)*(2*z**2 + 0*z**2 + z**2) + 2*z**4 + 4*z**4 - 4*z**4.\nAnswer: -22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 34, 93, 176, 283, 414?\nAnswer: 569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3294 + 39*o**3 + 3294.\nAnswer: 39*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1638 - 1672. Which is greater: v or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -121097.9 to the nearest 100.\nAnswer: -121100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -20*p**2 - 16. Give u(4).\nAnswer: -336","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -152964*a*p**2 - a*p + 165961*a wrt p.\nAnswer: -305928*a*p - a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 7*t**2 - 5*t + 2. Let v be d(5). Let r = -50 + 32. Let c = v + r. What is the highest common divisor of c and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.031 - -2.069. Let y = 1.6 + i. Let t = -3.6999987 + y. What is t rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 3)*(-221*n + 94*n - 274*n) - 5*n + 24*n + 24*n to the form k + y*n and give y.\nAnswer: -759","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3988215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**2 + 42*p - 41. Give m(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-14 + 6 + -61) - 24.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 9) in base 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1333 + 1332.6641. Let p = u - -0.0359. Which is the fourth smallest value? (a) -8\/13 (b) 5 (c) 4\/3 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6619\/908 + 9\/227. Let h = 163\/33 + -6473\/1188. Calculate the common denominator of m and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = d + 20. Suppose 0 = 3*y - 2*z - 28, -32 - 8 = -4*y + d*z. What is the highest common divisor of 32 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 665.7 and -7.3.\nAnswer: -4859.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61 - (0 + -2 + 3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(0 + 3 + -6 - -1). Let t(q) = -q**2 - 16*q - 42. Let w be t(-12). Let n be (-10)\/w*(-3 + (-1299)\/(-435)). Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y - 1. Let i(x) = 5*x**2 - x + 1. Let s(a) = -i(a) - 6*v(a). Give s(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -13*w**2\/2 + 5*w + 4. Let f(o) be the third derivative of -o**4\/8 + o**3\/6 - 39*o**2. Determine 2*b(h) - 9*f(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 357318397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -8634407.79 rounded to the nearest one thousand?\nAnswer: -8634000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 5*s**3 - 3*s**2 - 25. Let l(z) = 18*z**3 - 16*z**2 - 18. Let y(j) = 16*j**3 - 14*j**2 - 19. Let a(n) = -6*l(n) + 7*y(n). What is -3*a(m) + 2*u(m)?\nAnswer: -2*m**3 + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -5317*s**5\/20 - 19*s**4\/12 + 2*s**3\/3 - 11*s**2\/2 - 2*s + 37. Find the third derivative of k(u) wrt u.\nAnswer: -31902","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61355, -122706, -184055, -245402, -306747, -368090?\nAnswer: -429431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4))**(5\/6)\/(c*c**6*c\/(c\/(c**(1\/7)*c))) assuming c is positive.\nAnswer: c**(-1403\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 + 7)*20\/35. Suppose 3*o = -o + y*r, -3*r = 0. Solve o = b - 4*b - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, k: 4, w: 3, g: 1, d: 1}. What is prob of sequence wywg?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29940452 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - ((-78)\/3 + 0). Suppose -2*u - 3*y + q = 0, -y - 8 = 8*u - 9*u. Solve 4*x - 3*s + 5 = 0, 0*x = 5*x - 3*s + u for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**2 + 6*q**2 - 32*q - 2*q**2 - 4 - 4*q**2 + 7*q. Let i(n) = n**2 - n - 1. Give -3*i(m) + l(m).\nAnswer: -m**2 - 22*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 21142403 (base 5) to base 16\nAnswer: 2b6bd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1276630?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*h**2 - 9*h**2 - h - 6*h**2 in the form x*h**2 + s*h + l and give x.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + -1 + (-76)\/24. What is the nearest to 17 in 0.5, -0.3, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107934608 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1 + sqrt(13) - (sqrt(39)\/sqrt(3) + -2) - (sqrt(208)*1 + 3)**2)*2.\nAnswer: -424 - 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -10.1. Let r = y + 0.1. Let j = -2.0000005 - r. Round j to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1054241 is divided by 507?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1\/1718 - 327\/913976. Which is the third biggest value? (a) u (b) 2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*z**2 - 13\/3*z**4 + 0*z - 7\/6*z**5 + 0 - 10\/3*z**3.\nAnswer: -z**2*(z + 2)**2*(7*z - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41 + 45. Suppose -a - 13 = -5*m, 5*a = 5*m - b - 1. Suppose 2*g = -m + 9. Solve 19 = -3*x - 4*o, g*x - 3*o - o - 13 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157948123 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1953*r - 7. Let v(g) = -1951*g - 6. Determine -5*b(j) + 6*v(j).\nAnswer: -1941*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77946 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2 + 4*g. Let t be m(-3). Let i(k) = 3*k + 2. Suppose 9 = -5*d - 11. Let n be i(d). Which is greater: t or n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-540)\/75)\/18)\/(28\/60)*42?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o, 7*o - 25 = 18*i - 11*i - 12*i + 16*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/8 and 23\/478641?\nAnswer: 3829128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrggrrbbzffrzzjgrzr. What is prob of sequence rgf?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uyy when three letters picked without replacement from {p: 3, u: 1, y: 4, g: 6}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3260 by 4.\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18678 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 7*q. Let n(d) = -5*d + 22 - 3673*d**2 - 22 + 3685*d**2. Determine n(w(b)).\nAnswer: 588*b**2 - 35*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3987, -287, -1\/4?\nAnswer: -287","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/105*-3 - 39\/(-21). Let v(o) = -2*o**3 - 2*o**2 + 2*o. Let i be v(-2). Suppose -10 = h + i*h. Put h, 14, x in descending order.\nAnswer: 14, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2220 (base 4) in base 5?\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**4\/4 - 5*v**3\/6 - 7*v**2. What is the derivative of d(m) wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/20 and 77\/640?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-24))\/(175\/30).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 AM and 8:40 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 3 - (-26 + 29)) + 42 - (8 - -1).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 11 = -2*k, 20*k - 23*k - 4*j = 1 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77698 is divided by 62?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2253, 5, 2, 1 in decreasing order.\nAnswer: 5, 2, 1, -2253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 102 = 24. Suppose -70 = -2*s + m*g - 20*g, 0 = -3*g + 6. What is the greatest common divisor of s and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 30*r**3 + 193*r**2 + 480*r + 256.\nAnswer: (r - 16)**2*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + k = 29, -5*w + 0*k + 4*k - 41 = 0. Suppose x - 7*x = 6. Which is the biggest value? (a) w (b) x (c) 0 (d) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a24aaa (base 15) to base 2.\nAnswer: -11101011010100010111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 3*p + 39, 7 = r - 5*p. Sort -2, 1, -3, r in increasing order.\nAnswer: r, -3, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*t**4 + t**4 - 5*t**4 + (t**2 - t**2 + 2*t**2)*(t**2 + t**2 - 3*t**2) + t**3 + 5*t**4 - t**3.\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16531102.\nAnswer: 2, 7, 19, 29, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b + 30. Let v be s(-14). Let z be v\/(-4) - (2 + 1). Suppose -2*n - 2*n + 160 = z. Is n a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 30 - 35 + 940*v - 1192*v - 4 + 4 - v + (v - v - v)*(1 - 4 + 0).\nAnswer: -250*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 0 + ((sqrt(3267) - (sqrt(3267) - (sqrt(3267) + 1 + sqrt(3267) - sqrt(3267))))*-6*-5)**2.\nAnswer: 59400*sqrt(3) + 2941202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2602686*q**3 + 21689*q**2 + 154.\nAnswer: -15616116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2176\/(-119) + 20)*4\/12?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3220031104 - 1?\nAnswer: 3220031103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 5\/4, -0.4, -1.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-3))\/(4\/(-2)). Suppose s - 3 - 3 = z. Let y be (40\/(-6))\/(s\/54000). Round y to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c**2 - 7*c - 1. Give n(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 10) + 3 + 3 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24 + -2 - (-21)\/(-3). Solve 0*v + 5*v - p = 0, 17 = 4*l + 3*v for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 35 - 35 - 43*f**3 + (0*f**2 + 0*f**2 + f**2)*(33*f + 8 - 10 + 2).\nAnswer: -10*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-18)\/s**(-17) assuming s is positive.\nAnswer: 1\/s","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 108 = 5*m - 120, -w - 3*m + 20 = 0. Let y(v) = -88*v. Let d(a) = 59*a. What is w*d(h) + 5*y(h)?\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(24\/15))\/1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-24))\/((-78)\/(-16)). Let r = 368 - 364. Suppose b = -4*g - 6, -r*g - 4*b - b - 14 = 0. Which is greater: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)*(w\/w**(-3\/11))\/w)\/(w**3*w)**(30\/7) assuming w is positive.\nAnswer: w**(-2685\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 882 is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -845162 divided by -4?\nAnswer: 422581\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -1\/47, 16, -4, -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17460.9 - 16567. What is i rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 - (12 - (1 + 5))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6885 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32217513 to the power of 1\/2, to the nearest integer?\nAnswer: 5676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 - 4 + 2*h + h**2 + 1 + 0*h - 7*h**2. What is d(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 178\/1 + 2\/2. Suppose -41 = -v + 5*g, 3*v + 4*g - 5*g - i = 0. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86831044 is divided by 66?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5580.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 221240, 221242, 221246, 221252, 221260, 221270?\n\"Answer: m**2 - m + 221240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27458849 is divided by 4312?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -464*p**3 + 155\/2*p**4 - 2337\/2*p**2 - 8 - 635*p = 0. What is p?\nAnswer: -1, -2\/155, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 324 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q - 1 + 1. Let v(u) be the first derivative of 2 + u + q*u**2 - 1\/3*u**3. Find the first derivative of v(l) wrt l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02208 + 41.02208. Put v, -1, -1\/4 in decreasing order.\nAnswer: v, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 + 738*p + 27864.\nAnswer: -(p - 774)*(p + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 6:14 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 + (-1 - (-2 + 3)). Let n be (-28)\/(-36) - q\/18. Suppose -21 = y + 5*l, -2 = -2*y - l + 1. Solve w + y = -2*d - n, 20 = 5*w - 5*d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2207727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 663524242022.2 and -0.05.\nAnswer: 663524242022.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -438e?\nAnswer: -438a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 + 2*q. Let k = -3761 + 3762. Let y(v) = -1. Calculate k*z(w) - 2*y(w).\nAnswer: -3*w**2 + 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -211*x - 582*x + 166*x - 431*x.\nAnswer: -1058*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b - 7. Let z(j) = 6*j - 9. Let r(f) = -7*d(f) + 6*z(f). Let c(o) = o - 2*o + 1 - 2. Suppose 4*q = q - 3. Determine q*r(g) + 4*c(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) -4\/3 (c) 8 (d) 3\/5 (e) 1\/25\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (38\/(-6) - -6) + 5\/24. Suppose -133 = 9*l - 8*l. Let y = 927\/7 + l. What is the closest to 2\/17 in -4, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**(-3\/2)\/z*z*z)))\/(z**4\/z))\/((z\/z**(-8\/7))\/(z\/(z\/(z\/(z**8\/z))*z))) assuming z is positive.\nAnswer: z**(-163\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/7 + 1539*t**2\/7 + 23937*t - 24157 = 0.\nAnswer: -1421, -119, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 - 17. Let i be j\/15 - (-4)\/(-10). Do i and -6\/7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9665 (base 13) to base 14\nAnswer: -786a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19276\/((-32)\/(-8)) + (13 - 6).\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 v when four letters picked without replacement from iveiiieivveiive.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 - -1.3. Let f = -795.9 - -795.97. Which is the second smallest value? (a) f (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = -3*i - n + 3*n, 4*n = -4 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0317 + 0.2473. What is o rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 2:04 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 0*k + k**3 - 3 + 3\/2*k**2. Let a(d) = 0. Calculate d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 - 63*h - 588.\nAnswer: 3*(h - 28)*(h + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39625 is divided by 45?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -78 + 66. Let t be (-2)\/l*60\/(-3). Is t >= -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djjddd. What is prob of sequence jd?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 11*u - 25. Let q(j) = -3*j**2 + 34*j - 74. Let h(a) = -6*q(a) + 17*y(a). Let b be h(16). Which is greater: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6543 is divided by 198.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89202 is divided by 3568.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 172 = -31*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 14. Determine h(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1209\/17 + 71. Let m(j) = j + 7. Let s be m(-7). Suppose g = 4*p + 12, 4*g - p - p - 6 = s. Which is the closest to 0? (a) -5 (b) n (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -232330321 (base 4) to base 11\nAnswer: -121540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 4*j - 5 = 0, f - 13*j + 12 = -10*j for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 46 - 41. Suppose u*q - 1790 = 2475. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 250*c**4 - 689*c**4 - 634*c**4 + 0*c**4 + 0*c**4 - c**4 + c**4 + 0*c**3 + 0*c**3 + (0 + 2*c**2 + 0)*(-c**2 + 0*c + 0*c).\nAnswer: -1075*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29436 a multiple of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21991310 to the power of 1\/2, to the nearest integer?\nAnswer: 4689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of -94 and -0.1886278.\nAnswer: -94.1886278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 - 3 - 3 + 4 + (1 - 5 + 3)*(1 + 3 - 2) - 4 + 3 - 1)*(0 + 0 - 1)*(1 - 2 + 0)*(-3 + 3 - 3*j).\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -173\/480 and 119\/320.\nAnswer: 960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = -2*s. Let m(j) = -j**3 + 9*j**2 + 3*j - 22. Let k be m(s). Solve -k*r - 5*v = 45, 0*v + 3*v + 19 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.4199 + 0.4.\nAnswer: -8.0199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 11 + 13. Let n = d - -21. Calculate the highest common factor of n and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**3 + 2*n. Let g(f) = -189*f**3 - 77*f. Calculate -2*g(u) - 77*y(u).\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4050376 is divided by 32403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*q + 156 = 0, -195 - 129 = -4*w + q. Calculate the remainder when w is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 + -671128.\nAnswer: -671091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*m = -16*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 557050446 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-207)*16\/20*(-2)\/32?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 3*w - 1274 + 329, 4*w - 3*g - 1265 = 0. Calculate the least common multiple of w and 14.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1737 (b) -5 (c) 0.5 (d) 5 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -303*o*w**3 + 2*o*w**2 - 2*o*w - 196384*o - 6*w wrt w?\nAnswer: -909*o*w**2 + 4*o*w - 2*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.22 - 1.58. Let a = -1.8000009 - n. Round a to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-328)\/(-60) - (-2)\/(-3)) + -5. Sort 4, r, 0.3, -0.7 in descending order.\nAnswer: 4, 0.3, r, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 3*w + 4. Let m(x) = -4*x + 17. Let a(h) = 20*h - 91. Let g(v) = 2*a(v) + 11*m(v). Determine -3*g(n) + 4*j(n).\nAnswer: -4*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - 18b3?\nAnswer: -18b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1957293 and -77\/4349540?\nAnswer: 39145860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002329 rounded to 5 dps?\nAnswer: 0.00233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 24*t - 5. Let b be p(-24). Let n be b*((-1)\/5 + 1). Put n, -3, 3, 7 in descending order.\nAnswer: 7, 3, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3186357 is divided by 954?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3 = -9. Suppose v*p = 2, -2*j = p + 4*p - 69. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96908570 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 165 + -104. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 - 8 = j. Let x = 14 + -22. What is the units digit of j\/(-6)*x\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6605?\nAnswer: 5, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4*c - c**2)*(1 - 1 + c**2) - 7*c**4 + 7*c**4 + 13*c**4.\nAnswer: 12*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*y**2 + 0*y**2 - 11*y**2 - 2*y**2 to k*y + q + g*y**2 and give g.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3394, -3896, -4398, -4900, -5402, -5904?\n\"Answer: -502*u - 2892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22 - -180ab5?\nAnswer: 180ad7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-24)\/(-10) - 8\/20. Let w be d*(21\/10 - 2). What is the nearest to 0.1 in -2\/9, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(87\/66 - 20\/(-110))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -7612, -4\/33, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(0 + 5 + -6). Solve a*i = -0 - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15\/25 + ((-83936)\/(-10))\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1226476 - -120?\nAnswer: -1226356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 24 = x, -3*x - x = 0. Let w(f) = -5*f - 13 - 3*f + b*f + 3*f. Determine w(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.5, -166, -55?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 - 81 - 15*a - 83.\nAnswer: -15*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 0 (b) -1\/7 (c) 0.2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 f when three letters picked without replacement from {x: 3, f: 11}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of -5*v**4 - 5*v**3 + 40*v**2 + 60*v + 420. Factor c(u).\nAnswer: -5*(u - 2)*(u + 2)*(4*u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 8 + 420*u - 406*u + 0 + 1 - u**3 - 11*u**4 to k*u**3 + q + s*u**2 + p*u + n*u**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 66*u + 2012. What is l(-31)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 - (10 - 14). Let n(r) = 4*r**2 - 3*r + 12. Does 13 divide n(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 117\/4942 and 33.\nAnswer: 4942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -6 + 10 - 8 + k. Let y be c(13). What is the hundreds digit of 141 - (-1)\/(3 + (-24)\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*2\/8)\/(12\/(-32))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 399 and 1460739.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -5. Let a = q - -2. What is the tens digit of -23*(1 - a) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36652 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 104*o - 4107. Determine q(40).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/52064005?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(325) - sqrt(325)*-3 - sqrt(325)))**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 117\/4, 0.2 in ascending order.\nAnswer: -3, 0.2, 3, 117\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*y + 19*y + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 r when four letters picked without replacement from xoxorxrroxxxrxrxo.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 1 + 0*v**5 + 0*v + 3\/2*v**2 - 1\/2*v**6 + 0*v**3 + 0*v**4. Find the second derivative of z(u) wrt u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215 and 10638845?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + -2.56. Let h = -12.5 - a. Let m = -10.0036 - h. What is m rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 413\/153803?\nAnswer: 413\/153803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + x**2 + x + 1. Let g(s) = -5*s**3 - 5*s**2 - 5*s. Determine 5*b(z) + g(z).\nAnswer: -10*z**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33410 - -39808. What is the greatest common divisor of 70 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1519\/5 + -3013\/10. Let m(r) be the first derivative of -h*r**2 + 0*r - 1\/4*r**4 - 14 + 7\/3*r**3. What is m(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iig when three letters picked without replacement from {i: 6, g: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -9*t**3 - 19*t**2 - 67*t - 24. Let d(j) = -5*j**3 - 9*j**2 - 35*j - 14. Let n(z) = 4*c(z) - 7*d(z). Give n(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 527 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**3 + 5*h**2 + 16*h + 25. Let u(x) = -2*x**3 + 2*x**2 + 8*x + 12. Let v(b) = 4*m(b) - 9*u(b). Let v(w) = 0. Calculate w.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 15217995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-33) + -8*480\/143616.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1015496994?\nAnswer: 2, 3, 11057, 15307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 5 (c) 2 (d) -132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -39.00000051. Round o to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3551203 - 4?\nAnswer: 3551155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 10*r - 21. Let w be s(6). Suppose 13 = w*f + f + k, -k = -3*f + 1. Differentiate f*l**2 - 2 - 8*l**2 - 5*l**2 - 5 wrt l.\nAnswer: -22*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1476.43 and -0.1.\nAnswer: 1476.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.053 or 0?\nAnswer: -0.053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(125)*-2 + (-2*sqrt(80) - (sqrt(20)*1 + sqrt(5) - sqrt(5))).\nAnswer: -70*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 - 4*r**4 + 5*r**4 + (0 - r**3 + 0)*(-2*r + 3*r - 3*r) + 2 + 26*r**4 + 56591*r**3 - 56591*r**3.\nAnswer: 29*r**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3*y**3 - 5*y**2 + 5. Let n(i) be the third derivative of 0 + 1\/15*i**5 + 1\/60*i**6 + 0*i**4 - 2\/3*i**3 + 0*i - i**2. Give -4*d(o) - 5*n(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 139 - 31. Let d = -108.59 + n. Let g = d + 0.5. Round g to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/sqrt(96) + sqrt(9)\/sqrt(12).\nAnswer: 3*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1 - 1 - u**2. Let r(f) = 7*f**2 - 5. Let a(k) = -4*k**2 + 3. Let b(m) = 10*a(m) + 6*r(m). Calculate b(g(c)).\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 5*q**2 - 3*q**2)*(-2 + q + 2 + (-3*q + q + 0*q)*(0 - 1 + 3) - 3*q + 5*q - 3*q + 4*q + q - 6*q).\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 3*q**3 - 3*q**3 - 1 + 0 + 2 + q**2. Let i(k) = 6*k**3 - 4*k**2 - 3. Let h = 1 - -1. Let m(d) = h*i(d) + 7*a(d). Give m(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304699742 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l - 1 - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2883950041.\nAnswer: 7, 499, 825637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -327.621 and 0.5.\nAnswer: -163.8105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - 3) + ((-10972)\/(-156) - 55)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 63 - 49 = 0. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12604759 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 2*l. Suppose 1 = 5*m - 9. Let y(b) = -2*b**m + b**2 + 5*b**2 - 3*b**2. Determine y(g(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -87114.762 to the nearest 10.\nAnswer: -87110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 14. Let h be y(0). Is h\/(-84) - (-2372)\/24 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*i**3 + 271*i**3 - 552*i**3.\nAnswer: -213*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*g - 222*g + 377*g + 2.\nAnswer: 6*g + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81949, -81953, -81959, -81967?\nAnswer: -81977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -19*v + 78. Solve -v = 15*h - 35 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -582, -727, -1104, -1827, -3010, -4767, -7212, -10459?\n\"Answer: -19*d**3 - 2*d**2 - 6*d - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 2257483 to the power of 1\/3, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**3 - 1 + 0*j**3 + 7*j**3 - 25*j**3 - 1 + 17*j**3.\nAnswer: 42*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 - -1331132?\nAnswer: 1331111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 1:19 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -29*n**3\/6 - n**2\/2 - 33*n - 20. Let f(h) be the first derivative of j(h). Differentiate f(x) with respect to x.\nAnswer: -29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1229834, 1229796, 1229756, 1229714, 1229670, 1229624, 1229576?\n\"Answer: -h**2 - 35*h + 1229870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1678 is divided by 117?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-2)\/(-2)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*p - 8 = -0, -4*x + p = -4. Suppose 5*z - 18 = x*i, 2*z - 13 = -5*i - 29. Solve -o - 1 + 4 = 0, 4*w - 10 = -z*o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8286723 and 16833.\nAnswer: 256888413","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g - 3. Let x be k(-9). Let m be (-2)\/(-2) + (x - 4). Solve 1 + m = -2*d + 2*q, -6 = -4*d - 3*q for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**4\/3 - 186*s**3 + 1108*s**2\/3 = 0. What is s?\nAnswer: 0, 2, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1448 + -1452. Let i be 4 - (3 - 1)\/(-2). What are the prime factors of (-2 + i + a)*-101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 10*n**3 + 12*n - 10. Suppose -5*m = -10*m - 5. Suppose 3*y - 4 = 5. Let d(q) = 0*q**3 + q - 2*q - q**y + 1. What is m*b(r) - 12*d(r)?\nAnswer: 2*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 2 = -19*s + 3*k, -6 = 3*s - 3*k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -52 - 21 - 1171*b**2 + 75 - 2*b in the form x*b + r*b**2 + p and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 + 2*n**2 - 2*n + 1. Let t be d(1). Let g be t\/(-3)*(-1)\/(-4). Which is the smallest value? (a) -3 (b) g (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5762 = 2*t + 34002. Let o = t - -41782. What is o rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ko when two letters picked without replacement from {o: 2, e: 2, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + 2*y + 0*y)*(3 - 2 - 4)*(-8375 + 1215*y**2 + 8375) in the form s*y**3 + b*y + a + j*y**2 and give s.\nAnswer: -3645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -13*g*q*r**3 + 22*g*r**2 - q*r**3 + 701 wrt g?\nAnswer: -13*q*r**3 + 22*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 1 - (-14 + 37 + (-21 - -8))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekyyskykehmkkeky. Give prob of sequence ksey.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 0.3633854 days?\nAnswer: 8.7212496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8\/5, 0.1811, 4\/7, 2?\nAnswer: 0.1811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q + g, -3*q + 2*g = -5 - 3. Sort 1, q, 2 in descending order.\nAnswer: 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -54, -95, -138, -183, -230, -279?\nAnswer: -330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u + 0*u - 2*u)*(1021*u + 1847*u - 11163*u - 13523*u) to z*u**2 + j + r*u and give z.\nAnswer: -65454","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20860692 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -91, -103, -69, 11, 137?\nAnswer: 309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -g + 327, -1 = 3*f + 2. Let b be 12\/42 + g\/14. What is the highest common factor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*q = -189, -808 = -2*n - 2*n + 5*q. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (67\/22 - 3)*(7 - (-159)\/(-21))?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2367\/(-34716))\/(6\/(-16))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 14.05972 and 1083156930.\nAnswer: 1083156944.05972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2, -2, 419146?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -103665590873 + -1.5?\nAnswer: -103665590874.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/6)\/(20\/6)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*n**2 - 15 + 15)*(2 - 2 - 2*n) + 14*n**3 + 41*n**3 + 18*n**3.\nAnswer: 61*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.96 + 4.5. Let c = -46.46 - q. Let m = c - -42. Is m greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 9*i - 13. Let p(k) = -17*k + 27. Let b(u) = -3*p(u) - 7*v(u). Let n be b(-8). Suppose -w - w = -n. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2 + (-1 - 1 + 3)*(-13 - 14 + 2))*(-2*y + 1 - y**2 + 2*y).\nAnswer: 23*y**2 - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 155?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7915 + 10823 = -694*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0*y**3 - 2*y**2 - 2*y**3 - y**2. Let h be w(-4). Let r = h - 51. What is the remainder when r is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*n = -3*z - 15, -5*z = -2*n + 16. What is the closest to 0.4 in z, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -1 + 1 + 5*m. Let r(c) = 2*c**2 + 49*c + 26. Let k be r(-24). Let y(b) = 209*b**2 - 102*b**k - 108*b**2. Give y(p(x)).\nAnswer: -25*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1287305.\nAnswer: 5, 79, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 138499096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 666228?\nAnswer: 2, 3, 59, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8216 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -13*h**3 + 9*h**2 - 4*h + 8. Let g(p) = p**3 - p**2 - p + 2. Calculate 3*g(j) - l(j).\nAnswer: 16*j**3 - 12*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -17*i + 107, 3*o + 2173*i = 2174*i - 45 for o.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, and 1 w when three letters picked without replacement from {p: 2, n: 2, l: 4, w: 4, f: 2}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) - -2*sqrt(180))\/(sqrt(9) + (sqrt(1296) - (sqrt(1296) + sqrt(1296)*-1))).\nAnswer: 5*sqrt(5)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c9 - 1?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3162062055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 56 + 98. Is (3241\/(-49) - -5)*o a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1908\/73458)\/(1*(-1)\/(-84))\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 - 20*x - 4. Determine l(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 11:22 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 252370860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16\/20240883 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-20)\/30 - (-890)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/14639 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21305116 is divided by 111?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 127 = -5*z - l, 0 = -3*z - 3*l + 93. Find the first derivative of t + z - 3 - 8 wrt t.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62\/8 + 4\/16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bi when two letters picked without replacement from {i: 3, b: 6, v: 4}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 7, 14, 3, 2 in ascending order.\nAnswer: -14, 2, 3, 7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 9*r - 30. Let u be f(-4). Let a be (273\/42)\/(1 + u\/68). What is the highest common divisor of 17 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of z**5\/160 - z**4\/96 - 6*z - 1. Solve t(m) = 0 for m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*z = 43*z - 187. What are the prime factors of z?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**5\/20 - 5*b**4\/6 - b**3\/2 + b**2 - 15*b. Is o(11) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318496779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16980 and 14034.\nAnswer: 39716220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + f)*(19 - 14 + 8) - 3*f + 0*f + 4*f to the form c*f + l and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -27622 - 0.21\nAnswer: -27622.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 80\/60 + ((-8)\/(-6))\/2. Suppose 3*s = 0, -2*b + 3*s + 19 = -1. What is the highest common factor of v and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -231\/4 - -117\/2. Which is the fourth smallest value? (a) -0.5 (b) h (c) 0.02 (d) 1\/24 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-8)*14\/1. Let p(g) = -3*g - 21. Let m be p(q). Solve -i = -m*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144388312*-0.3\nAnswer: -43316493.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Suppose r*n = -0*n - 180. Does 14 divide 4 - (1 + 0) - n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) -8.9665 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t, -5 + 0 = 5*l - 3*t. Let b(a) = -5 - 2 + 3 - 4 + l*a**2 + 6. Let m(p) be the second derivative of -p**4\/12 - 2*p. Determine b(m(w)).\nAnswer: 2*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 955 = -k - 963, 38 = -4*s - 6*k for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 4, 23\/1414?\nAnswer: 23\/1414","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -3, -0.3, -78, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3)*v)\/((v\/v**(1\/10)*v)\/v))\/((v*v**11\/v)\/(((v\/(v*v*v**1\/v*v))\/v)\/v)))**(26\/3) assuming v is positive.\nAnswer: v**(-2327\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60\/9*3\/(-2). Suppose 0 = -44*g + 77 - 77. Sort -1, -2, x, g in descending order.\nAnswer: g, -1, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -100*h**2 + 386*h - 386. Give k(1).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/3)\/((w**(-1\/5)*w)\/w*w))**(10\/9) assuming w is positive.\nAnswer: w**(26\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:02 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6630*p - 6633*p - 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:35 PM and 11:39 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -200 (base 10) in base 4?\nAnswer: -3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + 11. What is the remainder when 77 is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 33 = -2*x, -2*g - 5*x = 3*g - 5. Let b(r) = -r**3 - 2*r**2 - 3*r - 3. Let o be b(-2). Sort 1, g, o.\nAnswer: 1, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhgh when four letters picked without replacement from hhzzzfgzghhf.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 204521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.3 + 35. Let n = -24946 + 24943.6994. Let z = d - n. What is z rounded to 3 dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**5 - 1146*y**4 + 150618*y**3 - 7377048*y**2 + 75569355*y - 122817222 = 0.\nAnswer: 2, 11, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100047 + -269?\nAnswer: -100305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 321, -3, 11739, 0 in increasing order.\nAnswer: -3, 0, 321, 11739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11102301201 + -2?\nAnswer: -11102301203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16457304 (base 9) in base 10?\nAnswer: 8245966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/18*(-4)\/21 - 269780\/4230?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59594, 119155, 178676, 238151, 297574, 356939, 416240?\n\"Answer: -d**3 - 14*d**2 + 59610*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/5161, -7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -900 + 903. Is (1 + 84344\/y)\/(7\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 0*a**4 + 1\/36*a**6 + 15 - 1\/15*a**5 + 1\/9*a**3 + 0*a - 1\/12*a**2. Factor v(c).\nAnswer: c*(c - 1)**3*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1298*x - x**3 - 2422*x + 4*x**3 + 1124*x.\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from {w: 7, k: 5, d: 1, a: 3, p: 2, j: 2}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -250*v - 19. Is n(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/221283, 0.094 in ascending order.\nAnswer: -3, 2\/221283, 0.094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 v when three letters picked without replacement from {h: 1, x: 2, v: 1, p: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -22 + 39 - 28 - 24*c. What are the prime factors of v(-31)?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21133 + 46053. Suppose 0 = -3*c + c - s. Round c to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4000 (base 5) to base 9\nAnswer: -615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3791, 4051, 4735, 6053, 8215, 11431, 15911, 21865?\nAnswer: 29503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**4 - 5*n**3\/3 + 7*n - 95. Let j(g) = 2*g**3 + 3*g**2 - 4. Determine -3*h(p) - 5*j(p).\nAnswer: 2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/1*((-7)\/(-2))\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3 - 184*a**2 - 2062*a + 2244.\nAnswer: 2*(a - 102)*(a - 1)*(a + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/8526 and -68\/7742217?\nAnswer: 108391038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 414.6 <= -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 170579572 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 - 120. What is the nearest to -1 in 2\/11, f, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*h + 228 = 111*h. Let l(s) = s - 25. Let o be l(h). Solve 5*j + 19 = v, -2 - o = 5*j - 5*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1369*s - 3*j = 1371*s - 3, 5*j + 11 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 4*a = 2 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8a (base 12) to base 5.\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 21.27311059911 and 0.1.\nAnswer: 21.37311059911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 1, -3, 11, -380 in decreasing order.\nAnswer: 11, 3, 1, 0, -3, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**4 + 9475*o**3 - 82591*o**2 - 21240*o = 0 for o.\nAnswer: -1\/4, 0, 9, 2360","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -5*c**3\/6 + 8*c**2 + 2*c + 10. Let y(k) = 95*k - 659. Let u be y(7). Let i(q) = -q + 3. What is u*v(h) - 33*i(h)?\nAnswer: 3*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1963*r**2 + 720372 + 1220*r**2 - 360186 - 360186.\nAnswer: 3183*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/38*393\/(-5895)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 642 is divided by 165.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**3 - 4*o**2 + 4*o - 4. Let u be 8*3\/6*-1. Suppose z + 4*z - 5 = 0. Let m(n) = n**2 + n**3 - 2*n**3 + z + 0*n**3 - n. What is u*m(t) - q(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*q**5\/9 - 436*q**4\/9 - 1598*q**3\/9 - 364*q**2\/9 + 2008*q\/9 + 368\/9 = 0. What is q?\nAnswer: -2, -2\/11, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 467*t - 1855. Determine h(-462).\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 308.4 + -310. Let y = 1.7 - 1.8. Is y greater than or equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -794, -800, -810, -824, -842, -864, -890?\nAnswer: -920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18 times -5.1?\nAnswer: 0.918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 11*t - 91. Let q(n) = -11*n + 88. Let h(c) = 9*p(c) + 8*q(c). Determine h(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 54\/7 and -59\/335.\nAnswer: 2345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4.8991 + -0.8991. Let x = 56 - 172\/3. Which is the third smallest value? (a) x (b) -4\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14.64 - -15. Let t = -2.36 + g. Let n = 0.4 - 0. Which is the nearest to 0? (a) n (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + 3*s - s)*(-15 - 33 - 19 - 32).\nAnswer: -297*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -12, 72\/11, 95, -2?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 530, 1155, 1996, 3035, 4254, 5635?\nAnswer: 7160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.1+-683\nAnswer: -681.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 515.7245ug in grams?\nAnswer: 0.0005157245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1620852 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 9*g + 20*g**2 - 10 - 7*g - 4*g**2 + 2*g. Let c be h(15). Suppose 0 = 5*s - 4*t - 36, c*s - s + t - 12 = 0. Solve -s*z = z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 4:21 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -86, -2.8868, 0.4?\nAnswer: -2.8868","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3340)\/(-38) - 2\/(-19). What is the greatest common divisor of 176 and d?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 32 = -338. Let h(a) = -a + 7. Let i be h(5). Calculate the remainder when (2\/4)\/(i\/112) is divided by u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - 23*y. Let g be n(10). Suppose 5*w = -80 + g. Which is bigger: w or -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + w - 4*w)*(0*w**3 + 0*w**3 - w**3) - w**4 + 0 + 0 - 11203 + 1905*w**4 + 11203.\nAnswer: 1903*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 25668887*d - 2 - 3.\nAnswer: 25668887*d - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000126632335 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x + x - 102. Let z = x + -35. Let q(y) = -y**2 - 4*y. Let k be q(-3). Sort -2, k, z in descending order.\nAnswer: k, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 12:48 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 - -144.901. Let n = -0.098827 - g. What is n rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 852378382.\nAnswer: 4261891910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2900 + -3089. Sort 2, 1, b in descending order.\nAnswer: 2, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74 = -7*w + 53. Let a(d) = -118*d + 14. Is 41 a factor of a(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 8*n - 8. Let q be w(-7). Let d be ((-8)\/(-24))\/(q\/(-12)). Suppose -66809 = d*p + 81191. Round p to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 449, 481, 513, 545, 577?\nAnswer: 609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (50\/(-9900))\/((-11)\/(-594))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*r**3 + 1939*r + 12810 wrt r?\nAnswer: 6*r**2 + 1939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f - 4. Let t(u) = 5*u + 5. Let w(a) = -6*q(a) - 5*t(a). Suppose -7*x - 6*x = 13. Let r(v) = 3*v. What is x*r(j) - w(j)?\nAnswer: -2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -2*h - h, -h + 4 = 0. Let t be (5\/(15\/(-6)))\/(-1). Suppose 7 - t = s. Put -2, f, s in ascending order.\nAnswer: -2, f, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 38*k**2. Let n(d) = d**2. Calculate w(n(a)).\nAnswer: 38*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-24 - (0 - -7 - 16)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*l**2 - 39*l**3 + 177*l**2.\nAnswer: -39*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (-17)\/((-935)\/(-610)).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s\/((s*(s*s\/((s**(-4)*s)\/s))\/s*s)\/s*s*s)))\/s*s*s)**(-38)\/(s*s*s\/(s**(-7\/4)*s))**(2\/57))**10 assuming s is positive.\nAnswer: s**(-57785\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 1, o: 1, u: 1, f: 1}. What is prob of picking 1 o and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 s when four letters picked without replacement from {s: 10, f: 2, e: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*g**2*l**3 + 12*g**2*l**2 - 101*g**2*l + 6*g + 167*l**3 - 6*l**2 wrt l.\nAnswer: 132*g**2 + 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -132 - 207. Let c be b\/(-2684) + 2\/(-8). Let v = 2\/61 + c. What is the closest to 2 in 2, 0.2, v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1120 and -33\/1855.\nAnswer: 59360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 19 (b) 1149.39 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.4, 6, -3\/3964, -2\/7 in descending order.\nAnswer: 6, 4, 0.4, -3\/3964, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 + -39738911?\nAnswer: -39738917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aiuiiixiu. What is prob of sequence auxa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -4512?\nAnswer: 4504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/2)\/((-15)\/(-2) + -7). Let z(x) = -2*x**2 - 33*x + 25. Is 7 a factor of z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from abaneabaxnbanb. Give prob of sequence anbn.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:41 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47307 divided by 3.\nAnswer: 15769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -393, -394, -395, -396?\nAnswer: -397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3114?\nAnswer: 2, 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8729363 times -0.5?\nAnswer: 4364681.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 11\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23602 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (((13095\/24)\/5)\/(846\/376))\/(2\/2)\nAnswer: 97\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*h*q*s - 5*h*s**3 + 15*h - 8*q*s**3 - q - 9*s**3 + 5*s wrt h.\nAnswer: -19*q*s - 5*s**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*m - 0*m + 234. Let j(f) = -f**3 - f**2 - f + 65. Let b be j(0). Calculate the greatest common divisor of b and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36386?\nAnswer: 2, 7, 23, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (28\/7)\/20*(-45)\/(-12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 199, 1\/4, 2, -4\/3 in increasing order.\nAnswer: -4\/3, 1\/4, 2, 5, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-3\/4)\/(q\/((q\/(q\/q**8))\/q)) assuming q is positive.\nAnswer: q**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(((x*x**7)\/x*x)\/x*x)))\/((x*x**(-2))\/x))**19\/(x**8\/(x\/x**2))**0 assuming x is positive.\nAnswer: x**190","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwdwhwwwwwwwhdwwwd. What is prob of sequence dwd?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 + -10. Suppose 0 = 4*t + 4*o - w, -3*t + 5*o = -3 + 6. Solve 27 = -t*b + 11 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x - 169*x. Let t(j) be the second derivative of x*j**2 + 17*j + 0 + 7\/3*j**3 - 5\/6*j**4. Find the second derivative of t(q) wrt q.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4069\/12 + -1018\/3. What is the fifth biggest value in -11, 4, 19, z, 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 11752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 4*w + 8. Let d be b(-6). Let p(n) = n**2 - 3*n - 3. Let x be p(-3). Let v be (-1 - 9\/x)*-25. Calculate the highest common divisor of d and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -1\/192, -3, -1, 2\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m - 24 = -77*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(153) + 2)**2.\nAnswer: -471 - 36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4385971g in tonnes?\nAnswer: 0.0000004385971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*n - 142 + 10 = 0, -3*c = -4*n + 102. Let x = c + 44. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 107124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -576*i**2 - 6*i + 16. Let z be l(12). Round z to the nearest 1000.\nAnswer: -83000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -941*r. Let t(k) = 17*k + 20*k + 20*k - 69*k + 10*k. What is t(w(c))?\nAnswer: 1882*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18594309*h - 310323214 wrt h.\nAnswer: 18594309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -15, 3*b + b + 20 = 2*a. Suppose 10 = -a*j + h - 9, 4*h = -20. What is the second biggest value in j, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-21*18\/15*55\/(-154).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3835 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*t**2 - 4 + 111*t**2 + 12 as l*t + u + o*t**2 and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 1 = -5*z + 43, 5*n - 123 = 4*z. Which is greater: n or 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2\/15, 0.3, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b + 8*b - 6864 = 0. Factor 35*l**2 + 7 + 55*l + b*l**3 + 18 - 307*l**3.\nAnswer: 5*(l + 1)**2*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5802367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l - 4*l + 6*l + 3022315*l**2.\nAnswer: 3022315*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, -0.3, 0.4 in descending order.\nAnswer: 0.4, -0.3, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 o when two letters picked without replacement from tjjajao?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6\/7)*s*s)\/s**(5\/2) assuming s is positive.\nAnswer: s**(-19\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2377 or -51?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, 39\/7, 1, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = m + 4*m + 20, 8 = -5*q - 2*m. What are the prime factors of 102 + (5 + q)\/(-5)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -5, -2\/15, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4674 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -7*a**3 - 2*a**2 + 3*a - 2. Give i(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 5*k - 1880 = 0, 2585 = 3*q - k + 729. Calculate the remainder when q is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/2 - 118\/120. Let c(h) be the third derivative of -m*h**5 - 2*h**2 + 0*h - 1\/300*h**6 + 1\/210*h**7 + 1\/60*h**4 + 0*h**3 + 0. Solve c(z) = 0 for z.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 1076 = 3*a - 1024, k - 12 = a for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.051 and -61?\nAnswer: 60.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/(-10))\/(117\/(-45) - -3). Is m > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 2:13 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2862, 11257, 25192, 44667, 69682, 100237, 136332?\n\"Answer: 2770*a**2 + 85*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 48017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**3 + 31*m**2 + 10*m + 19. Give c(-15).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -44, -59, -72, -83, -92?\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*n + j, j = -3*j + 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3*w - 4718 = -4715, -j - 5*w - 7 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 497594 is divided by 98.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 723932682 by -1518.\nAnswer: -476899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**3 - 2*s**2 - 2*s - 1. Suppose -3*b = -0 - 15. Let f be -4*b*20\/(-50). Suppose 2*k - 6*k - f = 0. Calculate h(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 1464 = -3*y + 7*q, 0 = 5*y - 4*q - 2442. What is the highest common divisor of 1836 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 3. Let v(n) = n + 0 + 0*n + 2. Suppose -166*q = -114 - 222 - 162. Give q*v(o) - 2*l(o).\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3684 to two dps.\nAnswer: -5.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + sqrt(700) + 1 - sqrt(700)) + sqrt(700) - sqrt(700))**2 + -3 + -3 + (sqrt(35)\/(-2*sqrt(720) + sqrt(720) + sqrt(720) + sqrt(5))*5)**2.\nAnswer: 20*sqrt(7) + 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3924790*m + 3924790*m - 34*m**3.\nAnswer: -34*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -1\/2*k**2 + 2*k + 1\/6*k**3 + 0. Suppose -2 - 1 = -3*j. Calculate c(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 632, 647, 666, 689, 716?\n\"Answer: 2*m**2 + 9*m + 621","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 5*m + 3. Let o(r) = 2*r + 1. Give 4*i(u) - 11*o(u).\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = 20. Let d = y + -11. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34326\/77 + 4910\/11. Factor -s*c**2 + 24\/7*c - 32\/7.\nAnswer: -4*(c - 4)*(c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-30)\/(-26) - -1). Let a = -7988 - -7987.8. What is the nearest to c in 5, a, -5\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 17*z**2 + 5*z. Let v(s) = 58*s**2 + 16*s. Let l(g) = 16*d(g) - 5*v(g). Let j(w) = -4*w. Give l(j(i)).\nAnswer: -288*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-3\/4)\/l)\/l)*l)\/l)**(-4) assuming l is positive.\nAnswer: l**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -6448?\nAnswer: 6445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 4*p - 12. Let b = p + 24. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10468\/(-56) + (-3)\/(-7))*-10. Let u = x - 3641\/2. Is 46 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d = -10. Suppose 3*b - d*n + 119 = 0, -n + 3*n - 116 = 3*b. Let w = b - -65. Does 9 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 4*o**3 + 21*o**2 + 114*o + 537. Determine m(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**4\/12 + 5*g**2 + 31. Let y(a) be the second derivative of l(a). Let p(s) = 96*s. Determine y(p(r)).\nAnswer: -192*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + 4 - 4) + -34. Let a = -5 - d. What is the highest common divisor of a and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -3829?\nAnswer: -3829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -5*p**2 - 2*p - 1. Let m(l) = 6*l**2 + 2*l + 2. Suppose -3*q - 15 + 3 = 0. Give q*s(u) - 3*m(u).\nAnswer: 2*u**2 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-2988))\/((-12)\/(-21921)). Let r = h - -1\/1328. Which is greater: -1 or r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**2 + 2*i**3 - 18*i**4 - 6 - 2*i**4 + 19*i**4 - i - 4*i**2 to d*i**4 + r*i + a*i**3 + h + m*i**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(((-6)\/4)\/(3\/4)). Suppose 4*k - t + 3*t + 1650 = a, 5*k - 4*t + 2069 = 0. Which is greater: k or -414?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -1452*q + 8714. Let r be b(6). Let u(d) be the third derivative of -34*d**r + 7\/6*d**3 - 1\/60*d**5 + 0*d + 5\/24*d**4 + 0. Determine u(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-2 + 0*b + 4*b - 20*b).\nAnswer: -32*b - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 5. Give v(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + sqrt(11) + 2)**2*-5 - 3*(1*sqrt(176))**2*5.\nAnswer: -2742 - 30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 6:46 PM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*i - 527 = 209 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -24585, -49171, -73759, -98349, -122941?\n\"Answer: -r**2 - 24583*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 244736782?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 924733 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -12356, -6, 0.3, -0.5 in ascending order.\nAnswer: -12356, -6, -8\/5, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by 195\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1841618.\nAnswer: 2, 229, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 23*m - 22*m - 5*s, -4*s = 4*m - 12. Suppose -2 = o + 3*o + 2*a, 5*a = -m*o - 10. Solve v - 2*b - 20 = -3*v, 3*v + 2*b = o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*r + 8, -2*r + 6*r = -5*u - 10. Let m be (r - (-1 - -3))\/(-4). Factor -m*g + 3\/4*g**3 + 0 + 1\/4*g**2.\nAnswer: g*(g + 1)*(3*g - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 554 + -1639\/3. Let p = -533 - -1613\/3. Find the common denominator of b and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4 = 2*r. Let k(w) = 7*w**2 - w. Calculate the remainder when k(r) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**4\/2 + 7*x**3\/3 - 39*x**2\/2 + 2*x - 246. What is the second derivative of v(i) wrt i?\nAnswer: -12*i + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/8*((-24)\/45)\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20641?\nAnswer: 20641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -94 + 413. Let x = 319.00000039 - v. Round x to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/19448 and -37\/9.\nAnswer: 175032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 4. Let j be (-2)\/4*2 + 6. Let w = j + b. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -438*g - 7437 = -50*g - 187*g for g.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m = 111 - 111.6. What is the smallest value in -2\/3, 1\/8, m, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 7 = -23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uvusozgv. What is prob of picking 1 s and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 36 - 20 = 0. Let x(n) = -8*n + 18. What is the remainder when x(0) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.439171105 to 1 decimal place.\nAnswer: 5.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from pzzppuupp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12792.\nAnswer: 2, 3, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) -0.34 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2973522 - 8*f**3 - 245*f**2 + 128*f**2 + 2973522.\nAnswer: -8*f**3 - 117*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8639 is divided by 463.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**3 + 8*o**2 - 6*o - 7. Let u be i(-5). Suppose 7*z - 561 = -10*z. Let d = u + z. Calculate the greatest common divisor of d and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.972854 months in millennia?\nAnswer: 0.0004144045","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.249 times -5?\nAnswer: 1.245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 53? (a) -5 (b) 4\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-121)\/(-6) + 7\/(-42). Solve 5*l = l - f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*t**3 + 0 - 51*t**3 + 87*t**3 + 0.\nAnswer: -9*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 4, -4*h = -2*g - 9*h. Solve t + 0 = -g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0212897936 to three dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 2*d + 7. Suppose -65 = 17*y - 30*y. Suppose -9 - y = -d*p. Solve b + 5 = 2*q, 5*b = -q + p*q + 20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016002552 rounded to seven decimal places?\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383130224 - -4?\nAnswer: 1383130228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n. Let s be q(0). Let p = s - -2. Suppose -4*k = y + 14, -22 = -y - y + 2*k. Solve -y = -4*v + p*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4500\/13 + -346. Let v be (-10)\/(-3)*(-36)\/16. Let c = 7 + v. What is the smallest value in s, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 + 138996*d\/5 - 2414986002\/5.\nAnswer: -2*(d - 34749)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-649)\/(-1239))\/(18\/(-54)).\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/5 + 151*k**3\/5 + 4968*k**2\/5 - 11264*k + 10240.\nAnswer: (k - 8)*(k - 1)*(k + 80)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3\/5 + 1732*n**2\/5 + 248444*n\/5 + 11816252\/5.\nAnswer: 4*(n + 133)**2*(n + 167)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2 = -1. Let k be 2 + 3 + -3 + -7. Let i = 0.3 + 0.2. Which is the nearest to -0.2? (a) k (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24784*p**4 + p**2 + 20726?\nAnswer: 99136*p**3 + 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*r**3 + 2\/9 - 22\/9*r**2 + 8\/9*r.\nAnswer: 2*(r - 1)**2*(6*r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 52 = -3*q, 4*g + 28 = -2*q + 4*q. Suppose 0*c - 3*c + 3*b = -3, -4*b = -q. Calculate the least common multiple of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13794 by 3.\nAnswer: 4598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 at most 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 9*d + 1. Let w(j) = -j**2 + 8*j + 3. Let s(z) = 4*a(z) - 5*w(z). Let o be s(7). Solve 6*i = 4*i + o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*c - 92 + 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/3 + 6969766*t**2 + 41818578*t + 62727858.\nAnswer: 2*(t + 3)**2*(t + 10454643)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = -4, 2*h + 5*p + 1 = 0. Which is bigger: h or 5\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z*z\/z**(-27\/7)*z\/((z**2*z)\/z)*z*z**27*z**(-3\/10) assuming z is positive.\nAnswer: z**(2279\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 49. Determine f(17).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Let f(s) be the second derivative of 14*s + 1\/12*s**4 - s**3 + 2*s**2 + 0. Determine f(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + 145*1\/1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0*p - 4 + 0*p + p. Let u be (-13)\/((-52)\/24) + (-3 - -2). Calculate j(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4946*f**2 - 114*f + 431. Is t(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - u = z + 16, -4*z - 4*u + 56 = 0. Suppose 4*r - r = -4*g + 67, 83 = 2*r - 5*g. What is the remainder when r is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.2 - -49. Let l be (-3 + 18\/4)\/(-3). What is the closest to l in -0.1, 13, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*x - 50, -3*h - 5*x - 1 = -92. Let r be 36\/h*6\/(-28). Sort -3, -2\/3, r.\nAnswer: -3, -2\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03961007 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of s**5\/360 - 5*s**4\/36 + 25*s**3\/9 + 69*s**2. Let c(d) = 0. Calculate d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-23)\/(3 - (-935)\/(-310)). Let l = q + -14209\/10. Calculate the common denominator of l and -18\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/3 + 33504590*m\/3 + 22336396.\nAnswer: -2*(m - 16752297)*(m + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25378456 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: Factor -7*j**3 + 79*j**2 - 92*j + 20.\nAnswer: -(j - 10)*(j - 1)*(7*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 225 = 16*r - 11*r. Solve -5*f = -5*j - 10*f - r, -2*f = 4*j + 28 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14918*k + 5*u - 43 = -14919*k, -7*k - 4*u = -22 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 2038380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57210749 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2, -5, -492, 2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-9.6.\nAnswer: -57.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u - 5. Let w(x) = -x. Determine d(a) + 2*w(a).\nAnswer: 2*a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m + m + 3*m - 7. Is o(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68522976 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*r - 245*r = -217. Which is greater: r or -3\/2680?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + v + (4*v - 4*v - v)*(1 - 2 + 3) - 2*v + v + 2*v + (-1 + 1 - 2*v)*(2 - 2 + 1) + 5*v - 5*v + v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 75240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:56 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 1, 2\/5, -5, -0.5 in decreasing order.\nAnswer: 1, 2\/5, 0.3, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*w - 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1575 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: Factor -r**2\/3 - 10*r - 27.\nAnswer: -(r + 3)*(r + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4960*m - 4956*m - 3*y + 17 = 0, 3*m + 5*y = -20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -231\nAnswer: -1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -2\/985523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 93564090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121 + -100210002?\nAnswer: -100122111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-3)\/6 - -63. Suppose 9*g = 6*g + 6. Suppose -23 = g*m - t. Is 12 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4170162.\nAnswer: 2, 3, 811, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -0*x + x. Suppose t + 5 = -4*t, -4*t = -x*j + 18. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - -3. Suppose -10 = -3*x - u*m, 2*x + 10 = 6*x + 5*m. Let q(w) = -3*w + x*w + w. Let p(t) = 2*t**2. What is q(p(j))?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1639241 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 382*p - 409*p. Solve y + 17 - 18 = p for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -203*l**2 + 749*l - 779*l - 73 + 202*l**2. Give z(-24).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 20 = -2*s + 16, -60*t - 120 = 3*s for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -27532*n**2*t**2 + 126*n*t**2 - 140*n*t + 2*t**2 wrt n.\nAnswer: -55064*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*p + 639 = -10*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 - -2957?\nAnswer: 2943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -2*f**3 - 4*f**2 - 2*f + 2. Let g be c(-2). Suppose 22 - g = 2*n + 2*l, 36 = 5*n + 4*l. Solve 2*v + n = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*m + u, 2*m - 2*u - 8 = -m. Let q = -18 + 3. Let l = -10 - q. Solve -21 = -l*c - m*j, c + j = -2*j + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 2\/7, -1, 4\/3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9*z - 333. Let i be l(36). Calculate the lowest common multiple of 33\/(33\/i + 12\/3) and 88.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47 by 80.\nAnswer: 47\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3157*w - 636. What is the thousands digit of m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -32*y + y - 33*y + 57*y. Let f(z) = 6*z. Let r(q) = 15*q. Let b(n) = 12*f(n) - 5*r(n). Determine b(j(h)).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3733714 (base 9) to base 4\nAnswer: -13233220210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 3)*-9 - 0 - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3320 (b) -173 (c) 1.98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -198*d**2 + 2895 - 2895 + (0 + 0 + 2*d)*(-2 + 7*d + 2) + 4*d - d**2 - 4*d + 5*d**2 - 3*d**2 - 4*d**2 as y*d**2 + p + l*d and give y.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -g + 12. Suppose -3*a + 2 + g = 0. Suppose -a*n = 5*m - 90020, 19279 + 205713 = 5*n - 2*m. What is n rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 176.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 142.6 - 142.595639. Round b to 4 decimal places.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14220\/(-11850))\/((-2)\/30*-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 16) + -5 - -3 - 35?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 3*c + 31, c + 21 = 3*x - 2*c. Suppose -4*q + 4 = 0, 3 = -2*w + x*q + 4. Are 0 and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 61. Let o = 23 - l. Which is the closest to 1? (a) o (b) 0.3 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 77*b**2*w - 445*b**2 - 70*w - 149 wrt b.\nAnswer: 154*b*w - 890*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8274, 16272, 24058, 31632, 38994, 46144?\n\"Answer: -106*z**2 + 8316*z + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*z**3 - 3*m*z**2 - 94722*m*z - 11*m + 413*z**3 - 980*z**2 - z wrt z?\nAnswer: 6*m*z - 6*m + 2478*z - 1960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + 2 - (-3 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-203235838.\nAnswer: -812943352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (69*c + 25*c + 10*c - 14*c - c + c + (-3 + 0 + 4)*(4 - 4 + c))*(0 - 1 - 1).\nAnswer: -182*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-638)\/(-55)) + (-3)\/30*-346?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 8*s - 11. Let k be o(2). List the prime factors of (42\/(-28))\/(k\/(6780\/(-9))).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -3*k - 171247796*h + 171247795*h, 58 = -3*k - 8*h for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*g**2 - 17401 + 136*g**2 + 143*g**2.\nAnswer: g**2 - 17401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28948 = -14*u + 195868 + 70324. What is the thousands digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 144 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (((-22 - -24) + (4 - 18) - -23) + 83).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + v**2 + v + 1. Suppose -z - 6 = -7*z. Let s(y) = -4*y**4 + 9*y**3 - 5*y**2 - 5*y - 5. Let j(i) = z*s(i) + 5*w(i). Let j(o) = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktakkkktakktkttta. Give prob of picking 2 k.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 140*j - 52*j - 46*j - 43*j.\nAnswer: -j - 88","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -o + 2*y, -16 = -6*y + 2*y. Let l = -360 + 4682\/13. Which is the biggest value? (a) l (b) o (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*g = -4. Suppose 4*u + 4 = 8*u. Suppose 4 = n - u. Sort g, 0.4, n in decreasing order.\nAnswer: n, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 989 + -383. Let c = p + -359. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -292 + 487. Let i be 1\/5 - 104\/d. Which is the smallest value? (a) 1 (b) -7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 410.64252 to the nearest ten.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeccgrecttq. What is prob of picking 1 q, 1 t, and 1 c?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 263157, 526316, 789475, 1052634, 1315793?\nAnswer: 1578952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 13\/1 + ((-186)\/(-372))\/((-2)\/4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -11*c - 22. Does 9 divide o(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63113, 122759, 182391, 242003, 301589, 361143, 420659?\nAnswer: 480131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 10*s**2. Let w be r(1). Suppose y - w = -7. Suppose 117 = 3*b + y*o, -4*b + 132 = -0*b - 2*o. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, p: 3, z: 1, q: 9, t: 2}. What is prob of picking 1 p, 1 m, and 2 q?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 12 + 6 + 7. Let a(h) = h**2 + 5*h + 2. Let w be a(-4). Let t(b) be the first derivative of 3*b**2\/2 - 2. Give w*d(r) + t(r).\nAnswer: r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42804 is divided by 2851?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54 - 44. Suppose a = 19*g - 9. Solve 4*o + 1 = -5*c + 5, o - g = -3*c for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(2\/(-18)). Let v be 1*(-2 + a)*1. Let s(z) be the first derivative of -3*z**2\/2 + 3*z + 2. What is s(v)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2553\/((-3441)\/93))\/(-7*(-2)\/(-2))?\nAnswer: 69\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -30*x + 26*x + 4. Is (2\/(-8))\/x + 300521\/52 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(304) + sqrt(304) + sqrt(304) + 1 + (sqrt(304) - (sqrt(304) + -1)) + sqrt(304) + sqrt(304) + sqrt(304))**2.\nAnswer: -144*sqrt(19) + 10953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 8. Suppose -16 = -2*t + 2*j, -b*t = -3*t - j. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 4. Let h(a) = -11*a + 12. Let b(z) = 6*h(z) + 17*j(z). Suppose 11*v = 9*v + 12. What are the prime factors of b(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 4:55 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + -7 + (4 + -4 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 7*a + 1. Let f be 178\/5 - ((-66)\/15 + 5). Suppose m = 40 - f. Calculate the remainder when s(1) is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 2*b - 1 = -k, 33 = 3*b - 3*k for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -137 + 687. Does 50 divide p\/((4\/10)\/(96\/120))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21989*d*y**2 + 36*d*y + 75*y - 1 wrt y?\nAnswer: -43978*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 6*b. Let z(k) be the third derivative of k**4\/12 - 140*k**2. Give z(y(v)).\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**3 + 22*q**2 - 978*q - 3078 = 0. Calculate q.\nAnswer: -27, -3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1830\/14)\/1 + (-2)\/(-7). Let q = n + -62. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -119, -964, -3247, -7688, -15007, -25924, -41159?\nAnswer: -61432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23710 + -4267801\/180. Is 3 not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2931684.868 to the nearest one hundred.\nAnswer: 2931700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2392*r + 15. Let v(z) = -25116*z + 156. Give 52*k(u) - 5*v(u).\nAnswer: 1196*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5413216 rounded to 4 decimal places?\nAnswer: 0.5413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1588892 and 0.062.\nAnswer: -98511.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -57a282?\nAnswer: 57a284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by (-55918)\/(-730) - (-3)\/2*20\/75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - 0. Let a = 23.5 + -24. Let p be (-14)\/(-63)*12\/(-80)*-5. What is the closest to c in p, 0.3, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7812 and 3654?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wkkwdwkkwkkdw. What is prob of sequence dwwk?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -1)\/(4\/(-10)). Suppose s*i + 3*h = 3, 0 = -3*i - 4*h + h - 3. Suppose -2\/3*l**i + 2\/3*l**4 + 0*l + 1\/6*l**2 + 0 = 0. What is l?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 = -3*d + i + 234, -493 = -4*d - i. Suppose -8 = 2*w + 4. What is the remainder when d is divided by (w\/(-9))\/((-2)\/(-93))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 + 13*i**2 - 3*i - 6. Let u be q(5). Let h = u - -1158. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 + 79*h - 39. Let t be i(39). Let m(y) = -15*y**2 + t*y + y**2 - 2*y - 14*y**2 - 12*y**2. Let q(x) = 4*x. Determine m(q(l)).\nAnswer: -640*l**2 - 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**3 - 138*i**2 - i + 163. Determine z(-69).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*v - 174 - 58 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6706 - 3353. Suppose 847 = 3*h - r. Round h to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 2*n**2 + 6*n. Let l(r) = 3*r**2 + 6*r. Let f be 15*1 + 1 + 1. Let x = -12 + f. Let o(v) = x*l(v) - 4*k(v). Find the second derivative of o(y) wrt y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7895004 rounded to three dps?\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/9 - (-21)\/27. Let o(d) = 4*d + 6*d + v - 5*d. What is the units digit of o(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 746298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19810?\nAnswer: 2, 5, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 66 - 483\/2*o**2 - 27*o**4 - 72*o + 639\/2*o**3 = 0.\nAnswer: -1\/2, 2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19033554*d + 86876602 wrt d?\nAnswer: -19033554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*z + z. Suppose -4*q + 43 = w - 2, 39 = 4*q - z*w. What is the tens digit of q*(0 - -1) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -808.43 to the nearest 10.\nAnswer: -810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/91)\/(3\/(-12)) - (-2)\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 0.7, 0.022?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -243? (a) 0.4 (b) 2 (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -23. Suppose 8*a - 17*a + m = 0. Solve 3 = a*v - 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1101001110?\nAnswer: -1101010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (-8)\/2 + 4. Let w(h) be the second derivative of 131*h**3\/3 - h**2\/2 - 19*h. Is w(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 287 + 22753. Let m = -15003 + g. Let z = m + -4342. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -390786 greater than -387184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 10*t**2 - 9*t + 9. Give d(-9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 13*a**3 - 643343*a**2 - 692845*a - 49489.\nAnswer: (a - 49489)*(a + 1)*(13*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**5\/3 - 4*i**4\/3 + 4*i**3 - 2*i**2\/3 - 11*i\/3 + 2.\nAnswer: -(i - 1)**3*(i + 1)*(i + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -1.17335?\nAnswer: 0.352005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dqqddqdqqddqd?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 - 49*y + 39. Give l(22).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4198272273?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 15*d - 2940 + 3096 = 0, 3*k + d = -2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52792 - 2*i**3 + 3*i**3 + 66*i**4 - 12*i**4 - 52767 to the form w + q*i**2 + x*i + m*i**3 + f*i**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 83383 (b) -2.09 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*i + 192*i**3 + 3 + 186*i**3 - 376*i**3 + 5 + 0*i**2 - i**2 to j*i**3 + l + p*i**2 + x*i and give x.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152)\/(sqrt(8) - 2*sqrt(8)) - (2 + sqrt(171)))*-1)**2.\nAnswer: 16*sqrt(19) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25401127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10308 + 10306. Which is the third biggest value? (a) 3\/4 (b) -30\/13 (c) j (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 1231*t. Let q(x) = 188*x - 135*x - 51*x. What is z(q(v))?\nAnswer: 2462*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5493 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037.41149 rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 6) in base 14?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - v - 495 = 0, -2*o + 226 = 2*v - 760. What is the greatest common factor of 646 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-27) - (-1024)\/9. Suppose -2*q - 66 = -2*n - 4*q, 2*q + i = 3*n. Let k = -15 + n. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -580\/7 - -83. Let u be 6 - -21*44\/(-462). What is the closest to a in 0, u, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*y - 1542121 - 1085630 = -53320914. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 149687 and 7059?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + h - h)*(1 - 1 - 2*h) + (120 - 389 - 223)*(57*h**2 - 57*h**2 - 13*h**4).\nAnswer: 6392*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.4523281351+-1197\nAnswer: -1196.5476718649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 216942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 315 by -63.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*q**4 - 10292*q**3 + 2205060*q**2 + 736164*q.\nAnswer: 4*q*(q - 429)**2*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l - 1312 + 1318 = 2*j, 4*l + 3*j = 31 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 23664 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-168)\/(-126))\/(3\/((-9)\/(-2))). Let d be 1\/((4\/(-6))\/(-2)). Let m be (-2)\/(-6) + d\/(-9). Solve -3*i + q*g + 17 = 0, -5*i + m = 4*g - 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - 56 - (23 + (13 - 22))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f + 3*f**2 - 5*f**2 - 2*f**2. Let r(x) = -7*x**2 + 9*x. Let p = 8 + -2. Let t(i) = p*r(i) - 11*q(i). Find the second derivative of t(z) wrt z.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/11)*o**(10\/13) assuming o is positive.\nAnswer: o**(84\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -y + 2*f - 13, 2*f + 8 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/4 - 1098*v**3 - 74037*v**2\/4 - 86868*v - 69456 = 0. Calculate v.\nAnswer: -1447, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.99 + -10. Let d = 2.99 - s. What is the smallest value in d, 5\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3175*i - 6378*i + 3202*i. Let p(j) = -j + 1. Let n be p(1). Let t(r) = 2*r**2 + 0 + n. What is t(b(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n + 5. Let z be 165*((-3)\/9)\/(-1). Let u = z - 20. Calculate the remainder when u is divided by i(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 5*h - 41 = 0, 4*l + 3*h = 26 + 25. Suppose -u - 19 = -l. Let j(q) = q + 1. Determine j(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.4, -8, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1204 (base 5) to base 7.\nAnswer: -344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {n: 1, d: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**4 - 9378*i**3 + 28861673*i**2 - 29018342616*i + 28989490320 = 0 for i.\nAnswer: 1, 2345, 3516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2367*117671\nAnswer: -278527257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/3)*m*m)**50\/(m**(-2\/7)*m*m**6*m)*(m*(m\/(m\/((m\/(m\/m**(1\/8))*m)\/m)*m))\/m*m*(m*m\/(m**(-6)*m))\/m)**(-29) assuming m is positive.\nAnswer: m**(-11537\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 226 = 637. Suppose -5*c = -f - 97, 8*c - 4*c = 5*f + 44. What is the remainder when j is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, -5, 1, -4 in increasing order.\nAnswer: -5, -4, 1, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -28 + -16 - (-8008)\/98. Factor -162\/7*s**3 + 0 + 372\/7*s**2 + 3\/7*s**5 + 15\/7*s**4 - z*s.\nAnswer: 3*s*(s - 2)**3*(s + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**4 + p**3 - 6*p**2. Let d(f) = -3*f**4 + 808*f**3 + 131*f**2 - 9. Let u(x) = d(x) - 3*m(x). Find the third derivative of u(b) wrt b.\nAnswer: 72*b + 4830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**1)**(-1\/4)\/(a**0)**(3\/8))\/((a**(-2\/21)\/(a\/a**(2\/3)))\/(a**(-1)*a**(1\/3))) assuming a is positive.\nAnswer: a**(-31\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7803*w**2 + 618*w - 18. Let z(x) = 5*x + 31. Let p be z(-5). Let q(h) = -7803*h**2 + 617*h - 17. Let a(i) = p*q(i) - 5*r(i). Factor a(f).\nAnswer: -3*(51*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhm when three letters picked without replacement from {m: 13, h: 5}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 239403236*j**2 + 957612896*j - 957612880 = 0. Calculate j.\nAnswer: 2, 59850805","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 + -8. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, l: 2}. Give prob of sequence ll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 11:50 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-138)*2 + 252\/(-276).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462807.\nAnswer: 3, 61, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -21*w. Let t(u) = u**3 + 26*u**2 - 30*u - 47. Let x be t(-27). Let j(p) = x - 9*p - 16 - 18 + 7*p. What is k(j(y))?\nAnswer: 42*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1762995113 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4052 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0 + 3 - sqrt(17) - (0 + sqrt(1088)))**2 + ((sqrt(187)*5*-4)\/sqrt(11))**2.\nAnswer: -48*sqrt(17) + 7897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjj when three letters picked without replacement from vzzppbvbzjbzzvvvzzjz?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 - (3 - -15))*(4 - 21\/(-70)) - 11.\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 20*g**3 - 311 + 311.\nAnswer: -26*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3823, -15230, -34231, -60820, -94991, -136738, -186055?\nAnswer: -242936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -799714790 by -533855.\nAnswer: 1498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-2*(sqrt(272)*-1 + 3))**2.\nAnswer: -96*sqrt(17) + 1126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 248600.066007 plus 0.1?\nAnswer: 248600.166007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-245)\/49*(-10)\/(-75).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**2 + 6*p - 2. Let k(s) = -s**2 - s - 15. Let r(m) = -m**2 - m - 12. Let g(i) = 4*k(i) - 5*r(i). Let y be 8\/12*(-3)\/2. Give y*z(t) + 4*g(t).\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**4\/3 + 79*w**3\/3 + 784*w**2 - 1827*w. Find the first derivative of o(d) wrt d.\nAnswer: -8*d + 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13577610?\nAnswer: 2, 3, 5, 452587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c - 60, 4*r - 283*c + 279*c = -44 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -72540.65 rounded to the nearest 10?\nAnswer: -72540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 43*i**2 + 44*i + 2. Give t(-44).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 616? (a) 5 (b) 2\/7 (c) -3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, e: 2, p: 5}. Give prob of picking 1 p and 2 e.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*l**2*q - 19*l*q - 11*q - 1689 with respect to l.\nAnswer: 50*l*q - 19*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert a5 (base 16) to base 15.\nAnswer: b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0*o + o + 19 = 0, -5*o = 3*r + 5. Suppose r*f = -2*f - 28. Let a(p) = -13*p + 2. List the prime factors of a(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5 - 5*r**4 + 16*r**3 + 68*r**2 + 48*r = 0. What is r?\nAnswer: -6, -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.065 (b) 1.8 (c) 2\/9 (d) -33 (e) 0.6 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040289?\nAnswer: 3, 346763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/((-6)\/8*(-14)\/(-21)). Suppose -5*u - m*a + 0 = -22, -3*u + 10 = 4*a. Put 2\/87, -3, u in increasing order.\nAnswer: -3, 2\/87, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 7*d + 54 = 0. Let l = 0.3 - 0.2. Is d at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 560079 is divided by 186653.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -21 and -0.153.\nAnswer: -21.153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3.03 and -0.06222?\nAnswer: -0.1885266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 4275?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 27*x**2\/2 + 15*x + 6855. What is u(-5)?\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**4 - 4*i**3 - 13*i**2 + 4. Let j(f) = -3*f**4 - 5*f**3 - 13*f**2 + 5. Let k(q) = -4*j(q) + 5*s(q). What is the third derivative of k(y) wrt y?\nAnswer: 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 7:17 PM?\nAnswer: 10:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -277*t**2. Let c(a) = 12*a. What is r(c(v))?\nAnswer: -39888*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (30 + -17)) + (4 - 7) + 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 2*g + 16823. Calculate t(128).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 8:26 AM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 14. Let o be (l - 0)*(-1 - (-5 + 0)). Suppose -h = x + 2*h - 52, -5*h + 229 = o*x. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1185 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 352484, 704921, 1057358, 1409795, 1762232?\n\"Answer: 352437*o + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330621 divided by 3.\nAnswer: -110207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -140 divided by 22.\nAnswer: -70\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 2 (b) -4 (c) 4 (d) 1\/9 (e) -56\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bdsbsgbwbgkwsbb. Give prob of picking 2 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 71 + -64. Suppose -y*b + 4*b = -2*z - 1813, -4*b + 2419 = -z. List the prime factors of b.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000770180047 to 6 dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355230 a multiple of 126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 2*o = 0, -t - 2*o - 101 + 117 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 3069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -125110*a + 5 + 125113*a - 1 - 1 - 3.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45741786 is divided by 1260.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 7*k**2 - 2*k. Let d(n) = 29*n**2 - 9*n. Let h(c) = -2*d(c) + 9*m(c). Let l(o) be the first derivative of -o**2 + 21. Give h(l(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) + -6*-2*sqrt(121)))*5)\/(-6*(sqrt(1100) - sqrt(1100)*-1) - sqrt(1100)).\nAnswer: 6*sqrt(11)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 6, -3, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -209 + 174 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1024*z**2 + 1224*z**2 + 1220*z**2 + 1973*z wrt z?\nAnswer: 2840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*r**3\/5 + 42*r**2 - 321*r\/5 + 144\/5.\nAnswer: -3*(r - 1)**2*(11*r - 48)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -73994.1 to the nearest one thousand.\nAnswer: -74000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -135.\nAnswer: -135, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 equal to 154706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 + -53. Let r be (-3 - (-80 - -2)) + 1 + t. Let p be (1856\/r)\/8 + 4\/(-18). Solve p*v + 7 = -8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1336752, 1336750, 1336748?\n\"Answer: -2*s + 1336754","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190945.\nAnswer: 5, 38189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-6)*264\/(-440). Which is the fourth smallest value? (a) -4 (b) 9 (c) x (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 + -2.1. What is the closest to u in -0.3, -1\/3, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648*j - 31 = -4*c + 647*j, 10 = -2*j. Let k(a) = -30*a**2 + 9*a - 9. Let b(r) = -r**2 + r - 1. Calculate c*b(i) - k(i).\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnv when three letters picked without replacement from vvnnnvnvnvvn?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (304 + z - 304 + 13*z**3)*(2 - 3 + 0).\nAnswer: -13*z**3 - z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20*-50 + (-21 - -35). What is the biggest value in -2\/9, 1\/6, j?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 + 2. Let h(m) = m**3 - 6*m**2 + 5*m + 7. Let s be h(5). Let d = -15 + 33. Suppose 5*p - s = d. Determine q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-1 - 14 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1992874 and 51662.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16287331.\nAnswer: 3571, 4561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -0*n - 24. Suppose 11*m - 7*m = 32. Let k = m + n. Calculate the least common multiple of 22 and k.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22458 and 2280.\nAnswer: 449160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i**2 - 1327*i - 166961. Calculate b(276).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 4:44 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -742, -1485, -2226, -2965?\nAnswer: -3702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 284081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43081 + 39493 = 60*j - 14*j for j.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.317 + 143.317. Let g = z - 140. Which is smaller: -54 or g?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 1274?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.28514 * 2.4\nAnswer: 0.684336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 33. What is s(-15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 420, 1235, 2592, 4491, 6932?\nAnswer: 9915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -33*g**2\/2 + 9. Let u(v) = -2*v**2 - 3*v - 2. Let k be u(-1). What is the units digit of h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s + 4. Let a(y) = -545*y + 268*y + 9*y**2 + 277*y. What is k(a(r))?\nAnswer: 27*r**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 12. Suppose 0 = 3*w + 4*k - 19, 5*w - 7 = 3*k + 15. Suppose 16*r - w*r - 11 = 0. What is the smallest common multiple of p and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-799*z + 1493*z - 204*z)*(-1 - 1 + 0)*(-6*z**2 + 0*z**2 + 4*z**2) to the form k*z**3 + r*z**2 + y*z + q and give k.\nAnswer: 1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(612) + 1 + sqrt(612))*-6*-1 + -1)*1)**2.\nAnswer: 7344*sqrt(17) + 793441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 750 and 525.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 528285 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 21. Let w be v(0). Suppose -5*b - 71 + w = 0. Let n = b + 6. What is n rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4 = 0, 8*s - h = 19*s + 2*h - 30 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -982 or -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.489 + 2.621. Round h to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 99 - 107 - g + 4*g. Let d be i(3). Solve d = -6*r + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of -j**4\/12 + 2*j**3 + 11*j. What is the second derivative of d(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -15*a + 36. Let f be t(2). Solve 3*w - 15 = 2*c, f*c - 2*c + 3 = -3*w for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 25*t + 8. Let l be h(-5). Let f = -48 - l. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + z**2 + 3. Let f be n(0). Suppose -2*u - f*b = u - 24, -4*u = -b - 17. Suppose 0 = -x - 4*x + u*p + 10, 5*p - 5 = 0. Solve 1 - 16 = x*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45897679, 45897677, 45897675, 45897673?\nAnswer: 45897671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90518 - 218028. Round q to the nearest 1000.\nAnswer: -128000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-2))\/17*10\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - f - 1. Let v(h) = -4*h**2 + 5*h - 1. Let r(d) = -2*m(d) - v(d). Let u be r(3). Let t be (-8)\/u - (-12)\/(-9). Is -2 bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 6)*(-2*k - 1 + 1) + ((-4*k + 3*k + 2*k)*(-1 + 5 - 2) + 2*k - 11 + 11)*(-4 + 9 + 0).\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1863*z = -1892*z - 319 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 10 = -17*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**1)**(3\/25)*((x\/(x\/((x*x**(-1)*x)\/x)))\/x)**(-1) assuming x is positive.\nAnswer: x**(28\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*b + 4*y, -6*y + y - 3 = 4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -199298090*m**3 + 177656368*m**2?\nAnswer: -1195788540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 5*i = 1044, 1549 = -41*n + 44*n - i. Suppose 2*b - 41 - 31 = -5*j, j + 22 = b. Calculate the remainder when n is divided by b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 145*n - 148*n + 1 - 1. Let m(t) be the third derivative of t**4\/12 + t**2. Determine c(m(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2110250 is divided by 150728.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15.41 + -40.41. Which is the smallest value? (a) 1\/6 (b) -1\/3 (c) i (d) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-10))\/((-2)\/(-145)). Suppose 0 = -5*b - 8 + w. Let c = -3 + 9. What is the lowest common multiple of b and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*q = -16, -5*b - 2*q + 5*q = -14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v - 2*v - 3*v)*(-15 - 4*v + 15) + (7*v - 3*v + v)*(-18 + 18 - 3*v).\nAnswer: 17*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4 + (-5*sqrt(48)*2 - ((sqrt(432) - sqrt(432)*-2) + 4))**2.\nAnswer: 608*sqrt(3) + 17339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 926 - 400. List the prime factors of h.\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3878\/10725 - 2\/975. What is the second biggest value in f, 1\/7, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -51786387 and -2.\nAnswer: 103572774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007490799 rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1381\/(-1381) + 3 + 2 + -1. Solve 5*i - 4*f = 27, k*i + i - 15 = f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*u + 295*u + 310*u - 33*u**3 - 892*u - 158*u**3.\nAnswer: -191*u**3 + 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13529, 27056, 40581, 54104, 67625, 81144?\nAnswer: 94661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -26003221 (base 7) in base 6?\nAnswer: -122242414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 856 and 4948?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146483 is divided by 5620?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45 + -11. Let z = r + 74. Let f = -4 - -8. What is the remainder when z is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180937.3 litres in millilitres?\nAnswer: 180937300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 5*d = -40, -3*n - 3*d - 2*d = 8. Find the third derivative of 2*x**2 - 4*x**4 + 0*x**2 + 2*x**5 + n*x**4 wrt x.\nAnswer: 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 278 = -270. Calculate the lowest common multiple of c and 7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 459, 2169, 5539, 10995, 18963?\nAnswer: 29869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - (sqrt(104) - (sqrt(104) + (sqrt(104)*-1 - sqrt(104)))))\/sqrt(8) - sqrt(13)) + -2*sqrt(52)\/sqrt(4).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + -13. Let t(n) = 5*n + 4. Let z be t(6). Let s = z + i. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -68*h - 202. Let k = 45 + -48. Let g be b(k). Let p(d) = 3*d**2 - d - 4. What is p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 11*d**2 + 0*d**2 + 9*d**2 + 0*d**2 + 100 to the form r*d + j*d**2 + s and give s.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.93? (a) 2\/7 (b) 91 (c) 56\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 7:12 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -20\/3*a**3 + 16 + a**4 + 8*a**2 + 0*a. Factor t(p).\nAnswer: 4*p*(p - 4)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1033 and -254152.\nAnswer: -262539016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3245 (base 11) in base 16?\nAnswer: -10bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-21\/2)\/((q**(1\/4)*q)\/(q**(-1\/6)\/q)) assuming q is positive.\nAnswer: q**(-155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/120 - i**5\/12 + i**4\/24 - i**3\/2 + i**2. Let c(k) = -70*k + 355. Let j be c(5). Give t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1627194ng in tonnes?\nAnswer: 0.0000000000000001627194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -0.0302, 125, 2.3?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 49280*x**3 + 352*x**2 - 352*x - 352. Let b(v) = -699*v**3 - 5*v**2 + 5*v + 5. What is -352*b(m) - 5*i(m)?\nAnswer: -352*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(sqrt(9) + (sqrt(108) + -2*sqrt(108) - sqrt(108))\/sqrt(12))\/(sqrt(12)\/sqrt(4)*-5).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 2*t + t. What is the remainder when 7 is divided by (t\/(-25))\/(4\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*h**2 - 9*h**2 - 12*h**2 - 10 + 26*h**2 to s + v*h + c*h**2 and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -1724*k - 1508467. Determine a(-875).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-1) - (-867)\/(-3). Let s = -224 - y. What is the highest common factor of s and 544?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4838\/(-295) - (-391)\/115?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3270.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 286 - 280. What is the greatest common factor of w and 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 448 - 704\/3*f + 38\/9*f**3 - 20\/9*f**2 - 2\/9*f**4 = 0.\nAnswer: -7, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54000 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39244*q = 39350*q + 5830 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -1\/4, 84.6, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77092239 to the power of 1\/2, to the nearest integer?\nAnswer: 8780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 137434.9km to meters.\nAnswer: 137434900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -160 + 208. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 w when three letters picked without replacement from {l: 2, w: 4}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**6\/8 + 3*s**5\/10 - s**3\/2 - 3*s**2\/8 - 15. Factor m(i).\nAnswer: 3*i*(i - 1)*(i + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044636115 rounded to 3 dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, -451, 772?\nAnswer: -451","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222112300323 - 10?\nAnswer: 222112300313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 4\/7 (b) 1\/2 (c) -227\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(42)\/(sqrt(300) - (sqrt(300)*-1 + sqrt(300)) - sqrt(3)))\/(5*sqrt(50)*-5).\nAnswer: -sqrt(7)\/1125 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n\/(n**(-4)*n))*n)\/(n**(-2\/13)\/n*n*n))\/(n*n**(-2\/121)\/n*n*n*n*n)**(-2\/23) assuming n is positive.\nAnswer: n**(-54260\/36179)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 b when two letters picked without replacement from rbrrbgwri.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**3 - 2*k**3 - 5*k**3 + k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11\/29 + 61\/145. Let z = 5 + -4.94. Which is the nearest to -0.1? (a) 5 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 30542 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.18, 0.5, 1 in decreasing order.\nAnswer: 1, 0.5, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 279? (a) 5 (b) 1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1661, 6637, 14921, 26513, 41413, 59621?\n\"Answer: 1654*j**2 + 14*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -384374.5 rounded to the nearest 1000?\nAnswer: -384000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -3. Let h(m) = -4 + 2 + 1 + 0. Let k(z) = -2*z - 2. Let u(g) = 5*h(g) - k(g). Give u(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-59 - (2 + -1))*-1. Calculate the highest common factor of 108 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 49.0464. Let n = -0.03 + b. What is n rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 1167*z + 18423. Give g(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/b**(-16))\/b*(b\/b**(-2))\/b assuming b is positive.\nAnswer: b**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106566930 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -79*o + 245 - 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163536?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 10423313140 (base 5) to base 7\nAnswer: 200050120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-6))\/((530\/(-15))\/(-53))*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*5*-1*sqrt(6)*6)\/(3*(sqrt(72) - -2*sqrt(72)) + sqrt(72) + (sqrt(72) - sqrt(72)*-2)*-2 + sqrt(72)).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -5446.\nAnswer: -5446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - ((-33 - -31) + 1 + -6)) + -16.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 616 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 340 + -409. Let w = 94.468 - 0.268. Let m = j + w. Round m to 0 decimal places.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.2 + 0. Let u = -20 + 16. Let q = u - 1. What is the third smallest value in 0, m, q?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173*f**2 + f + 107 wrt f.\nAnswer: 346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j**2. Let p(m) = -m**2 + m + m**2 + 5*m**2 - 1 + 1. Give g(p(y)).\nAnswer: 125*y**4 + 50*y**3 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93007?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.08 times -0.5\nAnswer: 0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -10. Let s = -2738 + 2738. What is the closest to s in i, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 335 (base 13) in base 9?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 - 3*n**2 - 2*n - 13. Calculate the remainder when k(-5) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6769 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2057) + sqrt(612) + 2)*-4 - ((4*(sqrt(119) - (sqrt(119) - (sqrt(119) - -1*sqrt(119)) - sqrt(119))))\/((sqrt(56)*-1)\/sqrt(8)) + -2)**2.\nAnswer: -2460 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 683837 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25 + -16. Suppose -j - 2*j - g = 0. Let w be -18*j\/15*5. What is the greatest common factor of w and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24207792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 215*d**3\/3 + 39. Let u(q) = 6*q. Let a(i) = -5*i. Let h(y) = 5*a(y) + 4*u(y). What is h(s(p))?\nAnswer: -215*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -352 - -355.94. Let i = z - -0.06. Let q = 1 + -1. Which is the nearest to q? (a) i (b) -2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 1*(-4)\/(-4)) + 38. Suppose -40*i + 35 = -f*i. Let t(o) = -4*o**2 - 13*o - 3. Let w(d) = 2*d**2 + 7*d + 2. What is i*w(g) + 4*t(g)?\nAnswer: -2*g**2 - 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**2 - j + 3. Let z(r) = 104*r**2 + 2*r - 32. Determine -2*i(s) - z(s).\nAnswer: -112*s**2 + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1. Let z = 10 - 8. Which is the biggest value? (a) z (b) 0.3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2051.5 rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8849160\/4800)\/523)\/(3\/16).\nAnswer: 94\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-730)\/219)\/((-4)\/(-8550)). Suppose 0 = w - h + 2, h = -2*w - 0*h + 2. Let a be 240*m\/(-6) + w. Round a to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**3 + d**4 - 2*d**3 + (6 - 3*d + 2*d + 0)*(86*d**3 - 160*d**3 + 95*d**3).\nAnswer: -20*d**4 + 126*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 611257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z + 20. Let c = z + 6. Solve -8*a + 4*a - 2*j = -2, c = -a - 3*j for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697110.\nAnswer: 2, 5, 13, 20747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 1, -3\/7, 14, -5, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + 24\/(-9))*(2415\/270 - 9)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, v: 1, s: 3, e: 3}. Give prob of picking 2 e.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-23.3965.\nAnswer: 116.9825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2316 = -3*m - 2302, k = m - 6 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(468) - sqrt(468)*-2)\/sqrt(9) - (sqrt(52) + -1 + 4)) + ((sqrt(312) + 2*sqrt(312))*4)\/sqrt(6).\nAnswer: -3 + 28*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b - 3*b**3 - 2*b + 2*b**3)*(-1 - 1 + 0 - 1 - 1 + 6 - 3 + 2 + 2 + (-4 + 2 + 3)*(0 + 0 + 1)).\nAnswer: -4*b**3 - 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.4 and -18404301.\nAnswer: -18404300.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 84898730587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19 * -0.048.\nAnswer: 0.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1 - 5 = 0. Let b(a) = a**2 + 2*a + 2. Let r be b(q). Solve -4*c + 5 = 5*n, r*c - 3*n + 10 + 15 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 0*m**2 - m - m + 5*m as d*m**2 + n + k*m and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2199*m - 3649 with respect to m.\nAnswer: 2199","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 411*f**2*l**2 - 1040*f**2*l - 2*l**4 wrt l.\nAnswer: 822*f**2 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6053303 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 80*w**2 + 336*w + 17. Let o be g(-84). Which is the nearest to o? (a) -2\/7 (b) -4 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*q + 20*q - 3. Sort 2, 1, 4, q.\nAnswer: 1, 2, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*i + 4*k + 3, 4*i - 16 = 3*k. Let r = 0.7 + -0.67. Let u = -0.37 - r. Sort 3\/8, u, i in decreasing order.\nAnswer: i, 3\/8, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132\/1655939 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 1335.32\nAnswer: 1335.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l**3 + 34*l**2 - 95*l - 3. Let g(d) = -16*d**3 + 104*d**2 - 284*d - 10. Let u(h) = 6*g(h) - 20*k(h). Factor u(x).\nAnswer: 4*x*(x - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 5*j**2 + 102*j - 102. Let n be l(1). Which is the biggest value? (a) n (b) -295 (c) 4\/5 (d) 0.5 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -75, -80, -65, -12, 97?\n\"Answer: 3*l**3 - 8*l**2 - 2*l - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u + 22 = 0, -y + 88 - 87 = u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -8) + (2 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 31*h**2 + 4*h + 119. Let r be p(-31). What is the closest to 2 in 1, -58, r, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5388*g**3 - 3*g**2 - 4*g - 3. What is the tens digit of d(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**2\/7 + 444*l\/7.\nAnswer: 3*l*(l + 148)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 0, 1.5, -1\/51, 5, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.071 + -0.0709458. What is u rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 84\/8*(-2)\/(-3). Suppose 5*n = 5*w, -w - y = -3*w - 5*n. Find the common denominator of (351\/(-12))\/(-3) - w and -79\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4741*f*m*q**3 - 2*f*q**2*s + 8*f*q**2 + 2*f*q*s - f + 9*m*q**2 - 33*q**3*s - 5*q**2 wrt q?\nAnswer: -28446*f*m - 198*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 151 and 5567646179.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 2:23 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21? (a) 5 (b) -460 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 10*b**2 - 3*b + 23. Calculate k(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t + 13050 = -5*r, 3*r + 7830 = -2*t. What is r rounded to the nearest one hundred?\nAnswer: -2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009580801 to 6 dps.\nAnswer: 0.009581","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*y - 26780 = -51*y - 54*y. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 160 = -3*t, 5*t = 3*k - 35 - 77. Let r = 29 - k. Suppose r = 2*q - 27 - 19. What are the prime factors of q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 3*h + 5*h - 2*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 691980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9484*t + 9484*t + 9468*t - 28486*t.\nAnswer: -50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1024 and 111016.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000614086 rounded to seven dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -754\/3 + 252. Solve -2*h**2 + 0 + a*h - 2\/3*h**4 + 2*h**3 = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 813 + 2?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/490116 and -29\/1188.\nAnswer: 4411044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4076574701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1488*g - 249*g + 303*g + 83*g.\nAnswer: 1625*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 6*j - 212. Let z be m(29). Let u(s) = s**2 + 35*s - 85. Let f be u(z). Solve -7 + f = 5*g + 3*n, 2*g = 4*n - 12 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15711 - -2?\nAnswer: 15713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.9 + -6. Let j = -0.9 + d. Let k(q) = q**2 - 4*q - 1. Let t be k(3). Which is the closest to j? (a) -2\/3 (b) t (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55251 is divided by 921?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10*o**3 + 16*o + 150 wrt o?\nAnswer: -30*o**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-78)\/(-65)*(9498\/(-168) - 9). Which is bigger: -78 or r?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -135 + 243. Suppose 5*t - 135 = -4*d - 0, -4*t + 3*d = -i. Calculate the highest common factor of t and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of c**6\/120 + 13*c**5\/60 + 11*c**4\/24 + 13*c**3\/6 + 7*c**2. Let f(y) = y - 12. Let b be f(0). Does 8 divide v(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 v, and 1 q when three letters picked without replacement from {q: 1, n: 3, s: 6, v: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 12*i**2 - 8*i - 10. What is j(13)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-15))\/u*u)**(-20)*(u**(-4\/19)\/u)\/((u*u\/(u\/(u*u**(-3\/4)))*u)\/u) assuming u is positive.\nAnswer: u**(21093\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -20*i**2 - 295*i + 75 = 0.\nAnswer: -15, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -3\/4, -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38, -342, -1140, -2672, -5178, -8898, -14072?\nAnswer: -20940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 3*o - 61. Let l be z(21). Suppose 13*i = 17*i + 4*a - 152, l*a - 142 = -4*i. Calculate the least common multiple of 10 and i.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -190714, -381541, -572368?\nAnswer: -763195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3023 + -2999. What is the highest common divisor of 2088 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**(-5)\/w)\/w)\/((w\/(w*w**(1\/4)*w))\/w))**18 assuming w is positive.\nAnswer: w**(-171\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -3 + 0*n**2 + 1\/2*n**3 + 3*n + 1\/3*n**4. Let p(h) be the first derivative of t(h). Find the second derivative of p(u) wrt u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 1\/147*p**8 - p**2 + 0*p + 1\/105*p**6 - 6\/245*p**7 + 0*p**3 + 0*p**4 + 16 + 0*p**5. Find a, given that c(a) = 0.\nAnswer: 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86410111.\nAnswer: 29, 47, 63397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 20 = 0, 0 = -b + n + 17 + 1. Let c be 2 + -2 + 2 - 1. Suppose -3*z + b = -c. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 217, 330, 445?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1385 and 164825.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2248411 is divided by 19551.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3)*-3 + -55. Suppose 2*r + 5*d - 3 = 3*r, -3*r - 4*d = -10. Let q = r - b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5)\/(c\/(c*c**(-4\/9))))**45 assuming c is positive.\nAnswer: c**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -14*w**5\/3 + 7250*w**4\/3 - 41732*w**3\/3 - 129088*w**2\/3 + 32512*w\/3 + 131072\/3 = 0.\nAnswer: -2, -8\/7, 1, 8, 512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1923696423?\nAnswer: 3, 11, 3049, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + h**2 - 2. Let z = -268 - -182. Let l = z + 88. Determine j(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -320*x**3 - 4*x - 43. Let q(z) = -2*z**3 + 2*z - 1. Let b(m) = 2*q(m) + r(m). Differentiate b(y) with respect to y.\nAnswer: -972*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1 = -15*c + 10*c, 0 = 4*z + 2*c - 22 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 15\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -400*m**2 + 403*m**2 - 64 + 6 to the form f*m + s*m**2 + u and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.018 + 0.192. Let j = u - 0.41. Which is the closest to j? (a) 0.1 (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15580.\nAnswer: 2, 5, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 8 = 2*y, -20*j + 4*y + 35 = -9*j - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 2:37 PM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 - (-4)\/16. Suppose -c - 5*k + 31 = y, -4*c + 31 = 3*k - 8. Let u be 600012\/(-20) + c\/10. What is u rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from {l: 6, t: 2, m: 2, a: 7, z: 1}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5055070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 5:40 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1665 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.66? (a) -15 (b) -1 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 191829526 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**4 + 3*q**4 + 2*q**4 + q**4 - 2*q**4 + 3*q**4 + (0 - 2*q + 0)*(2*q**3 + q**3 - 4*q**3).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 110593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/39*(-18)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5d4d - 4?\nAnswer: -5d52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 7*t + 6. Let l be a(-10). Let x be (1 - (-73)\/(-65))\/(l\/(-90)). Which is smaller: 4 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93826 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: What is the product of -63456 and -0.5?\nAnswer: 31728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4\/3, -14, 32, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27464\/397 at most 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m - 12. Let y be b(5). Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/32 of a day?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/36 and -65\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/2898*378\/(-210)\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -39*m - 4. Let a be z(-1). Solve -5*n + x + 2 + 28 = 0, -5*n + 2*x + a = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -3*v + 2*d - 108, -d + 249 = -3*v. Calculate the smallest common multiple of 140 and ((-30)\/27 - (-2)\/(-9))*v.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 15 = -2*p. Suppose -j = -b + p*j + 20952, -2*b = j - 41868. Suppose -4*l + b + 664 = 0. Round l to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 + 121 = -5*u. Suppose 0 = 5*p - 9 - 26. Calculate the greatest common factor of p and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 2*c + 6 = 0. Let u be 2\/5 + (-11)\/(-10). Which is smaller: c or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -212?\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.051 - -0.007. Let p = 0.149 - q. What is p rounded to 2 decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8088)\/9)\/(-4)*24\/(-4). What is the common denominator of x\/(-80) + (27\/(-15))\/3 and 67\/26?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**5\/20 + 7*d**4\/6 - d**2 + d. Let k be s(14). Which is smaller: k or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in -5, 177193, 10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 961883?\nAnswer: 13, 23, 3217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 25. Let x(p) = 4*p + 6*p - 9 + q*p + 44. What are the prime factors of x(3)?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*b**6))**(-1\/10)\/(b**(-3\/20)\/(b\/b**2)) assuming b is positive.\nAnswer: b**(-3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + 4)*-5 + (sqrt(156)\/((sqrt(120) + 4*sqrt(120))\/sqrt(10)))**2.\nAnswer: -55*sqrt(13) - 487\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 5*f + 2. Let n be c(-5). Let p(y) = -y**2 + 2*y + 2*y**n - 2*y. Let r(u) = 3*u. Give r(p(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of 2*j**3\/3 + 928*j**2 + 430592*j - 4650. Factor w(x).\nAnswer: 2*(x + 464)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27804413 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + 187485\/(-1450) - -40.\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*o - 72*o + 72*o - 45*o - 12*o.\nAnswer: -111*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 3 + (4 - (8 - -5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -56*i**2 - 738*i - 112. Calculate w(0).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -1035004?\nAnswer: -1035011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 301 and 2967.\nAnswer: 20769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 - 2 = 0. Suppose -z*m = -3*c - 35, 3*m + 5*c - 99 = -18. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u + 5*t + 8, 5*u - 22 = -2*t + 27 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2.38.\nAnswer: -0.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 2, 87 in descending order.\nAnswer: 87, 2, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of -7*j**5\/4 - j**3\/2 - 3*j + 2. Find the second derivative of c(r) wrt r.\nAnswer: -210*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26\/(-78))\/((2\/(-2))\/1)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 4*t**2 - 1. Let v be (3\/6)\/((-1)\/(-8)). Let c be (-260)\/(-22) + 1 - (-14)\/77. Suppose b = v, 4*b - c = -2*p + p. Determine k(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 18 - (1093 + -1137).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24170590 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11113006 and 6278.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -806, -871, -1000, -1193, -1450, -1771, -2156?\n\"Answer: -32*d**2 + 31*d - 805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16191 is divided by 4044?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 128 - 109. Suppose -3*t + q = 22. Let n(v) = -8*v**2 + 2*v + 1. Calculate n(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2560 + 2564. What is the third biggest value in w, 0, 0.05, 0.2, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211000110 (base 3) in base 2?\nAnswer: -11111010110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8159713506 to the nearest integer?\nAnswer: 90331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 46. Let q(u) = 1. Let f(v) = j(v) + 10*q(v). Let g(a) = a + 5. Let r(b) = -2*f(b) - 15*g(b). Suppose 9*l - 10*l = 3. Determine r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 6:39 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1409 + -1236. Does 90 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 201*s. Let x(f) = 2*f**2 + 556820. Determine x(b(q)).\nAnswer: 80802*q**2 + 556820","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 161487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -11*h**3 - 34*h**2 - 20*h + 21. Let j(y) = 4*y**3 + 12*y**2 + 7*y - 7. Give 8*j(x) + 3*o(x).\nAnswer: -x**3 - 6*x**2 - 4*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1205682 at most -1205723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - a - 61 = 0, 0 = -3*a - 3 + 9. Suppose 29*t = u*t. Solve x = -4*o + 8, -4*x + 4*o - 8 = -t*o for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50427034.\nAnswer: 2, 7, 3601931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 15*p**2 + 15*p + 8. Let l be j(16). Does 8 divide (-1421)\/l - (-30)\/80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5057, -5056, -5055, -5054, -5053?\n\"Answer: s - 5058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: What is the remainder when 215434 is divided by 6522?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3\/371, 0.91 in ascending order.\nAnswer: -3\/371, 0.91, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**4 + 2*c - 8*c**3 + 11*c**3 - 4*c**2 - 2*c**5 - 3*c**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2248.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 76, 468, 1514, 3544, 6888?\n\"Answer: 55*h**3 - 3*h**2 + 16*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**3 - 758*z**2 + 2902*z - 111253. What is i(-762)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -11. Let o(b) = 5*b**2 + 33*b + 85. What is the remainder when o(-8) is divided by ((-26)\/1)\/(3 - p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 160 + -153. Calculate the remainder when 48 is divided by p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/156)\/(2*4\/24)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*x + 92, 3*z + 3*x = -46 - 14. Let h be (-55)\/z*-6*1. Let y be (-12)\/h*9\/(-24). Is y less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -347*a**2 - 47*a + 47. Let q be c(1). Which is greater: q or -346?\nAnswer: -346","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 78188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 3*q + 2. Let v be m(-4). Suppose 2*j = 2*p - 54, 0 = -5*p - 10*j + 5*j + 155. Let n = v + p. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b + 97. Let r be u(-7). Let s = r - 137. Solve -3*f + j - 1 = -s*f, -j = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 520070 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2884*6.7.\nAnswer: 19322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10818941017 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 19*j**2 - 42*j - 16. Let n(p) = -7*p**2 - 465*p - 177. Let h be n(-66). Give m(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) 4 (c) 2\/17 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*r - 11 + 246, -3*d = 5*r - 190. Calculate the highest common divisor of 451 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}