{"text":"Question: What is 558 minutes before 1:40 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 4*w**2 + 35. Let v(h) = -9434*h. Calculate k(v(q)).\nAnswer: 356001424*q**2 + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -310 take away -6?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (6*(-6)\/(-108))\/(2\/4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -13.63921 plus -8940.12?\nAnswer: -8953.75921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 4*w = 3*r - 24, 4*w - 8 = 3*r. Suppose 18 = 2*p + 4*o, 2*o + 9 = r*p + o. Suppose -p*i + 10 = -14. What is the lowest common multiple of 20 and i?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 7) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 582, -65\/22, -15\/2 in ascending order.\nAnswer: -15\/2, -65\/22, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 314601 by -1477.\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -1233, -2564, -3895?\n\"Answer: -1331*g + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q = -q - 3. Let r(d) = 9*d**2 + 5. Let n(b) = 5*b**2 + 3. Let a(u) = q*r(u) + 5*n(u). Let s(j) = j - 7*j + 4*j. Determine a(s(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2.6 in 2, 0.08, 0.1, 0.3?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -33849, -33822, -33795, -33768, -33741?\nAnswer: -33714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 126*j**5\/13 + 2*j**4 - 210*j**3\/13 - 10*j**2\/13 + 84*j\/13 - 16\/13 = 0.\nAnswer: -1, 2\/9, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 - -8) + (-6 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4497443\/487 - -9235. Let d = 968\/1461 + t. What is the closest to -2\/3 in d, 1\/4, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(147) + -1 + (sqrt(3) - (-2*sqrt(36) + sqrt(36))\/sqrt(12)))**2.\nAnswer: 18*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 578*c*s**2 + 290*c wrt s?\nAnswer: 1156*c*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (6\/(-1))\/(4 - 6). Suppose -d*m + 37 = 4*s, -15 = -3*m - 2*s + 14. Suppose -5*h + 33 = -m. Solve -h = 3*i + i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -14.3 + 14.2. Let l = 9\/13 - 32\/65. Sort 2, p, l in descending order.\nAnswer: 2, l, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3306 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 49350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 241674 divided by 80558.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 6 - 7*b**2 + 16 - 5.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 43 divide 3870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 6, e: 1, s: 3, i: 1, t: 2, f: 2}. Give prob of picking 1 f and 1 t.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-10)\/3)\/(24\/108). Let r = g - -29. Calculate the remainder when r is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:03 AM and 7:41 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be 976\/144 + -8 + 1. Suppose h + 20 = -4*h. Let g be 2\/h + 7\/2. Put g, n, -3\/5 in ascending order.\nAnswer: -3\/5, n, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 7*n**2 - 2*n - 5. Let j(y) = -12*y**2 + 2*y + 11. Let k(i) = 3*j(i) + 5*u(i). Let z(l) = l**2 - 5*l - 3. Let p be z(4). Give k(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*p + 12 = 5*m, 2*p - 4*p + 5*m = 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 202556712 by 12.\nAnswer: 16879726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 108\/(-243)*315\/6720.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/5, 0.4, -57, 8, 3 in increasing order.\nAnswer: -57, -3\/5, 0.4, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2720 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -50 + 60. Calculate the remainder when 33 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 86545837*r**2 - 8*r - 4831236?\nAnswer: 173091674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 131 and 655.\nAnswer: 655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (-6*sqrt(825)*1 + sqrt(825) - (-3*2*sqrt(825) + sqrt(825)))\/(((2*sqrt(72))\/sqrt(3))\/(-1*sqrt(512))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(242) - (sqrt(4)\/sqrt(50) + sqrt(2))**2.\nAnswer: -72\/25 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.2 + 0.3. Let f(s) = s**2 + 9*s - 7. Let t be f(-10). Let j be (-6)\/(-9) - (-13)\/t. Which is the second smallest value? (a) w (b) j (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 0*m**2 + 12*m - 34 + 5*m**2 + 0*m**2 - 6*m**2. Let r be h(4). What is the hundreds digit of (-385)\/(-33)*2\/r*-21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (51 - 32) + (-20 - -4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = 164 - 149. Let l be (-6)\/9 + 40\/v. Let b(s) = s**3 + 3*s**2 - 2*s + 2. What is b(l)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the third derivative of a**5\/20 + a**4\/6 - 757*a**2. Let c(d) be the first derivative of 5*d**3 + 21*d**2\/2 + 4. Give -4*c(h) + 21*q(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0 from 436.\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.3, 4, 3, -14154?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -763*p - 976*p - 316*p + 77*p to the form c + v*p and give v.\nAnswer: -1978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + -36 + (13 - -4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g\/g**(-25)*g*g*g**33 assuming g is positive.\nAnswer: g**62","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1*2 + 348\/203.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 215348417*s**2*w**2 - 77461800*s**2 wrt w.\nAnswer: 430696834*s**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19 + -11 + -2 + 8 + 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 + h - 1. Suppose -5*x = 25, j - 2*j + 23 = -4*x. Suppose m + 1 = p + 2, 0 = j*m - 5*p - 11. What is v(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 79742738?\nAnswer: 2, 47, 61, 13907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 490 is divided by 192?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b = 109.6 + -109.9. Let j = 1.6 - 11.6. What is the fourth smallest value in 0, 5, j, b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 555.553289 - 555.46. Let o = b - 0.0532935. Let z = 0.04 - o. Round z to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -11222112 - -221?\nAnswer: -11221121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let 2*y**2 + 7466*y + 67032 = 0. Calculate y.\nAnswer: -3724, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 2*s = -8, b = -3*b - s - 19. What is the tens digit of (-17 - 2)\/(2\/b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 7843\/14 - 560. Let k be -7 + 14488\/2016 - 4\/18. Let g = k - m. What is the nearest to g in -1, -1\/2, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18956883?\nAnswer: 3, 11, 41, 14011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 32311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add 1.4901239318 and 5.\nAnswer: 6.4901239318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -349*o**3*p + 4495*o**3 + 5*o*p**3 with respect to p.\nAnswer: -349*o**3 + 15*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 2*o. Suppose -16 = -2*s - 2*x, 5*s - 8 = 5*x + 12. Let f(w) = -5*w - 3. Let q(c) = 19*c + 11. Let p(j) = s*q(j) + 22*f(j). Determine a(p(l)).\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1b1 - -18a?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -1\/9, 2, -3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j - 6*j - 5*h + 3060, -h = 0. Is 45 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8758 is divided by 461.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 576.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 1, s: 4, g: 1, h: 6, f: 3}. Give prob of sequence gss.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-2)\/(-9))\/((-5)\/(-15)). Let x be (-1)\/((-4)\/32 + 21\/(-56)). Factor 0 + 2\/3*m**x + o*m.\nAnswer: 2*m*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 289869700 to the nearest one million.\nAnswer: 290000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 749341 is divided by 156.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b - 2 + 4 + 0)*(4*b**3 - 3*b**3 + 2*b**3).\nAnswer: -6*b**4 + 6*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (3*sqrt(20) + sqrt(20))\/sqrt(10).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2441 = -5*t + 8791. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-8) + -3 - 178633\/(-71442). Let c = q + 362245\/173502. Find the common denominator of 2\/2 + (-154)\/20 and c.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 14*f - 9. Let n(d) = -d**3 - 3*d**2 + 5*d + 2. Let a be n(-4). Let h(v) = 14*v - 9. Let w(g) = a*i(g) + 3*h(g). Differentiate w(u) wrt u.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 1245567596 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 231 or 218?\nAnswer: 231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - -1011111?\nAnswer: 1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (34*x**2 + 15*x**2 - 8*x**2)*(x + 0 + 0).\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -20276, -40557, -60838?\n\"Answer: -20281*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*s**2 - 3*s**2 - s**2 - 24*s**2.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -2*v. Let o(w) = w**2 + 2. What is o(x(z))?\nAnswer: 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 41445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3892905 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 365097 + -1274.3491?\nAnswer: 363822.6509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 2.05179 - 26746.\nAnswer: -26743.94821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 187 - 615 = -4*r. What are the prime factors of r?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0\/(-1 - -2))\/1. Solve -2*v + 6 = 0, i = -5*d + 3*v + 3 - 22 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (17 - 15)*7\/(-2). Let c(n) be the second derivative of -n**3\/3 - 4*n**2 - 72*n. What is c(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3133*c**2 + c**3 + 6344*c**2 - 3164*c**2 + 1 + 12*c + c**3 to the form t*c**2 + r*c**3 + j*c + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*a**2\/3 + 41352530*a\/3 - 3446044.\nAnswer: -2*(a - 5169066)*(4*a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*p = -40734 - 31554. What are the prime factors of p?\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(3 + (-6*sqrt(19)*2 - sqrt(304)*3 - (sqrt(57)\/sqrt(3)*-3 + -3*sqrt(19)*-1))**2).\nAnswer: 65682","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 43 + -76. Let m be t\/2*(-16)\/6. Suppose -8*r + 4*r = -m. What is the highest common factor of r and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5468*p + 2332*p - 517*p - 2250*p to v + t*p and give t.\nAnswer: -5903","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 24010475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 z when three letters picked without replacement from fkwfwffraaaz?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2 + 2 - (-4 - 37\/(-5)). Which is the closest to 2\/9? (a) 0.3 (b) 3 (c) 4 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -5*g + 18. Let s be n(3). Suppose 3*o = 4*t + 2, -4*t - 9 = -7*t - s*o. Solve -4*v + t = d - 4, 3*v + d - 3 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10209 - -10212. Factor -2\/9*s**j + 4\/9*s**2 + 0 - 2\/9*s.\nAnswer: -2*s*(s - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 1089*g + 2264. Determine j(-2).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -10*m + 48. Calculate s(26).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 2*v**3 + 2*v**2 + 3. Let b be s(-2). Let c be 594\/(-90) + (-3)\/b. Let i(d) = 2*d + 8. Determine i(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 75254, 149126, 222998, 296870, 370742, 444614?\n\"Answer: 73872*a + 1382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 2233 (b) -0.13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c and 2 l when four letters picked without replacement from {p: 2, f: 3, l: 3, c: 7, h: 1, o: 2}?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -11*f - 37. Let b be v(-18). Suppose -25 + b = o. Is o a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v = -2*v + 10. Solve -3*h + v - 22 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n + 1. Let x be c(3). Let p(u) = u**3 + 9*u**2 - 4*u + 6. Let s(q) = 3*q**3 + 20*q**2 - 8*q + 12. Let t(h) = -5*p(h) + 2*s(h). Give t(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -27244, -29471, -31708, -33955?\n\"Answer: -5*s**2 - 2212*s - 25027","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*w + 53688 + 53384 = 53*w. Is 50 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-11)\/(-55))\/((-14)\/35). Which is the third smallest value? (a) -1 (b) 0.2 (c) h (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 93656678 is divided by 337.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 65*n + 248*n - 77*n + 289*n.\nAnswer: 525*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 14698550 and 11758840.\nAnswer: 58794200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 6 = 2*i, i - 7649 + 7695 = 3*b for b.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tall when four letters picked without replacement from lrtrarrmrralml?\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 14*f**3*w**2 + 120*f**3 - 3369838*f**2 - 120071*f*w**2 + 5*f*w wrt w?\nAnswer: 28*f**3*w - 240142*f*w + 5*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the first derivative of -z**4\/2 + z**2 + 7*z + 192. Let h(u) be the second derivative of u**5\/20 - u**3\/6 - 2*u**2 - u. Calculate -7*h(n) - 4*i(n).\nAnswer: n**3 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -63968, -63969, -63970, -63971, -63972, -63973?\n\"Answer: -j - 63967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 - -3. Suppose -2 = 2*z - 0. Let u be 195\/(-91)*(6\/10 + z). Sort 3\/5, u, x in descending order.\nAnswer: u, 3\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 10}. Give prob of sequence sss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -107 - -32?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the third derivative of -h**8\/15960 - h**7\/1140 - h**6\/570 + 32*h**3\/3 - 2*h**2 - 5*h. Let l(s) be the first derivative of k(s). Factor l(z).\nAnswer: -2*z**2*(z + 1)*(z + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of 2 + 2*q**4 + 1\/5*q + q**2 + 16\/25*q**5 + 11\/5*q**3. Factor l(y).\nAnswer: (y + 1)**2*(4*y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 11, e: 2}. Give prob of sequence eddd.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:56 AM and 7:54 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 152479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -85 - 233081*j**2 + 233071*j**2 + 82.\nAnswer: -10*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -16607 - 14021*t + 16607 in the form h*t + k and give h.\nAnswer: -14021","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes after 5:56 PM?\nAnswer: 7:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 130\/(-13)*(123\/(-15))\/(-7*(-9)\/(-63))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -49.7 - -8086280666.49?\nAnswer: 8086280616.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/9, 18, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:42 PM and 5:28 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) be the second derivative of g**3\/3 - g. Suppose 3*l + 0*q = 2*q + 67, 4*l - 92 = 4*q. Let t(d) = -21 - 2*d + l - 2*d. What is t(z(o))?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -2*p + p + 4*p**2 + 5*p**2 - 11*p**2. Let n(m) = 46*m**2 + 3*m + 37. Let l(s) = -5*i(s) - n(s). What is the second derivative of l(o) wrt o?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/q**6)\/q**(-9))\/(q\/q**(-4\/5)*q**(-4\/11)*q))**(-47) assuming q is positive.\nAnswer: q**(-4042\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 66069 and 0.064?\nAnswer: 4228.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2121031*p**3 + 1694*p**2 + 64*p + 4 wrt p.\nAnswer: -12726186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10)\/10)\/((-4)\/120*3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s**3 + 10*s**2 - 31*s - 82. Let h be l(-12). Let y = -1 - -1. Solve y = h*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 + 21 + -25 + -46.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1050 divided by -5?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1889?\nAnswer: 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add together 165378 and 63.\nAnswer: 165441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-8)\/(12\/(-3) + 3). Let z be (408\/45)\/m - (2 + -1). Let l = -2.02 + 0.02. Which is the smallest value? (a) l (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 + -13. Let p be -2 + 3 + 1 + x. Let w = -2 - p. Which is smaller: w or -4\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -194.1 times -3527\nAnswer: 684590.7","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 - ((19 - 13) + 6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 26*p + 26 = 26 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve r - 24 = 4*q, 3*q + 227*r - 230*r = -63 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -172089 or -172087?\nAnswer: -172087","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -53 - 16cb?\nAnswer: -172e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -b + 1651, 3*k + 5*b + 2269 = 606. Let p = 651 + k. Calculate the highest common divisor of p and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 10:57 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4210*d + 5 - 2880*d - 5.\nAnswer: -7090*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0\/1 + (3 - 2). Let n = -211 - -209. Let w be 14\/10 + 6\/10. Sort w, y, n.\nAnswer: n, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {w: 1, e: 1, r: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47 - 2*l**3 + 47.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3.1476 + -0.0436. Let k = -3 + c. Round k to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -142*y**2 + 610*y**2 - 479*y**2. Let w(t) = 645*t**2. What is o(w(f))?\nAnswer: -4576275*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w and 1 b when three letters picked without replacement from {r: 1, y: 1, f: 1, b: 2, w: 5}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 18075 to the power of 1\/2, to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1680 and 6510?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eceh when four letters picked without replacement from {h: 3, k: 2, c: 9, q: 4, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -9404, -18840, -28278, -37718?\n\"Answer: -t**2 - 9433*t + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 5, n: 5}. Give prob of sequence nnnl.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 4 divided by 26474?\nAnswer: 2\/13237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -30bd873 - 3?\nAnswer: -30bd876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -4*n**2 + 99*n - 85. Calculate c(23).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -0 + 4. Let a be (15\/p)\/(6\/16). Let h be 4\/14 - (-208)\/7. Calculate the highest common divisor of h and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/19, 34\/10291, -0.4, -4\/5 in descending order.\nAnswer: 34\/10291, -2\/19, -0.4, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -425\/640799?\nAnswer: -425\/640799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 4 = 2*v, v = -v + 2*m - 8. Let g = 19 + v. Let p = 14 + g. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = m + 2, 3*z + 3*m - 1 = -19 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 202 - 194. Let j be (5\/(-15))\/(-4 - (-44)\/y). Which is the nearest to 2\/13? (a) 0 (b) j (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + -10 + -1 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6110*c*k**2 + 345*c*k + 3*c + 2*k wrt k?\nAnswer: 12220*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 2*k = -4*k - 86, t - 5*k = 35. Solve -5*y + 5*r + t = 0, 0*r + 5*r - 4 = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.3 + -11.7. Let n = h + 9.5. Let i = 3 + n. What is the closest to -2\/5 in -0.4, i, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -82 + 84. Let i be 400\/90 - 2*u. Determine y, given that 8\/9*y**3 - 2*y + 10\/9*y**5 - 20\/9*y**2 - i + 8\/3*y**4 = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8319770 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 33 - 0?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1348, 2341, 5072, 10417, 19252, 32453?\nAnswer: 50896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and 872643.\nAnswer: -872643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 4 = 2*i, 2*p = i - 6*i + 14. Let w be (-23)\/5 + i\/(-5). Sort 2, -8, w in ascending order.\nAnswer: -8, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 116.8 - 104. Let p = -13 + g. Put 1\/2, -3, p in increasing order.\nAnswer: -3, p, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -151 (base 6) in base 14?\nAnswer: -4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the first derivative of 3*x**4\/2 - 1. Let h(a) = -a**3. Let v be (-9)\/3 + 1 + 2. Let q = v + 16. Calculate q*h(d) + 3*j(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16 - 24. Let q = 39 - d. List the prime factors of q.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.038 + -2.138. Let h = 1.48 + w. What is h rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = i - 2*h + 31, 18*i = -16*i + 83*i + 3*h + 105 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d - 13 = -2*g, -d + 2*g = 4*g + 5 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 4086721 + 11089255\nAnswer: 15175976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 11 * -0.31962\nAnswer: -3.51582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5224 - -7787. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 100, -14, 7 in decreasing order.\nAnswer: 100, 7, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (n + 4*n - 3*n)*(-5*n + 3*n - 3*n - 3) in the form m*n + s + i*n**2 and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 97 = j, 99 = 2*j + 5*q - 93. What is the remainder when j is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -10 - (7 - 5) - -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**3 + 16404*u**2 + 33636402*u.\nAnswer: 2*u*(u + 4101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 PM and 4:14 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) be the second derivative of -s**3\/3 - 3*s**2\/2 + 27*s. Let h(x) = 6*x + 9. Give -4*h(l) - 11*n(l).\nAnswer: -2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1341*f**4 - f**3 - 4*f**2 + f - 2673 wrt f.\nAnswer: 32184*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 412*x + 3706. Determine q(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 2 + 4)*(15*k**3 - 10*k - 4*k - 16*k**3) in the form t + m*k + y*k**3 + b*k**2 and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -401 + 624535696.2.\nAnswer: 624535295.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58648?\nAnswer: 2, 7331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -3*n**4\/2 + 84*n**3 - 2205*n**2\/2 - 1188*n = 0. What is n?\nAnswer: -1, 0, 24, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*n + 28*n - 300648 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w\/(((w*w**(3\/2)*w)\/w*w)\/w))\/(w*w**(-7)\/w)*(w*w**(1\/2)*w)\/w*w**(-5\/3) assuming w is positive.\nAnswer: w**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 848 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -257 - -153. Let s = -102 - v. Let o(k) = 2*k**3 - k**2 + k + 1. Calculate o(s).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -62*m**2 - 69*m**2 + 23*m**2 in the form l + j*m + q*m**2 and give q.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 + 8*k + 1. Let a(x) = x**2. Let f(g) = -2*a(g) - h(g). Let c be 21*(-13 + 380\/30). What is f(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2523281\/462980 + -2\/23149. Calculate the common denominator of d and 44\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10222.\nAnswer: 2, 19, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*u + 7*u + 44 = 0. Suppose -y + u*y = 90. Factor 34*v - 65*v - y*v**2 + 33*v.\nAnswer: -v*(9*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -267895 smaller than -28664673\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - -1 - (34 - 31).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 10185.67ml to litres.\nAnswer: 10.18567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(612) - (sqrt(612) + 1)) + -5 + 2 + -2 + sqrt(119)\/(-4*sqrt(21)\/sqrt(3)) + (sqrt(170)\/(sqrt(10)*-1))**2 + 3.\nAnswer: -sqrt(17)\/4 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:37 PM and 5:43 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 7.97373807 rounded to one decimal place?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 998, 2057, 3116, 4175, 5234?\nAnswer: 6293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -34835, -69705, -104571, -139433, -174291?\n\"Answer: 2*b**2 - 34876*b + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 3168 - 8595 = 4*k, 5421 = 5*j - 2*k. Let t = 3262 - j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 1 = h, -4*b + 18 = -2*h. Let y be 4 - (2 - 1) - -1. Suppose y*x - 30 = -x. Solve b*q - 1 = x*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-4)\/(-2))\/(0 - (-10)\/15). Suppose 0 = g*q - 18 - 12. Suppose -16*c + 138 = -q*c. What is the remainder when 65 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5120*t - 12 + 2550*t + 2492*t - 2*t**2 - 3*t**2 + 3*t**2 + 3*t**2 + (t**2 + t**2 + 0*t**2)*(-5 - 1 + 5) to the form a + u*t**2 + k*t and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*g = -35*g + 1952. Calculate the smallest common multiple of g and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.063 + 18.063. Is 0 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 599 minutes after 12:50 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 32 = 110. Let l = t + 40. Let h(n) = 5*n**3 - 6*n**2 + 6*n. Let v(a) = a**3 - a**2 + a. Calculate l*h(f) - 6*v(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = 9*g**3 - 7*g**2 + 7. Let t = -14 - -13. Let j be t*21\/(-9)*-3. Let p(x) = 6*x**3 - 5*x**2 + 5. What is j*p(k) + 5*u(k)?\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 397206 is divided by 318?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*c - 14*p - 258, 21*c + 5*p = 20*c - 81 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -s**3 - 154*s**2 + 79*s**2 - 8 + 19*s + 81*s**2. Let v be i(8). Solve h = -3*t + 11, -h - 5*t + v = -t for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 703.0085 millennia?\nAnswer: 7030.085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a century in months?\nAnswer: 5040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -620 - -680. What is the highest common divisor of 1128 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2938*k - 482030 = -987*k + 2134*k for k.\nAnswer: -118","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 571*d = 573*d - 3*s + 32, -3*d + 18 = s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -16 + (-7 - (5 + (1 - 5)) - -8)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19.7 + 24. Let m = n - 4.8. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) be the first derivative of -5*k**2\/2 - 2*k + 191. Let u(t) = -81*t - 33. Give -33*g(o) + 2*u(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26 + -24 - (-1 - -6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 5*u - 13. Let a be k(3). Factor 705*o + 2720*o**a + 2420*o**3 - 440*o**2 + 45 + 800*o**2.\nAnswer: 5*(o + 1)*(22*o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (16\/14)\/(340\/357)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -4 + 3\/9*0. Let i be k\/14 + 60\/14. Let g be (16\/(-28))\/(i\/(-14)). Solve 3*l = -g*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 416 = 5*l + 3*t, -t + 334 = 4*l + 2*t. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -288064580?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 373, 374, 375, 376?\n\"Answer: a + 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -90 + 84 + (11 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -2*p**3 + 2*p**2 + 1. Let z(b) = 17*b**3 - 14*b**2 + 27. Determine -9*j(s) - z(s).\nAnswer: s**3 - 4*s**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2\/9 - 314*s\/9.\nAnswer: -2*s*(s + 157)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + (2 + 0 - (11 - 11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 26175453, 52350910, 78526367, 104701824?\n\"Answer: 26175457*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (0\/(-4))\/(4\/(24\/(-6)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 - -6) + -8 - -4. Solve -5*f = 2*b - 15, -4 = -p*f - 4*f for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -123260 rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -1\/4, -1\/2861, -22, 1\/12, -4, 1\/7?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 64*m**4*t**2 - 2314324*m**4*t - 38712531*t**2 wrt m?\nAnswer: 256*m**3*t**2 - 9257296*m**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -70 (c) 0.4 (d) -37 (e) -7 (f) 11\/5 (g) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -5*f - 40, 3*p = f + 2 + 6. Let x(i) = i**3 + 9*i**2 - i - 10. Calculate the remainder when x(f) is divided by 3 - (3 - 1) - -20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 256 and 16?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -533, -534, -535, -536?\n\"Answer: -l - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + v + 24 = 0. Let b = 8 + v. What is the third derivative of 2*q**4 + 2 + 3*q**b - 2 wrt q?\nAnswer: 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 12 (b) 4 (c) -0.021 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 69 + -164 - -22 - -91.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -4*a**3 - 7*a**2 - 3*a + 4. Let v(d) = 5*d**3 + 9*d**2 + 3*d - 4. Let b(z) = 6*s(z) + 5*v(z). Let l(o) = -4*o + 1. Let k be l(1). Give b(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 8*k - 50. Let m be o(4). Put -4, 0, m in descending order.\nAnswer: 0, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 11) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f, 1 j, and 1 h when four letters picked without replacement from {h: 5, f: 4, j: 2}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -7969264.1 rounded to the nearest 10000?\nAnswer: -7970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f**2 - 25284*f + 53273388 = 0. What is f?\nAnswer: 4214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (2 + -4 - (-1 - -3) - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + -39776.\nAnswer: -39780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(6) + (sqrt(6) - (6*sqrt(6)*-3 - sqrt(6))) + sqrt(96)*2)\/(sqrt(24)\/(4*(sqrt(8) + sqrt(128)))*-6).\nAnswer: -290*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -u**3 - u**2 - 5 + 3*u**2 + u**2 - u + 4*u. What is c(4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b - m + 4 = 0, 3*m + 20 = 4*b - 0*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**3 + 4*b**2 + 5*b + 2. Determine v(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -29535457.6 to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.96 + -0.04. Let x = -9 - v. Let w = -9 - x. Sort 4, -4\/3, w in ascending order.\nAnswer: -4\/3, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -623 + 635. Solve -3 + h = 2*o - n, 14 = 2*o + 4*n for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 14 + 2 = 0. Let z be 0\/(-2) + l + 4. Let n = z - -4. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 2*n + 10, -5*c + 55 = 3*n. What is the remainder when c is divided by -2 + 1\/(2\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 184934223 from 5.\nAnswer: -184934218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*q - 34*q - 18 + 18.\nAnswer: -61*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**(-2\/9)\/f)\/f*f**4)\/(f**3*f**(-5\/3)) assuming f is positive.\nAnswer: f**(4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 42739363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = -2*x + 12. Suppose 7*h - 328 = 3*h. Calculate the common denominator of h\/8 + x\/2 and 109\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77 = 3*v + 5*d - 6*d, -2*d = -2*v + 50. List the prime factors of v.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**3 + 7*g**2 + 38*g + 22. Let j be k(9). Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1296 (base 12) to base 7\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 12839, 51339, 115497, 205307, 320763, 461859?\n\"Answer: -k**3 + 12835*k**2 + 2*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -20 + -110 + -296 + 413\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 440*t**3 - 1318*t**3 + 2 + 440*t**3 + 443*t**3.\nAnswer: 5*t**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*q**3 + 2 + 0*q**3 - 7*q**3)*(-157 + 618 + 372).\nAnswer: -833*q**3 + 1666","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-158)\/22 - (-216)\/1188.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 76 + 174. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1 - -9) + 15\/(-5). Solve -39 = -y*d - 74 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 41799101 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-three thirds of a decade in months?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -3*x**2 + 4*x - 2. Let d(n) be the third derivative of 1\/8*n**4 + 0*n + 0 - 1\/3*n**3 - 1\/30*n**5 - n**2. Let v = -2 + -2. Give v*d(y) + 3*u(y).\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00209484128 to five decimal places.\nAnswer: 0.00209","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1023680199?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 4*s + 32, -2 = q + s + 3*s. Suppose -7*r = -12*r + q. Suppose -11 - 239 = -r*y. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 52 - (-19 + (-11 - -10 - -3 - -11))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 727*j - 12355. What is h(16)?\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*j, 25*r = 20*r - 3*j - 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 44705\/536 - 2682\/67. Let 41\/2*d + 5\/2 + 63\/8*d**3 + s*d**2 = 0. What is d?\nAnswer: -5, -2\/7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the second derivative of 5*r**4\/12 + 3*r**3\/2 - 3*r**2 + 75*r. What is the hundreds digit of o(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -145 + -10615?\nAnswer: -11063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 + 27*g**2 + 28*g + 8. Let y be r(-26). Calculate the remainder when (-77)\/22*y\/7 is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.1917969 millimeters?\nAnswer: 0.01917969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be 90 - 3 - (-6 + 3). Suppose 0 = 5*i + 2*q - 58, -q = -3*i - 2*q + 34. What is the highest common factor of s and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -3*m. Let b(h) be the second derivative of h**4\/12 - 7*h**3\/6 + h. Let q(x) = -x - 2. Let t be 2*(-20)\/8 - -1. Let k be q(t). Give k*b(o) - 5*w(o).\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 142169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*d + 3*t = 9, 4*d + t + 29 - 32 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 51148 or 50620?\nAnswer: 51148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -1441, -12.\nAnswer: -1441, -12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 1106 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (1 - 2) + 10 + 2 + (-7 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4 + 6. Let f(u) = -4*u**a + 8*u**2 - 5*u**2. Let x(v) be the third derivative of -v**5\/60 - 2*v**2 - v + 224. Determine f(x(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -33067*d**2*x**2 + d - 380332*x**2 - 2*x with respect to d.\nAnswer: -66134*d*x**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 690 and 8792670.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 200200000012 (base 3) to base 14.\nAnswer: 97c85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 e when three letters picked without replacement from cuwunewe.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*((-3 + 1 + 4)*(0 - 3 + 4) + 0 - 1 + 3 + 4 - 1 - 1 - 3 + 3 - 1)*(-5*l**5 + 7*l**5 + 17*l**5) + 0*l - l**5 + 0*l.\nAnswer: -96*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3 + 6*g - 10*g**3 - 3 + 10*g wrt g.\nAnswer: -60*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 2*h - 3. Let m be g(4). Let q be 3*(8\/5 - 2)*(-6545)\/714. Sort q, m, -3, -5.\nAnswer: -5, -3, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 63225.15 months?\nAnswer: 52.687625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-3)\/(-3))\/(4\/12). Let p(g) = -24 + 10*g**2 + 71 - 3*g**2 - 25 - g**i + g - 24. Determine p(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3432 and 63448?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 50256981.0000052 + -50256958. Let s = -44 + 67. Let n = y - s. What is n rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0, -0.06, -2\/7, -7\/25, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43, -93, -143, -193, -243, -293?\nAnswer: -343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 49401 is divided by 591?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 16*v**2 - 20*v - 12. Let h = 258 + -263. Let m(g) = 11*g**2 - 13*g - 8. Let s(j) = h*i(j) + 8*m(j). Find r such that s(r) = 0.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**1\/h**11)\/((h**(2\/23)\/h*h*h)\/h*h*h)**(5\/2) assuming h is positive.\nAnswer: h**(-350\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 62755 - 62750. Let o(z) be the third derivative of -z**5\/30 + 3*z**4\/8 - 3*z**3\/2 - 4*z**2. Calculate o(a).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 + 6*k**2 - 2*k + 3. Let w be p(-6). Suppose 0 = -y - w + 11. Let v be (-4)\/y - 4 - -8. What is the highest common factor of 35 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7170 + 1429. What are the prime factors of t?\nAnswer: 8599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14436 + 2529 = -600*a - 16160 + 2525 for a.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13 and 325.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -i**3*m + 3*i**3 - 15*i**2*m + 472*i**2*u - 32*i*m*u wrt m?\nAnswer: -i**3 - 15*i**2 - 32*i*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*b + 60 - 20. Suppose b = -4*m + 8. Is 22 a factor of 270\/2 - (m + 4 + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1\/4*1)\/1. Let t = -8 - -5. Let g be 0 + (t - -3) + 1. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 14 or 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -1625 < 0.023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*v + 5, 18 = -3*t + 2*v. Let g = 1 - t. Suppose g*l = 188 - 18. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:32 PM and 6:28 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-6)\/(1 + 0 + -2). Suppose g - 11 = 2*k, 2*k + 2*g + 7 + 1 = 0. Let p = k + c. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*k**3 - 5*k**2 + 5*k**2)*(3*k - 7*k + 3*k) + (3 - 3 - 2*k**2)*(-3*k**2 - k**2 - k**2).\nAnswer: 15*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqrqqrrzrzrrr. Give prob of sequence qzr.\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be -9*((-56)\/12 - -4). Suppose -508 = -d*w - 130. Is 7 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 4471.22957 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -3*c**2 - 4*c - 4. Let y(f) = 5*f**2 + 7*f + 7. Let p(w) = -7*q(w) - 4*y(w). Let s be (-60)\/(-9)*24\/10. Let g(t) = -s + 2*t + 16. Calculate p(g(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 17099*w**6 - 2578*w**2 wrt w.\nAnswer: 2051880*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16 - 52 - (-781 + 666).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4 + 6 - (0 + 3). Let p(y) = y**3 - 8*y**2 + 7*y + 2. Let t be p(v). List the prime factors of (14 - 6)*t\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*g - 12*g + 5 = 1. Put 0, -2, 2, 5, g in descending order.\nAnswer: 5, 2, 0, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 346145 is divided by 168335?\nAnswer: 9475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 34*n + 104. Let t be u(-3). Suppose 4*s = -t*b + 54, -4*b - 10*s + 13*s + 64 = 0. Calculate the remainder when 53 is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 236887.3 days in hours?\nAnswer: 5685295.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 14.5 - 14. Let a = -0.13 - 11.87. Let i = -12.2 - a. What is the nearest to i in -4, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5.25 + 0.25. What is the second smallest value in f, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 7.85162 to one decimal place.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Total of 102924720 and 2706.31.\nAnswer: 102927426.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (3\/(-2) - -1)*-6. Solve -r*o = 8 - 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -13*c**2 - 2 - 9*c**4 + 6*c**4 + 6*c**4 - c**3 - c**4 - 2*c to v*c**3 + j*c**2 + l + n*c + u*c**4 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -2*m - 1. Let p(t) = 2*t**2 - 8*t - 10. Let d be p(5). Let f be w(d). Let h = 3\/4 + f. Put 2\/9, h, 4 in increasing order.\nAnswer: h, 2\/9, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(3645) - (sqrt(3645) + 0 + (sqrt(3645) + 1)**2) - (sqrt(3645) - ((sqrt(3645)*-1)**2 + 2)))*4.\nAnswer: -20 + 1620*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 4*2\/16*10\/(-2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) be the third derivative of -b**6\/360 - 11*b**3\/3 + 27*b**2. Let y(j) be the first derivative of v(j). Let t(f) = 18*f**2 + 2*f. Calculate y(t(a)).\nAnswer: -324*a**4 - 72*a**3 - 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -2*w**3 + 7*w**2 - 7*w - 16. Let v(i) = i**3 - 3*i**2 + 3*i + 7. Let u(a) = -4*b(a) - 9*v(a). Factor u(r).\nAnswer: -(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(sqrt(119)*-3 - sqrt(119)) - sqrt(119))\/(((sqrt(70) - sqrt(70)*-1) + sqrt(70))\/sqrt(10)).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3\/5, 8, -3\/16, 0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1, -0.3, -53, 2\/15, 6128?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 142476 and 1581?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-18 + 5 - 1 + (0 + 3 - 4)*(6 - 3 - 2))*(l + l - 3*l).\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 38\/53557 and 46\/309239.\nAnswer: 337998227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (-6 + (-159)\/(-15)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p**2 + 47*p - 99. Let h = -7084 - -7105. Give n(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -5*r**2. Let h(l) be the first derivative of -11*l**4\/12 + 131*l**2\/2 + 174. Let p(n) be the second derivative of h(n). Determine p(m(v)).\nAnswer: 110*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 13468323 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*r + 3*r - 9. Let s(f) = f**3 - 3*f**2. What is s(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**2 + 4*u - 1. Let z(x) = x**2 - 1. Let k be z(2). Let q be n(k). Let c(o) = o**2 + 2*o + 3. Let s be c(-2). Which is bigger: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (8*k + 7*k**2 - 8*k)*(-36*k**3 + 7*k**3 + 16*k**3) + (-2*k**3 - k**3 + k**3)*(-k**2 + 0 + 0).\nAnswer: -89*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2 + -2. Let n = 55 - 52. Suppose 196 - 172 = n*d. Sort -1, k, d in increasing order.\nAnswer: k, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -a**3\/5 + 12*a**2\/5 - 29*a\/5 - 42\/5 = 0. What is a?\nAnswer: -1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = -5*z - 1. Let s(i) = -i - 1. Let c(l) = -n(l) + 4*s(l). Suppose 3*b + 4 = 4*b. Let m = -1 + b. Give c(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the first derivative of -13*r**6\/6 - 5*r**3\/3 + 28. Find the third derivative of j(d) wrt d.\nAnswer: -780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -6465 (b) -2\/17 (c) 1\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1557914 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -288, 3, -26, -4 in descending order.\nAnswer: 3, 1, -4, -26, -288","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 2 - 8 - 3*m + 0*m + 4*m. Determine x(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244 (base 6) in base 3?\nAnswer: 10201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-84)\/(-8) - 1\/2. Let u = -14 + z. Let g(d) = 2*d - 2. What is g(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 2*p**2 - 6*p**2 + 3*p**2. Let a(y) = y**2. Give a(x(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - (-362)\/90) + (-2)\/(-10).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rhhhhhhhhhhh. What is prob of picking 4 h?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 262 is divided by (16\/10)\/(444\/3330).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aazz when four letters picked without replacement from {a: 2, z: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be 18\/12 + ((-76)\/(-8) - 4). Let v = 89 + -26. What is the greatest common factor of v and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1199417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/(q*q**(-24)*q)))\/(q\/(q\/q**(-23)*q)))**(1\/78) assuming q is positive.\nAnswer: q**(1\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 3006893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10461?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 204676 is divided by 1651?\nAnswer: 1603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 56 and 5432.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -43*h - 470. What is the smallest common multiple of 6 and i(-48)?\nAnswer: 4782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 816 and 648.\nAnswer: 22032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -34*c**2 + 500*c + 147. What is y(15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -2*m + 2*s - 5, 0 = -m + 2*s - 10. Suppose 3621 = 2*a - x, 5*a - x - 2*x - 9053 = m. Round a to the nearest 100.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 + g**2 - 7*g - 17. Let k be t(7). Let n = k - -592. Is 29 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 838 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 16\/181 and -22?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p = -3*p - 15 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 111971 is divided by 2431.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -18 - (-14 + -7 + 15) - (2 + 7)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 34598, 69118, 103496, 137660, 171538, 205058?\n\"Answer: -12*c**3 + c**2 + 34601*c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -81\/4973924 and 91\/12?\nAnswer: 14921772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 2*((-9)\/((-72)\/16))\/(-8)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 14287 - 78*n**3 - 14287 + (4*n**2 - 4*n**2 + n**2)*(n - 3 + 3) - 2 + n**3 + 2.\nAnswer: -76*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*d - 49*d - 7*d + 263340 = 0. What is the thousands digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let w = 14 - -6. Suppose p = -4*p + w. Solve -u + 16 = -5*y, 4*y = p*u - 14 - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 304200917 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*a = 7*r - 24, -41 = -r - a - 11 - 23 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1899 is divided by 237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 63112 is divided by 38?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = -114 + 206. Let i be (0 + 2\/(-3))*2*15. What is the remainder when z is divided by 6\/15 + (-612)\/i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -335221.2 - -335221. Let d = -0.3 + -0.1. Sort t, -1.9, -3\/4, d.\nAnswer: -1.9, -3\/4, d, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7190000 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 6773\/2 + -13911\/4. Let k = -92 - m. Let u be (-4)\/(-1) + 1*-6. Which is bigger: k or u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = -2*y**3 - 5*y + 42. Let h(u) = 3*u**3 + 6*u - 41. Give -6*g(v) - 5*h(v).\nAnswer: -3*v**3 - 47","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fkkkpk. What is prob of sequence pk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -78*v + 78*v + 134*v**2 - 135*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000004719971 rounded to seven dps?\nAnswer: 0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.306558125 - -18017.\nAnswer: 18017.306558125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 63*h*j**2*s - 4*h*s**2 + 2*h - 3*j**2*s**2 - 2*j**2 wrt s?\nAnswer: -8*h - 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + -8. Let a = 12 + o. Solve r - a = 3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (o - o - 3*o**3)*(4*o + 0*o - 2*o)*(7 - 2 + 0).\nAnswer: -30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -11200100 (base 3) to base 12.\nAnswer: -1b83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*v - 3*m + 8*m + 373, v - 96 = 4*m. What is the least common multiple of 11 and v?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 + 7*r + 10. Let j be g(7). Let s be 1\/3*(-15)\/j. Let u = 35\/17 - 909\/425. What is the biggest value in s, 0.3, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + s + 132 = -5*f, -4*f - 132 = 3*s. Let d = -23 - f. Let p = 32 - d. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(3\/5)\/k*k)\/((k\/(k*k**(-1\/7))*k)\/k))**(-38)*(k\/k**(2\/3))**(-1\/4)\/(k\/((k\/(k*k\/k**(2\/3)))\/k)*k)**(9\/2) assuming k is positive.\nAnswer: k**(-13631\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2538 and 24602714?\nAnswer: 664273278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/(-6)*6\/(-3) - -5. Let b = -689 + 3433\/5. What is the second biggest value in 1\/8, b, x?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 85 divide 339219218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 6041 = -9*o + 6032 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-35*(-352)\/4620)\/(20\/(-375)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -84685*l. Let p(r) = -3016*r. Determine w(p(c)).\nAnswer: 255409960*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 + 1. Let m = 45.9 + -46. Let z = m + 1.1. Is z smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3325, -3324, -3323, -3322?\nAnswer: -3321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*x**2 + x**2 + 5*x**2)*(3*x + 0*x + x) + (-x**2 + 4*x**2 - x**2)*(0*x - x + 3*x) to the form q + w*x + r*x**3 + u*x**2 and give r.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -1631 = -534*n + 4777 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 1.8339632 to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + (sqrt(13) - (-1*sqrt(130) - sqrt(130))\/sqrt(10)) - sqrt(91)\/(3*(sqrt(7) - sqrt(7)*-1))) + 3.\nAnswer: 5 + 17*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = l**3 - 5*l**2 + 3*l - 4. Let c = -25 - -35. Suppose s + s = c. Suppose s = 2*d - 3. What is g(d)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8182.7106+-5\nAnswer: 8177.7106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1649505 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 45330 + -13055?\nAnswer: 32231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 852*x + 53444 = 856*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is b - -1531?\nAnswer: 153c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((14 - 8\/2)\/4*8514\/495)\/(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the third derivative of -21*h**4\/4 - 4*h**2. Let i(j) = -134*j - 133*j - 138*j - 142*j + 548*j. What is a(i(c))?\nAnswer: -126*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be -7891449*(-5)\/3570 + (-2)\/(-7). Let n = o - 11051. Calculate the common denominator of 39\/4 and n.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s + 793 = -7*s. Let f = 61 + s. Solve c = 2*p - f*p + 8, -5*c = -2*p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2\/12219 or -8?\nAnswer: 2\/12219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify x*x**1*x*x**(1\/26) assuming x is positive.\nAnswer: x**(79\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*v**2*z - v*y**3*z + 8*v*z + 47*y**3*z wrt v.\nAnswer: -4*v*z - y**3*z + 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1.314664 centuries?\nAnswer: 1577.5968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 24, 1, -5, -2 in increasing order.\nAnswer: -5, -2, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**3 - 4*b**2 - 11*b - 2. Give v(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 2\/7, 1, -19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.034 + 4.034. Let o = 0.4 + 0.6. What is the third smallest value in o, z, 1\/3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.4723727l?\nAnswer: 472.3727","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(7\/4)*q\/(q\/(q*q**0*q*q)))**(-28\/9))**(2\/37) assuming q is positive.\nAnswer: q**(-266\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 155 - -2?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 d when two letters picked without replacement from {g: 5, h: 5, d: 1, i: 3, n: 2}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -997, -528, -59, 410, 879, 1348?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6766 and 13731?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 2*f**2 - 173*f**3 + 3*f**4 + 349*f**3 - 175*f**3 + 3*f in the form u*f**2 + i*f**3 + s*f + r*f**4 + n and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10231 + 10233. What is the fourth smallest value in y, -15\/7, 31\/2, -0.4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 5*z + 8. Let r(q) = -q + 1. Let y(w) = m(w) + 6*r(w). Let j = -150 - -163. Give y(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1 - -122020220111211121?\nAnswer: 122020220111211120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2616918819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 244965218?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a kilogram in grams?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -50 * -127.70635.\nAnswer: 6385.3175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -127\/3480 and -109\/6.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express c - c**4 - 9 + c + 32*c**3 + 0*c**4 + 255*c**2 - 256*c**2 - 29*c**3 as g*c**4 + t*c**2 + v*c + m*c**3 + r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 16*o + 3. Let c(t) = -33*t - 6. Let g(r) = 2*c(r) + 5*f(r). Let n be g(3). Let w be (-2)\/(-4)*30\/3. What is the highest common divisor of w and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 191 is divided by (-7)\/(7843\/990 + -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*i**3 + 501*i**2 - 582*i + 39 = 0 for i.\nAnswer: -13, 1\/14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 133 - 6385\/48. Let h(b) = -b**2 + 8*b + 32. Let r be h(11). What is the closest to 0.1 in r, 4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1136, 523, -498, -1927, -3764?\n\"Answer: -204*y**2 - y + 1341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 5960131 to the power of 1\/3, to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1474579?\nAnswer: 1474579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 - 8*h - 5. Let c be l(-7). Solve -c*r + 3 = r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 8 - 42632?\nAnswer: -42624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 16 - 14.6. Let x = c - 0.4. Let z = -5.05 + 0.05. What is the biggest value in -4, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = z - 5, 4*z - 6*z + 10 = 3*l. Suppose -3*q + 0*q + 15 = l, 0 = 3*x - 3*q + 15. Suppose 4*c = -x*c + 25600. Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.0254*-0.3\nAnswer: -0.00762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-22)\/(-8) + (-3)\/4. Factor 0*k + 1\/6*k**l - 1\/6.\nAnswer: (k - 1)*(k + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*j + 2*o - 20 - 0, 3*j + 10 = 5*o. Solve j*y + 17 = 2*b, -5*y = b - 6*b + 20 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -70691 + 70691 + 14*c**2.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/((-3)\/(-5)) + 43040\/120. Suppose -3*q = 3*p - l, -5*q + 253 = 7*p - 5*p. Calculate the greatest common factor of 57 and p.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42320067.\nAnswer: 3, 14106689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/6 - 2\/12. Suppose 3*r + d*w + 2*w = -6, 2*r + 3 = -w. Let j be 2\/12 + -2 + 3. Is j less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 870 (base 12) in base 2?\nAnswer: 10011010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the third derivative of -x**4\/12 + 8*x**3\/3 - 14*x**2 - 1. Let q be t(10). Which is the closest to 2\/7? (a) -8 (b) q (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-164)\/8)\/(-1)*20\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + 244 + 302 = 278*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 200883 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is b in b**4\/3 + 49*b**3\/3 + 814*b**2\/3 + 1668*b + 2376 = 0?\nAnswer: -18, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:31 PM and 4:50 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 112*h**2 - 59 wrt h?\nAnswer: 224*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o - 27 = 3. Let k(n) = n**2. Let m(p) = -5*p**2. Let t(z) = o*m(z) - 25*k(z). Let y(s) = -2*s. What is y(t(j))?\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = -4*q - 1. Let b(n) = -2*n - 1. Let f(x) = 5*b(x) - 3*v(x). Let h be 6*(-7)\/7 - 1. Let t(m) = 4*m - 3. Give h*f(y) + 4*t(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-88 + 55 - -117) + 1?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 7 = -9. Let g(u) = -2*u**2 - 2*u + u**3 + 18 - 2*u**3 - p. Suppose -3*k = -2*k + 2. What is g(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/15456 and 31\/33132288?\nAnswer: 762042624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 684069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from axifazx. What is prob of sequence ai?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -3.753, 1, 1\/5 in increasing order.\nAnswer: -3.753, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 50775936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-18)\/(-81)*((-615)\/30)\/41?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/7, -1146, -5, -0.5, -4, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-255*(-22)\/1056)\/(1\/(-4)). Which is bigger: -1\/9 or o?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-9)\/207 + (-360)\/1242. Which is the fourth biggest value? (a) 1 (b) -4 (c) -1\/208 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 811*k + 3244. Let d be y(3). Round d to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-12))\/(583\/(-13992)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -49\/10 and -26\/35935?\nAnswer: 71870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6.9 - 72.1. What is the biggest value in p, 4, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/35)\/((13 + 2)\/105).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -122 - -525403?\nAnswer: 525251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -29*h + 3417 + 1165. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -12330*c + 3020893. What is i(245)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 15*g - 32. Is h(17) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffeteeftef. Give prob of sequence tf.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = p**3 + 9*p**2 - 8*p + 2. Let t be d(-10). Let x be ((-3)\/(-2))\/(t\/(-24)). Solve 3*r + 8 = 2*f, 2*f + 2*f + 16 = -x*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13*f**2 - 3068*f**3 - 3 + 6130*f**3 - 3064*f**3 + f as a*f**2 + z*f**3 + r*f + v and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 96 = -4*p + 8*v, 0 = 5*p + 2*v - 92. Calculate the least common multiple of p and 2\/(4\/(220\/5)).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 4.2 + -4. Let j = h - 0.20000001. Round j to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 47*b + 360*b = -17433 - 14720 for b.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7100*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) be the second derivative of 0 + 0*s**2 + 1\/5*s**6 - s - 1\/2*s**7 + 21\/20*s**5 - 1\/2*s**4 + 0*s**3. Find c, given that q(c) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**3 - 12*a**2 - 3*a - 23. Suppose -12*c - 256 + 64 = 4*c. Calculate n(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**2 + 6*u - 6. Let v(m) = -3*m**3 + 7*m**2 - 16. Let x(d) = -4*d**3 + 6*d**2 - 2*d - 16. Let z(h) = -5*v(h) + 4*x(h). Let n be z(-10). What is q(n)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 18*w**2 - 469*w - 2649. Calculate d(-5).\nAnswer: 146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -105 + (-2 - -51) + 71\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 72 and 45702.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19912*z - 39841*z - 24*z**2 + 19929*z + 21*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 443 a factor of 14034106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12\/(-21)*516\/(-6192).\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -7, 4, -1.9, -20?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(84) - 2*sqrt(84)*-4 - (sqrt(84) - 2*(sqrt(84) - 1*sqrt(84))))\/((sqrt(12) - sqrt(240)\/sqrt(5))*-3).\nAnswer: -16*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11 + 14*z**2 - 510*z - 11 - 15*z**2 to the form r*z**2 + d + l*z and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = 3*w + w + 4*l, -2*l = -34*w + 39*w + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 108 + -104. Is 54645\/45*(-1 + r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/11)*o**(2\/11)*o)**(1\/43) assuming o is positive.\nAnswer: o**(1\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 31.53583 decades in months?\nAnswer: 3784.2996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.123 and 0.2.\nAnswer: 0.0246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -56. Calculate the remainder when 186 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**3 + 6*d**2 + 2*d - 8. Let w be u(6). Suppose -2*v = -4*p - 2 - 50, 0 = -w*v + 3*p + 79. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (410\/(-656))\/((-1)\/((-8)\/2))\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z, 1 n, and 2 m when four letters picked without replacement from {m: 2, z: 4, c: 1, n: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = -2*u**3 + u**2 - 1. Let p(k) = -10*k**3 + 6*k**2 - 4. Calculate 11*i(b) - 2*p(b).\nAnswer: -2*b**3 - b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 84 = -2*s + 3*z, -z = 3*s - 76. Let h(b) = 54*b**2 - b - 2. Let g be 3*2*2\/(-6). Let c be h(g). Calculate the greatest common divisor of s and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.0846722 * 0.39.\nAnswer: 0.033022158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -140aa (base 13) to base 3\nAnswer: -1220102111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 20437 - -111?\nAnswer: 20550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 16\/15 + -7\/5. Which is the nearest to x? (a) 1 (b) -4\/7 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 77 and 107.5356723.\nAnswer: 184.5356723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 10 + -8. Suppose 2 + j = z. Let k = z + -2. What is the remainder when 5 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 3*g + 5*g - 24*g + 12*g + 6*g. Let m(s) = -4*s**2 + 81*s. Give m(i(d)).\nAnswer: -16*d**2 + 162*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 142 and 41038?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 195*t - 52 = -247 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by 377256629.\nAnswer: -3\/377256629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 167846271 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 6 + 5 - 11 + 8*i as v*i + s and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*f - 10212*f**2 + 43 + 10212*f**2 - f**4 + f**3 to p + v*f + u*f**2 + k*f**4 + g*f**3 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - q = 15, 2*i - 5*q = i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 357 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*g - 16*g + 112 = -x, g + 23 = 4*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000299 to seven decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1215018 and 16?\nAnswer: 9720144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-88)\/(-33) - 2\/3. Suppose -3*o + g*o = 3*v - 133, -2*v + 2*o = -78. Is v a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in -2\/7, -5\/2, 20, 1\/10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -28*c**2 - 3*c - 32. Let r(a) = 27*a**2 + 3*a + 32. Let x(w) = 5*g(w) + 6*r(w). Does 7 divide x(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 474 minutes after 11:22 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (97 - 147 - 185)*(-2*k - k - k + 5*k - 19).\nAnswer: -235*k + 4465","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2292370 (base 10) in base 7?\nAnswer: 25325203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g, 1 w, and 1 q when three letters picked without replacement from wgqgggqqg?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1858 divided by -929.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9149514 is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -252 + 256. Suppose k - 6*k = -2*z - 110, -4*k + z = -85. Suppose 0*w = -a*w + k. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 4, h: 3, x: 2, q: 6, y: 1, o: 3}. What is prob of picking 2 x?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 386 - 384. Suppose 0 = -a*g + 2*v + 694, -3*g + 1033 = -0*v + 5*v. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 7588 - 56183?\nAnswer: -496a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*g - 202*g - 7990 = 292*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 286 - 3*f**4 - 295 - 8*f**4 with respect to f.\nAnswer: -44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 138 and 785427?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2\/28769 - 16225706\/143845. Let m = a + 112. What is the closest to -3 in 2, 2\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor c**3 + 346*c**2 + 29580*c - 60552.\nAnswer: (c - 2)*(c + 174)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a minute in seconds?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -3*g**3 - g**2 - 2*g - 2. Is m(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -6*l**2 - l - 7. Let z(t) = -3*t**2 + t - 8. Let q(j) = -j**2 - j + 1. Let d(s) = 2*q(s) + z(s). Determine -5*d(y) + 4*m(y).\nAnswer: y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 78 is divided by (-20 - -16)*25\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 838 - 1518 = 340*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*n - 1 + 1)*(35*n**2 - 12*n**2 + 3657 - 3659).\nAnswer: -69*n**3 + 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -1102*0.047\nAnswer: -51.794","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 - k + 4. Let n(f) = -3*f**2 - 3*f + 9. Let h = 2031 - 2024. Give h*r(i) - 3*n(i).\nAnswer: 2*i**2 + 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1165661880 to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) be the third derivative of 0 + 0*k**3 + 1\/8*k**4 + 0*k + 3\/40*k**6 - 1\/70*k**7 + k**2 - 3\/20*k**5. Find g such that b(g) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 52 (b) 120 (c) 1047\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1172531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {k: 5, f: 2, b: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-1)\/(-2))\/((-14)\/56). Let r be (-50)\/s - 4 - -1. Let l be r + (-4 - (-4 - -2)). Solve -l = 4*o + o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 501903.\nAnswer: 3, 29, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 2 = 2*w - r, 0 = 2*w + 2*r - 6. Let z(k) = -k**2 + 9*k + 1. Let t be z(9). What is the highest common divisor of t and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 314 is divided by (3 + 92)*(12 + -10)?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (280\/(-112))\/((-10)\/24). Solve 39 - 15 = -r*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 392\/10080*36 + 36\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 39431748 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one fifth of a decade?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 48027 by 10.\nAnswer: 48027\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 178316737 to the power of 1\/2, to the nearest integer?\nAnswer: 13354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 6321 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 3*o + 2*o - 6*o - o - 3 as y*o + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 0.3 at most as big as 67783919?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -97 (base 15) to base 13\nAnswer: -ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-277 + 277 + 111*k**3)*(-3 + k + 3 + (-7 - 12 + 10)*(-k - 2*k + 2*k)) to the form w*k**3 + m*k + n + b*k**4 + h*k**2 and give b.\nAnswer: 1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2914*f + 3*h = 2915*f + 50, 0 = 9*f - 2*h for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is f in 5*f**2 + 3652410*f - 200897675 = 0?\nAnswer: -730537, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 5, h: 4, p: 3}. Give prob of sequence phh.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = 4*b + 108, 0*b + 4*p - 104 = 4*b. Calculate the least common multiple of 14 and b\/(9\/(-12)*2).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 393, 391, 401, 429, 481, 563, 681?\n\"Answer: f**3 - 9*f + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dcdd when four letters picked without replacement from {c: 2, d: 10}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-9))\/(21\/(-36))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32643782.\nAnswer: 2, 16321891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 6528419.1s?\nAnswer: 10.79434375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/5 + (-532)\/10. Suppose 18*y + 243 = -5*n + 17*y, 0 = -4*n + 5*y - 177. Let s = i - n. Which is the nearest to 1\/3? (a) s (b) 0.3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1 - 3*(-4)\/4 and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7788940 (base 10) in base 15?\nAnswer: -a3cc7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 1893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 6*w + 49. Let t be f(3). Let a(b) = -12*b**2 - 4*b + 3. Let d be a(2). Let z = t + d. What is the remainder when 41 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*v - 6*v + 3*v + 53 - 6*v.\nAnswer: -9*v + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 172 = -4*h, -4*h - 47 = b + h. Find the common denominator of 71\/2 and 18\/24 - 41\/b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 237 = 3*g, 0 = 2*g - 3*i + 65 - 222. Let d be (-3)\/9 - (2 - g\/6). Solve -2*y + d = w, -6*y + 2*w + 23 = -y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 433808978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*x - 9*x - 8*x - 2*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 121321041*a*d**4*q**2 - a*d**2*q**2 + 170*a*d**2 - 6*a*d + a*q + 3*a - 1446*d**2*q wrt d?\nAnswer: 2911704984*a*d*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, f: 11, u: 1}. Give prob of sequence rrf.\nAnswer: 11\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 + p. Let d(b) = -10*b**2 - 2*b + 1. Determine 2*d(c) - 18*r(c).\nAnswer: -2*c**2 - 22*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*q = -7*q - 66. Solve 10*n**4 + 127*n**3 + 48*n**2 - 192*n**q - 8*n**2 + 15*n**5 = 0 for n.\nAnswer: -8\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 117\/27730 and -5\/2617712.\nAnswer: 13088560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-511 - 510 - 516 + 5521*g**2 + 1538)*(-3 - 2 + 0).\nAnswer: -27605*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 109327958 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**4 - 4808160*d**3 + 9616308*d**2 - 4808152*d.\nAnswer: 4*d*(d - 1202038)*(d - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -144201 (base 5) to base 3.\nAnswer: -22110202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n**2\/4 - 153*n\/4 - 159\/2 = 0. What is n?\nAnswer: -2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is (-32)\/(-336) - 1230447\/(-63) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.737326ug in milligrams?\nAnswer: 0.004737326","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 13 equal to 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 18, 28, 38, 48?\n\"Answer: 10*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -4*x + 688, -3*o - 17 = -32. Is x < 176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4 at least 9.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 3976*j**3 - 213*j**2 + 213*j + 213. Let x(l) = 75*l**3 - 4*l**2 + 4*l + 4. Give -4*w(o) + 213*x(o).\nAnswer: 71*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -8.8 rounded to zero decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -10*m**3 - 4*m + 3. Let l be w(1). Which is smaller: l or -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 23608 (base 9) in base 7?\nAnswer: 64034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**3 - 9*z**2 + 14*z - 30. Calculate the remainder when 87 is divided by v(8).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 3\/40 of a second?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 54795 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 433\nAnswer: -5\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -6 + 3. Let b = m - -7. Let k be (-6)\/8 + (-4)\/16. Sort b, k, -2 in descending order.\nAnswer: b, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 25*g. Let k(s) = -64*s**2. Give x(k(d)).\nAnswer: -1600*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4302.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -3307*u + 1139. What is the hundreds digit of d(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - (-6 + 6 + -3 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (-28 - -13 - -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33 = 5*m - 2*f, 0 = m + 2*f - 0*f - 3. Let v(h) = h**2 + 4*h - 2. Calculate v(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 23\/3 of a decade?\nAnswer: 920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -11022110021 (base 3) in base 15?\nAnswer: -1a24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -32 + -262. Let o = f - -293.52. What is the third biggest value in 3, o, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 9*m**2 + 4. Let w(i) = -8*i**2 - i - 5. Let k(p) = -5*u(p) - 4*w(p). What is the second derivative of k(a) wrt a?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:15 PM and 10:22 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**3 + 5*u**2 + 2*u + 2. Let d be (0 + 2)*1*-1. What are the prime factors of o(d)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 136 = -107*r - 613 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 123*k - 130*k = 63 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 60, 140, 260, 414, 596?\nAnswer: 800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zzn when three letters picked without replacement from {k: 1, q: 8, z: 1, n: 1, v: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 329*d**2 + 328*d + 68. Give s(-1).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1138? (a) -3 (b) -9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 20 = y. Let d be (5\/y)\/((-5)\/(-20)). Suppose -d*h - o = -818, -2*h - h - 5*o = -504. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 - 7. Put 1, s, 4\/9 in descending order.\nAnswer: 1, 4\/9, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -159 - -246. Suppose 708 = 5*j + u, -2*j + u = -3*u - 292. Let s = j - t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 60 + -63051141?\nAnswer: -63051051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -514 + 517. Solve n*g - 19 = -4*d, 8*d = 7*d + 4*g - 19 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 - -5. Let v be -2 + 1 + -7 + 5. Let h be ((-148)\/48 - v)*(-3)\/1. Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 49355875?\nAnswer: 5, 31, 47, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -327*z + 323*z + 20. Suppose 0 = 3*g - 3*f - 19155, g + 4*g = -z*f + 31925. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 89416911 to the power of 1\/3, to the nearest integer?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -1 - n**2 + 0*n**2 + 3*n**4 + n - 4*n**4. Let q(r) = -5*r**2 + 5*r - 8. Let b(l) = -5*i(l) + q(l). What is the derivative of b(d) wrt d?\nAnswer: 20*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.243 times 1078065\nAnswer: 261969.795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 10*d. Let x(z) = 46*z**2 + 32719*z. Give q(x(b)).\nAnswer: 460*b**2 + 327190*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = 7*m - 5*h - 15, 6 = -5*m - 2*h. Solve m = -5*d - 12*d - 17 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w, 1 l, and 1 e when four letters picked without replacement from dwdwlddwwewllldw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10 + (-5 - -4) - (-1 - -7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 162786 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(4*(2*sqrt(8)*1 - (sqrt(320)\/sqrt(10) - sqrt(2) - (sqrt(2)*-1 + -2)))*-2)**2*3.\nAnswer: 2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = z + 2*j - 4, 3*z - 4*j + 0 = 2. Solve n + n = -3*m + z, -m = 5*n + 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -u**2 + 6*u + 3. Let j be g(6). What is the first derivative of 5*f**j + 7 + 1 - 4 wrt f?\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2020 (base 7) in base 11?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.750607 and 0.5?\nAnswer: 0.3753035","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.9 (c) 5 (d) -4 (e) -281 (f) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 16) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 39*o**2 + 2*o + 1. Is 17 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 320144052 (base 6) to base 5.\nAnswer: 2414100301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide (5*4848\/180)\/((-4)\/(-144))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 52*b**2 + 41*b - 2. What is the remainder when 39 is divided by i(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 187 is divided by 150.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 21 - 20.9. Which is smaller: a or -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59*o = 2*o + 26*o - 2697. Solve 9*q + 14 = -o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from idddddiiiiitdii. What is prob of picking 3 i and 1 d?\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1177, 1173, 1159, 1129, 1077, 997, 883?\n\"Answer: -o**3 + o**2 + 1177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/5 - (-19)\/(475\/20).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8 - -4) + (-7)\/((-140)\/75). What is the second biggest value in 5\/4, 4, h, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 30376 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 226063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 489, -0.3, 0, 13, 0.012.\nAnswer: -0.3, 0, 0.012, 13, 489","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-705)\/(-940))\/(2\/8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 7:25 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 23, 38, 53, 68?\n\"Answer: 15*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 4, r: 7}. Give prob of sequence rh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 25198 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by -4784?\nAnswer: -5\/4784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 15*v**3 + v**2 - v + 1. Let q(g) = 10*g**3 + 2*g**2 + 3*g - 7131. Let j(x) = 2*p(x) - q(x). What is the first derivative of j(y) wrt y?\nAnswer: 60*y**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2024784*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**2 - 8*u. Let i be c(5). Let x be (-6)\/i + (-39)\/(-15). Solve -2*l - x = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 17790 and -3.\nAnswer: 17787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -3 + -21 + 22 + (-2 - -2 - 3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -2, 504, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 473634624.\nAnswer: 2, 3, 41, 60167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2294354868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3179 less than -0.4?\nAnswer: -0.7179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0.2, 2, -0.3, -5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 185472 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - 221020?\nAnswer: -221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 48.79 - 2.29. Let u = 46 - r. Let t = 0.3 + -0.4. What is the nearest to t in u, -2, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r\/(r\/(r*r*r\/((r*(r**0\/r)\/r)\/r))))\/((r*r\/(r\/(r\/r**(-1\/3)*r))*r)\/r))**(2\/61))**(-24) assuming r is positive.\nAnswer: r**(-80\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -11*v**2 + 29*v - 7. Let q(a) = 5*a**2 - 15*a + 3. Give 5*q(n) + 2*y(n).\nAnswer: 3*n**2 - 17*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 482 is divided by 85.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 33 = -5*z, -3*k + 0*z - 19 = 5*z. Let s be 6\/21*7 - -1*k. Solve 22 - s = 6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 117515 divided by -193\nAnswer: -117515\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) be the second derivative of 3*x**5\/4 - 5*x**2 - 17*x. What is the first derivative of u(r) wrt r?\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the second derivative of 7*h**6\/6 - 17*h**5\/2 + 20*h**4\/3 + 55*h**3 + 45*h**2\/2 - 119*h. Factor f(q).\nAnswer: 5*(q - 3)**2*(q + 1)*(7*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(-1\/3))**(45\/7)\/((x**(-2\/9)*x)\/x)**(1\/21) assuming x is positive.\nAnswer: x**(-403\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 312437 + -2?\nAnswer: 312435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -53\/601105 and 35\/20908.\nAnswer: 2404420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k + 4. Let v(c) = c - 3. Let x be v(8). Let m be p(x). What is the third biggest value in m, -0.5, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22 + 31. Which is bigger: v or -1\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10101670 is divided by 306?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -153 - 15*o - 34*o**2 + 78 + 16*o + 64 + 53*o**2 to m*o**2 + s*o + f and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find v, given that -92\/7*v**2 - 32\/7*v**3 - 16*v - 48\/7 - 4\/7*v**4 = 0.\nAnswer: -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.027793 rounded to four dps?\nAnswer: 0.0278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1828951577 to the nearest integer?\nAnswer: 1223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 - 2*q**2 - 3*q - 1. Suppose 5*x - 1282 + 368 = 2*a, x - 5*a = 192. Let l = -63 + x. Let z = -116 + l. What is s(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81736 is divided by 239?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n be (37 + (2 - 3))\/(2 + 0). Let s be 40\/n - (40\/45)\/4. Suppose -2*i + 12 = 3*v, v = s*v + 4*i - 14. Solve v*q + k - 6 = -4*k, k = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1900 - 1909. Let h(x) = 5*x - 7. Determine h(i).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 54 and 0.1932?\nAnswer: 10.4328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 311 (base 7) to base 12.\nAnswer: 10b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2781987?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 - 2*a**2 + 163*a + 64. Let g be t(12). Solve 21 - 20 = -g*f - 3*b, -b = 2*f + 3 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (0*z**2 + 4*z**2 - z**2)*(4 - 4 - 2) - 5*z**2 + 0*z**2 + 3*z**2 - 4*z + 4*z - 3*z**2 as n + b*z + h*z**2 and give h.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 31230.92 decades to millennia.\nAnswer: 312.3092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eellllllell. What is prob of picking 2 l?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - 9 = 5*x + 11, -5*n = 25. Let m(y) = 2*y**2 + y - 3. Let k be m(x). Solve -u - u - z = -1, 3*u = -k*z - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 8 + 178?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17, 37, 103, 239, 469, 817?\nAnswer: 1307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 11 + -8. Let l = t + -3. Let s = 0.1 + l. Which is the third smallest value? (a) -1\/6 (b) 5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the second derivative of 0 + 6*q + 1\/5*q**2 + 2\/15*q**3 + 1\/30*q**4. Factor p(o).\nAnswer: 2*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -121 + 186. Let w = -33 + f. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) be the second derivative of k**4\/2 - 5*k**3\/6 + 105*k**2\/2 - 77*k - 1. What is the derivative of m(f) wrt f?\nAnswer: 12*f - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 806284129 to the nearest integer?\nAnswer: 28395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes after 12:16 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 10.49 - 10.51. What is the nearest to 0.1 in -5, -0.17, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000308128 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 2 t when three letters picked without replacement from {k: 2, i: 1, c: 1, t: 4, a: 2, l: 2}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 263652229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 11 = -5*b + 10, 0 = 2*b + 4*c - 26. Let t(x) = -x**3 - 4*x**2 - 5*x - 3. Let j be t(-3). Solve 0 = -3*r + 4*d - j - 0, 0 = -b*r - 4*d - 37 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.5 + -0.8. Suppose -9*a + 180 = -12*a. Let y be 12\/a - 34\/80. Sort 2\/11, y, l.\nAnswer: y, l, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1233.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 7*w**3 + 505*w**2 + 62*w - 49. Determine i(-72).\nAnswer: 671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -144, 5, -166, 1, -13 in decreasing order.\nAnswer: 5, 2, 1, -13, -144, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than -4\/102165947?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(128) + -1 - sqrt(128)) + -1 - sqrt(128))**2*1 - (sqrt(128)*1 + 2 + sqrt(128))**2*-3.\nAnswer: 224*sqrt(2) + 1680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 6, d: 2, h: 2, i: 1}. What is prob of picking 1 m, 1 i, and 1 d?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g**3\/5 + 102*g**2 + 89127*g\/5 + 524286 = 0. What is g?\nAnswer: -73, -42, 285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1851*q - 611*q - 47141 + 47141.\nAnswer: -2462*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + g + 259 = 0, 0 = 5*r - 2*g - 149 - 282. What is the remainder when 1118 is divided by r?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 440 or 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 0.1*-201.75\nAnswer: -20.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r**2 - 18*r - 76. Calculate z(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.19 + -10.81. Let x = r + 11.5. Let d = -0.3 - -0.5. What is the closest to d in 0.1, 1, x?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1097 divide 2413400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 5441 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 22741740 rounded to the nearest ten thousand?\nAnswer: 22740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 - -75?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6384062 micrometers to nanometers.\nAnswer: 638.4062","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(425)*-3 + (sqrt(204) - 3*sqrt(204))\/sqrt(12))**2.\nAnswer: 9826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - k = -53, -z = -2*k - 2 - 18. Suppose d - 4*d = 3*u + z, d = -4*u - 15. Does 3 divide (-30)\/6 - 108\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t - 35 = 14. Suppose r = 2*s - 3, -s + 5*r = 31 - 10. Let v(d) = -t - s + 10 - 5*d. Calculate v(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 17083 + 2814. Is p a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a + 19. Suppose 14*b = 4*b + 80. Suppose 44 = 4*t - b*t. What is the smallest common multiple of m(t) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the second derivative of -w**6\/70 - 3*w**5\/35 + 11*w**4\/4 + 162*w**3\/7 + 486*w**2\/7 + 15*w + 5. Solve r(d) = 0.\nAnswer: -9, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -25*q**3 - 535*q**2 - 211*q - 21.\nAnswer: -(q + 21)*(5*q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*d - 169*d**2 + 16*d - 12*d - 108*d.\nAnswer: -169*d**2 - 111*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of j**2 - 7448065*j*s - 2767315*s wrt j?\nAnswer: 2*j - 7448065*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -14 - 51c?\nAnswer: -531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 84431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -248*k = -232*k - 64. Solve k*t - 8*t = -16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*q + 81 - 6 = -85 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12293 - 12292. Let u be 1 + 1 + (-159)\/79. Which is smaller: u or m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -58 * 4298.3.\nAnswer: -249301.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.1 + 0.3. Let h be (3\/1)\/(-1) + -1. Let s be 2\/(-7) - h\/(-28). Sort -0.2, l, s in decreasing order.\nAnswer: l, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify r\/r**(-28)*r*r**(-4\/19)*r*r assuming r is positive.\nAnswer: r**(604\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 212398149101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2450113 - 142?\nAnswer: 2446641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 3*m + 7*q, 22*q - 20*q + 6 = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 330 - -149?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -28 - (19 - 17 - (67 + 0))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -5*f. Let q(m) = 13*m**2 - 3*m + 3. Let z(r) = 117*r**2 - 26*r + 26. Let j(s) = 26*q(s) - 3*z(s). Determine j(u(i)).\nAnswer: -325*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 71264\/(-1360) - (-48 - 4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1808 a factor of 33243803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zbb when three letters picked without replacement from {s: 4, z: 3, b: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 70943358 by -6.\nAnswer: -11823893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -17*m**2 - 2*m**2 - 10*m**2 to z*m**2 + p + x*m and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 1098*m + 438*m = 3430 - 24934 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + 0 + -5 + 4 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 8? (a) -1\/5 (b) 6.277 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, x: 2, r: 2}. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*(v**7\/v*v)\/v*v)*(v*v\/v**14)\/v)**(5\/8) assuming v is positive.\nAnswer: v**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -26\/1111 and -75\/231412?\nAnswer: 257098732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -33\/485?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -71*z. Let g(a) = -198*a**2. Determine f(g(y)).\nAnswer: 14058*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27528 or 27526?\nAnswer: 27526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1064*r + 1107*r + 2 + 0)*(-3*r**2 - 3*r**2 + 4*r**2) to q*r**2 + h*r**3 + v + j*r and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is t in t**4 + 23*t**3\/4 + 43*t**2\/4 + 33*t\/4 + 9\/4 = 0?\nAnswer: -3, -1, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 3, c: 8, e: 3, q: 3}. What is prob of picking 2 e?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -8*f - 12. Let u be m(4). Let y = -40 - u. Let a(h) = -4*h + 1. What is a(y)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u + 6*u - 2*u + 2 - 2 - u + (0 + 0 - 2*u)*(-3 - 1 + 2) - 29*u - 13*u - 12*u)*(3 + 2*u - 3)*(-1 + 4 - 1).\nAnswer: -184*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -11*p**3 + 5*p**2. Suppose -4*u - 5*y = 35, -3*u - 3*y - 18 = -2*y. Let m(d) = -5*d**3 + 2*d**2. Give u*m(f) + 2*i(f).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from msmtmttsttgmmua. Give prob of picking 1 u, 1 m, and 1 t.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4486, -17932, -40342, -71716, -112054, -161356, -219622?\nAnswer: -286852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*w - 22540 + 3619 = -41*w - 94*w for w.\nAnswer: 119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*s + 131727 - 130022 = 0 for s.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -27\/248360 and -83\/364280?\nAnswer: 323116360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002940201294 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6 minutes after 10:27 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1251166 + -212?\nAnswer: 1250754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -l + 4056, 20*l - 3*p = 15*l + 20320. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes after 12:04 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-4)\/10)\/(-2*52\/40)\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -2*b**2 + 367*b + 148750. What is v(-196)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -136017 = -0*u - 63*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**3 + 14*v**2 - 16*v - 12. Suppose 4*j + 8 = 0, w + 3*w + 3*j = -66. What is the least common multiple of 15 and m(w)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k**(2\/5)*k))**(7\/6)*((k**(-1)*k)\/k)**(2\/9) assuming k is positive.\nAnswer: k**(-31\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 19181 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 4851.361ng to milligrams.\nAnswer: 0.004851361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37916, 75946, 114046, 152246, 190576, 229066, 267746?\nAnswer: 306646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 317 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.864 - -3861569\nAnswer: 3861568.136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + (-14 - -6) + -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 666201 by 3.\nAnswer: 222067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*m + 19340 - 19348 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 5)*(-2*k**2 + k**2 + 4*k**2) + 10*k**2 - k**2 - 3*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = u - 3*g - 20, -u + 4*g = -2*u - 15. Suppose 0 = -u*o + 2*o + 12. Let r(d) = 4*d + 1. Is r(o) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 29313 - 9857. Is s a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the second derivative of 7*d**3\/6 - 5*d**2\/2 - 4*d. Suppose -3*g + 5*s = 13, 1 = -g - 0*g + s. List the prime factors of c(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 + -2.06. Let g = t + -1.94. Suppose 8 = 2*s - 5*i, -1 = -5*s + i + 2*i. Which is the closest to s? (a) g (b) 0.5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/2, 0.4, -2\/3, 0.2, 2\/21?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 1101100101 (base 2) to base 6\nAnswer: 4005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8 and 94?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(-3*(sqrt(245) + 4) - sqrt(245))**2 + 4.\nAnswer: 2688*sqrt(5) + 16260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8668220*v**2 - 17336490*v**2 + 8668273*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 - -1)*(-15)\/75. Let g(y) be the first derivative of 17 + 0*y**3 + 5*y + q*y**2 - 4\/5*y**5 + 0*y**4. Differentiate g(o) wrt o.\nAnswer: -16*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*s - 15 = 37 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4801\/33818 - 34\/457. Put -0.5, 0.09, t in descending order.\nAnswer: 0.09, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147 = -5*d + 8*d. Let z = d - 35. Is 15 greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -11*t - 11. Let s(x) be the second derivative of 5*x**3\/6 + 5*x**2\/2 - 43*x + 18. Give 9*s(o) + 4*w(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -10053 or -10133?\nAnswer: -10053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5 + 3. Let w(d) = -10*d - 23. Let q be w(-2). Let z be ((-40)\/(-2670))\/(b\/q). Which is smaller: -1 or z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 57056803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 236, 227, 212, 191?\n\"Answer: -3*r**2 + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2761275 divided by -165.\nAnswer: -16735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is (-6)\/(-57) - 4269\/(-57) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 1937156224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -25 + (22 - (6 + -5 + 10))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/(-10)*20\/(-110)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 35 - -29. Suppose v - 19 - 46 = 0. Suppose -31 = -y - 5*m + v, -480 = -5*y + m. What is the highest common divisor of y and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tyyy when four letters picked without replacement from {y: 6, h: 4, t: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 2*p - 19. Sort -1, 549, p in decreasing order.\nAnswer: 549, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = w**2 - 9*w - 8. Let k be a(9). Suppose 4*z - 3*b + 25 = 0, 0*z + 2 = -2*z - 2*b. Does 8 divide (z\/k)\/((-1)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -25, -3847, 2 in ascending order.\nAnswer: -3847, -25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4870 divided by -5.\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 12106181?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 101 and 7.\nAnswer: 707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the second derivative of 5*i**4\/12 - 715*i**3\/6 - 1095*i**2 + 1180*i. Let z(x) = 0. What is x?\nAnswer: -3, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -a**2 + 4*a + 1517. Let p(n) = -139*n**2. What is k(p(b))?\nAnswer: -19321*b**4 - 556*b**2 + 1517","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b + 4*c - 1096, 47*c = -2*b + 50*c + 420. What is the least common multiple of b and 56?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 14) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) be the first derivative of 316*n**2 + 505*n - 1535. Differentiate s(d) wrt d.\nAnswer: 632","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 8:16 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-12)\/(-8))\/((-1)\/(-12)) - 0. Suppose -m + 7*m = w. Let p be -6 - -3 - (m - 19). What is the greatest common divisor of p and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 20 - 34. Let v = g + 20. Let p = v + -4. Sort -4, 5, p in increasing order.\nAnswer: -4, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*-9*18\/243*((-48)\/88)\/2.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the first derivative of -1\/3*f**3 + 0*f + 5\/16*f**4 + 0*f**2 - 13 - 1\/20*f**5. Let m(h) = 0. Calculate h.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 + 3. Let u = 6 + i. Let s be u\/10 - (1 + 0). Which is the nearest to s? (a) -1 (b) -2\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*g = 23*g - 31. Sort g, -0.2, 9, 0.2.\nAnswer: -0.2, 0.2, g, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(133) + sqrt(133) + 5*(sqrt(133)*-2 - sqrt(133)))\/(sqrt(378)\/sqrt(6)).\nAnswer: -13*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*t**2 - 6*t**4 + 78*t - 8569*t**3 + 8735*t**3 + 73*t + t**2 wrt t.\nAnswer: -144*t + 996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -17*c**2 - 57 + 4*c - 6*c**2 - 20*c**2 + 55 in the form m*c**2 + l*c + s and give m.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 3*n**2 - 51*n + 53. Determine t(14).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.36, -3, 3, 5\/4, -1.1, 1\/1467?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1570 or -1574?\nAnswer: -1574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*o = -237 + 146. Let b(h) be the first derivative of 7*h**2\/2 - 45*h - 1. Let z be b(o). Put -0.4, 2, z in increasing order.\nAnswer: -0.4, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + 401?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = 13*k + 158. Calculate the smallest common multiple of t(-11) and 2181.\nAnswer: 10905","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 666 = 22*v. Suppose -4*f = -c - 4, -5*c - 4*f - 9 + v = 0. Calculate the remainder when 9 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -407 + 411. Let y be (12\/10)\/(27\/180). What is the highest common divisor of h and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-four fifths of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11391 + -11390.9827608. Round v to four decimal places.\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15542 - 15542 - 18*l**3 + 5*l**2.\nAnswer: -18*l**3 + 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 46 = 5*i - 0*v, -2*i = -4*v + 12. Let n(u) = -2*u**3 - 3*u**2 - 13*u + 12. Let t be n(i). Suppose 15081 = 3*q + t. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*((sqrt(396) - sqrt(396)*2*-1 - sqrt(396)) + sqrt(396) + sqrt(396))*5)**2 + ((sqrt(396) + -3)*2 - ((sqrt(396) - (sqrt(396) + -1)*6) + sqrt(396))).\nAnswer: 36*sqrt(11) + 5702388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1 (b) 0.2 (c) 0.5 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.2 - -0.3. Let r = 196 - 195.9. Which is the third smallest value? (a) j (b) r (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.29 - 0.39. Let x be 2\/(-6) + (-16)\/(-12). Suppose 2*o = o + x. Which is the closest to f? (a) -0.5 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 0*s + 0*s - s. Let k be 24\/(-40) - 36\/(-10). Let r(q) = 4*q - 5 + k + 2. Determine r(f(l)).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -5 less than 15806094477538?\nAnswer: 15806094477543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1726, 13952, 47176, 111898, 218618, 377836?\n\"Answer: 1750*w**3 - w**2 - 21*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 2002 = 2091*v - 1909*v for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 141 - 1267\/9. Let r = -11.8522 - 0.1478. What is the fourth smallest value in 2, -1, n, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 6*t**3 + 12*t**2 + 4*t + 4. Let u(z) = -6*z**3 - 12*z**2 - 3*z - 3. Let h(b) = 4*u(b) + 3*y(b). Find the third derivative of h(f) wrt f.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -2\/3, 2, -32, 2\/7, 128, 3?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 - -11. Suppose 0 = -2*r + 6*r - 5*o - 17, -2*o = r - 14. What is the third derivative of -4*w**2 - 8*w**3 + 3*w**h + r*w**2 wrt w?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, p: 1, k: 2, m: 6, i: 1, w: 5}. Give prob of picking 2 k.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-90)\/(-27) + 3\/(-9). Let n(w) = w**2 - 46*w + 364. Let x be n(10). Factor -1\/6*d**2 + 0 - 1\/6*d**i + 1\/6*d + 1\/6*d**x.\nAnswer: d*(d - 1)**2*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 406781, 813197, 1219613, 1626029?\n\"Answer: 406416*q + 365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(1300))**2*-4 - (0 + (sqrt(1300) + 0 + sqrt(1300))**2).\nAnswer: -10400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 1 j, 1 r, and 1 h when four letters picked without replacement from {i: 1, q: 1, j: 2, h: 2, r: 4}?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve q - 2*h = 3, -966*q + 3 = -967*q - 4*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*q = -q - 5*r + 34, -6*q = 4*r - 48 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(147)\/sqrt(3)*-1)\/((sqrt(21) + sqrt(189)\/sqrt(9))\/sqrt(3)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.539 - -0.461. Which is the closest to 5? (a) -5\/2 (b) j (c) 3 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**2\/5 - 92376*k\/5 + 92374\/5.\nAnswer: 2*(k - 46187)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 726015 and 9570?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 427025 * 2.\nAnswer: 854050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3470\/9 - -386. Let m = 49 - 28. What is the common denominator of h and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ymmndymynmmynmyn. What is prob of picking 2 n and 1 y?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the first derivative of 2*g**3\/27 - g**2\/3 + 4*g\/9 + 8. Factor k(c).\nAnswer: 2*(c - 2)*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 46\/1020489 and 20\/837?\nAnswer: 9184401","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2103 - -2107. Determine o, given that -15\/4*o**n - 5\/4*o**5 - 5\/2*o**3 + 15\/4*o + 5\/4 + 5\/2*o**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 951.9 times 0.6498\nAnswer: 618.54462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -23*m. Let t(d) = -252*d. Let s(r) = -32*l(r) + 3*t(r). Suppose 2*b - 3*j = j - 12, -5*b - 5*j = -30. Suppose 0 = -u - 3 + b. Calculate s(u).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*w = 72*w + 92. Calculate the remainder when 666 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.4 - 2.4. Sort 0.4, a, 2.\nAnswer: a, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 303126 - -4225?\nAnswer: 310354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -11.72 (b) 146 (c) 0.057 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 231102 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 91643502 to the power of 1\/2, to the nearest integer?\nAnswer: 9573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a = -3*a - w + 133, 2*w + 10 = 0. Let i be 1218\/98 + 8\/14. Let o(c) = c**2 - 3*c - 15. Let u be o(i). Calculate the greatest common factor of a and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 96771457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 7644 + 1407. List the prime factors of x.\nAnswer: 3, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g\/(g*g**(-10))))\/g*g\/g**(4\/11) assuming g is positive.\nAnswer: g**(-103\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 2*i = -94, -m + 184 = m - 5*i. What is the highest common factor of 561 and m?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 8*w + 5. Let r be h(6). Suppose 4*p + r = 9. Let j = p - -20. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -59483, -58535, -57587, -56639, -55691, -54743?\nAnswer: -53795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -2*u - 1. Let f be d(3). Let p = -4 - f. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 12) in base 9?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -21.0063*-3.09.\nAnswer: 64.909467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*x - 6*x - x)*(-6*x**2 + 10*x**2 + 6*x**2 + (-3*x + 3*x - x)*(-3*x + 0*x + 2*x) - 2*x**2 + x - x).\nAnswer: -9*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Do -60437 and -60439 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 21940214 is divided by 2561.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 = 5*n - 155. What is the units digit of ((-30)\/2)\/((-1)\/n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2327 (base 8) in base 12?\nAnswer: -873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 1085408408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36, -67, -96, -123, -148?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 29776 (base 11) to base 10\nAnswer: 42191","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -85, -342, -769, -1366, -2133?\n\"Answer: -85*q**2 - 2*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 56519 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 45763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1305)\/(-540))\/((-48)\/(-1728)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 263*c + 16537. What is x(-63)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(-3\/2))\/s*(s**12*s)\/s)\/(s**(7\/6)\/(s\/(s**9\/s*s))) assuming s is positive.\nAnswer: s**(13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 24623 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 33821951 to the power of 1\/3, to the nearest integer?\nAnswer: 323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 - 4*k**2 + 47*k + 204. Let s be x(-5). Let l be (3\/(-36))\/(3\/4). Which is the biggest value? (a) l (b) 4 (c) 4\/3 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 16 = -h + 3*u, 4*u + 6 = -3*h. Suppose 2*d = 2*t - 3*d, 5*d = -4*t - 30. Sort t, h, 5 in increasing order.\nAnswer: t, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 - -29. Calculate the remainder when o is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -32454*b - 50473 wrt b?\nAnswer: -32454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j = w - 16, -6*w - j = -4*w - 10. Solve -3*u = i - 2 - 9, w*u - i - 10 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1\/((-4)\/(-3) - 1). Suppose -4*o - 5*g = -47, -3*g + 5 = j*o - 34. What is the greatest common factor of o and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 - -3. Let a = 9.1 + -9. Let d = a + -5.1. Sort s, d, 3 in descending order.\nAnswer: 3, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -177, -184, -207, -252, -325, -432?\n\"Answer: -q**3 - 2*q**2 + 6*q - 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:48 PM and 4:25 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n**(3\/7)\/n)\/n*n)\/n)\/n**(5\/6) assuming n is positive.\nAnswer: n**(-101\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 58 + -39. Suppose 0*z + 3*z = 4*l + 34, 4*l = -4*z + 8. Suppose -3*m + 36 = -5*n, -24 + z = -3*m - n. What is the remainder when k is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - 0 - (-32 + (-1 - -15)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -3*i**4 + 14*i**3 - 3*i**2. Let t(x) = -6*x**4 + 27*x**3 - 6*x**2. Let b(j) = -7*m(j) + 4*t(j). Factor b(s).\nAnswer: -s**2*(s - 3)*(3*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 51\/2963183 and -17\/4054882.\nAnswer: 77042758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*g - 43 + 123. Let w = 10 + -7. Suppose 342 = 5*a + w*i - 6*i, -a - 5*i = -46. Calculate the least common multiple of a and g.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -407*u + 30 = -409*u - 5*f, 4*u - f = 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 4196 divided by 1\nAnswer: 4196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 9058544 by -4.\nAnswer: -2264636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -8*j + 540. Let y = 128 + j. What is the greatest common divisor of 52 and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -20 (base 5) to base 14.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -115\/546 and 76\/1834455.\nAnswer: 47695830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 5*g + 6. Let z(o) = 9*o + 5. Let l(p) = -100*p - 55. Let d(w) = 4*l(w) + 45*z(w). What is 6*d(x) - 5*f(x)?\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the third derivative of 55*h**4\/24 - h**3\/2 - 410*h**2. Let y = 4 + -3. What are the prime factors of x(y)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 - 9*y - 6. Determine k(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-70 + 28*t + 35 - 24*t)*(-t + 0*t - 3*t) to the form w*t**2 + u + d*t and give d.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -4*q**2 - 6*q - 119. Let j(x) = -x**2 - 2*x - 40. What is -2*g(d) + 7*j(d)?\nAnswer: d**2 - 2*d - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 197*b + 2795 + 2130 for b.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2038440 and 120.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 4 = -o + 55, -5*d + 48*o - 25*o = 19*o + 242 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m - 15 = 0, -2*w - m + 15 = -6. Suppose 20 = -5*c, -2*c = -4*t - 5*c - w. Solve 5*u + 25 + 0 = t for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 772*s**4 - 7*s**3 - 2*s - 766*s**4 + 2*s**3 to the form r*s**2 + o + m*s**4 + n*s + b*s**3 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -149 + 153. Suppose t*k - 5*s = 18, 0*k - 4*k = -s - 10. What is the greatest common factor of k and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 4*o - 1263 + 6*o**2 + o**2 - o**2 - o**3 + 1280. What is h(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19685 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + -6*(3 + sqrt(832)*-3)*2 + -2)**2 + 5.\nAnswer: -21888*sqrt(13) + 1079721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) be the second derivative of -66*z**6 + z**5\/10 + 2442*z**2 - 538*z + 1. Differentiate h(y) wrt y.\nAnswer: -7920*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -905841 < -905842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(189)\/sqrt(3) - -1*sqrt(1008))**2.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = 5*t - 6*t. Solve 5*w + o - 23 = t, 3*w - 21 = o - 4*o for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 62\/309 + -52997\/244110. Find the common denominator of f and 91\/948.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*o**2 + 187728*o = 0. Calculate o.\nAnswer: -46932, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 15 = 3*t. Let j(v) = -20 - 6*v**2 - t*v**3 + 2 + 4*v**3. Is 22 a factor of j(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) be the third derivative of -5*x**4\/12 + 47*x**3\/6 + 74*x**2. Let z be 138\/(-7) + 6\/(-21). What is the units digit of h(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29638 <= 29638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.3 (b) -38 (c) 9 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7\/(343\/42) - ((-605)\/(-77) + -11). Find r, given that 4\/7*r**q - 46\/7*r + 2\/7*r**5 - 36\/7*r**3 + 12\/7 + 64\/7*r**2 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + sqrt(77)\/(sqrt(66)\/sqrt(54)).\nAnswer: 3 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/5, 0.1, -9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 2859*q - 17. Let g(x) = -2863*x + 14. Calculate -5*g(f) - 4*h(f).\nAnswer: 2879*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2\/85, -2\/17, 2, 2\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -39.48305 rounded to one dp?\nAnswer: -39.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 39.773 take away 8039283027?\nAnswer: -8039282987.227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**2 + 38*l - 230. Give b(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 584955799?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 22597 and 122189.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -27 + 26.99446. Round s to four decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.113680094 from 0.\nAnswer: 0.113680094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + 20, -17*d + 2*g = -16*d - 33499. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 24 = 5*v - 86, -v - 4*i = -22. Let y = -18 + 138. Let w = -76 + y. Calculate the least common multiple of v and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -572, -539, -506, -473?\nAnswer: -440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(11) + -1*sqrt(44)\/sqrt(4) + 5).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3224729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 64789 != 64787?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v = -29\/420 + 1\/30. Let q(g) = 2*g - 3. Let a be q(2). Is v at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 24803435 to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract 125 from 0.02.\nAnswer: -124.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 32258586 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0 + (-1 - -1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4980513*s*v**2 + 4427481*v**2 wrt s.\nAnswer: 4980513*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o**29*o))\/o*o*o**(-33)\/o*o**(-7\/8)*o*o**(-37))**(-1\/44) assuming o is positive.\nAnswer: o**(799\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65527 is divided by 108?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -29? (a) -0.1 (b) 9\/11 (c) 2034 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-10)\/20 - (-7)\/2. What is the second derivative of 36*y - 39*y**5 - 15*y**c + 3*y**3 + 12*y**3 wrt y?\nAnswer: -780*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 1 = -4*c. Let f = c - 5. Is 1*12 + (f - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/7952580 and -79\/441810.\nAnswer: 7952580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r\/r**(7\/3)*r)\/(((((r\/(((r*r*r*(r**10*r*r*r)\/r*r)\/r)\/r))\/r)\/r)\/r)\/r*r) assuming r is positive.\nAnswer: r**(47\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:47 PM and 1:51 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k**2 - 30988884*k - 240077732891364 = 0. What is k?\nAnswer: -15494442","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 15034 (base 6) to base 13\nAnswer: 1126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = 62 + -61.4. What is the closest to -3\/4 in m, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 4*v + 20 = 2*c, 5*c = 5*v + 5. Let b = 20 + -13. Suppose -c*z - 1580 = -b*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -p + 2*k + 14, k = 3*p - 16. Suppose -7 = -q + p*m, 1 = 3*m + 4. Solve -4*u - q = -u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -5*w - 20, -2*w + 6 - 2 = 0. Suppose x = 19 + 9. What is the remainder when x is divided by a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + 5. Suppose -n = -3*t + 6. Suppose 15 = -m + 2*m - 5*p, -t*p - 12 = -5*m. Solve -2*d + 2 = -m for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2425786 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.9, -0.019244, 0?\nAnswer: -0.019244","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z\/((z*z**2)\/z))*z)**(-22))**(3\/40)*(z**(-1\/10)\/(z\/z**(-11)))**(-4\/5) assuming z is positive.\nAnswer: z**(473\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 - 1. Let u be (q - 0\/3)\/(-1). Suppose 4*x + 2065 = 3*j, u*x = -0*x + 4. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 48, 78, 108, 138, 168?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -w**3 + 5*w**2 + 3. Let g be h(5). Let v be (42 - 571044) + g\/((-3)\/(-2)). Round v to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 96914.364 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(245) + sqrt(245) + -4)*3 + -5*(sqrt(245) + 4 - sqrt(245)) + sqrt(245) - (sqrt(245)*-1 + -5 + -5 + sqrt(245)*1)*1)**2.\nAnswer: -2156*sqrt(5) + 12489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 156d8b (base 15) in base 11?\nAnswer: 648242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -46.79 - -47. Let h = 0.01 - c. Let f = -0.6225 + 0.2225. Put h, -0.5, f in increasing order.\nAnswer: -0.5, f, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x such that -2*x**5 + 10*x**3 - 8*x = 0.\nAnswer: -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -383*n - 91 + 386*n - 113 - 88 + 292.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4597 - 28*q + 46*q - 19*q.\nAnswer: -q + 4597","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: (-2)\/(-127) - 130000\/(-1825625)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 151 + -152. Is -1\/41 bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 20 = -6*c. Let p = c - -6. Suppose x + 1 = 0, p*x + x + 137 = 2*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*r = -11*r + 7224. Let n = r + 7286\/3. What is the common denominator of n and -17\/13?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 4, a: 3, s: 5, w: 1}. What is prob of picking 1 a and 1 c?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6639 - -6624 - (-1 - -6)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -1\/2 (c) 5\/538 (d) -11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 457 - 457.526. Let d = 0.006 + h. What is d rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 911*o - 912*o - 4*t + 172, -t = 5*o - 43 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 171115 is divided by 2343?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 198 and 8442450.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 18136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 10*w - 7. Let u be (28\/6 + -5)\/((-2)\/12). Let m(x) be the third derivative of -1\/8*x**4 + 0 + 0*x + u*x**2 + 1\/3*x**3. Give 2*f(q) + 7*m(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -6. Suppose -2*m + 12 + g = 0. Suppose m*z + 330 = 3*z. What is z rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 4 - -44104?\nAnswer: 44111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the third derivative of h**8\/336 - h**7\/210 - h**6\/120 + h**5\/60 - 12*h**2 + 6*h. Let t(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c - 4*t - 1254 = 0, 3090 = -6*c + c + 5*t. Let m = 870 + c. What are the prime factors of m?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000245424139 to 7 decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 96273?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 + -2 - 30) + 16?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2370*o**3 + 67400*o**2 - 544254516*o.\nAnswer: -14220*o + 134800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gnl when three letters picked without replacement from {n: 3, d: 4, g: 2, p: 2, l: 1}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify r*r**(3\/8)*r**2*(r\/r**(-2\/5))**13 assuming r is positive.\nAnswer: r**(863\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z be 68\/28 + -2 + 0. Let x = -21 - -21.2. Which is the closest to 2? (a) 2\/13 (b) x (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the second derivative of m**3\/2 - 3*m**2\/2 - 3*m + 3. Suppose 15 = 6*z - z. Suppose -z*u + 4*u + 3 = 0. Calculate d(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 30 = 10. Suppose n*p - 6 - 10 = 0. Suppose 4*a = -5*b + 2736, -p*a + 2*b = -0*b - 2708. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 35856328?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 54138471 to the nearest integer?\nAnswer: 7358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -q + 10, 2*f = q + 3. Let b(v) be the third derivative of -v**5\/4 - v**4\/24 - v**3\/6 + 34*v**2 - 26*v. Calculate b(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 236715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3935 - 3934.99999577. What is h rounded to seven decimal places?\nAnswer: 0.0000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 249.34 * -43.\nAnswer: -10721.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6.8 + -3. Let p = 8.8 - u. Sort 3, 1, p.\nAnswer: 1, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-136)\/88)\/((-25)\/(-275))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -z**3 - 4*z**2 - 4*z - 29. Calculate the remainder when 189 is divided by s(-6).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - 10) + 63 + -80.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-15043)\/(-2989) - (-4)\/(-122))\/(-15)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*k*n**3 - 2*k*n**2 + 2*k*o**4 + 779*k*o + 16*k - 2*n**3*o**3 - n**3 + 2900*n with respect to o.\nAnswer: 8*k*o**3 + 779*k - 6*n**3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 83*o + 120*o + 2*c = 207*o + 18, 0 = -2*o + 8*c - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the first derivative of j**7\/42 + j**4\/12 - 3*j - 3. Let q(r) be the first derivative of v(r). What is the third derivative of q(p) wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 0*f + 3*f + f. Let w(u) be the first derivative of -u**5\/60 + 63*u**2\/2 + 31. Let q(h) be the second derivative of w(h). Calculate q(l(m)).\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -x = -5*n, 5*x - 11 = -2*n + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -126*p**3 - 2*p - 5. What is the thousands digit of h(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10758634?\nAnswer: 2, 937, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (1695\/226)\/((-6)\/(-76)) and 25.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 7*z**3 - 5*z**2 - 12*z + 16. Suppose 10*f = w + 5*f - 21, -3 = w + f. Let o = -307 + 557. What is the lowest common multiple of d(w) and o?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.064 * -2078\nAnswer: 132.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.025616 and -6.96?\nAnswer: -0.17828736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -24\/23483 and 16\/352245?\nAnswer: 352245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 11676 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = s + 4*w, -3*s - 2*w = -7*s + 144. Let h = 24 + -15. Calculate the remainder when s is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*x - x + x)*(2321050 - 1263*x - 2321050) in the form g*x**2 + n + m*x and give g.\nAnswer: -3789","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ckoowwkocckcw. What is prob of sequence owwk?\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 339 is divided by 124?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = 39 - 37. Solve -2*w - f*w + 8 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -171*x**2 + 12*x - 13. Let q(h) = -68*h**2 + 5*h - 5. Determine -5*d(z) + 12*q(z).\nAnswer: 39*z**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 236*a + 2019 = 239*a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*g = 28262 - 5561. What is the remainder when g is divided by 67?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 264879 is divided by 220.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 37*n**2 + 66*n + 381. What is the units digit of g(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -141 + 156 + -29 + 1 + -3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 5 by 12.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + 22 + 236 = 0. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -30*i. Let h(r) = 37*r - 208. Calculate n(h(b)).\nAnswer: -1110*b + 6240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, 0, -1, -3, 2272 in ascending order.\nAnswer: -3, -1, 0, 31, 2272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of s**4 - 3*s**3 - 10064*s**2 + 5011*s + 2?\nAnswer: 12*s**2 - 18*s - 20128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 11 divided by -162\nAnswer: -11\/162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-35)*y)**(-30\/11)*(y\/(y**(2\/23)\/y)*y)\/y*y\/y**(2\/75))**(-43) assuming y is positive.\nAnswer: y**(-78013567\/18975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-160)\/1040 - (-196)\/(-78).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 145 a factor of 3403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 177 + -113. Let s = n + -33. Let i = -31.000013 + s. What is i rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -15616 (base 7) in base 2?\nAnswer: -1000101000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 145 (b) -0.5 (c) -0.048\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (46*a**2 - 47*a**2 - 5 + 0*a - 2*a)*(7*a + 5 - 4 + 3).\nAnswer: -7*a**3 - 18*a**2 - 43*a - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -174*p**3 + 10*p - 15539 + 175*p**3 + 15519 to the form o*p**2 + x*p**3 + n*p + b and give n.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (0 - (3 - 3)) + (2 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -21035*c**3*d**3 - 3843*c**3 - 4*c**2*d**2 - c**2 + c*d + 225*d**3 - 3*d - 2 wrt d?\nAnswer: -126210*c**3 + 1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 9130.064 centuries in months?\nAnswer: 10956076.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bq when two letters picked without replacement from qqqbbbqqqq.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -182 - -186. Let h = 2 - 1. What is the closest to -0.1 in -2, h, i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fffffffffrff. What is prob of sequence rf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56958?\nAnswer: 2, 3, 11, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -21 - 1de?\nAnswer: -1ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.4 (b) -3 (c) -1182 (d) 4 (e) -4 (f) 2\/9 (g) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = f**3 - 4*f**2 - 4*f - 3. Let r be a(5). Let q = -35 - -302. Let c = q - 262. Solve -c*d - 19 = r*n, 4*d = d - n - 12 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:52 AM and 11:56 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 22*o + 6. Let b(d) = 18*d + 5. Let h(y) = 6*b(y) - 5*p(y). Give h(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*t**4\/7 + 6*t**3\/7 - 12*t**2\/7 - 16*t\/7.\nAnswer: 2*t*(t - 2)*(t + 1)*(t + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(99) + 1)*1 + sqrt(88)\/(sqrt(8) - (sqrt(8)*-1 - sqrt(8))*-4 - sqrt(8))).\nAnswer: -23*sqrt(11)\/4 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -255, -67, -2 in decreasing order.\nAnswer: -2, -67, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4 - 0. Calculate the smallest common multiple of s and (-10)\/(-15) + (-39)\/(-9).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**3 + 4*q**2 + 7*q - 10. Suppose -z + 3*d - 5 = 0, -3*z + d = 3*d - 18. Give m(z).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -3*l**2 + 42*l - 30. Let m be o(13). Solve y + m*y - 10 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d**2 - 1 + 1 + 0*d**2 + 3*d**2 + 2*d**2 + (-3 + 1 + 0)*(6*d**2 - 4*d**2 + 0*d**2).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8070.767 + 8076. Let s = k + 0.367. Which is the second biggest value? (a) 4 (b) -3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 268, 2, 0, 1, 10 in ascending order.\nAnswer: 0, 1, 2, 10, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 199167 or 198772?\nAnswer: 199167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/(-12) - (60\/(-510) - (-67)\/(-153)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -11459696522 rounded to the nearest 1000000?\nAnswer: -11460000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 236 - 162. Let v = 1366 - 959. Calculate the highest common factor of v and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -175 (base 8) to base 14.\nAnswer: -8d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 20722.55 to the nearest one hundred.\nAnswer: 20700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/4*46410\/(-3213)*6\/10?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 27.54 rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -2*d. Let w(x) = -4900*x**2 - 2*x. Give w(z(g)).\nAnswer: -19600*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1960 - -1959. Which is the closest to w? (a) 7 (b) -4\/5 (c) 9 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -15 + -32. Let m = p - -28. Calculate the least common multiple of (-2)\/(-2)*(1 - m) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 748015.8 millennia to decades.\nAnswer: 74801580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s + 206*s - 845*s)*(-2*s**2 + 3*s - 3*s).\nAnswer: 1272*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 20890012 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 + -2. Let z(m) = m. Suppose -3 + 14 = v. Suppose v*f - 22 + 55 = 0. Let w(q) = -4*q + 3. Determine a*w(k) + f*z(k).\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1632, 13342, 45122, 107004, 209020, 361202?\nAnswer: 573582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from otdfddiirdrr. What is prob of picking 2 d and 1 t?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -128.337 to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the first derivative of -4 + 2\/65*q**5 + 0*q**4 + 0*q**2 + 0*q**3 + 4\/39*q**6 + 0*q. Factor p(z).\nAnswer: 2*z**4*(4*z + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3163665.\nAnswer: 3, 5, 210911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*b - 10. Let c be (-68)\/(-20) - b\/5. Suppose 37 + 7*p**2 - 8*p + 12*p**2 - 41 - 7*p**c = 0. What is p?\nAnswer: -2\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -4880 (base 13) to base 16\nAnswer: -2804","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cww. Give prob of picking 1 w and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nfyeq. Give prob of picking 1 q and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1, -3951138 in decreasing order.\nAnswer: 4, -1, -3951138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 117\/253621600 and 33\/642080?\nAnswer: 253621600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:48 AM and 6:30 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 855 is divided by 280?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 5 - ((-3 - -2) + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -2*a - a + 4*g, -3*a - 2*g = -13. Let x = 6 - a. Let n = -305 - -307. Solve -n*l + 1 = t, -5*l - x*t - t = 5 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 12*k**2 - 5*k + 28. Let h(u) = 17*u**2 - 9*u + 41. Let x(p) = -5*h(p) + 7*y(p). Let v = 31 - 25. Calculate x(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5550 and 550.\nAnswer: 61050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 1598*d**2 - 3*d + 8. Let f be g(2). Let r be (f - (-3 + -3))\/((-6)\/(-25125)). What is r rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 229239510?\nAnswer: 2, 3, 5, 7641317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 337094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z**2 - 2*z - 3. Let t be i(3). Is t at most as big as 2\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -21641, -87330, -196813, -350090, -547161?\n\"Answer: -21897*c**2 + 2*c + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2579.9 in 1\/6, 1\/10, -16, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.46 + -4.26. Let g = 3.8000042 + h. What is g rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9542 is divided by 33?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 151 greater than 137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 25a94 (base 13) to base 2.\nAnswer: 10001000100011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 100100000010001000100000 (base 2) in base 6?\nAnswer: 534243040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 48152 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(5\/4)\/x*(x\/(x**1*x))\/x)\/((x**(-1\/9)*x)\/(x*x**(-1)*x)))\/((x*x\/(x*x**(-7)\/x*x)*x**9*x)\/(x\/(x**0*x))**2) assuming x is positive.\nAnswer: x**(-707\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 129 is divided by 54.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*y - 12*y + 5*y + 2*y - 4*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b + 5*c - 142 = 0, 130*b - 135*b - 3*c + 355 = 0. Calculate the remainder when 917 is divided by b.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 134405 (base 6) to base 8.\nAnswer: 30605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 64.67258 centuries?\nAnswer: 6467.258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**3 - 14*j**2 + 26*j - 23. Let b be t(12). Which is smaller: 5\/7 or b?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 3 + -2. Let x = c - 0.6. Let t(i) = 2*i**2 + 11*i + 15. Let n be t(-4). What is the nearest to -0.1 in x, -5, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (207 - 98 - 295*l**2 - 107*l**2 - 93)*(2 - 5 - 1) in the form j*l + h*l**2 + s and give h.\nAnswer: 1608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/(-15)*(5\/(-10))\/(-1).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 15 + -14. Let j(x) be the third derivative of 0 + 1\/24*x**4 - 1\/2*x**3 + 0*x - 1\/30*x**5 - 9*x**2. Let r(m) = -m + 1. What is u*r(t) + j(t)?\nAnswer: -2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 4*x - 12. What is o(-10)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 2*x**2. Let d = 7 + -5. Let s(t) = 3 - 8*t - 1 - d. Give k(s(h)).\nAnswer: 128*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*x - v, -1078*x + 57 = -1051*x - 4*v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*n + 108 = -4. Solve -10 = -5*d + 2*x, -n*d - 5*x - 13 = 12 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and 40.8?\nAnswer: 4.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h + 0*h - 3*h)*(0*h + h - h**2 - h**2).\nAnswer: 2*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 518, 8.\nAnswer: 4, 8, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**3. Let g = -4 + 7. Suppose 0 = 4*u - 2*k - 18, -k = -g*k - 2. Let s = -5 + u. Give b(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*w**2 - 2*w**2 + 4*w**2 - 5*w**4 wrt w.\nAnswer: -120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = 2*u - 9. Give n(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3a67a + -2583?\nAnswer: -42152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1235 + 1240. Solve 3*c + 17 = 2*u, 2*u = 2*c + k*u + 7 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/8 in 0, 245, -7\/16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -287.998772 rounded to zero decimal places?\nAnswer: -288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express t**4 + 3*t + 8*t**2 + 99*t**3 + 66*t**3 - 151*t**3 + 3 as l*t**4 + y*t + x + k*t**3 + m*t**2 and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 45*b**4 + 32340*b**3*q**3 - 3841669*b**2 - 6*q**3 wrt b?\nAnswer: 1080*b + 194040*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0002057935293 to five dps.\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*t**2 - t**2 + 3*t**2)*(0*t + 0*t - 3*t) - 2*t**3 + 4*t**3 - 3*t**3.\nAnswer: -7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 15 - 12. Suppose -695 = -2*h - u*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 3:46 PM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (6\/2 + -2)\/(-17 + 19)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -33 in 0.1, -17, 2\/13?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 205c0 (base 13) to base 2.\nAnswer: 1110001100001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (1297 - 1297 + 771*w)*(3 + 0 - 2) + (-2 + 6 - 5)*(3*w - 13*w - 4*w) + 1 + 2*w - 1.\nAnswer: 787*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59 = -6*b - 17. Suppose 5*t = b + 18. Let z(k) = 13*k + 15. List the prime factors of z(t).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 1032 divided by -8\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -65 + (9 - -6 - (78 - 82)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 91 is divided by (2 + -1)\/(2\/62)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (156\/42)\/((-4)\/(-14)). Suppose 0 = 14*x - w*x - 204. Is x a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -150383.51 + -1.\nAnswer: -150384.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2522 + -1a4?\nAnswer: 233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 2*i - 5*m - 10 = 0, i + 3*m - 11 = 0. Suppose 0*z - z + 11 = 4*x, -175 = -i*z + 4*x. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the second derivative of 2*q**6\/15 - 553*q**5\/5 + 25017*q**4 + 259470*q**3 + 2*q - 8097. Factor k(i).\nAnswer: 4*i*(i - 279)**2*(i + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5*1326\/(-780)*(-2)\/(-34)*2\/(-26)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2634433 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -10010 (base 2) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -51 + 91. Suppose -r*f = -45*f + 75. What is the remainder when 44 is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 5 + 0)*(-20*d + 1 + 2 + 12*d) to q + f*d and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -106975, -105953, -104931, -103909?\nAnswer: -102887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/882171 and 1\/882171.\nAnswer: 882171","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 36585411 minus -4.2927?\nAnswer: 36585415.2927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 14 - -2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*y**4 - 2*y**4 - y**4)*(y + 3*y - 5*y) + (-2*y**2 - y**2 - y**2)*(0*y**3 - 4*y**3 + y**3).\nAnswer: 13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 190*((-1260)\/42)\/((-1026)\/18)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -11678000 to the nearest one hundred thousand.\nAnswer: -11700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = 631 - 204. Let c(r) = r**3 + 67*r**2 + 8*r + 597. Let b be c(-67). What is the highest common divisor of b and x?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9912311?\nAnswer: 9912311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, -3\/7, 156, 3, 0.5 in increasing order.\nAnswer: -3\/7, 3\/7, 0.5, 3, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + y**3 - 12 + 18.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -55*t = 30*t + 57*t - 142 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 45*p + 1 - 4*p**3 + 0 - 47*p. Let i be 2\/(-6) + (-40)\/(-12). Let r be 0 - (-1)\/(i + -2). Give a(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1313 and 10330886.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1474103 is divided by 245665?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3 + 313?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 301, -8, -2\/5, 8\/9, -27?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + (-9)\/(-5))\/((-168)\/(-80)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 261707?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 288359101 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 503858 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (0*m - 2*m - 3*m)*(-123*m + 59*m + 136*m) as s*m + r + a*m**2 and give a.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l**3\/7 + 1098*l**2\/7 + 44880*l + 18609800\/7 = 0 for l.\nAnswer: -110, 769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*((-399)\/266)\/((-18)\/56).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -47 - -37. Let v = j + 12. Calculate the remainder when 55 is divided by v\/(5\/140*4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, -3, 153860 in decreasing order.\nAnswer: 153860, 18, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m + 8. Let y be i(-6). Suppose 0*c = y*c. Let u = 0 - c. Let q(w) = -w - 2. Determine q(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -476\/5 (b) -3\/2 (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1 and 28?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 117 + 86. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((5*(sqrt(209) - sqrt(209)*1) + sqrt(209) + sqrt(209) - sqrt(209))*3)\/(-1*(sqrt(11) + -1*sqrt(11)) - (sqrt(396) - 2*sqrt(396))))**2.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5945305 millimeters to nanometers.\nAnswer: 594530.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -483978 divided by 33.\nAnswer: -14666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 197 and 83922?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3 + 16*x**2 + 22*x - 13. Let n be a(17). Suppose 4*y - n = -3*q, -5*y - 2*q + 144 = 54. Suppose 0 = 14*z - y*z + 12. Solve 0 = z*j + 2 + 7 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i = z + 6, 40*i + 4*z = 41*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 11 (b) -1 (c) -42\/11 (d) 4 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*u**5 - 3*u**5 + 2*u**5 + (-1 + 1 - 2*u**2)*(-3*u**3 + 3*u**3 + 2*u**3) + u - u - u**5 + 330*u**3 + 165 - 3*u**5 - 654*u**3 + 324*u**3.\nAnswer: -9*u**5 + 165","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = 4*y**2 - 243*y - 1971. Give g(68).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -12549 less than -12552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z - 77 - 78 - 65 = 17*w, -2*w = -3*w + 2*z - 16 - 4 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 13\/((-91)\/(-28))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve m = -g + 1, -m - 16 = -4*g + m for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -10*w**2. Let c(a) = 585 + 590 - 1175 - 109*a. What is o(c(u))?\nAnswer: -118810*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + (-14 - -14 - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -4, -0.4, -5, 0.0111, 0.075?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s be 84\/(-20) + 4 - (-51)\/5. Let i be 1 + (-6 - -3) + s\/7. Which is the biggest value? (a) 0 (b) -4 (c) -11 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11*f**4 - 199*f - 3*f**2 + 199*f - 12*f**4 + 7*f**3 to the form w + m*f**4 + g*f + s*f**2 + a*f**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1\/4))**(2\/73)\/(((l\/((l*l**1\/l)\/l)*l)\/l)\/l*l\/(l*(l*l**6)\/l*l))*(l\/(l*l**(-2\/9)*l)*l\/(l\/l**2*l))\/(l**(5\/2)\/(l**(2\/7)\/l)) assuming l is positive.\nAnswer: l**(18401\/4599)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -12, -5.32.\nAnswer: -12, -5.32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jfjz when four letters picked without replacement from ntnnnnfntzjfttjfn?\nAnswer: 1\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be 192\/22 + -4 + -6. Let t = 56 + -61. What is the third biggest value in y, 0, t, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 264, -24, -314, -606, -900?\n\"Answer: -a**2 - 285*a + 550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -3*b**5 - 15*b**3 - 6*b**2 + 6*b + 6. Let w(o) = o**5 + o**4 + o**3 - o**2 + o - 1. Let h(y) = a(y) + 6*w(y). Factor h(t).\nAnswer: 3*t*(t - 1)**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 722 - 722 - 3*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -12094 at least as big as 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1962010*n**2 - 1463349*n wrt n?\nAnswer: 3924020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0 and -1753.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jfjf when four letters picked without replacement from {j: 3, f: 17}?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**1*i**(-6\/13))**37\/((i**(-2\/3)\/i**(1\/13))\/(i*i**(-2\/3)\/i)**50) assuming i is positive.\nAnswer: i**(-38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 17*a**2 - 12*a + 5. Let o be k(-9). Suppose -3836 = -4*v - 3*m, 3305 + o = 5*v + 2*m. What is the hundreds digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*b**3 - 2*b**3 + b**3 + (-2 - 2*b**3 + 2)*(2 + 1 - 2) + 3277*b + 137*b**3 - 3277*b.\nAnswer: 136*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -17 != -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 85763681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 893877 is divided by 644?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 + 5)*(87\/(-4) + 1). Let x(n) = n**3 - 24*n**2 + 90*n + 13. Let d be x(19). Is g < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*i**2 + 1379*i + i**2 + 0*i**2 + 1517*i.\nAnswer: -i**2 + 2896*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/20 - 2\/10. Suppose b = -0*h + h - 2. Suppose 2*u = 5*o - 455, h*u = 4*o - 192 - 170. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q = 1 + 11. Suppose 4*g = -4*r - 57 - 187, 2*g + r = -118. Let y be ((-10)\/(-6) + 38\/g)*-3. Sort y, q, 0 in decreasing order.\nAnswer: q, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l\/(l**6\/l)*l))**33 assuming l is positive.\nAnswer: l**132","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -h*k**3*o**2*r + 2*h*k**3*o*r - 54*h*k**3*r + 4*h*k*o**3 + 29*k**3*o**3 - k**2*o**2 - 2*k*o**3*r - 2*k*o**2*r wrt o?\nAnswer: 24*h*k + 174*k**3 - 12*k*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00000292500318 to 7 decimal places.\nAnswer: 0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1402.0000000798 + -1402. What is c rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 3, j: 9}. What is prob of picking 1 j and 2 p?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 13\/5 of a millennium?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o - 3*o + 3, 4*q - 4*o = 184. What is the remainder when q\/(((-35)\/10)\/(-7)) is divided by 37?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 142?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0 - 3. Let o = 886.76499 + 0.03501. Let k = o - 887. What is the closest to k in -2\/3, t, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2394*g**3 + 1658 + 22*g - 150*g - 1660 + 950*g + 76*g wrt g.\nAnswer: 14364*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -2*z**3 - 15*z**2 + 28*z + 48. Let w be p(-9). Solve 0 = 45*l - 6 - w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3874304 by 8648.\nAnswer: -448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 + h + 16. Let n be v(0). Let g be ((-8)\/32)\/(10\/n). Let o = 6 - 5. Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0922 rounded to 3 dps?\nAnswer: -0.092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -6*((-35)\/(-4935)*47)\/((-2)\/(-102)*-2)\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -31 + 35. Suppose -4*w + 769 = -n*x - 487, 0 = w + 5*x - 302. Is w a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/7680 and -113\/72.\nAnswer: 23040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 1798844 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 81 + -45. Suppose 3*y - 3*d + 0*d = l, -2*d = -y + 14. Calculate the smallest common multiple of 1 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*q + 419 = 707 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -55210 divided by 26.\nAnswer: -27605\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 8110*w**3 - 4*w**2 + 100*w + 12. Let c(a) = 8109*a**3 - 4*a**2 + 99*a + 18. Let i(s) = -2*c(s) + 3*m(s). What is the third derivative of i(l) wrt l?\nAnswer: 48672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 374 and 748?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -133.6 rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 854 - 8*y**2 - 854.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 620 + -609. Let x(b) = b**3 - 10*b**2 - 12*b - 6. What is x(l)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = 10*h + 74. Suppose 0 = -4*p - 2*r - 20, -6*r = -4*p - 3*r - 40. What is k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001942763 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 3*w**3 + 3*w**2 - 10 - 3*w**2.\nAnswer: 3*w**3 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.045 - -0.455. Let z = u + 0.09. Let g = -5.9 + 9.9. What is the second biggest value in g, z, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the second derivative of 1\/6*t**4 + 0 + t + 0*t**3 - 1\/20*t**5 + 0*t**2. Find the third derivative of r(w) wrt w.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5000530 to the power of 1\/2, to the nearest integer?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -3*s**2 + 4*s + 6. Let f(g) = 4*g**2 - 4*g - 6. Let m(r) = -4*f(r) - 6*v(r). What are the prime factors of m(8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8906445.\nAnswer: 3, 5, 197921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the first derivative of -35*j**4\/4 - 4*j**3\/3 - 15. Find the third derivative of y(u) wrt u.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d + 33 = -3*d. Let l = -16 - -33. Let k = d + l. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -44 - -70. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 8 = -5*j, 18 - 2 = 4*y + 4*j. Suppose 10275 = y*k - 12377. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 120*l**2*o - 1007*l**2 wrt o.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zfflzfkyyfzhfz. Give prob of sequence yf.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 2 = -3*n, 5*s - 2*n - 12 = s. Suppose 41*b - 47*b = -30. Is s smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**4\/9 + 3286190*o**3\/9 + 2190788*o**2 + 39434152*o\/9 + 26289424\/9.\nAnswer: 2*(o + 2)**3*(o + 1643089)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-1\/17)*q*q\/q**(-2\/21))\/((q**(-4)*q)\/q)**(-1\/6))**(-6) assuming q is positive.\nAnswer: q**(-978\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gft when three letters picked without replacement from zgufttgu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -535080 = -33*y - 3*y - 34*y. Calculate the highest common divisor of 168 and y.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -13 (b) -1\/10 (c) -87 (d) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10566 and 2780619?\nAnswer: 1761","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*x = -x - 14. Suppose x*k = -3*d - 0*k + 164, d - 3*k = 40. Calculate the remainder when d is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2, 0.3, -0.3328, -57, 2\/61, 5?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 PM and 2:08 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t + 0*t + 2*t + (4*t - 4*t - 2*t)*(-5 + 1 + 3) - 2*t + 0*t + 3*t)*(-7 + 3 + 1 - t**3 - 2*t**2).\nAnswer: -4*t**4 - 8*t**3 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -x**3 - x**2 + 3*x + 19. Let k be c(0). Find the first derivative of 17 - 2 - 16*p**3 - k*p**3 + 9 wrt p.\nAnswer: -105*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-14) + 150\/(-14). Let y = f - -15. Suppose -47*m + 251 - 44 = -263. Solve -3*v = -8*d + 3*d + m, -40 = -4*v - y*d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = 15 - 71. Let x = -2527 + 2532. Suppose g + x*b = p, -4*b + 22 = -g + b. Solve -1 = -4*r + g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) -5\/2 (b) 5 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10321, -10268, -10151, -9970, -9725?\nAnswer: -9416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7057726 is divided by 2771.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - 666.9791459513.\nAnswer: -669.9791459513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 103988 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert b (base 12) to base 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -5*p - 17. Let d be c(-4). Factor 34*f - 9*f + 27 - 2*f + 21*f**2 + 3*f**d + 22*f.\nAnswer: 3*(f + 1)*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 69 = 4*w, -4*w + 5*w = -4*t - 344. Is 5 + -3 - -2 - t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-12)\/(-9))\/(-2))\/(17\/((-99450)\/(-100)))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v = 4*r - 6, 4*r - 2*r + 1 = 5*v. Suppose 4 - r = t. Suppose -t*w + 15 = p, -2*p - 5*w - 5 = -39. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 39073920 by 5.\nAnswer: 7814784","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 4273605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 n, and 1 y when three letters picked without replacement from {n: 1, i: 2, a: 1, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 55*w = -6*w + 122 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 197437 and 2148.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1252, 1251, 1250, 1249, 1248, 1247?\n\"Answer: -v + 1253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from tjvjk. What is prob of sequence vtvk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from ijjjjjjjjjijjijjij?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 252 = 5*h - 0*q + 4*q, -5*q - 10 = 0. Suppose m + 0*m + 2*s = 4, 0 = -4*m + s + h. Let o(f) = -2*f + 25. Determine o(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 6 - 8*d + 1\/2*d**3 + 3\/2*d**2 = 0. Calculate d.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) -5 (c) 0.279 (d) 0.4 (e) 0.0473\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 13436*v**2 - 37949 wrt v?\nAnswer: 26872*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:22 PM and 12:37 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4)\/(-6) - (-1722)\/9. Suppose -5*s = -s - o. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the second derivative of -p**4\/21 + 60*p**3\/7 + 26*p**2 - 9*p + 62. Factor s(u).\nAnswer: -4*(u - 91)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**3 - 7*v**2 + 55*v + 63. What is t(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 32 = -2*y, -43 - 21 = -4*y + 3*z. Suppose y = m + 11. Solve -m*k + 0*k + 25 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 2*f - 8 - 12 = 0, -1 = -3*o - f. Solve l + 3 = o*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.1, -0.75, -2\/11, 13, 0.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2 + 6. Suppose 10 = 5*m, -5*i + 7*m = 4*m - 154. Calculate the remainder when 17 - ((-1)\/(-4) + 56\/i) is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {x: 5, m: 3, p: 1, t: 1, y: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -7 + 49. Let o = s - -76. Suppose 3*p - p - o = 0. Does 17 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/6352 and 37\/20?\nAnswer: 31760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 - 4*u - 5. Calculate r(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (1 - (-1 - -2) - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.18904833 and -33.\nAnswer: -33.18904833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3578128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = -5*k + 2*l, 2*k - l + 3*l = 22. What is the remainder when (27 - 3)\/(-2)*(-66)\/k is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the second derivative of i**5\/20 + 13*i**4\/12 + 7*i. What is c(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7 - (50 + -12)) + -12?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 124 a factor of 309752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k. Let x(a) = -9*a. Suppose -621 + 624 = -3*h. What is h*x(v) + 12*r(v)?\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 63\/311 + 1913\/5909. Is w <= -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -1550*j + 40305. Give u(26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001434288 to 5 decimal places.\nAnswer: 0.00143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 383 + 105 = -61*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:59 AM and 1:54 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -462707 by 24353.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 957 is divided by 111.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 852550695?\nAnswer: 3, 5, 1447, 13093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 484964*n**2 - 121035*n**2 - 121312*n**2 - 121312*n**2 - 121313*n**2.\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/y**(1\/4))**(-9)\/(y**4)**(-4\/19) assuming y is positive.\nAnswer: y**(-449\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -889, -894, -899, -904, -909, -914?\nAnswer: -919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -8562 times 409?\nAnswer: -3501858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m - 2*m = 1964. Suppose -7*w + 6283 = m. What are the prime factors of w?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -8*w - 28. Suppose -9*v - 60 = -4*v. Is c(v) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -226*x**3*y + 12*x**2*y - x**2 + 2*x*y wrt x?\nAnswer: -1356*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.43 - -1.57. What is the third smallest value in -2, w, 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - -10090.\nAnswer: 10084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9 and 975.\nAnswer: 2925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (-g**3 - 3*g**3 + 2*g**3 - 1 + 21*g)*(2 + 1 - 2) + (-4*g + 4*g + g**2)*(0*g - 2*g + 0*g) as n*g + m*g**2 + v + f*g**3 and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 86b (base 14) to base 8.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 6 (base 8) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 1857511933 and 1.15.\nAnswer: 1857511934.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 3027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 663 (base 8) in base 10?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 758004.1t?\nAnswer: 758004100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3649670 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: Convert 6d3 (base 14) to base 16.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9271247 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + -321422320433?\nAnswer: -321422320433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 32695 - 768772 - 353187 = -16504*u for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1687285, -1687300, -1687325, -1687360, -1687405, -1687460?\n\"Answer: -5*w**2 - 1687280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 274 minutes after 5:13 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -2*l + 32, -14 = -35*l + 31*l - 2*p. Calculate the greatest common divisor of l and 1662.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -25995782, 4, 1, 2 in decreasing order.\nAnswer: 4, 2, 1, -25995782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 4, 3, -0.3 in ascending order.\nAnswer: -2, -0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) be the first derivative of -12*k**5\/5 + 5*k**2\/2 - 3. What is the second derivative of p(c) wrt c?\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 3\/2 and 258.88 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1075966118?\nAnswer: 2, 229, 2349271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b = -2*p + 15 + 62, 0 = -3*p + 3*b + 78 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -8 - -10. Suppose -3*c = -15, 39 = 11*d - 7*d - 5*c. Calculate the highest common factor of n and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 490\/8 - (-2)\/(-8). Let z = -63 + w. What is the tens digit of 2\/4 + (-179)\/z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -3060*g - 4. Let h(f) = -5*f - 2. What is -2*h(x) + t(x)?\nAnswer: -3050*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 3, b: 3, u: 1}. Give prob of picking 1 u and 3 b.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 115*n = -490 - 85 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 18*l**3 - 6*l + 9*l**2 - 11*l**2 - 48*l**3 + l**2 wrt l.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(153) - (sqrt(153) + -2))*-3)**2.\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 - 13*s**2 - s + 8*s**2 + 3*s**2 to the form x + l*s + z*s**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 747526464?\nAnswer: 2, 3, 463, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**2 + 7*r + 2. Let c = -20 + 22. Suppose -10 - 1 = -3*n - u, c*n - 30 = 5*u. List the prime factors of w(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1714172725?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -71, -561, -1891, -4481, -8751, -15121, -24011?\n\"Answer: -70*i**3 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = w - 2*w + 232, -4*w = 0. Suppose -f = -8*z - 28. Suppose 0 = -7*t + 6*t + z. What is the remainder when 42 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.059 - 6.041. Let k = i + 6. Which is the biggest value? (a) k (b) 2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2 - 8*r - 10. Let o be k(-5). Solve -5*q + 20 = o*y, -4*q - y + 2*y + 1 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bak when three letters picked without replacement from batpafffbaak?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 945 or 21957?\nAnswer: 21957","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let q = -4942 - -10915. Is 140 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-8)*(4\/(-200))\/((-6)\/12).\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38 + 5353*d + 38 + 1430*d.\nAnswer: 6783*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 1 - 2)*(-31 + 31 + 5*s) as u + v*s and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*y - 7 + 15*y - 5*y)*(18 - 27 - 8) to s + a*y and give s.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 744 - 267. What is the highest common divisor of 265 and w?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -247392080 divided by -20\nAnswer: 12369604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0 + 0)*(4*p**3 + 5*p**3 - 3*p**3)*(-4 + 3 + 2)*(-2 - 1 + 4).\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u**5\/4 - 1056*u**4 - 25393*u**3\/2 - 48699*u**2 - 254135*u\/4 - 26475 = 0. What is u?\nAnswer: -5, -1, 4236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -3 - (-6 - (2 + (-2 - 3)))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 166988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1383*w**2*x**3 - w**2 - w*x**3 + 2*w - 35*x**3 wrt w?\nAnswer: -2766*x**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(1008) + 1 + -4 - (0 + sqrt(1008) + 3))**2 + (-5*(2 + (sqrt(1008) - -1*sqrt(1008)) + 4))**2.\nAnswer: 7200*sqrt(7) + 101733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6 - 17 + 2*f**2 - 43 to l*f**2 + x*f + m and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-14) - 36\/(-21). Suppose -43 = m*b - 149. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1422000 rounded to the nearest ten thousand?\nAnswer: -1420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.29 (b) 30 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 105459004 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Are 11191 and 11194 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j*j**(3\/16))\/j)\/j**(-7) assuming j is positive.\nAnswer: j**(131\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*1*sqrt(117)*-2*2)\/((-3*sqrt(63))\/sqrt(7) - (sqrt(324) + sqrt(324)*-3)).\nAnswer: 8*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*n - 3*p - 7, -11 = -3*n - n + 3*p. Let y(o) = 3*o - n*o + 6 - 4. Determine y(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 2*m**3 - 15*m**2 + 11*m - 24. Let h be x(7). Factor 0 + 4\/3*t**3 + 2\/9*t**2 + 0*t + 8\/9*t**5 + 2*t**h.\nAnswer: 2*t**2*(t + 1)**2*(4*t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 3*z**2 + 2*z + 1. Let k be (-4)\/12 - (-8)\/(-12). Let f(b) = -b**3 + 2*b + 2. Let u be f(k). Let h(p) = -p**2 - p - 1. Calculate u*h(r) + l(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = 55*u**3 - 3*u**2 - 68*u + 3. Let o(t) = -56*t**3 + 4*t**2 + 68*t - 4. Let j(i) = 3*o(i) + 4*z(i). Find the second derivative of j(p) wrt p.\nAnswer: 312*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cxmmsmmmxmfmcfffx. What is prob of picking 2 f?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 308187.\nAnswer: 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 28288 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1214066 minus -22.8223?\nAnswer: -1214043.1777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2 + 0 + -6 + -14 + 17\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -184767, -739022, -1662767, -2956002, -4618727, -6650942, -9052647?\nAnswer: -11823842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Do 109 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g be (7*-3)\/(3\/(-2)). Suppose -4*d = -r + 5, -g - 1 = -3*r - 4*d. Suppose -3*j + 51 - 5 = 5*m, r*j = -m - 4. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -330322031 (base 4) to base 9.\nAnswer: -420205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1204896260, 2409792520, 3614688780, 4819585040?\n\"Answer: 1204896260*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 18169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*u = 27 + 30. Let v(c) = -c**2 - 7*c + 102. Let a be v(-14). What is the highest common divisor of a and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 13860932 and 0.5.\nAnswer: 6930466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = -4*p + 3. Sort p, 0, 7 in ascending order.\nAnswer: 0, p, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 6, 16, 42, 90, 166, 276, 426?\n\"Answer: v**3 + 2*v**2 - 3*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/15? (a) -4 (b) 5 (c) -5 (d) 21.3 (e) -638\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 91549?\nAnswer: 83, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -7? (a) 2 (b) 3235 (c) 292\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -9*z + 7*z + 375 + 122 + z to the form p + j*z and give p.\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 142.7 - 150. Let r = 13.2 - d. Let j = -0.1 + r. What is j rounded to 0 decimal places?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 53.38497 micrograms to kilograms.\nAnswer: 0.00000005338497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine o so that -89*o**2 - 80 + 30*o**4 - 140*o**5 - 11*o**2 + 44*o**5 + 40*o**5 - 25*o**3 + 51*o**5 + 180*o = 0.\nAnswer: -2, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -834 + 838. Sort 11, -3, -1, i in decreasing order.\nAnswer: 11, i, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 16309474 and 628?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 395209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -7*i - 37. Let h be j(-6). Which is the smallest value? (a) h (b) -3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of 10*z + 0 + 1\/6*z**3 - 1\/12*z**4 - z**2 + 1\/20*z**5. Calculate n(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from npnppcpnpppppcnpn.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Express 26 + 29 + 359*g + 4*g**2 - 58 - 321*g as l + y*g**2 + r*g and give r.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 41 = -2*p + 96, 2*p = 0. Let z(o) = o**3 + 11*o**2 + 9. Let k be z(w). Let g = -0.74 - 0.26. Is g not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10514437 (base 9) to base 16.\nAnswer: 4da331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(252) + -1 + 4)**2 + ((sqrt(252) + -4 + 1 - sqrt(252))**2 + sqrt(252) - sqrt(252)) + 1.\nAnswer: 36*sqrt(7) + 271","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 5*n - 7*n. Let g = 8 + n. Suppose -323 = -5*s + g*y, -s - s + 119 = -5*y. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6.83 + 0.33. Let g = s - -0.5. Which is the third smallest value? (a) 0.2 (b) -2 (c) -0.4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 2, m: 2, h: 4, f: 3, v: 1, n: 8}. Give prob of sequence hvfn.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 36*c**2 - 4*c - 4. Let p be l(-3). Let b = p - 95. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 2*j**2 - 5*j. Let f(x) be the third derivative of 0*x + 0*x**3 + 9*x**2 - 1\/24*x**4 + 0. Calculate 10*f(n) - 2*s(n).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.049865134 rounded to five dps?\nAnswer: 0.04987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 9*w**2 + 4*w + 3. Let j(r) = 4*r**2 + 2*r + 1. Let x(c) = 7*j(c) - 3*u(c). What is the tens digit of x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -10*((-215)\/(-25) - 9). Solve -2*s + y*m = 6, 3*m + 2 = -s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 785952?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (3 - -20 - 10) + -28\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u - 5. Let o(k) = 4. Let c = -16 + 19. Suppose -2*d - 13 = -d + 3*g, 5*d + 2*g = 0. Determine c*o(j) + d*z(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-153)\/(-12) + 3\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -8 - -11. Suppose -x - 2*x - 149 = -5*l, -v*x - 4*l = 140. Let w be x\/(-9) - (-2)\/(-6). Solve 4*g = 3*s - 0 - 3, w*s + 27 = -4*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (90\/72)\/(2\/24). Let z = t - 35. Let b(d) = -6*d**2 - 10. Let y(i) = -i**2 - 1. Let m(x) = z*y(x) + 2*b(x). Let h(c) = 3*c**2. Determine m(h(s)).\nAnswer: 72*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -9 + -8ab7?\nAnswer: -8ac3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*c**3 - 4972 + 9949 - 4977.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*q - 342 + 1371 = 0. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 325736962 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 r = -29 - -43. Let d = 87 - 62. Calculate the remainder when d is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3782542968?\nAnswer: 2, 3, 349, 50177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = 3*i + 209 - 89, 5*g + 97 = -4*i. Put 2, 9, -1, i, 1 in decreasing order.\nAnswer: 9, 2, 1, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = m - 10. Calculate the least common multiple of m and 28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 381 - 380.9785. What is p rounded to 3 dps?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2, 66, -451, 210?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 19, -13763, -5?\nAnswer: -13763","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1\/514 + -261\/2056. Which is the closest to 1? (a) y (b) 5 (c) -1\/4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 9.95, -5, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (3 + 27\/(-6))\/((-1)\/226). Suppose 2*t + 1353 = 4*h + j, 2*t + 762 = 3*h. Is 36 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = z**3 + 10*z**2 + 7*z - 101. What is j(-11)?\nAnswer: -299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-114)\/(-76))\/((-222)\/(-6364)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-5\/3))**(-25\/3)*(h*h\/(h**(2\/23)\/h))**7)**15 assuming h is positive.\nAnswer: h**(-1895\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vv when two letters picked without replacement from {h: 1, v: 17}?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5\/43 + 28\/129. Let u(v) be the third derivative of -v**2 + n*v**3 - 1\/30*v**5 + 0 + 0*v + 0*v**4. What is the first derivative of u(g) wrt g?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (8261\/7510)\/(198\/135). Determine q so that -l*q**3 + 3\/4*q**2 + 1\/4*q**4 - 1\/4*q + 0 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 + -9 + (15 + (-9 - 2) - 19)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-305)\/25 + 3 + (-403)\/(-65) + -6.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yjy when three letters picked without replacement from {f: 2, s: 1, j: 1, e: 3, y: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/(-26) - 504\/(-104). Let o(w) = -w**2 + 5*w - 6. Let j be o(4). Let c = j + 2. Solve -t + 3*x + 9 = 0, c = 2*t - 6*t - y*x - 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/3 - 1\/3*x**3 + 4\/3*x - 1\/3*x**2.\nAnswer: -(x - 2)*(x + 1)*(x + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -15 + 5. Let h be (-9000015)\/c - (-9)\/(-6). What is h rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5 and 285.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-1\/5)*j**(-1)\/j*(j*j**(2\/3))**26)**29 assuming j is positive.\nAnswer: j**(18328\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 624 minutes before 12:18 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y - 8. Let k be 2\/(-5) + (-38)\/5. Let o be i(k). Suppose 3*v + 2*v - 95 = o. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*r - 5*i + 51 + 41, -3*i = 4*r - 84. Solve 0 = -r*x + x - 85 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00095522 to 5 decimal places.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -471, -944, -1417, -1890?\nAnswer: -2363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-36)\/(3\/1))\/(((-126)\/40)\/((-2667)\/(-889))).\nAnswer: 80\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37.6*-0.528.\nAnswer: 19.8528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*p - 400*p + 83*p - 19710 = 400*p for p.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -4*y**2 - 172*y - 165. Let q be t(-42). Sort -421, 8, q in decreasing order.\nAnswer: 8, q, -421","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.123 + 0.173. Which is the third smallest value? (a) 0.5 (b) 0 (c) 2\/15 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 23 + -34. Let m = 19 - u. Suppose 0*g = -5*k + 2*g + 42, m = k + 5*g. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 3*n**3 + 4*n**2 - n - 1. Calculate the remainder when 358 is divided by g(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the third derivative of 0 - 7\/12*f**4 - 3*f**2 + 1\/6*f**5 + 2\/3*f**3 + 0*f. Factor k(a).\nAnswer: 2*(a - 1)*(5*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 56 and 2280?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -2805 != -2857?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 833.5605 millennia to decades.\nAnswer: 83356.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -190? (a) -65\/3 (b) 0.5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*o + 2*o**3 + 122031 - 2*o**2 + o**2 - 122031 to the form g + w*o**2 + z*o**3 + j*o and give j.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -4 + (-14 - -8) + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be -10*-2*(-10)\/4. Let n = 53 + t. Sort n, 2, -5, -9 in increasing order.\nAnswer: -9, -5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j - 30*c + 13*c + 1960, -3*c + 480 = j. Calculate the greatest common divisor of j and 192.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x - 28 = 4*x. Solve -f = 3*z - 2, x*f + 22 = z + 2*f for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*c = 56*c - 495 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((sqrt(30) + -6*sqrt(120)\/sqrt(4))\/sqrt(216))**2.\nAnswer: 17\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 551539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 23093666*r**3 + 11*r - 142181?\nAnswer: 138561996*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of b**4\/4 + b**3\/3 + b**2 - 8*b. Let v(s) = -36*s**2 + 52 - 21*s - 73 + 6*s**2. What is 63*m(a) + 6*v(a)?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 86.16 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 58*j**5*y - 3*j**3*y**2 - j**2 + 58*j - y**2 wrt j?\nAnswer: 1160*j**3*y - 18*j*y**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -3783 < -3783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times 0.128?\nAnswer: 0.256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (((-30)\/(-50))\/(15\/(-10)))\/(468\/60)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out -253 * -7.\nAnswer: 1771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-97) - 26598018\/(-349879)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -430, 4 in decreasing order.\nAnswer: 4, 0, -430","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**3 + 4*g**2 + 5*g + 3. Let u be c(-3). Let q = 719 + -709. Sort u, -0.5, q in descending order.\nAnswer: q, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 80077805?\nAnswer: 5, 31, 37, 13963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12684 - -7752. What are the prime factors of s?\nAnswer: 2, 3, 13, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -48 + 53. Does -2 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -3219*j - 61190. Determine i(-19).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**3 - 5*r**2 + r + 6. What is l(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 83326217 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 525296.\nAnswer: 2, 32831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7965 in 3, 35, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 - 2 + 2)*(-21 + 34 - 57) + 1 + 5 + 2)*(-2 + 0 + 0)*(r**2 + 6*r**2 - r**2).\nAnswer: -624*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -260 + 237. Let k = 17 - -11. Let i = k + -25. Which is the nearest to -1? (a) n (b) -3\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -2*l**2. Suppose 3*y + 4 + 5 = 0. Let w be 3\/(y\/(-6)*2). Let g(d) = d**2 - 3*d + 0*d**2 + w*d. Determine g(h(o)).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -26.1 + 25. Let a = -1 - v. What is the closest to 0 in -1\/5, -2\/11, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*h**4 - 20*h**3 + 3*h**2 - 5*h + 406 wrt h.\nAnswer: 24*h**2 - 120*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*q - 1698 - 1087. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -15853 * 130.\nAnswer: -2060890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 63466306 to the nearest integer?\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1 + -14637a0?\nAnswer: -14637a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1352\/(-338) + 2*2326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and -15716.045.\nAnswer: 62864.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 590 - 586. Suppose f + 4*n - 142 = 0, -l*f - 4*n + 249 = -259. Is f a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 2*n**2 + 8*n - 13. Let r be u(6). Suppose q + 2*a = 133, -r - 36 = -q - 4*a. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-99 + 436 + 302)*(-5*p + 3*p - 2 + 4*p).\nAnswer: 1278*p - 1278","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15959?\nAnswer: 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 3069037559?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-3*((sqrt(117)*-2*-4 - sqrt(117))**2 - -3*-2*sqrt(117))*1.\nAnswer: -216*sqrt(13) + 68796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 3, p: 6, g: 1, l: 3}. Give prob of sequence kpl.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -g + 575 + 88, -o + 3*g = -182. Solve o*y - 174*y = -7 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 32752740 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -25884 divided by -1438?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-44 - 13) + -9 + 21 - -2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 + 5. Let q be -1*((-6)\/2 + v). Suppose q*i = -i + 45. Calculate the remainder when i is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -16*j**2. Let i(s) be the second derivative of s**4\/12 + 5*s. What is a(i(w))?\nAnswer: -16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 61*h - 4 + 3 - 1 - 5. Let u(p) = p**3 - 3*p**2 + 12*p - 17. Let m be u(2). What is the hundreds digit of v(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.22 and -0.33.\nAnswer: -0.0726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 + 1122233032?\nAnswer: 1122233023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*l = -26*l + 2093. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the second derivative of a**5\/60 + a**4\/3 - 10*a**3\/3 + 7*a**2\/2 - 110*a - 2. Let q(c) be the first derivative of t(c). Factor q(x).\nAnswer: (x - 2)*(x + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0*(-1 - 24\/(-20)). Suppose w = -4*x - 25 + 89. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the second derivative of -p**3\/3 - 212*p. Let t(v) = 150*v**2. What is m(t(o))?\nAnswer: -300*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -37, 5, -1231, -5.\nAnswer: -1231, -37, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r**4 + 160*r**3 - 2076*r**2 + 9520*r - 7600 = 0. Calculate r.\nAnswer: 1, 10, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 212571?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h - 4*k = -12, 2*h + 3*k - 349 = -688 + 347 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (4 + 0 + 1)*(d - 6*d + 2*d)*(d**2 - 3*d + 3*d) + 0*d**2 - 2*d**3 + 0*d**2 as u*d**3 + o + y*d**2 + h*d and give u.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = -35*n**2. Let j(m) = -20*m - 9. Let v(z) be the first derivative of 9*z**2\/2 + 4*z - 25. Let h(w) = -4*j(w) - 9*v(w). Calculate b(h(p)).\nAnswer: -35*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put -0.07, 1\/4, 854, -4\/5, -1, -13 in increasing order.\nAnswer: -13, -1, -4\/5, -0.07, 1\/4, 854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 0.014, 3\/7, 4 in decreasing order.\nAnswer: 4, 3\/7, 0.014, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssjrssssjjrdzlr. Give prob of sequence rjlz.\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a**2\/7 + 365062*a\/7 - 365048 = 0. What is a?\nAnswer: 7, 182524","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -11989 - 0.2\nAnswer: -11989.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1700 - -1693. Suppose 0 = 3*d - 2*d - 13. Let w = a + d. Let y(j) = 4*j**2 - 6*j + 1. Let p(i) = 5*i**2 - 7*i + 1. Determine w*y(x) - 5*p(x).\nAnswer: -x**2 - x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t = -2*h + 30, 3*t + 59 - 128 = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (84\/112)\/((-3)\/4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*r**5 + 5*r**5 + 0*r**5 + (2*r**2 + r**2 - 2*r**2)*(15*r**3 - 73*r**3 + 33*r**3).\nAnswer: -23*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 4*b + 6, -5*g + 5*b - 2*b + 13 = 0. Let q be (16\/(-56) + g\/7)\/1. Let z be -1 + (-1 - (-3 + -3)). Put z, -5, q in descending order.\nAnswer: z, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -1 + 1 - b + 6*b. Let s(u) = 9*u. Let j(v) = -4*s(v) + 7*t(v). Let x(g) = -g**2. Determine j(x(y)).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -326 divided by 2\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -o**2\/2 + 75359*o\/2 + 1357110 = 0.\nAnswer: -36, 75395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - 3)\/((-14)\/8). Let c be 3\/6 - (-1)\/2. Which is smaller: c or r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/29 or 6075?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 7*r**2. Let x(p) be the third derivative of p**6\/72 + 23*p**3\/6 + 27*p**2. Let j(t) be the first derivative of x(t). Determine m(j(n)).\nAnswer: 175*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -705 + 708. Solve -a + 0*a - 1 = -b, n*b - 1 = 5*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lff when three letters picked without replacement from {l: 1, f: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4*(-2)\/32)\/(12\/60)?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -48 - -120. Suppose i = 3*t - 45. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -341 + -104?\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -639 + -4?\nAnswer: -643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that 2*m**4\/3 - 76*m**3 + 6266*m**2\/3 + 4408*m + 6728\/3 = 0.\nAnswer: -1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 11 minutes before 7:03 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 638 bigger than 234898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 36895 + 0.11152?\nAnswer: 36895.11152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the third derivative of -7*b**4\/4 - 32*b**2. Let v(u) = 17 - 7 - 14*u + 3 - 5. Let c(i) = -5*i + 3. Let z(q) = 8*c(q) - 3*v(q). What is z(a(m))?\nAnswer: -84*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**2 - 1. Let s(a) = 7*a**2 + a - 2. Give -2*q(g) + s(g).\nAnswer: 5*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6537?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4820 + 4821. Which is the second smallest value? (a) 2\/5 (b) o (c) -2\/13 (d) -4\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(176)\/sqrt(16).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -x**3 - 17*x**2 + 37*x + 14. Calculate the remainder when 126 is divided by a(-19).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 165039037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 - -3. Let x be (-6)\/(-9)*(-1)\/2. Is d smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -370386*y**3\/7 - 253422*y**2\/7 - 57798*y\/7 - 4394\/7.\nAnswer: -2*(57*y + 13)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -5, -3, 0.61, 7?\nAnswer: 0.61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4938 and 20.\nAnswer: 49380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the first derivative of 7*n**4\/4 - 6*n**2 + 513*n + 201. What is the derivative of x(a) wrt a?\nAnswer: 21*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19 + -21. Let z = -1.9 - s. Are 5\/3 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = w**2 + 5*w - 1. Let o be n(-6). Let a(y) = y - 5. Let k be a(o). What is the second derivative of -r + k*r**4 + r**4 - r wrt r?\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2482278 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.8 + -1. Let f(w) = w**2 - 2*w. Let k be f(3). Suppose d + 0*d + k*j = 1, -5*d - 27 = -j. Put l, d, 4 in decreasing order.\nAnswer: 4, l, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32484, 64952, 97364, 129690, 161900, 193964?\nAnswer: 225852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes before 11:18 AM?\nAnswer: 9:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -28381139, -28381182, -28381225, -28381268, -28381311?\n\"Answer: -43*a - 28381096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 3*p. Let q(k) = -6*k. Let a(r) = -4*r. Let f(t) = -5*a(t) + 4*q(t). Give y(f(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 444485 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Multiply -4 and 91680.\nAnswer: -366720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -56, -51, -40, -23, 0, 29?\n\"Answer: 3*k**2 - 4*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (21 + 8 + 7)*(2*c - 3*c - c)*(35*c + 6*c - 5*c) to the form k*c**2 + v*c + h and give k.\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4.4 + -4.5. Let b = 4 - 5. What is the closest to b in 0.1, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31585 - 32345 = -13*p - 27*p for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 2115975?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/2*133110\/(-2610)*(-2)\/(-3)*2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yghyyhhyhhgxhh. What is prob of sequence gg?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 192*x**3 + 338544*x**2 + 156949947*x + 21849408504 = 0.\nAnswer: -1128, -2541\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-66)\/21)\/(2\/(-14)). Let r(g) = 6*g**3 - 16*g**2 - 26*g + 1. Let a(o) = 5*o**3 - 17*o**2 - 27*o + 2. Let y(l) = -5*a(l) + 4*r(l). Does 16 divide y(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 12 + -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9185954.\nAnswer: 2, 139, 173, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**(-4))\/y**0)\/(y**(-1\/5)\/(y*y\/((y**3*y)\/y)*y))*(y*y\/(y\/(y*y**(-1\/4))))\/(y**(-1)*y)*(((y*y**(3\/5)\/y)\/y*y)\/y)\/y**(2\/7) assuming y is positive.\nAnswer: y**(877\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 13860924 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -17*t**2 + 9*t + 13. Let m(h) = -50*h**2 + 26*h + 38. Let a(o) = -17*j(o) + 6*m(o). Let i(d) = 7*d**2 - 2*d - 5. Determine 5*a(c) + 7*i(c).\nAnswer: -6*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify m\/(m\/m**5)*m*m\/m**(-9)*(m\/(m\/(m**0\/m*m)))**(-2\/23) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) be the third derivative of n**4\/24 + 3*n**3\/2 - 2*n**2. Suppose -o - 4*o = 20. Let v = o + 4. Give d(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48 divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 11\/28487 (b) 0.5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 1, o: 3, x: 6, g: 5, c: 3}. Give prob of picking 2 o, 1 d, and 1 x.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 606 - 575 - 516\/15?\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 59, 144, 263?\nAnswer: 416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the second derivative of -3\/20*d**5 + 1\/12*d**4 - 22*d - 11\/3*d**3 + 0 + 0*d**2. Find the second derivative of r(n) wrt n.\nAnswer: -18*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: Put -6491\/18, 7, 3, 10 in ascending order.\nAnswer: -6491\/18, 3, 7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -11885771\/18 or -660321?\nAnswer: -11885771\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1667 is divided by 1647.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) + sqrt(98) + -3 - sqrt(2) - (1 + sqrt(2) + 4))**2*2.\nAnswer: -192*sqrt(2) + 272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 229.2 - 3.63\nAnswer: 225.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 4 + 2)*((3 - 3 + 1)*(2 - 1 - 2) + (66 + 51 - 56)*(-1 - 2 + 2) + 2 - 2 - 1)*(-2*p + 4*p + 14*p).\nAnswer: -1008*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o**2 + 17*o. Let g(r) = -414*r**2 - 414*r**2 + 0*r + 815*r**2 + 0*r. Give v(g(t)).\nAnswer: -169*t**4 - 221*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(190) + -3*-1*sqrt(190))\/sqrt(10).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from fyfyyffyyfffyyffyyf?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -10*u**3 - 1. Let d be q(-1). Let s(b) = 5 + 2 + 3 - 15 + 5*b + 5*b - b**2. Calculate s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31808611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -214, -5, 0.5, 4, -1\/3, 11\/30, 0.01?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - ((6 - (-2 + 7)) + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -2*k + 16. Let t(w) be the first derivative of -3\/4*w**k + 2 + w + 0*w**2 + 0*w**3. What is the first derivative of t(d) wrt d?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 + 6 - -3 - ((-21 - -48) + -14).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**3\/21 - 20686*l**2\/21 - 268444*l\/21 + 1404880\/21 = 0. Calculate l.\nAnswer: -10330, -17, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 2*g = -19, -5*q + 4*g + 7 = -10. Let o be 3*q\/15 - 4. Put o, 12, -1 in descending order.\nAnswer: 12, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -508 - -678. What is the remainder when r is divided by 43?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 3 c when four letters picked without replacement from iiiiiicicc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -4*f + 12. Suppose 0*h + h = 4*b - 10, f*h + 2 = -3*b. Solve 3*a + 3 = b*j, -5*j + 0*j + 5*a + 5 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -82 (b) -2\/3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 594361 and 9685?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of w**4 - 34*w**3 + 207*w**2 wrt w.\nAnswer: 24*w - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 93576.\nAnswer: 2, 3, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -2 - (2 - (10 + -26 + 16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -4.749 + -0.051. Let b = l + -24.2. Let q = b + 26. What is the third biggest value in 0, q, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i + 2*t - 7*t - 11, 3*i + 3*t - 33 = 0. Suppose -7*o - 104 = -i*o. Calculate the highest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 74\/9 and 20\/52737?\nAnswer: 158211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-13)*h**44*h**(-13)\/((((h**(-16)\/h*h*h)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 2 - 87?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 10535?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 7, -835083, -1 in descending order.\nAnswer: 7, 4, -1, -835083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that 7*b**3\/5 - 465837*b**2\/5 + 33570452*b\/5 - 4786272\/5 = 0.\nAnswer: 1\/7, 72, 66476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1749 and 227317.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:18 PM and 3:25 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 6*d**2 - 2*d - 7. Let l(o) = 5*o**2 - o - 6. Let x be -8 + (-2 - (-224)\/24) - 28\/12. Give x*g(h) + 4*l(h).\nAnswer: 2*h**2 + 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is c in -3*c**2\/2 + 1173393*c\/2 - 1173387 = 0?\nAnswer: 2, 391129","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - k + 46 = 0, -157 + 197 = 4*d + 4*k. Solve n + 4*y + 29 = 52, -2*n - d = -3*y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1 + 203415?\nAnswer: 203420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.99 + -0.01. Let r = -17.3 - -15.3. Which is the nearest to r? (a) m (b) -5 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66679 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 11, 62, 0.\nAnswer: 0, 11, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -85\/150320198 and -52\/49?\nAnswer: 1052241386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 7*t + 73. Let f be 0 - (609\/(-116))\/(2\/8). Is x(f) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 41*p - 416. Let u(b) = -8*b + 79. Let m(t) = 2*k(t) + 11*u(t). Suppose 2*v = 5*y + v - 32, -6 = 3*v. Calculate m(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 28*f + 640. Let n be a(-23). Suppose -21 = -h + 8*h. Sort h, n, -5, -18.\nAnswer: -18, -5, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n be (30\/9)\/((-4)\/(-162)). Let l be 4\/n*15\/6. Let x = l - -77\/54. Which is bigger: x or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 6*d = -15. Suppose -4*t - 3*g + 20 = 0, d*t - 7 = g + 8. Suppose -t*c - 30 = -80. What is the smallest common multiple of 16 and c?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.09 and 200.722?\nAnswer: -18.06498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hmh when three letters picked without replacement from mmmmmmmhhmhmmmmhhm.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*t**3 - t**3 + 7*t - 2*t wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:10 PM and 11:09 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(-4\/9)\/t)\/t)\/t**(1\/13))\/(t**(4\/3)*t*((t\/(t\/t**6))\/t)\/t)*(t**(-2\/5))**10\/((t\/t**(-2\/7))\/t)**(-2\/41) assuming t is positive.\nAnswer: t**(-431180\/33579)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 7*i**3 + 9*i**2 - 9*i - 431. Let u(a) = -3*a**3 - 4*a**2 + 4*a + 215. Let c(k) = 4*g(k) + 9*u(k). Is c(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -20 in 0.5, -0.26, -0.5, -17, 0.3?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 55 and 308?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sum 11785.8 and -0.2.\nAnswer: 11785.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -1398597 at most -1398576?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-8)*(-1 + -2 + 3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 932167.7 micrograms?\nAnswer: 0.9321677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -370*f**2 + 538*f**2 - 166*f**2.\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 30 = -2*k, -o + 2*k = 6*k - 9. Calculate the greatest common factor of o and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101795 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the second derivative of 11*m + 0 + 5*m**2 - 1\/6*m**3. Determine h(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*h + 4*h + 9 = 0. What are the prime factors of (-1 - -2)*82 + (h - 4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - -4. What is the common denominator of 35\/((-8050)\/(-20)) + ((-3451)\/276 - -3) and k\/3*(-93)\/10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 8\/(-3 + (3 - 2)). Let q be 13 + (-2 - (-8)\/i). Let r(m) = -3*m - 28. Let z(v) = -2*v - 14. Let k(g) = 3*r(g) - 5*z(g). Give k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 5199550 and 0.285846.\nAnswer: 5199550.285846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -30504098*k**3 - 11365264*k wrt k?\nAnswer: -183024588*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 693 and 11.\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 117754.\nAnswer: 2, 7, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 2*b - 19, -2*g + 1 - 7 = 0. Find the first derivative of -29 - 7*r**2 + 12*r**2 - r - 7*r**2 - 9*r**b wrt r.\nAnswer: -22*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1451 - 1491 = -10*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 246*d. Let z(p) = -14*p. What is z(f(r))?\nAnswer: -3444*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - (3 + 1)) + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-4)\/(-10))\/((-2)\/(-80)). Let w(x) = 2*x**2 - 17*x + 17. Let y be w(6). Let h = y + a. Solve h*r - 7 = 5 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i - 3*i + 6*i)*(-33*i + 11 - 11).\nAnswer: -165*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -153*m = -5*v - 147*m + 196, 216 = 5*v - m. What is the remainder when 26573 is divided by v?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 193428.0303 to 0 dps.\nAnswer: 193428","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 152705?\nAnswer: 5, 7, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1120 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaattaaaaaaaaaaaaaa. What is prob of sequence att?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1240560193 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -3175*v - 3182*v - v**2 + 6357*v. Let l(z) = -10*z**2 - 29. What is l(w(j))?\nAnswer: -10*j**4 - 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d = -4456 + 4785. What is the remainder when 2462 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 583 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -204*v - 214*v = 137*v - 5783 + 1343 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*g**2 + 194*g**3 - 203*g**3 - 3*g**2.\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 - (13 + -1)\/2. Let k(p) = 131*p - 12. Let i(z) = 109*z - 13. Let g(o) = -6*i(o) + 5*k(o). What is g(s)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 28 and 25.36?\nAnswer: 2.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n = -3*g + 105, 28*g + 44 = 12*n - 8*n for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the first derivative of -269*s**2\/2 + 1936*s - 1129. Find the first derivative of z(k) wrt k.\nAnswer: -269","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -1\/7853368?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**4 + 99*u**3 + 759*u**2 - 1071*u - 1734.\nAnswer: 3*(u - 2)*(u + 1)*(u + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 91233780.9 to the nearest one million.\nAnswer: 91000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*z**3 + 19*z**3 - 62*z**3.\nAnswer: -34*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand -t**5 - 38*t**2 - 4*t**5 + 39*t**2 + 2*t**5 + 2*t**5 + 3*t**5 - 3*t**5 + (-2*t**3 - t + t)*(4*t**2 + t**2 - 3*t**2) + 0*t**5 + 0*t**5 - 2*t**5.\nAnswer: -7*t**5 + t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 2025 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 159125698\/4515 + -246705\/7. Let h = 2246\/645 - 52\/15. Let o = c - h. Put 2, o, -3\/10 in decreasing order.\nAnswer: 2, o, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**2 + 5*w + 3. Let t be m(8). Let g = -20 - t. Solve -4*d = -5 + g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*i - 1757*i**3 + 17*i + 98728*i**3.\nAnswer: 96971*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m. Let p(g) = -119*g**2. Calculate p(y(o)).\nAnswer: -119*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = -1119*r - 80. Determine y(0).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 PM and 5:07 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z be 50\/(-10) + 34\/2. Suppose 8 = -5*q - 2*w, -2*w = -z*q + 13*q + 8. Suppose -o = -0*o - 4. Put o, -5, q, 5 in descending order.\nAnswer: 5, o, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 109, 326, 641, 1054, 1565?\nAnswer: 2174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 3*o - 11 - 0, -8 = -3*i - 2*o. Suppose -i - 8 = -5*g. Let v be 16\/20*25\/g. Solve 2*d + 0*d + v = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 28, -4, 2 in increasing order.\nAnswer: -4, 2, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 15289752 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*b - 15*b = 30. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + (-10 + 11 + -11 - -16)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most 96\/10790441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-2)\/(-4 + 227\/57) is divided by (1 + -3 + 3)*(2 - -27).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve i = 19*k + 83 + 79 - 45 + 10, 0 = 4*k - k + 15 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -53300 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 367995.4 decades to millennia.\nAnswer: 3679.954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u**2 + u + 820000. Let a = 11 + -11. Let b be l(a). Round b to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -5774*x**3 - 20*x**2 - 21*x - 2. What is the units digit of r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1902620.\nAnswer: 2, 5, 95131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*i - 4, 0 = 2*s + s + 3*i - 18. Suppose -f = -4*p - 33, -s - 38 = -2*f - 4*p. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3907\/3? (a) 253 (b) 0 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 - 2*g + 3. Let a be s(0). Suppose 2144 = 2*n - 5*k + 6*k, -a*n = k - 3217. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((8*13\/(-104))\/(4\/(-6)))\/((-42)\/(-8)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*b - 2*q + 4*q, -4*b + 2*q = -20. Suppose 0 = b*c - 22 - 42. What is the highest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 48595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 236777399?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -120*t + 9315 = -366*t - 159*t for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 - 8 - 58*y + y - 3.\nAnswer: -57*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*m = -2*m. Suppose m = y - g + 1, -10 + 3 = y + 5*g. Put 5, y, 2, -21 in ascending order.\nAnswer: -21, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2 + (-3 - -10)*-1. Let q be 20\/(-3)*(-6)\/4. Let g = q + n. Solve 5*k = 4*h - 2*h + 12, 2*h - 8 = -g*k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 7264 - 1.\nAnswer: 7263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a + 1. Let y(q) = -271 - 4*q + 3*q + 256 + 7*q - 2*q. Give 3*f(o) + y(o).\nAnswer: o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -825*y**4 - 22754*y**2 wrt y?\nAnswer: -19800*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -325 (base 10) in base 2?\nAnswer: -101000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -33*z - 7. Is j(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (16 + -18)\/((-2)\/19). Let r(p) = 2*p - 42. Let m be r(a). Put m, -3, 4 in increasing order.\nAnswer: m, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/(-90))\/((18*2\/48)\/(-3)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 264839341 to the nearest integer?\nAnswer: 642","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 312*c + 5933. Let o be x(-19). Let b = -29 - -55. Solve -w = 3*w - 3*g, o*g - b = -2*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -1962760.2 - 5.\nAnswer: -1962765.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -129\/15860 and -179\/468480.\nAnswer: 6090240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 45\/7, -6, -142 in descending order.\nAnswer: 45\/7, -6, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -96 - 69 + 0*r**2 - 103 + 24 + 2*r**2 in the form g + z*r + a*r**2 and give g.\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b**2 + 12*b - 55. What is the remainder when 36 is divided by o(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 70514 and 493600\/7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1816*o - 4675*o - 4343*o.\nAnswer: -10834*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 126 >= 6720\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, c: 1, w: 1, g: 4, h: 4, u: 7}. Give prob of picking 1 y and 1 h.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + 4 + 4. Let o = 4 + t. Suppose 4*v - 2*k = 26, -3*v + 13 + 5 = -o*k. What is the greatest common divisor of v and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*c**4 - 5*c**4 + c**3 + 0*c**3 + 2*c**4 + 3 - 3 + (0*c + 0*c - 2*c**2)*(2*c**2 - c**2 + c**2) + (867*c**2 + 15687*c - 15687*c)*(2*c - 2*c + 2*c**2).\nAnswer: 1730*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32822333.\nAnswer: 73, 449621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3972 - -3974. Suppose 1 = -k + 4. Solve 0 = 4*v + 8, -g*u + 9 = u + k*v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -82*g**4 - 62*g + 3. Let x(i) = -i - 1. Let v(t) = -j(t) - 3*x(t). What is the second derivative of v(a) wrt a?\nAnswer: 984*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = 5*a - 91, 2*a - 5*a = 4*g - 39. Let f(j) = -38*j**2 + 65*j - 12. Let h(n) = 13*n**2 - 22*n + 4. Let b(w) = a*h(w) + 6*f(w). Factor b(d).\nAnswer: -(d - 2)*(7*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 125\/75*(-168)\/(-40)*3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 3*i**4\/4 + 10991*i**3\/2 + 39771895*i**2\/4 - 455233901*i - 152849205 = 0. What is i?\nAnswer: -3686, -1\/3, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-18)\/14)\/(18\/(-21)*1). Let n(u) be the second derivative of -1\/6*u**4 - h*u**2 + 0 - 4\/3*u**3 + 20*u. Determine n(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -2*v**2 + 28*v - 75. Let z be j(10). Suppose 0 = -4*p + 19 - 3. Put p, 3, z in descending order.\nAnswer: z, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1655547 millilitres in litres?\nAnswer: 0.0001655547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 405 minutes after 10:08 PM?\nAnswer: 4:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -314 divided by 61\nAnswer: -314\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least as big as -15\/401486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t - 1. Let o(y) = y**3 - 2*y**2 + 5*y - 2. Let p(z) = -o(z) - 5*w(z). Let d be p(3). Which is the biggest value? (a) 1\/13 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 157661 or 157548?\nAnswer: 157548","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -7*c - 2 + 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 21\/(-14) + 969\/34. Let z(c) be the first derivative of -c**3\/3 + 33*c**2\/2 + 3*c - 1. Is z(v) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13 - 1. Let j be (-4)\/(-3)*(-21)\/a. Suppose -j*v = g - 2, 3*g - 6 = -2*v + 4*v. Solve 9 = -3*r - v for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oo when two letters picked without replacement from foofofooooo?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.13 (b) -33\/199 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 13*k**2 - 205*k - 38. Determine g(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -886*g**2 + 294*g**2 + 301*g**2 + 295*g**2.\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be 44 + -37 - (-50)\/(-7). Sort -11, -0.4, y in descending order.\nAnswer: y, -0.4, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -34 - -16. Let h be 10\/(-45) - 40\/p. Is h\/(-4*(-1)\/118) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7 times 6669?\nAnswer: 4668.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = -2692*w. Let h(i) = -16*i. Determine h(j(t)).\nAnswer: 43072*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -9*w**2 + w. Let z be b(1). Let a = 4 - z. Let n = -5122 + 5134. Calculate the greatest common divisor of n and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -4*c**3 + 17428*c**2 - 34844*c + 17420 = 0.\nAnswer: 1, 4355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 22 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**3 - v**2 + 2*v + 4. Let j be s(0). Suppose -7 = -u - j*c, -u - 35 = -6*u + 3*c. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, i: 2, l: 1, z: 6, k: 3}. What is prob of sequence ii?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125 is divided by 67.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/5)\/((-14)\/(1050\/(-15))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c**4\/4 + 59*c**3\/4 - 597*c**2\/4 - 59*c\/4 + 299\/2 = 0. Calculate c.\nAnswer: -1, 1, 13, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*1*3*(-13)\/273.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 387*d**2 + 22815*d - 1078. What is b(-59)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1651178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1 - 1 - (-2 + -3). Find the second derivative of -z + z - 4*z**f + 5*z + z**5 wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**4 + q**3 - q**2 - q - 1. Let y(p) = -8*p**4 + 4*p**3 - 4*p**2 - 4*p - 6. Let j(c) = 3*y(c) - 12*z(c). What is the derivative of j(h) wrt h?\nAnswer: -48*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1 + -1. Let h be 1\/(-5) + (-749)\/3. Let d = h + 250. Is g smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -17 = -5*x - 3*y, -16*x - 3*y = -161 + 100 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f + 3*r = -f + 30, 2*r + 60 = 2*f. Suppose -6*v = -v - f. What are the prime factors of 3\/9*v - -46?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -5*n + 2. Let v be a(-3). Let b(k) = -3*k**3 - 11*k**2 + 3*k - 17. Let l(u) = u**3 + 4*u**2 - u + 6. Let i(r) = v*l(r) + 6*b(r). Calculate i(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5.844, -1\/6, -1.\nAnswer: -5.844, -1, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -251*z - 5*v - 17 = -247*z - 0*v, v = -2*z - 13 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*t + t - t - 3*t**2 - 2 + 2*t**3 + (5*t + t - 2*t)*(13*t**2 + t**2 + 5*t**2).\nAnswer: 78*t**3 - 3*t**2 - 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -127*w**3 - 190*w**3 + 286*w**3 - 83*w**3.\nAnswer: -114*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1369171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-5*f**2 - 2*f**2 + 8*f**2)*(0*f**2 + 0*f**2 - 2*f**2) + (-2*f + 5*f + f)*(6*f**3 - 8 + 8) in the form o*f**4 + b*f**3 + a*f + y + l*f**2 and give o.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -121*n**3 + 328*n**3 + 95*n**2 - 204*n**3 to y*n**3 + h*n**2 + s*n + u and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63 + 63 + 81224*z.\nAnswer: 81224*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.158633 (b) -0.029 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 32 and 447472.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve o + 6 = -q + 2, -4*o - 3*q = 14 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -6*h**2 - 627*h - 315. Let j be i(-104). Put -5, j, 5, -10, 3 in decreasing order.\nAnswer: 5, 3, j, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 17, e: 2}. What is prob of sequence bbbe?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**2 - 1925952*f + 113638130 = 0. What is f?\nAnswer: -963035, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.13 + -0.16. Let n = -21.47 + b. Let t = 22 + n. What is the closest to -1 in t, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 358889 is divided by 7986?\nAnswer: 7505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 1\/11 in decreasing order.\nAnswer: 2, 1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 418 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 104703551 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -27.3 in 0.02, 7, 11\/24, -0.2, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1216 (b) -0.2 (c) 4 (d) 1\/6 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18656 divided by -2332.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:35 AM and 10:46 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = 58829 + -4392. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(162) + 3 - sqrt(200)\/sqrt(4).\nAnswer: 3 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 9*q**2 + 8*q + 2*q - 13*q + 1 as c*q + b + x*q**2 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-852)\/48*((-30)\/(-14) - 2) and 53\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -970 from -15542185.\nAnswer: -15541215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -13*m**2 + 5*m + 5. Let y(l) = -l**2 + l + 1. What is -3*b(p) + 15*y(p)?\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d**3 - 245*d**2 + 1040*d - 1060 = 0.\nAnswer: -53, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (593 + 517 + 132)*(t - 2*t + 0*t).\nAnswer: -1242*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001111010100010101100 + 10110?\nAnswer: -1001111010100010010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2548?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*m**2 + 4*m - 4*m + (0*m + 2*m - m)*(1 + 2*m - 1) + 13*m**2 + 435*m - 2 - 435*m)*(-1 + 1 - m**3).\nAnswer: -17*m**5 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-2\/9)\/p)**(-8\/5)*(p\/(p\/p**5))\/((p*p*p*(((p\/(p**(-2)*p))\/p*p)\/p)\/p)\/p))\/((p\/(p*p**(-1\/2)*p))**40)**(-1\/27) assuming p is positive.\nAnswer: p**(569\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 21 - -50 - 11 - 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1.789 (b) 29 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*v**5 + 3394*v**3 + 217*v**2 + 69602*v - 15 wrt v.\nAnswer: -40*v**3 + 20364*v + 434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2716 and 3.7?\nAnswer: 10049.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 7815011 (base 9) in base 11?\nAnswer: 2410602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 37\/7 + 8\/(-28). Suppose 18 = 2*w - 3*t, q*w + t + 8 = 53. Is (-130)\/(-18) - 2\/w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1, -1\/4, 1\/4, -6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 4*u = 926, -279 = -4*v - u + 466. Solve -230 + v = -11*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) be the first derivative of -m**4\/2 - 92*m**3\/3 - 88*m**2 + 57. Factor w(c).\nAnswer: -2*c*(c + 2)*(c + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) be the third derivative of 0*y - 7\/6*y**3 + 1\/42*y**7 + 0*y**6 + 0*y**5 + 0*y**4 + 6*y**2 + 0. What is the derivative of p(z) wrt z?\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 18627 is divided by 54?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:55 PM and 8:23 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1190 and 306.\nAnswer: 10710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k = 747\/7 - 745\/7. Factor -2\/7*t - 2\/7*t**4 + k*t**3 + 0 + 2\/7*t**2.\nAnswer: -2*t*(t - 1)**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2*d - 3 = 0. Let w = 10 - d. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 20\/3, -13705, 3, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -4*i + 2. Let h be v(2). Let n be ((-4)\/h)\/((-1)\/(-3)). Let j(a) = 2*a**2 + a**3 - 2*a**n - 4*a**2 + 2 - 7*a - a**2. Calculate j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 98334979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 1*(-1)\/13 - (-1470)\/19110\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 PM and 8:19 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 10\/63021 and -137\/42.\nAnswer: 126042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 588442159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 10194730 to the power of 1\/2, to the nearest integer?\nAnswer: 3193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16\/29 in -29\/4, -0.7, 2\/7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w + 23. Let c be d(-20). Suppose -4*z - 238 = -3*y - c*z, 0 = y - 3*z - 74. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -26 (base 14) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -342*z + 4055. Determine g(12).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -27506 = -1900*j + 8594 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 8.7 * -5\nAnswer: -43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x*x**(-2\/17)\/x))\/x)**(-5\/8)*x\/x**(-2\/33)*x**21 assuming x is positive.\nAnswer: x**(49339\/2244)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26968*m**3 + 10747*m**3 + 8649*m**3.\nAnswer: 46364*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 5*(6\/7)\/(-54*55\/(-924))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c**1\/c)**50)**(-5\/7))**(-3\/32))**(4\/37) assuming c is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 2*g = 212, 4*b - 2*g - 168 = -0*g. Suppose 5*t = -4 + b. Calculate the least common multiple of (-3 + 1)\/((-2)\/4) and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(6\/13)*w\/(w*w\/(w**(-12)*w*w)*w))**(-2\/67) assuming w is positive.\nAnswer: w**(300\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the first derivative of u**6\/30 + 3*u**2\/2 - 3*u - 2. Let r(g) be the first derivative of v(g). Differentiate r(n) wrt n.\nAnswer: 4*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-1\/8)\/(p\/(p\/(p*p**(-1\/2)))))\/(p\/(p\/(p\/(p\/(p\/(p**7*p*p)))))*p**(2\/19)))**7 assuming p is positive.\nAnswer: p**(7735\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -2*m**3 - 3*m**2 - m. Let q(r) = 2*r**3 + 4*r**2 + r. Determine -3*h(g) - 4*q(g).\nAnswer: -2*g**3 - 7*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -94, -84, -60, -16, 54, 156, 296?\n\"Answer: a**3 + a**2 - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.193 + -129.193. Let w = -129.000067 - j. What is w rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -14*k + 1. Let b(y) be the second derivative of 41*y**3\/6 - 3*y**2\/2 - 117*y. What is -6*b(a) - 17*t(a)?\nAnswer: -8*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 558609*d**3*f**2 + 4*d**2*f**2 + 183*d*f**2 + 10 wrt d.\nAnswer: 3351654*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-450 - 391*x**4 + 450)*(-2 + 1 - 2).\nAnswer: 1173*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*i - 3*f - 8 + 26, -f - 8 = 3*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22.69 + 27.6. Let o = -0.09 - v. Let k = -5.0004 - o. Round k to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 24 = 3*y. Find the common denominator of 119\/36 and 2 + y + (-965)\/160.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1518.\nAnswer: 2, 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 85 + -208\/3. Find the common denominator of j and -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.2 and 21.0274235?\nAnswer: -4.2054847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jxxy when four letters picked without replacement from xyeyexxjyjxjjxexxxxx.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((165\/(-20))\/(-11))\/((-6)\/(-96))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = 2*i - 17, -2 + 1 = k - i. Suppose -k*c + 98 + 28 = 0. What is the highest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 71, 73, 69, 53, 19, -39, -127, -251?\n\"Answer: -p**3 + 3*p**2 + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.0576 - 0.4424. What is the smallest value in 0, s, 9?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2675 and 1391.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 75885456.\nAnswer: 2, 3, 103, 15349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert -101110000001001101000 (base 2) to base 6.\nAnswer: -52153120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.16 and 101.7?\nAnswer: -16.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19, -23, -29, -37, -47, -59?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -729*t - 1082 - 1050 = -196*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -175479*n**2 + 4*n**3 - 175472*n**2 - 175455*n**2 - 175481*n**2 + 701887*n**2 - 3*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand 127*i**3 - 127*i**3 + 8*i**5 + (-2*i**2 + 0*i**2 + 0*i**2)*(4 + i**3 - 4).\nAnswer: 6*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 39328391119 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kat when three letters picked without replacement from {a: 6, x: 1, k: 3, t: 4}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 4260 = -5*s, 0 = 2*d - 5*d + 15. Let i = s + -847. Solve -4*a = 2*x + 12, a + i + 1 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:54 AM and 3:44 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.3 and 5.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -14917*p + 74608. Determine g(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3637 + -521.9?\nAnswer: 3115.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 643 minutes after 6:49 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -131424435 + 43?\nAnswer: -131424352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 6742461907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.8 and -10.75.\nAnswer: -9.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/10)\/(10\/25*4)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 336582 by 14634.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 285 is divided by -36*(-1)\/6*2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13967 is divided by 1397.\nAnswer: 1394","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 b when two letters picked without replacement from {b: 9, a: 5}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(612) - 1*sqrt(1088))**2 - 2*sqrt(51)\/sqrt(48).\nAnswer: -sqrt(17)\/2 + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 2*k + 74. Is d(11) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -4*b**5 - 4176*b**4 - 1085744*b**3 + 2192408*b**2 + 1085748*b - 2188232 = 0.\nAnswer: -523, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -36435*w + 386014 - 66554 = -314466 - 167644 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 29198 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -961 - -1315. What is the least common multiple of s and 22?\nAnswer: 3894","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1 + 2 + -1 + 4. Suppose 6*v + 14 = b*v. Let y(g) = g**3 + 9*g**2 + 14*g + 9. What are the prime factors of y(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 5733?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u - 3*u = -u + f + f - 50, -25*u - 17*f - 11*f + 266 = 0 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 547290 and 912150.\nAnswer: 2736450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-131)\/(-917)*77\/(-33)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bi when two letters picked without replacement from bki?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 0*m = 2*m - 24, 7 = t + m. Let n(w) = w**3 - 2*w**2 - 3*w + 6. Let y be n(2). Solve -2*o + y*o - t = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the first derivative of d**5\/30 + d**4\/3 + 11*d**3\/18 - 5*d**2\/3 + 1691. Let z(i) = 0. Calculate i.\nAnswer: -5, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = s**3 + 9*s**2 + 8*s + 4. Let v be n(-8). Let y be ((-4)\/3)\/(v\/6) - -2012. Suppose y = 2*k + 3*k - 5*f, -k + 2*f = -407. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 = -2*g + 5*l, 4*g + 96*l + 36 = 100*l for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -136497 divided by -7.\nAnswer: 136497\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -403 - 112?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 206 a factor of 194706\/45 + 104\/(-130)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 3 + 0)*(-3 - 18 + 4) + 1 + 6 + 8)*(-3*s**2 - 2*s**2 + 7*s**2).\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 6947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = 2*s**2 + 12*s - 44. Let v be u(-9). Solve 0 = y + 3*y - 2*f + v, 5*y = 3*f - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + h - h**2 - h)*(-3 + 7 - 3).\nAnswer: -h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*s + 9*s - 4*h - 8 = 0, 3*h + 5 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -691*o**2. Let t(n) = n. What is u(t(w))?\nAnswer: -691*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13\/7 - -157\/77. Let o = 238 - 727. Let k = -492 - o. Which is the fourth biggest value? (a) k (b) -0.1 (c) i (d) 5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -96 + 96 - 29*g**3.\nAnswer: -29*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -4 + 7 + 23 + -11 + -60 + (0 - 0)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + 3 + sqrt(13)*1.\nAnswer: sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(4\/3)*c\/c**(-18)*c*c**(1\/4)*c\/(c*c\/(c*c**(-7))) assuming c is positive.\nAnswer: c**(175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1619 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dtqaqts. Give prob of sequence qt.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1011000 + 1010100110000101010011?\nAnswer: 1010100110000011111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-9 + 12)*10\/(-24). Let z = 0.24 + -11.24. Let x = -15 - z. Which is the closest to 0? (a) x (b) -0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 8 = 3*x + 1, 2*d - 33 = -5*x. Suppose -173 = -x*y + 197. Calculate the remainder when y is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*j*n**3*s**2 + 402*j*n**3 - 599*j*n**2 + 3584*n**3 - 259*n**2*s + 7*n*s**2 wrt n.\nAnswer: -12*j*s**2 + 2412*j + 21504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 2*p - 131 = 7*p, 0 = 3*l + p - 107. Suppose 4*v - 183 = l. Calculate the remainder when v is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/9 + (-28770)\/14040. Let c = 1\/156 - t. Suppose 1 + 1\/2*s**3 + 2*s**2 + c*s = 0. Calculate s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 549479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (10 - (0 + 1)) + 13 + 7 + -4 + -12.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the second derivative of 1\/2*g**2 + 0 + 1\/6*g**3 - 4*g. Calculate a(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7035897ml to litres.\nAnswer: 0.0007035897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = -82.1 + 77. Let y = 5 + c. Let p = 0.1 - y. Sort -0.5, -1, p in decreasing order.\nAnswer: p, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -109541106 by 281.\nAnswer: -389826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*v - 207 + 253 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a - 15 = -a. Let q be -3 + (a - 5)*-1. Suppose 0 = 7*y - q - 23. Solve -25 = y*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*w - 12*w + 195 = 0. Let a = -12 - w. Let g be (-6)\/(-4) + a\/(-6) + 4. Which is greater: g or 1\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/12 + -1 + 3\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9169188 or 82522684\/9?\nAnswer: 82522684\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) be the first derivative of 71*c**3\/3 - 5*c**2\/2 - 3*c + 152. What is the thousands digit of a(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes before 11:02 PM?\nAnswer: 10:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 22608 by -314.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/3740 and 19\/11.\nAnswer: 3740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.1, 17, 573551, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence dqr when three letters picked without replacement from zqddzddzzr.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of i**3*l**3 - 15*i**3*l**2 - 2*i**2*l**2 - 39*i - 496*l**3 wrt l?\nAnswer: 6*i**3 - 2976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, j: 1, e: 2, i: 3}. What is prob of picking 1 j and 1 e?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 242 a factor of 5367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 14*v**2. Let f(x) = 99*x. Determine f(i(w)).\nAnswer: 1386*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and 0.5175.\nAnswer: -2.5875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) - -5*(sqrt(77) + sqrt(77)*-2 + sqrt(77)))\/(4*1*sqrt(7)).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(114)*-2*2 - sqrt(114)) + ((2*sqrt(114) - sqrt(114))*6 - sqrt(114)))\/(2*(6*sqrt(6)*1 + sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/(20\/(-3)))\/((1\/2)\/1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1*-5898742\nAnswer: 5898742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 0*w = -4*w - 44, -o + w = 19. Let k be (-2 - -8)*o\/(-10). Factor -3*g**2 + k*g**3 - 2*g + 0*g**2 - 3*g - g.\nAnswer: 3*g*(g - 1)*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 4*a**3 + 521*a**2 + 139*a + 1170. Determine u(-130).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 + 2*f**2 - 6*f - 6. Let l be h(-3). Suppose 12 - 2 = l*s - 5*q, 4 = -2*q. Solve -4*o + 18 = -2*n, -3*o + 2*o + n + 4 = s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.117 (b) 0 (c) -3\/2 (d) 0.325 (e) 0.18 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 125, 231, 327, 413, 489?\n\"Answer: -5*o**2 + 121*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -1, 108 in decreasing order.\nAnswer: 108, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 173 minutes before 5:47 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q**2 + q. Let x be p(-2). Factor -2*k**2 + 3*k**2 + 2*k**2 - x*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6*3\/36*8 + 313. Let r = z + -334. Which is greater: r or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2625 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 777026917?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3751200016)\/120 - 68\/(-510). Round d to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 6*x**3 - 2098*x**2 + 3484*x - 1414. Determine l(348).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 - 6. Let r = k + -4. Let q(p) = -p. Let u(b) = -14*b + 17*b - 2 - 9*b. Determine r*u(j) + 4*q(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 6764453 and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -183 + 332. Let o = -144 + l. Let i(v) = v**3 - 5*v**2 - 2*v + 5. Determine i(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**2 + 7*h. Let p be (-1 - 0)\/(3\/(-18)). Let q be l(p). Suppose 0*b = -4*b + 192. Calculate the greatest common factor of q and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 f, and 2 r when four letters picked without replacement from ffdrrfrrfutdrfffffr.\nAnswer: 45\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -41\/10 and 77\/4610.\nAnswer: 4610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -29 - -36. Let b be (j - 6) + (0 - -2). Suppose b*r - 2*f - 202 = 0, 161 = 3*r + f - 26. What is r rounded to the nearest ten?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 + -6)\/(-5 - (2 + 75\/(-12))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*y = y - 391. Suppose 5*k = -2*p + 83, -3*p = k - y + 9. Let i = -8 - -4. What is the biggest value in k, -5, i?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes after 5:54 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 24794083 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1858946 divided by -29983?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 205 + 1432 - 3404*q - 759 + 1011 wrt q?\nAnswer: -3404","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 10) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 1009d2 (base 15) to base 4\nAnswer: 2321323331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 21726 - 2737493\/126. Calculate the common denominator of -47\/90 and v.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 3*p**3 + 15*p**2 + 12*p - 19. Let m(r) = -16*r**3 - 76*r**2 - 61*r + 96. Let s(u) = 11*h(u) + 2*m(u). What is the units digit of s(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 - -4. Let x be (16\/(-24))\/((-2)\/p). Let l = 0.02436 + -4.02436. Put x, -3, 4, l in ascending order.\nAnswer: l, -3, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 9\/22 and -53\/144.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2130314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 50 = 5*j - b + 76, 4*b - 9 = j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (0 - -1) + 3\/(-3). Find the first derivative of -3 - f**4 + z*f**4 - f**4 wrt f.\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 471841 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -82371174 divided by 5.\nAnswer: -82371174\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -264*t + 2812 = -260*t. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 3 b when four letters picked without replacement from bsbbbbbbsbspbssbb?\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 45.86693ml in litres?\nAnswer: 0.04586693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and 9?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - -384) + 0\/(-4). Suppose -a = k + 426. What is a rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b**2 + 0*b**2 - 1 + 4*b + 0. Let a(l) = 2*l**3 + 33*l**2 - 18*l - 13. Let f be a(-17). Let s(d) = 3*d**2 + 5*d - 1. What is f*z(o) - 3*s(o)?\nAnswer: -o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 17*g**3 - 4*g**2 + 11*g - 1. Let m be j(-5). Let b = -1323501\/4 + 333144. Let y = b + m. Find the common denominator of y and 61\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/7? (a) -2\/7 (b) -39 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 - -4. Let x = q - -10. Let s(p) = p**2 - p - 1. What is the remainder when 43 is divided by s(x)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25853147 is divided by 3073.\nAnswer: 3071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m = -14*j + 92, -3*m + 5207 = 3*j + 5183 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 174683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z**2 - 6*z + 8. Suppose 0 = -2*s - 2*o - 22, -3*o = 4*s + 26 + 13. Let h be w(s). List the prime factors of (-2177)\/(-28) + (-6)\/h.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*c + 5*t - 17, -3*c - 2*t + 5 = -6. Solve s + 4 = -3*a - 3, -3*s = -c*a - 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 361.8 - 362. Put -2.4, 4, a in ascending order.\nAnswer: -2.4, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -108*y - 3783. Give l(-35).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 69237 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-6*(-3 + ((sqrt(2299) - 1*sqrt(2299))*-6 - (0 + sqrt(2299))*6)))**2.\nAnswer: 14256*sqrt(19) + 2979829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.86 - -2.26. Which is the smallest value? (a) 0.5 (b) 1 (c) o (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, a: 5, t: 4}. Give prob of picking 1 t, 1 m, and 2 a.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53975*p**2 - 25616*p**2 - 217949*p**2.\nAnswer: -189590*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - ((-9 - -1) + (-81 - (-5 - 11)) + -4).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 345822925?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 3*g. Suppose -3*r - 6 = 0, g*r + 4*r = w - 17. Suppose 3 - w = -3*z. Is 2 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -2*f**3 - 35*f**2 + 14*f + 1551. Calculate b(-11).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00055678639 rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 3, 0.3, -0.4.\nAnswer: -8, -0.4, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21 + -11. Let m = 53 + -17. Let x = m - 26. What is the smallest common multiple of g and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 0 - 5)*(90*n + 43*n - 45*n) + 0*n - 3*n + 2*n.\nAnswer: -177*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.3171 - 3.3171. Let c be (6\/(-45))\/((-8)\/(-5)). What is the second biggest value in p, c, 1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*q + 4*l - 8 = -16*q, 4*l = 3*q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.033491411 - 34129.\nAnswer: -34129.033491411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine w so that -15*w**4\/4 - 76*w**3 - 394*w**2 - 80*w + 100 = 0.\nAnswer: -10, -2\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 58687904.\nAnswer: 2, 11, 23, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2417 smaller than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find j such that -j**4\/2 + 6385*j**3 - 20390496*j**2 + 40755456*j = 0.\nAnswer: 0, 2, 6384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/(-3)*-1 + 7. Suppose -2*h = -v*o + 3*h - 105, -5*h + 15 = 0. Let n = o + 25. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -387622814 - 3?\nAnswer: -387622817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -920 = -2*m + 4*y, -3*m = -5*y - 839 - 539. Suppose 0 = -3*a - 4*i + 342, 4*a + i = -0*a + m. List the prime factors of a.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 399 = -2*x - 398, 2*i - 3*x - 1 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 21043 and 767745.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of 47*c**2\/2 - 72*c - 102. Differentiate g(q) wrt q.\nAnswer: 47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 2\/(1 - 225\/231). Suppose -5*f - 2 = -q. Suppose -m + f = 4. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = -2*j - 8*n + 32, 0 = 4*j - 2*n - 88. Suppose -16 = -4*a - 5*h, -3 - 1 = h. Let l = j - a. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -29 in 2\/7, -0.5, 53, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -4*d**2 + 27. Let f(x) = 2*x**2 - 13. What is -5*f(q) - 2*y(q)?\nAnswer: -2*q**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 780 is divided by 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*r + 1282 + 2628. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -2116*c**2 - 20098320*c - 47724771600 = 0.\nAnswer: -109230\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + 9 + -17 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 87 + -45. Suppose 4*h - 42 = 130. Let j = -15 + h. What is the greatest common divisor of j and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 w and 1 b when three letters picked without replacement from {l: 2, t: 5, w: 5, b: 7}.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/(b*b**4\/b))\/(b*b**6*b*b*b)*b\/b**(2\/15)*b\/b**(-2\/7) assuming b is positive.\nAnswer: b**(-1139\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**16*j*j**(-5\/7)\/j*j)\/(j\/(j*j**(-12))*j*j)**3)**3 assuming j is positive.\nAnswer: j**(-540\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the second derivative of -o**6\/900 + o**5\/75 - o**4\/20 + 7*o**3\/6 - 4*o. Let h(w) be the second derivative of i(w). Factor h(p).\nAnswer: -2*(p - 3)*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -426b94 (base 13) to base 14.\nAnswer: -2c782c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 230084.\nAnswer: 2, 97, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*q + 1 - 1.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -918905 by 918905.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1258 and 41412731.\nAnswer: 629","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -973, -4071, -9243, -16495, -25833, -37263, -50791, -66423?\n\"Answer: -t**3 - 1031*t**2 + 2*t + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-42)\/(-8) + 375\/(-300). Solve -5*g + 4*x = 7, 7*x = -f*g + 3*x - 20 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Are 737 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 72580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:05 AM and 6:41 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 242\/3 + -81. Which is the nearest to 0.1? (a) 3 (b) -12 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1.436939, -0.3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 85, 35, -49, -161, -295, -445, -605?\n\"Answer: o**3 - 23*o**2 + 12*o + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 5*c + q - 53, 2*c = -5*q + 32. Suppose -m - c = -3*n + 8, 3*m + 37 = 5*n. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 189 divide (2058152\/688)\/((-1)\/10*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 2*y + 4. Suppose -4*a = 3*b + 4 + 9, 10 = -3*a - 2*b. Let o be t(a). Sort 3, o, -1 in descending order.\nAnswer: 3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 27881, 55626, 83373, 111122?\n\"Answer: i**2 + 27742*i + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 660 - 80*l**3 + 86*l**3 - 660.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.7 - 1.2. Let m = 2.2 - -0.8. Let o = -117 + 121. What is the biggest value in m, t, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -12*w - 341. Determine r(-28).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -c + d, 11*c = 7*c + d + 10. Let v(h) = 715*h**c - 356*h**2 - 357*h**2. Let y(z) = 28*z**2 + z. Calculate y(v(x)).\nAnswer: 112*x**4 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 3 + -35. Let j = x - -35. Is 266\/j + 4\/3 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = 4*v + 22. Let t be c(-4). Let w(p) = -p - 2. Let h(q) = -10*q - 3. Let n(r) = -3*r - 1. Let s(m) = -2*h(m) + 7*n(m). Determine t*s(a) - 4*w(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**3 - 4*n**2 + 4*n - 5. Let h be k(3). Which is the third smallest value? (a) -2\/11 (b) h (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 119528217 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: Simplify ((sqrt(21) + sqrt(63)\/sqrt(3))*2 + (sqrt(1701)*-3 - sqrt(1701)) + sqrt(1701))\/(sqrt(192) + 1*sqrt(192) - (sqrt(147)\/sqrt(7))\/sqrt(7)).\nAnswer: -23*sqrt(7)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 3*u + 2*t + 243 = 0, -t + 1017 = 4*u. Suppose -u*p - 92514 = -259*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve y - 141 = 4*m - 2*m, -23*y + 27*y = 3*m + 572 - 18 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*f**3 - 22*f**3 - 31712464496 + 31712464496.\nAnswer: -49*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -222 by -37.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17737, -17732, -17725, -17716, -17705, -17692, -17677?\nAnswer: -17660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - m + 29 = 0, -5*k + 3*m + 156 = 3. Let y = 39 - k. Calculate the highest common factor of y and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h - 5 = 15. What is the least common multiple of 24 and (-40)\/14*(h - 2)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 160 and 2440?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 692 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be 84\/5 + 5\/25. Suppose -1 = -4*y - v. Let a = 7 + y. Calculate the greatest common divisor of 2 and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-32)*-4*5\/(90\/(-312)).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 62978512 a multiple of 750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 32 = 2*h - 2*a, -5*h - 5*a + 55 = 0. Let d(b) = -25*b. Let f be d(2). What is the remainder when f\/(-3) - (-4)\/(-6) is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 4, -3\/2, 18, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -y**3 - 10*y**2 - 8*y + 10. Let a be 2*2\/(-28) - 2790\/315. Give l(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = 15*q**3 + q**2 - q. Let c = 4 - 3. Let u be o(c). Let z be -1*(1 + 0) + 136. Calculate the highest common factor of z and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/(-18)*4176\/(-5220)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2133824.\nAnswer: 2, 7, 11, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2245782 divided by 748594.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 310\/(-8) + 39312\/1008.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 69 by -2.\nAnswer: -69\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -60*l + 6*l**2 + 58*l - l**2 - 4*l**2. Let v(q) = 117*q**4 - 37*q**2 + 6*q. Let n(y) = 3*o(y) + v(y). What is the third derivative of n(p) wrt p?\nAnswer: 2808*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -12*d**2 - 63*d + 4. Determine s(-2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 5*i**3 - 3*i**2 + 4. Let m be l(1). Calculate the greatest common factor of 258 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*m = 26*m - 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 5975477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (8\/(-16))\/((-11)\/(-110))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*y - 68*y - 5280 = 87*y for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, i: 1, u: 2, g: 1, a: 1, p: 1}. What is prob of picking 1 i, 1 z, and 1 u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) be the second derivative of j**7\/630 - j**5\/30 + 2*j**4\/3 - j**2 + 123*j. Let n(d) be the third derivative of a(d). Solve n(w) = 0 for w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j**3\/9 + 158*j**2\/9 - 10640*j\/9 - 843296\/9 = 0. Calculate j.\nAnswer: -76, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -5665, -11376, -17173, -23104, -29217, -35560?\n\"Answer: -8*d**3 + 5*d**2 - 5670*d + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 2, d: 5, t: 3}. What is prob of picking 1 t and 3 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -35797032 divided by 57924.\nAnswer: -618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -149 - -194. Let u be (2 + -3)*0*(-5)\/i. Solve -4*m + 5*m = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/7, -0.5, -5316, 14 in increasing order.\nAnswer: -5316, -4\/7, -0.5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put -675, 3, 252, -3, -2, 5 in descending order.\nAnswer: 252, 5, 3, -2, -3, -675","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes after 1:05 PM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-2)*-5*(-2 + 7). Put n, -1, 5, 2 in ascending order.\nAnswer: n, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((5*s - 3*s - s)*(0*s + 2*s - 4*s) - 197*s**2 + 404*s**2 - 203*s**2)*(0*s + 0*s - s) as r*s**2 + z*s + g*s**3 + a and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 107597?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1294 - 2010. What is the tens digit of (u\/(-18) - -1) + 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -28311 - -311.\nAnswer: -28000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -348*x + 556*x - 6656 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 141138, 282268, 423388, 564504, 705622, 846748?\nAnswer: 987888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -8, -4, 43309, 5 in decreasing order.\nAnswer: 43309, 5, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 5\/3*n - 1\/3*n**2 + 2.\nAnswer: -(n - 6)*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2103241430 + 2?\nAnswer: -2103241424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -184 divided by 46.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3\/2, -0.2, 481, -2?\nAnswer: 481","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**4 - 2 + 1 + d**4 + (406*d - 438*d - 1 + 7)*(62 - 62 - 18*d**3).\nAnswer: 574*d**4 - 108*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = 177 + -123. Is 18 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (10\/25)\/((-26)\/20). Let r = m + 21\/26. Factor 3\/2*c**2 + 7\/4*c + r.\nAnswer: (2*c + 1)*(3*c + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 163694 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 214671*j**5 + 17*j**4 + j**2 - 74*j + 9487?\nAnswer: 12880260*j**2 + 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -26*k**2 + 22*k + 5. Let g(w) = 2*w**2 - w - 1. Determine 5*g(f) + t(f).\nAnswer: -16*f**2 + 17*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1 - -7a6?\nAnswer: 7a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 3*o, 18*o + 90 = 5*c + 13*o. Suppose i = 4*i - 72. What is the remainder when i is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*o = 16*o - 840. Calculate the highest common divisor of 48 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 40 minutes after 2:30 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 45 + -21. Let b = 1216 + -1024. What is the highest common factor of b and r?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 1\/5 of a centimeter?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 8\/3, 3, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.26 - -1.26. Let z = 1749 - 169650\/97. Let o = z + 125\/2231. Is t < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 63309, 63238, 63117, 62946, 62725, 62454?\nAnswer: 62133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + -3*((3*(sqrt(1700) + 1))**2 + -4 + 1*sqrt(1700) - -1*((sqrt(1700) + sqrt(1700) + 0 - sqrt(1700))*1 - (sqrt(1700)*1 + 1))**2).\nAnswer: -45916 - 570*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y\/(y\/(((y\/y**(-1\/6))\/y*y)\/y)))**(-2\/133) assuming y is positive.\nAnswer: y**(-1\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6 - 1. Let y = -43.6 + 39. Let w = p + y. Sort w, -1, 3.\nAnswer: -1, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.32, 0.4, -0.5, -1, -4, -3 in descending order.\nAnswer: 0.4, 0.32, -0.5, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 - 1. Let n(d) = 3*d - 14. Let g(i) = 6*i - 23. Let b(k) = 3*g(k) - 5*n(k). Let w = 4 + -5. What is w*f(o) + b(o)?\nAnswer: -o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -1012201 (base 3) to base 5\nAnswer: -12013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 334 is divided by -54*(-4 + ((-84)\/9)\/(-4))?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 148365879*-0.3\nAnswer: -44509763.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 11146913*s*t + 2*s - 1048541*t - 2 wrt s.\nAnswer: 11146913*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 5*z - 5*z - 211 - z + 211. Let j(u) = 3*u + 9. Calculate y(j(w)).\nAnswer: -3*w - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.95 - 0.05. Suppose -2*l - 7 = 19. What is the biggest value in m, 0, 5\/3, l?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6787941km to micrometers.\nAnswer: 678794100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3335?\nAnswer: 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -22*p - 132. Let m be t(-6). Solve -35*s + 11 - 46 = m for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, o: 8, d: 4, s: 2}. What is prob of sequence uso?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 13198173977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-8)\/1*(-15)\/(-19 + 49). Let i(x) = x**3 + 5*x**2 - x - 4. Let b be i(-5). Let s = -4 - -4. Put q, s, b in descending order.\nAnswer: q, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16.35 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:10 AM and 6:48 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 99 a factor of 4433616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ckllkcrlcdn. Give prob of sequence llk.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.697434 decades to months.\nAnswer: 83.69208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1001110111101 + 0?\nAnswer: 1001110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 42387*o - 381432. Calculate l(9).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand -r**4 + 3*r**4 - 4*r**4 + (r**2 - r**2 + r**2)*(0*r - 2*r + 0*r)*(-4*r - 9*r + r).\nAnswer: 22*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 614 or 1225\/2?\nAnswer: 1225\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 322019?\nAnswer: 61, 5279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 41 (base 9) in base 4?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**2. Let o = -3 - -8. Let p = 1 + o. Let t(i) = 0*i - 4*i + p*i. Determine r(t(v)).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y + 3*o - 25, -5*o = -4*y - 9 - 24. Let z = y - -4. Which is the closest to 1? (a) -5\/4 (b) 0.1 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 4 + 1)*(-a + 3 + 2*a - 2).\nAnswer: -6*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply -8 and 3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-9)\/(-63))\/(0 - 5\/(-35)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3510873786.\nAnswer: 2, 3, 7, 1427, 58579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express l**2 + 2*l - 2*l**4 + l**2 - 2*l + l + 3*l**3 in the form z*l**3 + d*l + k*l**2 + q + a*l**4 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**2. Let v(r) = 131*r**2 - 264*r**2 - 224*r**2 - 10*r**2. Calculate v(d(m)).\nAnswer: -367*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2\/9, -0.2, 0.11 in descending order.\nAnswer: 5, 0.11, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 47 + 8*j**2 - 47 + (0 + 0 + 3*j)*(-4 + 32 - 5)*(-2*j - 2*j + 3*j)*(3 - 3 - 1).\nAnswer: 77*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeee. Give prob of picking 2 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 2567729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 355620.4 hours to nanoseconds.\nAnswer: 1280233440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 1824 = -5*l - 1804, -2*l + 8 = -3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 y, and 1 x when three letters picked without replacement from {o: 4, x: 9, y: 4}?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**3 + 29*i**2 + 2242*i - 134. Calculate c(64).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the second derivative of -a**5\/20 - 5*a**4\/12 - 5*a**3\/6 - 2*a**2 - a. Let l = -14 + 10. Give d(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18512 divided by -9256.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0119852 to 5 dps.\nAnswer: -0.01199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -v. Suppose 7*w - 13 = -6. Let h(n) = -9*n - 1. Let t(d) = w*h(d) - p(d). Give t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 51129232?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, l: 2, j: 4}. Give prob of sequence li.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h = w + 9, w + 24 = 5*h - 3*w. Solve 3*j + h + 1 = -5*c, 2*j - 2*c = 2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = -2*n + 16, -14 + 8 = -y + 5*n for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -4590 divided by -918\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = -6*t + t - 105020, 105012 = -5*i - 3*t. What is i rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -617*f + 7407. Let k be n(12). What is the second smallest value in k, -0.5, -3.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -65*h + 25. Let b = 19 - 16. Suppose 53 = -2*p + b. Let k(y) = -8*y + 3. Let z(f) = p*k(f) + 3*m(f). Let a(v) = -3*v**2. Determine z(a(n)).\nAnswer: -15*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 33*u - 709*u**2 + 22*u + 0*u**4 + 0*u**4 + 710*u**2 + 69*u**5 wrt u?\nAnswer: 1380*u**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -174386 or -12032644\/69?\nAnswer: -12032644\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z*z**(-2\/13)*z*z*z)\/(z**(-2)*z))\/((z\/(z*((((z**10\/z*z)\/z)\/z)\/z)\/z)*z)\/(z*z**(-8))) assuming z is positive.\nAnswer: z**(50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxgxxxxxxxxxxxxxx. Give prob of picking 3 x.\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 0.7593965 nanometers?\nAnswer: 0.00000007593965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*v**3 - 71287374*v**2 + 21*v**3 + 71287374*v**2.\nAnswer: 32*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3 - 1)\/(6\/9). Sort 2, 5, x in increasing order.\nAnswer: 2, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) be the second derivative of 41*r**3\/6 - r**2 + 859*r + 3. Let l(z) = -6*z. Determine l(g(j)).\nAnswer: -246*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-6)\/21 + (-144)\/(-14). Let v = d - 4. Suppose -22 = -4*f + v. Calculate the remainder when f is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*u**3 - 1315*u**2 + 5180*u.\nAnswer: 5*u*(u - 259)*(u - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -13000000 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 9 = -3*j + 24 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000070943165 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 20 - -4. Suppose -o + u = -5*o. What is the common denominator of -52\/7 and (-12)\/o + 51\/(-11)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 40 = -7*p + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 - 6 = l. Let g = 9 - l. Is 13 a factor of g*(-44)\/(-6) + -3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 2*k - 1 = g, 3*k = -6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(51)\/(sqrt(3) - sqrt(108)\/sqrt(4)) - (sqrt(425) + 1*sqrt(425) + (sqrt(17) - (sqrt(17) + 0 + -5)))) + (sqrt(153)*-1*6)\/(sqrt(108)\/sqrt(3)).\nAnswer: -27*sqrt(17)\/2 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.1 + 2. Let a = 9.7 + -10. What is the closest to d in 1\/8, -0.1, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 131021 (base 4) to base 7.\nAnswer: 5303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9\/23 + -17\/161. What is the nearest to i in 8, -2\/7, -0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -203101 = 4*w - 87*w. What is the thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 1 + 4 - 4 + 1 + 2 + (4 - 2 - 1)*(-1 + 1 - 2) + 4 - 3 + 1 + 15 + 17 + 15)*(-3*g + 2*g + 3*g).\nAnswer: 96*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.15 times -35992689?\nAnswer: 5398903.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1269965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 94, 116, 148, 190, 242?\nAnswer: 304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 + 19 = 5*a. Suppose -2*n = j - 10, 0 = -3*j - 3*n - 0*n + 21. Let z be (5\/1 - 2)\/1. Solve 0 = -a*f + j*f - z for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = m + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 260479433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = 121 - 568. Find the second derivative of 50*c**2 - 10*c + 1 + 52*c**2 - 6*c**3 - t*c**2 + 48*c**2 - 4*c wrt c.\nAnswer: -36*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 360 divide 830160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 6.79 * -0.8.\nAnswer: -5.432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 874882.731 rounded to the nearest one hundred?\nAnswer: 874900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 + 0)*(4*y**5 - 4*y**5 + 4*y**5).\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 14 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) be the first derivative of -j**3\/3 - 2*j**2 + j - 3. Let s = -7 + 4. Determine l(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -3 + -5 + 385\/49. Sort -2, -16, h in decreasing order.\nAnswer: h, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m + 5*f = 106 - 23, -2*f - 11 = m. Let n be (-966)\/(-30) - 2\/10. Let p = n + m. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 920 and 1472.\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 244*v. Let f(t) = -12 + 55 - 3*t**2 - 43. Determine n(f(l)).\nAnswer: -732*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -7372645 at least -7372647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -9252*x = 4622*x - 1331904 for x.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 234 = -f, 4*f = -0*t + 4*t + 912. What is the least common multiple of 6 and (-1140)\/(-22) + f\/55 + -4?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 3*v = -8, 0 = -3*s + s + v - 14. Let y = 12 + s. What is the greatest common divisor of y and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1040 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1818 + 3721. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 23996 + -23973. Let c(n) = -22*n**3 + 2*n**2 - n - 2. Let v = -6 + 4. Let a be c(v). Calculate the greatest common factor of d and a.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.023204598 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 3*s - f, 4*s - 20 - 2 = 3*f. What is the second biggest value in s, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the first derivative of -k**2 + 3. Let c(p) = -6*p**2. What is c(u(q))?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 39\/4586 and 81\/3476188.\nAnswer: 3476188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -0.024, 92, 3?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 263379644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 68771833 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 3683136 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/149, 3, -2, 3\/10, 6\/11?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be 10\/26*((-72)\/(-30) - 2). Which is the nearest to 0.2? (a) 0.5 (b) x (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1369*d + 1973*d + 9489*d + 890527 = -2106*d for d.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -2.744932 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3124 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 978.1607 micrometers in millimeters?\nAnswer: 0.9781607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9 and 20844.\nAnswer: 20844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -3*k**2 - 16*k - 4. Let w be d(-6). Let l(b) = -22*b. Let r(t) = -7*t. Determine w*r(a) + 5*l(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/126064 and 61\/1575800.\nAnswer: 3151600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the second derivative of -1\/2*t**2 + 0 + 1\/6*t**3 + t + 1\/6*t**4. Let a(z) be the first derivative of i(z). Let y(k) = -k - 1. Give a(v) + 2*y(v).\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -25*c**2. Let j(l) be the first derivative of l**2\/2 - 27. Give k(j(t)).\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q. Suppose -18*u = -20*u - 8. Let j(a) = a**2 - 39*a + 4. Let f(b) = b**2 - 37*b + 3. Let c(p) = u*f(p) + 3*j(p). Determine c(o(y)).\nAnswer: -y**2 - 31*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 97.73281 micrograms?\nAnswer: 0.00000000009773281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7196 is divided by 64.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (407*n + 1205*n + 2543*n + 910*n)*(4 - 3 - 3).\nAnswer: -10130*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-48)*-4*5\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6526 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -h - 1. Let o be s(-1). Let l be 0 + (-2 - o) + 3. Let z = -9\/2 + 43\/10. Is z bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -4*b**3 - 3*b**2 - 5 + 5 + 3 - 1. Let a be h(-2). Calculate the highest common divisor of a and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c - 2*c + 4*c)*(-5 - 1 + 1)*(2*c - 2 + 2).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 30 - 26.2. Let s = -4.2 + y. Let i = 1.1 - 1.6. Put s, -1, -2\/9, i in descending order.\nAnswer: -2\/9, s, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 2*u**2 + 8*u - 21. Let l be 4 - ((-52)\/(-4) + 1). Let k be w(l). Is (k\/(-6) + 0)*14\/(-3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -10196 greater than or equal to -10204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/28307 in 0.1, 0.5, 0.2, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24892 = 10*a + 39*a. Let m = 526 - a. Let r(o) = 3*o + 3. Calculate the smallest common multiple of m and r(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -101 (base 6) to base 10.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 6*t + 4. Let l be p(-3). Let i = -8 - l. What are the prime factors of i\/24 + (-31)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 3*x. Let w(u) = -u. Let a(s) = -5*w(s) - 2*y(s). Let o(v) be the first derivative of 5*v**2\/2 - 20. Calculate o(a(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 249254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -82, -0.3, 9?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(78) - ((sqrt(78) - (sqrt(78) + 2*(sqrt(78) + (-2*sqrt(78) - sqrt(78))) + sqrt(78))) + sqrt(78) + sqrt(78)))\/(sqrt(36)\/(sqrt(6)*-1 - sqrt(6))).\nAnswer: 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.2, 16.2, 0.4, -4, -0.07?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(-1))**(2\/47))**(-3)*(j**(8\/5)*((j\/(j*j**(-13\/2)\/j))\/j)\/j)**(-1\/4) assuming j is positive.\nAnswer: j**(-3097\/1880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 + 4. Let x(k) = k**3 + 4*k**2 + k - 2. Let a be x(c). Suppose 0 = 5*b - 20, 5*i - 2*b - 11 = -4. Solve 0*n = -4*n - i*m + 12, -2*n + a*m = -6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 14\/(-2961)*(-138)\/8. Let l = m + 4\/47. Which is the closest to -1\/3? (a) 6\/7 (b) 1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2363?\nAnswer: 17, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 172.1 * 2.\nAnswer: 344.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24\/25 + 4\/25. Let s = -18 + 21. Which is the biggest value? (a) s (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6679330 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand -a**2 + 0*a**2 + 0*a**2 + (9*a + a + 5*a)*(-2*a - 2*a + 7*a).\nAnswer: 44*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-65) - (-274)\/(-1370).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1 - 1. Let w = -2.48 - -2.28. Let q be 79\/(-20) + 4 - (-9)\/12. What is the nearest to k in w, q, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 718082.5 rounded to the nearest 1000?\nAnswer: 718000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 53406, 106850, 160290, 213726, 267158, 320586, 374010?\n\"Answer: -2*u**2 + 53450*u - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -10000011010000100101 (base 2) to base 7.\nAnswer: -4366312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - 8) + ((-3)\/(-3) - 3). Let s be (q\/2)\/(4\/(-1688)). Suppose 23*v + s = 26*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + 1 + 5*(-2*(sqrt(192) + sqrt(192)*2) + -3 + sqrt(192) + -4))*6)**2.\nAnswer: 417600*sqrt(3) + 4350276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -10 (base 7) in base 14?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 4*n**2 - 5*n. Let v(o) = -25*o**2 + 26*o. Let h(z) = -z**2 - z + 5. Let b be h(0). Let u(l) = l**2. Let d(t) = b*u(t) + v(t). Give 3*d(w) + 16*g(w).\nAnswer: 4*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 39.973 - -0.027. Let d = 1.1560829 - 41.1561609. Let w = z + d. Round w to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (q - q - 2*q + 2*q + 2*q - 6*q + (-q - 1 + 1)*(-2 + 4 - 1))*(-5*q**3 + q**3 + 0*q**3) + (-5*q**3 - 2*q**3 + 4*q**3)*(-3*q + 4*q + 3*q).\nAnswer: 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put together -11.1 and 1.02.\nAnswer: -10.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes after 8:24 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 303054*j - 1300630 wrt j?\nAnswer: 303054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 698018548?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -7) + 3 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 2210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4751\/2 + 2424. What is the common denominator of -127\/324 and q?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 0*a - 40 = 5*b, 3*a + 3 = 0. Let j = b + 19. Calculate the greatest common divisor of 132 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3649 = 19*o - 60*o. What is the remainder when 367 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ux when two letters picked without replacement from ukxuuuxuuxxixpx?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3617529*r**4*y**3 + 2*r**2*y**2 - 3846*r**2 + 24*r*y**3 - 2*y wrt r?\nAnswer: 86820696*r*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -4 + 18 - 3 - 8 - 79*p + 77*p. Let i(x) = -4*x + 7. Give 9*h(c) - 4*i(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 51 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -5 - (5 - 3)*-6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 3, -0.4, -7\/24?\nAnswer: -7\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/8 + (-99)\/(-36). Solve -11 = g*l - 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 52 = -2*v + 4*v, -5*i - 78 = -3*v. Let a(u) = 5*u - 2. Let d be a(5). Let h = v + d. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 750601.5 months?\nAnswer: 62.550125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/8 - (6\/(-12) - -1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**6)**(12\/11)*k\/k**4*k**(-1))**(-2\/125) assuming k is positive.\nAnswer: k**(-16\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (2 - 1) - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 - 55?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1153, 1157, 1161, 1165, 1169?\nAnswer: 1173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17388 and 525462?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -167, -4, 1, 7, -2 in decreasing order.\nAnswer: 7, 1, -2, -4, -167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -105 and -322936.\nAnswer: 33908280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*n + 4*o + 76, 4*n + 3*o + 67 = 112 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate h**2*m*o + 5*h**2*m + h*m + 2*h - 16*m*o + 68*o with respect to h.\nAnswer: 2*h*m*o + 10*h*m + m + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9076 + -9050.979. Let y = 0.021 - i. Let t = y - -22. What is the second biggest value in 0.1, 0.8, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 2 - 3)*(-52*p + 7 + 24*p + 26*p) in the form g*p + q and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/10 + (-231)\/(-35). Let f(m) = 29*m + 8. Let o be f(p). Let q be o\/19 + (-32)\/304. Solve -7*x = -4*x - h - q, 0 = 2*x - 4*h - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 4*v + 5. Let c(z) = -2*z - 3. Let u(p) = -3*a(p) - 5*c(p). Suppose 8 = 5*o - 2. Let f(h) = -3 + 11*h**o + 3 + 9*h**2. Determine f(u(r)).\nAnswer: 80*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -142 - 3*b**5 + 142 + (-525*b**3 + 525*b**3 + 33*b**4)*(2*b + 0*b + 3*b + (5*b - 2*b - b)*(-1 - 1 + 0) + 2*b - 2*b - b + 2*b - 4*b + 0*b).\nAnswer: -69*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) be the third derivative of i**7\/105 - 229*i**6\/60 + 91*i**5\/6 - 227*i**4\/12 - 6464*i**2. What is u in n(u) = 0?\nAnswer: 0, 1, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/3, 0, 5, -0.2, -191 in ascending order.\nAnswer: -191, -4\/3, -0.2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-50)\/(-8) + (-10)\/40. Suppose -5*y + 3*r + i = 0, -y + 2*r = y. Solve 10 = -s - y*o + 8*o, -3*s + 24 = 3*o for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*k + 27419 = 2072 - 4675. What is the remainder when k is divided by 59?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 15 = 9. Suppose -5*g - p = -k + 7, 2*k = 5*g + 16. List the prime factors of 6\/((-10)\/6 - g).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 36603067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -1059*f - 5244. Give g(-5).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 78375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 520*m + 1. Is a(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 4214941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 7 - 4. Let y(k) = k**2 + 7*k. Let s be y(-7). Put s, -4, o in increasing order.\nAnswer: -4, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (-6 - 1080\/(-75)) + (-4)\/10\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-90)\/(-5))\/(-3*(-15)\/(-45))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*g**2*z**2 + 37*g**2*z + 110*g*z**3 - 6*z**3 - z - 1016 with respect to g.\nAnswer: -6*g*z**2 + 74*g*z + 110*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -127\/1394166 and 77\/6?\nAnswer: 1394166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38968.\nAnswer: 2, 4871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3092285 centuries to months.\nAnswer: 371.0742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 5*f**2 + 15*f + 3. Let d(q) = -2*q**2 - 7*q - 1. Let v(u) = 7*d(u) + 3*g(u). Let a be v(3). Let k be 20\/(-14) + (-21)\/(-49). Is k smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -517 + 1867 + 2370 = 248*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 44301 + -3432?\nAnswer: 40536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 2612092 by 2.\nAnswer: 1306046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2038 + -2038. Put -73, -1, -4, q in increasing order.\nAnswer: -73, -4, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + -64800071?\nAnswer: -64800065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, 0.3, 5, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1897479.\nAnswer: 3, 31, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 72 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.649144 to 2 decimal places.\nAnswer: 0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 2 + 5*q - 11*q + 1 + 7*q. Let f(l) = -2. Let k(a) = -3*f(a) - 2*h(a). Is 5 a factor of k(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand p + p - 3*p - 8*p + 6*p + 20*p + (-3*p - p + 2*p)*(1 - 2 + 0) + 4*p + 3*p - 88*p - 12*p.\nAnswer: -74*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -9.5 - 2.5. Let l = d + 12.2. Let v be (-1 + 0)*1\/3. Which is the closest to 0.3? (a) -3\/7 (b) v (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m + 44 = m. Let n = -232 + 244. Suppose 0 = 12*u + n*u - 2112. Calculate the greatest common factor of u and m.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*s - 7 - 0. Let z = s + 8. Solve a - 3*j = 10, 3*a = z*a - j + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = f**2 + f + 11. Let r be u(-10). Let l = -47 + r. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -91073080 divided by 14.\nAnswer: -6505220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -d**2 + 3. Let p be x(0). Suppose 4*a + 9 = -3*z + 4*z, 4*z - 17 = -p*a. Let j = -6 - -9. Solve 0 = -8*h + j*h + z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.15 + -0.05. Let y = -0.1 + g. Is -1.6 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-3)*i\/(i*i*i**(-2\/11)))**41\/((i*i**4)\/i**2*(i*i**(2\/5)*i)\/i*i\/i**(3\/7)) assuming i is positive.\nAnswer: i**(-62184\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 + -2 - (16 + 102 + -157)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -581, -586, -603, -638, -697?\n\"Answer: -r**3 + 2*r - 582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the first derivative of 2\/55*s**5 - 5\/11*s**4 + 72\/11*s + 74\/33*s**3 - 60\/11*s**2 + 9. Suppose i(j) = 0. What is j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 33 and 804364.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000003508 rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the third derivative of t**5\/30 + t**4\/24 + 3*t**2. Let d be z(-3). What is the highest common factor of 60 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**3 + 10*d**2 + 2*d - 37. Calculate the remainder when 105 is divided by a(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(52) + -2 - sqrt(52))*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15\/50*-2 + (10 - (-1330)\/175).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = w**3 + 299*w**2 + 2607*w - 21. What is v(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 122585 is divided by 40858.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 143*g**2 + 58*g - 35254 wrt g?\nAnswer: 286*g + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -4, -6, 3, 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4267 a factor of 937071516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + (-1120)\/(-144) + 70\/72.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = 3*v**2 + 20*v + 2. What is n(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the first derivative of 453*d**5\/5 + d**2\/2 + 3*d + 418. Find the second derivative of u(t) wrt t.\nAnswer: 5436*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-9)\/15 + 1 - (-685440)\/275. Let j = 2489 - t. What is the common denominator of -17 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 30*n**2 - 27*n - 9. Let i(q) = q**2 - 2*q - 1. Let u(w) = -5*i(w) + p(w). What is the second derivative of u(j) wrt j?\nAnswer: 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -286561*w**2 + 360*w - 360*w.\nAnswer: -286561*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 16123\/14 bigger than 1153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2420163 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of -j**6\/720 + 7*j**5\/360 - 5*j**4\/48 + j**3\/4 + 9*j**2. Factor y(n).\nAnswer: -(n - 3)**2*(n - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.4*173.848982.\nAnswer: -69.5395928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:13 AM and 9:18 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be (63\/12)\/(-3) - (-9)\/12. Calculate the smallest common multiple of 6 and (-60)\/(-45)*(s - (-5)\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaal when four letters picked without replacement from {l: 3, a: 9}?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1\/11)\/((-154)\/847))\/((-8413)\/(-188)).\nAnswer: -2\/179","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = 2*j**3 - 99*j**2 + 10*j + 1907. Let h be u(49). What is the fourth smallest value in 4\/3, -1\/3, 4, h?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6577*g**5 - 3*g**3 - 6*g**4 - 3*g**4 + 2*g**4 + 6648*g**5 + 5375*g**2 + 3*g**4 wrt g?\nAnswer: 4260*g**2 - 96*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1960945219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (51 - (28 + 2) - 85) + -14.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 20.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, -1, 679?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-26)\/(-4) + -2)*(-16448)\/135696*1\/2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 961520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15)\/9*3*4\/(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 180 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Are -31819 and -159092\/5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -38, -64, -90, -116?\n\"Answer: -26*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 24*h + 13*h. Let r be 28\/35 + 52\/(-140). Factor -r*z**3 + h*z**2 + 3\/7*z + 0.\nAnswer: -3*z*(z - 1)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 2\/9, 1\/7, -1\/8, 0.0463?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -55 (b) 0.4 (c) -3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81167 is divided by 18426.\nAnswer: 7463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**4\/h**4)\/(h**4*h)**(2\/133))**(-11) assuming h is positive.\nAnswer: h**(110\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2\/7 - 12744*i\/7 + 20301192\/7.\nAnswer: 2*(i - 3186)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 46 - 18 - 28 - 9*i**2 + 2*i**2.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 20997253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 123778642 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 + -1 + 7 + 13 + -19?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12679978 to the nearest integer?\nAnswer: 3561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 970 is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(-1*sqrt(85) - sqrt(85) - sqrt(85)) - (sqrt(85) + (sqrt(85) - sqrt(85)*-2)*1))\/(sqrt(315)\/sqrt(63) + sqrt(45)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -165 smaller than -491\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 76701 is divided by 18203?\nAnswer: 3889","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 18135088 and 12814.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 - 15*w - 2. Let i be z(-12). Suppose -31*a = -i*a + 3. Let v = 0.6 - 2.6. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Add together 18061 and 165.\nAnswer: 18226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vvh when three letters picked without replacement from vtvhdt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r. What is s(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -m**3 - 2*m**2 - 3*m - 1. Let z be x(-2). Suppose t + 3*y - 4360 = -3*t, z*y = -5*t + 5455. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 9) in base 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -357585004860 and -166?\nAnswer: 357585004694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**2 - 14383*a - 14383. What is y(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -7704 divided by 107\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0\/2 - 1\/(-4))*2. Which is the nearest to 2\/19? (a) 1\/4 (b) 1 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4334449*a**2 - 12088828.\nAnswer: 8668898*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 4*k + 3. Give u(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4 + 4216?\nAnswer: 4212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 9.492 + -739.116\nAnswer: -729.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o + o = -3*d + 71, -57 = -3*d - 3*o. Suppose -4*k + d = i, -i + 2*i = -2*k + 9. Is 1 < k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2241 - 5431220?\nAnswer: -5424535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 5*l - 21. Let y be g(4). Let w(m) = -2 + 1 - 4*m - 318*m**3 + 2*m. Is w(y) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -8*t**2 - 65*t + 41. Let s(x) = -9*x**2 - 65*x + 44. Let l(i) = -6*c(i) + 5*s(i). What is l(-22)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v**3 - 6. Let p = -3 + 3. Let u(i) = 3 + p*i**3 - i**3 + 2. Let x be ((-4)\/(-10))\/((-2)\/20). Give x*u(g) - 3*n(g).\nAnswer: g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide 2596 by -44.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -110670 (base 11) to base 12.\nAnswer: -8617b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 42 = 308. What are the prime factors of w?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -163.892489 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 6768.683 litres in millilitres?\nAnswer: 6768683","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = v**2 - 5*v + 11. Let k be f(5). Suppose 4*z + 3 = k. Let -2\/5*w**z + 0 - 2\/5*w = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b - 2*o + 10 + 13, 0 = -3*b - 4*o + 73. Suppose 0 = 3*w - b + 15. Suppose 5*q - 11 = -5*y + 34, -w*q = -y - 16. Solve -4 = q*t + 21 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -16213, -26222, -36207, -46162, -56081, -65958, -75787?\n\"Answer: b**3 + 6*b**2 - 10034*b - 6186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = -34.20306 + 34.2. What is m rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 533475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -101 (base 2) in base 16?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = l + 4*s - 22, -s + 11 = -0*l + 3*l. Solve 3*j - x - 8 + 5 = 0, 3 = l*j - x for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 13 + 18*u + 18*u - 34*u. Let c = -52 - -45. Let l be g(c). Sort 3, 0, l in descending order.\nAnswer: 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -19986*m + 79951. What is y(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 642639.\nAnswer: 3, 214213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = -127056 - -127046. Suppose 0*p - 3*p = 6. Which is the fourth biggest value? (a) p (b) 1 (c) 0.4 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27\/27*((-2)\/1)\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 4, h: 2, o: 1}. Give prob of picking 1 h and 3 d.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -312 divided by 104?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5690909 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 146 divide 12141421?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 245 = -167*b - 2626 + 32 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -187 + 188.024. Let j = -58699 - -58697.976417. Let k = t + j. Round k to 5 dps.\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -17 - -20. Put -4, 2, f in descending order.\nAnswer: f, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 103 (base 4) in base 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1877078*k*t**4 + 19*k*t**2 - 25808*k*t + 43*k - 22*t + 2 wrt t?\nAnswer: -22524936*k*t**2 + 38*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:08 AM and 10:33 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**3 + 4*f**2 + f. Calculate g(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i - 240 = -2*i. What is the nearest to -1 in -5, i, 0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f*f**(1\/4)*f)\/((f*f\/f**(1\/4))\/f)*(f*f\/(f*f\/(f\/(f**0\/f*f))*f)*f)**(-47) assuming f is positive.\nAnswer: f**(-89\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*l**3 + 18*l**3 + 46*l**3 - 23*l**3 + 2*l**3.\nAnswer: 36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the second derivative of -m**9\/252 + 3*m**8\/560 + m**7\/280 - m**3\/6 - 3*m. Let k(c) be the second derivative of s(c). Factor k(n).\nAnswer: -3*n**3*(n - 1)*(4*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 129 a factor of 18198943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 16 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 + z**2 + 4*z + 15. Let u(j) = -j**3 + 3*j + 11. Determine 3*p(l) - 4*u(l).\nAnswer: l**3 + 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 91*p - 30*p = -198 + 747 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*i - 14 = 14*i for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4 + 747021013\nAnswer: 747021017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 6*c**3 - 2*c**2 + c. Let w be r(1). Let d = -12 - -10. Let z be (-1 - d)\/((-10)\/(-30)). Sort 4, z, w in ascending order.\nAnswer: z, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2*(-1239)\/(-35) - (-8)\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38189930 a multiple of 2690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00041199 to four dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 215*v = 207*v + 4240. What are the prime factors of v?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*q = -9*q - 120 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-968)\/99)\/(-22)*-3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 157254966 divided by 8736387\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -1 < -89\/4915?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5*z = -68444. Let h = 307877\/18 - z. What is the common denominator of 99\/14 and h?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) be the second derivative of f**4\/12 - 2*f**3\/3 - 130*f**2 + f - 78. Let g be h(-22). What is the greatest common divisor of g and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -1, 1, -33, -9, -12 in decreasing order.\nAnswer: 1, -1, -3, -9, -12, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -68*s - 225. Determine x(3).\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 169 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u - 120 - 56 = 0. Let k be (-2 + 4)*55\/u. Let d(g) = -g**2 - g + 1. Let n(x) = -2*x**2 - 2*x + 6. Let o(c) = -d(c) + n(c). Calculate o(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - -20 - ((-2 - -4) + 7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*f**2 - 123 - 78*f + 2 + 40.\nAnswer: 3*(f - 27)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -24869 - -24870. What is the greatest common divisor of 3691 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11820 divided by -3?\nAnswer: -3940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 236\/767 + 4*(-594)\/117\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -10. Suppose 2 = -g*w + 18. Suppose -w*m + 2*h + 19 - 5 = 0, 0 = -m + 5*h + 26. Solve -5*l + 3*f - m = 0, 0 = -5*l - 3*f + 2*f + 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 502 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Do 0.2 and 1506 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = 37*x**2 - 10476*x + 1511. Give v(283).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -4.777 times 0.71?\nAnswer: -3.39167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 60\/(-30) - 33\/(-18)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 773*c - 776*c. Let f be c\/78 + (-82)\/(-26). Solve -3*v + 7 = d, f*v - 4 = -3*d + 5*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1681435?\nAnswer: 5, 7, 6863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 102*u - 209*u + 22 + 109*u to the form h + c*u and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x - 69 = -12*k, 5*x = k - 6*k + 24 + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 61*n - 9*n + 52 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 163 and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9865031 is divided by 2239.\nAnswer: 2236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88337?\nAnswer: 88337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/(-12) + 5\/(-3). Suppose 4*f + t = 131, -4*t - 31 = -f - 6*t. Is 17 a factor of f - (a - 0 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1740 + -1894.4. Let i = p + 116.4. Let b = 1 + -3. Sort b, -5\/2, i in increasing order.\nAnswer: i, -5\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 1.4 (b) -4 (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**2\/(c\/(c*c**(3\/10)))*(c*c*c**(1\/2)*c)**48 assuming c is positive.\nAnswer: c**(1703\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 2593957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 82 (base 16) to base 4\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 30652270 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 69311 is divided by 456?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 666873781 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the third derivative of -y**5\/60 + 19*y**4\/12 - 37*y**3\/6 + 1254*y**2. Factor s(o).\nAnswer: -(o - 37)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 12\/7*63\/18. Suppose -o - s = 3*m, 4*o + 4 = -3*m - 2. Let c(u) = u**3 - u**2 - u - 5. Determine c(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 429 minutes before 9:42 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 2 e when three letters picked without replacement from cewktwef.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4095 + -28618\/7. Let c be (-2364)\/43*(-46683)\/936. Let v = 2742 - c. What is the common denominator of o and v?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2. Let f(j) = j + 11. Let u(k) = 3. Let h = 37 - 15. Let q(i) = h*u(i) - 6*f(i). Give t(q(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 0.1, 13\/2, 2\/11, -0.371?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = -65 + 61. Let i be (0 - x\/12) + (-250)\/3. Let j = -27 - i. What is the remainder when 165 is divided by j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1208 and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 362*i. Let d(l) = -2*l**2. Determine d(p(y)).\nAnswer: -262088*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 877778 (base 13) in base 6?\nAnswer: 152150152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 29321*d - 2465. Is n(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -48, -13, -1, 1, 4, 64 in increasing order.\nAnswer: -48, -13, -1, 1, 4, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 3*r + 18 = 0, 3*r - 3 = 3. Suppose -4112 - 2160 = -a*m. Suppose 0 = 2*w + 4*u - 296, -u = -2*w - 3*w + m. Is w a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ddodkkodddadd?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be (2 - (-51)\/(-2))*(2 + 0). Put -3, 0, d in ascending order.\nAnswer: d, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 220*t + 20. Let q(i) = -i - 2. Let y(f) = -q(f) + u(f). List the prime factors of y(2).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 27 + -22. Let z = d + -4.9. Sort 1, z, -4 in ascending order.\nAnswer: -4, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -107451 greater than or equal to 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7 + 11. Let y = 4.1 - j. Let o = -13 + 12.8. Which is the nearest to o? (a) y (b) -1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 4 - 1)*((-i - i + 4*i)*(-9 - 74 - 7) - 2*i + 0*i + 3*i).\nAnswer: 537*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3072 and 44?\nAnswer: 33792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (12816*l**4 - 6017*l**4 - 5992*l**4)*(-3*l + l + l).\nAnswer: -807*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(100) - sqrt(100)*-4 - sqrt(100))\/sqrt(5))\/sqrt(10)*-3*4.\nAnswer: -192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-66)\/(-15) + (-10)\/25. Suppose 0 = 2*o + h*w - 226, 2*w - 512 = -5*o + 21. Calculate the remainder when o is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from phnphnhphhnphhhnp. What is prob of sequence npph?\nAnswer: 4\/357","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 385, 327, 165, -155, -687, -1485?\nAnswer: -2603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*c - l = -92 - 72 + 232, -3*l = -5*c + 241 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3a (base 14) to base 2.\nAnswer: 110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - 2*d - 15, -4*k - 11 = -d - 2. Which is the third smallest value? (a) 2\/11 (b) k (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 3:06 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:26 AM and 12:04 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 378 - 186 = 2*b, -4*b + 12 = 0. Let x = h + 59. Is (1 + 0)\/((-2)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9503.209 kilograms in nanograms?\nAnswer: 9503209000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*d**2 + 2*d**2 - d**2)*(-8*d - 9*d - 8 + 18*d)*(0 + 2 - 1)*(1 - 1 - 2) to the form w*d**3 + t*d**2 + o*d + k and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 25\/14? (a) -0.11 (b) 0.2 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:29 PM and 3:25 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4*(5 + -1)*-7. Let o = 157 + a. Suppose -k + 5 = -2*b + 10, -4*k = 5*b - o. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 86\/741 and -29\/39.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2*d**4 + d**3 - 187905*d**2 - 361670.\nAnswer: -8*d**3 + 3*d**2 - 375810*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 110318 and 2978586?\nAnswer: 2978586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000081952 rounded to 6 decimal places?\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 - 11. Let a(q) = -6 - o*q + 2 + 4. Let u(l) be the third derivative of l**5\/60 + 2*l**2. Calculate u(a(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 2177 by 57091.\nAnswer: 2177\/57091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4360 = 8*n - 18040. Is 35 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1691, 6918, 19235, 42188, 79323?\nAnswer: 134186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**2 + 191. Is i(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and -0.17.\nAnswer: -0.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0 + 1. Let g = h - -4. Let q = -15 + 48. Solve -g*o = -q + 8 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -2*r**2 + 5*r - 5*r - 2 + 1 - 6*r. Let y(n) = -n. Let l(b) = a(b) - 4*y(b). Suppose 0 = 4*p - 7*p - 3. Give l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2.09 + -2.39. Sort -3, f, 2\/13 in decreasing order.\nAnswer: 2\/13, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16966656 is divided by 9307.\nAnswer: 9302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 2*q + 22 = 0, -5*a + 3*q = 82 - 3. Let c = -10 - a. What is the greatest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = s + 3. Let b be v(-2). Which is bigger: b or -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1563, 1285, 1009, 735, 463, 193, -75?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1, -0.3, 2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 547 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + 2*r + 1199 + 1091, -2*m + 2*r + 1144 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -333.8517 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 17\/133?\nAnswer: 17\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1.95779 times -76?\nAnswer: -148.79204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*(r*r**12\/r*r)\/r*r)**(6\/17) assuming r is positive.\nAnswer: r**(84\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:32 PM and 7:48 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (1 - 16) + -2225 + 2195\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -295 + 303. Solve -4 = -s - 3*h, -6*h + z = 2*s - h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2010133 - -100?\nAnswer: -2010033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-80)\/(-12) - (-2)\/6. Let a = 17 - s. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -2*j**2 - 19*j + 5. Let h = -183 + 173. Let o be b(h). Let l = 9 + -10. What is the biggest value in o, -1\/5, l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -4405 (base 6) to base 13\nAnswer: -5cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -9981*t - 54315. What is p(-5)?\nAnswer: -4410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 48*p + 47 - 143. Let i be ((-6)\/42*0)\/p. Solve 15*b = -i*b + 15 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(10\/17)\/z*z*z\/z**7 assuming z is positive.\nAnswer: z**(-92\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 111342023*n**6 + 45587828*n**2.\nAnswer: 13361042760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of -494 and -367697707.\nAnswer: -367698201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-300)\/140 - 0)*-7.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 28794086 to the nearest integer?\nAnswer: 5366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1371.\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 73460 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 3 - -400?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 323 - 326. Sort 4, 0.0036, s in descending order.\nAnswer: 4, 0.0036, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 285*t**5 - 2*t**4 - 219*t**3 - 77064*t.\nAnswer: 5700*t**3 - 24*t**2 - 1314*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 divided by 9521803.\nAnswer: 7\/9521803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -9*a + 10*a - 5*b, 5*a = -b - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 68090789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/224 and 27\/4.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -162, -49, 0 in ascending order.\nAnswer: -162, -49, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -214404 (base 7) to base 14\nAnswer: -d9ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 271734 (base 9) in base 15?\nAnswer: 33ed7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -6856738 minus 18066?\nAnswer: -6874804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u + u + 15. Let f(x) = -x + 32. Let k be f(12). Suppose k = 5*h - 5. Solve h*y - 1 = -2*d + 13, -2*y - d + u = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -2*p - 4. Let s(j) = -j + 2. Let z be s(7). Let h be y(z). Let w be ((-3)\/(-9))\/((-3)\/(-54)). Calculate the highest common divisor of w and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -96 and 1554628.\nAnswer: -149244288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**7*t**0)\/(t**(2\/5))**10)**41 assuming t is positive.\nAnswer: t**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = 3*z**2 - 249*z + 22. Let q = -2 - -7. Suppose 2*u - 7 = q. What is the lowest common multiple of w(83) and u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.32, -40\/13, 63, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1853437 + -1853547.0049. Let h = -106 - -216. Let d = h + r. Round d to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -3 - 212320?\nAnswer: -212323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 2 and 29370000.\nAnswer: 58740000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 - 0. Let b = 489 - 481. Factor -b*x**4 - 2*x + 2*x + 8*x**p + 4*x - 4*x**5.\nAnswer: -4*x*(x - 1)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of -r**8\/336 + 16*r**7\/105 - r**5\/5 + 93*r**4\/8 + 5*r**3\/3 - 20*r**2 - 4*r + 3. Find the second derivative of n(y) wrt y.\nAnswer: -20*y**3 + 384*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 3*p = -1, 4*v + 4*p - 8 = 0. Suppose -v*a + 8 = 2. What are the prime factors of (1\/2 + a)*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5469 - 5445. Sort 1, -2, c.\nAnswer: -2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -5*l + 2*l**3 + 16 - 26 + 18 + 3*l**2. List the prime factors of b(3).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + n = 9, h + 7*n - 11*n - 9 = 0. What is the closest to h in -0.4, 3, 2, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10, 102, 296, 592, 990?\nAnswer: 1490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (w + 0*w - 4*w)*(w**3 + 0*w**3 - 2*w**3 + (w**2 - 4*w**2 + 12*w**2)*(4*w - 2*w + 0*w)).\nAnswer: -51*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the second derivative of -t**3 - t. Let n(q) = -19*q + 11*q + 6*q. Calculate n(l(c)).\nAnswer: 12*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m = 72139394 - 72139240.999901. Let l = 153 - m. Round l to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2451712 + 2451712 - 3*b**2 + 166*b**2.\nAnswer: 163*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 1 (b) 3 (c) -5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -288763407 equal to -288763408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14277 is divided by 1098?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -1426*d + 1417*d + 36. Sort -2, -12, -1, d in descending order.\nAnswer: d, -1, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7698 bigger than -7700?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j*j**(-13)*j**(-15)\/j)\/(j**0)**42)**(-6) assuming j is positive.\nAnswer: j**162","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -1 (b) 3 (c) 4\/19 (d) 2\/3 (e) 2\/181 (f) 2\/9 (g) -3\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 - (-1 - (4 + 3)). Let y be (0 + 5\/u)*-2. Let m(i) = -i. Let b(c) = 35*c + 27. Let p(j) = y*b(j) - 3*m(j). Differentiate p(d) wrt d.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -20*j**3 - 2*j**2 + 13*j + 29. Calculate b(-2).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2040 and 6528?\nAnswer: 32640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.3 + 1. Let r = -3\/5 + 2\/5. Which is greater: g or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/234 and 51\/130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 541196280 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.038459ml to litres.\nAnswer: 0.006038459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.09393 and 1.\nAnswer: -0.09393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 171 and 114798?\nAnswer: 344394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w + 5*g - 7724, 5*w - 8*w = -3*g - 11607. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 times 4.8\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*o = 8*o + 75 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 85 - 50. Let o be (30\/p)\/((-3)\/(-42)). Find the second derivative of -20*l + o*l**4 + 5 + 5*l - 5 wrt l.\nAnswer: 144*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -a = -9*a + 56 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -13 - -15. Suppose -k - i*k = 3*y - 12, 10 = k - 2*y. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 76 in 0.5, -2\/5, -0.04, 1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14153 + -7295. What is the greatest common factor of 12 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-175)\/21 - -8)*-2*-4.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s. Let g(l) = l**2 + 5*l - 2. Let n(r) = g(r) - 2*w(r). What is n(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*n - 4*n - n + (-28 + 115 - 40)*(-2*n - 3*n - n).\nAnswer: -289*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 523 a factor of 14006257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(3\/5)\/r)**21*((((r*r**(28\/9)*r*r)\/r)\/r)\/r)\/(r\/(r\/r**44)) assuming r is positive.\nAnswer: r**(-2218\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(147)*1 - 1*(sqrt(48) + 0))**2.\nAnswer: 2883","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine a, given that 128018*a**3\/3 + 10128143058*a**2 - 240193134*a + 1424070 = 0.\nAnswer: -237345, 3\/253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*-1*sqrt(121) + (sqrt(121) - 4*(-2*sqrt(121) + sqrt(121)) - sqrt(121)))\/((-5*(sqrt(88) - sqrt(88)*-2) - sqrt(88))\/sqrt(8))*1)**2 + 0.\nAnswer: 99\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 116 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c, 1 b, and 2 a when four letters picked without replacement from aaclbb.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10897*h*v**2 + h*v*y**2 + 58*h*y**2 + 379*h + 8*v**2*y**2 wrt v?\nAnswer: -21794*h + 16*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 - 5*m**2 - 5*m - 8. Let k be c(6). Does 30 divide 1*(0 + (k - -3) + 78)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 204050 = -3*x - 20578385, 5*x - d + 33957249 = 0. Let a = x + 4291449. Round a to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -j**3 + 4*j**2 + 3*j - 6. Calculate o(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1491 = 43*j - 36*j. Solve 0 = -4*a - j + 201 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1779 - 4841. Let c = 2018 - o. What is c rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = 115*q - 120*q - 41, 5 = -q for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-340)\/(-135) + 2\/(-1). Which is smaller: 1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/1703 and 23\/4.\nAnswer: 6812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 9952 by -6.\nAnswer: -4976\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((-42)\/10)\/(22\/(-240)*(-10584)\/(-8316))\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of -4\/39*y**3 - 1\/39*y**6 + 0*y**4 - 18 + 0*y + 4\/65*y**5 + 1\/13*y**2. Factor a(q).\nAnswer: -2*q*(q - 1)**3*(q + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = a**2 + 98*a + 394. Determine j(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-9)\/6 + 2)*16. Let t be a\/((-3 - -1)\/(-1)). Find the second derivative of -c**4 - 2*c**4 + t*c**4 - 2*c wrt c.\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(1053)*1 + 1 + sqrt(1053) + -3 + 2 + 3 + -4)**2.\nAnswer: 72*sqrt(13) + 4216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -12662, -25321, -37980, -50639, -63298, -75957?\n\"Answer: -12659*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -288420 divided by 627?\nAnswer: -460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**2 + 6*v + 6. Let k be g(6). Let x(m) = 30555*m**2 + 2*m + 8. Let f be x(k). What is f rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*i + 40*i + 41*i - 186*i + 44*i + 23*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -126*n - 56 + 50 + 4 in the form v*n + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 5, e: 1, s: 1, w: 1, u: 6, g: 6}. What is prob of picking 1 w and 1 u?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-10)\/t)**(-21) assuming t is positive.\nAnswer: t**231","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 243*f**3 + 22*f**2 - 30*f + 12. Let a(h) = 49*h**3 + 4*h**2 - 6*h + 2. Calculate 11*a(g) - 2*v(g).\nAnswer: 53*g**3 - 6*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: 2fe77 (base 16) to base 8\nAnswer: 577167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 217811 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3186406 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: Round 46111030 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t - 46. What is l(-35)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 7419 = -4*b + 2*b, 3*h = -b + 3702. Let n = -40837\/11 + b. Find the common denominator of n and 1 + -4*(-22)\/20.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 6 + 2)*(5 - 7*p - 3 + 21*p)*(2 + 2 - 2)*(-1 + 0 + 2).\nAnswer: -28*p - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0010434545 rounded to six dps?\nAnswer: -0.001043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/8)\/((-96)\/48).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mmmgmmmgmvvv. What is prob of picking 1 m and 1 v?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 31 = -a, 2*v + 7 = -3*a - 1. Let x = -4 - a. Suppose -4 = -4*i + x*i. Solve -i = m + m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1\/(-1) - (-4)\/8. Let j = 29 + -33.01. Let f = j - -0.01. Which is the closest to -1? (a) f (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 566, -1\/4, 3, -3\/2, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -187*s + 2632. Let y be c(14). Solve 3*m = -4*m + y for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in 2*z**4\/11 + 32*z**3\/11 - 12622*z**2\/11 + 62268*z\/11 - 49680\/11 = 0?\nAnswer: -90, 1, 4, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c**3 - 5*c**2 - 7*c + 57. Let a be y(5). Suppose -7*w - a = -2472. Does 25 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 286285?\nAnswer: 5, 31, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 191261844 is divided by 8385.\nAnswer: 8379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 112 - -100532?\nAnswer: 100644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*i + 10*i = 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 606 a factor of 210888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 566580 and 23009.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 414 divided by 138.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4*-3*4\/(-168).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -129 = -2*x + 5*z - 0, -4*x - 4*z = -328. Suppose 5*c = -3*o + 15, -c - 4*c = 0. Suppose 12 = o*r - 23. Calculate the highest common factor of r and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16914529 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b - 2. Let j be v(0). Let l be (-7)\/(-2) + j\/4. Suppose -4*o = l*x - 94, 2*o + x = o + 24. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1073 + -1038. Let l(i) = i**2 + 5. Let s be l(0). What is the highest common factor of s and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*v**3 + 9*v**2 + 3*v**3 + v**3 - 14*v**2 to y*v + u*v**3 + z + l*v**2 and give l.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 - -2) + -4 + 4. Suppose -7*h = -3*h + o*x - 100, -4*h + 5*x = -86. Let q be -3 + 1\/(4\/h). Solve -6*s = -q*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:41 PM and 2:57 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -3*b**2. Let a(i) = -3*i**2 + 37. Let v(m) = -m**2 + 9. Let o(w) = 2*a(w) - 9*v(w). Let n(l) be the first derivative of o(l). What is r(n(k))?\nAnswer: -108*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 101 - -10001001111?\nAnswer: 10001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -915, -1027, -1287, -1695, -2251, -2955?\nAnswer: -3807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 176*b + 113 = -246*b + 1426 + 3751 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -1855.5 minus -10438?\nAnswer: 8582.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 24332 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 - 2*b**2 + 2*b + 6. Let j be m(-2). Let z be j\/(12\/2)*1. What is a in -z*a**2 - 2\/3 - a = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -p**3 - p**2 + 4*p - 1. Let f be t(-4). Suppose -f - 23 = -3*l. Calculate the remainder when 446\/l + (-2)\/(-9) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 182 and 49530.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -9*l**2. Let n(o) = -18482013*o. Give n(r(y)).\nAnswer: 166338117*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 250980907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*z = -3*z - 29436. Let w = -553 - z. Does 18 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 13*b + 204. What is the units digit of h(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -55 - -59. Let y = 119 - 831\/7. Let s(i) = 2*i**3 + 31*i**2 + 15*i + 3. Let f be s(-15). What is the nearest to -7 in f, y, q?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -81.65549521 and -0.5.\nAnswer: -82.15549521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 496.96 - 481. Let h = 16 - q. Let i = 0.056 - h. What is i rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 3, l: 1}. What is prob of picking 1 l and 1 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(612) - (5 + -4*sqrt(612))) + 5 - ((sqrt(612) - (sqrt(612) + 2 + sqrt(612) + 1)) + 0))**2.\nAnswer: 216*sqrt(17) + 22041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 11778.957 minutes to hours.\nAnswer: 196.31595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 1 a when three letters picked without replacement from {l: 3, r: 1, a: 1, x: 4, k: 4, i: 1}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d*d**1)**(6\/11)*(d*d*d*d\/(d\/(d*d*d**2*d*d)*d))\/d*d**(1\/3) assuming d is positive.\nAnswer: d**(296\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -132, -284, -434, -582, -728?\nAnswer: -872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -19\/4 in 5, 4, 0.5, 1\/29, -13?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -2*i**5\/9 - 101090*i**4\/9 - 1276437854*i**3\/9 + 24276788170*i**2\/9 - 152099950352*i\/9 + 313197966760\/9 = 0. Calculate i.\nAnswer: -25282, 5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 14448985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -46975, -94149, -141323, -188497?\nAnswer: -235671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**3 + 6*r**2 - 8*r + 9. Let m be y(-7). Let x = m - -2. Is x\/(-1 - 6\/(-2)) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 + 12. Suppose 0*p + s = 3*p + 3*n, 5*p - 11 = -3*n. Let u = p - -19. What is the greatest common divisor of u and 140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s + 3*n = -79 - 326, -264 = 2*s - n. Suppose 238 = -3*i + 10. Let t = i - s. Is 19 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*x = -17*x - 6 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 10 + 1 - 3*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/60*-1*3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((g**(-2\/19)*g**(-5))**(-26))**(-1\/12))**(-1\/11) assuming g is positive.\nAnswer: g**(1261\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 3, s: 2, i: 15}. What is prob of picking 2 k and 1 s?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:18 AM and 9:22 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 25400*b - 12532*b - 12708*b. Let q(j) = 32*j. Determine 14*q(r) - 3*s(r).\nAnswer: -32*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 149\/356934 and -107\/217968?\nAnswer: 682457808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(((sqrt(133)*2*6)\/(sqrt(7)*2*-2))**2 + (-3 + 1*sqrt(19) + (sqrt(342)\/sqrt(6))\/sqrt(3))**2).\nAnswer: -24*sqrt(19) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a**2 + 2*a**2 - 3*a**2)*(43 - 22*a**3 - 43) + 7*a**5 - 2*a**5 - a**5.\nAnswer: -62*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most as big as 6\/157870183?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 112*k**2. Let q(g) = 316067*g**2. Determine d(q(p)).\nAnswer: 11188615030768*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 7828 = -4*l, -2*a - 4*l + 3896 = -0*l. Does 65 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 210 - 1892\/9. Let s(f) = -f**3 + 5*f**2 - f + 6. Let o be s(5). What is the smallest value in o, z, 0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = -g + 50. What is the remainder when g is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*g + 0*g + 3*g - g + 3*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 329*c**5 - 2*c**3 - 2503*c**2.\nAnswer: 19740*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*o**2*q - 2*o**2 + 2*o*q + o + 7109*q with respect to o.\nAnswer: -28*o*q - 4*o + 2*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 198, 379, 644, 1035, 1594?\n\"Answer: 7*g**3 + 132*g + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 590*j - 601*j + 1193451 + 695612 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 59 - 26. Suppose -73*n - 2*n + 2025 = 0. Calculate the smallest common multiple of w and n.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4242 + -4234. Calculate the greatest common factor of 137 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 35, 62, 89?\n\"Answer: 27*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 2*w**2 - 11*w. Let o = 0 - -3. Let g be (3 + (-28)\/12)*o. Let p(f) = 2*f**2 - 8*f**g + 5*f**2. Give r(p(z)).\nAnswer: 2*z**4 + 11*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5824 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 13 = -4. Let t be 4*(-598)\/(-20) - 6\/(-15). Let j be ((-8)\/t*6)\/(3\/(-15)). Solve j*l = -i*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkkkkkkkvkvvkkkkkkv. What is prob of picking 2 v?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -46*c + 44*c + 24, -2*w - 36 = -5*c. Put -3, 4, -2, c in increasing order.\nAnswer: -3, -2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the first derivative of 13*a**2\/2 - 11*a - 1. Is p(13) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17.9996 - -18. What is z rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -609303.048 minus -1?\nAnswer: -609302.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2)\/(-3) + 112\/84. Suppose n*v + 6*b - 4*b = 1200, 0 = 4*v - 4*b - 2416. Is v a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**3 + 7*g**2 - g + 13. Let a be v(-7). Suppose -3*j - j + a = 4*z, -1 = -j + 3*z. Suppose -h + 4 - 4*h**j - h - 4*h + 8*h**3 - 2*h = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the first derivative of -u**5\/5 + u**3 + 5. What is the third derivative of m(t) wrt t?\nAnswer: -24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ti when two letters picked without replacement from {t: 6, i: 7}.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (6\/5 - (-8 + 13)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.7 and 1044?\nAnswer: -730.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-54)\/(-396) - 8109\/1870.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 + -5. What is the nearest to 2 in -0.1, 2\/3, m?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, -40, -5, 1, 2 in descending order.\nAnswer: 2, 1, -5, -7, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15 - -17. Suppose -55*x + 1970 = -693 - 1077. What is the least common multiple of n and x?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 5 + 2. Suppose 2*i - 50 = -3*i. Let p = 46 + i. Calculate the highest common divisor of w and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**2 - 5*j - 5. Let v be g(4). Let s = 13 + v. What is the second derivative of 19*i**4 - 3*i**4 + s*i - 6*i**4 wrt i?\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is t in 2*t**2\/7 - 9008*t\/7 + 7921176\/7 = 0?\nAnswer: 1198, 3306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1278097*v**2 + 166*v + 4 - 4 + 1278096*v**2.\nAnswer: -v**2 + 166*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*s + 21 = -5*d + 3*s, -6*d - 2*s = -5*d + 9 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01103642 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = z**2. Let t(y) = 10*y - 8. Let x(r) be the first derivative of -r**2\/2 + r + 4. Suppose 2*s + 48 = -0*s. Let b(c) = s*x(c) - 3*t(c). What is g(b(a))?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = -196\/9 - -22. Factor -a*m**2 + 0 - 2\/9*m.\nAnswer: -2*m*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1568.4 - 1568.6. What is the third smallest value in 85\/2, m, 3\/2, -3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-62)\/(-4) + 3\/6. Let o be 3\/(-6) - (-706)\/4. What is the greatest common divisor of k and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 5 = 0, t = -3*h - 380 - 369. Let n = -788 - t. Suppose 3*d - 5*w + 177 = 0, 14 = 4*w + 2. Does d = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/(-2)*3\/33*2256\/3384.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -n**2 - 2*n + 3. Let x be o(-3). Suppose x = 3*f - f - 8. Let z(m) = -2*m**2 - m**3 - 1 - m + 4*m**2 + 2*m**2. Determine z(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 6\/20549 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1813*r - 4 - 3878*r + 5.\nAnswer: -5691*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03289323736 rounded to four decimal places?\nAnswer: 0.0329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1, -292, -5, -1\/8, -3\/4, 465, 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 8, b: 5, f: 3, i: 2, w: 1}. What is prob of sequence bf?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4 at least 656\/153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 165 - 165.8. What is the nearest to w in -3, 0.5, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 203*(-36)\/(-6384) + (-5)\/4. Which is the second smallest value? (a) -5 (b) 8 (c) v (d) 2\/3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(-4*(3*sqrt(1088) - sqrt(1088)) + (1 + sqrt(1088))*-1)**2.\nAnswer: 864*sqrt(17) + 528774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -15.988 - 0.012. What is the second smallest value in 0.4, 3\/2, s?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10 + 33. Find the third derivative of 4*r**4 + c*r**2 + 0*r**4 + 0*r**4 wrt r.\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*q**3\/2 - 6795*q**2 - 6807258*q + 2066557548.\nAnswer: -3*(q - 242)*(q + 2386)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9)\/15 + 1)\/((-7)\/5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**3 - 6*o**2 - 4*o + 3. Suppose 3*l + 20 = s, 4*l - 2*s + 30 = -0*l. Let i be k(l). Let u be 9\/6*i + 18. Solve 2*t = -3*t - u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.04 times -928\nAnswer: 37.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.1008 - 50.0008. Let m = -55 - s. Round m to 1 dp.\nAnswer: -5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 603377754?\nAnswer: 2, 3, 7, 877, 16381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91 = 4*c - 37. Suppose -4*i = -3*a + 4*a - c, 0 = -5*a + 2*i + 116. What is the remainder when (8 - -3) + (-1330)\/(-38) is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 378 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes before 7:49 AM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.067? (a) -5 (b) 5 (c) 3145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 - 7. Let n be -1 - (8\/f + -9). Solve 4*k = 6*k - n for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 25 + -27. Let z be 0*(j\/2)\/3. Solve -3*h + 11 + 1 = z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -0.23 (c) 0.76 (d) 0.1 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 - 238 = -4*p. Suppose 0 = 4*d + d. Suppose d*r = -r + p. List the prime factors of r.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -46, 0.1, -0.1?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 565 less than or equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 14 divided by -192\nAnswer: -7\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 27196 and 1612?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7076*h + h**3 + 7089*h - 14165*h.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 12:58 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 3, 1\/2, 0.4, -9\/7?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 55354374 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -17*c**3*y**2 - 27*c**3*y - 4416*c**3 + 3*c*y**2 wrt y.\nAnswer: -34*c**3*y - 27*c**3 + 6*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -29, -15, 1, -8, 1082 in descending order.\nAnswer: 1082, 1, -8, -15, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**2 - 38*k - 362. Give m(46).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d**2\/2 - 1719*d + 406812 = 0. Calculate d.\nAnswer: 334, 812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3450 - 23468?\nAnswer: -20018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1362597.85 rounded to the nearest 1000?\nAnswer: 1363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (3 + 4 + sqrt(171) + 1)**2 + 1*(5 + 2*sqrt(171)).\nAnswer: 54*sqrt(19) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, r: 1, k: 1, u: 1, n: 1, s: 1}. Give prob of sequence su.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 2250050.4 to the nearest 1000.\nAnswer: 2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 832, 1671, 2522, 3391, 4284, 5207, 6166, 7167?\nAnswer: 8216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/4*u**5 + 3*u**4 + 0*u + 0 + 0*u**2 - 9\/4*u**3.\nAnswer: -3*u**3*(u - 3)*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3743826481?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 60 = -7*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 11*t**5 + 12*t**3 + 156*t**2 + 308*t - 6. Let y(q) = 2*q**5 + 2*q**3 + q - 1. Let b(c) = -j(c) + 6*y(c). Find the second derivative of b(s) wrt s.\nAnswer: 20*s**3 - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*n = -2*n - 9 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 540233640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -83898 divided by -41949\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-1)\/(-14))\/((-25)\/(-3150)*21). Let r = -0.02 + 5.02. What is the second biggest value in i, 0.7, r?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 242 = -3*l + 5*l. Find the common denominator of 5\/10 + l\/(-10) and 2 + -1 + (-30)\/(-7).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/15)\/3*(9 - 7)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*d**2\/3 + 1245731*d\/3 + 332196.\nAnswer: -(d - 249147)*(5*d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the third derivative of -1\/60*l**5 + l**2 - 1\/336*l**8 + 0*l**3 + 0*l**4 + 1\/120*l**6 + 0*l + 0 + 1\/210*l**7. Suppose b(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -230*i**2 - 1827*i. Determine j(-8).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -800 - -809. Suppose -4*x = 5*k - 16, -2*k - 3*k + 4 = x. What is the remainder when d is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (118*f + 6*f**2 - 118*f)*(13 + 22 - 61 - 89).\nAnswer: -690*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -v - 2*o, -3*o - 24 = 29*v - 32*v. What is the third derivative of -960*i**2 - 1163*i**2 + 1775*i**2 + 99*i**v + i**3 wrt i?\nAnswer: 11880*i**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*q + 2*q + 258. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 49256693, 49256701, 49256715, 49256735, 49256761?\n\"Answer: 3*c**2 - c + 49256691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add 1509033.6 and 234274.1.\nAnswer: 1743307.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 167*d - 270 - 6485 - 340 = 2*d for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 3*g - 20, q - g + 4*g - 16 = 0. Let x(o) = q - 8 + 0*o + o - 2. Give x(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 185.\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 73320*v**4 + 2*v**3 - 49*v**2 - 39204489*v?\nAnswer: 879840*v**2 + 12*v - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1514, -6062, -13642, -24254, -37898, -54574?\nAnswer: -74282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + -3 + -5 + (14 - -3 - (8 - 1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.1 from 168.\nAnswer: 168.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {a: 6, p: 1, o: 1, z: 3, u: 3, v: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 119 = 6*x + 149 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 29543491 + -187746\nAnswer: 29355745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**4)\/i**(1\/7)*((i*i\/i**(-6))\/i*i)\/(i\/(i\/((i\/(i**(-2)\/i))\/i))*i) assuming i is positive.\nAnswer: i**(6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 538430.9 litres?\nAnswer: 538430900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the third derivative of -1\/840*g**7 + 0*g**4 - 2*g**2 - 1\/24*g**3 + 0*g + 0 + 0*g**6 + 1\/120*g**5. Factor u(r).\nAnswer: -(r - 1)**2*(r + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -333 by -11.\nAnswer: 333\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -4 + 8 - k**2 + 0*k**2 - 4*k. Let n(u) = -u**2 - 11*u - 14. Let w be n(-10). List the prime factors of s(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 - -11. Suppose 3*j = 6*j - h. What is the highest common factor of 20 and j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 445173190 + 445172325 - 8*z**3 - 890345515.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let 2*k**5 - 2132*k**4 + 8464*k**3 + 34016*k**2 - 33888*k - 101952 = 0. What is k?\nAnswer: -2, 2, 6, 1062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*j*m**3*y + 9*j*m**3 - 144*j*m**2*y - 2*j*m - 59*j*y - 11*m**3*y - 42*m**3 + 2*m wrt m.\nAnswer: -30*j*y + 54*j - 66*y - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, 1, 2, -5, -1, 10619 in decreasing order.\nAnswer: 10619, 5, 2, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be (108\/(-72))\/(((-15)\/6)\/5). Solve 2*i = 5*w + 26, 2*w - l*i + 21 = -w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iia when three letters picked without replacement from ixaaaxwaawaaxixaia?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.05, 5, 12, 0.038, -5, 2, 71?\nAnswer: 0.038","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 92595 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 4296.785 milligrams?\nAnswer: 0.004296785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -874787 plus 0?\nAnswer: -874787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -3*s + 11. Let b be a(8). Let r(n) = -n**3 - 12*n**2 - 12. Let o be r(-12). Is o != b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**2)**(-27))**(3\/46) assuming s is positive.\nAnswer: s**(-243\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -1001111100010 (base 2) to base 5\nAnswer: -130330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 29999576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + l = -7, -4*l = 5*i - 6*l - 26. Suppose 3*p + i = 166. Calculate the remainder when p is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 669 + 286b?\nAnswer: 3207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1331 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1890 and 41403690?\nAnswer: 289825830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkkoalkeokdkkklklok. Give prob of picking 1 l and 1 o.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 252879*d**2 + 252809*d**2 - 505687*d**2.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 6c30 + 10?\nAnswer: 6c40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17, 79, 183, 329?\nAnswer: 517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15487 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 6 - 1 - ((-27)\/12 - -7)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*255\/(-504) + 54\/(-144).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 208031.\nAnswer: 19, 10949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/5 at most -12897\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-134 + 63*d + 134)*(-2*d**3 + d**3 - d**3) + 0*d**3 + 2*d**4 + 25*d**4 + 0*d**3 in the form x*d**3 + j*d**4 + i*d**2 + g + t*d and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = b**2 + 6*b + 12. Suppose 0 = -3*s - 4*a + 71, 48 = -4*s + 5*a + 122. Let m = -26 + s. Let t be k(m). Solve 4*q = w + t, 5 = -3*w - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q - 12 = -3*x + 3*q, 0 = 3*q - 6. Solve x*h = -2*h - 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -316.9 + 368.66. Let h = 51 - j. Let r = h - -1.76. What is the fourth smallest value in r, -1, 3, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9070193 rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from iihhhiihihiidhd. What is prob of sequence iiih?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 499\/720 - -1\/144. Let x = m - 19\/20. Sort -9, x, -2 in increasing order.\nAnswer: -9, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/(-9) - 53\/(-3). Suppose z = 3*z - o. Is z at least 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*m - 44*m + 133848. List the prime factors of m.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*i**4\/2 + 29*i**3\/2 - 25*i**2\/2 + 3*i\/2.\nAnswer: -i*(i - 3)*(i - 1)*(7*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00013722322 to 7 decimal places.\nAnswer: 0.0001372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-5)*(-259)\/((-23051)\/6675).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes before 8:27 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Product of 15.37 and 5.\nAnswer: 76.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 3 + 6*y**2 - 4*y**2 + (7*y - 8 + 8)*(2 + 2*y - 2) to r + s*y**2 + t*y and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(45) - (0 + sqrt(45))) + 5 - (sqrt(5) + 1 + -5)*6)*-1)**2.\nAnswer: -348*sqrt(5) + 1021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - ((6 - (-2 + 7)) + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 131375.\nAnswer: 5, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -f**3 + 6*f**2 + 2*f - 3. Let u be q(6). Let t = -2 + u. What is the third derivative of 0 + t - 2*h**2 - 7 + 5*h**4 wrt h?\nAnswer: 120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -526*y**2 + 5907 + 6055 - 11962.\nAnswer: -526*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-one eighths of a millimeter?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -s**3 - 10*s**2 + 11*s - 103. What is q(-12)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from rkaffrasrrksvk?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**3 - 13*n**2 + 11*n + 20. Let d be y(12). Let b = -2 + d. What is the remainder when 29 is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssssssssssgs. What is prob of picking 4 s?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 62 and 1333.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3\/11, -0.07, -0.3, 0.3, 0.521?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 10499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be 40 - (2 + -1)*-1. Solve 5*s - i = -16 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-3))\/((-2)\/(-9)). Let o = n - 1. Suppose -2*z + o + 4 = 0. Solve -z*a - 4 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-5)\/(k*k\/k**(-1\/3)*k)*(k**1)**26*(k**(-1)\/k*k*k**(-1\/4)*k)\/(k**(-4\/7)*(k\/k**(-2\/3))\/k) assuming k is positive.\nAnswer: k**(485\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(50) - (-2 + sqrt(200))))**2.\nAnswer: -500*sqrt(2) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 5*x = -h + 27, -h = 3*x + 3. Suppose 3*f = -q + 10, 3*f + 18 = h*f + 3*q. Let p(n) = -6 + 2 - 6*n + 2 + n**f. Calculate p(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14569 is divided by 265.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 55 = -0*a - 2*a, -5*z + 3*a = -55. Solve -2*c - 6 = -4*b + 10, -b + z = -4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9910 or 9896?\nAnswer: 9896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 14 divided by -78574721?\nAnswer: -14\/78574721","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6346 and 152.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6549457 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 91343, 91345, 91347, 91349?\nAnswer: 91351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + 23860829.\nAnswer: 23860826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -203852969*c*t**3 - 507*c*t - 2*t + 18084 wrt t.\nAnswer: -1223117814*c*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 + 4. Let w(n) = -12*n - 9. Let m be w(7). Let k be 8\/28 - m\/(-105). Which is bigger: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 12*h**3 - 12*h**3 - 9*h**4 + (-3*h + 3*h - h**3)*(2*h + h - 4*h) + 8*h**4 + 23*h**4 + 5*h**4.\nAnswer: 28*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -5*o**2 + 31*o. Let b(u) = -u**3 + 94*u**2 + 108*u - 1248. Let h be b(95). Let j(q) = -11*q**2 + 63*q. Determine h*l(f) + 6*j(f).\nAnswer: -f**2 - 25*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 3 + 2*f + 0*f**2 - 4*f**2 + 2*f**2 as c*f + a*f**2 + b and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -26 + 76. Calculate the highest common factor of 20 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-27)\/((-27)\/(-14)) + 23. Let d(f) = -f**3 + 10*f**2 - 4*f - 2. Calculate d(y).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -v = -o - 3, 21*o = 4*o + 15*o + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 39172.068 microseconds to hours.\nAnswer: 0.00001088113","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, -2, -13, 1.\nAnswer: -13, -2, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -n**4\/6 - n**3\/6 + 7*n**2\/6 + n\/6 - 1 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4601 - -4?\nAnswer: -4564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 15096 and 609945.\nAnswer: 82952520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 77831*i**2 - 17*i - 9. Is u(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 33\/(891\/(-126))*-3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1430*n**2 + 182*n**2 + 4*n**3 - 2*n**3.\nAnswer: 2*n**3 - 1248*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 59 = -13. Suppose 0*m + 4*m - 245 = -5*w, w + 4*m - 33 = 0. What is the remainder when w is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - 96f75?\nAnswer: -96f71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*m + 0*m - 3*m + (-12*m + 12 - 12)*(-3 + 2 + 3) + 1 - 1 + 2*m - 3*m - 3*m + 5*m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = -429 - -6433\/15. What is the third biggest value in t, 40, -0.05?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (-5*sqrt(28))**2.\nAnswer: 698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 1126*u**2 + 3*u + 2. Let x = -2 + 0. Let k be y(x). Let c be k*(-3 + 0 + 1). What is c rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**3 + 12*o**2 + 3. Calculate x(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 3 + 2)*(-10*c - 48*c**3 + 10*c - 11*c**3).\nAnswer: 59*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -6*l**3 + 29*l**2 - 37*l + 216. Give d(6).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = i - 6. Let x be q(8). Let t = -421\/2 + 2322\/11. Find the common denominator of t and x - 0 - 74\/36.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 48*y + 20. Let l(r) = 120*r + 50. Let u(k) = 5*l(k) - 12*x(k). What is the tens digit of u(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**3 + 5*p**2 - p - 5. Let n be x(-5). Suppose n*r + 6 = 3*r. Let c(y) = y**2 - y**2 + 6*y**3 - 2*y**r + 1 + y**2. Give c(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fiiiifiiiiifififii. Give prob of sequence ifi.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = 2*t**2 - 12*t. Calculate the lowest common multiple of g(7) and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 14 = -5*r - n, -3*r = -n - 22. Let v be (12\/42)\/(1\/14). Let u = -22 - -37. Solve -d - 5*t = u, -r*t + 3*t - 32 = -v*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*b - 3*b + 5*b)*(14 + 4 + 28)*(3*b + 18*b - 7*b) in the form h*b**2 + n*b + o and give h.\nAnswer: -1288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -3*q - 46. Let n be p(-38). Calculate the greatest common factor of n and 884.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 244350.0000104737 - 244350. What is m rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1789291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 30 - 34. Let x be 4\/(-3)*(-66)\/f. Is 387\/7 - x\/(-77) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 711 and 30.\nAnswer: 7110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 17*b**3*d**2*t**2 - 4*b**3*d*x + b**3*d + 2*b**2*t**2*x - 2*b**2*t**2 + 35*b**2*x + 11*d**2*t**2 + d**2*t*x wrt d.\nAnswer: 34*b**3*t**2 + 22*t**2 + 2*t*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 22, 82775, -8?\nAnswer: 82775","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 122208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 171 divide 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 73770264 is divided by 42.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -621*t + 200*t + 232*t + 151*t.\nAnswer: -38*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 + -1 - -6) + 59 + -62.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*j + 21 - 5*j - 35 + 45 to the form t + y*j and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 3*q**2 + 2*q**2 - q**2)*(3*q**2 - 4*q**2 + 3*q**2).\nAnswer: -4*q**4 - 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 - (-1 + (4 - 11))) + 17 + (22 - -3).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-12*w**2 - 60 + 60)*(-2 + 13 + 12) - 2*w**2 + 5*w**2 - 4*w**2 to the form o*w**2 + j + r*w and give o.\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**3 - 6*f**2 + f + 9. Let w be r(-7). Let a = 90 - w. Calculate the remainder when a is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d - 5*u - 9256 = 0, d - 3*u - 558 - 778 = 0. Does 219 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2619269.7 months to centuries.\nAnswer: 2182.72475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1084547.\nAnswer: 1084547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 6697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.231 - 0.169. Which is the nearest to -3? (a) -0.3 (b) u (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**2 + o**3 - o**2)*(-o + 2*o - 2*o) + 74*o**4 - 38*o**4 - 139*o**4 - o**4 - 4*o**4 + 12*o**4 + (-2*o + 2*o + 2*o**2)*(-4*o**2 + 3*o**2 - o**2).\nAnswer: -101*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 208341 is divided by 57.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is ((-5 - -7)*2)\/(4\/412387) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 196 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 256865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -118 - -82. Let l = 167181.79796 - 167217.8. Let a = y - l. Round a to four decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 28496, 38470, 55096, 78374?\n\"Answer: 3326*n**2 - 4*n + 25174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 8529 and 2612717?\nAnswer: 2843","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let 3*r**2\/2 - 94971*r\/2 - 902766 = 0. What is r?\nAnswer: -19, 31676","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) be the first derivative of -q**4\/4 + 4*q**3\/3 + 6*q**2 + 7*q + 27. What is the units digit of t(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20 + (-55 - (4 + -40)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 4*n - 83. Is (1\/1)\/(1\/n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -776 - -763.5. Let q = u - -11.5. Which is the closest to q? (a) 1 (b) -13 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2694113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 5:02 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 46 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8664467119.\nAnswer: 7, 11, 37, 3041231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 1361 - 163 = 0. List the prime factors of o.\nAnswer: 2, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 175? (a) 6 (b) 0.3 (c) 2\/5 (d) 2 (e) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 101 = -5*k, 2*b + 56 = 3*k - 2*b. Let l(d) = -3*d + 62. Let t be l(k). Solve 3 = t*p - 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (2\/(-45))\/(2\/10). Let h = 4.3 + -4.258. Let w = -0.142 + h. Which is smaller: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 8444898 and 1206414.\nAnswer: 8444898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 177638716?\nAnswer: 2, 439, 101161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 4*d**2 - d - 1. Let i be 8 - 10 - (-6)\/1. Calculate the remainder when t(i) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**2 - 10*k + 13. Let w be l(9). Let q(o) = o**3 - 5*o**2 + 4*o - 6. Let d be q(5). Let s(n) = -14 + d - w*n. Let u(j) = j**2. Give u(s(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 + 4 = -5*w. Let r(p) = -2*p. Calculate the remainder when 29 is divided by r(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20 - 135622*p**3 + 3*p**2 - 3*p**2 - 20 + 135649*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be 26\/4 - 1\/2. Suppose g*w - 827 = 7*w. Let y = 3325\/4 + w. Is y > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 14 or 300\/23?\nAnswer: 300\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, 0 in decreasing order.\nAnswer: 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.27 - 0.07. Let h = 4 + -9. Let n = -5 - h. Which is the third smallest value? (a) n (b) 0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-1057)\/(-604))\/(1\/(-8)) + (21 - 4). Solve 184\/7*w**2 - 4232\/7*w - 2\/7*w**q + 0 = 0.\nAnswer: 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.0222, 4, 0.3, 0.1, 0.2, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 370906\/33 + -11238. Let v be (22\/6)\/(-11)*9. Find the common denominator of n and v + 913\/132 - 3\/(-1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -17? (a) 2\/13 (b) -0.1 (c) -21.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -61.7 + 56.41. Which is the second biggest value? (a) h (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -202201 (base 4) in base 11?\nAnswer: -1729","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 2:07 PM?\nAnswer: 5:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 2 - 1)*(n + 3*n + n) - 13*n + 3*n + 0*n to the form t*n + o and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*w - 8*w + 5*w + 3*w - 56 + 0*w.\nAnswer: 3*w - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*p**2 + 9835*p + 9831*p - 19664*p + 28*p**3.\nAnswer: 28*p**3 + 22*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is 6726 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: Let s be -2*((-237)\/6 - 0\/4). Let u = 209 - s. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 586153231 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10260035 and 11410.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 51\/3136 and -45\/3248.\nAnswer: 90944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 9 - 2)*(-4 - 7 - 6)*(0 + 3 - 4)*(-4 + 5 + 3)*(a**2 - 30 + 30 - a**3).\nAnswer: 544*a**3 - 544*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -m**4\/3 + 6889993*m**3\/3 - 5274677012180*m**2 + 12114276847619364400*m\/3 - 157482924772943848000\/3 = 0. Calculate m.\nAnswer: 13, 2296660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.4*1589364.2\nAnswer: -635745.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (2499 - 20935 + 988 - 4095)*(3*n - n - 4*n + 2*n - 4*n + 3*n - 3*n + n + n + (-n + 0 + 0)*(-3 + 2 + 3))*(-3*n + n + 5*n).\nAnswer: 258516*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**2 + 21*v - 9. Let w be n(14). Let x(g) = -496 + w*g**2 + 496. Let j(u) = -2*u**2. Give x(j(q)).\nAnswer: 356*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*w + 66*w - 3*s = -7, -5*w = -s + 17 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*o - 2*q = 44*o + 56 - 11, 2*o - 70 = 6*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -14*v**2 - 53*v + 24. Let j(a) = -5*a**2 - 20*a + 9. Let z(s) = 4*h(s) - 11*j(s). Suppose -3*t - 3*y = -10 - 20, 2*y - 8 = 0. Determine z(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (q + 7*q - 2*q)*(2*q - 3*q + 3*q)*(q + q - 3*q) to n*q**2 + h*q + f*q**3 + m and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dd when two letters picked without replacement from {e: 1, g: 2, d: 11, c: 1}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(304) - (3 + sqrt(304)))*3*-2*-4)**2.\nAnswer: 5329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-11*i + 1 + 3*i + 5*i)*(-2*i**2 + 2*i**2 - 5*i**3) to r*i**3 + w*i + u*i**4 + d*i**2 + h and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (1 - 10)*8\/(-120). Let c(l) = -l**2 + 6*l + 4. Let g be c(6). Let r be 9\/(g + -1) + -4. Sort 7, r, q in increasing order.\nAnswer: r, q, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29502*q - 60714*q + 31211*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 17, 6, -5, -16, -27, -38?\n\"Answer: -11*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.404845 + 260.\nAnswer: 259.595155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -611957.1 rounded to the nearest one hundred?\nAnswer: -612000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25997703?\nAnswer: 3, 101, 239, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -63\/1560400 and 39\/15040.\nAnswer: 6241600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -504 divided by -168.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.4 in 2, 0, 0.05, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 20 = -78. Let y = 6 - i. Suppose 0 = -5*z - 0*z + y. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 52*z = 58*z + 54 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3051237 to the nearest integer?\nAnswer: 1747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 2*p + 0*p - 6*p**3 - 579 + 579. Let h(n) = -5*n**3 + n. Determine -4*a(q) + 5*h(q).\nAnswer: -q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*k + 151 = -65 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 197*h - 132160 = -202*h - 80*h - 1586*h for h.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**3 + 9*d**2 - 4*d - 15. Let m be x(7). Let r(b) = 3 + m*b**2 - 5*b + 485*b**2 + 7*b + 110*b**2. Is r(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, t: 2, k: 1, v: 2, m: 2}. Give prob of sequence vkn.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -10110101001011100001 (base 2) to base 10.\nAnswer: -742113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6*t**3 + 1 + 10*t + 4*t - 14*t with respect to t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7 + h**3 - 3 - 2 - 1 to the form u + r*h**3 + g*h + x*h**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -233.39*-0.3.\nAnswer: 70.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 6639 = b, 0 = -b - 7 + 6. Let v = s + -769. What is the hundreds digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence apa when three letters picked without replacement from qpqqnqanpqpap.\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -260063 or -260061?\nAnswer: -260061","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 167*h + 0 - 165*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -299688828 divided by -6\nAnswer: 49948138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/12)\/((-4)\/112)*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 665771*l**5 - l - 1931973 wrt l.\nAnswer: 13315420*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = 9 + 1. Suppose 0 = 6*l - 4 + c. What is the common denominator of (l\/56)\/((-12)\/(-16)) and -23\/22?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 221759, 887049, 1995867, 3548213, 5544087?\nAnswer: 7983489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 13) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -58*o**3 - 5*o**2 - 7*o - 12. Let q(t) = -59*t**3 - 4*t**2 - 6*t - 10. Calculate 7*q(h) - 6*w(h).\nAnswer: -65*h**3 + 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1447 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.1 - 0.3. Let u be (-746)\/6 + (-2)\/(-6). Let f = u + 129. Which is the closest to k? (a) 0.1 (b) 1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cuce when four letters picked without replacement from efucefeeeecfc.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y*y**(-3))*y)\/(y*y*y\/y**(-3))*(y**0)**(-2\/65)*((y\/y**2)\/y**(3\/8))**(-3\/13) assuming y is positive.\nAnswer: y**(-175\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/72)\/((-1)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15717864 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pcjddmf. Give prob of sequence pmc.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -31 - 14*o - 8*o - 9*o - 8*o with respect to o.\nAnswer: -39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -13 - -19. Let z = q - 4. Suppose 2*s - 6*s = z*j - 50, -5*j = -3*s + 70. Solve -3*m - s = -8*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-364)\/(-6)*(-15)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 2*(-20)\/(-8) + -16 + 10 - -6. Factor 10\/3*w**4 + 0*w**2 - 2*w**t + 0 + 0*w - 4\/3*w**3.\nAnswer: -2*w**3*(w - 1)*(3*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssshsssssw. What is prob of picking 4 s?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = p**3 + 34*p**2 + 58*p - 41. Let t be b(-32). Let n = -196877647\/1302257 + 6\/118387. Let i = t + n. What is the second biggest value in i, 2, -1\/2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k + 1. Let m(r) = 8*r - 10. Let i(o) = m(o) + 4*u(o). Let n be i(2). Let y be ((-1)\/(n\/8))\/(-2). Solve 3*a + 10 = -y*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 25153\/16768 + -1\/16768. Which is smaller: 180.6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(144)*1 + sqrt(144) + sqrt(144))\/sqrt(6))\/(sqrt(84)\/sqrt(63) + sqrt(12)) - (5 + -2*(sqrt(2) + sqrt(2) + sqrt(8)) + sqrt(4)\/sqrt(2) + -5)**2.\nAnswer: -98 + 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 273563, 273658, 273815, 274034, 274315?\nAnswer: 274658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 372821634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 33100424069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 5, 18*a - 20*a + 1750 = 4*z. What is the greatest common factor of 160 and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11 + (-581)\/(-28) + -10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 980097.2 centuries?\nAnswer: 1176116640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2393916 and 8022.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dly when three letters picked without replacement from {d: 1, i: 1, l: 1, y: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.2 - -3.2. Let h = -2.95 + g. Sort 0, h, 1 in ascending order.\nAnswer: 0, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 274106 = -58*o - 31226. What is the lowest common multiple of 1104 and o?\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 42.6 and -2.\nAnswer: -85.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -3*j + 3. Let m(k) = k - 1. Let w(r) = 6*f(r) + 15*m(r). Calculate w(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100010000100 + -100001100001?\nAnswer: -1000011100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z**3 + 10*z**2 - 10*z + 17. Let l be o(-11). Let t be (-18)\/(-108) + 1223\/l. What is the highest common factor of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 22*r + 21*r + 9*r + (-2 + 3 + 0)*(-5*r + 0*r + 3*r).\nAnswer: 50*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 3, 5.9, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4149 - 1845. Let w = b + -2701.3. Let q = 423 + w. What is q rounded to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 192293 at least 192292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-2)\/n**(4\/9))\/(n**0*n)**(6\/13) assuming n is positive.\nAnswer: n**(-340\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -7584, -5990, -1658, 6780, 20692, 41446, 70410?\n\"Answer: 228*w**3 + w**2 - 5*w - 7808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1548.33 - 1454.8. Let m = 93 - d. Round m to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + 0 - (-4 + -6 - -8 - 7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -738929487*m**2 - 210934048?\nAnswer: -1477858974*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 5*p**3 + p - 1. Let v be s(1). Suppose v + 32 = 2*t + 3*d, 3*t - 3*d = 18. Let y = 29 + t. Round y to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 2 b, and 1 u when four letters picked without replacement from {j: 1, s: 3, a: 1, b: 6, u: 3, f: 4}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Total of 813 and -184132.\nAnswer: -183319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -24 + 88\/5*o - 2\/5*o**3 - 2*o**2.\nAnswer: -2*(o - 3)*(o - 2)*(o + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the second derivative of 0*k**3 + 0*k**2 + 1\/6*k**4 + 0*k**7 + 0 + 0*k**5 + 3*k - 3\/56*k**8 + 0*k**6. Find the third derivative of n(h) wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -2*i. Let r = 45 - 43. Let j(z) = -z**3 - 4*z**2 - 3*z + 3. Let o be j(-3). Let h(f) = 0*f**r + o*f**2 + f**2. Determine x(h(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 84165?\nAnswer: 3, 5, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-2)*1\/4*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 5*o + 35 = 0, -4*o + 10 = s - 3. Suppose -4*m + 3*p + 120009 = 0, -2*p - 16865 - 133141 = -s*m. What is m rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -2*p**3 + p**2 + 18*p + 20. What is m(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 1.6, 636, 2, 4, 8?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the first derivative of -1\/2*a**2 + 0*a + 0*a**5 + 0*a**4 - 2 + 0*a**3 + 1\/6*a**6. Find the second derivative of h(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = -8*i**3 - i**2 - 2*i - 1. Let w be r(-1). Suppose 3*h - 5*g - 32 = 0, 0 = h - g - 0*g - w. Calculate the remainder when h is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -26\/7*f + 4 - 2\/7*f**2 = 0 for f.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lxrrxax. What is prob of sequence xaxr?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -3, 7, -332, 2 in decreasing order.\nAnswer: 8, 7, 2, -3, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - 0 - (-85)\/(-20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 22*j + 174. Let i(g) = -323*g - 1. Determine i(l(f)).\nAnswer: -7106*f - 56203","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 359 + 79. Let c = y + -363. What is the least common multiple of 12 and c?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 40 and 56640.\nAnswer: 56640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2993 or -2987?\nAnswer: -2993","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11195, 11651, 12107, 12563, 13019, 13475?\nAnswer: 13931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5299252169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 10b997 (base 15) in base 6?\nAnswer: 25041311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the third derivative of q**7\/105 - 11*q**6\/40 + 107*q**5\/60 + 37*q**4\/4 + 40*q**3\/3 - 25*q**2 - 63*q. Suppose g(l) = 0. What is l?\nAnswer: -1, -1\/2, 8, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-8)*8\/(-14). Sort -3\/4, g, 5 in decreasing order.\nAnswer: 5, g, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19889526?\nAnswer: 2, 3, 23, 101, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10072 = 2*q - 3*v, 2*q = -2*v - 3*v + 10088. Let p = -45419\/9 + q. Find the common denominator of 121\/102 and p.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.113217 + 0.054068. What is s rounded to three decimal places?\nAnswer: 0.167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 3405, 3414, 3431, 3456, 3489, 3530, 3579?\n\"Answer: 4*k**2 - 3*k + 3404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -970182062 to the nearest 1000000.\nAnswer: -970000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 2 - 4)*(-2*k + 3*k + 0*k) - 12*k - 38*k + 24*k.\nAnswer: -27*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3291900\/13 at most as big as 253222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of -w**5\/20 + w**4\/3 - w**2 + w. Let s be o(4). Let d(c) = -27 + 13 + 15 + 5*c. Give d(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 3*u + 72003 = 0, -6*a - 4*u - 359960 = -a. Let w = -41547622751\/42 - -989157129. Let p = a - w. Calculate the common denominator of p and 125\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 95 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = 33 + -18. Suppose 8*h - 5*h = r. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = 2*g - 2*g**2 + 2*g - g**2 - 10*g. Let u(s) = 2*s**2 + 5*s. Give -5*d(k) - 6*u(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.66 - 9.06. Let u = s + 7.9. Let n = 27 - 82\/3. Which is the smallest value? (a) n (b) -5\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 11\/(-3)*(-21)\/7. Calculate the remainder when (g - 2)\/(2 + 98\/(-52)) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 - 6 + (1 - 5 + 3)*(4 - 3 + 0))*(-6*g**3 + 15*g**3 + 4*g**3).\nAnswer: -130*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 96816 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*g - 52*g + 435 + 623 = 79 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -161 + 1129\/7. Let g = -196 + 196.3. Put b, 0, -0.2, g in descending order.\nAnswer: g, b, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6.03 and 0.287.\nAnswer: -1.73061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the third derivative of y**5\/60 + 13*y**3\/6 - 4*y**2. Let x be d(0). What is the greatest common divisor of 26 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is n in -2*n**2 + 1311048*n + 2622104 = 0?\nAnswer: -2, 655526","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -629 + 3031*u - 1174*u - 1228*u + 3256*u**2. Let c(j) = 31*j**2 + 6*j - 6. What is 629*c(d) - 6*x(d)?\nAnswer: -37*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-125)\/10*2\/(-5). Suppose -4*u = z*m - 505, 0*m - 4*m = 5*u - 620. Calculate the highest common factor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 147752041 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -4, -1, -5, 4, -39, 15\/16 in increasing order.\nAnswer: -39, -5, -4, -1, 15\/16, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 20031 and 108?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (0*m - 4*m + 2*m)*(102 + 10 - 128 - 49817*m**3 + 16) in the form p*m**3 + r + t*m**4 + n*m**2 + g*m and give t.\nAnswer: 99634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -399*o - 806. Determine l(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(325)*-1*1)**2.\nAnswer: 40*sqrt(13) + 341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 263 - 166. Suppose -3*g = -4*z + b, 2*z = -2*z + 4*g + 92. Solve -5*h = -2*a + z, -4*a + 3*a + h = -8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1076618?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 87*u - 4 - 5*u**3 - 89*u + 4*u**3 to the form n*u**3 + p*u + k*u**2 + t and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Subtract 2283.2 from 3.\nAnswer: -2280.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1635263\/18 + 91137. Let f = d - 2810\/9. What is the common denominator of f and (-118)\/32 - -1*2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of -p**3\/6 - p**2\/2 - 37*p - 10. Let k(v) be the first derivative of y(v). Let m(a) = 8*a + 12. Calculate 10*k(r) + m(r).\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyl when three letters picked without replacement from ymmyymyaal?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1939 and 25761?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f - 5. Let g be q(7). Suppose 52 = j + g*t, 2*t - 49 = -j - t. Calculate the remainder when j is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -12 + 12 - r + (0 - 1 + 3)*(95 - 95 + 16*r) - 1 + 1 - 3*r as a*r + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 3 + 3*l - l + 5. Suppose -3*b + 134 = 143. Let j be s(b). Solve 3*m = 7 + j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/64 of a meter in micrometers?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = -3*b + 23 + 30, -5*b = 3*d - 67. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 183*g + 14 = 180*g - 4*f, -4*g - 28 = -4*f for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 - 4*x**2 + 7*x. Let l be z(-5). Let n = 11 + l. Suppose 0 = -2*s + 5*s - 3. What is the greatest common divisor of n and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1491988*w - 52791229.\nAnswer: -1491988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -3*h, 2*h = 49*m - 44*m - 128 for m.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 748 and 792?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -414241*b**2 - 940711 wrt b.\nAnswer: -828482*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 158.1 - 158. Is -1 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -464367192 divided by 58045899\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide 1677244 by 44138.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -15 + 13. Let z(y) = 26*y**2 + y + 1. Is z(g) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10681 - 10645. Let j = 4 + 92. What is the greatest common factor of j and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 50*t**3 + 2*t**2 - 46*t + 5. Determine c(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (-109 - -101 - (1 + 2) - 10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = -18267197 - -7707197. Round i to the nearest one hundred thousand.\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r, 1 h, and 1 c when three letters picked without replacement from {i: 3, h: 4, c: 3, r: 3, u: 4}?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3166238*i**3 + 5796*i**2 - 5796*i**2.\nAnswer: 3166238*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -79, 2, 1, -4, -3 in ascending order.\nAnswer: -79, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 52 divide ((-448)\/10)\/(3*6\/(-585))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes before 9:29 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (7 - 6 - 4)*(u + 2*u - 2*u) - 4 - 3*u + 4 to z + b*u and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 260 - -471. Let t = 2212 - 2195. Calculate the highest common divisor of t and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -218 + 263. Calculate the remainder when 269 is divided by n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 86145 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: Let x = -5.01 + -3.99. What is the second biggest value in -2, 3\/4, x, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 124 - 46 - 35 - 56*m**2 - 43.\nAnswer: -56*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r\/r**2)**(2\/47))**24 assuming r is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 277 = 266 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of 0*y**3 + 6*y + 0*y**2 + 0*y**5 - 3 + 1\/60*y**6 - 1\/24*y**4. Let k(u) be the first derivative of w(u). What is i in k(i) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 37 divide 11828086?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 124847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**3 - o**2. Let y = -175 - -176. Let g(f) = 9*f**3 - 5*f**3 - f + y + 5*f**2 - 3*f**2 + f**2. Suppose 16 = 6*m + 52. Determine m*u(c) - 2*g(c).\nAnswer: -2*c**3 + 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/((c*(c\/(c\/(((c*c\/(c*c**(-1)))\/c*c)\/c)))\/c)\/c)*c**(-5)*((c\/(c\/((c\/(c\/(c\/c**0)))\/c)))\/c)**(9\/7))**(1\/7) assuming c is positive.\nAnswer: c**(-37\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2139 + 3240. Is z a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -144 = -5*d - 39. Solve 48 = d*w + 3*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 96*o**2. Let h be 10\/(424\/(-265) + (-171)\/(-60)). Let x(g) = -32*g**2. Determine h*x(q) + 3*b(q).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of 5*k**4\/2 + k**3\/3 - k**2\/2 + k + 48. Determine q(1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ck when two letters picked without replacement from krckrckrcrcrckr.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = k - a, 21 = 5*k + a + 3*a. Let y(i) = i**3 + i**2 - i. Let j(u) be the first derivative of -u**4\/2 - u**3 + u**2 - 3. Give k*j(w) + 3*y(w).\nAnswer: w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -0.6 (b) 13 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 559 minutes after 4:49 PM?\nAnswer: 2:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2101010000 + -210?\nAnswer: 2101002020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = -9 + 10. What is the closest to i in -2\/5, -4, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = 6*g**3 + 2*g**2 - 4*g - 1. Let m(z) = 2*z**3 + 1. Calculate -4*m(q) + n(q).\nAnswer: -2*q**3 + 2*q**2 - 4*q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -101, -7088, -18733, -35036, -55997, -81616?\n\"Answer: -2329*u**2 + 2228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9 + -3. Suppose 4*b - 33 = -f, -f + 30 = 3*b - r. Suppose 5*x - 37 = 8. What is the highest common divisor of f and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -8 + 6 + 2 - 7*g**4 + 7*g**2 wrt g?\nAnswer: -168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -3*d - 12 + 63, -m + 35 = 3*d. Let i(p) = -2*p**3 - p**2 + 19*p**3 - p + 0*p**2. Let u be i(2). Calculate the greatest common factor of d and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 94418, 94421, 94426, 94433, 94442, 94453?\n\"Answer: c**2 + 94417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -64\/3 + 68\/3. Let l = -2 - -3. Which is bigger: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 81*s + 190. Let r be k(-2). Which is bigger: 0.04 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-1 + -175) - (-1159220)\/236016.\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 623 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -2059*p**3 - 4*p**2 + 4*p + 24. Let k(t) = 11680706*t**3 + 22693*t**2 - 22693*t - 136158. What is -4*k(y) - 22693*x(y)?\nAnswer: 2063*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -3086*m + 129609. Determine k(42).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -9876512786+276\nAnswer: -9876512510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -8*u + u**2 + 5 + 21*u - 2*u**2. Let q(b) = -453*b + 5*b**2 + 433*b - 8 - 3*b**2. Let l(r) = 5*q(r) + 8*w(r). Let l(p) = 0. What is p?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -8\/135 and 13\/15?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s**2 - 2*s**2 + 0*s**2)*(0 - 4 + 2)*(485*s**3 - 390*s**3 + 272*s**3).\nAnswer: -734*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -24320.1 to the nearest one hundred.\nAnswer: -24300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -4779*b + 100423 + 338652 = 8965 for b.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -633 + 1164. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 89*c - 9*c - 82*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.12 + -35.12. Let x = -11 - -11.1. Which is greater: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-40*s - 9*s**2 + 574 - 293 - 280)*(-3 + 3 + 1)*(-2*s + s + 3*s) in the form i*s + b*s**2 + m + k*s**3 and give b.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 7565775 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-6)\/10)\/((-1233)\/(-6850)))\/(30\/(-531)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 9 - 3)*(-q + q + 2*q**4) + 337*q - 2*q**4 + 338*q - 77*q**3 - 681*q to u*q + k*q**2 + f*q**3 + i + b*q**4 and give u.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 6*i + 7. Let w(f) = 4*f + 3. Let y(l) = 3*n(l) - 5*w(l). Let m(r) = 5*r + 1. Let z be m(1). What is y(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 10*x. Let k be d(1). Let r = -15 + k. Let z(a) be the first derivative of a**3\/3 + 7*a**2\/2 + 1. Determine z(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 7) in base 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6813 + 10080. List the prime factors of a.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 2*z - 0*z - 23, 3*z - 7 = w. Let x(b) = z*b + 0*b - b + b. Let m(j) = j**2. Determine m(x(s)).\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9694443 or 9694440?\nAnswer: 9694440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 4*z = -j, 5*z = -25. Suppose 3*f - u = -11, 6 + 7 = -4*f + 3*u. Which is the third biggest value? (a) -2 (b) j (c) f (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -3*t - 3. Let p be o(-1). Solve 5*q + 5 = p, 3*h - q - 6 = -20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*s - 3*s + 6*s)*(-s - 2*s + s) + 170 + 44*s**2 - 170 in the form n + o*s + k*s**2 and give k.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + ((sqrt(68) + -1*sqrt(68))*-3 - (-4 + (-2*sqrt(68) - sqrt(68)) + sqrt(68)) - (-4 + -4*(0 + sqrt(68))))**2)*1.\nAnswer: 192*sqrt(17) + 2508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that -5*c**3 + 215*c**2 - 1290*c + 1080 = 0.\nAnswer: 1, 6, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w = 93 + -147. Let x = w - -82. What is the greatest common factor of 56 and x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 times 1193989\nAnswer: 2387978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3783.1 + 3779.1. Put -1\/13, r, -7.03 in decreasing order.\nAnswer: -1\/13, r, -7.03","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z**2 + 10*z**2 - 4*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0.09, -1, -14, -0.03, 0 in ascending order.\nAnswer: -14, -1, -0.03, 0, 0.09, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5939 + 3039. What is k rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 14*u**3 - 56*u**2 - u + 2. Let t(x) = -21*x**3 + 89*x**2 + x - 3. Give -8*b(w) - 5*t(w).\nAnswer: -7*w**3 + 3*w**2 + 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Divide -109318719 by -1317093.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 865 and 1545409?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6969581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = 101 - 243. Let o = 141.99999921 + f. Round o to seven decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s + 3 - 23. Calculate the remainder when s is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppd when three letters picked without replacement from dlppddppppdplpllppp.\nAnswer: 220\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w = -g - 6, -4021*w + 4013*w - 5*g = -6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express 149*i**2 - 2 - 18*i - 6*i + 5*i as h*i**2 + p*i + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 2 + 3*d + (-7*d + d + 2*d)*(0 - 2 + 0).\nAnswer: 11*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.7 + -0.795. Round a to 2 dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -8071 * 4.\nAnswer: -32284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes before 3:53 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2*b - 3. Calculate q(9).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -5*m**2 + 3*m - 2. Let p be x(-3). Let s be (-12)\/32 - 301\/p. Solve 0 = -3*v + 6*v - 2*c - 21, 0 = 3*v + s*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 89*d**3 + 24*d**2 + 30*d + 33. Let y be w(-15). Let s = -121985 - -177377. Let r = y + s. What is r rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h, 1 r, and 1 d when three letters picked without replacement from rrkkfrcrrrkkkhrrddrr.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1062?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 165 = -5*v. Let n be (-6)\/v + ((-4)\/22 - -1). What is the remainder when 23 is divided by 128\/10 + ((-2)\/(-10))\/n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the second derivative of -w**5\/20 - w**4\/4 - 2*w**3\/3 - w**2\/2 + w. Let n be o(-3). Let s = n - -5. What is the highest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, -1\/2, -37676, -3?\nAnswer: -37676","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1070 and 5770?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -194*c**2*h**3 + c**2 - h**3 - h**2 - 5 with respect to h.\nAnswer: -582*c**2*h**2 - 3*h**2 - 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of -k**4\/4 - 303*k**3\/2 + 1842*k**2 - 385*k + 7. Factor f(j).\nAnswer: -3*(j - 4)*(j + 307)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -11*q**3 - 2*q**2 + q. Let r be k(1). Let w(c) = c**3 - 14*c**2 + 11*c + 10. Let j be w(13). Let n = r - j. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 68993, 138226, 207449, 276656, 345841, 414998, 484121, 553204?\n\"Answer: -i**3 + i**2 + 69237*i - 244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the first derivative of 4\/5*j**5 + 14 - 2*j**4 + 12*j + 4*j**2 - 16\/3*j**3. Factor t(l).\nAnswer: 4*(l - 3)*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = -t + 5. Suppose -2*b - 11 = -3*g, b - 2*g + g + 3 = 0. Let s be i(b). Let p(m) = m**3 + 21*m - 11*m - 14*m - s - 6*m**2. Determine p(6).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 2, -1, 0 in descending order.\nAnswer: 3, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 28*j - 47. Determine t(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - p + 3)*(-2*p**2 + p**2 - p**2) + 29*p - 99*p + 16*p**3 + 58*p.\nAnswer: 18*p**3 - 12*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m + 3*m - 3*j = 197, -5*m + 985 = -3*j. Let l = m - 197. Sort -3, l, -14 in decreasing order.\nAnswer: l, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1851, -3643, -5423, -7191, -8947?\nAnswer: -10691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -111*s**2. Let r(t) be the first derivative of 5*t**2\/2 + 2028. What is u(r(v))?\nAnswer: -2775*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 10417548 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 2, j: 4, t: 1, c: 1, b: 1}. Give prob of picking 1 j and 1 c.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a - 500*b = -497*b - 39, 0 = -3*a + 4*b - 24 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) be the third derivative of c**5\/270 + 505*c**4\/108 - 506*c**3\/27 - 2921*c**2. Find u such that p(u) = 0.\nAnswer: -506, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-5 + -1 + sqrt(704))*2 + -4*(-2*sqrt(704) + 3 - (sqrt(704) + -3 + -1 + sqrt(704))))**2.\nAnswer: -22528*sqrt(11) + 344832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-36)\/(-20))\/((-3)\/((-7)\/((-28)\/(-12))))?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -34 - i**2 + 0*i**2 - i**2 to m*i + b + z*i**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = j**2 - 3*j - 4. Let z(x) = -5*x. Let p be z(-1). Let a be i(p). Let d(w) = w - 5. Give d(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 390 and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3957*z**4 - 255*z**3 + 5*z**2 - 19*z - 790 wrt z?\nAnswer: -94968*z - 1530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 6716*k**3 + 211*k**3 + 6730*k**2 - 2588*k**3 wrt k.\nAnswer: 26034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 586522 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let p = -6 + 8. Suppose -2*v - v + 3*u = 0, -p*u + 4 = -v. Is 5\/((-30)\/v)*-3 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c - 6*c + 2*c)*(1 + 6*c**3 - 144*c + 144*c).\nAnswer: -12*c**4 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -612*m**3*r**2 - 6*m**3 - 5*m**2*r - 2*m*r**2 - m*r - 13*m + 326*r**2 + r wrt r.\nAnswer: -1224*m**3 - 4*m + 652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y be 66\/((-3)\/15 + (-44)\/(-20)). Suppose -31*h + h - 54 + 6*h - y*h - 3*h**2 = 0. Calculate h.\nAnswer: -18, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1 + 8. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 22969 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 36426 = -3*v + 5*b + 36433, v - 4*b = 14 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -14*f + 19*f - v + 13, 0 = 5*f - 3*v + 19 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than or equal to 7\/156742?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) be the third derivative of -25*f**4\/24 - 11*f**3\/2 - 37*f**2 - 2. Let d be j(-2). Sort -4, -3, d in descending order.\nAnswer: d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/15, 1, -8.8, -2 in descending order.\nAnswer: 1, 2\/15, -2, -8.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 101173 - 57446. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 108071 and 13376609.\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) be the second derivative of -f**3\/6 + f**2 + 239*f. Let d(s) = -s + 2. Calculate -4*a(u) + 3*d(u).\nAnswer: u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 95 - (-15 - (-5 - (-1 + 0 + 8)))\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 65249?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the third derivative of g**6\/90 + 7*g**5\/90 + g**4\/18 - g**3\/3 - 20*g**2. Solve w(d) = 0 for d.\nAnswer: -3, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*z = 3*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*i + 4*l + 37, 3*i - 24 = 3*l + 9. Suppose 5*d = -4*v + 17 + i, 2*v = 3*d - 10. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t and 1 n when four letters picked without replacement from cnnntntnccttn.\nAnswer: 24\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1881\/24453)\/(4\/26).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*(v**(1\/6)\/v)\/v)\/v*v)**(-14\/13)\/((v\/(v*v\/(v*v*v**(1\/2))))\/v**0) assuming v is positive.\nAnswer: v**(-47\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 100 - 1002?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -205*s**2 - 9223*s - 3. Determine j(-45).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = -677*n**2 - 5. Let w(y) = -3*y + 3. What is o(w(h))?\nAnswer: -6093*h**2 + 12186*h - 6098","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4531674149?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 2*f + 13. Let v(z) = 3*z + 14. Let l(q) = 4*i(q) - 3*v(q). Let b be l(15). What are the prime factors of b + 7 - 0\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*d**4 + 1826574*d**2 - 3*d - 14180682 wrt d.\nAnswer: 36*d**2 + 3653148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 36 + -32. Suppose 2*p + 504 = 4*x - 238, 0 = i*p + 20. What are the prime factors of x?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*o**3 - 36*o**3 - o**3 - 3*o**3.\nAnswer: -33*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 731621920.\nAnswer: 2, 5, 383, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 8*c - 340 = -5*q, 2*q + 3*c = 116. Suppose -b + v = -5*b + q, -2*v - 22 = -2*b. What is the highest common factor of b and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -67.53616 rounded to 2 decimal places?\nAnswer: -67.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -42 + -0.13?\nAnswer: -42.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/21 (b) 59 (c) 0.5 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 77 and 269379?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 20\/2*((-583)\/(-14575))\/((-69)\/(-30))\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (12\/(-9))\/(2\/6). Let m(d) = 1. Let t(l) = 2*l**2 + 4*l - 2. Let j(o) = -2*m(o) + t(o). Determine j(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 229\/5 or 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of -w**8\/28 + 2*w**7\/21 + w**6\/6 - w**5\/3 - w**4\/3 - 4*w**2 + 9*w. Solve r(t) = 0 for t.\nAnswer: -1, -1\/3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -2 (c) -5\/6 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 20 = -4*w. Let l be (15\/w)\/((-6)\/(-16)). Let k be (-10)\/l + 12\/(-8). Are -1\/7 and k non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u*u*u\/(u**(-5)\/u)*u))**(2\/3)*u*u**(-2\/25)\/u*u*u*u**17*u assuming u is positive.\nAnswer: u**(348\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.04? (a) 0 (b) -0.081 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -9*c + 23. Let b(a) = 10*a - 7. Let y(n) = -11*n + 6. Let k(i) = 6*b(i) + 5*y(i). Calculate -5*k(p) - 3*v(p).\nAnswer: 2*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 r when three letters picked without replacement from rrrkrrkr?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -215 - 245 = -5*c. Suppose -3*x + 5*z = -0*z - 163, -2*x - 5*z + c = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 159, 209, 259, 309?\n\"Answer: 50*i + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 - 9 - -8 - 13.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9 - 72*f**3 - 22 + 13 + 74*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 15, 141, 4, -3, -6 in descending order.\nAnswer: 141, 15, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 3 + 2*j)*(6*j - 3*j - 2*j) + 86 - 90*j**2 - 296*j**2 - 86 to f + l*j**2 + d*j and give l.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = 34*z**2 + 132*z + 269. What is j(-2)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-13 - -2) + -157 + 159.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -527*h**3*p - 15*h**3 + 5*h**2*p + 1025*h**2 + 2*h*p + 2*p wrt h?\nAnswer: -3162*p - 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18 and 423.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply 182.295485 and 4.\nAnswer: 729.18194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 1077448 (base 9) to base 10.\nAnswer: 582839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2079*o = -1825*o - 24130. Suppose -2*z - t + 46 = 0, 3*t - 7*t = -3*z + 91. What is the remainder when o is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 60 + 12. Let n = v + -45. Let s be (8\/3)\/(3\/n). What is the highest common factor of s and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -8 - 9 - k + 2*k - 3*k. What are the prime factors of j(-14)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 854e (base 15) to base 2\nAnswer: 110111000100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 37, 103, 209, 349, 517, 707?\n\"Answer: -n**3 + 26*n**2 - 5*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(96)*3 + sqrt(30)\/sqrt(5)*-3)\/(((sqrt(135) + sqrt(15))\/sqrt(5) - sqrt(18)\/(sqrt(6)*-2))*-4).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 d when three letters picked without replacement from {o: 6, d: 13}.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - -3) + -6 + 18 + -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + 4654?\nAnswer: 4658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1213335 and 173460.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -3*p**2 - 639*p - 5731. What is v(-204)?\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 272 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: What is next in -537, -487, -449, -429, -433?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 23? (a) 0.1 (b) -83 (c) -88.87 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, w: 1, p: 1, o: 1, x: 3}. What is prob of sequence wx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -67779, -67889, -68157, -68655, -69455, -70629, -72249, -74387?\nAnswer: -77115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + t + 13 = 0, 0*q + t = 5*q - 49. What is the tens digit of (-6)\/2*(-3 - 267\/q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*s**3 + 15*s**2 + 0*s**2 + 2 + s**2 + 691*s + 6*s**3.\nAnswer: 2*s**3 + 16*s**2 + 691*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(19) + (-1 + sqrt(1900) + sqrt(1900))**2)*-2.\nAnswer: -60808 + 312*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4182\/24)\/(-41)*4?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 100011 (base 2) to base 3\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + 9 - 47. Suppose 3*c + 2*h - q = 0, 2*c + h + 3*h - 18 = 0. Solve -5*f = c*r, -3*f - 2*f - 5 = 4*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (7*19)\/(4 + (0 - 3)).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.0050890476 + 24.0050913476. Let f = 24.046 + -0.046. Let x = f - q. Round x to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1510721, 3021442, 4532163, 6042884, 7553605?\nAnswer: 9064326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14245, 28420, 42527, 56566?\nAnswer: 70537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1608 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 10*u + 9*u**3 - 15*u**2 + 3*u**3 - 22*u**3 + 15*u**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:46 AM and 6:56 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1832*d**2*v**3 - 2*d**2*v**2 + 3*d*v**3 + 6108*d*v**2 + 2*v**3 wrt v.\nAnswer: 10992*d**2 + 18*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 5*t**3 - 135*t**2 + 251*t - 1. Give z(25).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 18 = -2*s. Let n be s - (-16)\/(2 - 6). Suppose -n*t + 6 - 21 = 0. Round t to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.215 - -3.3. Let t = 0.08499957 - g. Round t to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 811 divided by 611\nAnswer: 811\/611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.14 - -0.86. Let t = -9 - -5. What is the nearest to t in 0.4, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2340001203 (base 5) in base 2?\nAnswer: -10100100100000111010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 120 and 62685.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 3022?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -116 + 218. Let k(u) = 5*u + 203. Let y be k(-27). Calculate the greatest common divisor of r and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -854\/9 less than or equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 42523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/(-2))\/(-17*26\/(-663)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put together -13.29061394 and 0.\nAnswer: -13.29061394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -354, -706, -1048, -1374, -1678, -1954, -2196, -2398?\n\"Answer: a**3 - a**2 - 356*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50*m = 47*m - 101*m + 92. Solve 150 = -2*f - m*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b + 47 + 156 = 0. Let w(k) = -k**3 + 261. Let i be w(0). Calculate the highest common factor of b and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3\/(-18) + 625\/390. Let w = c + -4\/39. Determine d, given that -2\/3*d**2 + w*d - 2\/3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -29076172 plus 1?\nAnswer: -29076171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cqjhcqqhj. Give prob of sequence hhjc.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 1356, 1, 0.5, -1689.\nAnswer: -1689, 0.5, 1, 1356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 134410228 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 34.922 + 0.078. Let o = 34.9 - p. Is o <= -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21204 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 298 (b) 64 (c) 293\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 762 - 100308?\nAnswer: -88436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -197\/390 and -53\/546.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -149 - -148.662. Let a = l - -0.048. Let y = 0.295 + a. What is y rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 125307776 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, b: 1, s: 2, z: 3}. Give prob of picking 3 z and 1 s.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is ed - -190?\nAnswer: 28d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 2420853141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 36\/337 and 39\/83.\nAnswer: 27971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -14\/39 + 1\/39. Let s = 54 + -43.5. Let v = 10 - s. Which is the biggest value? (a) 0.3 (b) d (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - q = -12 + 145, 5*v - 215 = -5*q. What is the greatest common factor of v and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/12 + (-34)\/4)\/(-31 - -25)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 5935655 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 1 + 3 - 1 + 2 - 4 - 1 + 4 + (-2 + 1 + 0)*(4 - 2 - 3))*(-c - 1 + 1).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: (-44)\/2530*505\/(-707)\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -2*o + 8. Let h be a(7). What is the units digit of (-21)\/h*(-30)\/(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = 1258*l**2 + 28*l + 19. Let s(m) = -419*m**2 - 9*m - 6. Give -19*s(d) - 6*y(d).\nAnswer: 413*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of r**3 + 182877*r**2 - 3*r + 605034 wrt r?\nAnswer: 3*r**2 + 365754*r - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*h + 104 = 37*h. Suppose 4*n - 6*n = m + h, 4*n + 5*m - 4 = 0. Put 1, -16, -5, n in descending order.\nAnswer: 1, n, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -217645 (base 9) to base 8.\nAnswer: -376361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 24*c. Let k be w(-1). Let n = k - -88. Suppose 60*v = 56*v + 64. Calculate the highest common factor of v and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence grgr when four letters picked without replacement from grgrrrrrrrrrrrgrrr.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 5596, 22410, 50428, 89650, 140076, 201706, 274540?\n\"Answer: 5602*d**2 + 8*d - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.08521 and -0.2.\nAnswer: -0.11479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -134*r**3 - 2*r**2 + 3*r - 1. Give t(1).\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 105293 * -0.06\nAnswer: -6317.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -48150 divided by -95?\nAnswer: 9630\/19","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 95017 or 94906?\nAnswer: 94906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, p: 1, z: 2, e: 2, b: 1, d: 1}. Give prob of sequence ex.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -133024131 (base 5) in base 8?\nAnswer: -2443602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*q = s + 9, -s - 3*s - 5*q = 24 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 5*u**3 - 2*u**2 + 1. What is the least common multiple of (-2 + 6\/15)\/(8\/(-20)) and q(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1 (c) 0 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -2 + sqrt(5) + -2 - ((sqrt(5) + sqrt(20)\/sqrt(4))*-6 + (sqrt(20) + sqrt(60)\/sqrt(3) - sqrt(20) - sqrt(20) - sqrt(20))\/sqrt(4)).\nAnswer: -1 + 14*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10101011001010001110000101010 + -1?\nAnswer: -10101011001010001110000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/126 and -12\/749?\nAnswer: 13482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 28, -3, -5, 4, 3012, -4 in ascending order.\nAnswer: -5, -4, -3, 4, 28, 3012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -b68255 - 149?\nAnswer: -b683a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 12425 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 16302147761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -181, -153, -101, -13, 123, 319, 587, 939?\n\"Answer: 2*j**3 + 14*j - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 266039233 to the power of 1\/2, to the nearest integer?\nAnswer: 16311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -696903 plus -31.8334015?\nAnswer: -696934.8334015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l + 5*l - 1338*l**2 - 1673*l**2.\nAnswer: -3011*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-78)\/(-16) + 8\/(-32) and 11\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one quarters of a litre in millilitres?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*s - 21 = -31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - -15540?\nAnswer: 15538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be 14\/(-286) + (-207)\/(-897). Which is the biggest value? (a) 1\/3 (b) -29 (c) p (d) -5 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n - m = 3*m - 28, -17 = 2*n - 5*m. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1288 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.01, 46, -0.5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 18 and 20742?\nAnswer: 62226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 202455377?\nAnswer: 11071, 18287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2.64 - -1. What is w rounded to one dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 718 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2649*n + 2552*n - 97. Let q = -5.4 + 0.4. Which is the nearest to n? (a) 0.4 (b) 0.6 (c) q (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 10731 + 14*p + 10383 - 20772 + 2*p**3 - 2*p**2 as c*p**2 + y*p**3 + k*p + r and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -l - f - 2 = 0, 63 = -2*f + 53 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times -1412684?\nAnswer: -5650736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the first derivative of -d**3\/3 + 16*d**2 - 256*d + 84. Factor r(m).\nAnswer: -(m - 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 1694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 41 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2377*n**2 + 188*n + 1.\nAnswer: 4754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 605 and 6?\nAnswer: 3630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pppppirprwrrippiiprf. What is prob of picking 3 r?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -33\/28 and -17\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -0.1 (b) -0.23 (c) -40 (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.1, 2\/3, 0.033?\nAnswer: 0.033","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2076, 8306, 18692, 33234, 51932, 74786?\nAnswer: 101796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express s - 8*s + 8*s + 2 - 2*s**4 - 2*s**2 + 0*s**2 as g*s**4 + c*s**2 + x*s**3 + z*s + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 15965444563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 24832 and 18042.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of -2533*z**6\/120 + z**5\/20 + 23*z**4\/4 - z**2 - 1641. What is the third derivative of f(s) wrt s?\nAnswer: -15198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37720439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p**2 + 3*p - 2. Let k(d) = d + 4. Let x be k(-5). Let m be 1\/1*(-2)\/x. Calculate the smallest common multiple of g(m) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1695 a factor of 64228635?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in 5, 12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) be the second derivative of o**5\/20 - 2*o**4\/3 - 2*o**3 + 16*o**2 - 23*o - 1. Let g be x(9). Solve g = -6*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 + 8*l**2 - 10*l - 12. Let d be x(-9). Let j be (-1 - 2\/(-4))*0. Suppose j = -u - 1. Sort d, 1, u in decreasing order.\nAnswer: 1, u, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = l - 5, -l = 3*k + 103 - 104. Solve -8 = -4*p - n, -5*p + p = -2*n + l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r such that 27\/2*r - 1\/4*r**2 - 729\/4 = 0.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 4*m + 62 = 0, -112 = -4*z + 2*z + 2*m. Let k be (-8 - -5) + z\/16. Suppose -1 + 6 = 5*f. Which is greater: f or k?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) be the first derivative of 3*z**5\/20 + z**4\/4 - z**3 - 5*z + 2. Let b(g) be the first derivative of p(g). Factor b(m).\nAnswer: 3*m*(m - 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6 - -8. Suppose 3*w = o*d - 116, w = 3*d + 6*w - 193. Let f(r) = -r**3 + 5*r**2 + r + 1. Calculate the remainder when d is divided by f(4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1\/2 or 0.1494?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/5*(-64720)\/(-9708)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000038271914 rounded to 6 decimal places?\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 18 - 14. Suppose 0 = k*u - 8*u. Let q = 1.04 + -1. Which is greater: q or u?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 218264 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fbmt when four letters picked without replacement from {f: 10, t: 3, s: 1, b: 1, m: 4}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f - 2984092*z = -2984097*z + 15, -32*z = -3*f - 96 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**0*g)**(27\/7)\/((g\/g**(2\/3))\/g*g\/(g*g**(3\/4)*g)*g) assuming g is positive.\nAnswer: g**(443\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2354 and 6.\nAnswer: 7062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7242.\nAnswer: 2, 3, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, i: 3, y: 5, k: 5, z: 1, w: 5}. Give prob of sequence kyqi.\nAnswer: 5\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*4\/4*24\/(-765)*580\/1392.\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 126668392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 1448.78841 nanoseconds to days.\nAnswer: 0.000000000016768384375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4993874*q + 4993874*q - 2*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 39036 - 39033. Factor 1\/3 - 1\/3*l**n - l + l**2.\nAnswer: -(l - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*k + 148 = 61 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1598, -1292, -204, 2056, 5878, 11652, 19768?\nAnswer: 30616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 2 - 1)*(2 + 0 - 3) + 8 + 8 - 10 - 1 + 2 + 1)*(-43*w**4 + 70*w**4 + 20*w**4).\nAnswer: 470*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1.7132 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -173\/13350 and -111\/100?\nAnswer: 26700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3 - (-2 - 0) - -3. Let i(b) = 5*b**2 - 3*b + 3. Let x be i(3). Suppose -d - x = -t*d. What is d rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**3 + 3*q**2 + 6*q - 6. Let l(h) = h**2 + 4*h + 4. Let m be l(-4). Let f be c(m). Solve 4*w = -5*a - 7, -f*w - w - 9 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11585470957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -25*p - 2. Let d(q) = -16926*q - 8. Determine d(f) - 4*z(f).\nAnswer: -16826*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a when three letters picked without replacement from ttttttaaaatttttttt?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 403*c**2 + 1209*c**2 - 211*c**2 - 17*c**2 + 1311*c**2 to the form d + v*c**2 + w*c and give v.\nAnswer: 2695","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 40444000030 + 1?\nAnswer: 40444000031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8738205, -8738225, -8738259, -8738307, -8738369?\nAnswer: -8738445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 810\/891*21\/3*1\/7.\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -330763\/12 + 27564. Let w(q) be the second derivative of -40*q - 2*q**2 + 0 + 0*q**3 - x*q**4 + 1\/20*q**5. Calculate w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 2, r: 11}. Give prob of picking 1 n and 2 r.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 9299308 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -710052, -1420093, -2130134, -2840175, -3550216?\n\"Answer: -710041*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -6*c - 7. Let z(y) = y + 1. Let p(n) = n + 1. Let w(v) = 2*p(v) - z(v). Suppose 0 = -5*b, -6*b - 5 = -5*f - 4*b. Determine f*h(l) + 5*w(l).\nAnswer: -l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**2 + 2*o - 22. Let n be v(-6). Let u be (1\/4)\/((-15)\/18). What is the third smallest value in 5\/4, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + n)*(n - 3 + 3) + (-2 + 2 - n)*(4*n + 0*n - 3*n) + 3*n**2 - n**2 + 0*n**2 + (n - 7*n + 4*n)*(-2 + 2 + n) + 1 - 1 - 3*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -169 divided by -6?\nAnswer: 169\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = 389\/2 - 194. Which is the third biggest value? (a) k (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2*(-1)\/(-10)*0. Suppose d - 3*j + 13 = 0, -2*j - 2*j + 12 = o. Suppose a + 11 = -2*b, -12 - 12 = 4*a + 3*b. Put a, 0, d in descending order.\nAnswer: 0, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 40302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(294) - sqrt(6))*-4)\/(sqrt(9)\/sqrt(75)) - ((sqrt(450) - ((sqrt(450) - -2*sqrt(450) - sqrt(450)) + sqrt(450) + -5)) + 5)**2.\nAnswer: -1900 + 480*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7207\/422334 - 1\/5346. Let u = s - -623\/5214. Calculate the common denominator of 89\/16 and u.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 + 1)*(-29 + j - 2*j + 38) as m*j + r and give r.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 41, 44, 49, 56, 65, 76?\n\"Answer: w**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -3, 29, -4, 20 in ascending order.\nAnswer: -5, -4, -3, 20, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -555289284, -555289283, -555289282, -555289281?\nAnswer: -555289280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -185, -3, -5, 21 in ascending order.\nAnswer: -185, -5, -3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, s: 1, z: 2, b: 2, d: 1, k: 1}. Give prob of sequence kz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1567 - -1701. Which is greater: w or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5037 is divided by 464?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - (6 - 0) - 11?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 12, -18, 38 in ascending order.\nAnswer: -18, 1, 12, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 215123 (base 10) to base 8\nAnswer: 644123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5\/3 (b) -1 (c) -2 (d) 4 (e) -342824\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1000127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 304342 + -240103?\nAnswer: 24235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in -2, -4\/3, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -o - 6. Let d be z(-5). Let h(q) = -3*q**2 - q. Let n be h(-1). Suppose -4*k + 453*s = 450*s - 7, 2*k - s = 5. Put d, k, n, 3 in descending order.\nAnswer: k, 3, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-4)\/(-4*(-1)\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4264*z - 4608 - 4150 = -3962*z for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 1\/2 (b) -6\/17 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes after 3:50 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-14 + 3)*((-902)\/242 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -9560000 rounded to the nearest 100000?\nAnswer: -9600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = 3*g**2 + 25*g + 2. Let w be s(-8). Which is smaller: -50\/9 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 2398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 883 is divided by 213?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 1\/29 (b) 0.1 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 54 minutes before 9:53 AM?\nAnswer: 8:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*w - u + 3, -4*w - 2 = -5*w - 487*u + 488*u for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 6*j**3 + j**2 + j + 1. Let g be d(-1). Let k = -9 - -14. Put k, 1, g in ascending order.\nAnswer: g, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -631 - -649. Solve 25 = y*g - 13*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75\/4 of a century in years?\nAnswer: 1875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 60 and 7196910.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-19 + 19)\/(-10 + (-192)\/(-16)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -4 + -1 + (4 - (-3 - -5))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 1, c: 6, x: 3, o: 6, d: 1}. What is prob of picking 1 o and 1 b?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 3 (b) -6\/13 (c) -11 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*j**4\/5 + 121*j**3\/5 + 218*j**2\/5 - 1312*j\/5 + 128.\nAnswer: (j - 2)*(j + 8)**2*(9*j - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add -142613 and 60.2409.\nAnswer: -142552.7591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -2 plus 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 360914144 or 360914145?\nAnswer: 360914144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 396 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z be (111\/12 - 3)*4. Let i(l) = -2*l**2 + 4 + 3*l**2 + z*l - 25*l. Calculate i(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 85.2, -2, 1\/8, 558\/65.\nAnswer: -2, 1\/8, 558\/65, 85.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 1, r: 4, b: 5, f: 2, e: 4}. Give prob of sequence fvbr.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -206, -766, -1694, -3008, -4726, -6866, -9446, -12484?\nAnswer: -15998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2.1 + 2. Let p = -0.4 + u. Let m = 0.5398 + -0.0398. Which is the third biggest value? (a) -5 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -985032*s**4 + s**2 + 370*s - 192?\nAnswer: -23640768*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 3\/2, 505, 6, 16, -1, 5, 0.5?\nAnswer: 505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6*(-9)\/243 + 16\/(-90). Put -2, -5, c in ascending order.\nAnswer: -5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3973.3 - 709.\nAnswer: 3264.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-4 - (-117)\/36*1)\/(2\/(-24))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -58 + 58. Suppose 20 = m - 0*i + 3*i, m + 4*i - 24 = u. Let r be -1*m\/(-2) - -337. What is the highest common divisor of 31 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 4*b = -2*j + 12, 4*j = 5*b + 24. Let x(d) = d. Let c be x(j). Calculate the greatest common factor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 - 16 = -10*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -3921, -1, 6 in decreasing order.\nAnswer: 6, -1, -3921","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 475381 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0*(-1)\/(-3) + 2. Suppose y*j - 52 = 20. Suppose -6*h + 114 = -j. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (8\/10)\/((-28)\/(-490)). Calculate the highest common divisor of 28 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = 7*g + 19*g - 24*g. Let i(c) = 5*c - 1. What is b(i(a))?\nAnswer: 10*a - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 10*s**3 + 3*s**2 - 6*s + 4. What is the remainder when 315 is divided by o(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 25 - (-7 - -6) - 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 56190 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 203 + -201. Sort a, -1, -4, -27.\nAnswer: -27, -4, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -1158*m + 1155*m. Let f(z) = 4*z**2. Calculate f(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*c + 24 = -5*h + 15*c, -5*c - 6 = 4*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -v**4 - 1038856*v**3 - 12652 wrt v.\nAnswer: -4*v**3 - 3116568*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6\/11? (a) -2.1 (b) 0.05 (c) 0 (d) -5 (e) 96\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -306060, -23, 2 in decreasing order.\nAnswer: 2, -23, -306060","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -b - 3*b + 8 - 4*b wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1287 and 16679?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 451 + -1451. Let b = w - -1345. Calculate the greatest common divisor of 23 and b.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 37034115 - 47?\nAnswer: 37034046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 327096, 654216, 981338, 1308462, 1635588, 1962716, 2289846?\nAnswer: 2616978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) be the third derivative of -d**6\/40 - 19*d**5\/5 - 73*d**4\/8 + 75*d**3 - 657*d**2. Factor q(g).\nAnswer: -3*(g - 1)*(g + 2)*(g + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1 + 3*k**3 + 4*k**3 + k**3 wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -2*c**2. Let r be (1\/3)\/((-2)\/(-30)). Suppose -l + r*g = 22, 6*l - 3*g + 3 = 2*l. Let a(z) = -l*z - 2*z + 4*z. Give h(a(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be 6\/(-14) - (-24)\/56. Find the first derivative of 1 - t - 5*t + k*t - 6 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 s and 1 y when four letters picked without replacement from hhyss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0.24 - 10139\nAnswer: -10138.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 + 2*u + 7. Let k be x(3). Let t(p) = -2*p + p + 0*p - 2 + 4*p. Determine t(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 35 - 141\/4. Let d be 16\/(-330) - (4 - (-184)\/(-44)). Let o = -1 + 5. What is the nearest to y in d, o, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.028 - -4.972. Let y = 4.034 + -0.034. Let f = -4 - -3.5. Sort y, f, z in decreasing order.\nAnswer: z, y, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-c + 1 - 1)*(-3*c + 5*c - 4*c) + c**2 + c**2 - 3*c**2)*(-54*c**2 + 16*c**2 - 8*c**2).\nAnswer: -46*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mhqqper. Give prob of picking 1 h, 1 q, and 1 e.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1278, 1268, 1282, 1332, 1430, 1588, 1818?\nAnswer: 2132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48 is divided by (-4)\/(-26) - (-969)\/39.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -746771 (base 14) to base 6.\nAnswer: -220211531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the third derivative of f**6\/120 + f**5\/20 + f**4\/24 - f**3\/6 + f**2. Suppose g = 4*p - 8, p + 15 = -g - 3*g. Let i be -2*p\/2 + -1. What is k(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**3 + 34*x**2 + 32*x - 11. Let q be t(-33). Suppose 96 = 2*c - 3*r, 25*c + 3*r - 144 = q*c. Is c a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 742*j - 741*j = -7 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -5*a + 19*a + 7*a + 7*a as v + y*a and give y.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand ((3*l + 3*l - 4*l)*(0 - 3 + 1) - l + 0 + 0)*(-4 + 4 + l**3) + (-6*l**2 - 3*l**4 + 6*l**2)*(-4 + 0 + 0).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-5)\/(-10))\/((-1)\/26056). Let m = 21747 + n. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 64 + -59. Suppose -5*b - 4*y - 1 = -5, -3*y = -s*b - 3. Find w such that 1\/4*w**5 + 1\/2*w**4 + 0*w + 0*w**2 + 1\/4*w**3 + b = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 20 - 2bb76b?\nAnswer: -2bb74b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, -0.3, -6\/5, -0.0789 in decreasing order.\nAnswer: 0.2, -0.0789, -0.3, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be 7 - (2 + -1) - (-912)\/(-171). Does j = -7\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2188333472.\nAnswer: 2, 13, 5260417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -29 - (1 - (-21 + 80))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - 0.0184?\nAnswer: -6.0184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 527, 1155, 1801, 2471, 3171, 3907, 4685?\n\"Answer: x**3 + 3*x**2 + 612*x - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2 - 7)*(-2*z**3 + 6*z**3 - 2*z**3).\nAnswer: -18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*w = -7*w - 19*w + 507. Calculate the greatest common factor of w and 2392.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3228*c**3*k + 4*c**2*k + 2*c**2 - 175*c*k - c wrt c?\nAnswer: -19368*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -197*y**3 + 93*y**3 + 106*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((-1*sqrt(49))\/sqrt(7)*4 - -3*(sqrt(343) + 0)).\nAnswer: 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:41 AM and 7:05 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z = -4*k - 22, 7 + 8 = z - 3*k. Let h(d) = 1 - d - 2*d**2 + z*d**2 - 3. What is the tens digit of h(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i**5 - 5*i**4 + 8*i**3 - 4*i**2 = 0. Calculate i.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 13 = 7. Suppose d*x + 0*x = 8. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.12 and -0.2?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = 28 - 5. Let a = 8 - u. What is the nearest to 1 in a, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 6 - -22. Let g be 1*((-1 - 0) + y). Let v = -19 + g. Calculate the smallest common multiple of 6 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -89*d**3 + 7*d**2 + 5*d - 258. Let q(a) = -7*a**3 - a**2 - a - 1. Let r(g) = -5*q(g) - z(g). Find the third derivative of r(c) wrt c.\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2\/8*3\/(-2)*3888\/54\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 8*h**2 - 2*h - 5*h + 2 - 6*h**2 - 7. Let i(t) = -4*t**2 - 1. Let r(z) = -3*z**2 + z. Let d(o) = 2*i(o) - 3*r(o). Determine -10*d(v) + 4*j(v).\nAnswer: -2*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-226)\/6)\/(7 - (-88)\/(-12)). Is d != 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -27.58? (a) 2 (b) -0.1 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be 18 - (-3 + 2 - 0). Let q = 26 - 11. Suppose x - j = -5*v, 5*v = -4*x + 16 + q. Solve -5*h + 35 = -v*m - 2*m, -2*h = 2*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1576, -1 in increasing order.\nAnswer: -1576, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9349 - 9381) + (0 - 0 - 0)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 217 minutes before 8:21 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*p**2 - 532*p + 536.\nAnswer: -4*(p - 1)*(p + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4 is divided by 12\/7 + (-12)\/(-42)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*h + 463 = 361 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 23017172 divided by -4?\nAnswer: -5754293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -130*c - 95*c = -40*c - 740 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 - 2 + 12)*(h - 5*h + 3*h).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1506162815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q**2 + 24*q + 1881 = 0. Calculate q.\nAnswer: -33, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -r = -4*j + 7 - 25, -4*j = 3*r + 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -2510*s + 13. Let d(x) = -1254*x + 8. Give 5*d(w) - 3*j(w).\nAnswer: 1260*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2.4 + -2.8. What is the second smallest value in -4, 1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3840 and 151808.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06951368 times 0.01?\nAnswer: -0.0006951368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l*l**20))**(-30) assuming l is positive.\nAnswer: l**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -22*w**2 + 503 + 3*w**2 - 501 + w**3 as x*w**2 + r*w + b*w**3 + h and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 114*y**3 + 3*y**2 - 5*y - 4. Is x(2) a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 815.1881 millennia to decades.\nAnswer: 81518.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -846, -889, -966, -1089, -1270, -1521?\n\"Answer: -2*r**3 - 5*r**2 - 14*r - 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -28*x**3 - 2*x**2 - x - 1. Suppose 36 = -f + 5*f. What is the remainder when l(-1) is divided by f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(-7))\/((-35)\/(-245)) - 8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 5*t**2 - 312*t + 336. What is u(61)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/7 + 480\/(-14). Let f be l\/(-6) + 1\/3. Suppose f = 2*x - 2. Solve 0 = m - 2*m + x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.01 - -0.13. Let h = -39 + 26. Let i = 14 + h. Which is greater: i or c?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 127*x - 42*x + 24129 - 27699 = 0 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be 164\/287 - (34\/(-14) + 1). Let u be (s - (-3 - -5))*-1. Let t(r) = -r**2 - r - 3. What is t(u)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 158 (b) -4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 15572455 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2269*b + 238245. Give q(-105).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 143605418 is divided by 47868468.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*-3.52.\nAnswer: 0.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 35120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m + 1 - 1)*(-2*m + m + 2*m) - 3*m - 2*m**2 + 3*m + (-4 + 1 + 2)*(4*m**2 + 0*m**2 - 5*m**2) + 6*m**2 - 14*m**2 - 17*m**2.\nAnswer: -28*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 10, 248, 13, -59 in decreasing order.\nAnswer: 248, 13, 10, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 110\/(-3)*30\/(-140). Let s = 8\/2861 + 1919283\/160216. Let z = s - a. Calculate the common denominator of -29\/10 and z.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 12, 12, 14, 18?\n\"Answer: o**2 - 3*o + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2. Let x(t) = -7*t - 6. Let j(a) = -15*a - 13. Let r = -7 + 1. Let w(i) = r*j(i) + 13*x(i). Determine w(q(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/3 + 2)*(-6)\/(-15). Let z = -1.5 - -2. What is the nearest to 1\/3 in m, -2, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*t + 56*t + 139*t + 135*t - 4 + 3.\nAnswer: 368*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 85 is divided by 46.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -13592511 >= 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor c**5 + 84*c**4 - 171*c**3 + 86*c**2.\nAnswer: c**2*(c - 1)**2*(c + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 3, c: 10, e: 2}. Give prob of picking 1 e, 2 a, and 1 c.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/3 of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w - 5*p + 4*p = 9, -3*w - 9 = 5*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence be when two letters picked without replacement from {w: 2, c: 3, e: 7, b: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -u**2 - 19*u + 327. Let q be f(-26). Solve q = -4*h + 165 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 163741802.\nAnswer: 2, 7, 463, 25261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -13 + 8. Let g be (4\/3)\/(b\/15). Let k(q) = 6*q + 2. Let t(r) = 17*r + 6. What is g*t(m) + 11*k(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 3, m: 8}. Give prob of sequence ii.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5627.\nAnswer: 17, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -414546196.7 to the nearest one hundred thousand.\nAnswer: -414500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/153933 and -17\/351?\nAnswer: 1385397","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -121033 + 1020001?\nAnswer: 343413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.49 - 4.39. Let m be -4 - (1 + (-25)\/10). Which is greater: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 933374849?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -324464277*k - 336999086.\nAnswer: -324464277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.3479985 - -0.349. Round w to 5 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**3 + 7*u**2 + 2*u. Suppose -17 = 4*d + t, 0 = d + 4*t + 2 - 9. What is x(d)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 915?\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 93\/10 and 17 + 5 - (-1)\/(-6).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -b**3 + 18*b**2 + 18*b + 21. Let t be h(19). Solve -4*z - 8 = -t*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -2*i + i. Is (-1)\/i*4 - 114\/(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 232941378?\nAnswer: 2, 3, 17, 23, 31, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 140 and 432866.\nAnswer: 4328660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the first derivative of u**5\/20 - u**4\/16 - u**3\/12 + u**2\/8 + 12. Factor l(n).\nAnswer: n*(n - 1)**2*(n + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.4 - 0.4. Let d = -4.99 - 0.01. What is the biggest value in -2, d, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3\/(-5))\/(2\/(-50)). Suppose -q - 33 = -2*b. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 337 is divided by 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 4.6733 minus -63?\nAnswer: 67.6733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-1)*a)\/a**(-17) assuming a is positive.\nAnswer: a**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-1 - 7984\/(-38)) + (-46)\/437 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5776910 + -69371495\/12. Let q = -4043 - f. Find the common denominator of q and 21.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*f - 181 = -163 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 10 = 2*p. Suppose 5*b - t + 2 = 0, -p*b - 2 - 6 = t. Suppose 3*k = -4*g, 2*g + 2*g = 0. Are b and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((sqrt(612))**2*-5 + 4 - (sqrt(2057) + ((sqrt(2057)*-2 - sqrt(2057)) + sqrt(2057) - sqrt(2057)))**2*-4) + -3)*3.\nAnswer: -268713","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 + -1. Suppose 0 = -w - p*w. Suppose 5*d + 4*u + 35 = -w*d, 0 = 2*d - 3*u - 9. Let l(a) = -a. Calculate l(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.37 + 0.3700021. Round q to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 228786 and 94206?\nAnswer: 1601502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 22618 - 6198. List the prime factors of s.\nAnswer: 2, 5, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 933.2839748 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 21728 and 439992.\nAnswer: 1759968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122*v = -49*v - 55*v. Which is smaller: 2\/125 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22 plus 22804206?\nAnswer: 22804184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 608335.9 millimeters to kilometers.\nAnswer: 0.6083359","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 5*s - 72 = 0, 2*o + 2 = -4*s - 112. Find the common denominator of -43\/30 and o\/66 - 4\/(-6).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*f**2*q + 130*f*q*s**3 - 8*q*s**2 - 45*s**3 wrt f?\nAnswer: 4*f*q + 130*q*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2074000 rounded to the nearest one hundred thousand?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 PM and 9:14 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*s - 6*s = -14*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4617 = -1728*j - 5912 + 29944 + 13417 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) be the first derivative of -u**7\/840 + u**6\/60 - u**5\/10 + u**4\/3 - 2*u**3 - 1. Let k(y) be the third derivative of b(y). Factor k(f).\nAnswer: -(f - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -29\/1248 and 44618\/4992 - ((-37976)\/(-4136) + 4\/(-22)).\nAnswer: 2496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3993) + sqrt(3993) + (sqrt(3993) - sqrt(3993)*-2*-1))\/((sqrt(176)*-1 - sqrt(44))\/sqrt(4)).\nAnswer: -11*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 923, 930, 941, 956, 975, 998, 1025?\n\"Answer: 2*j**2 + j + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3\/6*0\/1. Let y(h) be the second derivative of 0 - 1\/147*h**7 + 0*h**2 + 1\/35*h**6 + 2*h + q*h**3 + 1\/42*h**4 - 3\/70*h**5. Factor y(s).\nAnswer: -2*s**2*(s - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7673 in 5\/3, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/2 (c) 40.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/3*28\/(-210)*(-10)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y - 216 = 3*y. What is the greatest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 13*q = 56. Let d(x) = -2*x + 18*x + 8*x - 33 + 13*x**2 - q*x. Let m(p) = -3*p**2 - 4*p + 8. Calculate 2*d(a) + 9*m(a).\nAnswer: -a**2 - 2*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3349006229 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12256445 to the nearest integer?\nAnswer: 3501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3675 + -18381\/5. What is the nearest to y in -2\/9, -55, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2272503897 to the power of 1\/2, to the nearest integer?\nAnswer: 47671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sqsxqqreqqqqqqqxxsx. What is prob of picking 1 s and 1 q?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 82.1 and 7370?\nAnswer: 605077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ooso when four letters picked without replacement from {s: 3, x: 11, o: 4}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 0 + 5)*(-4 + 2*d + 1 + 4).\nAnswer: 4*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (27\/63*84\/24)\/1.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((((o*o**20)\/o)\/o)\/o*o)\/o**(-9\/4))\/(((o\/(o\/(o\/(o*o*o**(-1\/7)*o)))*o)\/o)\/o)**(1\/3))**(-9\/2) assuming o is positive.\nAnswer: o**(-5595\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.05841 + -1.94159. What is the nearest to l in 1, 0.07, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 108*q - 414. Let f be b(4). Solve -f*m = -14*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 312031?\nAnswer: 312031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20431 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -155*h + 480 = -140 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5\/(-10))\/((-12)\/24). Solve -f = -21*m - 64 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -5 + 5 + 377*p - 379*p + 0. Let z(s) = 3*s**2 - 35*s. Determine j(z(h)).\nAnswer: -6*h**2 + 70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -12890 - -412467\/32. Let b = 4046117\/72 + -56194. Calculate the common denominator of b and f.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o + 6. Let f be j(-11). Let m be (-285)\/(-75) - (-4)\/f. Suppose m*t - 143 = -4*l, 4*t = -5*l + 4*l + 26. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2545541 to the nearest integer?\nAnswer: 1595","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17 - -11. Let k be (1 - t\/3)*5. Solve 5*o - k = -2*m, -o - 6*m = -m - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 441 and -0.4.\nAnswer: -176.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*m + 6*m**2 + 5*m**2 + 84*m + 44.\nAnswer: 11*m**2 + 3*m + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24*x - 28*x = -60. What is the smallest common multiple of 411\/x - ((-16)\/10 + 2) and 3?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-1\/2)*p)**(2\/35)*p**(-1\/2)\/(p\/(((p*p**(1\/9)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(-2117\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -14 times 8?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -2\/7 (b) 13\/2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-59286)\/9)\/((-36)\/162). Suppose 9586 = -31*o + n. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -28*o**2 + 10*o**2 - 3 - 3*o + 7*o**2 + 4*o**2 + 5*o**2. Determine k(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -119, -521, -1293, -2519, -4283, -6669, -9761, -13643?\nAnswer: -18399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*z + 0*z + z - 9*z**2 + 3*z wrt z?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 449085, 449087, 449087, 449085?\n\"Answer: -c**2 + 5*c + 449081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((f\/(f\/(f\/f**(-1))))\/f)**26)**(-2\/13))**(2\/55) assuming f is positive.\nAnswer: f**(-8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 306885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 5266*h + 77809 - 52381 = -106222 for h.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**3 - 2. Let x be v(2). Let n be (10 + -1)*3\/9. Suppose -n = 3*l - 5*m - 21, -l + 5*m = -x. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 90.7 and 9.\nAnswer: 816.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tnny when four letters picked without replacement from {t: 2, y: 10, n: 3}.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-50)\/(-2)*(-273)\/(-1365)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.02 times -667155?\nAnswer: 13343.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the third derivative of -s**4\/12 - s**3 - 15*s**2. What is r(-9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 3651623?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(6\/5)\/(g\/g**1)*(g**(-1))**(9\/14) assuming g is positive.\nAnswer: g**(39\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.51 and -280694.\nAnswer: -143153.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9966022.\nAnswer: 2, 11, 139, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from nnnegnggnennrngnrnn. What is prob of picking 2 r?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 30 smaller than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 2 k when three letters picked without replacement from {k: 2, i: 1, s: 1, o: 1, e: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1824 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 5:33 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*c - 1 + 1)*(0*c**3 + 0*c**3 - 2*c**3) - 18*c**4 - 3*c**4 - 4*c**4)*(0*c - c - 5*c).\nAnswer: 174*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fv when two letters picked without replacement from {v: 7, f: 5, b: 1}.\nAnswer: 35\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6944439*p**2*r**2 - 1502568*p*r**2 + 6*r**2 wrt p?\nAnswer: 13888878*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/6, -2, -8, 1.\nAnswer: -8, -2, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24249 and 5133?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 205*v + 2*s - 97 + 3 = 119, 4*s - 19 + 3 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6 - 4. Suppose -n*s = -7*s. Let l = s + -1. Let x(g) = -g**2 + g. Let v(c) = -7*c**2 + 6*c. Determine l*v(z) + 6*x(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrjyzjd. Give prob of picking 2 r and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -1352*c + 39560. Give z(29).\nAnswer: 352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the third derivative of -115*d**8\/42 - 185*d**4\/12 + 907*d**2. What is the second derivative of j(t) wrt t?\nAnswer: -18400*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a**4\/2 - 875*a**3 + 77735*a**2\/2 + 365660*a = 0.\nAnswer: -389, -8, 0, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r + 5*d + 2, 3*r = -4*d - 1 - 12. Let o = -111 - -112. Let c be o\/(-1) + (-3)\/r. Solve -2*h - 2 + 0 = c for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 198173 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -686, -966, -1222, -1442, -1614, -1726, -1766, -1722?\n\"Answer: 2*m**3 - 294*m - 394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5470 - 5474. Put m, -71, 11 in descending order.\nAnswer: 11, m, -71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13 - -30 - 27 - 87?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -20 - (-53 - (8 + -22)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 - 4*y + 2. Let r be a(4). Let g = 15 + -6. Let w be (-8)\/4 + 2 + g. Solve w = -r*i + 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -7*s**3 + 7*s**4 + 7*s**3 + (4*s**3 - 4*s**3 + 2*s**4)*(-4 + 2 + 1).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -53\/4 - -13. Find the common denominator of -67\/8 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7)\/(-441)*7)\/((-1)\/(-3)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1808 - -1774) + 1 + 5?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-11)\/p*p*p*((p*p**(9\/2))\/p*p*p)\/p*p)\/(p**(2\/33))**(2\/5) assuming p is positive.\nAnswer: p**(-1163\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(1*sqrt(95) + sqrt(95)))\/sqrt(5) + 4.\nAnswer: 4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 440290167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of -99 and 168.1535.\nAnswer: -16647.1965","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 3 + 0*o - 1 - 3 - o. Let i(n) = -n**2 - 3*n - 5. Determine -5*g(h) + i(h).\nAnswer: -h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 74 and 2553.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2 - 200053452?\nAnswer: -200053454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10065.\nAnswer: 3, 5, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3764 - 3787 + 11*k + 7551.\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 969339.1 millimeters in micrometers?\nAnswer: 969339100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 664 minutes after 10:12 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*y + 143 - 143)*(3 - 1 - 1)*(-11*y**2 + 20*y**2 - 12*y**2).\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 279321?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-134)\/(-402))\/((-26)\/(-18)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -0.6, 1\/12, -2\/17, -3 in descending order.\nAnswer: 1\/12, 0, -2\/17, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 22 - -60?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/(-14))\/((-61860)\/7217)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 162*v - 154*v - 111704. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16246 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Work out -1249 + 0.24.\nAnswer: -1248.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.3 + -0.5. Let w = 3.4 + -3. Let h = w + i. Which is the biggest value? (a) 2\/7 (b) -1\/5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.087 - -0.087. Which is the closest to -0.1? (a) -13 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1182)\/108 + 11)\/(31\/(-3))?\nAnswer: -1\/186","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 7*i. Let j(z) be the third derivative of -120*z**2 + 0*z**4 + 0*z**3 + 0 + 31\/60*z**5 + 0*z. Calculate j(m(x)).\nAnswer: 1519*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from huhwkhqhhhkhuhwkqhh. Give prob of picking 1 w, 1 k, and 2 u.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1384 and 6554624.\nAnswer: 1384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.325 and 4.\nAnswer: 3.675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 38*t**2 - 342*t - 184. Let v(w) = -27*w**2 + 244*w + 131. Let m(k) = -12*c(k) - 17*v(k). What is m(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 3.3, -1\/6, 0.04?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 689?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = y**3 + 45*y**2 + 140*y - 67. Determine q(-42).\nAnswer: -655","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzvzhbzh. Give prob of picking 3 z.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.41 + -0.16. Let j = 0.35 - u. Which is the second smallest value? (a) -0.1 (b) j (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*y**3\/7 + 364521*y**2\/7 - 11081160453*y\/7 + 497914338735\/7 = 0 for y.\nAnswer: 45, 60731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 717 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*h + 39*h - 2 = 2*b + 84*h, -53 = -3*b + 10*h + 12*h for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1779 and 9?\nAnswer: 5337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**4 - 510*z**3 + 5455*z**2 - 4950*z.\nAnswer: 5*z*(z - 90)*(z - 11)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the second derivative of 32*s + s**2 + 0 - 1\/2*s**3. Let h = -9 + 13. What is k(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(1300) + (1 + sqrt(1300))*-5)**2.\nAnswer: 320*sqrt(13) + 20816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -184163042681 + 5.\nAnswer: -184163042676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/l**(-1\/5)*l\/(l\/(l**(1\/7)*l))*l)\/((l*((l*l\/l**8*l*l)\/l)\/l*l)\/l*l*l**(-2\/9)\/l*l*l*l)*(((l*l**0*l)\/l)**(35\/6))**9 assuming l is positive.\nAnswer: l**(36581\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the third derivative of r**8\/11760 + r**7\/1470 - 2*r**5\/105 + r**4\/6 - 6*r**2. Let y(t) be the second derivative of a(t). Factor y(p).\nAnswer: 4*(p - 1)*(p + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5055.95362 - 5056. Let z = q + 0.0429. What is z rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-11837)\/3857 - 1*-3\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 34 - 25. Solve z = -3*w - 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 456 is divided by 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -2\/19, -1\/9, -18, -0.33?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2459.\nAnswer: 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 105.4 + -105.4. Which is the nearest to 27? (a) 1 (b) t (c) 0.5 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 861 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*v**4 + 206700*v**3 - 2136451190*v**2 + 4272282300*v - 2136037805.\nAnswer: -5*(v - 20669)**2*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g**2 - 4*g - 97. Let r(d) = 3*d**2 + 4*d + 96. Let m(q) = 4*a(q) + 3*r(q). Let b be m(0). List the prime factors of ((-216)\/120)\/(6\/b).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4558, 5298, 7318, 11260, 17766, 27478, 41038, 59088?\nAnswer: 82270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 2, g: 5, p: 1, m: 2, r: 5, q: 5}. Give prob of sequence gg.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*g - 46058 = 8542. What is the greatest common divisor of 156 and g?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2 - 57\/30) + 4 + 33\/(-30). Sort 22, -1, -2, r, -3.\nAnswer: -3, -2, -1, r, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4*30\/80)\/(18\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2953435890 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 3216 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -0.38542835 to two decimal places.\nAnswer: -0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - 8*a**2 + 8*a - 5. Let p be r(7). Suppose 2*b - 67 = 3*m, -4*m - 102 = p*b - 5*b. What are the prime factors of b?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - 2*s + 10 = -38, 4*l - 5*s = 20. Calculate the highest common factor of 5 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -176 - -2638\/15. Let z = -2 + -1. What is the biggest value in z, -1\/5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -72 (base 10) to base 3.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2011 (base 3) in base 8?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -13 (b) -1\/4 (c) -2.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -37 (c) 12 (d) 0.33 (e) -22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 6 + 4 = 3*x, 5*x = 2*z + 26. Let k = -4 + x. Solve -5 = -k*u + u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -57 + 53. Which is the second smallest value? (a) 0.2 (b) 77 (c) v (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yeyeeeeyyeeyyyeyey.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -6. Let j(d) = d - 1. Let p(k) = 4*j(k) - t(k). Let y = -10 + 13. Let o(i) = y + 5*i + 2 + 1 - 4. Calculate 6*o(f) - 7*p(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h**4 + 0*h**4 - 6*h**4)*(-2*h - h + 4*h) - h**4 - 2*h**5 + h**4 + (-2*h**4 - 2*h**4 + 2*h**4)*(1 - 1 - 2*h).\nAnswer: -2*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 1 z, and 2 x when four letters picked without replacement from xzxzzxmxxmixxizxxz?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = -122371\/18 - -6793. Let p = 48595\/8 + -6065. Calculate the common denominator of h and p.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -121 - 150 + 38*s**2 + 381 - 110.\nAnswer: 38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -7*o + 1 - 6 + o**2 - 9. What is the units digit of k(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.282 + -29.618. Let k = 30 + n. Let w = 0 - 0.2. Sort w, 2\/17, k in descending order.\nAnswer: 2\/17, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 103, 558, 1013, 1468?\n\"Answer: 455*p - 352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-1 + sqrt(44) - -2*sqrt(1584))**2*-4.\nAnswer: -29751 + 208*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 - 10. Let v(d) = -d - 6. Let w(u) = 2*u + 11. Let c(o) = j*v(o) - 6*w(o). Determine c(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.98 - -0.02. Let d = 221\/798 - -1\/114. Let m(y) = y**3 - 2*y**2 + y - 3. Let h be m(2). Which is the nearest to h? (a) p (b) 5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*l - 30 = -4*l + 2*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 2\/11, 2\/9, 2.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (20994 + 12390 + 2786 + 3278 - 383)*(2*g - g + 0*g).\nAnswer: 39065*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 8, n: 2, s: 1, e: 2, l: 2}. What is prob of picking 2 l, 1 n, and 1 e?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 294*b**5 - 13*b + 3 wrt b.\nAnswer: 5880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 18*i**2 + 11*i - 10. What is the smallest common multiple of 66 and y(6)?\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*x*x**0)**(-13)*(x**0)**(-18) assuming x is positive.\nAnswer: x**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(-3) + -1 + (-8 - -8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -4*s**2 - 14*s - 11. Determine m(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a week in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:46 PM and 5:11 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 92.8 - 0.916.\nAnswer: 91.884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least as big as 3688\/17883?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -252945 less than or equal to -252948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*d**2 + 3*d**5 + 2*d**2 - 3*d**2 wrt d.\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 251 - 176. Suppose 0 = -1679*u + 1706*u - 567. What is the lowest common multiple of k and u?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + -3 + (-20 - (-4 + 8 + -7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z = -z - 20. Which is the biggest value? (a) -3 (b) 2\/19 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/307 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 2882 * -5.\nAnswer: -14410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3083?\nAnswer: 3083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 174672?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -159*a**3*n*y**3 + 39399*a**3*y**3 - 24572*a**2*n*y**3 - a**2 wrt a?\nAnswer: -954*n*y**3 + 236394*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(14\/9))**31 assuming z is positive.\nAnswer: z**(434\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -404686, -404699, -404720, -404749, -404786, -404831, -404884?\nAnswer: -404945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -59? (a) -3 (b) -8 (c) -5 (d) -0.13 (e) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 13 + 8 - 2)*(-3*k**2 - 2 + 2).\nAnswer: -3*k**3 - 57*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -2*j + 4*j + j. Let i(v) be the third derivative of -v**4\/8 - v**2 - 9*v. Determine p(i(h)).\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6159048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**5\/13 + 264*s**4\/13 + 11616*s**3\/13 + 170368*s**2\/13.\nAnswer: 2*s**2*(s + 44)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 140 - 698\/5. Let z = -2.93 + -0.07. Let v = -3.2 - z. Sort h, -5, v.\nAnswer: -5, v, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -3*d**3 + 2*d**2 - 1. Let f(c) = -3*c - 2. Let p be f(-2). Suppose 5 = -5*k - p*h, -3*h = -k + h - 1. Let o be g(k). Sort -2, o, 2.\nAnswer: -2, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3\/5, -29, 4?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.5? (a) 3\/2 (b) -8\/9 (c) -1\/7 (d) -4 (e) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 4 + 84?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 6398 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ukih when four letters picked without replacement from {k: 1, i: 1, h: 1, f: 1, u: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-31)\/124*2\/(-9)*48\/(-8)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 62907 divided by -1613\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 1039*n = 3021*n + 174416 for n.\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 6 (b) -421 (c) -5 (d) 2\/3 (e) -154\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 16 + 3*q - 53 + 16 + 21. Let w(v) = -370*v. Calculate j(w(b)).\nAnswer: -1110*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -2, 0.1, 3\/3557, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6312\/(-8416)*(-8)\/141.\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 - 8 = -b. Let l be 1 + 2\/(-1) - -120. What is the highest common factor of b and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22022 + 221?\nAnswer: 100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add together -353.3 and 229.\nAnswer: -124.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 60 and 1350?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (23 + 9 + -20 - (78 + 1))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8387*h**3 + 8383*h**3 - 2 + 2 + 0.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -21878.58 to the nearest 10.\nAnswer: -21880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = t. Let p = -1 + 0. Let m be 4 - 2 - (p - 1). Solve t = -3*l + m + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.5 + 0. What is the second smallest value in -6, -0.2, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10*z**3 - 2 + 8*z**3 - 2*z**4 - z + 2*z in the form g*z + o + m*z**2 + x*z**4 + d*z**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 79 - 75. Calculate the least common multiple of l and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -13*b**3 - 3539*b**2 - 817*b - 269. Determine i(-272).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 55\/2 + -377\/14. What is the closest to -2\/5 in 2, l, 2\/3, 11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91*d - 8 = 99*d. Let q(m) = -m - 11. Let a be q(-6). Let l = 1.8 + -2. Put l, a, d in decreasing order.\nAnswer: l, d, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00008766 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -2*s**3 + 5*s**2 - 8*s + 8. Let x be q(2). Let f(o) = -14*o + 7. List the prime factors of f(x).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -19, -3, -5, 7, -17 in descending order.\nAnswer: 7, -3, -5, -17, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2569?\nAnswer: 7, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3630970103 to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and -8971.\nAnswer: 897.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -6428*l - 56 = -6436*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**2 + 47*v + 308. What is x(-9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {s: 2, i: 2, t: 9}.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/5, -9\/10, -1\/6, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -47*v**2 - 12474*v + 7457. Calculate f(-266).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f - 3*f = -3*f. Suppose f = -5*j + 52 + 68. Calculate the remainder when 68 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2747 a factor of 962691644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2048, 2031, 1998, 1943, 1860, 1743, 1586, 1383?\nAnswer: 1128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 10*n**2 - 18540*n + 294059. Give c(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1332 + 1.65. Let h = -1.55 + s. Round h to three dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 5*o**3 - 2*o**2 + 19*o - 249. Is l(12) a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 6*v**3 + 5*v**2 + 4*v + 17. Let p(g) = -2*g**3 - 3*g**2 - 2*g - 7. Let l(c) = 2*d(c) + 5*p(c). Give l(4).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the second derivative of 51*o**6\/5 - 1255*o**4\/12 - 175*o + 2. What is the third derivative of g(v) wrt v?\nAnswer: 7344*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 1:18 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1807*t**2 + 9 - 1830*t**2)*(3*t**2 + 3*t**2 - 4*t**2).\nAnswer: -46*t**4 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 155597389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -f**3 - 4*f**2 - 2*f. Calculate y(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**3 - 4*r**2 + 6*r + 6. Let v be l(-5). Suppose 4*y - v = 7. Let b be 1*(2\/11)\/1. What is the smallest value in -0.1, y, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y + 5*y - 596 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from beejqbennqqnp. What is prob of sequence bep?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z - h = 9*z - 8*z - 22, -6*z = 6*h - 156 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the first derivative of -w**4\/28 + 31*w**3\/21 - 132*w**2\/7 + 684*w\/7 + 629. Factor v(b).\nAnswer: -(b - 19)*(b - 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 20196?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w**(3\/11)*w*w**(2\/39)*w**(-13)\/w**(-1\/6) assuming w is positive.\nAnswer: w**(-9017\/858)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*z**2 + 49 - 49.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r - 87 = -3*o, o + r - 39 = -3*r. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -1 + 5 - (0\/8 + -1252) is divided by 137?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:21 PM and 1:32 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8996 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/1455 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 252, 259, 270, 285, 304?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 60 = -0*t. Let p be (-4)\/t + 16\/(-3). Let m = 6 + p. Calculate the greatest common factor of 5 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 813\/8 smaller than 102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) -0.3 (c) 0.09 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -8924497.89 to the nearest one hundred thousand.\nAnswer: -8900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4)\/(-18)*3 + 110\/6. Suppose -26 = 17*c - x*c. What is the remainder when 75 is divided by c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) be the third derivative of -l**4\/24 + l**3\/6 + 6*l**2 - 638*l. Let w(p) = 79*p - 4. What is 4*a(n) + w(n)?\nAnswer: 75*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (2*(sqrt(66) - (sqrt(66) + sqrt(66)*1)) + sqrt(66) + 1*sqrt(66)*2)\/((sqrt(216)\/sqrt(4))\/sqrt(9)*-6).\nAnswer: -sqrt(11)\/6 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 6\/(-14) + -2 + 134766\/14. Let g = b - 9606. Let 20*q**3 + 16\/7 - 32\/7*q - g*q**2 = 0. Calculate q.\nAnswer: -2\/5, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3347.1 take away -0.1385?\nAnswer: -3346.9615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of l**8\/336 - 3*l**4\/8 + 4*l**3\/3 - 4. Let j(f) be the third derivative of o(f). Differentiate j(t) wrt t.\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6395.7141ns to days.\nAnswer: 0.00000000007402446875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (-20900)\/(-70) + (-6)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(165)\/sqrt(3)*4)\/(5*(sqrt(45) - sqrt(5))) + -5)**2 + 5.\nAnswer: -4*sqrt(11) + 794\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -39 - (-12 - 0 - (-201 - -204)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:14 AM and 9:37 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (1 - (-15)\/2)*(19 - (20 - 63)) is divided by 178?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7332812 divided by 6?\nAnswer: -3666406\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 474 - 214. What is the hundreds digit of (384\/(-8))\/((-15)\/n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the first derivative of -4*z**3 + 32*z**2 - 256\/3*z + 1\/6*z**4 - 70. Determine m, given that y(m) = 0.\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -1 + 1 - v**2. Suppose 0 = -9*j - 4 + 76. Let t(a) = 26 + 17 - 43 - j*a. Give w(t(r)).\nAnswer: -64*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 14, 0, -4, 5, -162 in descending order.\nAnswer: 14, 5, 0, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 0*h = -2*j + 106, 0 = 5*h - 15. Calculate the highest common divisor of j and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 512, 453, 360, 233, 72, -123, -352?\n\"Answer: -17*f**2 - 8*f + 537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**2 - 7*p + 3. What is j(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (100\/195)\/(265\/12402)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -222553 (base 6) to base 3\nAnswer: -221202220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -0.0555161+-3\nAnswer: -3.0555161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i - 1, -2*i - 144 = -2*w + 360. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -2*n**2 - 12*n + 3. Let m be i(-6). Suppose -m*h + 6008 = 5*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 121 (base 3) to base 11\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -106.6 - -7.6. Let u = -101.64 - f. What is u rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -34 - -103. Let t = -39 + r. Does 10 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 132115154?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 2 o when three letters picked without replacement from mmkmmomkkmomomkko?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = 357221 - 8573227\/24. Calculate the common denominator of g and ((-1)\/(-18))\/(3\/(-67)).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 8 = 2*x, 5*q + x + 5 = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0009144 rounded to five dps?\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 2*m**2 - 18. Let z(t) = -5*t**2 + 4*t. What is z(s(g))?\nAnswer: -20*g**4 + 368*g**2 - 1692","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-16)*-2*1*(-1)\/2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 24491168843 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3370 is divided by 368?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -2383, 0 in increasing order.\nAnswer: -2383, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 47*y - 615. Determine d(-9).\nAnswer: -1038","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -13*d**3 - 1507*d**2 + 7*d - 14. Let v(g) = 10*g**3 + 1005*g**2 - 5*g + 10. Let r(y) = -7*v(y) - 5*z(y). Factor r(o).\nAnswer: -5*o**2*(o - 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.25 + 0.15. Let l = -55.7 + 308.7. Let p = l + -253.6. Which is the nearest to 0.1? (a) p (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 3*c + c + 20 = 0, 5*a + 14 = -c. Let l be 4731\/(-247) - a\/13. Is 24 a factor of ((-4 - 1) + 1)*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 1199 = 5*p, -9*p - 4*v - 231 = -10*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*o - 29*o + 24*o**5 - 34*o**5 - 25*o**5 wrt o?\nAnswer: -700*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**2 - 3*i - 2. Suppose -a + 6 = -4*a. Let b be n(a). Solve 0 = -4*x - b*l + l + 9, 0 = 3*x - 2*l - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 7 = t, -2*k + 5*k = 5*t - 9. Suppose 5*p = 5*h, -k*h - 12 = -p - 7*h. Solve 2*m - b + p = 0, -3*m + 5*b - 4*b = 2 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 864\/5 + -2582\/15. Let i = 8 - 5. Which is the second biggest value? (a) i (b) 4\/3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 28 = 5*s. Suppose -3*l + 27 - 6 = -s*c, 2*l - c - 7 = 0. What is o in -1\/4*o**3 + 0*o**l + 1\/4*o + 0 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**3 - 4*m**2 - 4*m + 1. Let v be g(-3). Let p be 15*(-3)\/150*v*-10. Suppose p*k - 10*k - 2 = 0. What is the lowest common multiple of 41 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 29016*b - 29003*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2370 + -767. Suppose -4*d + 2*t = -2926, 0 = 5*d + 5*t - v - 2032. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 273*d - 53*d - 3520 = 0 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**2. Suppose -k = -0*k - 3. Let p(s) = -11 + k + 8 + 2*s. Give p(m(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -99 - -1 - (331 + -398).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 17*x**2 - x**2 + 15*x**2 + (-1 + 2*x + 1)*(-2 + x + 2) + 6*x**2 - 2*x**2 - 2*x**2.\nAnswer: 35*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 7*s = -1044. Let v = -60832 + s. Let f = v + 2544145\/42. Find the common denominator of 83\/22 and f.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {w: 8, z: 2, g: 5}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the second derivative of 753*o**5\/20 - 13*o**4\/4 - 2*o**2 + 651*o. What is the third derivative of j(r) wrt r?\nAnswer: 4518","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.336775 rounded to 2 dps?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, n: 2, f: 9}. Give prob of picking 1 g, 2 f, and 1 n.\nAnswer: 144\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 2*z = 36. Let x be (-16)\/(-7) + z\/42. What is the third derivative of 2*u**5 + 3*u**x - 2*u**4 - 4*u**5 + 2*u**4 wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11732716 and 3498?\nAnswer: 387179628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert 531 (base 8) to base 3.\nAnswer: 110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 5*i**2 + 5*i - 8. Let j(z) be the second derivative of -z**4\/3 - 2*z**3\/3 + 7*z**2\/2 + 11*z. What is -6*h(v) - 7*j(v)?\nAnswer: -2*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 509*i**3 - 2*i - 2 + 21*i**2 + 0*i**2 - 507*i**3 to the form h*i**2 + t*i + r + n*i**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -0.44, 0.19, -3, 5\/13 in descending order.\nAnswer: 5\/13, 0.19, -0.44, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 149\/768 and 143\/672?\nAnswer: 5376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((b**(-4\/15)*b*b*b)\/b)\/b*b)**(-2\/31))**20 assuming b is positive.\nAnswer: b**(-208\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -661*p + p**2 + 661*p + p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 104 = 4235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w**3 + w**2 - w - 1. Let i(b) = -5*b + 53. Let t be i(10). Let m(a) = -5*a**3 - 2*a**2 + 4*a + 3. What is t*k(o) + m(o)?\nAnswer: -2*o**3 + o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the second derivative of -55\/2*f**2 + 0 + 33*f + 1\/3*f**3. What is the derivative of p(z) wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -12 + 14. Solve -6*k = 2*v - s*k - 10, v - 4*k - 5 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**2\/i*i)**(3\/4))**(-39)\/((i*i**1*i*i*i)**(-35)\/((i\/i**(2\/9))\/(i*i*i\/i**(-3)))) assuming i is positive.\nAnswer: i**(2003\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -42 divided by -929.\nAnswer: 42\/929","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 4 (b) 2\/19 (c) 0.2 (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n\/(n**(-11)*n*n))*n)\/(n*n\/n**6))\/(n\/(n*n*n*n**(1\/14)*n)*n**(2\/7)) assuming n is positive.\nAnswer: n**(-17\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is next in -14322, -28744, -43172, -57606?\nAnswer: -72046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 168210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -474 + 44*b**3 - 473 + 947 - 1427*b**3.\nAnswer: -1383*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - j - 2*j = 20, 2*j = -k + 4. Suppose -5*r - 10 = 0, -k*t = -0*r + r - 18. Suppose -5 = -t*f, 2*f - 28 - 39 = -5*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f - 9 - 0. Solve f*b - 19 + 4 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -11 + 8 - 7*w**2 + 4*w**3 + 4*w + 7*w**2. Let z be t(1). Let n be (-2)\/z + (-10490)\/25. What is n rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 41 - 8*l - 27 - 14.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1732 + 0.05?\nAnswer: -1731.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 936 and 219600?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*m = 134553 - 134889 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 18*i. Let x(v) be the third derivative of 0 - 1\/24*v**4 + 0*v**3 - 9*v**2 + 0*v. Let h(s) = -o(s) - 36*x(s). Let q(u) = -2*u. Calculate q(h(m)).\nAnswer: -36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 96789 to the power of 1\/2, to the nearest integer?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 - 2. Let m = 3554\/403 + -587\/1209. What is r in -10\/3*r + m + 1\/3*r**d = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 2 = 66. Suppose -40*j = -z*j + 1332. Let a = -31 - j. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4\/6677? (a) 0.1 (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**3 - 34*n**2 + 82*n + 348. What is k(31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7587 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-10) - ((-19)\/(-285)*399 - 21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 4*m**2 - 13. Let b(i) = i**2 + 12*i + 31. Let a be b(-7). Calculate the remainder when r(a) is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-3*sqrt(132)*-2*-2)\/((sqrt(96) - (sqrt(96)*2*4 + sqrt(96)) - sqrt(96))\/(sqrt(80)\/(sqrt(10) + 1*sqrt(10)))).\nAnswer: -2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.095 times -0.216707\nAnswer: 0.020587165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + -3. Let q(a) = -a**3 + 4*a**2 - 3*a - 2. Let o be q(3). Is o < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 b, and 1 w when three letters picked without replacement from pxpxbbpabbwb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 1 - 9*h**2 + 4*h + 3*h**4 - 19*h + 8. Let x(d) = d**4 - 5*d**2 - 8*d + 5. Let a(k) = 5*t(k) - 9*x(k). What is the second derivative of a(b) wrt b?\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -3*b + 4, -2*b = -b. Let r be (l - (-14)\/(-4))*-2. Suppose v - r = -3. Sort 4, v, 3 in increasing order.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 666*v - 670*v - 8 = 4*q, 2*q - 5*v = 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: ((4*-3)\/(225\/30))\/(7*8\/4340)\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 86 + 11c4?\nAnswer: 127a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -476641608*a**4 - 588322047*a wrt a?\nAnswer: -5719699296*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 188598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 7*y**3 + 5*y**2 - 5. Suppose -4*p - 10*w = -6*w + 16, 2*w - 7 = p. Let c(x) = 6*x**3 + 4*x**2 - 4. Calculate p*c(v) + 4*k(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be 24180\/8*(-36)\/(-15). Let m = -654 + z. What is m rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/(-3)*-4*(-4365)\/1940.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:45 AM and 8:21 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 382*g**2*i**2 + 14*g**2*i*v + 2943*g**2*v + 13*g*i**2*v - 3*g*i**2 + 9*g*i*v - 2*g - 122*i + 2*v wrt g.\nAnswer: 764*i**2 + 28*i*v + 5886*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide -22525 by -492.\nAnswer: 22525\/492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6\/5, -10165, -5?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 15*c**2. Let n(f) = 7*f**2 - f - 7. Let u be n(-2). Suppose 5*p = -5*j + 15, -4*j - u = -p - 2*p. Let x(o) = -5*o + 2*o + p*o. Calculate x(z(i)).\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 12574 - -6119. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -52 - ((-18 - -33 - (14 + 5)) + -16)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p**2 - 174826170*p + 524478465 = 0. What is p?\nAnswer: 3, 34965231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j - j + 3*t + 132, j = 3*t + 24. Let y(x) = 3*x - 78. Let n be y(j). Solve 4*f + n + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 4\/15 of a hour?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve o + 28 = 6*o - d, -8 = 2*o + 2*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -10100 by 2525.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*t - 18*t - 3641. Let i = -330 - t. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of -c**3\/6 + 2*c. Let r(m) = -7*m - 3. Let x(p) = -6*l(p) + r(p). Differentiate x(u) wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -y**4\/7 + 837*y**3\/7 + 650856*y**2 - 18233980*y\/7 + 18237312\/7 = 0.\nAnswer: -1759, 2, 2592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is z in -5*z**2 + 145*z - 140 = 0?\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1308096357 to the nearest integer?\nAnswer: 1094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 57793580?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -747756864 divided by -7789134\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2415)\/20)\/(-21) - 7.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16\/7 in 1\/4, -43, 0.2, 24?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Does 436 divide 6477338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-12)\/(-14)*((-99)\/(-9) + 206) is divided by 38?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o**2\/4 - 183*o\/2 + 33489\/4 = 0 for o.\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -40baf6 (base 16) to base 5.\nAnswer: -2041222131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 2*z**3 - 10*z**2 - 7*z + 9. Let t(c) = c**3 - 121 - 135 - 2*c + 259 - 3*c**2. What is 2*p(g) - 7*t(g)?\nAnswer: -3*g**3 + g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 3*w + 10. Let f be t(-9). Let h = -15 - f. Solve 2*o + 8 = 0, -5*l - h*o - 24 = -o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 5*w**2 + 16*w + 18. Let k be i(-2). Solve 1 = -4*c + 3*p, -c + 2*p = k*p + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = 4*q**3 + q**2 - 23*q - 1. Let j = -22 - -23. Let u(y) = y**3 + y**2 - 1. Let k(t) = j*u(t) - l(t). Find the second derivative of k(s) wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 3:08 PM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 62081 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 5*f*s*u + 2*f*s + 2*f*u - 2061*s*u + 2*s wrt f?\nAnswer: 5*s*u + 2*s + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 + 0 + 1 - 0. Suppose 5*n + 3 = -2*y - 1, 4*y = -n + 10. Solve 5*p + l*z + 3*z = 9, y*p - 9 = -3*z for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 9:38 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 227481 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -8*l + 75. Is v(-25) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -i - 4*w + 1694, 0 = 75*w - 76*w + 5. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 3*i, -5*h - 70 = 1293*i - 1298*i for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.7 (b) 6 (c) -0.0904\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:22 AM and 2:39 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19225145 to the nearest integer?\nAnswer: 4385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Express -7175*h - 1775*h - 3867*h + 516*h - 3*h - 2*h + 6*h + (0 - 2 - 2)*(2*h + 1 - 1) as p + c*h and give c.\nAnswer: -12308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/976? (a) 3 (b) 1 (c) 28\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor f**3\/9 - 117404*f**2\/9 - 704455*f\/9 - 587050\/9.\nAnswer: (f - 117410)*(f + 1)*(f + 5)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 155197?\nAnswer: 7, 22171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 20138356 to the power of 1\/2, to the nearest integer?\nAnswer: 4488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5522213ml to litres.\nAnswer: 0.0005522213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 9) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 7*v - 83 = -3*v, -143*d + 138*d - 3*v = 131 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/24 and -71\/138.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -131\/22182 and -97\/1200?\nAnswer: 4436400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 3*x - 90. Let c be r(30). Put 3, c, -6, -5 in ascending order.\nAnswer: -6, -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = r**2 + 2*r - 11. Let c be b(-7). What is the smallest common multiple of 10 and 3\/c*4*76?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - -4. Suppose f*u = 27 + 25. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 58 - 55.1. Let x = 189\/8 + -551\/24. Which is the nearest to d? (a) 0.3 (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -176*g + 937*g = -19669 - 59475 for g.\nAnswer: -104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 5*t**3 + t - 1. Let a be y(1). Let f(r) = -2*r + 11. Let h be f(a). Which is bigger: -2\/9 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(3\/2)\/(m**(-13)\/m*m)*(m**(-1))**(-13\/3) assuming m is positive.\nAnswer: m**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = 5*z + 2, -2*w + 2 = 5*z - 0*z. Let n = -16 - z. Let c = 26 + n. What is the lowest common multiple of c and 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-59 - -38) + 82 + (-2 - 7) + -1.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 - 3) + (9 - 1). Suppose -s*b + 168 = -0*b. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 6 + 0)*(3*l**5 + 4*l - 4*l).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence coch when four letters picked without replacement from {c: 1, h: 6, o: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1318 + -1317.75. Sort 9, a, -5 in decreasing order.\nAnswer: 9, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {n: 7, t: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = -55\/3 - -18. Let l = 0.063 - 0.453. Let y = -0.29 - l. Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39\/1365 + (-6)\/10.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1683622 - -1683625.439908. Let p = s + -3.44. What is p rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -2*p - 25648, -11*p = c - 12*p - 8548. List the prime factors of c.\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 291341 divided by -487.\nAnswer: -291341\/487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = 3*k + 5*m, -4*k = -3*m - 5 - 16. Let t = k - -2. Solve t*c - 3*c = 5*h, 2*c = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:10 AM and 10:49 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (10*r + 33 - 33)*(-2*r - 9 + 0 - 3) as t*r + p + y*r**2 and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3504949875.\nAnswer: 3, 5, 7, 23, 37, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14, 20, 30, 44, 62, 84, 110?\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 164490416?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3957, 7248, 9661, 11190, 11829, 11572, 10413?\nAnswer: 8346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 - (-11 + (35 - 17 - -22)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 915354943.\nAnswer: 23, 89, 239, 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:49 AM and 11:15 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2466376611?\nAnswer: 3, 97, 8475521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(1900) + -3)**2.\nAnswer: -20*sqrt(19) + 1901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -14*a*g**3*p + 5*a*g*p**2*q - 3014*a*g*p*q - 2*a - 79*g**3*p**2 - 2*g**3*p - g**3*q + g**2 wrt q?\nAnswer: 5*a*g*p**2 - 3014*a*g*p - g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18 and 384?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -10764194 less than or equal to -10764180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 4*q - t - 2896, 0 = 4*q - 3*t - 2901. Let o = q - 395. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 98 = 5*b. Let h(k) = k**2 - 15*k + 18. Let o be h(b). Solve 3*n + 10 = -o*x, 5 = -x - 2*x - n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 9\/(-2 + (5 - 2)). Suppose -k = -3 - 0. Let n = 11 + -8. Solve -n*q + j = k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 122764 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = 368867 - 368836. Suppose 0 = -7*b + 4*b + 27. What is the remainder when w is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 14 - 6111?\nAnswer: -6064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13*(-1350)\/1560)\/(6*(-1)\/40).\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 2209565.394.\nAnswer: 2209568.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -12022021 (base 3) to base 15\nAnswer: -122d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((z\/z**(-8))\/z)\/(z*z**11))\/((z*z\/(z*z**2))\/(z\/((z*z**6)\/z))))**(-13) assuming z is positive.\nAnswer: z**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 18176126197 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -0.1, -5, -6\/5 in increasing order.\nAnswer: -5, -6\/5, -2\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1283*o - 841 - 4020 - 2143 with respect to o.\nAnswer: -1283","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13 at least 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15435994.\nAnswer: 2, 7, 1102571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n = 3 - 0. Let m(g) = 21*g**3 - 11*g + 7. Let o(s) = -10*s**3 + 5*s - 3. Let w(c) = 4*m(c) + 9*o(c). Give w(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -26 - -16. Let l = k + 10. Suppose l = 2*b - 0*b - 8. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -73\/4 + 19. Let p = -179.9 - 1029.1. Let n = -1209.2 - p. Which is the third smallest value? (a) o (b) 6 (c) n (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2 (b) -5 (c) -146\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 65 + -51. Let f be (-8)\/12*6 + l. Let t(i) = -5*i + 38. Let q be t(7). Solve -f = -a + 5*u, 3*a + 6 = 5*a - q*u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*c + 0 - 71 = -3*b + 1, -3*b = -4*c + 45 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*n - 292 - 8652 = 0. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 4*v**2 - 13*v. Suppose 5*p - 26 = 3*j, -2*p + 4*j - 4 + 6 = 0. Calculate the remainder when l(p) is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*n**2\/5 + 882104*n\/5 - 48631716676\/5.\nAnswer: -4*(n - 110263)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8\/12071 at least -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 6*x**3 - 1. Suppose 4*z + 5*c - 9 = 0, 2*c = -5*z + 5*c + 2. Let j be y(z). Let i(v) = v**2 - v - 1. Is i(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -40 - -43. Is (-2 - 0)\/(p*(-2)\/15) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1443*v**2 + 4266*v**2 - 1440*v**2 - 1416*v**2.\nAnswer: -33*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1023111441 to the power of 1\/4, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = w**2 + 7*w - 10. Calculate f(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, e: 3}. What is prob of sequence oe?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1278123?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -2*d**2. Let u = 2413 - 2406. Let j(i) be the third derivative of -11\/15*i**5 + u*i**2 + 0*i + 0*i**4 + 0*i**3 + 0. Determine z(j(f)).\nAnswer: -3872*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 101*j - 804. Let g be f(8). Factor -1\/2*w**g + 0*w**2 + 0 + 1\/2*w**3 + 0*w.\nAnswer: -w**3*(w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (-18 + 8 - -30) + -10?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4339\/275 + -174\/11. Let r = -4 + 40. Let k = 36 - r. Which is greater: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q + 6 + 4 = 0. Let m(y) = 6*y**2 + y. What is the remainder when m(q) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 3 = 2*i - 5*i, 0 = f - 2*i - 4. Suppose 4*z - f*z = -6342. Calculate the common denominator of 4\/(-10) - z\/(-910) and 41\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 115*l**2 + 2*l - 145320. Let o be z(0). What is o rounded to the nearest 1000?\nAnswer: -145000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -3 + 2.8. Let r be (-1)\/2 + 5\/6. Put 3, r, c in increasing order.\nAnswer: c, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the second derivative of -c**6\/90 + 617*c**5\/60 - 154*c**4\/9 + 19*c - 115. Factor v(t).\nAnswer: -t**2*(t - 616)*(t - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-2 + -4*(sqrt(1573) - (1*sqrt(1573) + sqrt(1573))) + -3 + 2 + sqrt(1573) + sqrt(1573) + sqrt(1573))*1)**2.\nAnswer: -4158*sqrt(13) + 693774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -26*d**3 - 4*d**2 + 3*d + 23. What is o(-2)?\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than or equal to 1208\/1243?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose q + 10902 = -45*s + 46*s, 5*s + q - 54528 = 0. Does 17 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + 15 - (0 + -4 + 8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 481129 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 10443414 (base 5) to base 11\nAnswer: 6436a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 813 and 6504?\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 - 41 + 3*y + 10 + 0 to w + h*y and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 5*v = -2, 6 = 2*s + 5*v - 4*v. Let 0 + 1\/5*z**5 + 0*z**s - 1\/5*z**4 + 0*z + 0*z**3 = 0. Calculate z.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (5 - 4 - (2 - -5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 5*b - 45 = 0. Let a = b - -97. What is the remainder when a is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4*427\nAnswer: -170.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - ((-4 - 1) + 4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*o + o + 16. Is 2\/(-8) + (-57)\/o a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1879, 1830, 1587, 1054, 135, -1266, -3245, -5898?\nAnswer: -9321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.3 (b) 3 (c) 0.386 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 536359, 536063, 535769, 535477, 535187, 534899, 534613?\nAnswer: 534329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.03 + 2. Let w = -0.13 - d. Which is the nearest to w? (a) -5 (b) 0.3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + 8*p = 7*p + 3, 3*m = -5*p + 15. Sort -6, 13, 3, m in ascending order.\nAnswer: -6, m, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.28723 - 0.08723. Which is the biggest value? (a) 0.16 (b) g (c) -22 (d) 4 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 173477387 to the power of 1\/2, to the nearest integer?\nAnswer: 13171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z + o = 5, 3*z - 41*o - 89*o + 459 = 22*o for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (2*z**2 - 4*z**2 - z**2)*(-6064*z + 6064*z - 54*z**2) as j*z + b*z**4 + g*z**2 + m*z**3 + u and give b.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 31*a**2 - 2617*a - 7848. Determine s(-3).\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = -3*r + 51. Suppose -4*z + 52 = -3*n, -n - 4*z + 6*z = r. Let y(v) = v**2 + 22*v - 2. Calculate the smallest common multiple of 14 and y(n).\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 8*d - 7 + 11*d - 9*d - d**3 + 7*d**2. Suppose 0 = u, 3*r + u - 2*u - 24 = 0. What are the prime factors of a(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -2*i**2. Let c(q) be the first derivative of -11 - 23 - 12*q**2 + 7. What is c(v(g))?\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 1963 (base 15) to base 7.\nAnswer: 22005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -25*f - 2 + 2*f + 4*f + 18 + 7*f - f**2. Let o(k) = 2*k. Let s(m) = a(m) + 6*o(m). What is s(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 131.366? (a) 2 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/14 - 28116\/(-44730).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -112010220 (base 3) to base 9.\nAnswer: -15126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -24283 less than or equal to -24284?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-48)\/(-26) + 816\/5304. Let w(t) = t**3 - 2*t**2 - 3*t. Let d be w(3). Solve 6 = -d*y - b*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 4 - -339?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m**(-6)*m))\/m**(8\/9))\/(m\/m**4)**(1\/13) assuming m is positive.\nAnswer: m**(625\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -39*g + 41 = -154 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 4 + 2 + 147 + -152.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 575689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sffms. What is prob of picking 1 s and 1 m?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = 12 + -8. Suppose 3*b = b + n. Solve 3*s - b*j + 13 = 0, 3*j - 27 = 2*s - 2*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2223 - 186731\/84. Let h(b) be the third derivative of -2\/21*b**7 + 0 + 0*b + 1\/3*b**6 + q*b**8 - 2\/3*b**3 + 5\/6*b**4 - 2\/3*b**5 - 5*b**2. Factor h(n).\nAnswer: 4*(n - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 4\/16029?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 28842 and 42826.\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 57623319 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 137519, 274988, 412457, 549926?\n\"Answer: 137469*u + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 6 + 6 + 31 + 0 - 49*h as a + b*h and give a.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 3*t = -5, -13*n + 9*n + 10 = 8*t + 19 + 11 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.012 - -69.988. Let v = -71 + q. Let m = 171 + -1537\/9. Put v, -2\/3, -4, m in ascending order.\nAnswer: -4, v, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 9653479 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = -4*k - 239, 3*n - n = k + 53. Let o = k + 156. Let p = o + -32. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ia when two letters picked without replacement from {q: 2, a: 6, i: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -43 - -42.768. Let k = -2.232 - d. Put -0.4, k, -20 in ascending order.\nAnswer: -20, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -42 + 159. Let m be s\/12 + 4\/(-16). Suppose m*w - 680000 = 4*w. What is w rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) be the third derivative of 2\/3*q**3 + 3*q + 1\/6*q**4 + 3*q**2 + 0 - 1\/60*q**6 - 1\/12*q**5. Give f(-4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bgw when three letters picked without replacement from wssgwhhhwbbrbbbbsbb.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -8, 3, 7, -3\/20, -521?\nAnswer: -521","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wwauwuuuunnuah. Give prob of picking 1 a, 1 w, 1 n, and 1 u.\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n - 8099 = -4*i + 4836, -i = 5. What is the remainder when n is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 282994993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 102 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 752, 648, 558, 488, 444, 432, 458, 528?\nAnswer: 648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 265861 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -45706 (base 15) to base 9.\nAnswer: -366076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -1.26627 and -0.08?\nAnswer: 1.18627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-68)\/12 - (-4)\/6. Let l(p) = -p**2 - 8*p + 3. Let d be l(t). Suppose -47 = -7*w + 65. Which is greater: w or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 126\/107 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 11:20 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*p = -4*p. Is ((-4)\/5)\/(p + (-8)\/11140) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*m + 4 = -21*m. Suppose -m*q + 3*n + 96 = -q, 3*n - 156 = -4*q. Suppose 3*s - 102 = -u - q, -54 = -2*s - 4*u. What are the prime factors of s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-12 + 14 + 12)*(-2*m**2 + 176*m - 176*m) in the form x*m**2 + n + d*m and give x.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -6? (a) 20\/27 (b) 0.02 (c) -138.85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*n - 14*n = -112. Let k(t) = t**3 + 8*t**2 + 7*t - 4. Determine k(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 - (-15 - -7 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply -12266 and -5.\nAnswer: 61330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 223.32187042683508 + -2706654671.32185172683508. Let a = -2706654293 - w. Let y = 155 - a. What is y rounded to six decimal places?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10 - 32. Let c(z) = z + 11. Let w(t) = -1. Let o(g) = y*w(g) - 2*c(g). Let p(r) be the first derivative of -3*r**2 - 1. Give p(o(s)).\nAnswer: 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bcmncmbmbccbcnbcbz. Give prob of picking 1 n and 3 m.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 24240258?\nAnswer: 2, 3, 7, 192383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (2*(sqrt(68) + 1*sqrt(68)))\/(sqrt(4) + sqrt(16)\/sqrt(4)*-4 + sqrt(4) - sqrt(4)).\nAnswer: -4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = -2*c + 30, -c + 2 - 7 = 0. What is the smallest common multiple of 6 and v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4.457 - -9.457. Which is the nearest to w? (a) -4\/7 (b) 2 (c) 0.1 (d) -1\/53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:25 AM and 8:08 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -263 - d - d**3 - 3*d + d + 256 - 5*d**2. Suppose -9 = 3*x + 6. What is the remainder when 14 is divided by y(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*b + 3 = n, -4*b + 1556 = 5*n + 1541 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -5*p**3 + 240*p - 11290 + 11290 in the form w*p + x*p**2 + g + q*p**3 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v = -835*t + 837*t - 4, -t + 6 = 3*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 3, -4, -3 in descending order.\nAnswer: 3, -0.1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.8 - 1. Put 6\/5, -2\/5, f in descending order.\nAnswer: 6\/5, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 + -6 - (4 + -11)) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1))**45)**(5\/7)\/(((z*z\/((z\/z**2)\/z))\/z**(1\/5))\/(z**(2\/5))**26) assuming z is positive.\nAnswer: z**(-894\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-42)\/(-8) + 1\/(-4). Suppose r + 5*w = 17, 0 = -t*r + 4*r + 3*w - 15. Which is the smallest value? (a) -1\/3 (b) r (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1076408 at least as big as 1076457?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7175848 and 12524.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 939 (base 16) to base 11\nAnswer: 1857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 32 + 12 = 0. Put -1, 5, f, -3 in decreasing order.\nAnswer: 5, f, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + 4*c - 78, 4*c = 4*y + c - 134. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = d. Let t(h) = 24*h. Let b(k) = 42*l(k) - 2*t(k). Let j(a) = a. Give j(b(q)).\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 5*k**3 - 2*k**2 - 2*k + 2. What is the lowest common multiple of j(2) and 22?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 146 - 26 = 4*i, -i - 298 = 5*q. Let k be (27*2)\/(-3 - (-85)\/30). Let n be (-2)\/5 + k\/q. Sort 3, 4, n in decreasing order.\nAnswer: n, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3131567845 to the nearest integer?\nAnswer: 1463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9141 - -201143\/22. Suppose -23*b + 25461 = 8349. What is the common denominator of (b\/(-72))\/(14\/3) and v?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3829\/46 - -1880\/23. Sort d, -2, -3, -4, 0.4 in descending order.\nAnswer: 0.4, d, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aoyis. What is prob of sequence oy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2143\/97 + -2858\/485. Factor 3\/5*m**3 + 81\/5*m + 27\/5*m**2 + n.\nAnswer: 3*(m + 3)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3158 is divided by -218*((-93)\/6 - -15)?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 181317648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 4, k: 5, b: 2}. What is prob of sequence lbl?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -16 + 28. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -110317\/9 + 12258. Which is bigger: 2\/33 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -766?\nAnswer: 5\/766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.0336? (a) -0.1 (b) -3\/7 (c) -8\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12936 and 1512?\nAnswer: 116424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 2\/5 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3175, 12667, 28449, 50515, 78859, 113475, 154357?\nAnswer: 201499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 + 2. Calculate the lowest common multiple of 6\/(12\/4) + u and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -161\/793 + 3\/61. Put d, 0.2, -2\/5, 0.1 in descending order.\nAnswer: 0.2, 0.1, d, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) be the second derivative of -w**7\/42 + 2*w**6\/15 + 8*w**3 + w**2\/2 + 47*w. What is the second derivative of h(l) wrt l?\nAnswer: -20*l**3 + 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 70335 is divided by 496?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2.16662 + -1858.\nAnswer: -1860.16662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = 4*f, 19 + 17 = 6*i + 4*f for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) be the first derivative of -3*p**4\/2 - p**3 + 45*p**2\/16 + 27*p\/8 - 8. Solve m(c) = 0 for c.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*p = -3970 + 940. Does 30 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 748484914 to the nearest integer?\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 135 (c) 1\/3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 226843 to the nearest integer?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -110*k**3*n**3*y**2 - 244*k**3*n*y**2 - 2*k**3*y**2 - 3*k**3*y - 777613*k*n**3 + 3*k*n**2*y**2 + 4342*k + n**2 wrt n?\nAnswer: -660*k**3*y**2 - 4665678*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 302483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u*(u\/(u**(-3)\/u*u*u))\/u*u)\/(u*u*u\/(u*u**(-1))))**43*(u*u**(-1))**(13\/3)\/(u\/(u*u*u\/(u**1*u*u*u*u*u)*u*u))**(-11) assuming u is positive.\nAnswer: u**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -138632 by 3224.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**2 + 2*v - 13. Suppose 7*f + 8 = 5*f. Let g be b(f). What is the units digit of 38\/95 + (1 - 163\/g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4034 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: Simplify t\/t**(2\/17)*t**36 assuming t is positive.\nAnswer: t**(627\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 103 + -98. Suppose -2*a = t - 128, g*a + 123 = t + 2*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 i(v) = -v - 1. Let u(p) = -p**2 + p - 6. Let g(s) = 3*i(s) - u(s). Let r be g(3). Solve 0*m + m + 4 = r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 39004 - 39004.7. What is the closest to 20 in l, -1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 8*p*x**3*y - 41*p*x**3 + 3*x**3*y + 2*x**3 - 2*x wrt p.\nAnswer: 8*x**3*y - 41*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 726*n**5 - 97790*n**4 + 2544676*n**3 - 17840584*n**2 - 13053808*n = 0.\nAnswer: -2\/3, 0, 178\/11, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6.68 - -7. Let q = o - -0.08. Which is the smallest value? (a) q (b) 0.3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 - (2 + -8) - (-3 - -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -85\/418 and 4\/(-34) + (-1164)\/2244.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 21 + -13. Suppose 0*c = -2*u - 4*c - d, 3*c + 12 = 0. Suppose h = t - 1 - u, 0 = 4*t + 2*h - 50. Calculate the remainder when t is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.6 in 0.4, -1\/10, -14?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 21 or -1.4412?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-10434)\/(-1850))\/((-36)\/(-300)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 92 = 14*j + 36. Let b(h) = 14 - j + 512*h - 513*h. Calculate b(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 663664657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -4*b**3 + 3*b**2 + 254*b. Let o(z) = -5*z**3 + 4*z**2 + 257*z. Calculate -4*d(h) + 3*o(h).\nAnswer: h**3 - 245*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 9 + -5. Suppose 34 = l - h - p*h, 5*l + h = 40. Suppose -u + l = -42. List the prime factors of u.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**3 + 45*v**2 + 16*v - 1102. Let u be b(-44). Calculate the highest common factor of u and 2665.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*c**4 - 9*c**3 = 0 for c.\nAnswer: 0, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 221319 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**2 - 21*l - 45. Let a be h(-2). Let x(u) = u**3 + 15*u**3 + u**2 + 17*u**3. What is the remainder when x(a) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 433\/329 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -200*z**3 + 4*z**2 + 4*z - 12. Let y(a) = -3199*a**3 + 63*a**2 + 63*a - 189. Give 63*d(m) - 4*y(m).\nAnswer: 196*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 934442, 1868760, 2803078, 3737396, 4671714, 5606032?\nAnswer: 6540350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -5*g + 8320, 3*l - 2347 - 992 = -2*g. What are the prime factors of g?\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*b + 806 = -706. What is the remainder when b is divided by 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - -2 - ((-6 - -4) + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 7\/2 - 1\/2. Suppose u + 56 = t*u. Suppose 5*a = -u + 73. Solve 5*r + 0*q = -q - a, 0 = -2*r - 5*q - 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 282 (base 16) to base 8.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 168 - 59. Suppose -9*s - n = 89. Do -21 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4, 0.1, 4, 2\/33, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -28*k**2 + 3*k + 8. Give i(-3).\nAnswer: -253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 762262428?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + 5 + (-1 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -30.5 + 31. What is the closest to 1 in o, 1\/8, -0.5, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:55 PM and 5:25 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ellpplpllepeepll.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the second derivative of w**8\/3360 - w**7\/840 - w**4\/4 - 6*w. Let y(k) be the third derivative of x(k). What is the third derivative of y(p) wrt p?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 642133402 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -203002 + -11221?\nAnswer: -220223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 15167655?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*x - 3*x - 3*x)*(-17 + 6 - 4) + 0 - x + 0 - 1 - 2*x + 1 - 10*x + 8*x + 2 - 2*x.\nAnswer: 23*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.04803 - -624.35197. Round t to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 2*g**2. Let j(p) = -1 - 843342*p**2 + 1 + 846481*p**2. Determine j(v(w)).\nAnswer: 12556*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = -0*k - 2*x + 457, -5*x = 4*k - 614. Let s(f) = 0 + 143*f**2 - k*f**2 + 0. Let h(u) = -6*u**2. What is h(s(z))?\nAnswer: -384*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -h**3 - 3*h**2 - 3*h - 2. Let i(l) = l + 12. Let p be i(-8). Suppose 0*k = -p*k - 12. Let c be w(k). Calculate the highest common factor of 77 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 35226.92 + -35227. Let u = 0 + -0.2. Which is the smallest value? (a) 1\/2 (b) -4\/9 (c) g (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -53cd5c (base 15) to base 6\nAnswer: -221322410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 18 - ((-29 - -20) + 1)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*w**2 + 5 - 5 + (-6*w - w + 4*w)*(-15*w + 65*w + 8*w))*(5 - 14 - 1) to j*w + g + z*w**2 and give z.\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/10? (a) -1\/5 (b) 0.055 (c) -7.7 (d) -1\/19 (e) -4 (f) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.04 - -7677.786.\nAnswer: 7677.746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/27 and 8\/27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(91)*-3)\/sqrt(7)*-4 + (sqrt(117) - (sqrt(117) - -3*(sqrt(117) - 1*sqrt(117))))\/sqrt(9).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 31.99532 weeks in hours?\nAnswer: 5375.21376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/6)\/(-7 + 445\/60).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -451, 17, -2, -3.3, 0 in decreasing order.\nAnswer: 17, 0, -2, -3.3, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (9 + 170\/(-18))*-9. Solve h*v - 12 - 4 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(704) - sqrt(704)*2*1)*3 + -2 + (sqrt(11)*2*6 - sqrt(11)) + ((sqrt(176) - sqrt(11))*5 - sqrt(11)))**2.\nAnswer: -4*sqrt(11) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -81638323 to the nearest one million.\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 704659313.\nAnswer: 29, 97, 250501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 1015 * -0.22.\nAnswer: -223.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 46*b**3 - 13863*b**2 - 16211511*b wrt b?\nAnswer: 276*b - 27726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*c - 33*c + 91 = 0. Let j(s) = s**2 + 17*s + 52. Let k be j(c). Let p(i) = i**2 - 2*i. Let d be p(3). Solve k*y + d*x = -y + 1, -4*y - 2*x = 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -6*c**3 - 2*c**2 - 13*c - 14. Is 56 a factor of w(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 983 - ((1 - -3) + -4)?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25627 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 4*v - 2*v - k, -18 = -v + 2*k. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*(10\/(-14) + (-92)\/322).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 - (-2 - 7 - (-17 + 24))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p**3 + 34*p**2 + 60*p + 3. Give r(-32).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - -ba?\nAnswer: b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 2983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -1\/5, 6, -1, 105, 12 in increasing order.\nAnswer: -1, -1\/5, 0, 6, 12, 105","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -109006, -109012, -109018, -109024, -109030?\n\"Answer: -6*j - 109000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 12*s - 1. Let l be r(2). Let t = l + -11. Solve -t = 5*b - 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 5 + 6)*(0*o - 4*o**2 + o + o**2).\nAnswer: 3*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -35*(16\/48)\/((-7)\/15)*1\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -21854862 to the nearest one million.\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**6\/(q\/q**(18\/5)*q*q) assuming q is positive.\nAnswer: q**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**3 + 14*l**2 - 13*l - 7. Let m be b(13). Let n(v) = 2*v**2 - 7*v + 3. Does 15 divide n(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 23\/(-20) + (-5)\/(120\/(-18)). Suppose -3*q - 5*h = -6, -4*q - 1 = -5*q - 2*h. Sort q, z, 2\/3 in increasing order.\nAnswer: z, 2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 13) in base 14?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -26 - 3096aa?\nAnswer: -309714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(6\/7))\/(b**(5\/13)*b) assuming b is positive.\nAnswer: b**(43\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 7542, 7543, 7544?\n\"Answer: h + 7541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 - 6 = -4*o. Suppose 3*j = 3*x + 33, -3*x = -o*j - x + 33. Let g(h) = 43*h**2. What is the remainder when g(-1) is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d = -2*w - 22, -3*d - 26 = 207*w - 205*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 35120?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-45)\/420)\/(176\/231*3\/(-4))?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.8234 - -3.7376. What is m rounded to 1 decimal place?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1467?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (0 + 3 - 4)*(5*m - 3*m - 4*m) + 2*m - 10*m + 2*m + (-2*m + 5*m - 2*m)*(3 - 2 + 0) - 3 + 3 - m in the form j*m + a and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5922873kg in micrograms?\nAnswer: 592287300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 625 and 2125?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in -3\/7, -18, -3, 36?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = -978 + 1461. Suppose 0 = -2*l + 277 + n. Suppose -8*t = -3*t - l. What is the highest common divisor of t and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 24 (b) 4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*u = -12*u + 1229. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7406 is divided by 617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:17 AM and 3:13 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(1700) - (-1 + sqrt(1700))))**2 - ((sqrt(204) + sqrt(204)*-2)\/sqrt(12) - (sqrt(68) - (0 + sqrt(68)))).\nAnswer: sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1103197 is divided by 551598.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -10240*r**2 + 3*r**3 + 332 + 10239*r**2 + 0*r**3 as f + i*r + b*r**2 + d*r**3 and give f.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + 5*sqrt(11) + 5)**2*-1.\nAnswer: -339 - 80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 3 = 594\/191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d**3 + 4*d**2 + 5*d + 7. Let o = -64 + 58. Let r be -5*(4 + o)\/2. Let l be u(r). Solve 3*x + 4*v = -5, 6*x = 4*x + v - l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (232 - 234) + 14\/5.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 5*g - 4. Let o(z) = 4. Let h(k) = -9. Let j(r) = 1. Let l(f) = 4*h(f) + 33*j(f). Let v(d) = -7*l(d) - 5*o(d). Determine 4*v(u) + w(u).\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34 = -0*m + m. Let y = 51 - m. Suppose 3*i = -0*i + 255. Calculate the greatest common divisor of y and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:42 AM and 6:51 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*m**2 + 888 + 3*m**2 - 5240*m - 887.\nAnswer: 3*m**2 - 5240*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -6*(sqrt(98) + sqrt(98)*-1)**2 + -1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1501785 is divided by 4303.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the third derivative of -7*f**4\/8 + 28*f**3\/3 - 61*f**2. What is the derivative of o(t) wrt t?\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (76\/(-8))\/(4\/(-16)). Suppose p + 4*i - 63 = 0, 2*p = -5*i + 155 - k. Is 17 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1960008994?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z + 82 + 38. Is z smaller than 60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4694 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 6*x**2 + x**2 - 4.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 30787?\nAnswer: 17, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 971126999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*m = 2*m + 48. What is the remainder when 42 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 16 + 44. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor p**2\/3 - 4024808*p\/3 + 4049769859216\/3.\nAnswer: (p - 2012404)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/4*7\/(-45 + 3)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + -104)*22\/(-20 + -68).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + (-10 - 6) - -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -93.1 smaller than -10\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**2 + 4*a - 6. Let t be f(-5). Suppose 13*y + 127 + 29 = 0. Let x = 16 + y. Sort t, 3, x in increasing order.\nAnswer: t, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 61465 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -97*n + 92*n + d + 2639, 4*n = -5*d + 2117. What is the highest common divisor of n and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 59917904 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4823135 is divided by 731?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -6*f - 3. Let d be l(4). Let c = 62 + d. Suppose -2*j + 5*j - c = -t, -16 = -2*j + 3*t. Does 5 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:21 PM and 7:17 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 149*g = 172*g - 311 + 81 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78095?\nAnswer: 5, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zpffwpfrfzpppfppzw. What is prob of picking 1 r, 1 z, and 2 w?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the third derivative of l**7\/280 + l**6\/32 + l**5\/10 + l**4\/8 - 2005*l**2. Factor u(j).\nAnswer: 3*j*(j + 1)*(j + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-3 + 5 + (sqrt(35)*1)\/sqrt(5) + ((sqrt(105)\/sqrt(3) - sqrt(35))\/sqrt(5) - (-1 + sqrt(7))*1))**2*1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 73 - 81. List the prime factors of (-3)\/(-2) - 940\/x.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 29*u**4 - 70 wrt u?\nAnswer: 116*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 195 minutes before 5:01 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*d**3 + 8*d**3 - 147*d + 145*d.\nAnswer: 11*d**3 - 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 20 = 5*h. Let o = h - 4. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1270 + 1270.4. Let i(p) = 3*p**2 - p - 1. Let d be i(-1). Which is the closest to -0.2? (a) d (b) t (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**3 + g**2 - 28*g + 1. Let c(s) = -87*s**3 + 4*s**2 - 137*s + 6. Give c(z) - 5*r(z).\nAnswer: -92*z**3 - z**2 + 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 108 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = u - 2. Let x be y(7). Let h(s) = 18*s + 1. Is h(x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 - ((-1 - 4) + 10 + -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iimmii?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k be 240\/(-560) - ((-62)\/7)\/2. Let j be 643\/2 - (-2)\/4. Suppose -q - 2*v + 416 = k*q, -4*q = -2*v - j. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.98 - 70.82. Let g = -73 - q. Which is smaller: g or 6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 1, 6, 11467, -2 in descending order.\nAnswer: 11467, 6, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*y + 5*j - 4, -4*y - 8*j + 20 = -4*j. Solve 0 = y*v - 2 + 5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 756 divided by 4?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 113027398 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 712, 1, -2, 15263.\nAnswer: -2, 1, 712, 15263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6*(-4)\/20)\/((32\/5)\/4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 10*y**2 - 2. Suppose -16 = -5*d + 37*t - 35*t, 5*t = d + 6. Let m(l) = -159*l**2 + 33. Determine d*m(n) + 66*u(n).\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 417, 420, 425, 432, 441, 452, 465?\n\"Answer: t**2 + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -364\/5 + 73. Let l = -8 - -3. What is the nearest to 0.3 in l, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z + 2*z + 3 + 1 + 2*z. Let c(u) = 4*u + 3. Let p(j) = 4*c(j) - 5*f(j). What is p(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -r**3 - 3*r**2 + 4*r + 6. Let v = -14 - -10. Let a be b(v). Suppose 0 = 2*i + 2 - a. What is the highest common factor of 2 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 20 + -13. Solve 1 = -4*a - y + 4, -3*y - j = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -20566 divided by -2\nAnswer: 10283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -39 + 78. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -7848 - -10788. Does 98 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m*m**(-1\/3)\/m*m)**(-2\/45)\/(m\/((m\/(m*(m\/(m\/(m*m**8)*m))\/m))\/m)*m*m**(-1\/3)))**(11\/2) assuming m is positive.\nAnswer: m**(-2893\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2998 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(343) - -1*-3*sqrt(343))*-2 - (sqrt(672)\/sqrt(6) + ((sqrt(7) + -1)*-6 - sqrt(7)))*2)**2.\nAnswer: -3264*sqrt(7) + 32944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -102220 (base 3) to base 4\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -30*b - 74 + 9*b + 23*b in the form m + w*b and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 2 f when three letters picked without replacement from mmgmffm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 339457557?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 27\/154592 and 9\/772960.\nAnswer: 772960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2934 - 990. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -9 (b) 3 (c) 0.08 (d) -3 (e) -0.98 (f) -2\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 8*g**2. Let t(l) = 18*l**2. Give t(x(o)).\nAnswer: 1152*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49*i - 17*i - 24*i.\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 96 and 2848?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is n in 3*n**4 - 126*n**3 + 465*n**2 - 342*n = 0?\nAnswer: 0, 1, 3, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1\/(4\/(-1520)*-2). Let m = o - 111. What are the prime factors of m?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 15c (base 14) to base 4\nAnswer: 10112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2\/15 - 20354*d\/5 - 61068\/5.\nAnswer: 2*(d - 30534)*(d + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-20 - (-1270)\/60) + (-566)\/12 + 5?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to -1\/329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 5*t, 4*l - 3*t = 6*t - 4 - 8 - 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*q = -y - 31, y + 163*q - 15 = 2*y + 167*q for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**3 + 7*b**2 - 9*b + 18. What is the remainder when x(5) is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.4 (b) -8 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 19*i + 1353. Let b(v) = 9*v + 623. Let d(o) = 13*b(o) - 6*j(o). Let u(q) = 3*q - 6. What is u(d(m))?\nAnswer: 9*m - 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -59537.4 - -59545.58269. Let q = h + -846.58969. Let j = 838 + q. Round j to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 0.5401664um?\nAnswer: 0.0000000005401664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.11 - -4.11. Let s = -3.8 + u. Let k = -37 - -187\/5. Which is the third biggest value? (a) 1\/7 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 862.8 - 863. What is the nearest to g in -5, 0.1, 5, 9?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 1\/1799 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -112210000 to the nearest 1000000.\nAnswer: -112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be 3445\/13*(-1)\/(-5). Let c = -47 + o. Suppose k = 473 + c. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 13274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be (0 - (3 - 9))*(-3)\/(-18). Let v(r) = 4*r**3 + 2*r**2 - 4*r + 1. Let p be v(j). Solve -2*b + 2*l = -6*b + 20, p*b + 2*l - 17 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.13 - -0.07. Let u = -0.46 - l. Let y = -0.150019 - -3.150019. What is the nearest to 0.1 in y, 2\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -2884, -26191, -90312, -215653, -422620, -731619, -1163056?\n\"Answer: -3401*c**3 - c**2 + 503*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ezzzezzzzlrlzeeerz. Give prob of sequence rr.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 - 9*p**2 - 6*p + 2. Let d be q(-7). What is the units digit of 40\/6 - 18\/d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 21*u - 17. Let o(y) = 11*y - 9. Let p(h) = 6*i(h) - 11*o(h). What is p(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r + 6 - 15 = 0. Solve g = -2*g + r for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(-8))\/(3\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-eight fifths of a millennium in centuries?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-5)\/(-10))\/((-2)\/(-4)). Let y be p - (-4 + (-194)\/(-38)). Let g = 11\/76 - y. Which is the third biggest value? (a) g (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -631*w - 10*w**2 - 2 + 2*w**2 + 630*w - 48*w**2 as u + r*w**2 + z*w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) be the third derivative of 1\/12*f**4 + 0*f**3 + 0*f**5 + 0 + 0*f - 1\/40*f**6 + 3*f**2. Find the second derivative of b(t) wrt t.\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/(-6)*(-12)\/21. Which is the nearest to f? (a) -2\/9 (b) -0.3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 13871 + -13830. Solve 0 = a*u - 80 + 244 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 636 and 149672.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -132320 (base 4) in base 10?\nAnswer: -1976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23269\/2853 + 21\/317. Find the common denominator of b and (320\/(-3))\/10 + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2613 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 418915 and 315.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 9*c = -643416. Suppose -32*s - 2*s = -c. List the prime factors of s.\nAnswer: 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 768.9 + -741.9. What is the second smallest value in -1, j, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 32 + 31. What is the greatest common factor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(20)\/(3*-4*sqrt(4)) - -3*(3 + -2*sqrt(5) - sqrt(5)).\nAnswer: -109*sqrt(5)\/12 + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**3 + 12*x**2 + 8*x - 13. Suppose 9*s - 28*s + 65 = 274. What is q(s)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 353*t*w + 270*w wrt t?\nAnswer: 353*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 29, 22, 15, 8?\n\"Answer: -7*v + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -5125*p - 615. Let l(g) = 2*g + 5. Give 123*l(w) + r(w).\nAnswer: -4879*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 divided by 35.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 395458?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/(-3) - (-546)\/252. Let k(p) be the second derivative of 0*p**3 - 5*p + 0 + 13\/12*p**4 - v*p**2. Differentiate k(y) wrt y.\nAnswer: 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1\/(-4))\/((-2)\/(-6)). Let k = 0 - 0.2. Let w = -5 + 7. Which is the closest to 2\/5? (a) v (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**(2\/7))**17*(d**1*d)**47*(d**(-4\/9)*d*((d\/((d\/(d\/(d\/d**5)))\/d))\/d)\/d*d)**40 assuming d is positive.\nAnswer: d**(21299\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -103313130 (base 5) in base 2?\nAnswer: -1101101010110101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 12*c - 17 = -13*c, 2*c + 26 = 4*n. Suppose 2*p - 31 = -4*r + 7*p, -n*p = 2*r + 7. Solve -2*d + 0 = r for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 771 + -596. Suppose -g*a - 8 = -176*a. Solve -3*i = -a*i - 25 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-26)\/(-91) + (-5)\/(-7). Let k = -0.22 - 0.08. Let m = -0.2 - k. Which is the nearest to v? (a) m (b) 0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s**4 - 3930*s**3 - 7803*s**2 + 58968*s + 141264 = 0. Calculate s.\nAnswer: -1308, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*(sqrt(343) + -1) + -1 + 2 + (sqrt(343) - (sqrt(343) + -1 - sqrt(343)) - sqrt(343))*-4)*6)**2.\nAnswer: 1008*sqrt(7) + 49428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**3 - 9*x**2 - x - 18. Let w(d) = -d**2 + 4*d - 1. Let v be w(3). Suppose 47 - 67 = -v*h. Is 8 a factor of a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -12.4 * 0.4.\nAnswer: -4.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is ((-84)\/(-3720))\/7*8\/6?\nAnswer: 2\/465","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttrr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -3*7\/84*24\/30\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -73*q**2 + 696. Let y(d) = 9*d. What is g(y(x))?\nAnswer: -5913*x**2 + 696","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*g**2 + 2 - 3*g - 2 wrt g.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 203 - -457. Does 20 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -82\/3 + 27. Suppose 10*c + 49 + 1 = 0. What is the second smallest value in 0.2, c, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i - 28 = 2*v - 31, v + 1 = 5*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -3*p - 4. Suppose 2*i - 564 = 5*i. Let h be (-6 + 5)\/(p\/i). Round h to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d - 7 = -f, d - 5*f = -8 - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*p**2 + 8*p**2 + p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 440647773*k**2 + 509374310?\nAnswer: 881295546*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1132 = -20*u - 372. Let c be (-18)\/(-10) - 11\/(-55). Suppose 2*z + 1212 = 4*a, -3*z - 538 = -c*a + 64. Calculate the highest common divisor of a and u.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 215\/4*n + 5\/4*n**2 + 105\/2 = 0. What is n?\nAnswer: -42, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nwwbbwgbgdgwgbnwwxwg. Give prob of picking 2 g and 1 w.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*b**2 + 6*b**2 - 11*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = i**3 + 8*i**2 - 6*i. Let t be p(-8). Suppose -3*h - 3*a = -t, -3*h - 2*a - 2*a = -50. What is the smallest common multiple of h and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ynzzznemmsm. What is prob of picking 1 z, 1 e, and 1 s?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 4*x - 139 = 47, -i + 4*x + 34 = -2*i for i.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - g = 6, 0 = 2*x - 4*g + 3*g. Suppose -x*r + 6 = -0*r. Let b(t) = t + 4. What is b(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = z**2 + 5*z - 3. Let g be v(-6). Solve f - 4*y = 14, g*y - 7*y = 5*f + 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by 39340.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 94 or -97\/2?\nAnswer: -97\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (3*sqrt(1960) + sqrt(40) + -5*sqrt(160))\/((-6*sqrt(72)*1 - sqrt(72))\/(2*sqrt(225) + sqrt(9))).\nAnswer: -132*sqrt(5)\/7 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -364 (base 10) to base 6\nAnswer: -1404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 11) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 2\/13 (b) -1\/35 (c) 0.1 (d) -12\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -101\/20 and 127\/9162.\nAnswer: 91620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + -2 + (sqrt(588) - (sqrt(588) + sqrt(588)*-2)*4)\/(4*(sqrt(36) + sqrt(4)) - sqrt(64)*2).\nAnswer: -7 + 35*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = -3*m + 126. What is the remainder when 105 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) be the first derivative of -6 - 1\/6*o**3 + 0*o + 1\/8*o**4 - 9\/2*o**2. Let q(z) be the second derivative of m(z). Give q(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 16955, 0.5, -3 in ascending order.\nAnswer: -3, 0.5, 16955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*k = -22*k + 316. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1102 to the power of 1\/2, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = 200*y**2 + 18*y - 98. Is 41 a factor of x(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -11702, -12323, -12944?\n\"Answer: -621*l - 11081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**3 - 24*r**2 + r + 22. Let g = 472 + -447. List the prime factors of h(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 77184*m - 96 + 96.\nAnswer: 77184*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/6 - (-244)\/24. Suppose 2*g = 4 + y. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 551227 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x = -5244 + 2669. Let o = -15521\/6 - x. Let r = 417\/55 + -19311\/2090. Calculate the common denominator of o and r.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m**3 - 6*m**2 - 6*m - 4. Let p = -3383 - -3392. What is the lowest common multiple of i(7) and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hrcew. Give prob of sequence rc.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -3 - 43*d**2 - 16*d**2 - 6*d + 65*d**2 - d**3. What is j(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (0 + -2)\/(-1*(-14)\/(-35)). Suppose 76 = u*z - 69. Calculate the remainder when 113 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 898 a factor of 3006177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 - 12*f**2 - 17*f - 8. Suppose 0*o = o - 13. Let t be l(o). Round t to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 99 + -71. What is the highest common divisor of b and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 111 and 20598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21 is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 400626\/55 or 7284?\nAnswer: 7284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9 - 13 - (9 + -7)\/((-11)\/33). Suppose -2\/7*h**5 + 216\/7*h**w + 24\/7*h**4 - 108\/7*h**3 - 162\/7*h + 0 = 0. Calculate h.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -29*n + 3. Let t be z(0). Let b(m) = -4*m**2 - 4*m + 3. Let s(w) = -8*w**2 - 7*w + 6. Let r(d) = 5*b(d) - 3*s(d). Determine r(t).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 7456, 8519, 9580, 10639, 11696, 12751, 13804?\n\"Answer: -r**2 + 1066*r + 6391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1514 + -1536. Put 4, 0.04, b, -1\/5 in descending order.\nAnswer: 4, 0.04, -1\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 + 13*k - 11. Let i be o(12). Let w(q) = q**3 + 10*q**2 + 30*q + 9. Let v be w(-5). Which is smaller: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2859, -5716, -8575, -11436, -14299, -17164?\nAnswer: -20031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 3*c - 1 = -p, -2*c = 4*p - 14. Let g(m) = -m**3 + 88*m**2 + 1544*m - 1. Let a be g(-15). Solve p*o + o + 4*b = 13, 4*o + 2*b = a for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6\/5, -413633.6, -1\/5?\nAnswer: -413633.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 0 - ((-1200)\/3 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -24 times -2773\nAnswer: 66552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 31265 + -11812. What are the prime factors of b?\nAnswer: 7, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-4)\/(-3))\/((-14)\/(-21)*1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -37207*k**3 - 4*k**2 - 3*k - 35. Is r(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 6 - (9\/(-3) + 2). Is (p\/(-4))\/(7\/(-476)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 6, o: 5, h: 4}. What is prob of picking 1 o and 1 s?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1242584 (base 9) in base 12?\nAnswer: 28824a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-817454)\/(-7))\/11 - 10\/35. What is j rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 1\/99?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 294273787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*w**5\/2 - 147*w**4\/2 - 87*w**3 + 51*w**2 + 183*w\/2 + 45\/2 = 0. Calculate w.\nAnswer: -15, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -62 + 64. Suppose t*b = 169 - 61. Let q = b + -51. Solve q*a = 3 - 15 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 59*p**3 + 5*p**2 + 7*p + 5. Let o(g) = -88*g**3 - 7*g**2 - 10*g - 7. Give 7*j(q) + 5*o(q).\nAnswer: -27*q**3 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1, -53, -199, -487, -965, -1681, -2683?\nAnswer: -4019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 684 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*q**2 - 3224*q - 374472.\nAnswer: -2*(q + 126)*(q + 1486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2724 - 1a8?\nAnswer: -28cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 1652725.809s?\nAnswer: 2.7326815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 395332 divided by 4?\nAnswer: 98833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1755 and 36405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 0)*(-8*d - 80*d - 60*d).\nAnswer: -296*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**3 - 16*t**2 + 12*t + 1. Let k be 46\/3 + ((-418)\/66 - -6). Calculate v(k).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -3*h**2 + 207*h + 1105. Give j(72).\nAnswer: 457","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -5 and 424.\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14 + 81 - 52 - (7 - 1)) + -87.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-18)\/117 + (-54)\/(-13). Let l(b) = -b**3 + 5*b**2 + b - 4. Calculate the lowest common multiple of l(g) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t**2 + t. Let w be x(-2). Let q = w - -18. Solve -4*h + 0*v = 2*v - 6, q = 5*h + 2*v for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1424989279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4448006 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 96826730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes after 10:14 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/(4 + (-34)\/8). Let u be k\/(-24)*-4 - -1. Let r = 0 - 0. Which is bigger: r or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 731 divide 1854855877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/((j**(-2\/77)*j)\/j)*j))\/((j*j**(-1)*j*j)\/j) assuming j is positive.\nAnswer: j**(-156\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g = 812 - 381. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -462*w = 106*w + 22344 + 29344 for w.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-1)\/(-5) - (5 + (-102)\/15). Let j = -3 - -5. Let c(k) = -k + k - 11*k**j + 9*k**n. Let x(v) = -v**2 + 2. Give c(x(h)).\nAnswer: -2*h**4 + 8*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.371414 and 0.3.\nAnswer: -0.1114242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 3\/39097247 and -38\/50267889.\nAnswer: 351875223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -111 (base 2) to base 4\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 555 times 0.3?\nAnswer: 166.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 116932929.\nAnswer: 3, 38977643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = -71 + 117. Suppose 0 = 8*u + 50 + c. Suppose -13 = 2*z - z. Which is greater: u or z?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 12*f**2 - 123*f + 716. What is o(7)?\nAnswer: 443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -67983\/4 - -17386. Let w = 388 - a. Is -3 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -48*o - 4 + 71*o + 18 with respect to o.\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 PM and 2:21 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 r and 1 i when two letters picked without replacement from riiiriiircriii?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 1\/5, 0, 1\/59, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:04 PM and 10:31 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + -2 - (-6 - -14 - 4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 65\/3, -1\/69, -0.4, 0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*k - k. Suppose k = -2*o - 3*o. Suppose 4*h + 21 = 3*i, 4*i + h - 4 = 5. Solve s - 5 + i = o for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -11738*j + 845198. Give g(72).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 9045749543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 + 25723?\nAnswer: 25720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6590, -6589, -6588, -6587?\nAnswer: -6586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/((-1)\/18*864\/192))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 866420 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 29000551883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*t**2 + 128*t + 124.\nAnswer: 4*(t + 1)*(t + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is z in -z**2\/11 - 334*z - 306779 = 0?\nAnswer: -1837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 2*a**2 - 4. What is f(3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -856*r - 297 = -829*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 + 6. Let t be 2*5\/s - -3. Solve -2*g + 8 = t*w, -g - 5*w + 3 + 1 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 262713, 525422, 788131, 1050840, 1313549?\n\"Answer: 262709*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ylhlffillinln. Give prob of sequence ff.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -15*l - 198 + 318 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.3 and 355.113796?\nAnswer: 355.413796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 143 and 132?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -61585.78 + 61583.7799915. Let m = 2 + o. Round m to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -1 and -3037.\nAnswer: 3037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -2.84 rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 214 a factor of 359467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1300 and 54075.\nAnswer: 2811900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*d + 9210 - 10075 = 21*s, 5*d + 195 = -5*s for s.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o**(-17)*o*o*o*o*o*o**(-1) assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 414754234\/105 - 122540037\/70. Let m = -2199081 + z. Let y = m + -2061\/5. Find the common denominator of 85\/8 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of a**6 - a**5 - 21991*a**3 - 38928*a**2 - 2*a + 2?\nAnswer: 120*a**3 - 60*a**2 - 131946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 PM and 1:20 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -4329000 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000037987 to seven decimal places.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 0.06855938 to 4 decimal places.\nAnswer: 0.0686","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put -1139\/15, -3, 0.07, -1 in decreasing order.\nAnswer: 0.07, -1, -3, -1139\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 726*f*m**2*n**3*y + 2*f*m**2*n**2 - 2*f*m**2*y**2 + 91*f*m*n**3*y**2 - f*m*n*y - 2*f*n**2 - f*n - 15*m**2*n*y + 28*n*y**2 wrt n.\nAnswer: 4356*f*m**2*y + 546*f*m*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3303074?\nAnswer: 2, 19, 86923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from fffvfffvvff.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**2 + 7*o + 7. Let z be x(-7). Let h be 2\/z - 16\/56. Let i be (-424)\/(-32) + -7 - (-7)\/4. Solve -d + 5*d + i = h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-l + 5*l - 3*l)*(2 + 3 + 1)*(l**3 + 0*l**3 - 3*l**3) + 323 - 323 + 86*l**4 to r + g*l**3 + u*l + c*l**2 + i*l**4 and give i.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 18 and (-36)\/(-2)*1 - 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 + -1. Let o = r - -6. Suppose -o*x + x - 7 = -w, 0 = -5*w. Calculate the common denominator of x and 24\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 29.3 (b) 0 (c) -2 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express (1394*s - 102664 + 102664)*(-1 + 5 - 5)*(s - 2 + 0 + s) + s**2 + s - s as p + z*s + a*s**2 and give z.\nAnswer: 2788","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g = -71\/12 + 415\/132. Calculate the common denominator of g and 137\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2189*g**2 - g**3 - 2970*g**2 - 2957*g**2 + 8116*g**2.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -202*o + 198*o + x = 8, x = -102*o - 2*x - 90 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 89, 100, 117, 140?\n\"Answer: 3*b**2 + 2*b + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -23 - -8. Let s be (y\/(-6))\/((-1)\/(-2)). Suppose 4*h - 2*m - 2 = h, 4*m = -5*h + 40. Solve s = -h*g - g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -a**3 - 251228*a**2 - a + 64635?\nAnswer: -6*a - 502456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1400934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 32302056?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 62 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -134*a - 317 = -173*a + 463. Solve h + a = -5*b, -8*h = -4*h + 4*b for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6 - 3 - 2) + -1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -41 divided by 136309.\nAnswer: -41\/136309","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3.74744 litres?\nAnswer: 3747.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.05 in 5, 11, 1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4950 is divided by 254.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(72) - 1*sqrt(72)*2 - ((sqrt(72) - (sqrt(72) + 4 + (sqrt(72)*-2 - sqrt(72)))) + sqrt(72)))**2.\nAnswer: -240*sqrt(2) + 1816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + -1 - (65 - 59).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -325 - -716. Let u = s - 111. Suppose -3*p + 8*p = u. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 72355845.\nAnswer: 3, 5, 4823723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1647 - -1654. Let k be (-4)\/(-7 - -3)*-2 + 4. Solve -5*r = k*x - 21, x - t = -4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + u = -3, -3*r - 2*u + 16 = -0*u. Solve n = -0 + r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in twenty-five halves of a hour?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 9*h + 11. Let o(p) = 4 + 3 - 1 + 5*p. Let d = -25 + 25. Suppose -w + d*w - 9 = 5*n, 6 = 2*w + 2*n. Determine w*q(u) - 11*o(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g - 5 = 0, -3*w - 2*g = 6 - 2. Suppose -w*t + 2*p = -246, -3*p - 102 = -4*t + 393. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -72648, -145293, -217938, -290583, -363228, -435873?\nAnswer: -508518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 4*c + 5. Let a be v(6). Let i(j) = 232*j**2 - 340*j + 340. Let g be i(1). What is the highest common factor of g and a?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*l - 116*l + 611088 + 116296. Calculate the remainder when l is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3, 7, 11, 15?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 3*n**2. Let i(q) = -4 + 4 + 2*q. Calculate v(i(l)).\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -206*l - 1872 = 2*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s**3 + 87*s**2 - 21*s - 1832. Give w(-87).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2.6 - 1.2. Let r = -3.95 - f. Let h = r + 0.11. Is h at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 49*r**2 - 6 + 122*r**3 - 4 - 21 + 31.\nAnswer: 122*r**3 + 49*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve w - 3*j - 14 = 0, -3*j - 22 = -5*w - 4*j for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62*c**2 + 90 - 275 + 5 + 94 + 86.\nAnswer: 62*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 24 + -20. Suppose 4*h - 38 = 3*w, 5*h - q*w - 9 = 38. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 793*u = -6359 + 21426 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 4216 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 2*m**2 - 4*m - 1. Let c be v(3). Suppose -c*j + 85 = -k, 18 = -4*j - 5*k + 86. What is the remainder when j is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 52.24818 tonnes to milligrams.\nAnswer: 52248180000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 2*g = 49804. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from drdiirdii. What is prob of sequence idid?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3627872 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 329 divided by 2?\nAnswer: 329\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = q**2 + 6*q + 1. Let k be u(-3). Let d(r) = -3 - 7*r**2 - 13*r**3 - 6*r**3 + 9*r + 2 + 18*r**3. Determine d(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00028864 to five decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**2 + 4*a + 5. Let s = 5 + -9. Let b be i(s). Suppose -l + 6 = -5*x, x + 30 = b*l + 5*x. Solve -2*f + 5*f = l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 22000 - 22120012?\nAnswer: -22021012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2748\/11 - -250. Let k = 1797 + -1800. Which is the nearest to k? (a) -0.4 (b) h (c) 2.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -101 - 3665125?\nAnswer: -3665226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: What is -2 times 217221?\nAnswer: -434442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sum -12016.9544 and -1.\nAnswer: -12017.9544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v + 7. Let g be z(6). Let y(c) = -12*c**2 - 5*c - 2. Let l(u) = -u**2 - u - 1. Let h(a) = g*y(a) - 5*l(a). Find the first derivative of h(k) wrt k.\nAnswer: -14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - o = -16. Solve q = 5*x + 19, -x - 3*x = 2*q + o for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 47 = -5*g + 422, 5*j = 0. Is g a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**2 - 21*o + 156. Determine u(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 16020*c = 15960*c + 1980 for c.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 13407615311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -132 - -926\/7. Let y be ((-12)\/36)\/(1\/(-6)). Suppose -4*z - 3*i - 45 = 0, -3*i = z + y*i + 7. Which is the closest to f? (a) -2 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 28.03 - 477?\nAnswer: -448.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 155920535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**3 - 3*p**2 - 2*p - 1. Suppose -338 = -4*d - 30. Let u = -80 + d. Determine r(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that 2*s**4\/17 + 762188*s**3\/17 + 72602597738*s**2\/17 - 2614434411960*s\/17 + 23532132457800\/17 = 0.\nAnswer: -190565, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 5, w: 5, h: 1, n: 7, g: 1}. What is prob of picking 1 h and 2 o?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 6*c**2 - 22*c - 58. What is a(4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2 + -5 + 2*sqrt(605))*1)**2.\nAnswer: -132*sqrt(5) + 2429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6.1204034 + -96.4053476. Let s = v - -163.5257576. Let p = s + -61. What is p rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 1630.3 * -0.047\nAnswer: -76.6241","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -39*s - 4. Let m(x) = 40*x + 5. Let a(t) = -4*m(t) - 5*y(t). Let f(n) be the first derivative of -n**3\/3 - 32. What is f(a(o))?\nAnswer: -1225*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + -aae02?\nAnswer: -aaded","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -30, 5, -38, -56 in decreasing order.\nAnswer: 5, -9, -30, -38, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/125 and -19\/3265.\nAnswer: 81625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 28330 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r + 41. Is 8 a factor of n(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 115\/2*p + 288*p**2 + 3\/2*p**5 + 0 + 405*p**3 + 176*p**4 = 0. Calculate p.\nAnswer: -115, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -112, -107, -100, -91?\n\"Answer: y**2 + 2*y - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 610, 607, 604, 601, 598, 595?\n\"Answer: -3*u + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -137\/576 and -69\/4.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 973260 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-88)\/16*(-6104)\/11990\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-5\/3)*g**(4\/11) assuming g is positive.\nAnswer: g**(-43\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 44728, 44727, 44726?\n\"Answer: -d + 44729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1936 divided by 3?\nAnswer: -1936\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 1767*y**2 + 209*y + 209. Let u(b) = -17*b**2 - 2*b - 2. Determine -2*t(w) - 209*u(w).\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2103 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 95 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -156607, -313216, -469825, -626434, -783043, -939652?\n\"Answer: -156609*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 12 (base 11) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 12 + 257?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (11 - (15 + 8)) + 1 + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:13 AM and 5:31 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-900)\/(-135))\/(5\/216). Calculate the highest common divisor of h and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 3*y**3 - 4*y**2 + 4*y - 3. Let i be t(2). Let n = 222 + -196. Let r be n + 0 - (-3 + 3). Calculate the highest common divisor of r and i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 202.85 rounded to the nearest 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -332421 bigger than 3533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the second derivative of -h**7\/3780 + h**6\/540 - h**5\/180 - h**4\/6 - 3*h. Let d(x) be the third derivative of i(x). Factor d(l).\nAnswer: -2*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes before 9:32 AM?\nAnswer: 12:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 242 - 143. What is the highest common factor of 231 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -13 + 6*v + 7 + 1 + (3 - 3 + v)*(3 + 1 - 3).\nAnswer: 7*v - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1062, 9484, 32422, 77160, 150982, 261172, 415014, 619792?\nAnswer: 882790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 382 and 2471349.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 - 1. Let l(o) = -7*o**2 - 2*o + 2. Let v(n) be the second derivative of -1\/4*n**4 + 423*n + 0 + 1\/2*n**2 - 1\/6*n**3. Determine t*l(g) + 5*v(g).\nAnswer: -g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -41 + 52. Suppose h + 7 - q = 0. Suppose -5*j + h*f - 3*f + 12 = 0, -j - 5*f - 8 = 0. Is 2 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*b - 31 - 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.4? (a) -0.1 (b) -1.07241 (c) 1\/6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 2, e: 5, g: 3, w: 5, i: 4}. Give prob of picking 1 g, 1 e, and 1 w.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8565573.\nAnswer: 3, 449, 6359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12399312 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -34 or -25?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 599459141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**3 - 17*w**2 + 132*w + 2222. Determine p(-17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 118 a factor of 51697694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(117) - (sqrt(117) - -3*sqrt(117)*3))\/(sqrt(36)\/(-1*sqrt(4))).\nAnswer: -18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = 6*h + 51. Let v be l(-8). Solve w = c + 1, 2*w - 3 - 4 = -v*c for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 704 (base 13) to base 15\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 31472 + -31100. Solve 0 = -7*c - 379 + p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 173 - 168. Solve 2*s = -r + 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7 or -488352?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = 2 + 46. Let k be 14\/56*h\/2. Let y(b) = 2*b**3 + 2*b**2 - 2*b - 1. Let m(l) = 2*l**3 + 3*l**2 - 3*l. Give k*y(g) + 2*m(g).\nAnswer: -2*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(891)*-1 - (3 + sqrt(33)\/sqrt(3))) + 1 + sqrt(176) + 5.\nAnswer: -6*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that 16*i**5 - 1636400*i**4 + 41851337071*i**3 - 543790763213*i**2 - 2615708567*i + 33986929093 = 0.\nAnswer: -1\/4, 1\/4, 13, 51131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange d**4 - 8*d**2 + 6*d**2 - d**3 + 3*d**3 + (32 - 19*d**2 - 32)*(-d**2 + d**2 + 2*d**2) to the form k*d**3 + r*d**2 + c + z*d + t*d**4 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 31, 37, 43?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16179 is divided by 4009.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(891) + 1 + 0 + -3)**2 + 1.\nAnswer: 18*sqrt(11) + 893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 10*u - 57 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 64*h**3 - 1026*h**2 + 54*h - 347. What is d(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -23 + (16 - (-2 - 5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1198932629 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y + 20 = -0, -18*y + 257 = -25*u - 20*y - 37 - 66 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (36\/162)\/(12\/(-63)).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -125 + 1354153*z + 4*z**2 + z**3 - 1354153*z to c*z**2 + y*z**3 + l*z + u and give u.\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1486*t**4 - 2*t**3 - 386*t**2 + 1 wrt t.\nAnswer: -35664*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -d**2 + 16*d - 24. Let n be f(14). Solve -5*j = -n*u - 10, -2*j - 4*u + 8 = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 2*x**3 + x**2 - 2*x. Let w(d) = 22*d**3 + 36*d**2 + 72*d + 96. Let g(o) = 20*u(o) - 2*w(o). Solve g(y) = 0.\nAnswer: -8, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:12 PM and 4:29 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 6\/7 (c) -1.89 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1109104?\nAnswer: 2, 103, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16609728.\nAnswer: 2, 3, 86509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*c**2 + 4*c**2 + 11*c**2 + 2*c**2 - 2*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 5*x - 4 - 5*x + 6 + 2*x. Let k be z(0). Differentiate -9*w**k - 6*w**2 + 3 + 5 + 0*w**2 wrt w.\nAnswer: -30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 AM and 11:54 AM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is (-11 - -4*(-621)\/(-252))\/((-10)\/(-7))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -479.3 - 55.7. Let g = o + 534.99562. What is g rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 50 and 5374325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*r + 6*r - 5*r)*(-1 - 3 + 2) + (1 + 0 + 1)*(r - r - r) - r - 2*r + 2*r - 2*r - 2*r + 5*r + 2 + 3*r - 2.\nAnswer: -23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2728*a**4 + 2733*a**4 + 3*a**2 - a**3 - a**3 to the form j + p*a**4 + i*a**3 + z*a**2 + l*a and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1558\/45 + 172\/5. Are d and 1\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l**2 + 217395*l + 6083140 = 0. Calculate l.\nAnswer: -43451, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = -4*x + 4*s, -3*s - 11 + 29 = 5*x + 9 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 51, -211, -795, -1713, -2977, -4599, -6591, -8965?\nAnswer: -11733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 - 24 = -p. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.41 + 0.71. Let p be (8\/(-24))\/(4\/(-3)). Sort -1, h, p, 0.01.\nAnswer: -1, 0.01, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z + 25 = 0, y + 5 = -2*z - 0. Suppose y*x - 348 - 641 = f, -4*f = -4. Suppose r - x = -62. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*b**3*r - 2*b**3*x**2 - b*r*x - 70*b*r - 63*x**4 wrt x?\nAnswer: -4*b**3*x - b*r - 252*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -4*k + 100. What is the least common multiple of u(23) and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 57604, 460733, 1554940, 3685765, 7198748?\n\"Answer: 57590*j**3 - j**2 + 2*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -73 divided by -30\nAnswer: 73\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*k - 3*k = -336. Suppose 4*o - k = 2*c, o - 4*o - 4*c = -84. Calculate the remainder when 55 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + (4 - -2) + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 1 + 10 = -2*j, -b = 2*j - 9. Suppose -b*z - 2*d = 2*d, 3*d = 0. Solve -s + z*s + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:21 PM and 4:22 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97 is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -213804173579 + 0.01.\nAnswer: -213804173578.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -66.5*8.48\nAnswer: -563.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -10.5, 0.4, -3 in increasing order.\nAnswer: -10.5, -3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 124*j**2 - 192778348*j + 18655968.\nAnswer: 4*(j - 1554664)*(31*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/13, 1\/3, 5, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (16\/(-520)*-13)\/(60\/(-25))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3333414 divided by 141\nAnswer: 1111138\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vuvvuxvkpkkkuvuv. What is prob of sequence kp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = -112 + 235. Suppose 0 = 3*m + 2*y + 187, 2*m = -5*y - a - 20. Let c = m - -83. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -588*z - 52 = -601*z. Solve -8 = 6*r - z*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -16 + 21. List the prime factors of h\/1 - (1 + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**3 + 7*l**2 - 8*l + 3. What is a(4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -61.9306 or -14\/17?\nAnswer: -61.9306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 3 (b) -0.06 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -49 + 10. Let n = k - -14. Let r = -15 - n. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3927 take away 91?\nAnswer: -4018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 - 45734?\nAnswer: -45738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*v + 10*v + 7*v - 8*v - 16*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.6 + 955504784404.\nAnswer: 955504784404.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 + 0 + d)*(-1 + 4 - 1) - 40 + 8*d + 19 + 19 to the form p + a*d and give a.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*z**3\/3 + 19162*z**2\/3 - 2164960*z\/3 + 20264832.\nAnswer: 2*(z - 56)**2*(z + 9693)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r = -4*z + 10*r - 6*r - 13*r + 88, -z - 5*r + 22 = 0 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 52\/365 and 24\/1825?\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11945, 24306, 36651, 48980, 61293, 73590?\nAnswer: 85871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 27462 and 66864.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1 * 12230\nAnswer: -12230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 5 times 4.8\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 47 by 4.\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 8, 0*h + 15 = i + h. Suppose -18*o = -11*o - 252. Calculate the remainder when o is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 40 - 45. Let u = 1 - 1.1. What is the biggest value in 0, x, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 + 10*a - 15. Suppose -9*o + 5*o + 20 = 0. Let x be b(o). Calculate the highest common divisor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(11) - (sqrt(11) + 0)**2)*-3*-6 + -2*(1*(sqrt(539) + 1) - sqrt(539) - sqrt(539))**2.\nAnswer: -1280 + 46*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 124717 or 123642?\nAnswer: 124717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/(w**(-1)\/w)*w**(-2)\/w)\/(w**(-2\/7))**31 assuming w is positive.\nAnswer: w**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 12 = d, 0*d + 3*d = -l + 3. Let n = 40 + -20. Solve -l*p = p - n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 233*b*j + 27784*b - 21*j**2 wrt j?\nAnswer: 233*b - 42*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 4301 (base 7) to base 11\nAnswer: 1162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes before 4:58 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -1132410311 (base 5) in base 15?\nAnswer: -36c0db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 93376 and 763057?\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 434 = -5*f, 0 = -3*p + 15 - 6. Calculate the highest common factor of 22 and f.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.66 in 2910, -0.4, 2, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 632651233 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 293558?\nAnswer: 2, 37, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 156693, 2, 0, -2 in decreasing order.\nAnswer: 156693, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = c - 4*j - 58, 67*j = 3*c + 69*j - 258. Calculate the remainder when 395 is divided by c.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 4\/(-8)*(-4)\/87. Let n = 125512 + -1004093\/8. Which is the third biggest value? (a) -0.5 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from mavaavaavaavv.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14 + 31. What is the remainder when 48 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 6 = 6. Let s be -2 - v\/4*2. Suppose -4*z + 5*r = 27, -z - 4*z + 2*r - 21 = 0. Sort s, z, 0.\nAnswer: s, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -2\/51653?\nAnswer: -2\/51653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -1458*s**5\/13 - 33966*s**4\/13 - 292550*s**3\/13 - 1155594*s**2\/13 - 2024512*s\/13 - 1128960\/13 = 0 for s.\nAnswer: -9, -5, -112\/27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j - 6 = -3*n, 47*n = -4*j + 49*n + 4 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -6*d**3 - 13*d. Let m(j) = 3*j**3 + 7*j. Let f = 7 + 4. Calculate f*m(a) + 6*c(a).\nAnswer: -3*a**3 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) be the second derivative of 4511*w**7\/42 + 3001*w**3\/2 + 2180*w. What is the second derivative of z(c) wrt c?\nAnswer: 90220*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 5158 and -0.1.\nAnswer: -515.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Divide 2317 by -331.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*u**2 + 16*u**2 - 447*u - 2*u**2 + 8*u**2 + 447*u.\nAnswer: 15*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 33923206 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*i - 15*i - 25. Let u = -6 - -4. Is u greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1012*z**2 - 351*z**2 - 334*z**2 - 328*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:02 PM and 4:41 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -51 + 68. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -r**2 - 3*r - 1. Let a be u(-3). Let p be 3939\/4095 - (-6)\/(-5). Let q = p + 2\/7. Which is smaller: a or q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 333, 2, 3, -17, 1, -0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1558 (base 9) in base 3?\nAnswer: -1121222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 641 (base 8) to base 7.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 1.37663 to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = 0*n - 5*n + 2 + n + 5*n. What is w(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1031110013101 - -122?\nAnswer: -1031110012313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 558516 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 147356468*k**5 - 25433*k + 265 wrt k?\nAnswer: 2947129360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 718175?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.03 or -546741?\nAnswer: -546741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Add 76.07253 and -5256.\nAnswer: -5179.92747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 2, -4.\nAnswer: -7, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4 + ((-328)\/(-5))\/(-4))*-5. Calculate the highest common factor of 217 and s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -455\/6 or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 105\/1748 and 41\/22.\nAnswer: 19228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oe when two letters picked without replacement from {w: 2, k: 2, e: 4, o: 1, q: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3487\/286051 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -637 (b) -126 (c) -3 (d) 0.3 (e) 0 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-28*14\/343)\/(2\/(-42)). What is the highest common factor of l and 123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -1\/8 (b) -2 (c) -0.0267 (d) -36 (e) -36\/269\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/33 (b) 12 (c) 1672 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**4 + 802*a**3 - 160801*a**2.\nAnswer: -a**2*(a - 401)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 9 = 2*p, -12 = -3*p - 4*w - w. Let s be 6\/p + 22\/(-6). Let o(g) = -g**2 - 2*g - 1. Let n be o(s). Put 3, -5, n in decreasing order.\nAnswer: 3, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3650872.617 rounded to the nearest one thousand?\nAnswer: -3651000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1463846 rounded to the nearest one hundred thousand?\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 265 = n - 295. Is 56 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 143 or -21889?\nAnswer: -21889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (-539154)\/93360*(-12)\/(-33)\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*i - 18 - 16 = -2*z + 20, -5*z + 5*i = -65 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 42 divide (294 - (3 - 3))\/((-1)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -h**3 - 17*h**2 + h + 8. Let j be r(-17). Let s be (((-126)\/j)\/(-28))\/((-1)\/6). Solve -z - 5*o = -2, 2*z + s*o - 4 = 2*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 378*r**4 + 22*r + 5 wrt r?\nAnswer: 4536*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 393, 395, 395, 393, 389, 383, 375?\n\"Answer: -j**2 + 5*j + 389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -403 + 2056. Let u = 5324 - z. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 180487137 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (13 - 8) + (4149 - 6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) -0.7 (b) 4 (c) -2\/641\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 240 - 691?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 154 (b) 0.3 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*j - 11*j = -6. What is the smallest common multiple of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the first derivative of -3*h**5\/5 + 9*h**4\/4 - h**3 - 9*h**2\/2 + 6*h - 3. What is q in u(q) = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3103 = -293*y + 283 - 9147 - 6838 for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**2 - 29*d - 38. Calculate t(32).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = p + 2*q - 5, 500*q - 496*q - 4 = 4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {n: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -491182756 to the nearest 1000000.\nAnswer: -491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -a**3 + 6*a - 2. Let v(k) = 2*k**3 - 6*k + 3. Determine 3*q(r) + 2*v(r).\nAnswer: r**3 + 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 202799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 1 = 4, 2*f + 5*j = -19415. What is f rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4\/6*3\/1. Suppose -101 = -5*x - u*a, -4*a = x - 13 - 0. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:25 AM and 7:59 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 20 + -10. Suppose 3*c - a = 2*c. Calculate the least common multiple of 7 and c.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-90)\/72)\/((-5)\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in 0.81, -1\/3, -8, -5, 0.4, -88, 3\/10?\nAnswer: -88","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d*(d\/(d\/(d*d*d**(-3))))\/d*d)\/(d*(d**(-1)\/d)\/d))\/((d*d**(-2\/21)*d*d)\/d**5))\/(((((d**(-2\/5)\/d)\/d)\/d)\/d)**(6\/13))**36 assuming d is positive.\nAnswer: d**(106747\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 187296741?\nAnswer: 3, 20810749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = 15*f**2 - 171*f - 46. Let j(k) = 4*k**2 - 39*k - 11. Let r(y) = -13*j(y) + 3*n(y). Determine r(3).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 37*x - 667*x**2 - 79*x - 156*x**2 + 42*x to the form d*x + f*x**2 + s and give f.\nAnswer: -823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 19.2 + -19. Let u = -209\/10 + 41\/2. Which is the closest to w? (a) -3 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22300.3 rounded to the nearest 100?\nAnswer: 22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 + 2*m**2 - 2*m + 3. Suppose -4*r = -r - 6. Let i be c(r). Let p be (-1)\/2 + (-33)\/(-154). Are i and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -124 by 336430.\nAnswer: -62\/168215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 7200350 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 2*x - 14 = 22, 2*s - 4*x = -28. Let u = -5 - s. Suppose 10 = -u*a + 6*a. Does 4 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3993 = -84*t + 2811. Solve -270 = t*g - 27*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -75\/494 and 45\/11.\nAnswer: 5434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -6*x + 6 - 4*x**2 + 3*x**2 - 3. Suppose -26 = 5*p + 4. Determine y(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -93853 by -5.\nAnswer: 93853\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -116*p - 1010. Give c(-9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2984401, 2984418, 2984439, 2984458, 2984469, 2984466, 2984443?\nAnswer: 2984394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -39*g**2 + 47723569 - 47723569.\nAnswer: -39*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g = -138 + 184. What is the greatest common divisor of 368 and g?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 819113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 709222 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + v - 34 = 4, -4*v - 38 = i. Let j = 162 + i. Does 31 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -3*s + 1, s - 25*d + 22*d - 2 = 0. Let r(o) = 17*o**2 + o + 1. Calculate r(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 100590891.\nAnswer: 3, 23, 61, 23899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -8*t - 56. Let n be j(-10). Let g = -25 + n. What is the common denominator of -11\/5 and g\/(-12)*(4 + 250\/(-4))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 388.4505084 rounded to one decimal place?\nAnswer: 388.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 106495001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2623\/625 + 2\/625. Let f = x - 229\/45. Calculate the common denominator of f and (48 - -18)*(-4)\/(-42).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cgllllhllgllh. What is prob of picking 1 g and 1 c?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 2*y + 8. Let c be z(-3). Let g be (2 - 2)\/c*(1 + 0). Put 8, g, -2 in decreasing order.\nAnswer: 8, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 449427441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*n**2 - 3*n**2 - n**3 + 9*n**2 + 3*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 3*z + 132. Let b(u) = -3*u - 33. Let h(m) = 4*b(m) + k(m). Let t(g) = 37*g + 4. What is t(h(o))?\nAnswer: -333*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.58 + -0.02. Suppose u + 13 + 3 = 4*l, 2*l = -u + 14. Suppose -4*p - 3*h = 8, 2*h + 22 = l*p + 9. Which is the closest to p? (a) 2 (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.061, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 2*d**2 + d + 5. Let q be k(0). Let n(u) be the second derivative of u**5\/20 - 5*u**4\/12 - u**3\/3 - u**2\/2 + u. Calculate n(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -405 divided by 5.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v + 8. Let z be s(-5). Solve h = -0*h + z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 11) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*((-24)\/(-36) - (-58)\/(-78)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.708 + 1.108. Let v = -15 + 16.4. Which is the biggest value? (a) -3 (b) o (c) v (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2093 and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x = -392 - -646. Let i = x - 238. What is the highest common factor of i and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = 3*p - 5*q, -24 = 4*p - 3*q - q. Let l = 1 + 0. Let s be ((-3)\/(-6))\/(l\/(-2)). Sort s, p, -5 in decreasing order.\nAnswer: s, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 15 - 7. Suppose 3*g - 52 = -5*x + 5*g, -4*g + 40 = 2*x. Solve -5*h - x = o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -51, -140, -239, -348, -467?\n\"Answer: -5*t**2 - 74*t + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0399801588 to 4 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 2 g when three letters picked without replacement from {c: 2, g: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -506502 != -506504?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + 501 = -4*d - 651, 5*r = -5*d - 1440. Let l be d\/(-152) - 4\/(-38). Suppose -l*a + p = -290, 12 = 2*p + 4. What are the prime factors of a?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -551090 (base 10) to base 8.\nAnswer: -2064262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02003 to four decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 39463512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:48 PM and 10:15 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-4)*(30894\/(-9756))\/(((-5)\/(-8))\/5).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 7 + 2 + 8 + (12 - 9) + -4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 19 - -1. Suppose -s = -6*b - 8. Suppose 5*l = -10, -4*k + 0 + 6 = 5*l. Sort k, b, 9.\nAnswer: b, k, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.014787 + 69?\nAnswer: 69.014787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 - ((-3)\/1 + -2). Suppose -w*d = -3*i - 39, -2*i = -d - 8 + 24. Solve -3*g + d = -0*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(-5 + sqrt(20)\/((2*sqrt(400) - sqrt(400)) + sqrt(400) + sqrt(400) + sqrt(4))).\nAnswer: -15 + 3*sqrt(5)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(1\/9)\/(f**9*f*f))**(-23\/3) assuming f is positive.\nAnswer: f**(2254\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/(6 - 3)*-3. Factor 0*s + 2*s - 2*s**i + 0*s.\nAnswer: -2*s*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**3 + 16*z**2 - 11*z - 21. Calculate c(15).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-69 - 7)\/((-3)\/5667). Suppose -34*r + 14910 = -p. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - ((-2)\/(-8) + (-2323)\/92). Let x = m - -119. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((sqrt(156) - (sqrt(156)*2 - sqrt(156))*5) + (sqrt(156) - sqrt(156)*-2*-5))\/(sqrt(36)\/(sqrt(3) + sqrt(36)\/(sqrt(12)*1) + sqrt(3)))*-6.\nAnswer: 468*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -232*a - 185. Calculate the remainder when h(-2) is divided by (-1768)\/(-51) + 2\/6.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = x - 5. Let d be z(7). Suppose -2*m = -4*r - 2, d*r + 2*m = -m + 3. Suppose -5*w + 61 = -c, r = 3*w - c + 5*c - 32. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 375, 724, 1323, 2172, 3271, 4620, 6219?\n\"Answer: 125*c**2 - 26*c + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in -11, 13.7, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 219742 is divided by 144.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:40 PM and 10:47 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 152 + -73. Suppose -2*b + 156 = 4*a, -3*b + 5*a + 188 = -i. Let n = b + -47. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 153 = 8*c - 59*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1 + (-1 - (-2)\/3). Let v = 3.8 - 0.8. Let t = 1.6 + -1.7. What is the nearest to -1\/4 in o, t, v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/17, 0.1, -2\/7 in descending order.\nAnswer: 0.1, -1\/17, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 37*g + 98*g + 413*g as u*g + p and give u.\nAnswer: 548","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the first derivative of 1\/3*m**3 + 76 - 26*m**2 + 676*m. Let c(h) = 0. Calculate h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = 11*d - 15. Let w(k) = -5*k + 7. Let l(u) = -6*m(u) - 13*w(u). What is the units digit of l(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) be the second derivative of -289*v**7\/42 - v**5\/10 + 47*v**3\/6 + 15*v. What is the second derivative of c(l) wrt l?\nAnswer: -5780*l**3 - 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5 + (-36)\/28 - 4\/(-14). Solve g*f = 7*f - 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o. Let a(q) = q**2 - 7*q + 13. Let u(s) = a(s) - p(s). Let t be u(6). Suppose 8*i - 17 = -t. Solve -i*v + 1 = 11 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**2 + 44*o + 263. Let i be h(-5). Calculate the greatest common factor of 288 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 3*m**2. Let k(p) be the third derivative of -p**5\/6 + 7*p**2. Determine r(k(a)).\nAnswer: 300*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence so when two letters picked without replacement from ossssssssssssss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*r - 13*r + 680. Suppose 3*s = -7*s + r. Is 13 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12419 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1 + -1402034?\nAnswer: -1402040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5000 divided by 8.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 184 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor -22693*a**3 + 45380*a**3 - 63*a**2 - 22690*a**3 + 66*a.\nAnswer: -3*a*(a - 1)*(a + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-12)\/(-7) - 34\/(-119). Suppose -j*o + l = -6, l + 41 = 5*o + 5*l. Solve 2*u + 3*m + 7 = -0, 2*u + o = -m for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) 2\/9 (b) -1\/5 (c) -0.5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u - 19 = -q, 19*q + 23 = 4*u + 16*q for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28\/196 - (-63810)\/14.\nAnswer: 2, 43, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 5.399021 millennia?\nAnswer: 53.99021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 40349900 to the nearest one million.\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1660 and 220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 - 2*p**2 + 2 + p**2.\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 10}. What is prob of sequence nnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = 74 - 130. Let w be 9\/(-6)*p\/21. Let x(i) = -i**2 - 3*i - 4. Let b(q) = 2*q**2 + 4*q + 4. Let n(h) = -2*b(h) - 3*x(h). Calculate n(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1485\/22)\/(-27)*4\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -196007 divided by 7?\nAnswer: -28001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -194 <= -2\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25 - 23. Let v = -11 + 16. Suppose 4*k + v - 11 = 2*m, 2*k = -m + 13. What is the highest common factor of k and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 858.8 + -858. What is the fourth biggest value in -5, -2, u, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 103064 and 77298.\nAnswer: 309192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20\/3*(-34)\/(-68)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13188.\nAnswer: 2, 3, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5453*f**5 - 10858*f**5 - 7 - 93*f + 5531*f**5 wrt f.\nAnswer: 2520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**3 + t**2 + t - 1. Let s be a(-2). Let o(m) = -6*m - m + 8*m + s. Let n be o(-9). Which is smaller: 3\/11 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -147*y**3 - 5*y**2 + y + 4. Let x be q(4). Let t = x - -28690\/3. Let m = t + -84. Is 0.6 greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 + 442\/51 + (-2)\/(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-3)*(-13)\/(156\/(-72)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 3276708 and 3276708?\nAnswer: 3276708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 8917703 divided by -4\nAnswer: -8917703\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 2*c. Let g(q) = q**2 - q - 2. Let h be g(5). Let u = h - 12. Let b be (-3)\/(u\/(-2) - -4). Determine z(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:47 PM and 3:54 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -b. Let c(a) = 50*a + 471. What is c(f(o))?\nAnswer: -50*o + 471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - 2. Let y = v + 7. Solve 3*z = y*q - 2, z - q = 2*q + 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 111 + -111.442. Let b = p - -0.44201725. Round b to six dps.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 665 is divided by 160?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0\/(-2) - (-12 + 5). Let f = -18 + r. Let v = f + 15. Solve 5*n = -10, t + 9 = -v*n - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29108971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2361 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -297416*m + 296515*m + 88298 = 0 for m.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 294968 bigger than 294970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*l**3 - 906*l**2 - 136806*l - 6885902.\nAnswer: -2*(l + 151)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 + -11 - 11 - -6 - (-1 + 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 21461, 42920, 64379, 85838?\n\"Answer: 21459*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(2 + sqrt(931) + 3) - (4 + (sqrt(931) + 1*sqrt(931) + -3)**2).\nAnswer: -3757 + 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 835461.2 litres to millilitres.\nAnswer: 835461200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 775.1794t in micrograms?\nAnswer: 775179400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -1 + -3 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 114 + -111. Let x be ((-10)\/15)\/((-5)\/i)*35. Let g be 104\/6 - 4\/(-6). Solve -o = -5*j + g, o + x = 5*j - 2*o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 461bec (base 15) to base 12.\nAnswer: 1155136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (-13 - (12 - 3 - 4 - 11))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 6, v: 10}. Give prob of picking 2 f.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 7251 - 14a?\nAnswer: 7104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 88385.\nAnswer: 5, 11, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 130*r + 4 - 11 + 5 + 2 to g*r + v and give g.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -8\/6059 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -23947*g + 11973*g - 933 + 11972*g as w + k*g and give w.\nAnswer: -933","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*y + 10*y + 7*y)*(-2*y**2 + 4*y - 4*y) + (y**2 - 3*y**2 - 8*y**2)*(-5 + 3*y + 5).\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.63004 and -3.\nAnswer: -3.63004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39861867, -39861866, -39861865, -39861864?\nAnswer: -39861863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 215526, 215863, 216190, 216501, 216790, 217051?\nAnswer: 217278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - -1)\/((-10 + 7)\/3) - (45 - 33).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - t = 4, -2*r + 8 = r - 5*t. Suppose -n = -r*n - 5*h - 10, -n + h = 0. Let i be 0*n\/3 + 6200. Round i to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1*-2)\/(-18 - -10)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 760\/64*4\/10 - 285\/57. What is the closest to -0.04 in 1\/5, c, 0.8?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -44\/3741 and 33\/8.\nAnswer: 29928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -439 less than -75102504703?\nAnswer: -75102504264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 2*i - 3. Let h be z(2). Let o(l) = 6*l + 10. Let f(a) = a + 1. What is h*o(r) - 8*f(r)?\nAnswer: -2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -44217.2505 to the nearest one thousand.\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -24 + 24. Suppose -9531 = -y*l - 4*l - t, -5*t - 25 = 0. Let i = 23717\/10 - l. What is the common denominator of -113\/18 and i?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 90 = -5*l + 3*i, 17*l - 17*l + 7398 = 4*i + 7378 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -67*i**4 + i + 270 wrt i?\nAnswer: -268*i**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -4*a + 2. Find the common denominator of 780\/(-16)*(-5)\/((-700)\/a) and 18\/32 + 1*-1.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, q: 15}. What is prob of sequence qqqz?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/3? (a) 2\/35 (b) -16989 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.6 (c) -10 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 9 - 2*m + 5 - 7. Let z be h(5). What is the common denominator of -101\/22 and z\/12 - (-55)\/(-50)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 58977\/34 + -1733. What is the common denominator of -3\/10 and n?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 + 4*a**2 - a. Let i be o(-4). Suppose 2*t = -i*m + 30, -4*m + 2*t + 24 = m. Suppose -m*l = -2*l - 200. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -308.99 and -0.7.\nAnswer: 216.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -140*x + 29. Let r(u) = 32*u. Give o(r(b)).\nAnswer: -4480*b + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 51 in -2\/5, 0.3, -4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 135133562, 135133567, 135133572, 135133577?\nAnswer: 135133582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1348*l**2 + l**4 + 212*l - l**3 - 24*l - 1348*l**2 + 7 as s*l + f*l**3 + p*l**4 + w*l**2 + i and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 80*r + 36*r = -56*r + 2900 + 3636 for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 399434 and 9373.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-4 + -15 + 14 - 5) + 21?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**3 - u + 1. Let a(r) = 0*r**3 + 6 - 4*r**3 + r**2 + 0*r**3 - 8*r. Give a(l) - 6*w(l).\nAnswer: 2*l**3 + l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 188 - 185. Suppose n*g = 52 + 470. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(12\/3)*6)\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 5 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**2 - 5*o - 5. Suppose 8*n = 7*n + 1. Suppose -l = n + 4. Give x(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6 in 10, 3\/655, -4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3991561897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/u**(-7)*u*u*u*u**(-6))**(4\/27)*u**(-3\/2)*u**0*(u**(-1))**26 assuming u is positive.\nAnswer: u**(-1445\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(17)*5)**2 - 4*sqrt(612).\nAnswer: -24*sqrt(17) + 3825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*p**2 - 94190*p + 94195.\nAnswer: -5*(p - 1)*(p + 18839)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**2 + 7*k + 8. Let a be o(-8). What is the second derivative of -8*h**5 - 16*h**4 + a*h**4 + 6*h wrt h?\nAnswer: -160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.76799318 + -0.768. Round s to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j - 5 = 5*x, -2*j - 4*x = 23 - 19 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4790.1 + -4790. Sort -4, 3, -3, 42\/5, y in ascending order.\nAnswer: -4, -3, y, 3, 42\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1417 = -t + 4*p, 0 = 2*t + 3*p - 1787 - 1025. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 909 divided by 8.\nAnswer: 909\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10514442 is divided by 309248?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4*425\/(-1632))\/((-215)\/(-86)).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*g**2\/3 + 844*g + 100488.\nAnswer: 4*(g + 159)*(g + 474)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 98 and 4802.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -240 + 245. Solve 2*k = v*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10103847 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: Suppose 528264 = 6*x - 641736. Round x to the nearest ten thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9 - 11) + (1 - 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 3, d: 3, w: 3, b: 1}. What is prob of picking 1 b and 3 k?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 2 i when three letters picked without replacement from ffiifii?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 2*r + 477. Let l(q) = -3*q. Determine l(f(d)).\nAnswer: -6*d - 1431","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add 18092112930879 and -7.\nAnswer: 18092112930872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ydaq when four letters picked without replacement from dqwywddqaq.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 159586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -50 = w - 6*w. Suppose 0*v = 5*v - w. Suppose -5*q = -5, 3*q - v*q = -5*r + 6. What is the least common multiple of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ossssssossoososooooo. Give prob of picking 2 s.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -167454 + 1508?\nAnswer: -165946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 247*h**3 + 2671*h**2 - 262*h**3 + 89*h**2.\nAnswer: -15*h**3 + 2760*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sum -9.6415066081 and 0.08.\nAnswer: -9.5615066081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 51331720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -133498, -266986, -400464, -533932, -667390, -800838?\n\"Answer: 5*i**2 - 133503*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9269.\nAnswer: 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -269 (base 12) in base 13?\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2916562*z**2 - 3374672*z wrt z.\nAnswer: 5833124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 4387361002 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3751 - 6357. Let g = b + 3940. What are the prime factors of g?\nAnswer: 2, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1464 is divided by 717.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -155*a**2 - 2025*a - 8910. Let y(s) = 2*s**2. Let g(k) = -11*k**2 - 92*k - 405. Let q(r) = g(r) + 2*y(r). Let f(w) = -45*q(w) + 2*t(w). Factor f(i).\nAnswer: 5*(i + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*b**2 + 5*b**2 - 6*b**2 + (-2 + 2 + 3*b)*(-b + 0*b + 2*b) to the form c*b + a*b**2 + h and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 29 + -18. Let r = 1 + 32. What is the highest common divisor of l and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c, 1 g, 1 b, and 1 t when four letters picked without replacement from {b: 2, c: 1, n: 1, g: 3, a: 5, t: 1}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w + 5*w - 2*w)*(-3*w - w + 3*w)*(-6*w + 3*w + w + (-3 + 3 - w)*(-1 + 1 + 1)).\nAnswer: 18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 255750, 255747, 255744, 255741, 255738, 255735?\nAnswer: 255732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 164 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.049 + -4.6.\nAnswer: -4.649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**2 + 9*t + 10. Let a be z(-8). What is the second derivative of a*d - 5*d**3 + d - 2*d + 4*d wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = 3*o + 2. Determine v(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 4*z, -5*z + 24 = g + 8. Put 3, 4, -10, 0, g in decreasing order.\nAnswer: 4, 3, 0, g, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:58 PM and 11:23 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(800))\/(5*sqrt(24)\/sqrt(6)))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -1. Let u(c) = -15*c**2 + 36*c - 10. Let x = -44 + 45. Let n(z) = x*u(z) + 2*s(z). Determine i, given that n(i) = 0.\nAnswer: 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ohoooooohoh. Give prob of picking 2 o and 1 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/33323 or 1?\nAnswer: 3\/33323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9911947, -9911943, -9911939, -9911935?\nAnswer: -9911931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from {o: 4, u: 1, r: 1, f: 5}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 31435 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iffrrfaarlrrjijl. Give prob of picking 1 l, 1 r, and 1 a.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 38*q - 1433. Give f(38).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 462 minutes after 5:21 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1030 + -1033?\nAnswer: -2123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 75978.1 millilitres in litres?\nAnswer: 75.9781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hcchcchhccc. What is prob of sequence hccc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = m**2 + 2*m + 2. Let p(j) = 2*j**3 - 1395*j**2 + 6*j + 7. Determine -p(b) + 3*z(b).\nAnswer: -2*b**3 + 1398*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 117448272 and 91348656?\nAnswer: 822137904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1b4 - 115?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -3*q - 9. Let i(f) = -f - 4. Let h be 24\/(-11) + (-28)\/(-154). Give h*r(o) + 5*i(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -j - 10*n + 5 - 41 = -23*n, 32*n + 32 = 3*j - 6*j + 33*n for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11353*c**3 - 23433*c**3 + 12074*c**3.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 take away 5.8?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 4353217 and 1573.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.357359*1.\nAnswer: -0.357359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 395582 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of (40\/(-6))\/((-293)\/(-27) - (271 - 260)) and 3672.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7193419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 32649, 65355, 98063, 130773, 163485?\n\"Answer: g**2 + 32703*g - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 5*l = 2*u - 17, 2*l - 18 = -4*u. Suppose n = 8*y - 9*y - 14710001, 0 = -u*n + 5*y - 58839995. Round n to the nearest one hundred thousand.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 821?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5249147 - -5249151.300234. Let v = 4.3 - b. What is v rounded to 5 decimal places?\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 11*h**2 + 8*h - 10. What are the prime factors of v(4)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 564, 1120, 1676, 2232?\nAnswer: 2788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -4*c - 6 - 14, -c + 4*z = 5. Let m(j) = -j**3 + 46*j**2 + 144*j + 150. Let b be m(49). Sort b, c, 5, 4.\nAnswer: c, b, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 150469.\nAnswer: 11, 13679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:54 AM and 12:08 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*n + 65 = -r, -97 = -0*n - 5*n - 4*r. Let b(t) = -10*t - 12. Calculate the lowest common multiple of n and b(-4).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -66 - -81. Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 24 and 2384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2788 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -205*x - 6478 - 82 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*l**5\/3 + 4160*l**4\/3 + 359144*l**3 - 2167360*l**2\/3 + 1085764*l\/3.\nAnswer: 4*l*(l - 1)**2*(l + 521)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a - 2. Let z = -3 - -7. Let s be w(z). Find the second derivative of g - s*g - g**3 + 2*g**3 wrt g.\nAnswer: 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1166\/33*((-18)\/(-4))\/3. What is the first derivative of -106*h + 11*h + 11 + w*h wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 345\/420 - (-1)\/(-4). Let s = 4.03 - 0.03. What is the third smallest value in o, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 21*t**2 - 1461*t + 7186. Calculate q(5).\nAnswer: 406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y = o + 6*y - 21, 4*o - 42 = 5*y. Let u = o + -3. Factor 2*k**2 - 6*k - 6 + u + 0*k**2.\nAnswer: 2*(k - 2)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -130 - -130. Which is smaller: p or 10\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 166*f - 169 = 122 + 3361 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + w = -12, o - w + 16 = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 4*m + 19, 2*o - 2*m - 7 = -o. Let w = 3 - -3. What is the third derivative of -6*z**2 - z**o - 2*z**6 + w*z**6 + z**3 wrt z?\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 4*k**2 - 12*k - 7. Let z be g(4). Solve 0 = z*c - 3*c - 6 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -13*j - 4021. Let c(d) = 15*d + 4004. What is 7*a(o) + 6*c(o)?\nAnswer: -o - 4123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2379*k + 3 + 1614*k + 1 - 5317*k + 3048*k to a*k + c and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of 93 and -7.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o**(2\/129))**(-44)\/(o**(-10)\/o*(o**13*o)\/o*o))**(-2\/33) assuming o is positive.\nAnswer: o**(950\/4257)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 55554 and 7614?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1840?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 317*z**2 - 2167*z + 95. Is y(-75) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) 1\/2 (d) -2 (e) -5 (f) 3\/1051\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*n = -9*n + 176. Are n and -46 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 6*d + 30 = 0. What is the third derivative of -h**d - h**6 - 2*h**2 + 0*h**6 wrt h?\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -200*x - 13799 = -18599 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 6493.59 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = -9 - -8.83. Let w = m + 2.17. Suppose 4*p + p + 10 = 0. What is the closest to 0.3 in -0.4, p, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -44208 - 13*y**3 + 23693 + 20515 - 3*y**3.\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 62584 = -302*t + 305*t, 0 = 5*p + 10. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 55 and 5366515.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*m**3 - 6*m**3 - 4*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5509 and 119.\nAnswer: 93653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 - 5*k**2 + 6*k - 1. Let z be x(-6). What is the units digit of (z + 101)*5\/10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 9*u**3 - 3*u**2 + 4*u - 2. What is the units digit of t(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 295062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7869 = -0*y - 5*y + 65894. List the prime factors of y.\nAnswer: 5, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 94 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 87\/8 and -31\/12088.\nAnswer: 12088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3 + 3 - (1 + 3). Let a = 2 - v. Let c = 27 - 16. Calculate the remainder when c is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*w = 6*w - 3*w - 408 for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 4541, 4537, 4523, 4493, 4441?\n\"Answer: -v**3 + v**2 + 4541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**2 + 241*v - 718. Let g be b(3). Solve 0 = -49*l + 42*l - g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:19 AM and 12:05 PM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 7128 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 88*g + 2352 = 186*g. Solve -298 + 202 = -g*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -37*c + 35*c + 2*y + 308886, 4*c - 617769 = 3*y. What is c rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 11970\/(-522) - -23 - (56\/435)\/(-2). Let d(n) be the first derivative of 14\/45*n**3 - 2\/15*n**2 + 15 - v*n**4 - 2\/15*n. Factor d(r).\nAnswer: -2*(r - 1)**2*(4*r + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/7, -8, 2, -9, 5 in ascending order.\nAnswer: -9, -8, -2\/7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 0.001, 10, -0.03, 0.6, 0.03, 0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 2136 != 44830\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b = 26592427\/366 - 72657. Let k = 8773\/5856 - b. Find the common denominator of 22\/5 and k.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 85\/7 or -84866?\nAnswer: 85\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pqap. Give prob of sequence app.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of -l**4\/4 + 3*l**3\/10 + 3*l**2\/5 + l + 5. Let z(p) be the first derivative of i(p). Factor z(s).\nAnswer: -3*(s - 1)*(5*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e, 1 n, and 1 a when three letters picked without replacement from qnyqawaneynqwaw?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -128 (base 10) in base 14?\nAnswer: -92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -6375 or -6391?\nAnswer: -6375","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 16021384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 31311 (base 7) to base 15.\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 331913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = -4*u + 2*y, -7 = 4*u + 4*y + 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 28.98051 micrograms to milligrams.\nAnswer: 0.02898051","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ob when two letters picked without replacement from {o: 4, b: 15}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -4 + 5002422?\nAnswer: 5002414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -63*j + 9. Let i(z) = -z**2 + 909*z - 4517. Let f be i(5). Let p(n) = 31*n - 4. Determine f*r(y) + 7*p(y).\nAnswer: 28*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1256 a factor of 164608890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33316542 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -210 (base 4) in base 8?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 51358 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1937 is divided by 179?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.23350519 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-880)\/(-384) - (-3)\/8. Is 4 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 10*l**4 - 685*l**3 - 30180*l**2 + 62375*l - 31520 = 0. Calculate l.\nAnswer: -32, 1, 197\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 4347 = -1347. What are the prime factors of m?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 7:42 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 118690638907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*f - 96 = 28*f. Solve 0 = f*y - 98*y + 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1*-1189\nAnswer: -118.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z + 7*z - 25. Let v be (4 - (-179)\/z) + (-1)\/(-5). Suppose l - 4*x = 76, -v = -l + 3*x + 37. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 22 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 349917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2043 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v. Let m(f) = 5*f + 15148. Determine c(m(g)).\nAnswer: -10*g - 30296","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 23, 49, 89, 149, 235?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -179*h = -34*h + 787350. Is h <= -5430?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*s + 12*s + 3488 = 107*s for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p - 2*p + 4 + p**2 - 2. Let f be 60\/24*(0 + 2). Let k be 0\/(f - 6\/2). Give v(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pb when two letters picked without replacement from lwpbl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 102.2621 rounded to 1 decimal place?\nAnswer: 102.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -88117993\/306032 + -6\/19127. Let i = 288 + u. What is the common denominator of 2\/(-3)*90\/272 and i?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 10 + -6a110c9?\nAnswer: -6a110b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 2*o + 18. Let l be c(-8). Find the third derivative of 6*j**2 - 29 + l*j**5 + 29 wrt j.\nAnswer: 120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 66 - 129\/2. Which is the closest to -1? (a) 2\/21 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + 2*m = 12. Let h(i) = 8*i - 3. Let k be h(m). Let v = -18 - k. What is the smallest common multiple of 8 and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2397808 + -2397808.0998321. Let z = b + 0.0999. What is z rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*y**3 - 3*y**2 - 60*y**3 + 3*y**2 - 29*y**3.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 677 minutes before 8:04 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4634, -9199, -13700, -18137, -22510, -26819?\nAnswer: -31064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 49, 54, 63, 76, 93, 114?\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2\/11 (b) 5 (c) -1153 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1928 and 625154.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 5*p - 0*p. Let n be 20\/(-6) - (2 - 6). What is the biggest value in p, n, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -55 + 53 + -6 + (21 - -1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence flff when four letters picked without replacement from fllfflffff?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 47*j**3 + 8*j**2 + 4*j - 6. Let y be l(4). Suppose -4*s = -3*f + y, 2*f = s + 443 + 1661. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -146 - -297. Let s = -151 + k. Solve 0 = 7*h - 3*h + 16, s = 2*t + 3*h + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 2*h, 4*n - h - 38 - 46 = 0. Calculate the remainder when 138 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8881521um in nanometers?\nAnswer: 888.1521","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 161*f + 6. Let u(r) = 322*r + 14. Let w(s) = 7*q(s) - 3*u(s). Let v(n) = 2*n. Determine w(v(y)).\nAnswer: 322*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3552)\/259)\/((2\/(-1))\/56). Solve -8*a + 56*a + h = 0 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of x**5\/20 + 7*x**4\/12 + x**3\/2 + 3*x**2\/2 + 5*x. Let r = 4 - 10. What is the units digit of z(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -12 + 10. Let a(h) = -12*h + 1. What is the units digit of a(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from nllnnnnnn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-18690)\/1335)\/(3\/(3\/2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = 4*d + 31, 0 = 3*t - 1 - 8. Let u = 12053 - 12052.9. Sort u, 4, -0.8, d.\nAnswer: d, -0.8, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 78 - (18 - 22) - 86?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*h = 3*h - 12. Let s(v) = v**3 + 24*v**2 - 2*v - 46. Let m be s(-24). Let z(u) = 26*u**m - 16*u**2 + h*u - 11*u**2 + 7. What is z(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11.437265 rounded to two decimal places?\nAnswer: -11.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4852?\nAnswer: 2, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 304, -5 in decreasing order.\nAnswer: 304, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v. Let b(o) = 80*o**2 + 81*o**2 - 285*o**2 + 90*o**2 - 4 + 2. Calculate b(n(y)).\nAnswer: -34*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*x - 62 = 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 5*w - 12. Suppose -w*u + 14 = 58. Let j = 24 + u. Is 7 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**(-6\/11)*n)\/(n\/n**(-2)))**(-23)*(n**(1\/10)*n\/((n\/(n*n**5))\/n)*n)**1 assuming n is positive.\nAnswer: n**(7331\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -168369984 by -28061664.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, 0.2, 5, -0.2, -6 in decreasing order.\nAnswer: 5, 0.2, -0.2, -6, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7730 + 69563\/9. Calculate the common denominator of -67\/92 and a.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 PM and 6:12 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -30, 582, 2 in ascending order.\nAnswer: -30, 2, 582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 32377.\nAnswer: 32377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -11b1 + 37?\nAnswer: -1177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 4.9198 + 0.0802. Which is the closest to 0.1? (a) 241 (b) f (c) -4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -8*j**2 - 10*j + 36. Calculate i(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 675 minutes after 9:32 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 430 and 1097825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 t when three letters picked without replacement from {t: 1, j: 2, m: 1, f: 2, r: 2, o: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(605)*2)**2.\nAnswer: 21780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 422 + 2*w**3 + 11*w**3 - 4*w**3 - 7*w**3 - w**3 in the form r + a*w**3 + s*w + p*w**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/393250 and -17\/6105?\nAnswer: 43650750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -6*j**3 + 0*j + 3*j - 7*j**2 + 9 + 5*j**3. Let q = 1419 - 1426. Calculate z(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 3*m = 2*m + 37, -3*r + 13 = m. Suppose -2*a - 3*n - 8 = 7, -5*a - r = -3*n. Let o be -2 + (-3 - (5292 - a)). Round o to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 132 = -3*j + 3*n, j - 4*n = 54. Let c be 196\/j + 2\/6. Solve q = c*q + 16 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**2 - 11*f - 16. Let v be w(-9). Suppose v*m - 19 = -3*j, -6 - 1 = -2*m + j. Solve -4*t = m*p - 9, 6*t - 3*p = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-1\/12)*c**(3\/2))**(-2\/13) assuming c is positive.\nAnswer: c**(-17\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -654984\/167 greater than -3923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 68483062 divided by -68483062\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (7 + (10 - 8) - -5) + -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, 5, -4, 8, -11, -0.3 in descending order.\nAnswer: 8, 5, -0.3, -0.5, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1399, -5385, -12029, -21331, -33291, -47909?\nAnswer: -65185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-43*l**4 - 21*l**4 + 15*l**4 + 0*l**4 + 3*l**4 - l**4 + (-4*l**3 + l**3 + 5*l**3)*(-2*l - 3 + 3))*(8*l - 7*l + 7*l) - 3 + 3 - 2*l**5.\nAnswer: -410*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert 53754.2 centuries to months.\nAnswer: 64505040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 + h**2 - 11*h + 4. Is 15 a factor of m(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -3*m + 4. Suppose 281 - 865 = -73*f. Let d(k) = 9*k - 13. Determine f*s(y) + 3*d(y).\nAnswer: 3*y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aga when three letters picked without replacement from {g: 9, a: 6, s: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**4 - 45*x**3 + 75*x**2 - 35*x.\nAnswer: 5*x*(x - 7)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1383? (a) -2\/9 (b) 1\/24 (c) 0.5 (d) 485\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 44\/36*2295\/(-1020)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 6*s**3 - 26*s**2 - 24*s + 52. Let r(g) = 2*g**3 - 2*g**2 + g + 1. Let u(z) = -c(z) + 4*r(z). Factor u(v).\nAnswer: 2*(v - 1)*(v + 4)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -l**3 - 4*l**2 - 18*l - 10. Let k be t(-8). Suppose 0*a - 5*a + k = 0. Calculate the greatest common factor of a and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3688464653757581027\/1368672 + -2694922270462. Let v = w + 1\/14257. Find the common denominator of v and 1\/108.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 252791?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 118, 177, 154, 49, -138, -407, -758?\nAnswer: -1191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3.40001138 + -3.4. Round b to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 92420, 184856, 277290, 369722, 462152, 554580, 647006?\nAnswer: 739430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -113941480 rounded to the nearest 100000?\nAnswer: -113900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 4*w + 0*w - 86 = 0, 3*v - 2*w + 112 = v + 3*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.772 minus -26352867?\nAnswer: 26352867.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -2*u**2 + 3*u + 2. Suppose -5*g + 0*f + 2*f + 60 = 0, g + f = 5. Suppose 0 = 2*c + 2*b - 16, 5*c + 0*b - b - g = 0. What is a(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2\/17178419 - -7970782726\/31694183055. Let g = s + -6\/205. Factor -g*k**5 + 0*k + 0 + 0*k**3 + 0*k**2 - 4\/9*k**4.\nAnswer: -2*k**4*(k + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes before 12:28 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*k + 7 + 1. Let z be (-3 - -18)\/3 - (1 - 0). Solve k*l = z*l + 4 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 252470 is divided by 4855?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -43 - -7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1131*h**2*x**3 - 198*h**2*x**2 - 2*h**2 + 6*h*x**3 - 11*h - x**3 wrt x.\nAnswer: 6786*h**2 + 36*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 237, 206, 163, 114, 65, 22, -9, -22?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (x + 4*x - 2*x)*(43*x - 24*x - 17*x + 25)*(-1 + 5 - 1)*(-3 + 0 + 2).\nAnswer: -18*x**2 - 225*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -12*p + 6. Let r(g) = -5*g + 2. Let h(k) = -3*r(k) + u(k). Let s(a) = 86*a - 4. Calculate h(s(m)).\nAnswer: 258*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 19 + 7 = 0. Is (2\/o)\/((-1)\/(-69)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 40.4 + -46. What is o rounded to 0 dps?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 925 - 915. Suppose 2*r - 5*r + 51 = 0. Calculate the remainder when r is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y*y**0)\/y)**(3\/16))**46 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = n. Let z be w(-2). Let f be 3\/z*(-2)\/(-3). What is the units digit of (f + 1\/2)*-8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**2 + 2*w - 2. Determine t(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -33, -34, -4, 21 in descending order.\nAnswer: 21, 1, -4, -33, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -396003, -0.11, -2 in increasing order.\nAnswer: -396003, -2, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (13 + 175*w + 3 - 14)*(6*w**2 - 3*w**2 - 4*w**2 + (-3*w**2 + 3*w**2 + 2*w**2)*(-2 + 7 - 3)) in the form d*w + g*w**3 + a*w**2 + v and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -95 - 17 = -4*q. Calculate the greatest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*y - 10 - 8. Let x = y - 4. Suppose k = -t - 3*k - 5, 2*t = x*k. Which is greater: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*j - 3 + 10485*j**2 - 10478*j**2 + 0*j + (5*j**2 - j**2 - 2*j**2)*(-5 + 6 + 0) - 3 - j**2 + 3.\nAnswer: 8*j**2 - 4*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (7 + -1)*(-42)\/(-84)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 154400200, 154400204, 154400218, 154400248, 154400300?\nAnswer: 154400380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -615*l + 48 = -603*l. Put 13, l, -2 in descending order.\nAnswer: 13, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 - 3*f**2 + 4*f - 21. Let j be n(-5). Suppose -3 = -s + j. Let d(g) = g**3 - 12*g**2 - 2*g + 18. Give d(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-35)\/(-7))\/(10\/12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 7\/5? (a) 3 (b) 349 (c) 0.119\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -6, 3, 5, 2 in descending order.\nAnswer: 5, 3, 2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 35875 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 340*g + 81 = 344*g, 5*a - 5*g + 105 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/2)\/(23\/(-46)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 4*p = -1, 5*t - 3*p = 5 + 23. Let g be ((-56)\/(-20))\/((-1)\/(-10)). Suppose -d - t*n = -g, 5*d + 4*n + 13 = 111. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in 3523877, 1, -2, 1\/43?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 61335452 is divided by 106485?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 92 and 782.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 141821840 divided by 600940?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (112\/20*790\/(-948))\/((-30)\/(-9)*1).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1871, -1924, -1969, -2000, -2011?\nAnswer: -1996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 124566*p + 260. Let r(y) = -3*y + 1. Let h(s) = -a(s) + 65*r(s). Let f be h(5). Round f to the nearest 10000.\nAnswer: -620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 66439244 is divided by 33219614.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 14, 24, 32, 38, 42, 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2203\/3 + 735. Which is the third biggest value? (a) 4 (b) -0.3 (c) q (d) -0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + -7 + (132 - 143 - (-2 - 1)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 3*x - 29. Let b be o(9). What is the hundreds digit of ((-2 - b) + -31)\/((-7)\/28)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - 0) + 4 + (1 - 0) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 67 - 136. Let g = s + 69.042. Let r = -0.0364 + g. Round r to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + ((sqrt(704)*1 + sqrt(704))**2 + -2 - (-2 + sqrt(704) + 1 + sqrt(704))**2) + -1.\nAnswer: -1 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-360)\/26)\/((-2320)\/12064).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the first derivative of -t**4\/4 + t**2\/2 + 4713. Let z = -11 + 14. Let u(i) = -4*i**3 + i**2 + 7*i. Give z*f(s) - u(s).\nAnswer: s**3 - s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 8513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the third derivative of -3*b**6\/40 - b**5\/30 + b**4\/4 + 3298*b**2. Let v(a) = -a**3 + a**2 + a. Determine s(t) - 6*v(t).\nAnswer: -3*t**3 - 8*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of (-2 - 4)\/(-6)*18 and 20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 2\/3, -1.97 in increasing order.\nAnswer: -4, -1.97, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = y**2. Let k(u) = -4131283*u. Determine k(b(p)).\nAnswer: -4131283*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0 from 280241.\nAnswer: 280241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 9) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 107624 divided by 24\nAnswer: 13453\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + 14. Let v = 29 - q. Suppose 0 = -3*z + 3*y - 9, 3*z = -0*z + 4*y - v. Solve m - z*m = -1 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) be the third derivative of -f**4\/24 - f**3\/6 - f**2. What is x(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -1. Let r(x) = 5*x - 1. Calculate a(s) + r(s).\nAnswer: 5*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 139894?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -13*d**3*o**2*z + d**3*o - 32*d*o**2*z + 53*d*o**2 with respect to z.\nAnswer: -13*d**3*o**2 - 32*d*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 e, 1 b, and 1 t when four letters picked without replacement from {e: 2, b: 1, t: 1, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 47185472 a multiple of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23*p - 8 + 11 + 57*p + 30.\nAnswer: 80*p + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00542675 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) be the second derivative of 7*q + 0*q**2 - 2\/3*q**3 + 1\/15*q**6 + 0*q**4 + 0 + 0*q**5. What is the second derivative of h(w) wrt w?\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = h**3 + 13*h**2 + 10*h - 16. Let q be m(-12). Solve -q = 3*l - l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -243 = -8*a + 1837. What is the hundreds digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(288)*-2)\/(sqrt(15)\/(sqrt(15)\/sqrt(3))))\/((1*sqrt(72)\/sqrt(2))\/((1*sqrt(132) + sqrt(132))\/sqrt(11))).\nAnswer: -16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -103*f**2 + 103*f**2 - 478*f**3 + (4*f**2 - 3*f**2 + f**2)*(-f + 6*f - 4*f) to the form t*f + s + v*f**3 + c*f**2 and give v.\nAnswer: -476","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 2 + 2)*(6 - 6*p**4 - 6 + p) as k + g*p**4 + u*p + l*p**3 + w*p**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4255358 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 - -1 - (4 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhxxhh. What is prob of picking 2 h and 1 x?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-11)\/w**(-2\/7))\/(w**6\/w*w**(5\/6)) assuming w is positive.\nAnswer: w**(-695\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.08 and 234.\nAnswer: 18.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -23\/120 and -13\/4.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 524, -2, 7190 in descending order.\nAnswer: 7190, 524, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 5*u. Let b = -112 + 97. Let q be (-1)\/(-3) - 25\/b. Let y(w) = 82*w**2 - 162*w**2 + 79*w**q. Give y(o(m)).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 5777972341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2547197826?\nAnswer: 2, 3, 67, 6336313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16439 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*m**3 + 243370*m**2 - 2964123100*m + 65092970360.\nAnswer: -5*(m - 24326)**2*(m - 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 34\/16*20\/6 and (0 - 6) + 1090\/40.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = 5*r**5 + 9*r**4 + 25*r**3 - 27*r**2 - 6*r - 6. Let s(u) = 4*u**5 + 7*u**4 + 25*u**3 - 26*u**2 - 5*u - 5. Let j(q) = 6*s(q) - 5*w(q). Factor j(x).\nAnswer: -x**2*(x - 3)*(x - 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 62678411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 168191 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 98643026 is divided by 344.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 21334*o**3 - 7*o**2 + 15*o - 9. Let g be d(1). What is the highest common divisor of 39 and g?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4185 - 4202.009. Let u = 17 + d. Let l = u + 0.1. Round l to 2 decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in thirty-seven halves of a centimeter?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-13)\/(-39) + 151\/(-3). Let h = -64 - m. Is h equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) 0.012 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 91\/146500 and 9\/30472?\nAnswer: 3809000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(117) - sqrt(117)*1)*3 - sqrt(117))\/sqrt(9) + 0)**2 + -5 + (sqrt(13) - (sqrt(468) + -1)) + -5.\nAnswer: -5*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = -i + 4*x - 10, -2*i = -5*x + 33 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -151910 - -273979. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14 + (-5 - (21 - 6)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10020 + 21000000211000?\nAnswer: 21000000200210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 30 - 2 - (-876 - -867)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*r**2 + 2*r + 0*r**2 + 0*r - 7*r.\nAnswer: 2*r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 5, -3, 2\/5, 0, -2, -0.5, 20\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 921100 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:26 PM and 6:57 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0808 times -1601.26?\nAnswer: -129.381808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 2*w**2 + 10*w + 12. Give m(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4027756283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21200100 + 112000110?\nAnswer: 20100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5 and -1308755?\nAnswer: -6543775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**0)**(3\/23)\/((k*k**(-2\/3))\/k)**(2\/5)*((k*(k*k\/k**(-1\/4))\/k*k)\/((k\/(k*k\/((k\/k**(-1\/5))\/k)))\/k))\/(k**(-5\/4)*k*k**(-3)) assuming k is positive.\nAnswer: k**(257\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 2\/9, -426, 0, -2\/5, 2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 - -de85b?\nAnswer: de857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 7\/(-28) - (-26)\/(-24)*-3. What is the second derivative of 0*w**2 - 22*w + 40*w - 121*w**h + 2*w**2 - 17*w - 17 wrt w?\nAnswer: -726*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*v = -10*v - 15. Let f(z) = 1 - v*z**2 - 8*z + 7*z - z + 0*z. Give f(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 12 - (-2 - (2 - 12)) - 23\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4139624 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aefaltefo. What is prob of sequence lf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 6*t + 60 = 0. Suppose -z - 3*j + t = 0, -4*z + 5 = -3*z + j. Solve z*c = -c - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p**2 + p - 1. Let l = -16 - -14. Let s be k(l). Let m = 143 - 143.1. What is the fourth smallest value in m, s, -3, 3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1010100010011110010 (base 2) to base 7\nAnswer: 2635536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*k**2 - 15648*k - 12185856.\nAnswer: 3*(k - 5904)*(k + 688)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -57 (base 15) to base 10\nAnswer: -82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 4637a8 (base 14) to base 15\nAnswer: 323914","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(192) + (sqrt(192) - 1*sqrt(192)))**2 + sqrt(192) + ((sqrt(9)\/sqrt(3))**2 + -1 - sqrt(3)) + -1 + 1.\nAnswer: 7*sqrt(3) + 194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -41 + 53 - 69*y**2 + 11*y - y**3 + 74*y**2. Suppose 2*r - 46 = 20. What is the smallest common multiple of a(-2) and r?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 17652260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000384985 rounded to six decimal places?\nAnswer: 0.000385","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.51748 from -1.01005.\nAnswer: -1.52753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 6*a - 35. What is o(7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14*((-24)\/10)\/((-243)\/405).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -3*t + 2*t - 18870*t**3 + 2 + 18880*t**3 - t**2 + 5*t**4 - 3 in the form z*t + k*t**2 + r*t**4 + p*t**3 + y and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*f - 2*f + 90 = 0. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 3)*(2 - 2 - 2)*(-107 - 46 - 46)*(5 - 3 - 4)*(-2 - m + 2).\nAnswer: 1592*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1361*a + 31831*a**2 + 1495*a - 2856*a to the form w + v*a**2 + u*a and give v.\nAnswer: 31831","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine g so that -3*g**3\/7 + 997509*g**2\/7 - 287095968*g\/7 + 20666430720\/7 = 0.\nAnswer: 144, 332215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32176 + 642*r + 32176.\nAnswer: 642*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*g - 22*g = -680. Let c(x) = -x**2 - 11*x + 15. Let v be c(-12). Suppose -4*s - n - g = 4*n, -v*s - 40 = n. Is s smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2, 160, 2\/15, -6\/13 in decreasing order.\nAnswer: 160, 5, 2\/15, -6\/13, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 54 + -37. Let b = -9 + c. What is the nearest to -1 in b, 0.2, 4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + -12 + 8 + (-3 - 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gpqpgkrqgqpqgrgg. What is prob of sequence gkp?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = -33 - 9. Let c = -9 - -27. Let z be (c\/l)\/((-2)\/14). Solve 0 = 2*o - 3*o + g + 4, 3*o = g + z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of 8*d**6\/15 + d**5\/5 - 4*d**4\/3 - 2*d**3\/3 - 8*d. Factor u(s).\nAnswer: 4*s*(s - 1)*(s + 1)*(4*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*c**3*q + c**3*t**3 - 5*c**2*t**3 + c*q*t**2 + 12*c*t**3 - 6*q*t**3 wrt q?\nAnswer: -4*c**3 + c*t**2 - 6*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33 is divided by 18*1 - 0\/7.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -25965, -1 in decreasing order.\nAnswer: -1, -4, -25965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 - 5 = -4*m. Let a be (m\/(-4))\/((-1)\/(-378)). Let q be 4\/18 - (-96)\/a. Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.5? (a) -0.2 (b) -0.149 (c) -4\/13 (d) -13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -3169, -12689, -28557, -50773?\n\"Answer: -3174*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 48 = -2*t. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -92 times 0.2?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 69450 and 83340?\nAnswer: 416700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2 (b) 5\/4 (c) 5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 54 is divided by 35.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:53 PM and 9:12 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 3*m**3 - 5*m**2 + 3*m. Suppose -20*d + 6 = -17*d. Let t be w(d). Solve 3*r - r + t = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -8558, -34539, -77954, -138803, -217086, -312803?\n\"Answer: -8717*k**2 + 170*k - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-6840)\/48)\/(-15))\/(11\/(-24 + 2)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express 25*l - 28*l - 2*l**2 + 6*l - 2*l - 188*l**3 in the form w*l + u*l**2 + d + h*l**3 and give h.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2 (b) -1611 (c) -2\/11 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**2 - 7*m - 3. Let b be d(-5). Let u be (-90)\/20*8\/(-6). Which is smaller: u or b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/4*(-80)\/12. Solve 2*y + a = -3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 2*c - 2, 4*m - 5*c = -0*c - 5. Suppose -4*h = 2*f + 4, m = -f + 4*h - 4 + 26. Suppose -2*x = -f + 2. Solve -4 = u - x for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -2712, -10776, -24216, -43032, -67224, -96792?\n\"Answer: -2688*f**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 2*o - 2*o - 2*o + 0*o + 3*o - 4*o + (4 - 1 - 4)*(o + 3*o - 3*o) + 3*o - 3*o - 2*o - 12 - 272*o + 2 + 274*o in the form z + b*o and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = q + 3*o, 0 = o + o - 8. Suppose u - 385 = -q*f, 3*f - 381 = -5*u + 207. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43 + -87 - -41 - (18 + -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 152409 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -776, -1554, -2332, -3110, -3888?\n\"Answer: -778*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 58?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -9*k + 8*k + 11220*k**3 + 2*k**2 - 10840*k**3 - 13*k**2 in the form q*k**2 + t + p*k**3 + x*k and give p.\nAnswer: 380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1290584, -2581172, -3871760, -5162348?\nAnswer: -6452936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.1, -8.296, 0.06, -3, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 3562\/22605 + ((-4)\/(-22))\/(-2)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + f**2 - 1 + f**2 + 2*f - 2*f + (-f - f + 0*f)*(-2 + 2 + f) + 27*f**2 + 17*f**2 - 59*f**2 to s*f + y + n*f**2 and give n.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*g**4 - 110*g**3 + 495*g**2 + 3140*g + 3500.\nAnswer: -5*(g - 7)*(g + 2)**2*(g + 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*u + 3*u**2 + 0*u + 4838 - 4838.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (697*o + 621*o + 1226*o - 855*o)*(2 + 1 + 0)*(-o**3 + o**3 - 2*o**3) as f*o + w*o**3 + n*o**4 + l*o**2 + k and give n.\nAnswer: -10134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 259546033.\nAnswer: 61, 4254853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 19348894?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k - 1. Let r(p) = 265*p + 4. Let a(l) = -3*h(l) - r(l). Let b be a(-1). What is the common denominator of -2 - b\/84*2 and 57\/2?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = 245*r**2 + 9*r + 31. Let c be o(-2). What is the greatest common factor of c and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -c2 (base 13) to base 14.\nAnswer: -b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 496*v. Let j be o(5). Suppose 4*s + 0*s + j = 0. What is s rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-55685)\/(-3182))\/(-2 + (-18)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -356*a - 1212 + 3060 = -1356. Solve -45 = -15*b + 20*b + 5*v, a*b = -3*v - 51 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4452132 a multiple of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -42 - -62. Determine d so that 48*d**2 + 21*d**3 + 53*d - k*d + 0 + 6 = 0.\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2999 a factor of 39448846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(-5\/2))\/(i**(-4)*i)*(i\/(i**(-4)*i))\/((i\/(i**3\/i))\/i) assuming i is positive.\nAnswer: i**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = -2 + 2. Suppose -5*d + 5 + 5 = a. What is the remainder when 3 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 3*j + 5. Let q(f) = 7*f + 13. Let a(g) = -5*p(g) + 2*q(g). Calculate a(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 19*7\/6 - (-3)\/(-2). Is m less than 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (9*96\/(-936))\/(4\/(624\/(-9)))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-4)\/4)\/((-1)\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 1\/13, 0.8 in descending order.\nAnswer: 0.8, 0.3, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = -99.1 - -99.2. Suppose -2*c + 16 = -5*h, 3*h + h - 1 = -3*c. What is the third biggest value in 0.4, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 minus 0.2637?\nAnswer: 0.7363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, t: 2, j: 1, c: 1, l: 1, a: 2}. What is prob of picking 1 j and 1 g?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-70*(-3)\/(-3906))\/((-5)\/6).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 5, 92809, -2.\nAnswer: -2, 0, 5, 92809","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 72*a**2 - 2 - 5*a**3 + 8*a + 1 - 72*a**2 in the form c*a**3 + b*a + q + l*a**2 and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1625 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 18183 + -18179. What is the second biggest value in -14, 0.26, h?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + -5 + 9 - (-49 - -37)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 94 + -24. Does 26 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = -5*d - 3. Let u be (d\/14)\/((-60)\/28). What is the second biggest value in 1, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 33*c + 567. Let i(h) = -4*h + 2. Let j(x) = -7*i(x) + q(x). What is the first derivative of j(o) wrt o?\nAnswer: 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 1:20 PM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.4*-0.463\nAnswer: -0.1852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 3)*(-5*n**2 + 0*n**2 + 4*n**2) - 5*n**2 + 5*n**2 - 4*n**2 + (-3*n - n + 2*n)*(2*n - 2*n + 2*n) + 2*n - n**2 - 2*n.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 38, 43, 46, 41, 22, -17?\n\"Answer: -x**3 + 5*x**2 - 3*x + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4*(-3)\/(-12))\/((-2)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1576135, 3152269, 4728403, 6304537?\n\"Answer: 1576134*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**2 + h + 2. Let k(q) = -129*q**2 + q**3 + 130*q**2 - 2 + 2*q - 2*q**3. Let l be k(1). What is o(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 215 from -2.9565.\nAnswer: -217.9565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*f**2 - 24*f + 12.\nAnswer: 3*(f - 2)*(3*f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the third derivative of -y**5\/60 + y**4\/8 + 11*y**3\/6 + 63*y**2. Is n(3) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33 - (-41 + 67 + -29).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*p - 6*p + 9*p + p + 0*p + p + (-1 + 1 + 2*p)*(-2 + 0 + 0))*(0*p + 0*p - 3*p)*(1 + 1 + 0).\nAnswer: -30*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-o + 0 + 0)*(-7059*o**3 - 12*o**2 - 11794*o**3 + 12*o**2) to v*o**2 + f*o + b*o**3 + t*o**4 + q and give t.\nAnswer: 18853","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -87*a**3 + 87*a**3 - 27*a**5 - 2*a**5 + 0 + 0 + (0*a**3 + a**3 + a**3)*(3*a**2 + 0*a**2 - 4*a**2) + 0*a**2 + 0*a**2 - a**5.\nAnswer: -32*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1861209358 to the power of 1\/2, to the nearest integer?\nAnswer: 43142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1055 + -1053. Solve h - 6 = y*j, -5*j - 3*h + 5*h = 16 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -3, -0.09, -0.4.\nAnswer: -3, -0.4, -0.09, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000008336212 rounded to 7 dps?\nAnswer: 0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/((c\/(c\/(c**(1\/7)\/c)))\/c)*c\/(c\/(c\/((c*(c*c\/c**(-1\/2))\/c)\/c))))**(-2\/27)*c**(-13)\/(c**(-2\/5)\/c**(1\/7)) assuming c is positive.\nAnswer: c**(-3979\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Is 278537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*u**4 + 4*u**4 - 3*u**4)*(-554*u - 283*u - 991*u - 597*u).\nAnswer: -2425*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -281 + 281 + 4*f as t*f + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -61828, -61779, -61698, -61585, -61440, -61263, -61054?\nAnswer: -60813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13148 + 13145. Which is the third smallest value? (a) -0.4 (b) 1 (c) t (d) -1\/6 (e) 0.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**2 + x - 7. Let d be f(3). Suppose -5*g - 4*q - 771 = -8*g, 0 = d*g + 4*q - 1317. What are the prime factors of g?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**3 + 0*j + 0*j)*(-2*j**2 - 1 + 1) + (2 - 1 + 0)*(-j + 4*j + 0*j)*(2*j**4 + 0*j**4 - 6*j**4).\nAnswer: -16*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 173614 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Subtract -48.9878997 from -9.\nAnswer: 39.9878997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the first derivative of i**3\/3 - 5*i**2 - 4. Let p be r(10). Suppose 2*b - 5*c + 12 = p, 3*c + 5 = 17. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9\/((-126)\/(-56))*((-9)\/18)\/(2\/12).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - -6602.6877881?\nAnswer: 6597.6877881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be 492\/(-9) - 4\/(-6). Is 38 a factor of (-9)\/w - (-2)\/((-12)\/(-1139))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + l - 118 = 0, 5*v - 149 = -3*l + l. Suppose 43 + v = 6*z. What is the highest common divisor of 8 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 2*l**2. Let t(m) = 52*m**2. Determine k(t(u)).\nAnswer: 5408*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 47, 270, 617, 1088, 1683, 2402?\nAnswer: 3245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1516*j**2 - 1486*j**2 + 2998*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -129426.557 rounded to the nearest one hundred?\nAnswer: -129400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -2008867 times -1\nAnswer: 2008867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 + 4*l**2 + l + 2. Suppose 0 = 9*d - 4*d - 500. Suppose 0 = -d*r + 97*r - 9. Determine b(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15098244?\nAnswer: 2, 3, 7, 17, 97, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -510 divided by 102\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*l**3 + 5*l**2 + 4*l**3 + 5 - 7 to the form b*l**2 + h*l + t*l**3 + w and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 11 (b) 0.04 (c) 1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 156306 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8854632?\nAnswer: 2, 3, 23, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 - 1. Let p(k) = k**3 - 3*k**2 - 5*k - 1. Let g be p(4). Sort -3, g, b in decreasing order.\nAnswer: -3, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 83.75841 millennia to years.\nAnswer: 83758.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9686 is divided by 1931.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 38202 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -652*p**3 + 2030*p**3 - 668*p**3 - 571*p**3.\nAnswer: 139*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = -101\/5 - -20. What is the third biggest value in p, 0.5, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -30448, -30453, -30458, -30463, -30468, -30473?\nAnswer: -30478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -11*c**5 - 371*c**4\/2 - 814*c**3 - 602*c**2 - 120*c = 0.\nAnswer: -10, -6, -1\/2, -4\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.2 + 2.19989. What is j rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:09 AM and 8:51 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 193 - 174. Let d be 5*(32\/10)\/1. Let u = d - a. Which is smaller: -10\/3 or u?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = 2*c**3 + 0 - 3*c**3 - 6*c + 1 + 7*c**2. Let q be n(6). Let m be q*-18*5\/(-5). Solve 5*l - i = m, 0 = l + l + 4*i - 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.5, 2\/3, -0.12, 1?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 537550, 537513, 537452, 537367, 537258?\n\"Answer: -12*i**2 - i + 537563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 18649 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 84206?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 319 a factor of 424270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 90\/(-36)*3\/((-30)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 67\/4 + -18. Let f = 0.1 - 0.2. Let p(u) = u**2 - 2*u - 3. Let l be p(4). Which is the second smallest value? (a) l (b) q (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13576113413 + -5072.\nAnswer: -13576118485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 + 6*n - 9. Let o(x) = -8*x - 1. Let s be o(-1). Let l be g(s). Suppose 5*u - l = 3*u. What are the prime factors of u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that -171*d**5 + 383232*d**4 + 1104237*d**3 - 423714*d**2 - 902016*d - 161568 = 0.\nAnswer: -3, -2\/3, -4\/19, 1, 2244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*f**3 + 3258*f**2 - 4090130*f + 12241014.\nAnswer: 2*(f - 829)*(f - 3)*(f + 2461)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*o - 2*x + 27, 3*o + x - 16 = -0. Suppose -31 = -o*z + 2*m, -2*z + 5*m = 18 - 43. Solve 5 = -z*p + 4*p - 2*a, -4*p - 3*a + 5 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 558, 757, 1054, 1449, 1942, 2533, 3222?\n\"Answer: 49*q**2 + 52*q + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-8)\/3*(-7)\/(14\/(-18)). Let i be (-30)\/9*g\/20. Let p = 282 - 274. Solve -2*s - 4*h + p = -8, -i*s = -3*h + 23 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f + 145 - 13. Let o be f*2\/(-4)*400. Round o to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*m**3 - 3*m**3 + 2*m**3)*(5*m**2 - 4*m**2 - 3*m**2) + (-2*m**2 + 1 - 1)*(16*m**3 - 17*m**3 - 16*m**3).\nAnswer: 30*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/23 and 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -87689 > -87648?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be 276\/(-60) - (5 + 69\/(-15)). Sort a, 57, -3, 2 in decreasing order.\nAnswer: 57, 2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -9\/4, -4, -10.36, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-108)\/(-342) - 86\/152. Let r = -5 + 7. Let q = r - 6. Which is the nearest to -2\/7? (a) q (b) 1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 231*t - 230*t = 3*j - 4, -4*j = -t - 6. Let l(w) = 9*w**2 + 3*w + 1. Let k(z) = 18*z**2 + 7*z + 2. Give t*k(f) - 5*l(f).\nAnswer: -9*f**2 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 43256398 and 14.\nAnswer: 302794786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*p**3 - 103*p + 811.\nAnswer: -9*p**2 - 103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59543961.\nAnswer: 3, 2927, 6781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ppn when three letters picked without replacement from piipnppfpiipipippip.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-4)\/((-110320)\/21)*-8. Which is smaller: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3144783 is divided by 262.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -40 + 15. Let l be (-1 + 1)\/(-3) - x. Suppose 0 = 3*i - 11 - l. Calculate the greatest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**3\/6 + 1172*l**2\/3 - 1361789*l\/6 - 6926645\/3.\nAnswer: -(l - 1177)**2*(l + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 387321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 less than -203?\nAnswer: -202.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in -2.2, -1, -4, 3, -1.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 158199\/3902242*-4*(-2)\/6.\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**6\/g**(-5\/6)*(g**(-1))**(19\/5))\/(((g**(-1\/7)*g*g)\/(g\/g**(-4\/9)))\/(g*g**1)**(2\/43)) assuming g is positive.\nAnswer: g**(73513\/27090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 4, t: 6, g: 1, c: 3}. Give prob of sequence ycc.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11771, 23542, 35313?\nAnswer: 47084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -148 - -232. Suppose 3*d + a = 5*a + 127, d - 4*a - 53 = 0. Let v = g - d. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 6, i: 3, d: 3, z: 1, g: 1, c: 1}. Give prob of picking 1 c and 1 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 17, p: 3}. Give prob of picking 2 c.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 3599, -1, -6, 1 in ascending order.\nAnswer: -6, -1, 1, 3599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 129391 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes after 5:01 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tcw when three letters picked without replacement from wztrwcrq?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u - 35 + 130 = 5*c, -5*c - 2*u = -80. Suppose -c = -3*p + 1. Solve p*v = -0*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*x - 8*x + 0*x)*(0*x**4 + x**4 + 0*x**4) - 2*x**5 + 0*x**5 + 3*x**5.\nAnswer: -4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -15001602 (base 7) to base 3\nAnswer: -2122202111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 153312 is divided by 38323?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 60 - 55. Let t = 0.4 - 1. Let z = 0.4 + t. Which is the closest to 3? (a) -0.1 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -1061, -5, 1, -2 in descending order.\nAnswer: 2, 1, -2, -5, -1061","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 32972.29 + -1?\nAnswer: 32971.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6 - -6. Let w = -5 - t. What is the nearest to 0 in 2\/11, w, 2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 102869550 and 2593350?\nAnswer: 308608650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 - 6*y**2 - y - 4. Let z(m) = -2*m**2 + 19*m - 15. Let d be z(9). Let x be u(d). Factor -s**x + s**4 + 2*s**3 + s + 3*s - 3*s - 3*s**3.\nAnswer: s*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 20035813*c*h**2 + 8665370*c wrt h?\nAnswer: 40071626*c*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 1 + z**3 + (0 - 2 + 1 + 2*z)*(-254 - 2342 + 127)*(-2*z**2 + z**2 + 2*z**2).\nAnswer: -4937*z**3 + 2469*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -3*z - 5. What is i(-10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a, 1 k, and 1 i when three letters picked without replacement from kkikdakakkkaakaaaak?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 10045388 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i = -2 + 29. Suppose -2*f + 3*t = -i, -2*f = -f + 5*t + 19. Calculate the least common multiple of 2 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21232897 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2086\/2481 or -0.5?\nAnswer: -2086\/2481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1258165137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 3, 2, 4, 23 in decreasing order.\nAnswer: 23, 8, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 41 = 2*h - 3*h, 3*h - 5*q - 95 = 0. What is the remainder when (-492)\/36*(-44 - -2) is divided by h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -61, -307, -979, -2293, -4465, -7711, -12247, -18289?\n\"Answer: -36*k**3 + 3*k**2 - 3*k - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 60938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*s**2 + 255952*s - 511896.\nAnswer: -2*(s - 127974)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -6128, -8238, -10348, -12458?\n\"Answer: -2110*m - 4018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 110 minutes before 1:24 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 3 + sqrt(448) - (4*sqrt(448) + sqrt(448) + -3))**2*-4.\nAnswer: -28708 + 768*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 1500*w = 1817*w + 12363 for w.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m*m*m\/(m*m**(23\/4)*m))\/(m*((m\/(m**(4\/9)\/m))\/m)\/m))\/((m*m**(-37)\/m*m)\/(m*m**(-20)*m)) assuming m is positive.\nAnswer: m**(493\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1889 - 1890. Let v(x) = -x**2 + x + 1. Let p(g) = -20*g**2 + 12*g + 12. Determine c*p(z) + 12*v(z).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(408)\/(-1*sqrt(432)))\/(sqrt(40)\/sqrt(5)*4).\nAnswer: -sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -1320*k - 785 + 370 + 415 as t*k + x and give t.\nAnswer: -1320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1073 - -82?\nAnswer: -cc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 6*d**2 + 1. Let t = -436 - -435. Determine h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify t**(-1\/2)*t**(-3\/14)\/t assuming t is positive.\nAnswer: t**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.197702 rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5.55 + 5.05. Which is the third biggest value? (a) u (b) -10 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-770)\/33)\/(-7))\/(98\/(-42)).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.043734 times 3.01?\nAnswer: -0.13163934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 31, 3, 2\/229, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + 36. Let w = h + -44.0115. Round w to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -84 + 40. Suppose 0 = 3*r + 5*x - 176, -r + 34*x + 52 = 39*x. Let i = r + o. What is the greatest common divisor of i and 54?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 71137 and 223.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = -2*q + 4. Let m(t) = -3*t - 3. Let y(n) = -2*n - 2. Calculate q*y(x) - 3*m(x).\nAnswer: x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 0.5, -1\/96, -0.5, 1\/8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -2\/13 (b) -1.59558 (c) -0.1 (d) 30 (e) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -29, -1, 4, -7 in decreasing order.\nAnswer: 4, -1, -7, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10626 and 10164.\nAnswer: 233772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -57\/410 and -45\/23538838.\nAnswer: 117694190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 29*a**3 - 11*a**3 - 41770*a**2 + 20882*a**2 + 20888*a**2.\nAnswer: 18*a**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1423106368?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of k**5 + 341*k**4 + 3446*k.\nAnswer: 20*k**3 + 4092*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one halves of a minute in seconds?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -3\/2 (c) 32\/7 (d) 0.03 (e) -52\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 12, h: 2, a: 2, l: 1, u: 3}. What is prob of sequence az?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4226 divided by 3\nAnswer: 4226\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.15 and -3968.\nAnswer: 595.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaua when four letters picked without replacement from aauaaaaaaaaa?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u - 5 = -u. Suppose g = -u*v + 105, 2*v - 75 - 127 = -2*g. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4557 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 308 + -465. Which is bigger: u or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:40 AM and 11:01 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -299, -595, -899, -1223, -1579?\nAnswer: -1979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 7*i**2 + 9*i - 5. Let a(z) = -20*z**2 - 24*z + 14. Let y be 16*3*4\/(-24). Let v(u) = y*r(u) - 3*a(u). Let p(b) = b**2 - 1. Give 2*p(c) - v(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -2*s + 19. Let g be v(0). Calculate the greatest common factor of 209 and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -149 times -27?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -47 + 47. Suppose f = 4*p - 4*d - 36, -4*d + 4 = -p - 2. What are the prime factors of -1 - 1073\/(-9) - p\/63?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 203, 388, 697, 1130, 1687, 2368?\nAnswer: 3173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/1272 and 43\/322455?\nAnswer: 136720920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 313710177?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 188150 is divided by 46540?\nAnswer: 1990","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1008 divided by -126?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -163444 = -44*f - 162696 for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -621*w + 635*w = -15 - 41 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) be the first derivative of -w**6\/36 + 7*w**5\/30 - 3*w**4\/4 + 11*w**3\/9 - 13*w**2\/12 + w\/2 + 7. Factor x(t).\nAnswer: -(t - 3)*(t - 1)**4\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 2 - ((-25)\/(-10) - 9\/2). Factor 0 + 1\/3*s - 1\/3*s**2 - 1\/3*s**3 + 1\/3*s**z.\nAnswer: s*(s - 1)**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3 + -6. Let p = 3 + g. Let y(f) = 6 + 0*f - 7*f + 6*f. Calculate y(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 60 = 4*t, 25 = t - 5*u + 6. Let y(l) = 2*l - 25. Calculate the smallest common multiple of 15 and y(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -4209, -4298, -4389, -4482?\n\"Answer: -o**2 - 86*o - 4122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 448.689 kilograms?\nAnswer: 448689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 257.2146kg in micrograms?\nAnswer: 257214600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Do 58 and -569.9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of l**5\/60 - l**4\/12 + l**3\/6 - 9*l**2. Calculate o(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1.08? (a) -3 (b) -23 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124384 = -2*c + 18*c. Suppose 5*h + c = 45549. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = 36*d. Let o(q) = -9*q. Let i(r) = -21*o(r) - 5*w(r). Let g be i(3). Suppose 0 = -p + 5*b + g, 77 = 5*p - b - 34. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14 + 9. Sort o, 3, -138.\nAnswer: -138, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 1723?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express (5*u**2 - 3*u**2 - 4*u**2)*(8*u - 4*u + 4*u - 2) as q + f*u**2 + r*u + w*u**3 and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1253 is divided by 96.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3247538952?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -27*a + 136. Let v(b) = -7*b + 34. Let d(h) = 2*t(h) - 9*v(h). Let p be d(4). Solve 0 = -2*m + p*q - 5*q - 15, -15 = 5*q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22 and (-2)\/(10\/12 - 1).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-2\/3))\/(o*o*o**(-2\/47)) assuming o is positive.\nAnswer: o**(-229\/141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 269 is divided by 59.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -6.8722 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -1 + ((sqrt(117)*-3)\/sqrt(9))**2.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -484, -1782, -3944, -6970, -10860, -15614, -21232?\n\"Answer: -432*g**2 - 2*g - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express k**2 - 1 + 2 - k**3 - 4 - 3*k**2 as s + b*k**3 + n*k + m*k**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -r**3 - 38*r**2 - 95*r - 583. What is the remainder when h(-36) is divided by (-78)\/(-24)*4*6 - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g = 22 + 3. What are the prime factors of g + -1 + -1 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2204 - -1166. Suppose w + 10 = -w, 0 = 5*p - 5*w - s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most as big as 2\/353427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 606 and 18000018.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 164550064 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the third derivative of -21*l**6\/40 + l**5\/60 - 11*l**4\/24 - 7*l**3\/6 + 15*l**2. Let j be r(-3). Let p(w) = -3*w**2 + 1736 - j. What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*a*t**3 + 1836*a*t**2 - 3216226*a - 8*t**3 wrt t?\nAnswer: 6*a*t**2 + 3672*a*t - 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 5*t = -1 - 15, -5*s + 2*t = 37. Let b(f) = -f**3 - 10*f**2 - 8*f + 13. Let w be b(s). Let j be (-100)\/(-6)*6\/w. Solve 2*u + 3*u + j = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-5 - (-1 + -2)) + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16789133?\nAnswer: 1213, 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -4 + 0*x - 2 + 2*x. Let c be l(5). Suppose 0*r = -r + 3, c*r - 17 = 5*p. Do p and 2\/9 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 355277706 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, f: 2, a: 1, c: 11, z: 1, y: 1}. Give prob of picking 1 y and 1 z.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 29867 is divided by 594.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -69*x - 348*x - 6180 - 1326 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1889*y**2 - 1786*y**2 + 2989*y**2.\nAnswer: -686*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2 + 6*b. Let w be y(4). Suppose -w = t - 0*a - a, -4*t - 32 = 4*a. Let m = 10 + t. Which is smaller: 6\/5 or m?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 154531 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/((-13)\/(286\/(-11))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -211\/72 or 132.28?\nAnswer: -211\/72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 69 + -18. What is the highest common factor of d and 459?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 820*w**3 + 13*w**2 + 5*w - 11. Calculate the remainder when f(3) is divided by 181.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the first derivative of -3\/10*u**5 + 0*u**3 + 0*u**2 + 0*u - 1\/8*u**6 - 3 + 9\/16*u**4. Factor q(z).\nAnswer: -3*z**3*(z - 1)*(z + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 351654 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 14.1 * -253.918\nAnswer: -3580.2438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4*l - 4*l + 2*l)*(-357 + 22*l**2 + 357) to the form v*l + a*l**3 + x*l**2 + c and give a.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 95090 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: Sort -4, -7, 1, 4, -41, -5.\nAnswer: -41, -7, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4631325098?\nAnswer: 2, 1637, 1414577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20019.924 - -20057. Let o = -59 + 22. Let a = g + o. What is a rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6230 and 282842?\nAnswer: 1414210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 441\/(-2352)*(-2064)\/270 + (-6)\/10 + 0?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*z = -19 + 59 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) be the third derivative of g**5\/30 - 24*g**2. Let w(v) = -35*v**2. Calculate w(j(n)).\nAnswer: -140*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = c, 6*p + 3*c - 25 = p. Factor -2\/7*x + 2\/7*x**3 - 2\/7*x**p + 2\/7.\nAnswer: 2*(x - 1)**2*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes after 6:03 AM?\nAnswer: 7:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 122586 divided by -6?\nAnswer: -20431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/(-3) + (-70)\/15. Let z(i) = i**2 - 4 + 4*i + 2 - 3. Let m be z(j). What is the closest to -2\/5 in m, 1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -8*n**2 - 6*n - 9. Let j be d(-3). Let s = j - -69. Solve -s*h + 3 = -5*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**2 - 1. Let n(h) = h**2 + h + 1. Let l be n(0). Suppose -2*o + 3 = l. Let p(z) = -z**3 - z**2 - 1. Determine o*f(g) + p(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -7855423, -7855429, -7855439, -7855453, -7855471, -7855493?\n\"Answer: -2*a**2 - 7855421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 29 = 163. Is f a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of -p**6\/540 - p**5\/54 - 2*p**4\/27 - 4*p**3\/27 + 31*p**2 - 2. Factor t(b).\nAnswer: -2*(b + 1)*(b + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7294119709?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 105105 divided by -7\nAnswer: -15015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.06 (b) -6\/143 (c) 19 (d) 0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = j**2 - 11*j - 34. Let r be a(17). Suppose -12*k - 8 + r = 0. Suppose k*t + 2*y - 40 = 64, 3*t - 75 = 3*y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y + 30 = -60. Suppose i - 22 = -3*i + 2*u, 5*u = 3*i - 13. Let l be (1 + 2)*4\/i. Calculate the greatest common divisor of l and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -206*a + 205 + 4952 - 847 = -2900 for a.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 - -13. Suppose -7*k + 36 = 2*w - 3*k, 0 = 3*w - 5*k + 1. Suppose -s + 2 = p, 12 = -m*p - w. Calculate the lowest common multiple of s and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1213\/390 + -40\/13. Let c(q) be the third derivative of 0*q - i*q**5 + 0 + 0*q**3 - 5*q**2 + 0*q**4. Let x(r) = -2*r. What is c(x(j))?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 - 5*w**2. Let j be m(5). Suppose -2*h - 3*a - 1245 = j, 0*h + 1235 = -2*h - 5*a. Is 2\/4 + h\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*k - 876 + 273 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 0)*(2*w**4 + 0*w**4 + w**4) - 2*w**4 + 4*w**2 - 4*w**2 - w**4 + 0*w**4 + 0*w**4 + (w**3 + 3*w - 3*w)*(w + 1 - 1).\nAnswer: -5*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -5049531757\/2464 - -2049323. What is the common denominator of 51\/56 and n?\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 20*c**4 + c**3 + 193*c**2?\nAnswer: 480*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2788967005?\nAnswer: 5, 11, 23, 577, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 33.4, 115\/2, -2.2, -1\/4, 3?\nAnswer: 33.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4844578\/47055 - 70\/3137. Let g = x + -103. Let r = -0.59 + 1.59. What is the third smallest value in g, 2\/5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -4*w + 16. Let z be x(0). Suppose 2*y - 4*y - z = -2*h, 4*y = h - 17. Suppose -124 = -5*g + 3*u, 45 = h*g - 4*u - 77. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -147*c + 2. Suppose -14 - 83 = 2*x - g, 15 = -5*g. Let h = x - -49. Is a(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (6\/(-4))\/((-3)\/(-6)). Let x(j) = j - 7. Let h be x(9). What is the units digit of h + q + 7\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from trv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y**2 - 20*y - 80. Let w be v(-6). What is the second derivative of -3820*d**3 - 54*d**w + 18*d - 2*d**2 + 3820*d**3 wrt d?\nAnswer: -648*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -180*w + 7. Let y(q) = 45*q - 2. Let i(p) = 2*k(p) + 9*y(p). Suppose -u + 5*u - 12 = 0. Is i(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 1\/2, -428, -4\/5.\nAnswer: -428, -4\/5, -0.4, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 - -1. Let f(w) = 3*w + 2. Let k(o) = -o - 1. Let z(y) = -f(y) - 4*k(y). Calculate z(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (6\/72)\/((-2)\/(-4)). Let v = 5.6 + -5.6. Put g, -1\/3, v in decreasing order.\nAnswer: g, v, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 437 - -9.4\nAnswer: 446.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -35.062 - -0.062. Let l = i + 35.00000212. What is l rounded to seven dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a + 8 = -2*a. Let p be a - 0 - (-1 + 1). What is the derivative of p - 1 + m**3 - 2*m**3 wrt m?\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 52036?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 144 (base 12) to base 11.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 44*x - 3 + 0 - 43*x. What is d(-5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -66702, -66701, -66700, -66699, -66698?\n\"Answer: r - 66703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 v when three letters picked without replacement from vvvzttvvvzvvvv?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 3890*d - 10864. Let j(f) = 1935*f - 5432. Let l(k) = -2*h(k) + 5*j(k). Find the first derivative of l(v) wrt v.\nAnswer: 1895","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 673*i**2 - 673*i**2 - 6 + 10 + 25*i**3.\nAnswer: 25*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the third derivative of -q**4\/12 - 5*q**3\/6 - q**2. Let a(f) = 51123 + 51165 - 102282 + 3*f. Determine -5*a(y) - 6*u(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0.1 + 0.9. Let k be (-2)\/3 - (-38)\/(-24). Let n = k + 7\/4. Sort 0.2, c, n.\nAnswer: n, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15671328 is divided by 626853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(1377) + (sqrt(1377) - (sqrt(1377) + -1)*2) + -3 + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 1 h, and 1 n when three letters picked without replacement from {x: 1, h: 2, n: 1, d: 8, k: 5}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -c - 5*s - 8, 5*c + 5*s + 5 = 0. Let o = 8 - 11. Put c, o, 1 in increasing order.\nAnswer: o, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = 2*i - 46. Suppose -3*v = 3*j - 45, -3*v = -5*j + v + 66. Suppose -i*l = -10 - j. Let m(q) = -q**3 + 4*q**2 + 2*q + 5. Calculate m(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 15876 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 9*n**2 - 9*n**2 - 2 - n**4 + (-9*n**2 + n**2 + 10*n**2 + n)*(10*n - 10*n + 2*n**2) in the form t*n**3 + v*n + d + o*n**4 + p*n**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be 415\/(-188) - (5 + (-42)\/6). Let s = -5019\/235 - -107\/5. Let q = b - s. Put 2, q, 3 in descending order.\nAnswer: 3, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1210355191 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -6280?\nAnswer: -6280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d = -14*n + 1240, 2540 - 2442 = n + 2*d for n.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1279 a factor of 60688550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*d = 11 + 17. Let x be 0\/((d + 0)\/(-4)). Suppose s + v = -0*s + 6, x = 4*s + 3*v - 27. Calculate the greatest common divisor of 99 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (-100)\/18*1\/(-2)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = 2966*y**2 - 18*y. Let c(o) = -742*o**2 + 4*o. Let k(n) = -9*c(n) - 2*f(n). Let m(r) = -r. Give k(m(t)).\nAnswer: 746*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -1\/2 (b) -1\/9 (c) -201\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q*q**(2\/11))**47)**(-1\/3))**25 assuming q is positive.\nAnswer: q**(-15275\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*o**4 - o**4 - 6*o**4 + (o - o + o)*(-11*o + 11*o + 2*o**3) + o - o + o**4.\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -187 - -228. List the prime factors of j.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1963*w - 985*w - 982*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -19c0 (base 13) to base 12.\nAnswer: -22aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 977, 1955, 2933?\nAnswer: 3911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (5 + (-771)\/21)\/((-3)\/63)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -75*303840\nAnswer: -22788000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -342*p**6 - 2*p**2 + 0*p**2 + 688*p**3 - 688*p**3 wrt p?\nAnswer: -41040*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1692, -8015, -18556, -33315, -52292, -75487, -102900?\n\"Answer: -2109*k**2 + 4*k + 413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 253 minutes before 2:08 AM?\nAnswer: 9:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = 18.17 - 18.882. Round c to 2 decimal places.\nAnswer: -0.71","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -178 - -358. List the prime factors of 34\/51*w\/2.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2545\/2096 - -62\/131. Calculate the common denominator of 1\/(-16)*-1*59 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 times 89\nAnswer: 26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 3*s. Let w be n(1). Suppose 0 = w*o + 6 + 3. Let q(t) = t**3 + 8*t**2 - 9*t - 2. Let l be q(-9). Sort 4, o, l in descending order.\nAnswer: 4, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -2*s + 38. Let t(n) = n + 55. Let d(f) = -21*f - 770. Let w(l) = -d(l) - 14*t(l). Give p(w(m)).\nAnswer: -14*m + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 2910.480747+793\nAnswer: 3703.480747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) be the third derivative of u**4\/6 - 7*u**3\/3 + 14*u**2. Let p be d(4). Solve 6*r = p*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the second derivative of -2*l**4\/3 + l**3 - 129*l**2\/2 - 2*l + 60. What is the first derivative of x(j) wrt j?\nAnswer: -16*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 13 + 9)*(-3*y - 3*y - 2*y) + 0 + 2*y + 0*y + 1.\nAnswer: -142*y + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 104 in -4, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j - 5*j + 878 = -4*i, -3*i - j - 656 = 0. Let w = -147 - i. What is the greatest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13620 + -24355. Let v = g + 10731.3085. Let d = v + 3.7. What is d rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 - 219 = -26*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -330122, -660245, -990368, -1320491?\nAnswer: -1650614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1253279\/4 + (-5)\/(-20). Suppose w + h = 5*w. Suppose 0 = t - w - 8670. What is t rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -3*b - 5. Suppose -8 = -2*x + 4*x. Let o(p) = -2*p - 5*p + p - 4 + 4*p. What is x*o(l) + 3*s(l)?\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 61\/3, -5, -124.6.\nAnswer: -124.6, -5, -0.3, 61\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r be 25\/((-1500)\/(-264)) - 5. Let l = 35 + -35. Put 19, l, -6, r in ascending order.\nAnswer: -6, r, l, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1.2 greater than -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1646893*r**4 + 3*r**2 - 4059 wrt r?\nAnswer: -39525432*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 383487392 is divided by 57.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Divide -12199 by -11.\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the second derivative of -u**5\/20 - u**4\/2 - 5*u**2\/2 + 16*u. Let w be 1\/(-2) + 22\/(-4). Give c(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0 (b) -0.2 (c) -0.04 (d) 4 (e) -7 (f) -1\/3916 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4 - -2*33\/2. Let v = y - 15. Calculate the highest common divisor of 110 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 8111 = -x + 8167 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 26753 and 7657.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 3*k - 2*k + 2*k - 6*k. Let g(b) be the second derivative of b**4\/12 - 3*b. Give h(g(f)).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1197 + 4791\/4. Let x = 9 - 4. Sort b, x, 4 in descending order.\nAnswer: x, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-56)\/(-98) - 4\/7. Suppose 0 = -4*x - 4*w + 668, t = -4*x - 0*w + w + 658. What are the prime factors of x?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 13 in 9\/5, 5, -344\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*d - 2121 - 2836 + 1339 = -96*b + 590, -b = -d - 48 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be -36*((-3)\/7 - 40\/21). Let k = -77 + z. What is the greatest common divisor of 21 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 505 and 1313?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**3 + j**2 - 17*j - 9. What is o(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 3, 123, 5 in increasing order.\nAnswer: 3, 5, 7, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 36\/4301 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44 is divided by (-15*(-6)\/27)\/(10\/75).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7 < -148\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*r + 4*r - 2*h, 10 = -r + 4*h. Let o = 5 + r. Suppose -o*l = -2*l - 17. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7157*w + w**3 - 7157*w.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -74.891 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 - m. Let q = -8298 + 8254. Let h(u) = 5*u**3 + 11*u**2 - 11*u. Calculate q*f(o) + 4*h(o).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 697*r**3*y**5 - 3*r**3*y**4 - 20*r**3*y - 103*r**2*y**2 wrt y?\nAnswer: 41820*r**3*y**2 - 72*r**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-4)\/18 + 3912\/108. Calculate the greatest common divisor of 9 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 13 + 14 - 9 + 6 - 2*i as r + q*i and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 0*c = -3*a - 1, 2*c - 5*a = 23. Sort c, -354\/11, 3\/7 in ascending order.\nAnswer: -354\/11, 3\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = v**3 - 14*v**2 - 123*v. Determine o(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 50993?\nAnswer: 50993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 371294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 620 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -5, -69, -227, -521, -993, -1685?\n\"Answer: -7*x**3 - 5*x**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let -2*i**2\/3 + 22154*i\/3 - 228284 = 0. What is i?\nAnswer: 31, 11046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1 + (5 - -3)\/2. What is the second derivative of 97*m**3 - 99*m**p - 16*m - 23*m**5 - 11*m**5 wrt m?\nAnswer: -680*m**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 7834477, 7834486, 7834495, 7834504?\nAnswer: 7834513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 101110100 (base 2) to base 14.\nAnswer: 1c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 2*o = 5*c + 226, 4*c - o = -308. Let f be -1 - 13\/(c\/(-36)). Let v(j) be the third derivative of -j**5\/60 - 5*j**4\/24 + j**3 - j**2. Give v(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*w - 5 = -2*w - t, -2*w = 2*t - 2 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 75 and 420.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.24 - -0.74. Which is the third smallest value? (a) 5 (b) m (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*o - 18*o = 29*o + 246 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kamaxxxkkxmbkkmmk. Give prob of picking 2 m.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) be the first derivative of -2*c**3\/3 - 5*c**2 + 117. Solve g(s) = 0 for s.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = 5*f + 2*f + 2*f. Let k(v) = 2*v**2. What is c(k(y))?\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/9 (b) 1377\/5 (c) 4 (d) -0.5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:28 AM and 8:23 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 98157?\nAnswer: 3, 32719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -20*n + 21*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 9 divided by 9484091\nAnswer: 9\/9484091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -97\/5082 and 53\/15246.\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*x + 2\/11*x**5 + 0 + 0*x**2 - 34\/11*x**3 + 32\/11*x**4.\nAnswer: 2*x**3*(x - 1)*(x + 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 14 - k**2 + 2*k**2 + 7*k**2 + 19*k + 37 - 7*k**2. Determine p(-15).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 122*t**4 + 6*t - 22.\nAnswer: 1464*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*j - 9*j = -2*j - 500 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 - 30*s**2 - 136*s - 3. What is the remainder when y(-25) is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/1624 and 33\/560.\nAnswer: 16240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-1628)\/148*60\/2310\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 22 - 10. Suppose -88 = -n - 3*n. What is the smallest common multiple of s and n?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 3, v: 1}. What is prob of picking 1 v and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -4067*c**2 - 51 + 99 - 48 + 7794*c**2 in the form v*c + n + s*c**2 and give s.\nAnswer: 3727","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -200 + -9716152696.2.\nAnswer: -9716152896.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 1, e: 1, f: 10, x: 1, q: 1}. Give prob of picking 1 n and 2 f.\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 16.3781024 to two decimal places.\nAnswer: 16.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 44.02 + -44. Let z = o + 0.1. Let s = z + -5.12. Sort 5, -6, s.\nAnswer: -6, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve t + j = -1, -14*t + 15*t = -5*j + 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.24 * 75\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 11*d**2 + 1. Suppose -3*t = -4*t - 2*t. Suppose w + t = 1. What is c(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -1 - 42*s + 88*s - 47*s. Calculate g(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = t**3 + 3*t**2 + 3*t + 6. Let d(k) = k**2 + 1. Let w(q) = -6*d(q) + v(q). Determine w(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1863 or -2032?\nAnswer: -2032","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -234\/5 - -47. Put n, 1, -11, 0 in decreasing order.\nAnswer: 1, n, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 12, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 + -b0?\nAnswer: -b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) be the first derivative of h**4\/4 - 6*h + 2. Let r be w(0). Let j(s) = 9*s**2 - 8*s - 5. Is j(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 4*r - 9 = 0, -4*z - r + 0 = 1. Let u be ((-4)\/5)\/(z\/(-5)). Put -3, u, 0 in decreasing order.\nAnswer: 0, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**3 + 25*c**2 - 20*c - 108. Let l = 235 + -211. Let o be b(l). Sort 5, -6, o.\nAnswer: o, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*d**2*w**2 + 27*d**2 - 17*d*w**4 + d*w wrt w?\nAnswer: 10*d**2 - 204*d*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 6646569 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1544 + 1546. Solve -2*l + 3*g - 23 = -2*g, z*l - 22 = -4*g for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 93740.5 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -33*w + 218. Calculate m(9).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2 + -2)*(-1)\/(-2). Suppose s = 2*z - 4*z + 10. Differentiate -z + 2*a**2 - a**2 + 2 with respect to a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*1*sqrt(684)*-2 + (sqrt(684) - (sqrt(684) + 0 + -4))**2 + -4.\nAnswer: 12 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = p + 2. Let m = 13 - 16. Let f be r(m). Let y = 10.4 + -9.4. What is the second biggest value in 2, f, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*m**2 - 4*m**3 - 4*m + 4*m**3 - 51 + 4*m**3 + 55 - 3*m**3 to the form x*m**3 + f*m**2 + n + r*m and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*z - 8 - 0. Let x = z + 6. What is the third derivative of -4*q**6 + 0*q**6 - 6*q**6 - q**x + 4*q**2 wrt q?\nAnswer: -1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 + 104644164?\nAnswer: 104644170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(240)*2)\/(1*((sqrt(3)*2 - sqrt(3) - sqrt(3)) + sqrt(3))) + (2*sqrt(80)*-3 - sqrt(80)*-2*1))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1696736, 6786923, 15270568, 27147671, 42418232?\nAnswer: 61082251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 236 and 1888.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1372 is divided by 63.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 239, 243, 249, 257?\n\"Answer: o**2 + o + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 88725336 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: Let l = -117 - -63. What is the remainder when (6\/9)\/((-4)\/(-354)) is divided by (-1122)\/l + 2\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 5, 1, 11 in descending order.\nAnswer: 11, 5, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 15301935 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*z + 0*z - 6 + 4*z + 5*z to the form v + j*z and give j.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 20167760 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (5 - (4 + 11)) + 7 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 22 and 6369?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -75*k - 1347. What is the remainder when 449 is divided by g(-19)?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/(-14) - 53\/(-63). Let o = b - 2\/3. Let s be -3 + 7\/(7\/2). Are s and o non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 110*s**3 + 3166*s**2 - 1579*s**2 - 1584*s**2 as x*s**3 + v*s + h + t*s**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1094.\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1050 + 2127. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3? (a) -1\/2 (b) -0.23 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:00 PM and 5:37 AM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 162513*y**3 - 29 + 11 + 13.\nAnswer: -162513*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 4 = -a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*r + 5 - 41. Let z(x) be the first derivative of 9*x**2 - 10*x + 3. Calculate the smallest common multiple of r and z(3).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24058 is divided by 49?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -7*k - 60. Let n be f(-11). Solve -3*x - l + 5*l = -n, 13 = 5*x + l for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 94357 and 856425.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -86715 by 28905.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 65 * 0.07\nAnswer: 4.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 2, -4, -0.2, -1\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1\/5)\/l**(-4)*l*l**(-5)*l**(-4)*l)**(-21\/5) assuming l is positive.\nAnswer: l**(336\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -55, -72, -87, -94, -87, -60, -7?\n\"Answer: b**3 - 5*b**2 - 9*b - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 3, h: 3, f: 3, j: 1, d: 1, a: 2}. What is prob of picking 1 f and 1 x?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p and 2 g when three letters picked without replacement from {p: 1, a: 2, n: 1, u: 1, g: 2, z: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -311*a**3 + 9509213*a**2 + 9509229*a**2 - 19018442*a**2.\nAnswer: -311*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -51 + 54. Suppose -1009 = -5*j + x - 116, -o*x = -4*j + 710. Calculate the remainder when j is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((338\/(-195))\/(-26))\/(56\/(-252)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 627333 - 627156.5369. Let h = -2.4531 + w. Let v = 175 - h. Round v to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27994 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (85\/(-255))\/(0 + (-1)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 42*r - 26*r - 12*r + 8*r**2 to l*r + v*r**2 + b and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/29 (b) 6 (c) 220 (d) 7790\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -3*m**3 - 68*m**2 + 112*m - 72. Is 54 a factor of t(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -99572 divided by 9052.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Add -217865 and 34.\nAnswer: -217831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.469 + 0.269. Let o = 14 + -13.8. What is the nearest to f in o, 3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 2*b + 34. Let o be z(-21). Let m be ((-44)\/o - 4)*52. Let v = 62 + m. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000019322616854 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 3*a + 75 - 75 in the form r*a + o and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m - 5*t - 41 = 7*m - 18, -3*t = -12*t - 27 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6584 + 6584.5. What is the closest to -19\/5 in -0.2, 5, 2\/19, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 145282561 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (242\/(-726))\/((-1)\/(-66)*2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 26\/(-42) + 14\/42. What is the closest to r in -3.2, 2, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z**4 - 1475*z**3 + 109515*z**2 - 108045*z = 0. What is z?\nAnswer: 0, 1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a - 11. What is s(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10.13 + 9.93. Which is the smallest value? (a) y (b) -10 (c) 2\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.605132 rounded to 2 dps?\nAnswer: -5.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1\/2, 493\/12, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -12052618*l**3 - 2217155?\nAnswer: -36157854*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzzzqzkzzzqzqwzwqzq. What is prob of sequence kw?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) be the second derivative of 23*o**3\/6 - 39*o**2 - 23*o. What is the first derivative of d(w) wrt w?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 29548 is divided by 150?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4210844 a multiple of 909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*b + 231 = 69 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**3 - 18*w**2 - w + 34. Let f be u(18). Calculate the highest common divisor of 32 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*z + 6980 = -449*z for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 256003248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2)\/(0 + (-5)\/(-35)). Let j be (-146)\/p - 15\/35. Solve 5*d = 3*b - 23, -3*d - 3 = -b + j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101101 - 1001?\nAnswer: -1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56415.\nAnswer: 3, 5, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -161 (b) 1 (c) -5 (d) 6 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d + 1. Let y be r(-6). Suppose -y = 5*b - 27. Let u(o) = o**2 - 5*o + 4. Let s be u(5). Solve s*i + b = 2*t + 2*t, 0 = 4*t for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vxqxxvxxvvxqvlxx. Give prob of picking 1 x and 2 q.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*t + 38*t = -64. Suppose 20 = 4*p, -2*o + 11 + 8 = 3*p. Solve -4*x - c = -1, c + c = -t*x - o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 950.1063 meters in centimeters?\nAnswer: 95010.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 895?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -5*y**3 + y**2 - 5*y + 1. Let d(s) = -s**3 - s**2 - 1. Let g(f) = -4*d(f) + k(f). Let j be g(4). What is the greatest common factor of 5 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1591 (base 13) to base 2\nAnswer: -110001011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2371.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 8*o + 40 = 0. Suppose 0 = 2*n - 76 + o. Suppose 0 = -2*v - 5 - 1, -b - 3*v = -n. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -2*s - 5. Let b be d(-5). Suppose b*n - n - 56 = 0. Calculate the remainder when 160\/(-6)*3\/(-2) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14.58 plus 0.0584836?\nAnswer: -14.5215164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 6, p: 1, g: 2, m: 9}. Give prob of sequence smmm.\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*m - 4*o + 69 = 257, -41541*o + 41536*o = -2*m + 133 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8658575.\nAnswer: 5, 47, 7369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -156696, -626804, -1410322, -2507250, -3917588, -5641336, -7678494?\n\"Answer: -156705*w**2 + 7*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 + 0 - 3*x**4 + (2*x**2 + 3*x**2 - 3*x**2)*(-x**2 + 0*x**2 + 2*x**2) - 2*x**4 + x**4 - x**4 - 3*x**4 + 4*x**4 - 13*x**3 + 2*x**3.\nAnswer: -2*x**4 - 11*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 34*b**3 - b**2 + 3*b + 7. Let i be g(3). Suppose 0 = 2*d - 7*d + i. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = 9*o - 518. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 590483.\nAnswer: 37, 15959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 17610299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:45 AM and 9:38 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 1, f: 5, e: 1, x: 2, y: 1}. Give prob of sequence xy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -461 + 4617\/10. What is the common denominator of g and 103\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-94)\/(-470))\/((-2 - 0)\/(-10)). Solve 4*i = i + 2*f - 17, -5*i + b = 4*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -9*r**3 + r**2 - 8*r - 10. Let t be l(-5). Suppose 4*p - 3*x + t = 6*p, -p = -5*x - 577. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -43, -104, -213, -376, -599, -888?\n\"Answer: -d**3 - 18*d**2 - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + -2 + -5 + 2 + 0.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = 2*x**3 - 8*x**2 - 4*x - 8. Let a(t) = t**3 - 5*t**2 - 3*t - 5. Let y = -86 + 119. Suppose -3*z + 12 = 0, -2*h - 5*z + y = 3. Give h*c(j) - 8*a(j).\nAnswer: 2*j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2010442 + -23?\nAnswer: -2011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the first derivative of -1 - 1\/30*j**3 + 0*j + 2\/25*j**5 - 3\/40*j**4 + 0*j**2. Factor k(m).\nAnswer: m**2*(m - 1)*(4*m + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 8*u - 13. Let s(w) = 7*w - 14. Let r(x) = 6*b(x) - 7*s(x). Let a be r(15). What is the derivative of a - 6 - 3*p**3 - p**3 wrt p?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 12*m**2 - 11*m + m**3 - 6*m - 2*m + 5*m. Suppose -c - 8 = l, -c - 5*l = -3*c - 51. What is b(c)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6.7 - -7. Let g = 6.05 - 0.05. Let p = -5 + g. What is the nearest to 0.2 in f, p, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 940 a factor of 8950038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 2\/13, 4\/3027, 1, 0.\nAnswer: 0, 4\/3027, 2\/13, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1975680\/1224 + ((-2)\/(102\/(-45)) - 1). Solve 5*f = 1584 - j for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 3373 = 5*v - 2*m, -v + 677 = -2*m. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/3276805 or 0?\nAnswer: -3\/3276805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -178962, 4, 3 in decreasing order.\nAnswer: 4, 3, -178962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 279*t**2 - 247*t wrt t.\nAnswer: 558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 5*l - 2*l + 1150 = 0, 0 = 3*q - 5*l - 857. Let b = 295 - q. Solve j = -2*h + 2, -j - 2*h + b*h + 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 + 6*u**2 - 3*u - 2. Let z be j(5). Let n be (-4 + 0)*(-2)\/z. Let g(p) = 23*p. Does 8 divide g(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 37 - -20. What is the third derivative of j**4 + z*j**4 - 13*j**2 - 6*j**4 wrt j?\nAnswer: 1248*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 345660*a*x + a - 52*x - 28 with respect to a.\nAnswer: 345660*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6.00000001 + -6. Round k to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + -23 - (20 - -17 - 14).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l - 20 - 358 = 0. Let i(b) = 208*b**2 + 1. Let m be i(1). Let j = l + m. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 95 divide 836000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Multiply 13 and -32.\nAnswer: -416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 750 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10 and 34195?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 14395\/113 or 126?\nAnswer: 14395\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*f = 22 + 26 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 40*g**4 - 2*g - 3*g**3 - 23*g**4 + g**3 to the form t*g**3 + y*g + d*g**4 + z*g**2 + p and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2317073 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-1*sqrt(11)*2)**2 + 1*(-2*sqrt(44))**2.\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**2 - 9*g + 18. Let u(i) = i**3 + 5*i**2 - 7. Let o be u(-2). What is k(o)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69226879 to the power of 1\/4, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 8\/3 of a hour?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 2*h**2 - 7*h + 6. Let u be y(5). Let m = u + -7. Let t(v) = 42*v**2 + v. What is the remainder when t(-1) is divided by m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/(-4)*(-1)\/3. Let k be (867\/6)\/((-10)\/(-8)). Let x = k + -116. Which is the biggest value? (a) s (b) -7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-1\/15))**22*d**(-1\/7)\/(d*d**(-2\/5)))**(-4\/37) assuming d is positive.\nAnswer: d**(928\/3885)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2 + -1)\/(1\/(-3)). Suppose 4*s - 17 + h = 0. Suppose -s*w - 5*w = -49. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1142 - 1138. Put k, -46.3, 0.5 in decreasing order.\nAnswer: k, 0.5, -46.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - 41 = -0*c + 3*h, 0 = -2*c + 2*h - 26. Let t be (12\/(-8))\/(3\/c). What is the units digit of (-2*(-2 + t))\/(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i = 2*d - 7, 6*d = 2*i + 2*d - 6. Let v be -2 - (8 - (-9 + 20)). Suppose -4*c + 18 = 2*y, 4*y = -5*c + y + 21. Sort v, i, c in descending order.\nAnswer: c, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -39*v. Let t(x) = -1393*x. Determine t(u(s)).\nAnswer: 54327*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -30*u**2 - 2*u - 1. Let m be a(-1). Suppose 2*j + 2 = -0, 5*d = 5*j - 325. Let s = m - d. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -4*z - 6. Suppose 3*i + 1 = -o, 2*o + 10 = -3*i - 1. What is the tens digit of r(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(95)*1 - sqrt(95)) + sqrt(95))*1 + sqrt(95) + sqrt(95) + 1*3*sqrt(95) + sqrt(95))\/((sqrt(45)\/sqrt(3)*6)\/(sqrt(3)*-2*5 - sqrt(3))).\nAnswer: -77*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 o when three letters picked without replacement from nooeoooootobonoen.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -31947, -127789, -287527, -511161, -798691?\nAnswer: -1150117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.6928750363 - 0.69288. Round m to seven decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17 - -249\/14. Calculate the common denominator of b and (9648\/(-441))\/(-8) - 1*2.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the second derivative of 0 - b + 0*b**4 - 1\/55*b**5 + 1\/11*b**2 - 1\/165*b**6 + 2\/33*b**3. Determine h, given that m(h) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2)\/(-1))\/((12\/(-33))\/(804\/1474))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5217*q - 150 + 10434*q - 5221*q)*((-1 - 2 + 2)*(3*q - 5*q + 0*q) - 2 + q + 2).\nAnswer: -12*q**2 - 450*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*j - 56 = 5*j. Calculate the remainder when 36 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((0 + sqrt(605) + -1)**2 + sqrt(605) - 2*sqrt(605)*-2) - ((-1 + (sqrt(80) + 1 - sqrt(80))*6)*-5)**2.\nAnswer: -17 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -4*r + 19. Calculate u(11).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 - 11. Let b = 6.9999964 + q. What is b rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 79*c**2 - 2*c**4 - 79*c**2 + 3 - c**4 wrt c.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -618, -1236, -1854, -2472, -3090, -3708?\n\"Answer: -618*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 1082.650031 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times -8289?\nAnswer: -24867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 577*l - 5185. Let s be z(9). Solve -s*d = 35*d + 129 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/((11\/3)\/(294\/(-882)))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 3, k: 2, o: 2, t: 1}. What is prob of sequence oot?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 3.09 (b) 0.4 (c) 0.155 (d) 1 (e) -0.4 (f) 0.9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2046 and 578646.\nAnswer: 6365106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 3537, 14237, 32079, 57063, 89189, 128457?\n\"Answer: 3571*b**2 - 13*b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3129466*k**3*p**2 - 14*k**3*p - 9044*k*p + 3*k wrt p.\nAnswer: 6258932*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 14959, 14964, 14973, 14986, 15003, 15024, 15049?\n\"Answer: 2*v**2 - v + 14958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 196*x - 171*x - 349075. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4014902 from -3.\nAnswer: -4014905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 + (-2238)\/(-5 - -2). Suppose -2*t + 4*a - 1430 = 0, -t + 5*a + f = -2*t. Let d be 100\/(-3)*(3 + t). What is d rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -52887 divided by 51\nAnswer: -1037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17773, -17767, -17759, -17749, -17737?\nAnswer: -17723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 196 a factor of 17779944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3 + -14. Let g = w - 5. Let r = 33 + g. Is r a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4645 and -84?\nAnswer: 390180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*k + 8*k. Suppose 5*y - 4*y - 419 = k. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h**2 + 8*h - 6. Let d be k(5). Suppose -d = -2*s + 3*f - 4, -10 = -2*s - 2*f. Sort s, -3, 5.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 + (26 - 11 - -18).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (5 + 2)\/((-1)\/(-1)). Let a be (-10)\/(-70) + (-5)\/35. Suppose a = s*r - 3*r - 3148. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-one eighths of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 146158059 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 89264 and 80497?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 1857*y - 9. Let q(f) = 3. What is 3*q(h) + v(h)?\nAnswer: 1857*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 53, 5, 1, 0.01.\nAnswer: -5, 0.01, 1, 5, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**7*x**12)**35 assuming x is positive.\nAnswer: x**665","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 100 - 34 - ((-3 - -3) + 7 - -4 - 1)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2*b**3 + 14*b**2 + 8*b + 4. Let f(x) = -3*x**3 - 21*x**2 - 12*x - 5. Let v(h) = -7*c(h) - 5*f(h). What is v(-5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ka when two letters picked without replacement from {a: 6, k: 12}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 25364171?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -167660, -167670, -167694, -167738, -167808?\nAnswer: -167910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p**(-1)*p)*p**2)**(-5\/7) assuming p is positive.\nAnswer: p**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are 1737 and 948\/11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 334945, -1, 5, 4 in descending order.\nAnswer: 334945, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 42402*n + 1611347. What is d(-38)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4075 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let 3*p**3 + 13587*p**2\/4 + 943665*p + 235704 = 0. What is p?\nAnswer: -644, -488, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((9 + 2 + 0)*(-2 + 2 - 2) + 12 + 5 + 28 - 2)*(3*w - w - 4*w) to q*w + z and give q.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0\/(-1) + 4 + 14. Suppose 0 = 3*m - 3*o + 3 + 6, 0 = -2*m + 5*o - b. Let t = 3 - m. Solve -t*u = -r + 7, 3*r - 10 = 2*u - r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 5, g: 2, r: 6}. What is prob of sequence rrz?\nAnswer: 25\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 24 + -20. Suppose 3*i + 2*i = 4*t, -y*t + 4*i = 0. Suppose -22*k + 17*k + 175 = t. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 46646911\/316 + -147617. Calculate the common denominator of u and -101\/36.\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 23\/46 + 2*(-1)\/(-4). Let m = 6 - 19\/4. Is m != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: ((11\/((-528)\/(-15)))\/(65\/780))\/(-12)\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 33, 9, -1\/2 in increasing order.\nAnswer: -1\/2, 9, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 19410 and 7181700?\nAnswer: 7181700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 2*h**2 - h - 1. Let n(s) = 22*s**2 - 6*s - 6. Let l(j) = n(j) - 6*u(j). Let y = 22 + -71. Let i(m) = 161*m**2. What is y*l(r) + 3*i(r)?\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.06? (a) -1 (b) 4 (c) -0.1 (d) -56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.21174201 to two dps.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = m**2 + 7*m + 4. Let z be a(-7). Let j(y) = y**2 - 12*y + 58. Let n be j(5). What is the second derivative of -n*q + 107 - 107 - 7*q**5 - z*q wrt q?\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s = 2*r - 19 - 0, 0 = 3*r + s - 9. Let y(p) = -p**3 - 3*p**2 + 2*p - 5. Let w be y(-4). Solve -2*l + r = -w*m + 13, -l - 5 = -m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*b - 52 = 5*y, -5*y + 2*b = 14 - 10 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -4*t + 3. Put -4, t, 3\/4 in ascending order.\nAnswer: -4, 3\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i\/(i*i**(-4\/7))*i)\/i*i*((i\/(i*i\/(i*i*i**0)))\/i*i)\/i*i)\/(i**(7\/4)\/i*i\/i**(-1\/8)*i*i))\/((i**(-7)*i)\/(i**(-2\/7)*i))**(15\/11) assuming i is positive.\nAnswer: i**(691\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11 - -13. Let s = 36 - k. Suppose 0 = -s*f + 7*f + 45. Calculate the greatest common factor of 45 and f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 103446?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*j - 48*j**2 + 15*j)*(2*j**3 + j - j) + j**2 - j**2 - 2*j**5.\nAnswer: -98*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 0.7565504023 to 4 decimal places.\nAnswer: 0.7566","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 40064487343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - (-57)\/(-45))*(-7)\/14?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 229719.39 to the nearest ten.\nAnswer: 229720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**3\/12 + 7992*v**2 + 63940*v + 383648\/3.\nAnswer: -(v - 95912)*(v + 4)**2\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide ((-11)\/(-44) - 38\/(-8)) + 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -285*c - 2001. Let w be d(-7). Let n(h) = 1. Let v(o) = 2*o + 3. Suppose -2*m = 3*m - 5. Determine m*v(a) + w*n(a).\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3405791 a multiple of 588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 22090429 and 17?\nAnswer: 22090429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 2*d**3 - 2*d**2 - 7*d + 4. Let h be ((-18 + 15)\/3)\/((-1)\/3). Give g(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18809*w + 27603*w + 14021*w - 5601*w.\nAnswer: 54832*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be 26\/((-6)\/6) - (1 - -2). Let c = 43 - g. Is c a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -209*m + 7899 - 3301 = 0 for m.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10128*q + 3376*q - 6251*q.\nAnswer: 7253*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 6 = -k + 2*c, -3*c = 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 6*y**2 + 2*y - 13 - y**3 + 2*y**3 - 2*y**3 + 6. Let i be j(6). What is the third derivative of -15*r**4 - i*r**2 + 6*r**4 + 12*r**4 wrt r?\nAnswer: 72*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yraraydyradavaurvuy. Give prob of sequence vaa.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(2\/5))**(-4\/13))**49 assuming q is positive.\nAnswer: q**(-392\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = c**2 - 3*c + 1. Let o(v) = v**2 - v. Let g be ((6*2)\/(-1))\/(3 - 5). Give g*o(j) - 2*d(j).\nAnswer: 4*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -90 + 29. Let c = -33 - z. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.74 - -3.74. Is -1051 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 378*k**3 + 62*k**2 + 44*k + 47. Is c(11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 38207*q**2. Let y(j) = -2*j**2. Determine y(d(o)).\nAnswer: -2919549698*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 65.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*z + 0*z - 4 + 67*z**3 - 4*z**2.\nAnswer: 67*z**3 - 4*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10 and 11545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 - 2*s + 5)*(0 - 6 + 8)*(-875 + 93 + 478) to the form i*s + u and give i.\nAnswer: 1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 8 - 6. Suppose -q - s*q + 9 = 0. Suppose 2*j = 3*r + 155, -2*j - q*r - r = -134. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 274189634?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -128*l + 58*l - 144*l - 92*l + 35*l.\nAnswer: -271*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(324) - sqrt(36))\/sqrt(12) + 4 + 1 + sqrt(3) + sqrt(3).\nAnswer: 5 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 491*o**3 - 3 + 1 - 2365783*o**2 + 2366053*o**2 wrt o?\nAnswer: 2946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0332088 rounded to three decimal places?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 7921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -157 = -0*j - 2*j + 3*s, 2*j - 156 = 4*s. Suppose 4*b + 102 = -2*f, -b + 46 - 256 = 5*f. Let c = j + f. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 85991.52 milligrams?\nAnswer: 0.08599152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1.3 in 0, 11210, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100111101011 - 101000101110010100?\nAnswer: -101000000110101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3679052?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 2010257597 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = -42*y**3 - 5*y**2 - 5*y. Let d(o) = -21*o**3 - 2*o**2 - 2*o. Give -5*d(j) + 2*r(j).\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = -2*n**2 + 3. Let c(o) = -5385. Calculate -2*c(g) - 3590*p(g).\nAnswer: 7180*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**2 + 4*v. Let z(s) = -s**2 + 7*s. Suppose -185 = -5*x - c - 7, x + 5*c - 50 = 0. Suppose 19*i + x = 24*i. What is i*d(f) - 4*z(f)?\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 11, -1, 2, 0, -29 in increasing order.\nAnswer: -29, -3, -1, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 50123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 0.03, 0, 3\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:05 AM and 4:20 AM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is ((-5)\/(-25))\/((-21)\/(-5888505)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-973*u**2 - 2057*u**2 - 445*u**2)*(2*u - 3*u + 0*u)*(u - 4*u**2 - u).\nAnswer: -13900*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 180 (b) 30 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.296312 weeks to days.\nAnswer: 2.074184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 696 = -u - 60, 5*p = 3*u + 1889. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -11439 and 0.4.\nAnswer: -4575.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2031 = -3*q - 0*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:10 PM and 12:09 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyylyl. What is prob of sequence yy?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33*i**2 + 72*i**2 + 46*i**2 - 88*i**2.\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -23 + -121012?\nAnswer: -121040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c + 9*x - 4869 = 10*x, -3*c - 3*x = -3648. Calculate the remainder when c is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 4*k - 3*h + 48 = 0, 5*h = -k + 14. Let f be (-6)\/k - (-10)\/6. Solve -f = 4*r + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 461484467 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -13403*m**6 - 6*m**2 + 238 wrt m?\nAnswer: -1608360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1 - 1. Let a = z + 4. Suppose 0 = f + a*f - 27. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 0.35 (c) -3\/82\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -39\/11 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 237138477?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 6*b**2 - 1. Let g = -4 - -5. Let u be 4\/(-2) - g*-3. Suppose c + 2 = -u, -2 = -4*d + 2*c. Determine f(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5727132 divided by 38.\nAnswer: 150714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 701816 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x = -1315*t + 1312*t - 21, -x = -2*t - 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 1989b (base 12) to base 8.\nAnswer: 111267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 655 a factor of 40065642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 187 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*h + 66 = 41*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 4710.553ml to litres.\nAnswer: 4.710553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -i**3 - 5*i**2 - 5*i. Let v be x(-4). Suppose -v*t + 6 = -r, -2 = 3*r - 4*t - 0. Solve 4*g = r*w + 8, 2*w + g = 3*w + 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 13\/5 of a millennium?\nAnswer: 31200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4919 + -4917. Let q(x) = 3*x**3 + 2*x**2 - 2*x + 7. Let p(c) = 10*c**3 + 7*c**2 - 7*c + 20. Give g*p(l) - 7*q(l).\nAnswer: -l**3 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of -k**8\/560 - 7*k**3\/2 + 8*k. Let p(d) be the second derivative of f(d). Factor p(l).\nAnswer: -3*l**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -3*c**2 + c + 6. Let r(q) = -q**2 + 1. Let i(d) = -d**2 + 1129*d + 5666. Let z be i(-5). Give z*r(l) + h(l).\nAnswer: l**2 + l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1163\/5 or -232?\nAnswer: -1163\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -106089390 and 105?\nAnswer: 106089495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 - 6*z**2 - 10*z - 19. Let y be p(-5). Let j = 2 + 0. Find the second derivative of j + 0 - 9*u - 2 + y*u**3 wrt u.\nAnswer: 36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(((t**(-6)*t)\/t)\/t))\/(t\/t**(-6)))**(1\/47)*(t\/t**(-3)*t**(-2)\/t)**28 assuming t is positive.\nAnswer: t**(1317\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 0.9, 0, -8, -25?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 2*f - 13 = 0. Let h = f - 11. Put 4, h, -5 in increasing order.\nAnswer: -5, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -30 (base 4) in base 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*2.3418.\nAnswer: 4.6836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 69336344 to the power of 1\/2, to the nearest integer?\nAnswer: 8327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j**(2\/67)\/j)**(-21\/2)\/(j**16)**(-9\/7))**(3\/16) assuming j is positive.\nAnswer: j**(86553\/15008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c + 4. Let v be i(-3). Let h(p) = -4*p**2 - 10*p + 7. Let m(l) = 5*l**2 + 10*l - 7. Let k(g) = -6*h(g) - 5*m(g). What is the tens digit of k(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -7*l**3 + l**2 - l. What is x(1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = 14*r - 43. Let u(x) = -7*x + x**r + 16 + 1 - 13. Determine u(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1 + 0\/5 - -84. What is the greatest common divisor of k and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 127\/828 and 53\/6892.\nAnswer: 1426644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the third derivative of -q**4\/6 - q**3\/6 - 2*q**2. Let k(u) = -u - 5. Let n be k(-3). What is the remainder when 20 is divided by r(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 194 + 46. Suppose 65*d - g = 60*d. Let u(s) = -d*s - s**2 + 48*s. Let y(c) = -18*c**2. Determine u(y(r)).\nAnswer: -324*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 13 = 2*x + 7 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + -4*sqrt(80))) + sqrt(80) + -3 + (sqrt(20)*5 - sqrt(400)\/sqrt(5)))**2.\nAnswer: -156*sqrt(5) + 3389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000025483 to six dps.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 274608.\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -d + 1887*d**3 + 209*d**3 + 1156*d**3 + d + (-2*d**2 + 0*d**2 - d**2)*(-7*d - 3 + 3) in the form s + u*d**2 + g*d**3 + k*d and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 143640?\nAnswer: 2, 3, 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2542 and 2214?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.58, 2\/15, -5 in descending order.\nAnswer: 2\/15, -0.58, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 2180193*a - 16630. Let w(s) = 1573*s - 12. Determine -6*d(p) + 8315*w(p).\nAnswer: -1663*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81 + 117 = 6*k. Let m = 35 - k. Suppose -5*s - 2*r = r - 6985, m*r = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-35*p**2 + 23 - 23 + p)*(p + 3*p - 3*p) as t + c*p**2 + o*p + u*p**3 and give u.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 18 = t. Let d = t - -15. What is the remainder when 21 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10, -31, -66, -115, -178, -255?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 973, 976, 979?\nAnswer: 982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 17714.\nAnswer: 106284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that -15*t**4 - 535*t**3 - 2415*t**2 + 13915*t - 4350 = 0.\nAnswer: -29, -10, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 - 4*b**2 + 10*b + 1. Let o = 19 + -25. What are the prime factors of y(o)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + (-9 - -17 - -1) - (0 + -12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 1, w: 1, l: 2, p: 1, z: 4, h: 1}. Give prob of picking 2 h and 1 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - v + 12, 12*v = 4*c + 9*v + 16. Put 3, -483, c in descending order.\nAnswer: 3, c, -483","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (-6 + 1 + (-3 - -2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -931\nAnswer: -93.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 + -92. Let p = 164 + z. Round p to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 4*k - 129 = 0, -151 = -22*r - 5*k + 114 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.95 + -1.05. Which is smaller: d or 20?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 58 - (-37 + 66) - 64?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**3 - 5*m**2 - m - 3. What is the smallest common multiple of l(-5) and 1\/(10\/5) - (-33)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -12*s**2. Let n(v) = 7606*v**2. Determine i(n(h)).\nAnswer: -694214832*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 330217944 by -42.\nAnswer: -7862332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1)\/(4 - 3)*(-76)\/2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (0 - 2 - (0 - 3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -169 times 0.0405\nAnswer: -6.8445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 268448 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be 49\/(-147)*(-14 + -1) - 578. Which is greater: -571 or l?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 3568?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 7, n: 2}. What is prob of picking 3 t?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 380*b**2 + 3 - 127*b**2 - 2*b - 120*b**2 - b - 120*b**2. Let y(n) = 7*n**2 - 2*n + 2. What is 3*o(s) - 5*y(s)?\nAnswer: 4*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w*w**(-2\/29)\/w*w*w)\/(w*w*w**(14\/9)*w*w*w*w))\/(w**(5\/4)\/w*w*w\/(w\/(w\/(w*w**4*w)))*w) assuming w is positive.\nAnswer: w**(-1957\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**2\/7 + 696*g\/7 + 200.\nAnswer: -2*(g - 350)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (436 - 431) + 1 + -20\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 149003?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 785191273.14 - -50?\nAnswer: 785191323.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the second derivative of -l**4\/12 + 37*l + 3. Let p(u) = -u - 2. Let b(c) = 2*c + 3. Let j(y) = 4*b(y) + 6*p(y). Give j(g(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54 is divided by 23?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -396, -896, -1732, -2904?\nAnswer: -4412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from {h: 2, d: 1, b: 2, y: 1, a: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*p + 4*o, 0 = -p + o + 3. Suppose 152 = 2*g + p*g. What is the remainder when g is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 22475?\nAnswer: 5, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -826 or -837?\nAnswer: -837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in fourty-five quarters of a tonne?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 5*b = 20, -5*p - 3*b + 14 = -5*b. Let x = 55569\/5 + -11180. Let a = x - -67. Is a >= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 11) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -177.87107 - -1?\nAnswer: -176.87107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + 1 + sqrt(704) - (sqrt(704) + 2 + -4) - (sqrt(110) + -2*(sqrt(110)*-2 + sqrt(110)))\/(2*(sqrt(10) - sqrt(40))))**2.\nAnswer: 24*sqrt(11) + 355\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 42, 59, 98, 165, 266, 407, 594?\n\"Answer: w**3 + 5*w**2 - 5*w + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1727 - 1918. Sort -2\/3, k, 1\/3.\nAnswer: k, -2\/3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l = -9*l + 704. What is the greatest common factor of 33 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 15*t - 15. Let y(u) = 23*u - 24. Let n(i) = 8*s(i) - 5*y(i). Let g(h) = -14*h. Give 4*g(v) + 11*n(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 507 and 4654?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:42 AM and 7:06 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 - 3*u**2 - 3*u - 4. Let r(b) = -5*b**3 - b**2 - 18*b + 147. Give -6*o(t) + r(t).\nAnswer: t**3 + 17*t**2 + 171","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2 - 2*r - 1. Let m be l(-1). Let u be 1\/m + (-1)\/(-2). Suppose 5*s - u = 4*s. Which is smaller: s or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1312133102 (base 4) in base 5?\nAnswer: 111012310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/34302 and 85\/174.\nAnswer: 994758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 297795 is divided by 1627.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 54935.\nAnswer: 5, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -690*(-100)\/(-3750) - (-10 - 0) - (0 - 6)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -22*y**2 + 16*y - 12 + 12 - 12*y - 6*y. Let k(g) = -3*g. Calculate k(z(q)).\nAnswer: 66*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 38080 rounded to the nearest 1000?\nAnswer: 38000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 5740.3 and 0.3?\nAnswer: 1722.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 26, 5, 379594 in increasing order.\nAnswer: 5, 26, 379594","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/55)\/((-2960)\/(-7400)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 444\/13 - 34. Suppose 3*s - 19 = -l, -4*l - 26 + 81 = 5*s. Which is the fourth biggest value? (a) t (b) -1\/5 (c) l (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) be the first derivative of 4*s**3\/3 - 216. Let z(x) = -17*x**2. Calculate z(m(b)).\nAnswer: -272*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/(((t*(((t\/t**(1\/5))\/t)\/t)\/t)\/t)\/t))\/t)**42\/(t\/(t**4*t))**48)**34 assuming t is positive.\nAnswer: t**(55488\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, -74, -6 in increasing order.\nAnswer: -74, -6, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 7*k + 14 = 8*k, -2*r = -5*k + 16 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) be the first derivative of 0*k - 3 - 2\/27*k**3 - 1\/18*k**4 + 0*k**2. Factor d(v).\nAnswer: -2*v**2*(v + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, 19\/2, -3 in increasing order.\nAnswer: -3, 1\/3, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -32 - -50. Let k = 37 - s. Suppose -9 - k = -4*j. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gq when two letters picked without replacement from {q: 4, g: 3, b: 1}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-9 - 102\/(-9))*-20)\/((-230)\/(-30) + -7)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2299) + sqrt(2299) + -2 + sqrt(2299)*-1 - sqrt(2299)) + -1)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -163*c - 2 with respect to c.\nAnswer: -163","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -2*o**3 - 5*o - 5. Let l(b) be the second derivative of 1\/20*b**5 + 2*b**2 + 0*b**4 + 2\/3*b**3 + 2*b + 0. What is -5*l(w) - 4*y(w)?\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (3 + -1 - (-17 - 1)) + -8 - 10\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -341145054 + 5?\nAnswer: -341145045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -19 - -51. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 3*i**2. Let n(w) be the third derivative of -w**6\/240 - w**5\/60 + 31*w**4\/24 - 13*w**2. Let b(u) be the second derivative of n(u). Calculate b(j(c)).\nAnswer: -9*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = k**3 - k**2. Let u be p(2). Let g be ((-8)\/14)\/(u\/(-14)). What is the second derivative of -s**2 + 3*s + s + 2*s**g wrt s?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 20*d**2 + 0*d - 21*d**2 + 0*d. Let s(c) be the first derivative of -c**5\/15 + c**2 + 1. Let k(b) be the second derivative of s(b). Give v(k(t)).\nAnswer: -16*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 2*h - 1718, -5*w = 3*h - 5*h - 2148. Let r = -212 + w. Does 36 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*h + 5*h - 7. Suppose -h = 3*a + 14. Which is smaller: a or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4.8 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 50\/(-250) - (-889892)\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 12) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -13*i**2 - 4*i + 4. Let p(u) = 6*u**2 - 3 - u - 9*u**2 + 0 + 4. What is 2*l(x) - 9*p(x)?\nAnswer: x**2 + x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t - 19 = -2*a, -16 = -2*t + a + a for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 280380 and 1080?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -4*o - 1173, -o - 2*l - 3*l - 317 = 0. Which is greater: o or -291?\nAnswer: -291","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 2 s, and 1 k when four letters picked without replacement from {c: 2, k: 1, s: 5, q: 1}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 38, 147, 316, 539, 810, 1123, 1472?\n\"Answer: -y**3 + 36*y**2 + 8*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1\/7 (c) -7\/20 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 596\/58979?\nAnswer: 596\/58979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 126 or 506\/3?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-14)\/5)\/((-6)\/2460). Suppose -s + 594 = d, 5*s - 1813 = -2*d + k. Let m = 1004 - s. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 10*z + 13*z - 44*z + 20*z. Let w(u) = -181*u**2. Determine v(w(y)).\nAnswer: 181*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 4*d = -7*d - 201, 4*d = k - 204. Is 5 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/(-6))\/(21\/12 - 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9 + 63. Let l = 48.9 - n. What is l rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2645 + 15012. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 19 = -3*w, -2*w + 2*u + 30 = 4. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28 divided by 72.\nAnswer: -7\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-105)\/(-63)*126\/35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r + 10*r - 104. Calculate the lowest common multiple of (-3)\/(1*-3) - -13 and -4*2\/52 + 41\/r.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 3964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.05 and 61.\nAnswer: 3.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = -52.6 - -50. Let c = -7.6 - i. Put 3, 6, -2, c in descending order.\nAnswer: 6, 3, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 3*r**2. Let o = 83 + -47. Let p(z) = -7*z + 9. Let k(a) = a - 9. Let f be k(5). Let q(i) = -i + 1. Let t(m) = f*p(m) + o*q(m). Give c(t(g)).\nAnswer: 192*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17 - 933*g - 2*g**3 + 326*g - 1311*g.\nAnswer: -2*g**3 - 1918*g - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in -32221781, -64443562, -96665343?\nAnswer: -128887124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 809 - 979 = 10*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -2*t - 4, -5*i = 5*t - 15. What is the second smallest value in 26, i, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 58*s - 15. Let w be v(3). Let n = -126 + w. Let i(t) = -31*t - 1. What is the smallest common multiple of i(-1) and n?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -10 + 9.9. Let d = -4 + 3.5. Which is the second smallest value? (a) d (b) t (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 230.00000161 - 230. What is b rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 8*k**2. Let h = -13898 + 14028. Suppose -2*v + 528 = 4*f, 129 = f + v - 5. Let m(a) = -f - a + h. What is m(c(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b - 2 = q, b + 4*b = -5*q + 30. Suppose -4*k + 340 = 2*t, k - 59 = -q*t + 33. Calculate the highest common divisor of k and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in z**2 + 29*z**2 + 3*z**2 - 3*z**2 - 22*z**2 - 5*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6*c**5 - 7491*c**4 - 65*c**3 - 2*c**2 + 2599047?\nAnswer: -360*c**2 - 179784*c - 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -2*b**4\/9 + 764*b**3\/3 - 99242*b**2 + 15058440*b - 776968200 = 0.\nAnswer: 135, 438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1*-1.17\nAnswer: 1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -27*q**3 + 8*q**2 + 29*q + 26. Determine n(-3).\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5)\/((-10)\/4)*325. Calculate the highest common factor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3299, -3139, 3871, 21157, 52145, 100261?\n\"Answer: 571*d**3 - d**2 - 3834*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1008) - (sqrt(1008) - (sqrt(1008) + 0 + 0)) - sqrt(1008) - sqrt(1008)) + (sqrt(1008) - (sqrt(1008)*1 + 0)) + -3*(5 + sqrt(1008) + -1))**2.\nAnswer: 1152*sqrt(7) + 16272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60196 is divided by 762?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 33415 - 33388. Which is the nearest to 1\/4? (a) -0.2 (b) 0.04 (c) -0.5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1397, 1366, 1285, 1130, 877?\nAnswer: 502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 60 + -53. Suppose -4*g + 5 = -d. Solve 5*f - g - 2 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -44 + 18?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2349\/(-2088) - 33\/(-8). Let j = -1 - -2. Solve -r + c = j for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13)\/113*11436\/74334.\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**3 + h**2 - 4*h - 4. Let s be r(-2). Let a = 9 + 6. Solve 5*g + s + a = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*a = 1386 + 1188 - 3806 for a.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-9)\/(-21) + 130\/(-728). Which is the closest to -1\/3? (a) s (b) -0.9 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 2*s**2. Let r(q) = 8859379*q. Give o(r(t)).\nAnswer: 156977192531282*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4 + (sqrt(363) - (sqrt(363) + (0 + sqrt(363))*5)))**2*5.\nAnswer: -2200*sqrt(3) + 45455","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1.6434957 rounded to one decimal place?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -2*h**3 - 2*h**2 + 19*h. Let d(x) = -x**3 - x**2 + 9*x. Calculate 3*a(w) - 7*d(w).\nAnswer: w**3 + w**2 - 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9*10\/(-360))\/((-33)\/24). Which is the fourth biggest value? (a) 0.04 (b) 23 (c) l (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 11173 and 8513.\nAnswer: 95115749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20 and 729430.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in seven halves of a decade?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19464457*o**6 - 71859182*o**2 wrt o?\nAnswer: -2335734840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/5 + (-128)\/(-80). Solve 5*r - 2*s = 1, 3 = -r - s - i for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y + 9. Let c be i(0). Suppose 6*s - 305 + 77 = 0. Suppose 6*k = -13*k + s. Solve 0 = k*n + n + c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.121 times -0.5\nAnswer: 0.0605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = a**2 - a + 1. Let y(m) = -8*m**2 - 2*m - 12. Let g(u) = 5*k(u) + y(u). Suppose 0 = n + 2 - 4. Let s(v) = v**2 + 2*v + 2. Calculate n*g(z) + 7*s(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve l - 12 = 2*z - 5, 4*z + 18 = -2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 526 minutes before 12:03 PM?\nAnswer: 3:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -13426 = -1143*f + 1006*f for f.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1924 and 888.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 206419 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be 20\/(-3 + ((-59)\/(-18) - 54\/(-243))). Solve -7*s = -15*s - a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 4*p + 20, p + 12 = 4*d - 3*p. Let z be (7*-3)\/((-3)\/d). Suppose -3*s = s - z. Round s to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 710d00 (base 14) in base 6?\nAnswer: 213323044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*h**2 - 344787060*h + 5943905837172180.\nAnswer: 5*(h - 34478706)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2.2 * -3\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1360798370 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 9b6770 - -66?\nAnswer: 9b6816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1 and 82.7?\nAnswer: 82.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, 5, -3, 1, -78 in decreasing order.\nAnswer: 21, 5, 1, -3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*t + 73*t = 117 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 0 - 1 - (-3 - (-10 + 3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -41120010224 + -4?\nAnswer: -41120010233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3916 + 3907. Suppose 9*u = 4*u. Sort u, 3, x, 5 in increasing order.\nAnswer: x, u, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the third derivative of 195*s**8\/112 - s**6\/120 + 239*s**5\/60 + 958*s**2. Find the third derivative of p(r) wrt r.\nAnswer: 35100*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*g**3 - 8282*g - 79*g**3 + 4115*g + 4167*g.\nAnswer: -51*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 2871 and 5252.\nAnswer: 15078492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*u**2 + 3*u**4 - 3*u**4 + 4*u**5 wrt u?\nAnswer: 240*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t + 17. Let f be m(5). Solve -j = -3*x + f, 5*x - 25 = -4*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/3*(-36)\/(32\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -220.224 - -2.224. Are c and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -3*h + 7. Let d = h - 6. Calculate the smallest common multiple of 13 and d.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*s - 99 - 93 - 27*s**2 + 200.\nAnswer: -27*s**2 + 2*s + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 43 a factor of 483455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1731?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1085 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 1, -2, 10298278 in descending order.\nAnswer: 10298278, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -80510, -161008, -241506?\nAnswer: -322004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 29905379 to the power of 1\/3, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 0.4 * -927.125\nAnswer: -370.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3 + (-3 - (-4)\/2). Let a(n) = -n + t*n + 1 - 3*n - n. Calculate a(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + (-4 - (-6 - (5 - -2 - 0))) + 15.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 182 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide -5 by -8854.\nAnswer: 5\/8854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 12 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 6 - (0 + 4 - 2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**0\/(f\/(f\/(f\/f**(-11)))) assuming f is positive.\nAnswer: f**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -91b6 (base 12) in base 3?\nAnswer: -210201110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 2647000 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 776, 824, 872?\nAnswer: 920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 7*h**2. Let k(u) = 3*u. Let a(m) = -7*m. Let o(q) = -2*a(q) - 5*k(q). Determine o(y(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*b + 143 = -27. What is the tens digit of (-6561)\/(-9) - (3 + b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*c = -29*c + 26*j - 3*j - 229, -3*c + j = 7*j - 63 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2259*u = 2382*u - 4525*u - 15544 for u.\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-2))\/(1\/(1\/(-1)))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 3, -119, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 16183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*y = 8*y. Suppose y*b - 3*b = -537. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**3 - 33*j**2 + 62*j - 133. What is v(31)?\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (c + 2*c - c - c + 0*c + 0*c + 0*c + 0*c + c + (1 - 1 - 1)*(0*c - 5*c + 3*c))*(0*c - 2*c + 3*c)*(-2*c**3 + 0*c + 0*c).\nAnswer: -8*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -4\/3, -4, 0, -0.2, -0.02, 129?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 101110 (base 2) to base 13\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 109205 is divided by 102213.\nAnswer: 6992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 31704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -6057 and -0.0997?\nAnswer: 6056.9003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1038 is divided by 173?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r\/(((r*(r\/(r\/(r\/(r*r\/(r*(((r\/(r**(-2)*r))\/r)\/r)\/r)))))\/r*r)\/r)\/r))\/r)**16\/((r*r\/(r*r**(-2\/7)))\/(r*((r**(-3\/7)\/r*r)\/r)\/r*r)) assuming r is positive.\nAnswer: r**(212\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + 5*b - 6. Suppose -1 = -v - b*z, -4*v - z = v - 14. Find the third derivative of 11*x**3 - 18*x**v + 6*x**2 - x**2 wrt x.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*6*(sqrt(108) + -1) + 2 + 5*(-1 + sqrt(108) + (sqrt(108) - -1*(1 + sqrt(108)))))**2.\nAnswer: 504*sqrt(3) + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 402*n - 3*b - 2703 - 126 = 0, -n + 4*b = b - 0*b - 22 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - -3 - (1 + 8 - (13 - 15)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the third derivative of -1\/300*o**5 + 1\/40*o**4 + 0*o + 2\/15*o**3 + 0 + 75*o**2. Let p(u) = 0. What is u?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95 + 17 + 17 + 9*c + 61.\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = -177 + 178. Suppose -4*b = -2*f - 10, -2*f = b - f - o. Solve -b*x - 12 = -6*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*2*sqrt(30) + sqrt(30) + sqrt(210)\/(sqrt(7)*2))\/(sqrt(810) + 1*sqrt(810)*2).\nAnswer: -5*sqrt(3)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z - 69*r - 18 = 6*z - 70*r, -r = 5*z + 114 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, 0.2, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3815\/63516 + 17\/10586. Calculate the common denominator of s and 123\/670.\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -351*h - 5*o + 10 = -350*h, 6 = o + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 49 + -16. Let s = o - 33.124. Round s to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 0 + 0 - 2*v + 3*v - 1. Let f be k(5). Suppose -8 = -2*n - f. Are 2 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n**3 + 2*n**2 - 8*n - 4. Give v(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 1*2\/((-8)\/(-20))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-21156 - 216*k + 21156)*(-2*k**3 - 2*k**3 + 2*k**3 + (0*k + 0*k - 2*k)*(2*k**2 + 2*k**2 - 5*k**2) + 2 + 3*k**3 - 2).\nAnswer: -648*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*m**3 - 2 + 1 + 2 to y + l*m + h*m**2 + f*m**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor s**3\/6 + 11365*s**2\/6 + 11546961*s\/2 + 4367225997\/2.\nAnswer: (s + 439)*(s + 5463)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*p - 3*p + 18. Suppose -x - 25 = -p*x. Let i be (-6)\/x + (-1)\/(-5). Which is greater: -0.1 or i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 56, 57, 58?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -201201022200 - 22010?\nAnswer: -201201121210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*i = 252641 - 910579. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1.4 - -1. Let a = -0.04 + -2.96. Let i = 152 + -148. What is the second smallest value in s, a, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -11011011000100110110001 (base 2) to base 6\nAnswer: -413510333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*u - 2*u - 2*u**2)*(1180*u - 578*u - 281*u) + 2*u**3 + u**3 - 4*u**3 to d*u**2 + o*u + j + q*u**3 and give q.\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - 5) + (-5 - 0) + 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 11\/10 of a week?\nAnswer: 11088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**2 + 2*j + 3. Let n(v) = v - 2. Let a be n(5). Suppose -4*q - 7*y + 6*y = -41, -25 = -5*y. Suppose a*i = -0 + q. What is u(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -6*v + 120. Let l be o(13). Suppose 23*f - 19*f = 56. What is the greatest common factor of l and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 12*h + 184. Let o(n) = 216*n. Determine j(o(g)).\nAnswer: 2592*g + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 173660.\nAnswer: 2, 5, 19, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s be 32\/(-6)*6\/(-22). Let x be 6\/7*(-15)\/(-1485)*63. Factor 8\/11*i + x*i**3 + 0 - s*i**2.\nAnswer: 2*i*(i - 2)*(3*i - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s\/(s*s**(1\/2)*s))**(8\/5)*(s**(-1\/3))**(-28)*(s**0*s)**44*(s*s*s**0*s*s)**(1\/7) assuming s is positive.\nAnswer: s**(5408\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.0038 * -403.8\nAnswer: -1.53444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 324\/11 (b) -31 (c) 4 (d) 1885\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -3*p - 2. Let x(z) = -3*z**3 + z**2. Suppose 0 = 5*b - 2*b - 15. Suppose b*t - 2 = 3. Let l be x(t). Give j(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 j when two letters picked without replacement from ijicmqo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 5024 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 1324330*d - 14784 = 1324638*d for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3226724, 12906937, 29040640, 51627839, 80668540, 116162749, 158110472, 206511715?\nAnswer: 261366484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ykd when three letters picked without replacement from gdggygynkg.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 378 in 5, -3, -2, -2\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*p - 9*p + 15. Sort -8, p, 2 in ascending order.\nAnswer: -8, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -5*x + 50. Suppose q + 4*r + 3 = 0, 0 = 4*q + 2*r - 40 + 10. Calculate w(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4201?\nAnswer: 4201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 3*c - 96. Let v(x) = 2*x**3 - 3*x + 3. Let p be v(2). Let z = p + c. What is the remainder when z is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (2 - -7 - 0) + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and -0.67.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the third derivative of c**8\/56 - c**7\/15 - 7*c**6\/60 + c**5\/10 + 2054*c**2. Find k such that n(k) = 0.\nAnswer: -1, 0, 1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3*1)\/((-30)\/(-30)) - -20*1184\/(-10880)?\nAnswer: 14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 2.4 - 0.4. Which is the closest to -1? (a) 3 (b) 5\/6 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -c - 3 = n, 0 = -2*c + c + 2*n for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be 20\/(-36) + 2\/9. Let b = 3.2 - 3. What is the nearest to t in -1\/5, b, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.159557829 and 2.\nAnswer: -0.319115658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*i + 6 - 14*i + 5 - 11.\nAnswer: -20*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -71 + 41. Let s = f - -31. Let r(n) = -n**2 - 6*n - 2. Let x be r(-5). Put -2, x, s in decreasing order.\nAnswer: x, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d**2. Let u(h) be the third derivative of h**5\/120 + h**3\/6 - 3*h**2. Let n(c) be the first derivative of u(c). Calculate i(n(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 296432709 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**3 - 30*z**2 + 192*z + 46. What is a(10)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 206079 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a - 7. Let l be w(-3). Let m be (-33)\/l - (-1)\/(-4). Suppose 541 - 189 = 4*x. What is the greatest common factor of x and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 3\/(-12) - 191\/(-2). Let c = -96 + b. Let j = 1256 + -1258. Are j and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in v**2 + 51*v - 5*v**3 - v**2 - 8*v**3.\nAnswer: -13*v**3 + 51*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 6 - 2*v**2 + 125*v**3 - 123*v**3 + 5*v + 22 + 4*v**4 + 3 in the form t*v + p*v**2 + r + n*v**3 + l*v**4 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3*((-16)\/18)\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + 3*sqrt(136)\/sqrt(8)*-6.\nAnswer: -18*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b - 4. Let o be l(-8). Find the first derivative of -2*c**4 + 6 + c**o - 3 - 4 wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -43, -203, -373, -559, -767, -1003, -1273, -1583?\n\"Answer: -w**3 + w**2 - 156*w + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(2\/5))**(1\/9)*i**0\/i**(-1))**(-1\/18) assuming i is positive.\nAnswer: i**(-47\/810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 0 = -4, -18 = 2*y + 2*u. Suppose 4*t + 2 = 3*t. Which is the second biggest value? (a) y (b) -0.04 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*o - 14. Suppose 3*p - a = 218, -2*p + 4*a + 375 = o*p. Let s = p - 24. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i\/i**(-1)))**(-8\/5)\/((i*i**(2\/19))\/i**(-1\/3)) assuming i is positive.\nAnswer: i**(502\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 70?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 3*i - 16 = 2*i, 0 = 5*i. Let o be -1 + 175\/10 + t. Let r = -21 + o. Sort -1\/4, 1\/6, r.\nAnswer: r, -1\/4, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 183, 182, 181, 180, 179, 178?\nAnswer: 177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -2*q**2 - 6*q + 6. Let h be m(-5). Let r(o) = -16*o + 211. Let b be r(14). Let u = b - h. Put u, -3, -1 in decreasing order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -184, -185, -186?\n\"Answer: -h - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 19698 and 27?\nAnswer: 177282","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10122 - 221033?\nAnswer: -231221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 55 + -52. Suppose -a = y - 13. Suppose 4*g - 4 = 8. Solve h = g*h - y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (11*y - 11*y + 6*y**2)*(-2 + 2 - 9)*(-20*y + 16*y + 9*y) in the form t + p*y**3 + j*y + o*y**2 and give p.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 580875408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 5*j**2 + 23*j + 54. Let y be a(-24). Suppose 2*v = b + 4629, y = 2*v - 5*b - 2227. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1118194*n**4 + 44*n**2 - 1392*n - 8?\nAnswer: -26836656*n","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuummmmummmue. Give prob of picking 1 u and 1 m.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 353 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 2*y**2 - 4*y**2 + 6*y**2 - 12 - 5*y**2. Let p = 2 + -2. What is c(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -480, -486, -504, -540, -600, -690, -816?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 254 + 3. Suppose 7*o = -215 + y. What is the lowest common multiple of o and 1 + (-1)\/(0 + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 157, 207, 257?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -20*f**2\/9 + 47648588*f\/9 - 6353144\/3.\nAnswer: -4*(f - 2382429)*(5*f - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Let d be (-49)\/(-2)*12\/21. Let s = 16 - d. Is ((-3495)\/30)\/((-1)\/s) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 294 and 2842?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 75 - 507*d + 504*d + 59.\nAnswer: -3*d + 134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 50 - 45. Suppose 3*p + 19 = o*k - 0*p, 3*p = -4*k - 1. Suppose 0*j - 4*j - 27 = -g, 0 = k*g - 5*j - 45. What is the greatest common factor of g and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 78 = v. Let m = 121 + v. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 1, f: 1, d: 2, w: 2}. What is prob of picking 1 d, 1 r, and 1 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -41884 (base 9) to base 16\nAnswer: -6c31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 507 minutes after 3:50 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(2299) + 2)**2.\nAnswer: -66*sqrt(19) + 2308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 446647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 + 0 + 3 + (52 - 39).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -i - 3*q + 113 + 79 = -4*i, -16*q + 80 = 0 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-165)\/10)\/(-33))\/(1\/(-5)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*v**3 + 4*v**3 - 4*v**3)*(1 + v - 1)*(-3 + 0 + 0).\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z be (141\/12)\/((105\/56)\/15). Suppose -2*f = f + 147. Let h = z + f. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21455.\nAnswer: 5, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -4304.4 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(-9))\/(17\/(-255))*4.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-32)\/(-26))\/(-4))\/(6*(-90)\/702).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 25 - 49\/2. Sort 1, f, -2, -0.3 in increasing order.\nAnswer: -2, -0.3, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: 14\/(-12)*(-303)\/(-1414)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/1*(-6)\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d\/(((d*d**(-19))\/d)\/d)*d*d**19*d)\/(d**(-2))**(-13\/4) assuming d is positive.\nAnswer: d**(73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be 13\/(26\/4)*2. What is the highest common divisor of b and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 182 divide 44790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let 5*n**5\/6 - 3101*n**4\/6 - 835*n**3\/2 + 13025*n**2\/6 + 4970*n\/3 - 414 = 0. Calculate n.\nAnswer: -2, -1, 1\/5, 2, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -367\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q**5 - 5210*q**4 + 296155*q**3 - 6008080*q**2 + 51810560*q - 157265920 = 0.\nAnswer: -1097, 7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**2 + 12*w - 8. Let o be v(11). Find the third derivative of 27*t**3 + 128*t**2 - 140*t**2 - 9*t**o wrt t.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 5*b**2 - 182*b - 58. Give g(37).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 323 + -264. Suppose -5 = -64*f + q*f. Solve 0*w = w + f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.5, -5, -1\/16, -95, 4, 3?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 219\/9*3*1. Suppose -5*y + q + q + 93 = 0, 0 = -4*y + 3*q + l. Calculate the remainder when y is divided by (-1765)\/(-706)*(-42)\/(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j = -100 - 35. Suppose -5*y + 21 = 2*d + 4, 3*d + j = 3*y. Let x = 1.1 + -0.8. What is the smallest value in y, -1\/12, x?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.09 and -79883858?\nAnswer: -7189547.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -68c16 (base 14) in base 5?\nAnswer: -31123240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22 + 12*f + 13*f + 17*f - 67*f + 28*f.\nAnswer: 3*f + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 3938, 3649, 3168, 2495, 1630, 573?\n\"Answer: -96*q**2 - q + 4035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -297813.58 to the nearest one hundred.\nAnswer: -297800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.3, -0.43, -10, -2, 39.5, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (-1*sqrt(500) - sqrt(500))**2 + sqrt(500) + (-5*sqrt(500)*2)**2 - (-1 + sqrt(500) + sqrt(500) + -3 - 5*(sqrt(500) + -2 + sqrt(500))).\nAnswer: 90*sqrt(5) + 51990","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) be the first derivative of -x**4\/4 + 3*x**3 - x**2\/2 + 9*x - 3. Let a be k(9). Suppose a = 2*m - 16 - 10. What are the prime factors of m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 26*v + 15 - 7. Is v at most 3315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4455) + sqrt(4455) + (sqrt(4455) - sqrt(4455)*-1))\/(sqrt(60)\/sqrt(48)).\nAnswer: 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3745963 or 56\/9?\nAnswer: 56\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssxrxxsgxsg. Give prob of sequence rx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -41*g + 37*g - 9316. Suppose -5*o + 4384 = -i - 16080, 5*o = 3*i + 20472. Let w = o + g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 15 - 26. Let f = c + 7. Let x(u) = -u - 2. Determine x(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 77005, 77008, 77013, 77020, 77029, 77040, 77053?\nAnswer: 77068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12 + -3*(-1 - -2). Let u be (-2)\/q - 2261\/(-171). What is k in -64*k**2 - u*k**5 + 27*k**5 - 24*k**4 - 36*k - 8 - 18*k**5 - 56*k**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2. Let s(f) = -64*f. Calculate l(s(v)).\nAnswer: 4096*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*m**2 - m**2 + 8*m**3 + m**2 - 9*m**2.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1770*l + 115 + 155*l**3 - 153*l**3 - 226 + 281*l**2 + 111 wrt l?\nAnswer: 12*l + 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 3 (b) -3 (c) -160 (d) 4\/7 (e) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {t: 7, y: 1}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 13 = -15. Let z = q - -34. Let o = 45 - z. What is the least common multiple of 14 and o?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2 - (14 + -2)\/(-4). Let y be 0\/(-3 + m\/1). Suppose -5*j + 3*v = 5*v - 10, -v + 5 = y. Solve j = h - 0*h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 13, s: 3, b: 1}. Give prob of picking 2 s.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is n in 20*n**3 + 92*n**2 - 1696*n + 4032 = 0?\nAnswer: -63\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 8887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -109766340 <= -109766340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/103, -44, -5, 2\/5 in decreasing order.\nAnswer: 2\/5, -5\/103, -5, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0\/(4 + -3))\/(-1). Solve a*m + 10 = 5*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 103524 times -0.7\nAnswer: -72466.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*x + 3, 1907*s - 1911*s + 23 = -5*x for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -3*w. Let s be -2 + 2 + 18\/3. Let k(g) = -8 + s + 2*g + 2. What is y(k(d))?\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 692.356 millimeters in nanometers?\nAnswer: 692356000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -3*x - 3 + 0 - 3*x + (-2 + 3 + 0)*(-2 + 2 - x) in the form r*x + c and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 9*b - 13*b. Is 19839 - ((-1)\/b - 9\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 40*o**2 - 13*o + 2. Let b be x(-2). What is the units digit of (52\/(-8) + 2)*b\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -60 (base 13) in base 10?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + sqrt(19) + 5 + ((sqrt(95)*1)\/sqrt(5))**2.\nAnswer: sqrt(19) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = 5*k**2 + 12*k - 2. Does 42 divide h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:05 AM and 2:36 AM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 q when three letters picked without replacement from {p: 2, q: 1, f: 2, k: 6}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 923 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(48)\/(sqrt(27)\/sqrt(9)))\/(sqrt(64)\/sqrt(800)))**2 + -5.\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v = 1 - 5. Let p(l) = -l + 1. Let w(g) = g - 1. Let m be (7 - -10) + (1 - 3). Suppose 4*f = -f + m. Calculate f*p(h) + v*w(h).\nAnswer: -h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 23008 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -350, -348, -346, -344, -342, -340?\nAnswer: -338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) be the second derivative of 2*r**6\/15 - 109*r**3\/6 - 4327*r**2\/2 + 16*r + 3. What is the first derivative of t(i) wrt i?\nAnswer: 16*i**3 - 109","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g - 2 = y - 9, 4*y + 22 = 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3, 75, 191, 351?\nAnswer: 555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 6, w: 2, h: 4, b: 3, s: 1, l: 2}. What is prob of sequence wwl?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjjjjpjjjjc. What is prob of picking 2 j?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 20, 71, 164, 305, 500, 755?\n\"Answer: l**3 + 15*l**2 - l + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 101118 = 4*t + b, -2*t + 52672 = b + 2110. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -67 - 8 = -25*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ypcc when four letters picked without replacement from cvpvcvvycvzv?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/(-24) + 59\/4. Let l(s) = -s**3 + 4*s**2 - 3*s. Let p be l(2). Let z be (-1)\/(-1) - (6 + -14)\/2. Solve 2*v + p*w - 6 = -w, -z*v - 2*w = -o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-51)\/2)\/((-11)\/22). Suppose -4*p + 3*p = -l. Suppose -3*r + 72 = -p. What is the remainder when r is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 30992*b*f**6 - 2702*b*f**4 - 150*b*f**2 + 369*b*f - 2*b + 5*f**2 + 9 wrt f?\nAnswer: 3719040*b*f**3 - 64848*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand v**3 + 4*v**3 - 4*v**3 + (0*v + v**2 + 0*v)*(-4*v + 0*v + 2*v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*z - 349 + 251 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 172 + -169. Suppose 0*t - 2*t + n*o = 3, t = 2*o - 3. Solve -4*v = -3*f + v - 35, 2*v = -t*f - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 + 6. Let d be (-2)\/o - 204\/(-28). Suppose 19 - d = 2*s. Solve 0*c + s = j + 2*c, 2*c - 8 = -2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 904 and 48?\nAnswer: 5424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (695 + 583 + 119 + 2363)*(3 + 4*v - 3)*(-1 + 3 - 1) as u + n*v and give n.\nAnswer: 15040","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/13161698 and 7\/1196518.\nAnswer: 13161698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 2*r - 86. Suppose -8889*t + 666 = -8871*t. What is d(t)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -2*s**3\/3 - 268*s**2\/3 + 20198*s\/3 - 19928\/3 = 0.\nAnswer: -188, 1, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bm when two letters picked without replacement from mbb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d**2 + 2*d**2 + d**3 + (3 + 0 - 1)*(1 + 3 - 2)*(0*d**3 - 2*d**3 + 4*d**3))*(63 + 143 + 98).\nAnswer: 2736*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*a + 9. Suppose -a*t + 10 = -t. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-559)\/(-11) + (-6)\/(-33) + 0. Suppose -4*i + 1 = -k. Calculate the remainder when 49 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 311*k**2 + 217*k - 2. Let s(w) = -3*w. What is s(p(r))?\nAnswer: -933*r**2 - 651*r + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 294\/5*k - 1144\/5 - 2\/5*k**2.\nAnswer: -2*(k - 143)*(k - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7*-1)\/(231\/(-9))?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -6, -1, -0.3, -1\/3, -0.083, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-i + i - 2*i)*(-1 + 0 + 2) - 1500*i + 2748*i - 1560*i to the form x + q*i and give q.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f**3\/4 + 125*f**2\/4 - 2263*f\/4 - 111909\/4 = 0. Calculate f.\nAnswer: -21, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v = -83 - -159. Let q = 457\/6 - v. Let t = -422.4 + 422. Sort -0.3, q, t in ascending order.\nAnswer: t, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 2 (b) -5004455 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) be the second derivative of t**6\/144 + t**5\/15 - 13*t**4\/2 - 3*t - 1. Let h(i) be the third derivative of z(i). Determine h(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -o**2 + 9*o**2 - 22 - 4*o + 29. Let h be (3\/(-1))\/((-3)\/4). Is q(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10\/((-142)\/(-3408)*-920).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -v**2\/5 - 19981*v\/5 + 19982\/5.\nAnswer: -(v - 1)*(v + 19982)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2678910 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 2 = y - 5*c, -5*c = 4*y - 76. Let k = 27 - y. List the prime factors of k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 2*b**2\/5 + 8844*b\/5 - 374976\/5 = 0.\nAnswer: -4464, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -188 - -885. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14 and 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 67, 245, 513, 865, 1295, 1797?\nAnswer: 2365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 18, 3127, -4, 5, 3, 99 in ascending order.\nAnswer: -4, 3, 5, 18, 99, 3127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -329216, -0.3, 5 in increasing order.\nAnswer: -329216, -0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 47 = -5*x + 2, -o - 3*x = -14. Suppose 0 = -o*k - 66 + 209. Solve 0 = -5*c + t - 2*t + 21, -c + k = -2*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 378425 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6517 and 879187?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-8 - (-10 + 1 - -9)) - 22?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*q**4 + 4*q - q**2 + q**2 - 3*q - 2*q**3 - 1 to the form i*q**3 + k*q + v + u*q**2 + m*q**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhtttthhthhtthhh.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert b15 (base 15) to base 14.\nAnswer: ca3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 54405.6ms?\nAnswer: 54.4056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(1\/4)\/(z\/(z*z*z**(6\/5)\/z)))\/(z**(-2)\/(z\/((z*z**(1\/2))\/z))) assuming z is positive.\nAnswer: z**(79\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -13 - -18. Suppose r*v - 124 = -4*t, 0 = -0*t + 2*t - 5*v - 32. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2520 divided by -840.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pvaqqppfpqcq. Give prob of picking 1 f and 1 a.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -7*y**3 - 55*y**2 - 108*y + 15. What are the prime factors of f(-9)?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8232.2 - 8232. Which is the closest to r? (a) -0.1 (b) 22 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -3*1\/(-6)*32\/(-24). Suppose 5*w + 6 - 16 = 0. Let o = w + -1. Which is the nearest to 2\/7? (a) o (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 2 z when three letters picked without replacement from {z: 3, o: 6, s: 2, g: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 49 in -0.18, -0.22, 0.3, -2\/5, -21, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 188 = 196 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w**2. Let c(s) = -2*s**2 - 4*s. Determine c(v(f)).\nAnswer: -2*f**4 + 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4255694 is divided by 572.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3473 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -16605 - -34235\/2. Let g = l - 497. What is the closest to -0.1 in g, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 - (-1 + 7 + -7 + -3 - 3) - 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**3 - 5*z**2 + 4. Let m be f(-5). Suppose -m*n = l - 349, -l - 4 + 1 = 0. Calculate the greatest common divisor of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-4 - (0 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3548393 to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -3*y**3 + y. Let d(u) = -50*u**3 - u**2 + 33*u - 2. Let c(p) = d(p) + 3*t(p). What is the second derivative of c(b) wrt b?\nAnswer: -354*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 19890 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*b - 754 = -83 + 355 for b.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -18a - 69a?\nAnswer: -846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttttttszttttjz. What is prob of sequence tt?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/((-3)\/15*75\/(-48))*2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-70)\/(-15) - 5)*(-1 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j*j**15))**(13\/2)\/(j**(1\/2)*j**(2\/3)))**19 assuming j is positive.\nAnswer: j**(-5624\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 54 - 18. Let j be (-220)\/(-99) - 2\/s*4. Solve 3*n = 3*o + j*n, 3*o + 3*n = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -188*m**4 - 139*m**4 + 155*m**4 + (-2*m**3 + 3 - 3)*(-1 + 1 + m) + (-2*m**3 + 5*m**3 - 4*m**3)*(3*m - 2*m + 3 - 7).\nAnswer: -175*m**4 + 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:34 PM and 9:25 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 59 divided by 18547?\nAnswer: 59\/18547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 102 divide 12389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 2055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w + 22 - 38 = 0 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 2*j**4\/9 - 43011536*j**3\/9 + 34259116946340*j**2 - 736768792228412546464*j\/9 + 736768483896403040938\/9 = 0. What is j?\nAnswer: 1, 7168589","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q**3 + 7 + q**3 - 1)*(-6 - 9 + 6).\nAnswer: 9*q**3 - 54","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -7980 divided by 1838?\nAnswer: -3990\/919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i + i - i)*(-46 - 42 + 86 + 13*i).\nAnswer: -26*i**2 + 4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1338.5 - 1339. Which is the third biggest value? (a) n (b) -1\/4 (c) -1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1692067?\nAnswer: 13, 73, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/((-93)\/17980*-20)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -585, -2331, -5233, -9285, -14481, -20815, -28281?\n\"Answer: t**3 - 584*t**2 - t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -9 + 15. Factor -1 - y**2 + y**2 - 8*y + a*y - y**2.\nAnswer: -(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 35*i**3 + 1194*i - 597*i - i**3 - 597*i.\nAnswer: 34*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 10950 - -31188. Let d = -114445 - s. Let b = d + 51583. What is b rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4675 is divided by 576.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (-1 + sqrt(1088) - sqrt(1088))**2 + -5 + 3 + ((3 + sqrt(1377) + sqrt(1377))*-2)**2 + sqrt(1377).\nAnswer: 441*sqrt(17) + 22071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-196 - -179) + (3 - (3 + 0 + -1))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -136, -254, -372, -490, -608?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3 less than 15188.490934?\nAnswer: 15191.490934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1810, -1736, -1626, -1492, -1346?\n\"Answer: -2*j**3 + 30*j**2 - 2*j - 1836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-b - 4*b - 2*b)*(4*b - 3*b + b) + (0*b**2 - 2*b**2 + 0*b**2)*(-12 + 3 - 10) + b + 2*b**2 - b as f*b**2 + q*b + u and give f.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let p = -24 - -28. Solve 9*q - p*q - 15 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 173 - 177. What is the smallest value in v, -81, 1?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 4 = 2*w, 0*g - 5*g + 1 = 4*w. Let n be ((-4)\/2)\/(g\/(-2)). Suppose -94 = -n*a - 18. What is the remainder when 54 is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p + 13. Calculate k(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-220)\/11)\/20*(-16)\/(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-18)\/((-108)\/(-282)) + -2*(2 - 4) + -1?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the second derivative of 8*g**6\/25 + 37*g**5\/25 + 2*g**4\/15 - 2*g**3\/5 + 136*g. Solve c(v) = 0.\nAnswer: -3, -1\/3, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b + 1 = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*i - 4*q + 304992, -3*i - 189368 = 5*q - 6358. Round i to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 46\/5 of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 3 + 0)*(26757*k - 326*k**3 - 26757*k) to the form f*k**3 + z + p*k**2 + o*k and give f.\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75 = -14*u + 9. Suppose -4*k - 3*h - h = 12, 0 = -4*k - 2*h - u. Solve k = -5*g - 20 + 15 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -3 + 2\/8*6. Let m = 593 - 592.6. Put n, m, -7 in decreasing order.\nAnswer: m, n, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -167*i**2 + 3*i + 127. Let z(y) = 84*y**2 - 2*y - 69. Determine -6*s(t) - 11*z(t).\nAnswer: 78*t**2 + 4*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -23 + 3*l**4 - 7*l**3 + 0*l**3 + l**2 + 21 + 2*l**3 + 0*l**4 as b*l + p*l**2 + w*l**4 + g*l**3 + x and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(55)\/(sqrt(5) - sqrt(80)) + 3 + (sqrt(44)\/sqrt(4))**2)*1.\nAnswer: -sqrt(11)\/3 + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c**4 + 9*c - 3*c**5 + 4 - 11 + 4 + 8*c**4 - 6*c**2 - 6*c**3 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**3 + 4*v**2 - 9. Let q = 213 + -210. Let p be a(q). Let o(t) = t**3 - 7*t**2 - 3. Let s be o(7). Sort s, 4, p, 1 in descending order.\nAnswer: 4, 1, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 148\/29 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 1 = -b, v - 5 = -3*v + b. Let d be (-1 + -59)*v\/(-3). Suppose 8*y - 4*y - d = 0. What is the highest common factor of 10 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -5*i + 2*i - 6 - i**2 - 8*i - 2*i + 9*i. Give t(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -20626, -20619, -20614, -20611, -20610?\n\"Answer: -b**2 + 10*b - 20635","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*p + 3*p - p)*((p - p + 4*p**2)*(-p**2 + p - p) + 2*p**4 + 8*p - 8*p).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/2)\/(8281\/(-9464)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*b**3 - 876*b**2 - 19800*b - 77600.\nAnswer: -4*(b + 5)*(b + 20)*(b + 194)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -2*m. Let t(w) = 8*w + 5*w - 12*w + 0*w. Give 2*k(x) + 3*t(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2296.3 and 3648992.3?\nAnswer: 3651288.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -247039786 divided by -31426.\nAnswer: 7861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 167.9 take away -34914.974?\nAnswer: 35082.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 44, 51, 46, 23, -24?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 12102216 and 737940?\nAnswer: 60511080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 2 + 4. Let m be (6\/4)\/((3\/2)\/3). Suppose -3*t + 5 = z, 3*t + 2*t + m*z = 15. Which is smaller: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b\/b**(1\/4)*b))**(-3\/7)*b**12*b\/((b\/(b\/(b*b**(2\/33)\/b*b)))\/b)*b)**(-4\/7) assuming b is positive.\nAnswer: b**(-13177\/1617)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(70)*-5*-5 - sqrt(70))*4)\/(sqrt(40)\/(sqrt(4) - -2*sqrt(144))).\nAnswer: 1248*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30767 + 4.\nAnswer: 30771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/7 (b) 0.1 (c) -0.218 (d) 1\/9 (e) -16 (f) 0.3 (g) 2\/7\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*a**2 - 405.\nAnswer: 5*(a - 9)*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 174\/(-261) - (-2)\/(-15)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 14 in 2, 1, -31?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + r - 17 = 2*r, -5*r = 3*h + 57. Let u(v) = v + 35. Let t be u(-34). Let k be (t\/(-3))\/(2\/18). What is the second smallest value in 2, k, h?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13100\/1531 less than or equal to 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g = -36558 + 36567. Let f = 7 + -4. Suppose -f*b + 116 + 73 = 0. Calculate the greatest common divisor of g and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**6\/((w*w**(2\/7)\/w)\/w))**(3\/10)*(w*w**(2\/5))**(4\/41)*w**5\/(w\/w**(-2\/3)) assuming w is positive.\nAnswer: w**(47219\/8610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 2*s + 24. Suppose -6*a = -2*a - s. Suppose a*m = -m + 84. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 85726 is divided by 85648?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -14077, -14089, -14113, -14155, -14221, -14317, -14449, -14623?\n\"Answer: -u**3 - 5*u - 14071","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 589287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -90991*v**2 - 6*v + 48269*v**2 + 45555*v**2 + 6*v.\nAnswer: 2833*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/(-30)*(-9)\/3. Suppose 0 = 3*p + w - 3, -5*p - w = w - 6. What is the closest to p in 0, -2\/5, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 87 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000009860157 rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 3 = 3*u, 9 = -2*k - 5*u. What is the highest common factor of k and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 6 - 8. Let y be (10\/20)\/(o\/(-344)). What is the units digit of ((-6)\/(-2))\/(-3) - y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 + -3 - 0 - 1) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -213 = -5*m + 682. Let z = m + 6. Let i = 342 - z. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 19\/(-5) - (5 - (-144)\/(-30))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*v**2 + 9*v**2 - v**2 + 3*v**2.\nAnswer: 13*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -13\/129 and 46?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2, 1\/2, 0.1, 0.4, -3\/7, 9?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 250451 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: Which is the nearest to -190? (a) -22898 (b) -1 (c) 1\/36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 15*r**3 + 110*r - 6. Let f(h) = -30*h**3 - 196*h + 10. Determine 4*f(p) + 7*n(p).\nAnswer: -15*p**3 - 14*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be -2*1*-3*1. Let u(k) = k**2 + 13*k + 80. Let v be u(-20). Let z = v + -217. Solve m + 25 = -3*h + 4*c, -h - z*c = -7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 3, i: 3, s: 1}. What is prob of sequence gggs?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*i = -7*i - 12. Solve 0*d + d + 12 = i*b, -3*d = -3*b + 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8755 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 22 and 205909.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 3*y**2. Let o(q) = 1615 - 1615 + 2*q**2. Calculate o(z(t)).\nAnswer: 18*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply 107 and -4.\nAnswer: -428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 282\/5 + 2\/(-5). Suppose 117*w + 3740 = 161*w. Let l = w - g. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -3\/5 (b) -0.2 (c) -1601.3 (d) -87 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the first derivative of 2*d + 0*d**3 + 26*d**6 - 19\/2*d**2 + 23 + 0*d**5 + 0*d**4. Find the second derivative of u(j) wrt j.\nAnswer: 3120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -25362 = -793*x + 673 + 11236 for x.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -24039, -2\/5, -0.9 in descending order.\nAnswer: -2\/5, -0.9, -24039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 5*x**2 - 6*x + 3. Let j be p(4). Let n = 40 - j. Let l = 31 + n. Calculate the highest common factor of l and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3 - 3. Let g be (-44)\/(-80) + (-2 - 240\/(-125))*10. Which is greater: g or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-40)\/24)\/(1\/(-3)). Suppose -215 = -4*m + j*m. Let s = 616 - m. Is s 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 55742?\nAnswer: 2, 47, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 + -17388?\nAnswer: -17388.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 11110001 (base 2) to base 11\nAnswer: 1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**3 + 7*g**2 - 5*g - 6. Let p be m(6). Suppose p = 4*u - 7*u. What is the units digit of (-3 + 18)*(u - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 265300 (base 16) to base 3\nAnswer: 11201121021211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) be the first derivative of -5*h**4\/4 + 3*h - 3. Differentiate b(i) wrt i.\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -310930191 divided by -2174337?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor v**4\/2 + 225*v**3\/2 + 16875*v**2\/2 + 421875*v\/2.\nAnswer: v*(v + 75)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8 is divided by 46\/10 + (-4 - 22\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.49 in -4\/5, 5\/6, 7, 2\/3, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/((n*(n\/(n\/n**(-5)))\/n*n)\/n)*(((n*n\/n**(1\/5))\/n)\/n)\/n*n*n*n*n)\/(n**(-4\/3)*n**(-6)))\/(n**(-7)*n*n\/(n**(8\/5)*n)*n)**17 assuming n is positive.\nAnswer: n**(385\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2292*f**2 + 0 + 2293*f**2 - 2 - 30*f)*(3*f - f - f)*(-2 + 6*f + 2).\nAnswer: 6*f**4 - 180*f**3 - 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -81, 9\/11, 2?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.07*-271.\nAnswer: 18.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 + -5. Let j(r) = 5*r**3 + 8*r**2 - 2*r + 2. Let l(n) = 3*n**3 + 2*n**2. Let h(z) = -j(z) + 2*l(z). Is 3 a factor of h(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 3445688.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 13) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1192?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12924769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide -147615 by 3.\nAnswer: -49205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14359 is divided by 388.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**3 - 12*v**2 - v + 14. Let j be p(12). Suppose 0 = -y - j*y + 45. Solve -3*t = -y, 15 = 2*f + 3*t - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -8 (b) 0.16 (c) 0 (d) 7 (e) 2 (f) -1 (g) -33\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19 + (-912)\/(-32))*2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 2 g when four letters picked without replacement from fxxxxgofgjxjxjgbojg?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -7 + -5 + 21 + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-3 - 1) + (7 - -3). What is the greatest common divisor of 54 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82*q + 822 = -80*q. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*a**4 - 9*a**4 - 3*a**4)*(-2 + 0 + 3)*(0 - 3 + 1).\nAnswer: 14*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 90 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q**3 - 8*q**2 + 7*q + 2. Let f be z(7). Let i = 18 - f. Suppose -4 + i = 3*p - 3*t, p = 3*t - 2. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3076, -3072, -3068, -3064, -3060?\nAnswer: -3056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, 0.031, 1\/4, 0, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the third derivative of m**5\/30 - m**4\/6 - m**3\/2 + 18*m**2. Let x be c(8). Let h = x - -2017. Round h to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1482 = -34*v + 37*v. Is v a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 134?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 36 + -35. Which is smaller: o or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*f**3\/5 + 2*f**2\/5 + 4*f\/5.\nAnswer: -2*f*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.3816481071 and -1762.5.\nAnswer: -1762.8816481071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -13 in -0.1, 0.3, -2\/15, 0.5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 - 7*s - 8*s + 6*s)*(138 + 84 - 29) to the form w*s + k and give k.\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 11352250 and 5.\nAnswer: 11352250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a tonne in kilograms?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-130)\/(-26)*(-5852)\/(-1925)*10\/(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-59920)\/(-210))\/107*75\/8?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 27*m**2 + 38. Let k = 79 + -86. Is o(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90 = -3*c - 81. Solve -c = -y - 0*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-192)\/(-224))\/(3\/14)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*q**2 - 220*q - 460.\nAnswer: 5*(q - 46)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18 - 12. Let f be -6 + 4*3\/i. Let t be 6*(f\/3 - -2). Solve 5*w + 3*b - 8 = -0*b, -t*b = -3*w + 28 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 96961 (b) 0.16 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 27442076 and 3966.\nAnswer: 82326228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1.92309 rounded to two decimal places?\nAnswer: -1.92","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h = 37 - 19. Suppose -7*b = -h - 66. What is the highest common factor of b and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 84*c**2*m + 23*c**2 + 10*c*m + 5*c + 1089318*m wrt c.\nAnswer: 168*c*m + 46*c + 10*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 223221925?\nAnswer: 5, 37, 241321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 5. Suppose l = -5*x + 2*g + 129, 3*x - 46 = -3*g + 23. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 7999, 8003, 8007?\n\"Answer: 4*t + 7995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*c - 116 + 463 - 223)*(-c - 5*c + 3*c).\nAnswer: -15*c**2 - 372*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -6*g - 31. Let z be h(-6). Let o(x) = 16*x**2 + 6*x + 5 - 4*x**2 - 9*x**2. Is 22 a factor of o(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -1\/7, 0.4, 601, -3?\nAnswer: 601","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 - (-1)\/(3\/30). Suppose -3*s + 198 = -s. Calculate the greatest common factor of u and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -35*u**2. Let x(y) be the third derivative of y**8\/6720 - 43*y**5\/60 - 2*y**2 - 37. Let v(h) be the third derivative of x(h). What is v(c(o))?\nAnswer: 3675*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-2 + 3)\/(8\/16). What is the second derivative of -5*p**c + 5*p**2 - p**5 - 2*p wrt p?\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 2*f**3 + 7*f - 2. Let o(p) = -17*p**3 - 3*p**2 - 3*p + 3*p**2 + 16*p**3 + 1. Let l be -2 - (7 - 45\/3). Give l*k(i) + 13*o(i).\nAnswer: -i**3 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -45 - -49 - (8 + -25)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -107005*h**2 + 7*h**3 + 107005*h**2.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 8247.685nm to centimeters.\nAnswer: 0.0008247685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6)\/(-2 + 0 + -17). Suppose -3*x - 142 = 191. Let m = -111 - x. Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 3 = -5. Let v be 6*(-4)\/o - -1. Let k be ((-40)\/(-10))\/((-8)\/(-6)). Solve 0 = -5*x + k*m - 3, x = -x + v*m + 10 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 123*c**3 - 5150*c**2 + 2*c - 10559012 with respect to c.\nAnswer: 369*c**2 - 10300*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y**2 - 6*y + 43. Let f be c(-10). Let a = 5 - 3. Determine x so that 6*x - 29 - 20*x**a + f*x + 28 = 0.\nAnswer: 1\/5, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**2*d)\/d**(-2\/11))**(2\/19)\/((d*d**(1\/12))\/d**(-1\/3)*(d*d\/(d**(-2\/7)\/d))**38) assuming d is positive.\nAnswer: d**(-2210983\/17556)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.6438717 from 63074825.\nAnswer: 63074824.3561283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x + 4. Suppose 0 = 5*p - 4*p + 2. Let w be l(p). Let j be -2 - (w - (-3 + 7)). Solve 2*g + g + 12 = j for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*v + v - 5*j - 12, 4*v + j = 48. Let l be -5*(v\/15 - 1). Does l = -2\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2640 - 1734. Let w = u + -599. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1488 + 524 - 483 + 1887*o - 563*o wrt o.\nAnswer: 1324","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jrrrrccrjcjjjcjcrrj. Give prob of picking 2 j.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -45, -214, -669, -1554, -3013?\n\"Answer: -24*j**3 + j**2 - 4*j - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 55 = -2*g, 81 - 6 = -4*i - 3*g. Let z = 30 + i. What is the remainder when 43 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4321436 and 1197?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.06 + 0.16. Let k = 0.3 - r. Let f = k + -0.18. Which is the closest to 0.2? (a) 5 (b) 1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-255)\/10*62\/93.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -q**2 - 6*q. Let b(d) = d**2. What is t(b(i))?\nAnswer: -i**4 - 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be 320\/280*-35 - -42. Factor -10\/3*b - h*b**2 - 4\/3.\nAnswer: -2*(b + 1)*(3*b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = l**2 - 8*l + 8. Let f be p(6). Calculate the remainder when (-2)\/f*-6 + 38 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w*w**(-12)*w\/w**(-2)*((w\/(w\/w**(-3))*w)\/w)**(1\/47) assuming w is positive.\nAnswer: w**(-332\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -691059, -691060, -691061, -691062, -691063?\nAnswer: -691064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -2*r - 16. Let u be x(0). Which is greater: -15 or u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f + 1. Suppose -42*w + 68*w = -52. What is g(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 1 = 3*f - 2*f, 4*f + 28 = 2*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -2*o - 8. Let s(d) = d + 1. Let q(x) = l(x) + 5*s(x). Let f be q(2). Let u(c) = -2*c + 1. Let r(k) = k - 1. Give f*u(t) + 4*r(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) be the second derivative of -y**7\/6300 + y**6\/1350 + y**5\/225 - 2*y**4\/45 - 7*y**3\/3 - 14*y. Let l(r) be the second derivative of f(r). Factor l(t).\nAnswer: -2*(t - 2)**2*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = 40*p + 29. Is w(5) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18 and 160.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -4749?\nAnswer: -4749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -0*r - 4*r. Let w be (-27)\/r*8\/12. Suppose -5*t - 2*b + 210 = 3*b, 0 = -w*b. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 61 + -13421?\nAnswer: -13340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -4*l - 3*n, -2*n + 5*n = -5*l + 27. Suppose 0 = a - 2 - 3. Suppose -4*d + 42 = 2*s, -l*s - 66 = -a*d + 3. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1122, 19, 5, 4 in decreasing order.\nAnswer: 19, 5, 4, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -132 - -165*26\/78\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8870\/5322)\/(10\/144).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2 + 6. Let r(q) = 6*q - 2*q**3 - 10*q**2 + w*q**2 - 6 + 3*q**3. Determine r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 3584 + -2651. Calculate the remainder when h is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17 + 17 + 2*o - 3*o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 309156804 divided by 21636\nAnswer: 14289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -2 + 0*m + 14*m**2 - 2*m - 10*m**2. Let y = 2 + -3. Let q(k) = -k**2 + k + 1. Let a(w) = y*g(w) - 2*q(w). Let s(d) = 4*d**2. Give s(a(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-12)\/5*(-85)\/34. Let u be 20*((-28)\/(-16) - 9\/h). Solve -4*f + 6 + 4 = -2*s, -u*f + 25 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the second derivative of -t**4\/2 - t**3\/6 - t**2\/2 - 8*t. Let k be v(1). Sort -4, 5, k in descending order.\nAnswer: 5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {g: 1, f: 1, o: 2, m: 1, k: 1, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000674 to 7 decimal places.\nAnswer: -0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10\/367 + -337\/1101. What is the closest to -0.02 in -1\/7, k, -0.2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -1, 0.9, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -47\/12 + 8\/3. Let i = 0.133 + 0.867. Which is the closest to v? (a) 3\/7 (b) -2 (c) 2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/6, 2\/13, -0.08522, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*n - 43 = 4*b, 1247*n - 27 = b + 1252*n for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 85228.26 millennia?\nAnswer: 852282.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (1 - 8 + 5 + 4*b**4)*(-348 - 579 + 197) as q*b**3 + a*b**2 + f*b**4 + x + k*b and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 3*c = 785, -c = 2*g + 2*c - 314. Suppose 0*z + 3*z - 117 = 0. Suppose -z - g = -2*k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/((-1)\/(-2) - 2). Let h(s) = s**2 - 1. Let l(t) = 1. Determine a*l(n) - h(n).\nAnswer: -n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out -35.346 * -112.\nAnswer: 3958.752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 4*n**2 + 47*n + 14. What are the prime factors of d(11)?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62358446.\nAnswer: 2, 239, 130457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -1.3 + 1035.3737\nAnswer: 1034.0737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/10 (b) 1\/6 (c) 1\/5 (d) -0.574 (e) -132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**3 + 8*t**2 + 11*t + 12. Let i be d(9). Let s be 2\/((-6)\/75*-1). Let f = -10 + s. What is the greatest common divisor of f and i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-26)\/91 + (-1348)\/(-14). Suppose 2*u - o = c, -2*u + 72 + 36 = 2*o. Is u a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (24*28\/384)\/((-1)\/4)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:31 AM and 1:20 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 5*b + 10 = 0, -b - 7 = -3*l + b. Let y = l - -6. Let h = 6 + y. Solve 0*o - o = 3*x - h, 2*o - 14 = -2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 157*a - 527*a + 714*a.\nAnswer: 344*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jqjytryrrerq. What is prob of sequence rrjj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 h when three letters picked without replacement from {q: 3, h: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence auu when three letters picked without replacement from uteuuuuauuuuuutuauea.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/16*(-1 - 3). Let h = -10 - -9. What is the units digit of w + h - (-5 - 3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 62301, 124575, 186851, 249129, 311409?\nAnswer: 373691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h\/h**(-2\/79))**(-2\/101))**(-27\/5) assuming h is positive.\nAnswer: h**(4374\/39895)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes after 7:26 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 1210 (base 3) to base 7\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q = 3*t - 6469 + 6468, 2*t = 4*q - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*b + 21417 = 41*b. Let s be b + ((-36)\/4 - -16). Calculate the greatest common factor of 41 and s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*k - 97. Suppose 0 = -b - b + k. Suppose -3*d = 2*d - 245. Calculate the remainder when d is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4156 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 26 (b) 12.94 (c) 0.4 (d) -1\/3 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -101\/30 and (-1 - (-28 - 4))\/15.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -155564680*y + 15854811 wrt y.\nAnswer: -155564680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = 376*r. Let i be p(1). Let f(j) = 42*j - 2. Let d be f(3). Let b = i + d. What is b rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 2*n**2 + 2*n - 1. Let r(u) = -6*u**2 - 5*u + 3. Let a = 30 + -6. Suppose -4*f + 36 + a = 0. Let q = f + -26. What is q*t(d) - 4*r(d)?\nAnswer: 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 18 = -1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -1 + -1 + (-44)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -116*c + 119*c + 129 = 0. What is the tens digit of c\/((-6)\/(-180)*-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1234 is divided by 64.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (2 - 5) + (15 - 6)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -3*m**3\/5 + 372*m**2 + 3480561*m\/5 + 20815758\/5 = 0.\nAnswer: -807, -6, 1433","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -2. Let t be -2 + ((-126)\/20)\/(-3). Suppose 5*z - 4*v = 30, 0 = -5*z + 3*v - 5*v + 30. What is the second biggest value in z, c, t?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2172961674.\nAnswer: 2, 3, 13, 71, 43597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.0868 - 0.0868. Let x = -0.13 + 0.2. Let v = x - -0.93. Which is the closest to v? (a) r (b) 5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2990926 to the power of 1\/3, to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-4)*(h*(h\/((h\/(h*h**(-2\/5)*h)*h)\/h))\/h)\/h*(h*h**(1\/3))**(-10)*((h**(-1\/3))**4)**39 assuming h is positive.\nAnswer: h**(-1031\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 319033 is divided by 199.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 1200000 = z. What is z rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -31536, -62895, -94254, -125613?\n\"Answer: -31359*t - 177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -10754 >= -75281\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1\/6 (b) 2\/1723 (c) 0.8 (d) 8 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:15 PM and 10:34 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -10086, -20133, -30180?\n\"Answer: -10047*w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes before 1:31 AM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 890 + 2 - (-7 - -3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 6. Let t be 1\/4 + 19\/d. Let n = -14 + 14. What is the second biggest value in 2\/5, t, n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 4*r + 16, 4*r = -3*v + 24. Which is the third smallest value? (a) v (b) 0.5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine d, given that 25*d**5 + 15*d**4 - 23159*d**3 - 215139*d**2 + 88834*d - 8976 = 0.\nAnswer: -24, -11, 1\/5, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1 - -1. Suppose a + d + 10 = -3*a, 2*a = d - 2. Put u, a, 0 in decreasing order.\nAnswer: u, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 33, 3, -1, 4 in decreasing order.\nAnswer: 33, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*u = -18*u - 2*g + 240, -3*u + 2*g = -760. Let y = 250 - u. Solve y = 3*i - 12 + 27 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -20 (base 16) to base 12\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -28 + 32. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 134, 141, 160, 197, 258, 349?\n\"Answer: r**3 + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of -3 + (1 - 2) + 14 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7 - 4. Let x be ((2 - w) + -2)*-1. Suppose x*y = -o - 1, 0*y + 43 = 5*o - y. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -96*n. Let p be (0 - 1)\/(2\/(-36)). Suppose p*w - 12*w - 42 = n. Calculate the remainder when w is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47940.\nAnswer: 2, 3, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t**3 + t**2 - 3*t - 4. Determine i(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*s**3 - 86*s**2 + 4*s**3 + 86*s**2.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 6*g - 17. Let o be f(8). Let q(z) = 11 + 11 - z**2 - z + 6 - o. Determine q(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-948)\/(-632)*10\/1.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 5, -196, 0.1, 3?\nAnswer: -196","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*b + 4 = 12*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 22 (c) -0.1 (d) -20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*n - 2 + 11*n - 152*n**2 + 461*n**2 + 634*n**2 - n to v + l*n**2 + p*n and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 57*l**2 - 579*l. Let x(q) = 2*q. Determine x(a(n)).\nAnswer: 114*n**2 - 1158*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = -24 + 10. Let g(m) = -7*m - 2. Let p(y) = 6*y + 1. Let z(i) = -3*g(i) - 4*p(i). Does 18 divide z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 134 and 621961?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.3496 + -0.0896. Which is the third biggest value? (a) 2\/5 (b) -2\/9 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 14\/5*y**5 + 6\/5*y**3 + 24\/5*y**4 + 0*y + 0 - 4\/5*y**2.\nAnswer: 2*y**2*(y + 1)**2*(7*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a**2 - 12*a - 4. Let h be g(-6). Suppose 0 = -5*b - 7 + h. Suppose b*s - 50 = -10. Calculate the highest common divisor of 72 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 4 from 38.3.\nAnswer: 34.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 46835 = -1350*y - 18148 - 27293 - 11674 for y.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t + 4*t - 4*t)*(5*t**2 - 2*t**2 - 2*t - t**2).\nAnswer: 4*t**3 - 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(360) - (sqrt(360) + (sqrt(360) - -2*sqrt(360))*3))\/(sqrt(132)\/(sqrt(11) + (1*sqrt(11) - sqrt(11)))))\/(sqrt(726)*-2 - sqrt(24)*-3) + 3)**2.\nAnswer: 27*sqrt(5)\/8 + 2709\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -84 + -30388ab?\nAnswer: -3038973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be -2*2*(-2 + 1). Let p = -28 + 32. Are q and p non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**2 + 22292*o + 377808.\nAnswer: 4*(o + 17)*(o + 5556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and 7086.\nAnswer: 2125.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.108044 and 3.99.\nAnswer: 0.43109556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (5 + 4*-2*sqrt(72)*-3 + 5)**2.\nAnswer: 2880*sqrt(2) + 41577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5\/3 + 3\/2. Suppose 3*t = 8*t + 20. Which is the biggest value? (a) t (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/3*(-10)\/(-25). Let l(o) = o + 2. Let q be l(-3). Let a be (q - 1)*(-10)\/4. Which is bigger: a or n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 24870?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 26124?\nAnswer: 2, 3, 7, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + ((sqrt(121) + -6*(sqrt(121) + sqrt(121)*-1) - (sqrt(121) - 3*(-1*sqrt(121) + sqrt(121))))*-1)\/(1*sqrt(99) + (sqrt(176)*1 - sqrt(11))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-4)\/(-4))\/(1*-1) + 8. Suppose -2 + w = h. Let o(b) = -b**2 + 4*b + 4. Let m be o(5). Sort m, h, 1, -2.\nAnswer: -2, m, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*v + 622 = -422. What is the least common multiple of v and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 216 and 45197244.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 12 = -3. Suppose -2*w = -f*w + 60. Calculate the remainder when w is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 7, 1, -0.4, 19 in descending order.\nAnswer: 19, 7, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1438091 is divided by 3534?\nAnswer: 3287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 - 22*g + 66. Let i be f(3). Which is smaller: -0.04 or i?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*v - 3102 + 2994 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4*20439.5\nAnswer: 81758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 343910261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = z**2 + 3*z + 1. Let q be f(-1). Let v = 0 - 0.2. Which is the closest to q? (a) v (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -a**2 - 38*a - 155. What is m(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert -111 (base 6) to base 12.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = 9*m + 12. Let y be ((-54)\/(-5))\/(7\/(280\/12)). Suppose -p - 2*p + y = 0. What are the prime factors of r(p)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-3 + 1)\/(-2))\/((-2 - -3)\/(-1)). Are -1\/74 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((p**(1\/5)*p)\/p*p**(-3))\/(p**6\/(p*p**(-6)*p)))\/(p**(-2)\/p*p**(-6)*((p*(p\/(p\/(p**(-3)\/p)))\/p)\/p)\/(p**2\/p)) assuming p is positive.\nAnswer: p**(11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence amak when four letters picked without replacement from kakamackaoa?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7975045 millennia in months?\nAnswer: 9570.054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r - 34*p + 32*p - 8 = 0, 2*r = p + 4. Sort -5, -2, 11, r, 7.\nAnswer: -5, -2, r, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 644*k**2 + 122*k + 1067. What is the thousands digit of i(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 20 - 8 - 8 - (-5 + 27)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(2\/17)*o**(1\/10))**(1\/16)*(o**6*o*o\/o**0)\/(o**(-2\/9)\/o**(4\/3)) assuming o is positive.\nAnswer: o**(234253\/24480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3542795 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 5*h + 2*h - 39 = 0, 4*f + h + 64 = 0. Let n = -8 - f. Suppose 3*z + 15 = 5*i, -n = -6*i + 3*i + 4*z. Put 2, i, 1 in descending order.\nAnswer: i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 31 = -2*v, 299*y - 294*y = 3*v + 41 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 0.5 (b) -21 (c) 140\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = -o + 0*o - 1 - 2. Suppose -2*n - 5*q - 27 = 0, 2*n - 3*q + 6 = -q. Let t be c(n). Sort -5, t, -3 in ascending order.\nAnswer: -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes after 1:48 AM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 16380827767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*z - 36*z + 23703*z**2 + 27*z.\nAnswer: 23703*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 263999993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*o + 25 = -o. Suppose 0 = h - 4*u + 10, 35 = -5*h + o*u - 0*u. What is the least common multiple of 20 and (-4 - 2)*10\/h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/600 and -43\/10026?\nAnswer: 1002600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -5095, -10191, -15287, -20383?\n\"Answer: -5096*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*5*380\/950?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes before 5:41 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 30*a**2 - 8*a - 11. Let w be d(-2). Suppose 0 = c + 2*p - 30, -c - 4*c = 5*p - w. Calculate the highest common factor of c and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*t - 14*t = -203 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = t + 5*n, -10*t + 33*n = 36*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3344 and 121183568.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-111)\/2*(-1475 + -11) - -3. What is the hundreds digit of ((-2)\/3)\/(w\/16497 + -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 27220*o**2 + 3 - 3 - 29691*o**2 + 5*o + (-o + 2*o - 3*o)*(5*o + 0*o - 2*o).\nAnswer: -2477*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*((-8)\/((-16)\/4))\/(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -6558.0344 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/(-9))\/(-1*2\/6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 9 minutes after 9:32 AM?\nAnswer: 9:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:18 PM and 10:38 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2111211 (base 3) to base 12\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1222903943 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 193324 and 5321.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 2\/5 (c) -9 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 6\/(-9)*(-3)\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrvvavaavav. What is prob of sequence rr?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6797?\nAnswer: 7, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2 + -2. Let d(t) = t**2 + 2*t - 3. Let r be d(b). Suppose z - 2*x = -3*z + 10, 3*z - 10 = 2*x. Solve 7*s = -r*p + 2*s + 30, -5*p - 2*s + 15 = z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 3 = -7. Let t = 8 - 8.3. Let o = -19712 + 19715. What is the closest to o in 0.5, t, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = s**2 + 23*s + 5. Suppose 0 + 30 = -6*f. Let z(n) = -12*n - 3. Let o(y) = f*z(y) - 3*k(y). Let o(c) = 0. What is c?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 35, -1\/3, 0, 0.4, -363, -1\/9 in decreasing order.\nAnswer: 35, 0.4, 0, -1\/9, -1\/3, -363","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 1634081353 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 258*r - 258*r - 21*r**4 + (3*r**3 - 3*r**3 + r**3)*(r + 2*r - 4*r) + 8*r**4 - r**4 + 2*r**4.\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -103574 (base 8) to base 4\nAnswer: -20131330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**2 + 7*c + 9. Calculate the remainder when 67 is divided by i(-8).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 131.295698 to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eja when three letters picked without replacement from ajzazzzje?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 30.4 + -30. Suppose -3*j - j = 5*p + 23, 5*j - 2 = 4*p. Which is the third smallest value? (a) y (b) j (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -79 - -86. Let a(x) = 2*x**2 - 4*x + 2. Calculate the remainder when a(4) is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1340 - -2?\nAnswer: -1336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 97130 + 85891 = 50*i + 16671. What is the thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -581 + 584 + (10 - 1 - -1).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28008637 is divided by 4672?\nAnswer: 4669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 201 and 134?\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = -3*y**3 + 5*y**2 - 9*y - 10. Let u(p) = -p**3 + 2*p**2 - 4*p - 4. Calculate 4*s(b) - 10*u(b).\nAnswer: -2*b**3 + 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6446\/3 - -25639\/12. Find the common denominator of a and 31\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 82 + 570 = -74*o - 88 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 738028471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 54*j**2*s**3 - 2*j**2 + 21*j wrt s.\nAnswer: 162*j**2*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0\/(-1) - (-3 + -1). Let t = k - 6. List the prime factors of -8 + 43 + 4\/t.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.0216 - 0.0216. What is the second smallest value in 0.03, -2, -5, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -3439.6 and 6828.1.\nAnswer: 3388.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 113259.\nAnswer: 3, 19, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 149306238?\nAnswer: 2, 3, 109, 76099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 4*j**4 + 276*j**3 + 2088*j**2 - 26192*j + 41760 = 0.\nAnswer: -58, -18, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2\/17, -12972, -2.63?\nAnswer: -12972","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ncnncfbbcbbnncnc. Give prob of picking 2 c and 1 b.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20 - 24. Let m be (-68)\/48 - (-9)\/12. Is m at most q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -0.33, 0.2, 0.50999, -3, 0.1?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1092249295?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*v = 15, -5*v + 2788 = -10*x + 2823 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -22 + 65\/3. Let j be 2\/(-3) - (-16)\/18. Which is the closest to h? (a) -2 (b) j (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - 0 - ((-4)\/(-2) - 2). Let z be 4*(r + (-3)\/(-9))*9. Suppose z*d - 7*d = 215. Calculate the remainder when d is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (sqrt(325) - (sqrt(325) + -1 + -1 + sqrt(325) + sqrt(325))))**2 + (4*(sqrt(208) - (-3 + (sqrt(208) - (-1 + sqrt(208)))) - sqrt(208)))**2.\nAnswer: 20*sqrt(13) + 1365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 352126 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 3*j - 21 = 0, 17*h - j = 16*h - 3. Put h, 4\/3, -4\/5 in descending order.\nAnswer: h, 4\/3, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 596813629 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4722218?\nAnswer: 2, 2361109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-7)\/(-2) + (-2)\/(-4). Let h be ((-15)\/(-10))\/((-3)\/(-4)). Suppose -5*t = h*o - 53, -o = -2*t + 6*t - 43. Solve -36 = 5*p - t, w*p + 16 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the third derivative of s**5\/60 + s**4\/12 + 14*s**3\/3 + 352*s**2. Determine t(0).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that -w**2\/4 + 11371*w\/4 - 5685\/2 = 0.\nAnswer: 1, 11370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 1592, 3185, 4778?\n\"Answer: 1593*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1792)\/(-320)*((-10)\/(-15))\/((-140)\/(-1100))?\nAnswer: 88\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from xztgxzxtqxqg. What is prob of picking 1 q, 2 z, and 1 t?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 48 a factor of 1152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c be (314718\/(-4952))\/(77\/(-44)). Let o = c + -19\/619. Let s = o - 2221\/56. What is the common denominator of -71\/10 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/26? (a) 533\/8 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -113 less than or equal to -1139\/10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24885*w**3 - 7500*w**3 - 3057*w**3.\nAnswer: -35442*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7\/(((-1365)\/34775)\/(36\/60))?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -16\/3 (b) 0.2 (c) -0.086 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b - 3*n - 6 = 0, 485 = -4*b - 5*n + 510. What is the lowest common multiple of 5292 and b?\nAnswer: 26460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -3456 and -3477 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a be 146\/(-10) + 15\/25. Which is greater: -15 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 138102 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -197*z**2 + 669*z**2 - 466*z**2.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 - 6*r**2 - r + 6. Suppose 0 = -5*h - w + 9 + 20, 0 = -5*h - 4*w + 26. Calculate l(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 86, 219, 408, 653?\nAnswer: 954","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 34\/5 of a kilogram?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1728469\/498988 - 6\/17821. Let z(j) = -10*j + 38. Let b be z(4). What is the common denominator of v and (-12)\/(-7) + b - 3132\/504?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.06 - -0.16. Suppose -4*g = -9*g. Suppose -4*s + s + 6 = 2*i, -4*s + 16 = g. What is the closest to x in i, 0.5, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -l*m**3 - 49*l*m**2*o**2 - 2*l*m*o - 24*m**3*o**2 + 23567*m**2*o + m*o**3 wrt o?\nAnswer: -98*l*m**2 - 48*m**3 + 6*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of 43\/4*p**4 + 0*p + 0*p**3 - 16*p**2 - 37. What is the second derivative of q(n) wrt n?\nAnswer: 258*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -135*y**3 + 87251590*y**2 - 14097855004740*y + 1044285077160 = 0.\nAnswer: 2\/27, 323154","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Add together -835.22 and 4.\nAnswer: -831.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1701a (base 14) in base 10?\nAnswer: 57648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -83 + c1?\nAnswer: 3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 720939821 divided by 1745617.\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -246*c + 21. Let o be l(6). Let s = o - 385. Let h = s - -2661. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -6*h. Suppose 14 = 4*o - r - r, -r + 5 = 4*o. What is the second derivative of -2*z + 4*z + z**o + h*z**2 wrt z?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = g**2 - 14*g + 15. Let j be i(13). Suppose 57 = 4*o + o - 3*k, -17 = -o + j*k. Suppose -4*f = -o - 123. List the prime factors of f.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 + 7 - 28) + 22 + 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -157 + 627\/4. What is the third biggest value in -0.3, 26, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 379073.\nAnswer: 379073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is a2a7 - 47?\nAnswer: a260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/843920 and -109\/4592.\nAnswer: 34600720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:59 PM and 10:57 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f - 4 = -4*l, -l - 4*l - 3*f + 5 = 0. Let m = -1\/140 + 569\/1260. Is l >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 105341?\nAnswer: 105341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 0.053 times 10\nAnswer: 0.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 115\/(-621)*(-1146)\/4775?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 24 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -7124 or -7310?\nAnswer: -7124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**3 - 5*g**2 - 31*g - 5. Calculate the lowest common multiple of 54 and q(-3).\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -5739 - -17218\/3. What is c in -1\/6 + m*c - 1\/6*c**2 = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ykvyyxykvxvv. What is prob of sequence yv?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = 221*k**2 - 2321*k - 17126. Give w(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 + 5*h**2 - 3*h + 2. Let s be -5*((-8)\/(-5) - 2). Let m be u(s). Calculate the greatest common factor of 88 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f = 3*q - f + 3, -11 = -5*q + 3*f for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 905897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand t + 5*t - 3*t + (1 - 2*t - 1)*(-4 + 6 - 3) + t + t - 3*t - 8*t - 3*t + 0*t + (1 + 4 + 0)*(3*t + t - t)*(-1 + 0 - 1).\nAnswer: -37*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*p + 4*v - 4, -5*v = -p - 10*v + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1033276698180 + 1033276697603.999999639. Let s = -576 - x. What is s rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5 + 15*i**2 - 17*i**2 + 13*i**3 + i**4 + i - 3*i to n*i**4 + t + h*i**2 + x*i + f*i**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (7\/21)\/((2\/1)\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.9 - -0.8. Let k = l - 0.1. Let f be 2\/(3 + -18 + -2). Sort -2, f, k in increasing order.\nAnswer: -2, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*w - 8*w - 10 + 15*w - 7*w - 4*w as l + y*w and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Let m = 6821 + -6813. Suppose -3*q = -2*q - 5. Solve -3*h - q = -m*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.03848039 * -0.1.\nAnswer: -0.003848039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 t when two letters picked without replacement from atpa?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6\/625 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 96*f**3 + 141*f**3 - 238*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 - 0) + 0\/4. Let k be 1 + 2 + 0 + o. Let y(d) = d - 2. What is y(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2136 divided by 6?\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find x such that x**5 + 441*x**4\/5 - 41762*x**3\/5 + 144254*x**2 + 41757*x\/5 - 721711\/5 = 0.\nAnswer: -751\/5, -1, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w**5\/9 + 134*w**4\/3 - 15134*w**3\/9 - 166502*w**2\/3 - 4192832*w\/9 - 1229312 = 0. What is w?\nAnswer: -9, -7, 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-4*d - 2*d + 4*d)*(1 + 3 - 6) + 2*d - 5*d + d + 0 - d + 0)*(0*d**2 + 3*d**2 + 0*d**2) to o*d**3 + w*d + u*d**2 + p and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-91)\/78*3\/(-7).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/18 and -61\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n**3 + 3*n**3 - 2*n**3)*(-2 - 5 + 0)*((12 + 1 + 4)*(n - 2*n - n) - 4 - 2*n + 4).\nAnswer: -252*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 1.553237ug?\nAnswer: 0.000001553237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 2*z**2 - 16*z + 20. What are the prime factors of p(-6)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 5538 + -5400. What is the greatest common divisor of 30 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 126509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-22 + -4)\/((-2)\/4). Let j = -37 + i. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from {j: 9, l: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3 + 5914?\nAnswer: 5911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 166*a**2. Let k(j) = -2*j + 37. What is k(z(n))?\nAnswer: -332*n**2 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*z + 2*z - z)*(-1 + 3 - 4) + (-z - 3*z + 6*z)*(2 - 2 + 2).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 40*v - 2 - 93*v + 57*v. Determine z(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 13*c - 2*c**3 + 12*c**2 + 12*c - 35*c = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**3 - 45*u**2 + 89*u - 134. Let m be x(43). Let w(o) = -6 - 15*o - 6 - 3. What is the units digit of w(m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 647 minutes after 7:56 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*q + 8*q - 8, -3*q = 2*o - 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 66847 and 6077.\nAnswer: 66847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4297410*-0.019.\nAnswer: 81650.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -179c0c6 (base 13) to base 9\nAnswer: -15450318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (8\/(72\/45))\/(0 + 1). Suppose 0*w + 6 = -5*v - 3*w, -3*v = -3*w - 6. Suppose j*c = 6*c + 5*s, v = 5*c - 5*s. Which is greater: c or -2\/33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 202165?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 22741337249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 3 + r + (-3 + 0 + 1)*(3 + 2*r - 3) + 0*r + r - 2*r)*(-6*r + 4*r - 8*r)*(1 - 2 - 1) in the form a*r + w*r**2 + u and give w.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -0.05 (b) -0.3 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8244 - 7675.1. Let o = j + -569. Which is the closest to o? (a) -2\/11 (b) 0.02 (c) 2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 525106 less than or equal to 525134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (135\/(-18)*(24\/45)\/(-2))\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 33, 140, 309, 534, 809, 1128, 1485?\nAnswer: 1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -20 + 25 + -2 + (2 - -6 - -2)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6624 and 140139.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -346*k**3 - 83025*k**2 + 83025*k**2 + 403*k**3.\nAnswer: 57*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be (42\/21)\/((-1)\/(-5)*2). Let h be 198\/30 + (-3)\/n. Solve -15 = h*w - w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = 73*j - 109. Determine w(6).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 62073160 to the nearest integer?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} {"text":"Question: Let v = 0.31 - 12.31. Let x = -1454.93 - -1443. Let n = x - v. Which is bigger: n or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 684*w**2 - 684*w**2 + 1 + w**4 - 449*w**3 in the form x*w**3 + l*w + s*w**4 + z*w**2 + m and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*t - 5*t - 8*t)*(-2*t**2 - 4*t**2 + 3*t**2) + 2*t**3 - t**3 + 0*t**3.\nAnswer: 31*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + 0 - (15 - 19 - (0 - -5)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q - 2*q - q)*(-2 + 2 - q)*(q**2 + 1 - 1) + (q + 5*q - 4*q)*(q**3 + 0*q**3 + 0*q**3).\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -51 + 31. Let s = -19.54 + 0.54. Let w = s - k. What is the third smallest value in 2, -1, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -11*f**3 + 13*f**2 + 4*f + 2. Let b be y(-5). Suppose 1033 = -2*s - 389. Let p = b + s. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y - j + 25 = -3*j, -2*y - 4*j + 66 = 0. Suppose -313 = -3*f + y. Let q(o) = -231*o + 119*o + f*o. Let r(x) = 35*x. What is q(r(d))?\nAnswer: 70*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -14*o**2 - 158*o + 3. Give w(-11).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(306)*4)\/(sqrt(4)\/(1*sqrt(2))) + -1.\nAnswer: -1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 335314, 335485, 335654, 335821, 335986, 336149?\nAnswer: 336310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 506903 (base 11) to base 4.\nAnswer: 3012303331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -180804 or -7332?\nAnswer: -180804","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = -16102.3 + 16102. Which is the third smallest value? (a) 0.5 (b) -1844 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 8*x**2. Let d(i) = 15 - 15 - 2*i. What is d(f(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of -p**2 + 719. Let i(a) be the second derivative of -a**4\/4 - 5*a**2\/2 - 5*a. Determine c(i(o)).\nAnswer: 6*o**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/18 - 32\/90. Let l = -109.69 - -110. Let x = 0.41 - l. What is the biggest value in x, k, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1655*c**3 + 5994*c**2 wrt c?\nAnswer: -9930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 96 and 69104112?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zbg when three letters picked without replacement from bdzbhddzdgbzgdzdgz.\nAnswer: 5\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 10*o - 5 - 5 - 6*o - 6. Suppose h - 6*h = i - 55, 0 = 2*h - i - 15. What is the remainder when l(11) is divided by h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 5*b + 2 = -2, 2*b + 4 = 4*h. Suppose -h*o + 1 = -65. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = -j**3 - 3*j**2 - 3*j + 2. Suppose -3*t = 0, 793 = 3*i + t - 98. Let m = 300 - i. What is the remainder when b(-3) is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2017146 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the first derivative of -1\/18*y**6 + 0*y - 14 - 1\/15*y**5 - 1\/3*y**2 + 1\/9*y**3 + 1\/4*y**4. Suppose z(j) = 0. Calculate j.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/4)\/(15\/(-424 + 4))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2c + -2e86d?\nAnswer: -2e841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 2*p**2 - 71*p - 520. What is the remainder when 820 is divided by q(44)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -9426\/13 or -725?\nAnswer: -9426\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 2 + 0 = 3*p, 2*k = -3*p - 22. Let d(u) = -u + 6. Let x be d(p). Suppose -3*l - x + 82 = 0. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:22 PM and 10:44 PM?\nAnswer: 382","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**3 - 7*d**2 - 18*d + 54. Give h(8).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 150 + -150.31. Which is the smallest value? (a) x (b) -1\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 69*m - 60*m + 2*m.\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-22856)\/(-10) + 48\/(-80)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -3\/8, 4, 49.\nAnswer: -1, -3\/8, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 1.3150776 months?\nAnswer: 0.001095898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -31\/14 - -5\/2. Let r = 2.4 + -2. Which is the biggest value? (a) 0 (b) m (c) r (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 3744 and 936?\nAnswer: 3744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 520 minutes after 12:55 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 3513*i**4 - 828.\nAnswer: 14052*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -92 - -65. Let l = p - -53. Calculate the highest common factor of l and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1473269 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: 18\/114*(-6080)\/1600\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 30 - 75. Let j be 3\/125*l\/828. Let x = 53469\/4600 - j. What is the common denominator of 15\/8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 * -852\nAnswer: -5112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 - 73 = -4*m. Let r = m - 9. Suppose 5*a - 53 + r = 0. Calculate the greatest common factor of a and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*f - 23 = -73 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1301278*q - 1301236*q + 2310 = 0 for q.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 180888*q**4 + 2*q**2 - 667049*q.\nAnswer: 4341312*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve c = -z + 7, -7*c + 2*c = -5*z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jbjb when four letters picked without replacement from {m: 1, b: 4, j: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -63*r**3 - 5*r**2 + 7*r + 29. Does 52 divide n(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 20.8 * -0.3\nAnswer: -6.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.87 + -1.004. Let j = -1339717 - -1339716.8659894. Let t = j - a. What is t rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 121420, 242840, 364264, 485692, 607124, 728560?\nAnswer: 850000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2753960038?\nAnswer: 2, 277, 4971047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -7388*h**4 - 258*h**3 - 3238853*h**2 + 2 wrt h?\nAnswer: -177312*h - 1548","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add -2777.7454 and -8.\nAnswer: -2785.7454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 3\/7 (b) -2\/65 (c) -6 (d) -1 (e) -0.61\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is -156\/1506547 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -13*t**3 - 3*t**2 - t + 2. Let z be h(-2). Suppose -16 = -2*x - z. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 13*t**3 - 10*t**2 + 4*t - 37. Let v(l) = -7*l**3 + 6*l**2 - 3*l + 18. Give -3*h(q) - 5*v(q).\nAnswer: -4*q**3 + 3*q + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 231 and 264.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z = 31 + -33.7. Let o = z + 5.3. Let t = o + -3. Sort t, -5, -2\/3 in ascending order.\nAnswer: -5, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 19161?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**3 + 3288*p**2 - 692424*p + 39209984.\nAnswer: -2*(p - 1408)*(p - 118)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -445065 + -3116?\nAnswer: -448182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o**3 + o**3 - 5*o**3)*(2*o**2 - o**2 + o**2 + (o + 0*o - 4*o)*(-3*o - 4 + 4)).\nAnswer: -22*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 0.06, -0.5, 307?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1885 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 3\/(-6) - 417\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 371897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 402.718743 minutes to weeks.\nAnswer: 0.03995225625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 92139429?\nAnswer: 3, 30713143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 33*l**2 - 8444*l - 1025. Determine n(256).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cpccppccpkcpc. Give prob of sequence kc.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-121 - (-3 + 6)) + (-321 + 340 - (2 - -32)).\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((n*n**0)\/n)\/n)\/n)**(-2\/29)*n\/(n**(-2\/3)\/n)*n**2 assuming n is positive.\nAnswer: n**(418\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*l**2 + 14488*l + 43446.\nAnswer: 2*(l + 3)*(l + 7241)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + j = 0, 4*n = -n + 5*j + 40. Solve n*k + k = -20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m - 5*h + 5018 = 0, -4636 = -3*m - 2*h + 10366. What is m rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/((h**(1\/3)\/h)\/h*h))**(-23) assuming h is positive.\nAnswer: h**(-115\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 109713*v**4 - v**3 - 2*v**2 + 43*v - 9.\nAnswer: 2633112*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, -1\/4, -31?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 4\/5, 422, -1\/45?\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find t such that 5*t**3 - 54613095*t**2 + 149129479967400*t + 149129534580500 = 0.\nAnswer: -1, 5461310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-6)*t**(-5)*t**(-5)\/t**(3\/5))**(3\/7) assuming t is positive.\nAnswer: t**(-249\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -12.2152013 to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 990926695?\nAnswer: 5, 11, 157, 114757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 7.01526 millilitres?\nAnswer: 0.00701526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 25 divide 2103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z**2\/3 - 43*z\/3 = 0. What is z?\nAnswer: -43, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17179114, -34358231, -51537348?\nAnswer: -68716465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4 - -3) + 0 + (-16 - 15 - -14).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*d - 6*d - 13951 = -3*w, 3*w + d = 13930. Is w a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the third derivative of -263003*v**5\/60 + v**3\/2 + 3*v**2 - 3*v. Let f be y(1). What is f rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 2 + 17 = 5*k, -2*k = -4*z - 2. Suppose -3 = -3*h + k*y, 14*h - 2 = 12*h - y. Let g = -72\/35 - -1356\/455. Is h != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 261 - 261 - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 16*y**3 - 14 - 13*y**3 + 18 + 2*y as i*y**3 + g*y**2 + h*y + z and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the third derivative of -19\/6*s**3 - 4*s + s**2 + 0 + 53\/60*s**5 - 1\/24*s**4. What is the derivative of u(y) wrt y?\nAnswer: 106*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 890580871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0 (b) -18 (c) 1 (d) -111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 10159539 to the power of 1\/3, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 - (2 + -7 + -4). Suppose -w*d = -423 + 38. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 - 1111?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -132 in -2\/271, 1\/4, -3, 2\/11, -4\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o + 2*o - 4*o)*(o**4 - o**3 + o**3) + 4*o**5 + 2*o**5 + 10*o**5 - 2*o**2 + 3 - o**5 + 3*o**5 - 5*o**5.\nAnswer: 14*o**5 - 2*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 31107 or 30910?\nAnswer: 31107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3744961797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 5) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be 8\/(-12)*(-9)\/12. What is the second biggest value in 1, -0.1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**2 + 5*z - 3. Let m be r(4). Let c be m\/(-2)*-4*3. Suppose 14*b - 32 = c*b. Solve 5*u - b*u - 3 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -5*n + 7 - 13, 0 = 4*n - 2*w - 6. Solve -4*v + v - 6 = n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 6:08 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2440, 2439, 2438, 2437, 2436, 2435?\nAnswer: 2434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -36*t**4 - 45436296*t**3 - 15145429*t**2 - 1262119*t = 0.\nAnswer: -1262119, -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-16)\/((-4)\/(-1)) - (0 + 159). Let p = -159 - l. Solve 0 = 5*a + 10, p*a - 2*a - 1 = 5*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 2 + -178d6?\nAnswer: -178d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -118.7 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 988080 (base 10) to base 16\nAnswer: f13b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 3*a**3 + 2 + a - 2*a - 4*a**3. Let q be k(0). Suppose -3*s - s = -12. Sort -3, q, s.\nAnswer: -3, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -15, -17, -7 in increasing order.\nAnswer: -17, -15, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3685*r**4 - 3*r**3 - 3565*r + 159867280 wrt r?\nAnswer: 14740*r**3 - 9*r**2 - 3565","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 300 divide 315367227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -16 - -16. Sort 1, a, -2.\nAnswer: -2, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 223207871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 29*g = 22*g + 7 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/16 of a minute in milliseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y - 58 - 11 = 2*t, -t = 5*y - 8 - 70 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + (0 - (-4 + -4 + -1 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**2 - r - 1. Let v(l) = 12*l**2 - 5*l - 9. Let u be (-1)\/(3\/(-6)*(-8)\/(-4)). Let n(q) = u*v(q) - 5*m(q). What is the first derivative of n(t) wrt t?\nAnswer: 14*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2340380 divided by 140\nAnswer: 16717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1.2 + -1.8. Let v = 0.3 + -1.3. Let f = v + g. What is the closest to 0.1 in 3, -0.4, f?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 291996613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -4004, -16185, -36500, -64955, -101556, -146309, -199220?\n\"Answer: -u**3 - 4061*u**2 + 9*u + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*n + 20 = 4*w + 17*n, -12 = -3*n. Solve w*s - 1681 = -1641 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -272*u + 24 = -266*u. Suppose -u*v + 2*l + 220 = v, l = -4*v + 176. Does 44 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-32)\/4 - ((-4)\/22 - 236\/(-220)*-25)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 4646759597 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -128 + 6?\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) be the third derivative of -h**4\/24 - h**3\/6 + 21*h**2. Let w(a) = 10*a + 5. Give -5*n(x) - w(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47331724 is divided by 23665859.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 76855 and 3515?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(2\/5))**(-13)\/(l**(-2)\/(l\/(l*l**(2\/7)\/l))))\/(l\/l**(1\/12)*l\/l**(-1\/3))**(11\/6) assuming l is positive.\nAnswer: l**(-1851\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 58598.6 nanograms in micrograms?\nAnswer: 58.5986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 58137 times -423?\nAnswer: -24591951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*d - 30 = -3*d. Let h be (-4 + (-4)\/d)\/(-2 - 0). Let i be h*(3\/6)\/(1\/6). Solve 0*y + 3*y - i = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 + 4992*g**2 + 29932*g + 74. Give q(-6).\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*r + 12, 4940 = g + 3*r - 5894. Let m = 9664 + g. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 125\/5616 or 0?\nAnswer: 125\/5616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.86 + -3.811. What is the closest to -1 in 0.2, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**3 - 40*p**2 + 71*p - 3519. What is y(41)?\nAnswer: 1073","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = -11*d**3 + 2*d**2 + 42*d - 3. Let j(o) = o**4 + 22*o**3 - 5*o**2 - 84*o + 7. Let z(r) = -3*j(r) - 7*l(r). Find the third derivative of z(q) wrt q.\nAnswer: -72*q + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:45 PM and 4:57 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(180) + 0)**2 + 3 + -2.\nAnswer: 901","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide (65260\/(-3))\/(-5) + (520\/39)\/(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2)*(9 + 0 - 1)*(-7 + 7*t + 7 + 0*t - 2*t + t + t + 3*t - 2*t + (0 + 0 + t)*(1 + 1 - 1)).\nAnswer: 144*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, d: 3, b: 3, e: 5, r: 1, f: 2}. Give prob of sequence db.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -0.16 times 0.62?\nAnswer: -0.0992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -8 + 6*b + 6 - 2. Let f be w(2). Let r(n) = n**3 - 7*n**2 - 6*n - 6. Calculate r(f).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -425, -848, -1273, -1700, -2129, -2560?\nAnswer: -2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -120*s + 2 + 102*s + 1. Let w be v(2). Let u = -33 - w. Let h(a) = -a**3 + a**2 + a + 10. Calculate h(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 3*t + 41. Let j(k) = 2*k + 171157. What is j(z(g))?\nAnswer: 6*g + 171239","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -15*m**3 - m**2 - 2*m - 1. What is k(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 25048561997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2*k**2 + 5*k - 1. Let n be c(5). Let p = 44 + n. Suppose 0 = -z + 4 - 2. Calculate the smallest common multiple of p and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 376571.\nAnswer: 13, 83, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 57 - 54. What is the second biggest value in 2, o, -4, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-2)\/(-3)*30)\/(-1). Let r = k - -11. Let m = r + 23. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 13062 and 420.\nAnswer: 130620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 196459*v**3 - 392903*v**3 + 196449*v**3.\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -61 + 4?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 1ed59 (base 16) to base 15.\nAnswer: 2764c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2328*u - 1 - 1752*u + 832*u.\nAnswer: -3248*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 15559502 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2856 - 2861. What is the third smallest value in 4, 3\/5, s, -18, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 0, 11, 4, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 99*j**2 - 3*j**3 + 0*j**3 + 482*j**2.\nAnswer: -3*j**3 + 581*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 11c (base 16) to base 6.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, -138, -1\/6, -0.6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4, 4\/5, -0.3, 2, -405?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 2*s**3 - 102*s**2 + 3*s - 179. Give d(51).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (5 - (-4 - -5 - -3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -f**3 - 2*f. Let w be k(0). Suppose -5*m = a - 10, 0 = -5*a + 3*m - 6 - w. Let o = -17 + 9. What is the smallest value in 2\/15, a, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3 * -0.136\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = 17 - 7. Let z be (-194)\/(-18) - x\/(-45). Solve z = 2*c + 3 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 309 = -n, -2*n + 1565 = 3*n - 5*b. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rhurmwwtwutru. Give prob of sequence rrwt.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.11 - 493\nAnswer: -493.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -192 - -196. Which is the closest to 19? (a) w (b) -2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13971523 is divided by 1397131.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -767 + 766.9657. Which is greater: m or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(156) - sqrt(156))*-2 - (sqrt(156) - (-6*2*sqrt(156) - sqrt(156))))\/(-5*1*sqrt(588)))**2.\nAnswer: 3328\/1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of 4*n**2 - 40. Let b(v) = -16*v**2 - 18*v + 19*v - v. What is l(b(a))?\nAnswer: -128*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*b - 1711 - 3014 = 0. Let x = 231 + b. Solve -o + x*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:09 PM and 10:10 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.0961 + 140199.\nAnswer: 140198.9039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -1188, -994, -666, -198, 416, 1182?\n\"Answer: b**3 + 61*b**2 + 4*b - 1254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = -5*x - 0*x - 5, 3 = -y + 2*x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -5*u - 8. Let v(h) = -h. Let p(i) = -l(i) - 2*v(i). Let b be p(-1). Let w = -625\/126 + 44\/9. Sort 0.4, -2, w, b.\nAnswer: -2, w, 0.4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 417.3 + -422.3. Let j = 0.12 + -0.2. Let q = j - -0.18. Which is the closest to q? (a) -0.05 (b) t (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 9 - 5. Suppose 0 = -i*j - 5*z + 820, 4*j = -2*z + 731 + 89. Suppose j = -0*c + c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-22)\/(-30)*(-510)\/(-3366)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -b*h**3*w**3 - 6*b*h**3 + b*h**2 + 4*b*w - 3*h**3 + 18*w**3 wrt w?\nAnswer: -3*b*h**3*w**2 + 4*b + 54*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 42049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 AM and 2:58 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = -2*z + 338, -3*d - 2*z + 450 = d. Is d a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 134 divide 394033432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2532911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w = 30 - 6. Suppose 3*d = 0, -3*g - 5*d = -5*g - w. Let l be 31\/52 + 9\/g. Which is the nearest to 2? (a) l (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -13\/42 and 79\/166710.\nAnswer: 1166970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 13 + -2088?\nAnswer: -2075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (111\/54 - 2)\/(300\/225).\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w**2 - 820 + 405 + 525*w**3 - w**2 + 409.\nAnswer: 525*w**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5*1*1\/(-1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2) - (sqrt(10) + sqrt(10) + -1*sqrt(10) + sqrt(10))\/sqrt(5) - -2*sqrt(242))**2 + 3.\nAnswer: 885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of f**3*h**2*z**2 - 2*f**3*h**2*z + 1550*f**3*z**2 - 94*f**3*z + 4*f*h**2 - 2*h wrt z.\nAnswer: 2*f**3*h**2 + 3100*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 91 = -2*u + 1143*i - 1146*i, 5*i + 143 = u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*4*((sqrt(325) + 1 + -1)*-5)**2.\nAnswer: -195000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:17 PM and 9:08 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -586, -585, -584, -583, -582, -581?\n\"Answer: r - 587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000042 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-d + 2*d - 3*d)*(-27*d**2 - 212*d + 212*d) as g*d**2 + i*d + w*d**3 + o and give w.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 858707 (b) 14 (c) 1\/5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 3*d + 118 = 4, -3*n + 3*d + 318 = 0. Calculate the remainder when n is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 7017529 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 102372 by -17062.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (1489*g - 875*g - 739*g)*(-4*g**2 + g**2 + 2*g**2).\nAnswer: 125*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -205 = -10*a + 55. Let c = a + -24. Solve 4*y = c*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -9 + 1 + -12 + 15. Is (3\/(-6))\/(3*h\/3810) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (14 - 16)\/(-1 + 0). Solve -3 = -2*a + 1, f*l + 5*a = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-4 + (((sqrt(684) - (-1 + sqrt(684)))*5 - sqrt(684)*-1*-6) + -3)**2).\nAnswer: -49248 + 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 190*u - 358*u + 186*u + 234 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be 384\/38 - 0 - 12\/114. Solve -9*n + c = 19 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 2 v, and 1 d when four letters picked without replacement from jvdpv.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - h = -2, 2 = -2*b + 2*h + 2*h. Let j = b + 5. Differentiate 4*c**2 + 0*c**j - c**2 + 2 wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.04 or -277?\nAnswer: -277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5, -5, 3, 278.\nAnswer: -5, 3, 4, 5, 278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 688 (base 9) in base 12?\nAnswer: 3b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.88 - -0.08. Let i = -1.1 - p. Let s = i - -0.3. Which is the closest to s? (a) 0 (b) 0.4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 4, x: 6, a: 1}. What is prob of picking 2 x?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by 16645379?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c = 10696 + -7486. Suppose c = 4*t - z, -5*t + 1857 = -3*z - 2159. List the prime factors of t.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4650\/558)\/((-95)\/(-57))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 2*q**2 - 17*q - 2. Let s(v) = -12 - 16*v + 9 - 2*v**2 + 4*v**2. Let r(t) = -6*d(t) + 7*s(t). Calculate the remainder when 28 is divided by r(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 113*q**2 - 17*q. Let l(a) = 113*a**2 - 16*a. Let h(z) = 4*l(z) - 5*y(z). What is the second derivative of h(m) wrt m?\nAnswer: -226","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 20 = -7*b. Suppose -3*n + b = -2*n. Suppose 2*l - n = -1. Calculate the lowest common multiple of 16 and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g, 1 r, and 1 h when four letters picked without replacement from rhghrhhhhghhhhhhrh.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 432017360 to the nearest integer?\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 41908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d be 978\/7 + 4\/14. Suppose 6*y - d = 2*y. Suppose -6 = -2*t + x, 0 = -3*t + 2*t + 4*x + 10. Solve -2*q + 10 = -0*q, -t*k = -5*q + y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the first derivative of -y**8\/336 + y**4\/4 + 2*y**3 - 2. Let n(l) be the third derivative of j(l). What is the first derivative of n(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 101111 (base 2) to base 12.\nAnswer: 3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 23 and 146602.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of i**4\/12 + 10*i**3\/3 + 4*i**2 + 814*i. Calculate h(-22).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.218191 millilitres to litres.\nAnswer: 0.000218191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, -82, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 z when two letters picked without replacement from {y: 1, g: 2, z: 2, u: 1}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0007374683 to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by -57120.\nAnswer: -1\/4760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 1 c, and 1 v when three letters picked without replacement from {f: 1, p: 4, v: 2, g: 1, c: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j + 3*j**2 - 5*j**2 + 3*j**2. Let p be (3\/(-4))\/((-1)\/(-8)). Let m(s) = s**3 + 6*s**2 + s + 4. Let n be m(p). What is f(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m = -m - 7*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the second derivative of 11*y**3\/2 - 299*y**2\/2 + 43*y + 2. Let a be x(7). Which is smaller: a or 1\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 262 (base 15) to base 13.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = -551 - -551. Is l != 5\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 188820920 to the power of 1\/2, to the nearest integer?\nAnswer: 13741","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round -172810458.07 to the nearest 1000.\nAnswer: -172810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1838 - -2378. Calculate the highest common factor of k and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) be the third derivative of -t**5\/15 - 3*t**4\/2 - 28*t**2. Factor x(l).\nAnswer: -4*l*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/((j\/(j**(-1\/4)*j))\/j))\/(j**(-1\/6)\/j)*j**(-1\/3)\/(j\/((j\/j**1)\/j)))\/((j\/(j*j**(-1)))\/j**(1\/6)*(j\/(j*j**(2\/7))*j)\/j**(-5\/2)) assuming j is positive.\nAnswer: j**(-97\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are 138297 and 138296 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 + -441?\nAnswer: -436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -12c (base 14) to base 13\nAnswer: -152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = t - 6*t. Suppose t = 5*s - 36 - 214. Is 6 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 10:02 AM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 15508*m + 15503*m + 32 = 0, 2*m = 5*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*n**2 - 207*n - 2608 wrt n.\nAnswer: 4*n - 207","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 - 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 3*p + 3. Let u be (4\/((-40)\/(-35)))\/((-66)\/44). Let r = 0.11 - -0.09. What is the nearest to r in u, -2\/7, p?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13033200 is divided by 1088.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10.6 - 10.305. Let g = v + -0.295123. Round g to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/(-1)*16\/16\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1 - -5. Suppose 32*p + 45 = 33*p. Suppose -2 = -p*l - 2. Solve -t + 2*t - h = l for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in fourty-two fifths of a millennium?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -1000010 (base 2) to base 4.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 123249083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2030220901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -21528084 + -1?\nAnswer: -21528085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30884*3.\nAnswer: -92652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = g**2 - 9*g - 7. Suppose 0 = -0*w + w - 6*w. Let h be (44\/(-33))\/(w - 4\/30). Calculate n(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*b + 8*t - 7*t + 10, -9 = b + 3*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 207100 and 88046.\nAnswer: 479850700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.327 - 0.327000414. Round s to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide (2\/((-28)\/13111))\/((-2)\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -1864 divided by -101\nAnswer: 1864\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2574909543)\/786352095*(-3)\/2. Let y = -218\/163313 - p. Let z = y + -20\/107. Find the common denominator of z and 65\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -2, 0.16, -1\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b*b**(-1\/3))\/b)**(-18)\/(b\/(((b*b**(-2\/5))\/b)\/b)*b\/(b**(3\/4)\/b)))\/((b\/(b**(-2\/3)*b)*b**6)\/(b**0)**(2\/107)) assuming b is positive.\nAnswer: b**(-259\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lzz when three letters picked without replacement from lllzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 241*n**2 - 241*n**2 + n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.5 + -0.56. Let n = t + 4.06. Let y = 5.1801 + -0.1801. What is the second biggest value in 1, y, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (9\/6)\/(4617\/(-756) - -6)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 27 + -26.5. What is the biggest value in -3, 0.1, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*v**2\/5 - 27606*v\/5 - 63507603\/5.\nAnswer: -3*(v + 4601)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5\/2, -0.4, 202?\nAnswer: 202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 482 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = k**3 + 5*k**2 + 2. Let v be q(-5). Let f(i) = 4*i**2 + 3 + 2*i - 3 - 1. Let n(y) = -y**3 + 21*y**2 + 11*y - 6. What is v*n(x) - 11*f(x)?\nAnswer: -2*x**3 - 2*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -57 - -133. List the prime factors of w.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.013216 to three decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 609 + -418. Let z = s - 67. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3)\/(-2)*(-86 - -94)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -2*f - 5. Let m(v) = -2*v - 6. Let n(y) = 6*m(y) - 7*o(y). What is n(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 - 8*u**2 + 23*u + 12. What is o(-10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 993, 995, 997, 999?\nAnswer: 1001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*b**2\/7 - 17130300*b\/7 - 34260624\/7.\nAnswer: 6*(b - 2855052)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1503.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -3787*z**3 - 63*z**2 + 28*z - 12. Let j(m) = -1894*m**3 - 32*m**2 + 12*m - 7. Let k(x) = -7*j(x) + 3*r(x). Find the third derivative of k(h) wrt h.\nAnswer: 11382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1939867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10299 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 20, 51, 40 in descending order.\nAnswer: 51, 40, 20, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -t**3 - 6*t**2 + 2*t + 5. Suppose 12 = 3*q - 5*q. Give v(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6835571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u = t - 9, 3*t + 64047 - 64066 = 7*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/(-175) + (-4296)\/1680)*4\/(-115).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) -0.3 (c) -2\/353 (d) -2\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(17) - (1 + sqrt(17))*-1) + 2 - (sqrt(1088) + 6*(sqrt(1088) + (-2*sqrt(1088))**2) - -3*(sqrt(1088) + -1)).\nAnswer: -26107 - 78*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1734017825.\nAnswer: 5, 661, 104933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.52 or -10922.9?\nAnswer: -10922.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h**3 - 3*h**2 - h. Let p be m(-1). Which is the biggest value? (a) p (b) 0.5 (c) 12 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:31 PM and 6:10 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 194469 is divided by 80?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 10 - -4. Let u = 14 - x. Solve u = -0*f - 3*f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -88*w + 106*w - 432 = 0. Calculate the remainder when 454 is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the second derivative of -u**5\/20 + u**4\/6 - u**3\/3 + 2*u**2 - 4*u. Calculate v(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 17.6627 + 0.3373. Which is the biggest value? (a) -2 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 227*o - 2. Let y(t) = -t. What is j(l) + 2*y(l)?\nAnswer: 225*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k + 14. Let q(g) = -g + 2. What is c(u) - 6*q(u)?\nAnswer: 7*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = 322 - 384.6. Let o = 70 + n. What is o rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the third derivative of 3*d**2 - 1\/60*d**5 + 0*d + 0*d**4 + 0*d**3 + 0. Let n(w) = 6*w**2. Give n(s(u)).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 3*l**3 + 7*l**2 - 41*l + 5. What is g(-5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 39.3 - 39. Which is the second smallest value? (a) 0.5 (b) h (c) 0.2 (d) -1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6477892 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1928298558 to the power of 1\/2, to the nearest integer?\nAnswer: 43912","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from kiiiiikiiiikiiikiii.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 406.25*-0.4\nAnswer: -162.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = 5*t - 2415, -4*t - 2*j + 1449 = -t. Let q = t - 448. Is 7 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-91)\/(3367\/(-592)))\/(-30)?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2\/5 - 148*j + 13690.\nAnswer: 2*(j - 185)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6837.2 - -2183. Round k to the nearest 10.\nAnswer: -4650","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 11\/4 of a kilometer?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 - 4*x**2 - 6*x + 5. Let h be v(5). Suppose b = -h*b + 4. Let c be b\/(30\/3*1). Is c greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8.91442316 to 3 decimal places.\nAnswer: 8.914","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -31.84662 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 19, -95, 1116, -4, 2 in ascending order.\nAnswer: -95, -4, 2, 5, 19, 1116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 1069767, 1069765, 1069763?\n\"Answer: -2*b + 1069769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*m + 4*m - 3*m + (2*m + 0*m + 0*m)*(2 - 2 - 2) + 5 - 5 + m + 4*m - 4*m - 2*m + 44 - m + 51 - 98.\nAnswer: -7*m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -234629*x**5 + 74221*x**2?\nAnswer: -14077740*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -k*n**2 - 5*k*n + 2801410*k + n**2 + 3162*n wrt n.\nAnswer: -2*k*n - 5*k + 2*n + 3162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -4*-16*(-3816)\/4608\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 2*k + 3*b, -5*k - 4*b + 27 = -5*b. Let f be -6*(4\/k)\/(-2). Let n(g) = f*g**2 + 5*g**2 + g - 6*g**2 + 9. Determine n(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 35 and 43782095?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -2*q**3 - 2*q**2 + 4*q + 3. Let x(m) = -m**2 - 9*m + 10. Let b be x(-9). Suppose 3*c + 3 = -3*j, 2*c = -2*j + 3*j + b. Is t(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 44769 (b) -3 (c) -0.2 (d) 0.4 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify z**(-7)\/(z\/(z**(7\/3)\/z))*(z**5\/z)\/(z*z**(-4\/5)) assuming z is positive.\nAnswer: z**(-43\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3346585 take away 43661771?\nAnswer: -40315186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) be the third derivative of 13*o**6\/60 - o**5\/15 - o**4\/6 - o**3\/3 + 2*o**2 + 37*o - 28. Give q(-1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 261*t + 334*t + 31301 - 17036 = -21435 for t.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000017566 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4120, -8240, -12360, -16480, -20600?\nAnswer: -24720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be 5 + -2 + 0\/(-4). Let l(a) = -f + 4 + a**2 - 2*a + 3*a**2 + 0*a. Give l(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 87 divided by -130975?\nAnswer: -87\/130975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((q\/q**(-6))\/q**(-3))\/((q*q**0)\/q*q**4*q))**(1\/22) assuming q is positive.\nAnswer: q**(5\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2 + (1 - 1)\/(-2). Suppose -4*g + 13 = -5*w - 44, -4*g + 2*w + 42 = 0. What are the prime factors of 94\/8 - i\/g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 229.9990513 - 230. Round p to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-6)\/4*(-4)\/3. Suppose -3*k + v*k = -21. What is the remainder when 62 is divided by k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17, 36, 127, 338, 717, 1312, 2171, 3342?\nAnswer: 4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u be 260\/160 - (-6)\/16. Let v(r) = -17704*r - r**2 + 3*r**u + 17691*r. Let n(g) = 3*g**2. Give n(v(p)).\nAnswer: 12*p**4 - 156*p**3 + 507*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.15 + -0.65. Let i = -0.3 + 1.3. Which is the second biggest value? (a) i (b) 0 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 123923156 to the nearest integer?\nAnswer: 11132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2495281?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*n + 932 = -314. Let k = n - -180. Solve 0*j + 6\/5*j**3 + 2\/5*j**k + 0 = 0 for j.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y - 4*y + 2*y)*(-1028 - 594*y + 1028).\nAnswer: -1188*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -2253*y - 296 = -2290*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -60 divided by -9\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -452 + -1790?\nAnswer: -1c12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 111, 58, -29, -150, -305, -494, -717?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 38*k = 6*k + 31552. Does 58 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-11 - -20)\/((-3)\/(-313))?\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -603570 divided by -5115?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*s - 5*s = -5*l - 60, 5*s = 5*l + 30. Let y = l + 5. Let k be ((-5)\/(-2))\/(y\/(-12)). Solve k = 3*m - g, -3*m + 0*m - 3 = -3*g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/154 and 9\/44.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -161 + 171. Calculate the highest common divisor of j and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5014383058 a multiple of 3806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out 503839 + 29.\nAnswer: 503868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-40)\/(-320))\/((6\/(-24))\/(6\/(-10))).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:23 AM and 10:01 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q = -32.620009512 + 32.62. Round q to 7 decimal places.\nAnswer: -0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 4*f + o = 3, 2*f - 6*o = -11*o - 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*i - 52*i + 176750 = 0. List the prime factors of i.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tt when two letters picked without replacement from ttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 163*t + 55*t**2 - 264 - 109*t**2 + 55*t**2 - 125*t.\nAnswer: (t - 6)*(t + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = 21*x - 16*x - 29, -u = -3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 155 a factor of 457275\/150 - 9\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 7 = -5. Suppose 2*y + 2 = 0, 0 = 3*p - 2*p + n*y - 7. Solve 7*q - p = 2*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1160 and 744577755?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 9 = -0*j. Factor c + 2 + 2*c**3 - 2*c**2 - j*c + 0.\nAnswer: 2*(c - 1)**2*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -1\/7 (b) -58 (c) 36.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(((-1)\/2)\/(3\/(-9)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1\/6, 251, 0, 4, -25, -2\/11, -4\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b be 24\/(-9)*-1*(-117)\/6. Let i = 3 - b. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 84*o - 3. Let j be h(0). Let z(k) = 23*k - 5. Let q(g) = -23*g + 6. Calculate j*q(c) - 4*z(c).\nAnswer: -23*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4588 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36*a + 406321 = 12*s - 31*a, 2*a - 33849 = -s. What are the prime factors of s?\nAnswer: 33863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2210 and 27075594?\nAnswer: 135377970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1570459172.\nAnswer: 2, 392614793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41 - 3195\/(-1278)*16\/10.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2*(-4 + 5 + -11). Suppose 2*d = s*d. Solve d = 2*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (15 - 20) + 44\/10. Let q = -39.1 + 32. Let k = q + 7. What is the smallest value in -0.3, k, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-38*259\/9842)\/((1*-2)\/(-182))\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4.662076cm in micrometers?\nAnswer: 46620.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 259*q**3 - q**2 + 1. Let l be 7 + 2 + -2 + 0. Let w = -6 + l. Is h(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-72)\/48)\/((-7)\/8*-6)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 396 - 261. Let f = -154 + q. Which is the biggest value? (a) -0.3 (b) 0 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4512 divided by -12?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:30 AM and 11:11 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) be the first derivative of -13*s**2\/2 + 821. Let w(t) = -52*t. Calculate u(w(z)).\nAnswer: 676*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 2 + 3 + (-3 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the first derivative of 1\/6*m**2 - 1\/6*m + 0*m**3 + 1 - 1\/12*m**4 + 1\/30*m**5. Suppose s(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*b = k - 19, 4*b + k + 0*k = -21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -30374.561 to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 - 2*w - 1. Let v be s(2). Let y be (v\/2*0)\/2. Suppose y = 5*q - 76 - 109. What is the remainder when q is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**3 - 10*y**2 - 12*y + 15. Let a be h(11). Suppose n = -f - 1, 4*f = -n + 4*n + 24. Put -3, n, a in descending order.\nAnswer: a, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -35 - -4135?\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -81\/43316 and 89\/17583644.\nAnswer: 861598556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y + 3. Let t(i) = 8*i - 5. Let s = -55 - -57. Let n be t(s). Suppose -n*h - 4 = -12*h. Give d(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*3*(sqrt(14)\/(sqrt(16)\/sqrt(8)) - sqrt(28)\/(sqrt(4) + sqrt(48)\/sqrt(12) + sqrt(4))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 13104 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = -294 - -359. Calculate the remainder when k is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.6 (b) 11407 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:23 PM and 6:48 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10870 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -8 in -1.72357, 3, 2\/5?\nAnswer: -1.72357","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 513 is divided by 239.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 0.8873869 grams?\nAnswer: 887386900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-1\/5)\/(y\/(y\/(y**(-6\/13)\/y))) assuming y is positive.\nAnswer: y**(82\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.3 - 1.29. What is the second smallest value in r, 3\/8, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3692087 to the nearest integer?\nAnswer: 1921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2948963\/154 + -19149. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -28 - -30. Suppose 5*p = v*k + 56, 3*p + 2*k - 21 = -k. List the prime factors of (12\/p)\/(5 - 549\/110).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29 = 4*c + 9. Suppose 0 = -p, 2*p = c*r + p - 1820. Let y be r\/35 - 3\/(-5). What is the highest common divisor of y and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-7)\/(-14))\/(-2 - (-303)\/150). What is the highest common divisor of x and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = a - 23, 11*q = -5*a + 8*q + 67. Solve -4*l + 17 = 3*n, -4*n - 2*l = -9*n + a for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7621, -17406, -27153, -36844, -46461, -55986?\nAnswer: -65401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in 6, 1, 9\/8, -0.6, -12, 408?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (2 - 10)\/((-2)\/4). Suppose -4 - j = -5*m. Solve 5*l + 23 = -m*q, 0*l - 3*q = -3*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -286, 14, 0.2?\nAnswer: -286","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 623 minutes after 6:12 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:30 PM and 6:57 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0902562 to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 24484 or 24482?\nAnswer: 24484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -n = -73 + 68 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*r - y = 20, -5*y - 301 + 293 = 2*r - 4*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 7 - 11. Let i = -0.92 + -0.08. What is the second biggest value in i, -0.3, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 262196024 + -5?\nAnswer: 262196019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134*v - 30*v - 38*v - 35*v - 28*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -17*l + 28. Suppose v + 10 = -1. What are the prime factors of y(v)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 16 = 0, -3*g - 2*d = 3384 - 9592. Is g\/16 + 2\/4 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 16 = 4*w, -5*r + r - 3 + 7 = 3*w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79324 is divided by 79151?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kmclltkklmr. Give prob of picking 1 l, 1 c, and 1 r.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2190?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:37 PM and 6:40 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -4*p + 5. Let z = p + 7. Let c = -8 + 13. What is the remainder when z is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18260089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 32622527?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand 168*c**4 + 129*c**4 - 151*c**4 + (-c**3 - 4*c**3 + 3*c**3)*(-2*c + 2*c - c).\nAnswer: 148*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 137572171 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = -3*v + 2*q, v - 2*q + 13 - 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1 + 0 - (-7 + 6)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2 - -10) + (-1 - 2). Suppose -17 + 1 = -n. Solve -w*t + n = -4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2290963 and 133?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3956 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = k + 3*j + 12, -3*k + 12 = j. Let q = 20 + -14. Solve 6 = -k*w - 3*t + t, 2*t = q for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*d**3 + 2*d - 13903 + 3862 - 3433.\nAnswer: -2*d**3 + 2*d - 13474","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 279 and 186?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1604 in 1.2, -2\/33, -1, 1, 0?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 1155, 4681 in descending order.\nAnswer: 4681, 1155, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 853, 3243, 6903, 11569, 16977, 22863, 28963?\n\"Answer: -44*p**3 + 899*p**2 + p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -1 + 5 + -2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 32964 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n*n**(2\/3)))\/n)**(-36) assuming n is positive.\nAnswer: n**60","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-152)\/(-16))\/((-2)\/(-4)). Put -5, 2, c in ascending order.\nAnswer: -5, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 86.9 - 78. What is f rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = h**2 - 5*h. Let c(q) = q**3 - 3*q**2 - 2*q - 1. Let k be c(4). What is the tens digit of o(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**2 + 7*g - 7. Calculate p(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 4 - 45 = -c, 5*m = 4*c + 90. Let a be 78\/(-187) - (-4)\/m. Suppose 5 = -4*z + 1. Which is greater: z or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 52097?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2240.5 - 2243. What is the smallest value in -1, g, -15, -1\/8, 1\/4?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*u = 4*a - 388, -29155*a + 4*u + 60 = -29152*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1.9 (b) 20 (c) 4\/843 (d) -0.2 (e) 3 (f) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mvomovoooooomooomv. Give prob of picking 3 o.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -82, -710, -2396, -5662, -11030?\n\"Answer: -87*g**3 - 7*g**2 + 2*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(sqrt(200) + 3*sqrt(200) + -5 + -4 + (1 + sqrt(200)*1 + sqrt(200))*-5))**2.\nAnswer: 60480*sqrt(2) + 266256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Do -11\/18108 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 4*g**3 + 2205*g**2 - 6091*g + 1849. What is c(-554)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18 - 12. Let w = b + -4. Suppose 0 = w*u - 84 + 6. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b + 6. Let a be l(-6). Suppose c + 3 = -0*c + 4*p, -p + 6 = -c. Let z = -3 - c. Solve 14 = -3*d - a*n - 5*n, 3*n = -z*d - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uuh when three letters picked without replacement from nhhlhhnnlhulnhuhln?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a + 12. Let n be i(-10). Suppose 3*v = 2*t - v - 1434, 2855 = 4*t + 5*v. Differentiate -11*w**3 - 2*w**3 - 44 - t*w**n + 715*w**2 wrt w.\nAnswer: -39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(sqrt(4320) + (sqrt(4320)*-2 - sqrt(4320))) - sqrt(4320) - sqrt(4320)*-2*6)\/(2*sqrt(6)*2 + -4*sqrt(726)).\nAnswer: -3*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 255 or 175243?\nAnswer: 175243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bbbtebtebbbbbebtbte. Give prob of picking 1 t and 1 e.\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 12) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 601551 to the nearest integer?\nAnswer: 776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jmnjn. What is prob of sequence njm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.19 - -0.12. Let w = z - 2.93. Let q = -2.6 + 0.6. Which is the third smallest value? (a) -1 (b) w (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**3 + 44*v**2 + 189*v - 233. Determine y(-39).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (1\/(-2))\/((-10)\/(-80)). Let o(s) = -9501*s - 4. Let a be o(k). What is a rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 6*m = 6. What is the least common multiple of (-32)\/(-12)*9*m and 14?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/71 in -4, -5, 0.5, 3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1225 + 1230. Let w be (2\/(-30))\/(2\/5). Let m = 4.9 + -5. What is the nearest to m in v, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 499\/5 - (-3 + 56\/20). Let m = -64 + d. Let f = -8 + m. List the prime factors of f.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 96 and -0.3.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 358*4\nAnswer: 1432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and -1199.207.\nAnswer: -3597.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -u**3 + 317*u**2 + 3745*u + 4. Give w(-12).\nAnswer: 2440","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -145*s - 159*s - 152*s - 74*s**2 + 456*s - 17*s**2.\nAnswer: -91*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1170 and 24102.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 48 - 96. Suppose 4 = 2*c - x. Let k(n) = -59 + 25 + c + 3*n. Determine k(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.003 + 1. Let r = 26.003 + y. Let f = 29.7 - r. Round f to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = 7*o + 130. Give m(-22).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-642*(-10)\/1260 + -5)\/((-1191)\/(-105) - 11)?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -p - 8 = 4*a, 0*p - 2*p - 5*a - 7 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -131*t + 386*t - 125*t - 135*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -45*y - 924 = -4*y + 3*y for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = 47*m**2 - 164*m - 1548. Does 6 divide s(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3566?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -3*t. Let r(v) = 3*v - 4*v + 5*v. What is b(r(o))?\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 504012072 divided by 2\nAnswer: 252006036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 158678 = 6*x + 41774. What is the hundreds digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10 - (406162\/(-10) + (-378)\/(-315))?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*k + 23 = -31. Let d be (-1*(-2)\/k)\/(61\/915). Let b(o) = o**2 + o - 2. Let g be b(-2). Sort -1, g, d in decreasing order.\nAnswer: g, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 2*u - 36 = 6*u, 0 = -n - 3*u + 8. Let t be 25 + ((-4)\/(-5))\/((-4)\/n). Solve t*z**2 - 70*z**2 + 2*z**3 + 98*z + 21*z**2 = 0 for z.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -122962 and -122960 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3330 - 119*w**2 - 3330.\nAnswer: -119*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -222111100 - 1102?\nAnswer: -222112202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -0.33 not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 4*w = 24, -o + 4*w + 13 + 2 = 0. Solve p - u = -7, o*p + 0*p + 19 = 2*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -288*u = -282*u - 72 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1840 + 1837 = -l. Solve -l*a = -5*c + 14, 6*c = c - 5*a + 30 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**2 - 2*n - 4. Let c(m) = -9*m**2 + 9*m - 4. Let x(q) be the first derivative of q**4\/4 + 3. Let g(u) = c(u) + x(u). Let r be g(8). Calculate k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0383 times 612051?\nAnswer: 23441.5533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -3*q + 5*h, -q + 25 = -3*q - 5*h. Let k(s) = 3*s**2 + 2*s - 6 - 2*s**2 + 0 - 3*s. What is k(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**(-1)\/(z**(3\/4)\/z)*z**(-1\/3)\/z**(2\/25))**39 assuming z is positive.\nAnswer: z**(-4537\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o = 5 + -9. Let k be ((-1)\/(-3))\/(o\/12). Let g be 50*(107 - (-1)\/k). Round g to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 537?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 - (-6 - 7) - 18) + -14 + 1 + 8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9212 and 86?\nAnswer: 396116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-3)\/(-1))\/((-45)\/10). Which is the second smallest value? (a) h (b) -3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2.582249 rounded to two decimal places?\nAnswer: -2.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 481.3835l to millilitres.\nAnswer: 481383.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -61 (base 15) to base 2\nAnswer: -1011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-29)\/c)\/(c*c**(-4\/5)*c)*(c**6\/c)**(-2\/7))**(-11) assuming c is positive.\nAnswer: c**(12562\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) be the first derivative of 9*t**2\/2 - 10*t - 782. Give k(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 57274086 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Solve -278*z - 272*z = -462*z + 1496 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 1428301128 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 39819545 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 18\/5? (a) 45 (b) 3 (c) -12\/5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.142 and 1.6804?\nAnswer: 1.9190168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -110 - -102. What is the hundreds digit of -5 + b + 7 + 298?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d**5 - 140*d**4 - 316*d**3 + 716*d**2 + 888*d = 0. Calculate d.\nAnswer: -3, -1, 0, 2, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1 - 2 - -4 - -2. Let r(w) = -w**3 - 4*w**2 - 2*w + 4. Let u be r(-3). Suppose l*z - 9 = u. Sort 5, z, 4.\nAnswer: z, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -11615.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((h\/h**(-1\/4))\/h)\/h)**(-45))**(2\/27) assuming h is positive.\nAnswer: h**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = y**3 + y**2 - y + 1. Let g = -64 + 67. Suppose x = -3*x - 12. Let o(u) = 2*u**3 + u**2 - u + 1. Give g*o(h) + x*j(h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4755, -38396, -129841, -308004, -601799, -1040140, -1651941?\nAnswer: -2466116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s - 784 + 251 = -3*l, 0 = -2*s - 2. Let x(d) = -10*d + 104. Let b be x(10). Suppose b*p + 32 = l. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (-25 + 13 - -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*s - 3*s. Let i = 2 + s. Factor 14*l + 22*l - 197*l**i + 193*l**2.\nAnswer: -4*l*(l - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be -4 - (-8 - (-4 - -1)). Let j be (-1*(75\/(-5) + 2))\/k. Let f(r) = -r + 2. Calculate f(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82485 = 61*v - 28*v - 38*v. Is 13 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -6842 by -311.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - 292\/(-300))*5.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) be the third derivative of 2*m**6\/15 - m**4\/24 + m**3\/6 - 22*m**2 - 2. Let g be (-2)\/8 + (-10)\/(-8). List the prime factors of f(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3435 + 3583?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = -87993.067 + 87951. Let y = -42 - f. What is y rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -27*i**3*n**3 - 229*i**3 - i**2*n**3 + 279*i**2 - 42*n**2 wrt i.\nAnswer: -162*n**3 - 1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4131 - 4129. Solve -w + 5*o = 7*o - 1, 0 = -i*w + 5*o - 7 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2787461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -q + 2 = 1, s = -q + 3 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/24 and -121\/60?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = 462 + -459. What is l in 2*l - 252*l**3 + 126*l**v - 50*l - 224*l**2 + 100*l**4 - 94*l**3 = 0?\nAnswer: -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 r when three letters picked without replacement from qqqqrmqqrqqqmqr.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*i = -4*i + 12 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify p*p*p**(-2)*p*p**(3\/8)*p*p assuming p is positive.\nAnswer: p**(27\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5913361.\nAnswer: 29, 203909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 572*p**3 - 28*p**2 + 26*p**2 + 45*p**3 + 234*p**3.\nAnswer: 851*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are 433954207 and 433954209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 21930197?\nAnswer: 383, 57259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 3410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*w + 44 = -8. Suppose 690 = -w*r + 3254. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 13, -1, 0.37?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*y = 3*r - 49, 3*y + 4 = -r + 19 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z - 2. Let o be y(8). Let w be (o + -8)\/(2\/(-4)). Suppose -2*v + 7 = m, 6 = w*v + 4*m + 2. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-98*m + 16*m - 11*m)*(0 + 0 - m) + 2 + m**2 - 2.\nAnswer: 94*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*i*p**4 + 82*i*p + 3*p**6 + 540*p**4 + 19*p**2 wrt p?\nAnswer: -72*i*p + 360*p**3 + 12960*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 50*m**2 + 2*m + 1. What is the units digit of y(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -189010*c**3 - 5*c*y + c - 2*y - 3562994 wrt c?\nAnswer: -567030*c**2 - 5*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = -y**3 + 7*y**2 - 6*y + 2. Let x be z(6). Suppose 0 = -2*a + 5*w + 62, 2*a - x*w - w = 58. Calculate the remainder when a is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = 3*r - 872. Suppose 3*i + 108 + 6 = z, 2*i + r = 4*z. What is the highest common factor of z and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(-1*1\/(-4)*2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 1152 by 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = 77*d. Let v(t) = -3*t. Give k(v(n)).\nAnswer: -231*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -634727510, -1269455018, -1904182526, -2538910034, -3173637542, -3808365050?\n\"Answer: -634727508*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2187)*1 + sqrt(27) - sqrt(27))\/(sqrt(36)\/sqrt(16)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7\/(-3) + 44\/(-12) + 4. Calculate the smallest common multiple of (-98)\/(-3) + q\/(-6) and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 3489828094 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k = -0*k - 63. Let s = 252\/17 - 9311\/510. Calculate the common denominator of k*(188\/72 + -3) and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -168*r - 22. Does 11 divide t(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 9.171, 2, -0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.09, 31, 0.4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hsm when three letters picked without replacement from hkkmkkkvktkskm.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1549831921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4 + 4)\/((-2)\/4*-2). Let r be k + (-2)\/3 + 1\/(-3). Does 14 divide (-141)\/r*24\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 5*r - 149 - 943 = 0, -273 = -y - 4*r. What is the least common multiple of 3 and y?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 1528 - -19?\nAnswer: 1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*i - 11*i + 4*j + 19 = 13*i, -12*j = i + 42 + 35 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 + 12334121212?\nAnswer: 12334121214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -12, 2, 0.3 in descending order.\nAnswer: 2, 0.3, 0.1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m = 79 - 132. Let z = 17 + m. Let t be (-34)\/9 - (-8)\/z. Put 0.3, -1, t in ascending order.\nAnswer: t, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 51494085086645*v**2 - 192550620*v + 180.\nAnswer: 5*(3209177*v - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 515043 and 1541?\nAnswer: 793681263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -n**3 - 6*n**2 + 2*n + 1. Let h be k(-6). Let s(o) be the third derivative of -o**5\/60 - 19*o**4\/24 - 5*o**3\/6 - 7*o**2. Is s(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 + 1 - 0*18\/(-288)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -193\/3 - -1897\/30. Calculate the common denominator of 237\/168 - ((-2)\/10)\/((-112)\/(-140)) and y.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 + 938785117\nAnswer: 938785111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -2 + 6*z + 466*z**3 - 190*z**3 - 138*z**3 - 141*z**3 + 17*z**2. Calculate j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 4, l: 2}. What is prob of picking 2 t and 1 l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1064740 or 0.3?\nAnswer: 1064740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5935027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzwzzzzwzzzwzzwzzzz. Give prob of picking 3 z.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 27 - 11. Let k = 3 + l. Let j = k - -3. Solve 3*u = -j*u + n - 9, -n = 3*u + 7 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) be the third derivative of -2*t**2 + 3\/20*t**5 - 1\/3*t**3 + 0 - 17\/120*t**6 + 0*t + 5\/12*t**4. Let a be f(-7). Round a to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8 - -27) + -24 - (-18 + 0)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) be the third derivative of 31*q**5\/60 - q**4\/12 - q**2. Let s(h) be the third derivative of -h**4\/12 - 443*h**2 - h - 13. What is s(c(y))?\nAnswer: -62*y**2 + 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -350*m - 409 + 7696 = -6713 for m.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -6*l - 73. Give z(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*q + 2*p = 22, -11*p - 32 = -15*p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 39262, 39253, 39244, 39235?\nAnswer: 39226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 32*c**3 + 4 + 13*c**3 + 35*c**4 + 2*c + 21*c**3 - 38*c**4 as r*c + u*c**4 + g*c**3 + p*c**2 + q and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -1313 (base 4) to base 11\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be -1 + 29\/9*1. Let i = 14 - 13. Is i > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -11 + 18c95c7?\nAnswer: 18c95b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 111*b - 8595 = -1608*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1771\/(-2254) - 96\/84*(-1)\/4 - -1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2350 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: ((-6)\/(-105)*-10)\/(462\/(-49))\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 424257455?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/1)\/((-13)\/(-13)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be (270\/12)\/9 - (-1)\/(-2). Suppose -2 = -q, -c - 2*c - o*q = -16. Suppose -c*a - 2*s = -1628, s - 41 = a - 454. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 31 = -38. Suppose 3*r = -q + 128. Let h be (-230)\/(-18) + ((-238)\/63)\/(-17). Solve -4*l - h = -i + 2, 0 = 3*i + 4*l + r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -19 + 18. Which is the nearest to -1\/3? (a) 0 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*x = 20, w - 42*x + 3 = -2*w + 38*x - 83*x for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1322, -1089, -708, -179, 498?\n\"Answer: 74*i**2 + 11*i - 1407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 517 is divided by 517?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -4*m + 125, m - 4*p = -2*m + 89. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2 - (-9)\/6)*8 - -1. Solve 0 = w*n - 27 - 60 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -51878553 by 3.\nAnswer: -17292851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 16384 and 128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -569*f**2 - 646*f - 1287. Give p(-2).\nAnswer: -2271","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = -38*j + 231. Let q be o(6). Solve -26*s + 7*s**2 - 4*s + 18*s**2 + 9*s**2 - s**2 - 3*s**q = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7\/17 + 185\/408. Let u(o) be the third derivative of -1\/840*o**7 - 2*o**2 + f*o**4 + 0 - 1\/40*o**5 + 1\/120*o**6 - 1\/24*o**3 + 0*o. Factor u(j).\nAnswer: -(j - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -22*v**2 + 280*v + 249. Let h(c) = -12*c**2 + 167*c + 124. Determine 5*h(r) - 3*i(r).\nAnswer: 6*r**2 - 5*r - 127","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 84561 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r = -89.4 + 89. Which is smaller: r or 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 296.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {g: 8, a: 1, v: 8}?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.4 + -2.6. Let t = -0.11 - -4.11. Let w = v + t. What is the third biggest value in w, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1483\/82 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lct when three letters picked without replacement from fttntncflaftflf.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8977 and 62839?\nAnswer: 62839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 21*h**3*m**4 + 30*h**3*m**2 - 83*h**3 - 2*h**2*m**2 + 2*h**2*m + 50259*h*m**4 + 2*m**2 wrt m.\nAnswer: 504*h**3*m + 1206216*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 48\/(-30)*(-5)\/2. Suppose 2*o = -0*o + 5*i + 27, d*o + 3*i = 15. Suppose 2*g - 68 = -2*g. What is the remainder when g is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = -o**2 + 13*o - 3. Let g(r) = 11*r + 1. Let y be g(1). Calculate the remainder when 17 is divided by a(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be -7 + 54\/(-4)*-2. Let b be (25 - j) + 1194\/(-239). Is 1 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 236.942km in meters?\nAnswer: 236942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -x + 2. Suppose -12 = 57*f - 51*f. Let n(d) = 4*d - 7. Calculate f*n(w) - 7*q(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1408 or -4.6?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 56 + -42. Suppose -5*z + w = -6. Suppose 4*k - 3*j - 9 = -35, -5*k - z*j - 17 = 0. Which is smaller: k or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q + h + 32 = 0, -4*q + 0*q - 4*h = 48. Let z = -9 - q. Let g be (5\/2)\/(z\/2). Solve -g + 2 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 263*i - 489*i**3 - 126*i + 490*i**3 - 137*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1218332?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1.138 + -760.862. Let y = q - -667.3. Let d = -102 - y. Round d to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -898, -3451, -7688, -13609?\n\"Answer: -842*i**2 - 27*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -10 - ((-9 - (-4 - (4 - -2))) + 7)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - -1) + (-14 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the third derivative of -8\/105*b**7 + 0*b**6 + 0*b**5 + 0*b + 1\/6*b**3 + 0 - 11*b**2 + 0*b**4. What is the derivative of i(s) wrt s?\nAnswer: -64*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000533881917 to 5 dps.\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21412354, 42824707, 64237060, 85649413, 107061766?\nAnswer: 128474119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 354532733 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = a**3 - 19*a**2 + 21*a - 52. Let s be o(18). Factor -23 + 2*m**3 + 49 + 3*m**3 - 9*m**s - 33 - 6*m**3 - 15*m.\nAnswer: -(m + 1)**2*(m + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -48 + 287. Let j = t + -150. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -170 + 117 + 53 - -106.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 60813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2489 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 8.1098 to one decimal place.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2033*q**4 - q**3 + q**2 - q + 402634 wrt q.\nAnswer: -8132*q**3 - 3*q**2 + 2*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 214*b - 1925. Let y be g(9). Which is smaller: -262 or y?\nAnswer: -262","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2343*h = -2032*h + 4587*h - 14840 for h.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -471*b**2 + 34 + 128 + 116 - 58 + 158 + b wrt b?\nAnswer: -942*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8.2 + -8. Put 1, 0.1, d in decreasing order.\nAnswer: 1, d, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 85832765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:12 AM and 2:33 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -673*d**2*h + 5*d**2 + 60 wrt h?\nAnswer: -673*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140 = 6*l - 10*l. Let n = 50 - l. Solve -2*t - n = 3*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/9 in -12.1, 0.1, 2, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.19 - 0.21. Suppose 86*n + 131 = -299. Which is the fourth biggest value? (a) 2\/11 (b) -2 (c) j (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-27)\/(3\/1)*-9. Suppose 0*p - 2*p - 8 = 0. Let k = p - -13. Calculate the greatest common divisor of k and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = o**3 + 10*o**2 + 9*o + 14. Let l be r(-9). Suppose 174 = -11*z + l*z. Calculate the remainder when z is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -411\/2 + 205. Which is the biggest value? (a) -2 (b) f (c) 2\/5 (d) 8\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 3*c + 10. Calculate the lowest common multiple of 4 and w(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -v**2 + 12*v + 808. Let m be w(35). Sort -4, 4, 53, m in descending order.\nAnswer: 53, 4, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.09405 to 3 dps.\nAnswer: -0.094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a centimeter in micrometers?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = -19.2 + 17. Let a = s - -4. Let j = a + 1.2. Is j < -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6\/(-12)*0\/1. Suppose 5*i + h*i - 10 = 0. Let n = i + -1. Are 0 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 7*v**3 + 9*v**2 + 23*v + 15. Let s(i) = -30*i**3 - 36*i**2 - 93*i - 61. Let x(h) = 26*j(h) + 6*s(h). Factor x(m).\nAnswer: 2*(m + 1)*(m + 2)*(m + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -90\/101 (b) -0.063 (c) 0.1 (d) 2 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) -3\/4 (b) 4 (c) -4 (d) 1\/4 (e) -1\/63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 19 = 4*t, 2*h - 3*t - 6 = -4*t. What is the remainder when (-35)\/(-14)*6\/15 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 19 (base 16) to base 2.\nAnswer: 11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 - 6*i + 5 + 0 - i + 0 + (0 - 4 + 2)*(i + 1 - 1) + 0*i - 2*i + i + 29 + (-2*i + 4*i - 3*i)*(1 + 0 + 1))*(i**3 - 5*i + 5*i).\nAnswer: -12*i**4 + 29*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the first derivative of -d**4\/40 - 2*d**3\/15 + d**2\/5 + 8*d\/5 - 91. Factor f(h).\nAnswer: -(h - 2)*(h + 2)*(h + 4)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = -z + 39 - 5, -3*z = -n - 107. What is the highest common divisor of 528 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 324 is divided by 101.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(500) - ((sqrt(500) + 2 - sqrt(500)) + sqrt(500))) + 2 + sqrt(720) - sqrt(20)\/(sqrt(324)*-3)*2)**2.\nAnswer: 3260*sqrt(5)\/27 + 549605\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12946523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 19 and -77.208802?\nAnswer: 96.208802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8558425.\nAnswer: 5, 342337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from effeefeeefffeefe. What is prob of picking 1 f and 1 e?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*j**5 - 20*j**3 + 57*j + 1 wrt j?\nAnswer: 240*j**3 - 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -8 (base 13) to base 16.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 190 and 1615.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) be the second derivative of 17*h + 0 - 1\/6*h**3 - 5\/2*h**2. Suppose -11 = -4*d + 1. Let q(g) = -g - 4. What is d*q(b) - 2*x(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1227234a + -4?\nAnswer: -12272353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 2*r = -7, p + 3 = 2*p - 4*r. Which is the biggest value? (a) 5 (b) 2\/11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**(4\/13))**(-25)*t\/t**(-12\/5)*t**11)**(3\/19) assuming t is positive.\nAnswer: t**(-3567\/1235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 89474, 97700, 105926?\n\"Answer: 8226*s + 81248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -g**2 - 586*g - 25849. What is k(-48)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tknophk. Give prob of sequence pt.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 1946827 - 1948499 = -38*n for n.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -61980.58 rounded to the nearest one hundred?\nAnswer: -62000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 137068896 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-46)\/6 - 4\/12. Let f be u\/(-36) - (-293208)\/54. What is f rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -82, -156, -202, -208, -162?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**2 + 14*m + 136. Let w be d(-9). Is -77 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -r**2 + 5*r - 1. Let l be n(4). Suppose 0 = 7*f - l*f - 156. Let u = -112653 + 112690. Which is smaller: u or f?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 11\/(-2) + (-1050)\/(-60)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*m - 7*m - m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 121 or 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-288)\/(-56) + -6)\/((-1)\/7). Solve 0 = -2*w - 4*q + v, -q - 1 = 3*w + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 + -14 + 0 + -2. What is the hundreds digit of (3\/(-12))\/(v\/91620)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2 and 446.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -134, -174, -210, -224, -198?\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14663 + 30751 - 16088 - 7*v**3 - 2*v**3.\nAnswer: -9*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(150)\/sqrt(10))\/sqrt(3) - (-1 + sqrt(605)) - ((((sqrt(80) - (sqrt(80) + -3)) + sqrt(80))**2 + sqrt(80) - sqrt(80)) + -4).\nAnswer: -84 - 34*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify d**5*(d\/d**(-1\/4))\/d assuming d is positive.\nAnswer: d**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.5 times -1021\nAnswer: -510.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -4.6944424 - -7616299\nAnswer: 7616294.3055576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 29218 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 - 28\/36) + (-4)\/18. Suppose 3*m + 4*m - 1162 = a. Calculate the common denominator of (m\/(-6))\/((-28)\/6 + 0) and -41\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.7 - 1. Let o = 3.222 + -2.822. What is the second smallest value in v, o, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -61\/47998 and 51\/73?\nAnswer: 3503854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 25308 is divided by 804?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/24 of a day in hours?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = 47*o**2 + 132*o + 1. Let s be d(-6). Solve 884*v = s*v - 68 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**2 - r + 49. What is the remainder when l(0) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 57792793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes before 2:36 PM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 129*m + 2232763 - 2221153 for m.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 9743079923 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1284, 2005, 2682, 3303, 3856, 4329, 4710, 4987?\nAnswer: 5148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 k and 1 n when four letters picked without replacement from nkknknnnnnnnnnnn.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*k**3\/11 - 12*k**2 + 2302*k\/11 - 5772\/11.\nAnswer: 2*(k - 37)*(k - 26)*(k - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = -124 + 128. Solve -5*c + b = -6*c - 3, 4*b = 4*c + p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -13 - (12 + (-7 - 18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*a - 15 + 13 = 30 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:01 PM and 3:00 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 77573916 to the nearest integer?\nAnswer: 8808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 - 4*x**2 - 3*x - 6. Let n(v) = -4*v**3 - 17*v**2 - 12*v - 25. Let r(a) = -2*n(a) + 9*y(a). Determine r(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 108 = q, 3*q - 352 = 6*j - 2*j. Suppose -177 = -5*s - q. What is the third biggest value in -0.4, 1, -0.7, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 70*y**3 - 247*y**3 + 8*y**4 + 119*y**3 + 14*y**2.\nAnswer: 2*y**2*(y - 7)*(4*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xx when two letters picked without replacement from {j: 18, x: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aavavvaavavaaa. What is prob of picking 3 a and 1 v?\nAnswer: 60\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.004357 rounded to 4 decimal places?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 1\/(-4 + 612\/152)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 95\/3752 and 1\/13304927?\nAnswer: 745075912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2165001 is divided by 721319?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 9606 - 5?\nAnswer: 9601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**3 + 7*r**2 + 2*r + 16. Let w be v(-7). Suppose -w*a = 7*a - 27. What is b in 4\/3*b**2 - 2\/3 + b**a - 5\/3*b = 0?\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 813 - -186. List the prime factors of v.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1984053?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -811*r**2 - 811*r**2 + 1622*r**2 - 40*r + 40*r + 28*r**3.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be (10\/4)\/((-5)\/(-150)). Suppose -g = 3*s + l - 19, 0 = -5*s - l - 92. Let p = s + 28. Is 10 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 3)*(270*g - 51*g + 713*g)*(-5*g + g - 3*g).\nAnswer: -6524*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -z**5\/3 + 3739*z**4\/3 - 7457*z**3 - 33633*z**2 + 134280*z + 403164 = 0 for z.\nAnswer: -3, 6, 3733","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:52 AM and 7:20 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -9*j - 1. Let l be u(-5). Let a = l + -39. Suppose 5*w - a*y + 419 = -1286, -2*y - 1733 = 5*w. Round w to the nearest ten.\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1532.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.04, 4, 1\/2, -2, 0.6 in descending order.\nAnswer: 4, 0.6, 1\/2, 0.04, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of -2 - 43\/120*x**6 + 0*x - 61\/8*x**4 + 0*x**5 + 40*x**2 + 0*x**3. What is the second derivative of s(j) wrt j?\nAnswer: -258*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -4*n**2 - 3*n + 3. Let u = 39 + -36. Let r(j) = 200*j - 197*j - u + 5*j**2 - 1. What is -4*c(x) - 3*r(x)?\nAnswer: x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1088)*-2*-4)**2 + 2*-2*sqrt(1088) + 3.\nAnswer: -32*sqrt(17) + 69635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 210137?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 28*t + 20*t + 17*t + 2*t**2 - 15*t - 126 + 11*t wrt t?\nAnswer: 4*t + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3358 and 438.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3480, 3488, 3510, 3552, 3620?\nAnswer: 3720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the first derivative of -5*r**3\/3 + 5*r - 22. Suppose k(v) = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the third derivative of -19*f**4\/6 + 137*f**3\/6 + 2*f**2 - 21*f. Find the first derivative of z(k) wrt k.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 (base 3) in base 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 20, 23, 16, -7, -52?\n\"Answer: -s**3 + s**2 + 7*s + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3015 (base 11) in base 13?\nAnswer: -1a95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the second derivative of -9*s - 1\/6*s**3 + 0 - 1\/2*s**2. Let k(f) = 12*f + 10. Give -2*k(a) - 22*y(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 216884257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -36453719\/6690 - 201\/1115. Let b = -5426 - v. Calculate the common denominator of -115\/6 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l**2 + 65*l**3 - 68*l**3 + 4*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 10 = 4*p. Suppose 2*u + 2*n + 4 = -p, 3*u + n + 17 = 0. Let i(j) = j + 10. Let m be i(u). Solve y + m*k + 15 = 0, -3*y + 0*k + k + 5 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - k)*(5 + 28 - 11).\nAnswer: -22*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (0 - -3)*4\/34. Suppose -18*v = -14*v - 12. Suppose 0 = 7*a - v*a + 2*a. Which is bigger: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.1 + 20.1. Let f = x + -18. Let z be ((-6)\/4)\/(6 - 3). Which is the nearest to 0.1? (a) -5 (b) f (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 - 1)*1*22. Let r = 12 - n. Let v = r + -18. What is the greatest common factor of 128 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 31223.971 - 31224. Let j be (-2 + 1)\/(2\/6). Put -0.3, n, j in increasing order.\nAnswer: j, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 124, 116, 98, 64, 8, -76?\n\"Answer: -n**3 + n**2 - 4*n + 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 440 and 925095?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -9*h - 18. Let b be f(-2). Suppose b = l, -3*s + 6*l + 48 = l. What is the smallest common multiple of 6 and s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-29*k + 25*k - 47*k)*(-4*k**3 + 3*k**3 + 0*k**3).\nAnswer: 51*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:40 PM and 8:15 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.791, -0.05, 2, 2\/5, 14?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0003792646682 rounded to 7 dps?\nAnswer: -0.0003793","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 152*m = -155*m + 23, 5*m - 49 = 3*h. Calculate the lowest common multiple of (-2)\/(-5) - 6099\/(-15) and h.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1a8 (base 14) in base 6?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -474192181195.6 - -474194535863.590111. Let m = x - 2354669. Let u = m + 1.01. What is u rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*k**2 + 4 + k**2 + 0*k**2 + (-5*k**2 + k**2 + 5*k**2)*(-5 + 7 + 6) + 2*k**2 + 0*k**2 + 0*k**2.\nAnswer: 8*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-7\/2)\/(c\/c**(-11)))\/(c**(-1\/9))**(-44) assuming c is positive.\nAnswer: c**(-367\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 3*f**2 - 62*f - 37. Let w be g(16). Round w to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2902*c + 54705 = 544*c + 23579 - 96376 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 47013 + -47006. What is the remainder when 196\/6 + (-6)\/9 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3378 + -7?\nAnswer: 3371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 30*13*7\/(-182)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = d**3 + 10*d**2 + 17*d + 15. Let y(n) = n**3 - 6*n**2 + 3*n + 10. Let r be y(3). Let x be p(r). Suppose -2*i + 1 + x = 0. Solve i*c - 7 = 9 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.2 - -9.8. Let s = -314 - -304.65. Let n = s + f. Round n to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 38+0.078185\nAnswer: 38.078185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i be (9 + (-8)\/(48\/54))\/2. Which is smaller: -15\/218 or i?\nAnswer: -15\/218","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.64111 kilometers in centimeters?\nAnswer: 64111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 - 768 = -70*q. Calculate the remainder when 26 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 527 from -1.\nAnswer: -528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4771 is divided by 432?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oho when three letters picked without replacement from {h: 6, o: 6}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:56 PM and 2:43 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a meter in micrometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2498112561?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + g = 15. Let h = -103\/15 + 20\/3. What is the smallest value in g, h, 5\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x\/x**(2\/7))\/(x*x**(-1\/2))*x**(2\/3)\/(x*x**(-1\/6)*x)*(x**(1\/11)*x*x**0*x)\/(x\/x**(1\/2))**(1\/23) assuming x is positive.\nAnswer: x**(11867\/10626)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -3*n + 8. Let b(u) = -8*u + 23. Let r = -47 - -30. Give r*t(l) + 6*b(l).\nAnswer: 3*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y be 100\/(-550) - (-3640)\/55. Let b = 1839 - 1014. Suppose -7*w + b = -2*w. Calculate the greatest common factor of y and w.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/((-99)\/(-2))*1.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1139 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -5582980*g**3 - 8048487 wrt g.\nAnswer: -16748940*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 44575256 and 75648.3?\nAnswer: 44499607.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -33072 divided by 64?\nAnswer: -2067\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = -6761*y + 1. Suppose 2*b = -3*g, 3*g + 3*b - 2 - 1 = 0. Is o(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 13, 3, -3, 1 in decreasing order.\nAnswer: 13, 3, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 280911062?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**2\/(n**(2\/15)*n))**(-9) assuming n is positive.\nAnswer: n**(-39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 7262 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: (-13)\/(20 + 6) + (-1)\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from uuulululluuuuluullu?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*p**3 + 24332*p**2 - 12444068*p wrt p.\nAnswer: -24*p + 48664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 3*b + 17. Let d(h) = h + 1. Let f(y) = -2*d(y) + m(y). Let w be f(-10). Suppose -2*o + 3*o + 293 = 4*p, -p = -w*o - 78. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 3, d: 3, j: 2, k: 1, n: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -g**3 - 2*g**2 + 2*g - 1. Let s be a(-3). Let w = s + -1. What are the prime factors of 30\/9 - w\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01391763 rounded to three decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 472 minutes after 7:35 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 + (-30)\/25*15\/(-6). Let g(x) = 196*x**3 - x + 7*x**2 + 0 - 195*x**y - 10. Give g(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 5*p**2 + 5*p. Let c(d) = d**3 + 4*d**2 + 4*d. Suppose -6*m = m - 35. Calculate m*c(h) - 4*r(h).\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let -1024*y**4 + 6976384*y**3 + 7849596*y**2 + 899444*y + 27256 = 0. What is y?\nAnswer: -1, -1\/16, 6814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2378)\/58)\/656*(-496)\/1.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -45*g**2*t**3 - 2*g**2*t**2 - g**2*t - 943*g*t**6 - 58871*t wrt t.\nAnswer: -270*g**2 - 113160*g*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -4 + -84c?\nAnswer: -851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -12394 by 2.\nAnswer: -6197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 807*p**3 - 809*p**3 - p**2 - p**2 to the form m*p**3 + y*p + x + h*p**2 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y = -315 + 2623. Calculate the least common multiple of y and 1154.\nAnswer: 2308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide ((-230)\/115)\/((-1)\/68)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 78 = 7*t + 19*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 15, 9, -17, -37, -2, -151, -1.\nAnswer: -151, -37, -17, -2, -1, 9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 12.471 take away -1.468?\nAnswer: 13.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3814253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*f + 10*f + 2*o - 46 = 0, 34 = f - 4*o. Let s be 13\/4 - f\/56. Solve 3*w = -0*w + 4*g + 29, s*g = 3*w - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 3*u - 3. Suppose -s - 2*s = -9. Determine l(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 933.358 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) -3 (b) 0 (c) -28\/85 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4681?\nAnswer: 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -54292032, -54292036, -54292042, -54292050, -54292060, -54292072?\nAnswer: -54292086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -40456 + -65?\nAnswer: -40554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -4.375 and -138.36.\nAnswer: 605.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -6468110 divided by -1?\nAnswer: 6468110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -195 + 256. Suppose -h*i = -48*i - 117. Let v(d) be the third derivative of -d**4\/12 + 3*d**3\/2 + 2*d**2. Calculate v(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1049 - -1049. Let i be (2 - 0)*(3 + -1). What is the smallest value in i, 2\/15, 2\/5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = w**2 - 4*w**2 + 5*w**2. Let p(q) = -q**2 + q. Let a(d) = -4*d**2 + 3*d. Suppose -9 = -t - 11. Let l(v) = t*a(v) + 6*p(v). What is l(j(g))?\nAnswer: 8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 1467*b**2. Let v(r) = 95*r**2. What is v(k(p))?\nAnswer: 204448455*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - (0 + 2 + -2). Let b = q - -4. Suppose 5*l + 4*z + 16 = 0, 0 = -b*l + 3*l + 5*z + 20. Solve l = 2*w + 1 + 3 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 6770 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.1758 and -4?\nAnswer: -0.7032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/4*(-600)\/(-36). Let j = x - 13. Let o = j + -19. Do o and -6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.41*-12\nAnswer: -4.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1529117.\nAnswer: 211, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -15*z**3 + 20035*z**2 - 976345*z - 327675 = 0.\nAnswer: -1\/3, 51, 1285","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h be 287\/14*24\/4. What is the highest common divisor of 9 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 1, b: 2, x: 1}. What is prob of sequence lbbl?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 7*l**3 + 2*l**2 - 8*l + 4. Is x(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -4*3\/(-6)*-2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170)\/sqrt(160)*-4 + 4)**2 - (-2*sqrt(102)\/(sqrt(24)\/(sqrt(4)*2) - sqrt(6)))**2.\nAnswer: -239 - 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*v + 4*a - 49 = -15*v, -4*v = a - 48. Let k(y) = 10*y + 3 - 17*y + 10 - v. Let f(t) = 9 + 2*t - 9. Calculate k(f(s)).\nAnswer: -14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 204 and 3893?\nAnswer: 46716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -0.02 (b) 2.9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -196b (base 12) in base 11?\nAnswer: -2375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 + -14.5. Let w be (7 - 18\/3)\/((-8)\/(-2)). What is the closest to w in 4, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*b = -6*b - 2002. Is (-7)\/(b\/4) - (-29953)\/91 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u**3 + u**2 - u + 11. What is o(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 9 - 14. Let g = -22 - -19. Let l = 512.7 - 513. Which is the third biggest value? (a) l (b) t (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*f**4 - 62*f**2 - 135 wrt f.\nAnswer: -8*f**3 - 124*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 38124192 and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 110 (base 4) in base 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8739892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 683, 2572, 5525, 9542, 14623?\n\"Answer: 532*m**2 + 293*m - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 11 = -4. Let a(w) = -5*w - 30. Let f be a(-5). Suppose 4*q = 4 + 12. Sort d, f, q in decreasing order.\nAnswer: d, q, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.2947 + 5.3947. Suppose 0 = 5*r - 3*o - 11, -5*r - o - 1 = -4. What is the closest to 2 in r, -0.4, w, -0.5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1294\/92 + 592\/148*84\/(-24)?\nAnswer: 3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -543 + -33542?\nAnswer: -34415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1275*h**2*o**3*u**2 + 23*h**2*o**2*u**3 - 2*h*o**2*u**3 - 2*o**3*u**3 - o**2*u**3 wrt o?\nAnswer: -7650*h**2*u**2 - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o**3\/7 - 54*o**2\/7 - 117*o\/7 + 1140\/7 = 0.\nAnswer: -5, 4, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2.59 - 2.589502. What is n rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -2*b. Let m(g) = -25509*g**2 + g. Give m(x(f)).\nAnswer: -102036*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 197569?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Do 54081 and 54104 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4978 divided by -1.\nAnswer: -4978","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 99 - 63. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d - 27. Determine w(9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 2*v**2 + 7*v - 1. Let u be (1 - 2)\/(3\/18). What is the tens digit of p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 + 214*w**2 + w**3 + 11.\nAnswer: w**3 + 214*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add together 6 and 82021103397042.\nAnswer: 82021103397048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 89106.0039587 + -89106. What is h rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8652716 years in decades?\nAnswer: 0.08652716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 5115 and 165.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -116 + -4.6.\nAnswer: -120.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-60)\/35*(287\/14 - -4). Let k(s) = 6*s + 256. Calculate the remainder when (-29)\/(-4) + (-1)\/4 is divided by k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 313 is divided by 77.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4? (a) -0.2 (b) 1\/11 (c) -2\/17 (d) -158\/7 (e) -4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 435096 is divided by 1762?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*l + 2*q - 8, -2*q = -l - 0*q. Let h be (-30)\/l + (-3)\/(-12). What is the first derivative of -3*j**2 + 3*j**2 + 11*j**4 - 12*j**4 + h wrt j?\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -2.41 and -19.7718.\nAnswer: -22.1818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/14*(-2)\/54.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 - -17. Let r = -10 + s. Suppose 1 - 3 = -2*w - 2*k, 3*w + 2*k - r = 0. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 30111.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 5295 by 5.\nAnswer: 1059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(114)*1 - ((sqrt(114) + sqrt(114)*1 + sqrt(114))*-4 - sqrt(114)))\/(sqrt(54) - sqrt(1944)*1)*3.\nAnswer: -8*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o*o**(1\/4)))\/(o**(-2\/5)*o))\/(o**(2\/7))**15*(o**0)**(-14\/13)\/(o**(3\/4)*o**(-1)\/o) assuming o is positive.\nAnswer: o**(-136\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7853?\nAnswer: 7853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 106095 divided by 9645\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 17*l**2 - 13*l + 23. Suppose -5*w + 13 = -52. Let h(i) = 8*i**2 - 6*i + 11. Determine w*h(b) - 6*g(b).\nAnswer: 2*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/6*20\/15)\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -0.3, 143, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 3359, 13413, 30163, 53603, 83727, 120529, 164003?\n\"Answer: -f**3 + 3354*f**2 - f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -49*c + 1. Let y be l(3). Let z(h) = 3*h**2 + 3*h - 27. Let u be z(-13). Let a = u + y. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 21 - -180. Let j = m + -74. What are the prime factors of j?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1\/7)\/((-4)\/8). Is -0.1 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -2*p**2 + 5*p - 7. Let f(r) = -r**2 + 4*r - 5. Let u(b) = -3*f(b) + 2*h(b). What is u(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -111021211 (base 3) to base 12\nAnswer: -5734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/2 - (-6)\/5. Let l = 21 - 16. Sort l, t, 0.1 in increasing order.\nAnswer: 0.1, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13323 and 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 12 - -10345146?\nAnswer: 10345158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 7*i + 3 - 16*i - 23*i + 0. Let d be 11\/55*5\/2*-4. Is o(d) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i - 3 = -8. What is the third derivative of 1 - i - 156*t**3 - 43*t**2 + 185*t**3 wrt t?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*h*n**4 + 4*h*n**3 - h*n**2 + 5660*h*n + h + 23195*n**3 + 26*n**2 wrt n.\nAnswer: 120*h*n + 24*h + 139170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 304713 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = -0 + 3. Suppose 13 = -l - q*c, -l - c - 1 = l. Suppose 0 = l*x + 2*x - 16. Sort -0.5, x, 3 in ascending order.\nAnswer: -0.5, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4 - 0. Let a be (-3)\/(-2)*k\/3. What is the third derivative of 6*q**a - 4*q**2 - q**2 + q**4 + 3*q**4 wrt q?\nAnswer: 96*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -5*m**2 + 33*m + 26. Let g(t) = 16*t**2 - 102*t - 79. Let n(i) = -13*f(i) - 4*g(i). Solve n(b) = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1132 + 27175\/24. Let p(d) be the third derivative of d**2 + 0*d + 0 + 0*d**3 - w*d**4. Let h(v) = 2*v. Determine p(h(k)).\nAnswer: -14*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2799881?\nAnswer: 7, 399983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*n - 6 = 3*o, -6 = 2*o + 181*n - 182*n for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**(-3\/2))**(-1\/6)\/(b**(2\/3))**(-12\/19) assuming b is positive.\nAnswer: b**(1\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000687158 rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-338)\/(-39) - 9)\/((-1)\/(-67992)*-2).\nAnswer: 2, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 105000 divided by 300\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3076.5 + 3076. What is the closest to 43\/20 in 0.1, g, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-10)\/3)\/(1\/(-3)). Let a be (-2)\/q*(-5)\/(-4). Is -1 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -341*g. Let j(k) = 9*k. Let b(o) = 22*o. Let x(p) = 2*b(p) - 5*j(p). What is x(c(d))?\nAnswer: 341*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2108980*v**3 + 378*v**2 - 2654*v.\nAnswer: -12653880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 15 = 5*c. Let r(a) = 2*a**3 - 17*a**2 + 11*a + 14. Let g be r(8). Suppose 0 = 18*x - g*x + 100. Solve 6 = 3*n, x*w + c*n + 0 = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(3\/5)\/m**(-3\/5))**47*(m**(-4)\/((m*(m*m\/m**(-1\/6))\/m)\/m*m))\/((m**5*m)\/m*m*m*m\/m**(2\/5)) assuming m is positive.\nAnswer: m**(1279\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 5 - (-2 + 8 + -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3550235645.99999998 + -3550235592. Let u = -54 + w. Round u to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -5240*f - 483. Is l(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 2\/9, -511, 0.4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 567668374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((5 + -3 + sqrt(204)\/sqrt(300))**2 + ((sqrt(34)*-1)\/sqrt(2) + -1*sqrt(153))*5).\nAnswer: -96*sqrt(17) + 117\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose j + 46 = 49. Suppose 4 = -4*h, 5*z - 2*h - 69 = 2*h. What is the lowest common multiple of z and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2580*c = -829*c - 875*c - 836*c + 2160 for c.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that o**3\/9 - 119*o**2\/3 + 4175*o\/9 - 4025\/3 = 0.\nAnswer: 5, 7, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5775, 11549, 17323, 23097?\nAnswer: 28871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13515390 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 4 - 1 - 4 - 2. Let f(k) = -k + 2*k + 3 + 1 + 0*k. Let l(u) = 5*d(u) + 4*f(u). Let j(c) = 9*c + 3. Determine 2*j(a) - 5*l(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 8 and 2119672.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + h + 3 + (-2 + 0 + 0)*(2 - 2 - h) + 70*h - 718*h + 77*h.\nAnswer: -568*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-75)\/63 - (24 - 11)\/91.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3) - (sqrt(48) - sqrt(3)))*-5 - sqrt(24)\/(sqrt(24)\/sqrt(3))) + (sqrt(27)\/(sqrt(9) + sqrt(36)\/sqrt(4)) - (sqrt(3) + -1 + 1)).\nAnswer: 17*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -14 + 9. Let t(h) = -h**3 - 2*h**2 + h - 9. Let p(k) = 2 - 6 + 0 - k + k**2 + 3. Let j(r) = -2*p(r) + t(r). Calculate j(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l + l - j = -6806, -l - 2*j = -1354. Suppose -111*p = -108*p - l. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -219*x**3 + 255573*x**2 - 10. Calculate m(1167).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 4*x - 16 = 0. Factor 14*b**x + b**5 + 8*b**4 + 2*b**2 - 24*b**4 - b.\nAnswer: b*(b - 1)**3*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k + 9. Let l be w(-7). Suppose 22 = -l*x + 28. Suppose -4*h + 131 = -x*h. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k = k + g + 4, 2*g - 24 = -4*k. Let d(m) be the third derivative of 1\/180*m**5 + 0*m + 0 + 2\/9*m**3 - m**2 + 1\/18*m**k. Let d(p) = 0. Calculate p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (10\/240)\/(3\/9). Let f(l) be the third derivative of 2\/3*l**3 - 1\/20*l**5 - 3*l**2 + 0*l - a*l**4 + 0 + 1\/120*l**6. What is f(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*u = 58*u - 441. Suppose -10*f + 899 = -u. Calculate the remainder when f is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = 2*x + 13. Let b be t(-9). Put 2, 1, b in ascending order.\nAnswer: b, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.21913 rounded to 2 decimal places?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1169 (b) 1\/6 (c) 13791\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -145*b - 6. Suppose 0 = -14*k - 12 - 30. Let c be w(k). Calculate the greatest common factor of c and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3046644 (base 7) in base 11?\nAnswer: 22a1aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6506915, 6506928, 6506941, 6506954?\nAnswer: 6506967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -208, -217, -238, -277, -340, -433, -562, -733?\n\"Answer: -a**3 - 2*a - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 12700 in 1\/9, -1\/2, 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 76437 times 10.68\nAnswer: 816347.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1370*b + 0*b**2 + 2*b**2 - 4*b**2 - 1208*b.\nAnswer: -2*b**2 + 162*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-10 - 9) + -1*2. Is (c\/(-14))\/((-1)\/(-156)) + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2484568200 rounded to the nearest 1000000?\nAnswer: 2485000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 328 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x**3\/7 + 15*x**2\/7 + 66*x\/7 + 48\/7 = 0. What is x?\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 97*y - 88 = 106 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 115*v**2 + 149*v**2 + 161*v**2 to the form o*v + t*v**2 + n and give t.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -343*y**6 - 5*y**5 - 3694*y**2 wrt y.\nAnswer: -41160*y**3 - 300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.001 + -2.101. Let g = w + 1.2. Let k = -0.7 - g. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 17538\/259 + 4\/14. Suppose -r*p + 294 = -61*p. Calculate the smallest common multiple of 77 and p.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/367 > -456?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2\/137 + 951\/548. What is the nearest to -0.1 in 4, d, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**3 - 8*x**2 + 17*x - 23. Let r be i(-10). Let l(f) = 2*f + 2. Let g(h) = -h**2 - 7*h - 7. What is r*l(u) + 2*g(u)?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -19167 - 34432 = 1014*s - 412*s + 18039 for s.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ejjjjjejeejnnee. Give prob of picking 2 e.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lrlllttreeletlp. Give prob of sequence lltl.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Work out -1484514 - 0.0172.\nAnswer: -1484514.0172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 36760899 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o and 1 z when two letters picked without replacement from {z: 10, f: 4, o: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 381 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = -15*h**2 + 20*h + 50. Let s be w(-6). Let v = s - -1260. List the prime factors of v.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -5*k**4\/4 - 235*k**3\/3 - 2875*k**2\/2 - 2645*k - 115. Factor q(s).\nAnswer: -5*(s + 1)*(s + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (sqrt(52)\/(sqrt(4) + -3*sqrt(20)\/sqrt(5)))**2 + (-4*sqrt(1053)*-1 + sqrt(1053))**2 + sqrt(1053) + -4.\nAnswer: 9*sqrt(13) + 105281\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -19*n - 12. Calculate r(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the second derivative of r**3\/3 + 2*r - 31. Let w(i) = i - 1. Let v(l) = 67*l**2 + 3*l - 3. Let u(o) = v(o) - 3*w(o). Give u(q(g)).\nAnswer: 268*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -42422*w + 42418*w - 4 = -5*b, -5*b = w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -10.5 - -0.8. Let i = j - -2.7. Let o = -7.000011 - i. What is o rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 84769.28 hours in milliseconds?\nAnswer: 305169408000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -316, -633, -948, -1255, -1548, -1821?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 674 - 2*o**2 + 675 + 5*o + 669 - 2023. Let z(y) = -3*y**2 + 5*y - 6. Give -6*r(n) + 5*z(n).\nAnswer: -3*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7216 + 13539. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1 greater than or equal to 2\/461629803?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -5*j + 3*j. Suppose -j*o = 3*r - 153, -o + 0*r + 2*r = -63. Calculate the greatest common factor of 11 and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 283 is divided by 73?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -5*j**2 + 22*j - 12. Let g(c) = -c. What is g(x(t))?\nAnswer: 5*t**2 - 22*t + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000047674 rounded to 6 decimal places?\nAnswer: 0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1387*h*y - 20732713*h + 2214*y wrt y?\nAnswer: 1387*h + 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 = -12*z - 35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l**2 + 14184*l - 7089*l - 5*l**2 + l**2 - 7095*l.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of -309 and 143317.\nAnswer: -44284953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -30 - -36. Let y = n - -10. Calculate the least common multiple of 16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = 2*f**2 - 3. Let l be k(-3). Let b(o) = -o**3 + 15*o**2 + 6*o - 20. List the prime factors of b(l).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 741 and 4?\nAnswer: 2964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fcffcooffofo. What is prob of picking 2 o and 2 c?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is df - 2e?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -k - 4. Determine t(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 407897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 15173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 119, 465, 1041, 1847, 2883, 4149, 5645?\n\"Answer: 115*d**2 + d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-5)*(9 + 50\/(-6))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 944 and 72112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 217, 401, 563, 691, 773, 797?\n\"Answer: -2*d**3 + d**2 + 195*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2 (b) -33 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(85)\/(sqrt(60)\/(2*sqrt(12)))*4*-1)**2*4*-1.\nAnswer: -4388 - 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Express -k - 4*k - 6*k + 3*k + 2*k - 2*k - 2*k + 0*k + 0*k + (2 - 3 + 2)*(2*k + 2*k - 3*k) in the form y*k + i and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 + -6d14?\nAnswer: -6d15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**2 + 1723322*z + 31020444.\nAnswer: -2*(z - 861679)*(z + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 964.29 less than -0.06?\nAnswer: -964.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 214779 + -214761.00011. Let q = 4 - 22. Let k = q + m. Round k to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 7614, 30550, 68786, 122316, 191134?\n\"Answer: -t**3 + 7656*t**2 - 25*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2753249029 to the nearest integer?\nAnswer: 52471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k + 2 = -2*i + 6*i, -5*k = -5. Let z(t) = -t + 2. List the prime factors of z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 13 = -2*b, 4*b - 37 + 2 = -5*a. Suppose b*w - 28 = w - 4*c, w = -3*c - 1. What is the least common multiple of w and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i - 4*i + 40 = 0. Suppose j + 5*u = -4*j + 155, j - 2*u - i = 0. Suppose 3*x = 2*m + j, -25 + 3 = -3*x + 5*m. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 533 is divided by 136?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j = -5*b - 5, -3*j - 2 + 17 = 0. Let m = -176 + 201. Suppose -p - v = -19, v = -m*p + 28*p - 69. What is the lowest common multiple of p and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**3 + 3*o**2 + 3*o - 4. Let l = 7 + 12. Suppose 2*q - l = -5*n, 4 - 7 = n - 3*q. What is the units digit of k(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v + 1374*v = 37017. Suppose -c + k = -0*k + 7, 3*c + 4*k = 0. Let f be (1 - 5\/c)*4. What is the highest common factor of f and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -162.7 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (117 - 35 - 2)*(13 + 2*g**4 - 13).\nAnswer: 160*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 88*b**2. Let k(g) be the first derivative of -g**5\/30 - 97*g**2\/2 - 2*g - 115. Let l(c) be the second derivative of k(c). Give z(l(d)).\nAnswer: 352*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 642.\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(-2\/7))**(4\/7)*t**3*((t*t*t\/t**7*t*t*t)\/t)\/t)**(49\/3))**(1\/3) assuming t is positive.\nAnswer: t**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k + 3*q = 5*k + 108, 152 = 4*k - 4*q. What is the highest common divisor of k and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1092983?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be 80\/(-45) + (-8)\/36. Let r = -0.7 + 0.4. What is the biggest value in 0.3, k, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in four fifteenths of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 + 2 + 2 + 15 - 5 - 9*c.\nAnswer: -9*c + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 932 a factor of 8719040?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -4*v - 2. Let j be x(2). Let u be j\/(-15)*(2 + 1). Let i = 8 + -7.7. Which is the nearest to u? (a) -5 (b) 2\/13 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 169295\/18 + -9408. Let j = -30\/23 - 1341\/506. Find the common denominator of h and j.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (144\/180)\/(2\/(-10)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -15.316 - -21.316. Which is the nearest to 1\/2? (a) -0.4 (b) g (c) -12 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 110, 506, 1462, 3254, 6158, 10450, 16406?\nAnswer: 24302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/(-10)*(-5)\/1. Let s = -359522 - -359498. Sort s, w, 1.\nAnswer: s, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 166*n + 161*n = 36 - 10, 0 = 5*n for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 3 g when four letters picked without replacement from evgeveeeeeeegeg?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5887 is divided by 107.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -2*a**5 + 540642*a**4 + 7028686*a**3 - 540642*a**2 - 7028684*a = 0.\nAnswer: -13, -1, 0, 1, 270334","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -707*s - 98. What are the prime factors of n(-1)?\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -1, 0.13, 2, 12?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.157 and 0.78096.\nAnswer: 0.62396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-27)\/18 + 9\/6. Suppose -2*x - 3*r + 160 = f, 4*x - 2*r - 4 - 300 = 0. What is the remainder when x is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10 - 21320033104?\nAnswer: -21320033114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -723, -809, -929, -1089, -1295, -1553?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = o**3 - 58*o**2 + 5*o - 285. Let z be d(58). Solve -5*h = -3*g - 3, -5*g = -z*h - 2 + 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the first derivative of -q**7\/840 - q**4\/24 + 4*q**3\/3 - 3. Let u(i) be the third derivative of r(i). Find the first derivative of u(g) wrt g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 165323853?\nAnswer: 3, 79, 232523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -106*u**3 - 4*u + 6*u + 111*u**3.\nAnswer: 5*u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -10*n**2 - 11*n**2 + 54 - 4*n - 209 - 33 wrt n.\nAnswer: -42*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes before 6:54 AM?\nAnswer: 12:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**7*c)\/(c*c*c\/(c\/c**(-2\/11))))**(39\/7) assuming c is positive.\nAnswer: c**(2652\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 8*m + 3. Let b(x) = 23*x + 10. Calculate 2*b(v) - 7*u(v).\nAnswer: -10*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 - -11.7. Let o = t + 1.2. Sort -10, -1, o in ascending order.\nAnswer: -10, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1072704170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 14 and 140.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*85.\nAnswer: -425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(198)\/((-2*sqrt(99) + sqrt(99))\/sqrt(9)) + 5)**2.\nAnswer: -30*sqrt(2) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 1433 (base 5) to base 8.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2019945 is divided by 446.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in k - 88*k**3 - 11*k - 26*k**3.\nAnswer: -114*k**3 - 10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 832 and 104.\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/4? (a) 14 (b) -3 (c) -2\/2303\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*j - 17*j - 44*j.\nAnswer: -82*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b - 4. Let l(z) = z - 4*z + 4*z + 0 + 1. Let r(y) = 2*l(y) + s(y). What is the first derivative of r(k) wrt k?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:09 PM and 4:15 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -2*b**2 - 10*b + 48. Let i be j(-7). Suppose 24*d - 60 = i*d. Calculate the highest common divisor of 30 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 50*n - 550 = -113 + 549 - 136, -16*n = -t - 14*n - 34 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 9, 21, 47, 93, 165, 269, 411?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(280)*3 + sqrt(280)*-2*3)*1)\/(((sqrt(480) - (sqrt(480) - (sqrt(480) - sqrt(480)*-2)))\/sqrt(12))\/((sqrt(60)\/sqrt(3))\/sqrt(5))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/(-30)*(-3305)\/(-10576)?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16\/5)\/((-12424)\/(-77650)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.096 + -0.196. Let w be 292\/56 + 2\/7. Which is the closest to f? (a) w (b) 0.4 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -21.1 - -21.1. Sort y, -1, -1\/15 in descending order.\nAnswer: y, -1\/15, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n**2 - n**2 - n**2)*(0*n**2 - n**2 + 3*n**2) - 2*n**4 - n**4 + 0*n**4 + 5*n**4 - 2*n - 7*n + 7*n.\nAnswer: -2*n**4 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43444 = 3*z - 5*g, 2*z - 28928 = 195*g - 196*g. Is 14469 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 24 - 24.2. Is 3 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 1\/16213?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by 64088647\nAnswer: -2\/64088647","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 81308030 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 613901.8um in millimeters?\nAnswer: 613.9018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -81 + -5?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 18323 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -51758174 smaller than -51758174?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 118 - -92. Let u = z + -162. Calculate the highest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:47 AM and 11:52 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 522, 825, 1640, 3219, 5814, 9677?\n\"Answer: 42*o**3 + 4*o**2 - 3*o + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1143*t + 2933*t + 80070 = -3548*t for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -1 + 0 + 8 + 2 + j**2 - 7*j + 5. Give a(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, -0.1, 0.03, 216, 7\/8, -3, -1.9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(2*(sqrt(117) - sqrt(117)*1) - sqrt(117))\/sqrt(9).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 82 minutes after 7:45 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2 + 12\/(-4) + 91. Let y be 4\/(-5)*(-25)\/l. Let z = 83 + -83.2. Which is the nearest to -2? (a) 0.5 (b) y (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -6*d + 10. Suppose -d*z + 7*z - 29 = -n, -n = -2*z + 6. Solve -3*v - n*f + 2*f + 2 = 0, -2*f = 5*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*m**2 - 8 - 3 + 0 + 9 + 2.\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 76 = -236. Let g be 375\/(2 - 162\/k). Round g to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the second derivative of r**5\/20 - 41*r**4\/12 - 17*r**3\/3 + 39*r**2 - 2*r - 75. Is z(42) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 683, 1364, 2045?\n\"Answer: 681*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -297d + 5?\nAnswer: -2978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 11 and 7058?\nAnswer: 77638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 12180, 23451, 34722, 45993, 57264?\n\"Answer: 11271*p + 909","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 354847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -824*b**3 + 0*b**4 + 821*b**3 - b**4 - 851*b in the form h*b**2 + g*b**4 + q*b + j*b**3 + k and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (135\/(-567)*-7)\/((-5)\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + -2. Let v(u) = u**2 + u + 15. Let l be v(x). Let c = l + -9. Calculate the remainder when 9 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 353*f*m + 4*f - 4*m - 79 with respect to f.\nAnswer: 353*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -216? (a) 299 (b) 1\/3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o**3 + 12*o**2 - 14*o - 9. Let r = -46 - -118. Let a = 59 - r. Let g be x(a). Solve -5*d = -g*w, -4*d + 9*d = -5*w - 45 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) be the second derivative of -s**7\/168 + 13*s**6\/120 + 19*s**5\/80 - 73*s**4\/48 + 7*s**3\/4 + 3357*s. Let t(a) = 0. What is a?\nAnswer: -3, 0, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x**2 - 10. Let q be n(-4). Let m be (1 - q) + -1 + 2. Let k be (m + 0)\/1 - -1. Sort -5, 3, k in descending order.\nAnswer: 3, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7612666t in nanograms?\nAnswer: 761266600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine g, given that 39*g**5\/4 - 2943*g**4\/2 + 73239*g**3 - 2462361*g**2\/2 - 17946675*g\/4 + 220215072 = 0.\nAnswer: -11, 31, 896\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 346 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18188.24513 + -0.4.\nAnswer: 18187.84513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is -7349 at least -7345?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:15 AM and 5:15 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: ((-938)\/3082)\/((-21)\/6)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00208668 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 31*o. Let q(g) = 6*g. Calculate q(k(f)).\nAnswer: 186*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.1, 54.1, -0.5, 0.6, -37?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) be the first derivative of 66\/5*i**5 + 5\/2*i**6 + 69\/4*i**4 - 24*i - 1 - 42*i**2 - 14*i**3. Solve s(d) = 0 for d.\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -5*h + 11. Let r(o) = -o + 2. Let a(v) = -11*r(v) + 2*t(v). Let k(u) = -5*u + 2*u - 5*u + 5*u. What is k(a(w))?\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-86)\/12 + ((-28)\/(-24) - 1). Is -1\/3 at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(68) + -1 + (sqrt(1377) + 0 + sqrt(1377))**2.\nAnswer: 2*sqrt(17) + 5507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 71927651 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 172.8 in -5, 6, 0.2, 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 563300683?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = 150*u - 1225. Let s be r(8). Which is smaller: s or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -18257 by 90.\nAnswer: -18257\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-13 + 68)\/(-10*3\/(-792)) is divided by 284?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 96*3 - (-1 + -1). Suppose 3*u - u - 116 = 0. Suppose 5*t = -3*x + 87, 2*x + 0*t = -5*t + u. What is the greatest common divisor of x and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 4 - 9 = -3*a, 0 = -5*p + 20. Let s = a + 6. Suppose s*w - 42 = -h, h - 5 = 5*w + 7. Calculate the greatest common divisor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**(1\/20))**21\/(k\/k**(1\/51)*k**(-20)))**(46\/3) assuming k is positive.\nAnswer: k**(914227\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 47189\/9 + -5250. Calculate the common denominator of x and 2\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 116568 and 636.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 102725820 and 17120970?\nAnswer: 102725820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 0 (c) 3\/7 (d) 23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 519 + -310. Let h(n) = -n**3 + 8*n**2 - 19*n + 39. Let m be h(5). Calculate the greatest common factor of v and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-14)\/40)\/(18\/(-432)) - (5 + 1 + 2). Let f be (-6)\/(-88) + (-1)\/4. Sort -1\/6, t, 1, f in ascending order.\nAnswer: f, -1\/6, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -81068595 divided by -27022865?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = 10 - 5. Let g = 1 + -2. Let n = -7 + 7. Which is the nearest to n? (a) g (b) -3\/8 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -7 in -5, 1\/137, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 1069?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3148641 is divided by 1761.\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/5, -1\/6, 1, -4, 2, 136845 in descending order.\nAnswer: 136845, 2, 1, 3\/5, -1\/6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*p + 4 - 5 + 1 - 42*p.\nAnswer: -71*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -445782, -445806, -445834, -445866?\n\"Answer: -2*d**2 - 18*d - 445762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: -99.347669 * 0.4\nAnswer: -39.7390676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:27 AM and 11:36 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Multiply 316233 and 6.\nAnswer: 1897398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10699 is divided by 5322?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*g**2\/7 - 338074920*g\/7 + 14286831441625800\/7.\nAnswer: 2*(g - 84518730)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 158? (a) 1\/5 (b) -1.8 (c) -2\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 2406 and 30476?\nAnswer: 91428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -32*x - 30*x - 2 - 12*x**2 + 63*x to the form g*x + r*x**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1200 + 2508. What is the remainder when b is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (3 + -2)\/((-4)\/4). Let f = 5 + v. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -257*0.1\nAnswer: -25.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 134, 208, 272, 320, 346, 344, 308?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 103863 and 2787963.\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1\/3))**(-22)*(g*g**0*g*g)**(-23)*((g*g\/g**(-2))\/g*g\/((g*g**(5\/6))\/g)*g*g)**(-10\/3) assuming g is positive.\nAnswer: g**(-710\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-seven halves of a hour in minutes?\nAnswer: 1110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11110961\/61105998 - 8\/77743. Calculate the common denominator of d and 37\/66.\nAnswer: 8646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*h = 9*h + 8. What is the remainder when 106 is divided by (-2)\/h*(-145)\/10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3614, -3664, -3706, -3734, -3742?\nAnswer: -3724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.010206 rounded to four decimal places?\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m and 2 g when four letters picked without replacement from {g: 3, m: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -0.04 - 1574813369\nAnswer: -1574813369.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 76 = -4*f, 3*f = -5*m + 86 - 9 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -9 divided by 1675232?\nAnswer: -9\/1675232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 49976 = -14*o + 16*o, 99947 = 4*o - d. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 653 is divided by 163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11 and 3027?\nAnswer: 33297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 145010 and 935.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = 3*i + 1. Suppose -5*p = -3*v - i*p + 18, 5*v - p - 22 = 0. Solve -w - 5 = -2*w + u, -4*u = 4*w - v for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 3*m = 0. Let f(g) = 2 + m - 2 + 2*g + 1. Let u(y) = -2 - y + 4*y + 4. Calculate -4*f(c) + 3*u(c).\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2349 and 15399?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes before 4:24 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-1 + sqrt(153)*-2 + sqrt(153))**2 + sqrt(153) + 1 + sqrt(153) + -2 + sqrt(153) + ((3 + sqrt(17) + (-2*sqrt(153) - sqrt(153)))*6)**2).\nAnswer: -8565*sqrt(17) + 198225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 17, 10, -3, -28, -71, -138?\n\"Answer: -v**3 + 3*v**2 - 9*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 2.4866 * 1439\nAnswer: 3578.2174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1 - -1) + -2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -c**2 + 2 - 6 + 0*c - 10*c + 5. Suppose -4*h - n - 16 = -2*h, 2*n - 58 = 5*h. Let u be y(h). Put u, 4, -1 in increasing order.\nAnswer: -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13174 + -111639\/10. Let z = s + -2012. What is the common denominator of 93\/22 and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 28.44 + -34.2. Let n = s + 5.96. Which is smaller: 176 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t*(t**(6\/13)*t)\/t*t*t*t**3)**(-17))**(2\/55) assuming t is positive.\nAnswer: t**(-3298\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = -507 + 505.78. What is z rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -496221 smaller than -496300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3 + -7 + 3)\/(-1). Which is bigger: -2\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -1 + -6 + -2 - -3.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1*6\/(-6)*21\/(-35)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2943*j - 322212 = 2921*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 32352 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*s - 6*s + 634*s**2 - 635*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1556 and 115964012.\nAnswer: 1556","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqtqt. What is prob of sequence qq?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -9*f**2*h**2 - 2698*f*h**2 + 241026*h**2 wrt f.\nAnswer: -18*f*h**2 - 2698*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-80)\/(-15)*33\/22. Calculate the highest common divisor of k and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 3*h = 12, 8*u - 11*u + 12 = 3*h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = 451*w + 2. Let f(n) = -n**2 + 13*n. What is f(l(p))?\nAnswer: -203401*p**2 + 4059*p + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6994926?\nAnswer: 2, 3, 19, 113, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 3*w + 2. Let x be w*(0 - -2) + 122. Suppose y + 2*y = x. Does 15 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1577 + 71004?\nAnswer: 67205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) be the first derivative of x**2\/2 + 14*x + 29. Let g(c) = -15*c**2 + c. Let u be g(1). Let l be n(u). Do 59 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*v + 27 = 3*v + 4*f, 4*v - 37 = -5*f. Calculate the remainder when 21 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 5297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7 + -18. Let s = p + 3. Is -8 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -36, -554, -1070, -1584?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/4 (c) 3 (d) -2 (e) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*s + 41 = -24 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r = 5*f - 55, 0*f + 5*f - 30 = -r. What is the highest common divisor of 77 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5735062566 to the nearest integer?\nAnswer: 1790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide -162648 by 179.\nAnswer: -162648\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/137, 1\/30, -91202 in descending order.\nAnswer: 1\/30, 2\/137, -91202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 2*d + 5. Suppose 5*m - n - 38 = n, 3*n = m - 18. Suppose -2*l - m = 6. Let a be (2\/l)\/(6\/90). Determine p(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -186*n + 200*n + 91 = -91 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 83, 14, -401, -1336, -2965?\n\"Answer: -29*w**3 + w**2 + 131*w - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:23 AM and 3:10 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 + 1)\/(-3*4\/492). Suppose 381 = 3*o - 3*j, 0*j - 4*j = 5*o - 590. Let s = f + o. Calculate the highest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*r = 61 + 93. Suppose 52*x - 336 - 1328 = 0. Calculate the remainder when x is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 10 and 1124?\nAnswer: 11240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -306 = -3*r + 3*m, 2*m + 57 = 5*r - 453. Calculate the remainder when 18152 is divided by r.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -6*c*l**2*v + 929*c*l**2 - c*v + 1451*l**2*v + 2*l*v - 3*v wrt c?\nAnswer: -6*l**2*v + 929*l**2 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5565 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -s - 8 - 6 + 15 + 27 as t*s + w and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7965 is divided by 3976?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) 4 (b) -0.13 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh biggest value in -0.5, -2, 7\/13, -5, 5, -54, 22?\nAnswer: -54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -48*i**5 + 10*i**4 + 6*i**3 + 2094*i**2 + 3*i?\nAnswer: -2880*i**2 + 240*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000374433537 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is (466\/(-3) - 4)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:50 PM and 8:01 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 73\/12 - 973\/156. Which is the second smallest value? (a) i (b) 5 (c) -0.5 (d) 0 (e) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1.7 in 13, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -25319722*l**5 - 38170087*l?\nAnswer: -506394440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -595\/34269?\nAnswer: -595\/34269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-85)\/(-9435)*37*261?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c*(c*c**(3\/2))\/c*c**(-3\/8)\/c)\/((c*c*c*c\/c**(-2))\/(c*c**(-9)*c*c)))\/((c*((c**(1\/3)\/c)\/c)\/c)**(-48\/7))**(-18) assuming c is positive.\nAnswer: c**(10967\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 103 or 1439?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -56772, -56619, -56466?\n\"Answer: 153*u - 56925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 2 + sqrt(325) + sqrt(78)\/sqrt(6) + 2 + 4 + 0 + sqrt(1300) + 5*(sqrt(1300)*2 - sqrt(1300)))**2.\nAnswer: 1188*sqrt(13) + 56709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (61425*s**3 - 150013*s**3 + 73933*s**3)*(3 - 1 + 0).\nAnswer: -29310*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*s**5*v - 3796025*s**4*v**2 + 203*s**2*v**2 + 298*s**2*v + 12*v**2 wrt s.\nAnswer: 180*s**2*v - 91104600*s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of p**4 + 21429*p**3 + 234692*p**2 wrt p.\nAnswer: 24*p + 128574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + (4 - 2\/(-2)). Suppose q + d*q - 15 = 0. Suppose 104 = q*l + 9. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 19663802 a multiple of 1268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1064542 from -3.05075078.\nAnswer: 1064538.94924922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4)\/(-6)*15\/(-2). Let j(g) = -5*g - 31 - 32 + 90 - 4*g**3 - 32. Let v(p) = 4*p**3 + 6*p + 6. What is w*v(y) - 6*j(y)?\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*y + 8*y - 9*y**2 + y to c + p*y + h*y**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = 91.8 - 26.8. Is z < 1\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 43490.463 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + 785 = 2*b + 749, 85 = -5*b - 8*j + 3*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -45197898 by -15065966.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -2821*56\/(-10192)*(-168)\/(-62)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-4953)\/(-91))\/(1\/7)?\nAnswer: 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence frfr when four letters picked without replacement from rfrwlwlrffwlsrwlrlrq?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {f: 6, x: 1, y: 2, u: 2, a: 1}. What is prob of sequence yay?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 12\/3517 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-87)\/54 + 8)*6\/4 and -39\/82?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = 5*u + 5, 6*u - q = 5*u + 7. Suppose 3*s = 3*r + 123, -3*s + 0*r - u*r = -133. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 12 = -0*b - 2*y, -4*b + 3 = -3*y. Let j be 0\/b - -2*2. Let g(x) = -j*x + 3*x + 3*x. Let w(o) = -o. Give w(g(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 2*o = -101468, 10*s - 12*s + 50872 = 22*o. What are the prime factors of s?\nAnswer: 2, 5, 43, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-120)\/(-14)*7\/(-1). Let j be ((-18)\/(-15))\/((-2)\/a). Suppose -4*d - w - 3*w = -16, -5*d = -3*w - j. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 659143781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 728.2754 rounded to 0 decimal places?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*s**4 + 2*s**3 - 3290*s**2 + 77*s - 59.\nAnswer: -24*s**2 + 12*s - 6580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 32531*x - 140. Let j be q(8). Suppose 8*h + 76804 = j. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2013039530 to the nearest 1000000.\nAnswer: -2013000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 - 4*i**2 - 2*i - 4. Let g be k(-4). Let a = 6 - g. Suppose 3*r - 1 = a. Solve r = v - 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 105 - 112 - (3 + (-1 - 2)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 2*n - 12, n + h - 20 = -n. Suppose 375 = 34*o - 67. Calculate the smallest common multiple of n and o.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - 5*(-18)\/15 - (-476)\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 9230730 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 5\/(-35))\/(-19*(-15)\/5985)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5.2 - -0.2. Let t = 5.1 + j. Which is the nearest to t? (a) 2\/3 (b) 2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/21156348 and -13\/649537.\nAnswer: 148094436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1582)\/(-28) - (-3)\/(-2). Let x be 4\/10 - (-1298)\/p. Suppose 0 = z + 5*z - x. Solve z = -d - 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-8)\/(8\/(-2)) - -2. Suppose 0 = k + k + c*m - 4, 3*k - 11 = -m. Let h(f) = f**3 - 3*f**2 + 2*f - 4. Determine h(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8879*g**3 + 8871*g**3 - 75*g**3 - 17677*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -605*t + 45497 - 2542 = 0 for t.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2787 is divided by 1366?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 75 = -3*j, 0 = -4*j - d + 6*d + 104. Let m = -2 + 2. Let o = m + j. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 5\/(-3)*1 + 72 + -71. What is the closest to -4 in -2\/7, -4\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -208 at least as big as -1949?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-14)\/g)**(-10\/13))**(2\/7) assuming g is positive.\nAnswer: g**(300\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1094041 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 u when two letters picked without replacement from {i: 2, w: 11, u: 6}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) -0.5 (c) 29.6107 (d) -1 (e) -5 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 62*v - 161*v**4 + 708*v + 80 + 3*v**3 - 80 wrt v?\nAnswer: -1932*v**2 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.2 + 167.\nAnswer: 167.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -173*p - 5 = -178*p, 4*u - 10 = -u + 5*p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 + o)*(-2*o + 0*o + 5*o)*(-164 + 481 + 521).\nAnswer: 2514*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.01 - -0.99. Let t = 2 - 4. Let m be ((-1755)\/(-91) - 19)\/(-4*5\/70*-2). Sort -0.6, t, l, m in ascending order.\nAnswer: t, -0.6, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 616351 at least as big as 616384?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 - 49. Let n = -185\/4 - s. Let t(j) = -j**2 + j + 2. Let a be t(-2). What is the third biggest value in -0.1, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -50959 + a6?\nAnswer: -50873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -26, -1\/4, -70, 0.\nAnswer: -70, -26, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-4)\/(-14) + (5 - (-65112)\/56). Let z = p - 51. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 - 8*m**2 - 10*m - 8. Let p be s(-7). Let k = 35 + p. Is k a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 14 - 134*f**2 + 12*f**3 - 94*f**2 + 8 - 22 wrt f?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -11*q**4 - 13*q**4 - 5*q**4 + (-6 - 10*q + 6)*(2*q**3 + 2 - 2) + 2*q**4 - 3*q**4 + 2*q**4.\nAnswer: -48*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 9? (a) -7.717 (b) -2 (c) -5 (d) 0.06 (e) -0.07 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1681934 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 37126?\nAnswer: 2, 19, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 + 540?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, y: 6}. What is prob of sequence yry?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j = -3*c + 128 + 46, 4*j = 3*c - 156. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t + 0*t = 2. Let x(z) = -z**3 - 2*z**2 + z - 4. Let n be x(-3). Let i = n - t. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 1496 - 1816?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - v + 5*v + 14 = 0, -o + 21 = -3*v. Suppose 2*n - o = -0*n. Let l(j) = 6*j - 4. Is l(n) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 44 (b) -3\/8 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3 - -19290433.\nAnswer: 19290433.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from unuuunn. What is prob of picking 3 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 280024604*b*v**3 - 2*b*v**2 + 64*b*v + 9*b - 3272*v wrt v.\nAnswer: 1680147624*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 987 and 63826?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2730414300 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1275630 and 14140.\nAnswer: 17858820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 * 0.8235.\nAnswer: -1.647","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 23 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -198632.3 minus -48?\nAnswer: -198584.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -1449*s**2 - 2. Let u be x(-2). Suppose 2*p - 16754 = -4*o, 4*o + 15479 = -3*p + 40610. Let n = p + u. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-2288)\/(-55))\/(2\/200). Calculate the greatest common factor of 32 and w.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*u + 3 - 5*u**2 + 4*u.\nAnswer: -5*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + ((-2*sqrt(110) + sqrt(110))\/sqrt(10) + (sqrt(396)*-2 - sqrt(11)))**2*5.\nAnswer: 10777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -102082470\/1621 - -62975. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = 2*o - 2*i, i + 1 = 0. Let m = -3 - -1. Suppose 2*q = 3*w + 11, -5*w - 2*q - 14 = -q. Sort w, o, m in descending order.\nAnswer: o, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*y - 10 = y - 2*y, -3*b + 3*y + 1 = -2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes before 5:53 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*g + 0*g + 2*g)*(5 + 3 - 4)*(-221 + 5 + 17).\nAnswer: -1592*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3325 and 4272415?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 16873682 to the power of 1\/2, to the nearest integer?\nAnswer: 4108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = o**2 - 3. Suppose -238 = v + 4*g, 7*v - 2*g = 3*v - 952. Let n = v + 222. Let r(w) = -6*w**2 + 16. Determine n*h(l) - 3*r(l).\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 839.3063mg to tonnes.\nAnswer: 0.0000008393063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -40268.3 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s - 7 + 1. Let l(i) = -4 + 5*i**3 - 4*i**3 + 5*i**2 - 2*i**s. Is l(4) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-48)\/21 - (9 + -5)\/(-2). Let o be 1 + (-3)\/2 + -2. Sort o, u, -1\/4 in ascending order.\nAnswer: o, u, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 235299 and 738.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 86.82936 nanograms to grams.\nAnswer: 0.00000008682936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 4, h: 7, z: 2, m: 1, q: 1}. Give prob of sequence vmq.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (55*j**2 + 32*j**2 + 199*j**2)*(-2 + 4 - 1)*(j + 0*j + j) in the form v*j**3 + l + f*j + h*j**2 and give v.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-366)\/(-8) + (-2)\/(-8). Let b(k) = -k**2 + 9*k - 10. Let i be b(7). Suppose i*x - 50 = t. What is the highest common factor of 60 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0673198 * -66\nAnswer: 4.4431068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1210, 1211, 1212, 1213, 1214, 1215?\n\"Answer: a + 1209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -98 = -2*g + 3036. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2742, 5506, 8280, 11070, 13882, 16722, 19596, 22510?\nAnswer: 25470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -44.4 rounded to the nearest integer?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*x - 3*o + 15, 4*x + 1695*o - 1699*o - 25 = -5 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1103342285 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) be the first derivative of -1\/2*g**2 - 3*g - 4 + 1\/3*g**3. Let h be (-26)\/(-91) - (-57)\/21. What is f(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (14\/5)\/7*25\/2. Suppose -4*a = 12, -a + 7 = u*t - 5*a. Let i = t + 95. List the prime factors of i.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*r - 38800872 + 38800872.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(320)\/sqrt(8))\/sqrt(8) + sqrt(5))**2 + (sqrt(5) + 1)*3 - (sqrt(60)*2*-2)\/(sqrt(48)\/(-2*sqrt(4))))*6.\nAnswer: -30*sqrt(5) + 138","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17 - 12 - 5 - a - a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in -2\/3, 33758, -3, -1\/4, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 399644346*u**2 - 3 + 3 - 399644371*u**2.\nAnswer: -25*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/9578 and -1\/73.\nAnswer: 699194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c**2 + 6*c - 7. Let v be b(5). Suppose 53 = 3*f - v. Let k = 0 + 7. Calculate the greatest common divisor of k and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 145\/(-87)*(-5 - -2). Let s(n) be the first derivative of 5\/16*n**2 - 1\/24*n**3 - 1\/2*n + c. Factor s(a).\nAnswer: -(a - 4)*(a - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 108676728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -13*j**2 - 6*j + 6. Let o be l(1). Put -3, o, -6 in decreasing order.\nAnswer: -3, -6, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 761a0 (base 11) in base 13?\nAnswer: 3b509","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-4*p + 10*p - 1 - 8*p + 2*p + p + 0*p + (-3*p + 6 - 6)*(1 - 2 - 1))*(11 + 25 - 9) in the form u + s*p and give s.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -27*b + 140936. Let n(v) = 13*v. Calculate n(f(z)).\nAnswer: -351*z + 1832168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (530 - j - 275 - 249)*(5*j - j - 3*j).\nAnswer: -j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 281 + 1082. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -43\/136 and 55\/113176.\nAnswer: 1923992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5267274?\nAnswer: 2, 3, 877879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the second derivative of f**5\/60 - 8*f**4\/9 + 55*f**3\/6 - 39*f**2 + 108*f. Suppose t(h) = 0. What is h?\nAnswer: 3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -337\/2 (b) -0.02 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4265173607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1499, -3003, -4507, -6011?\n\"Answer: -1504*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/2 or 13860?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 171 and -1.3?\nAnswer: 172.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.19 - -0.16. Let j = -0.85 + v. Which is the second biggest value? (a) j (b) -1\/5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (220 + 46 - 265 - x - 1127*x**2)*(4*x**3 - 3*x**3 + x**3 - 1 + 1 + x**3 + (3*x - x + 0*x)*(2*x - 2*x - x**2) - x**3 + x - x - 5 + 5 - x**3).\nAnswer: 1127*x**5 + x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -103, -148, -207, -286, -391?\nAnswer: -528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 222 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/4 of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*i**4 + 21603*i**3 - 38901600*i**2 + 38880000*i.\nAnswer: -3*i*(i - 3600)**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put together 87.9 and -199.\nAnswer: -111.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9? (a) -0.03 (b) -1 (c) 0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - (1 - (-4 - -10) - -14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j + 2*u + 36 = 0, 0*j + 4*u - 33 = -3*j. Suppose 30 + j = 5*z. Let m = z - 13. Let q(s) = -4*s - 1. Calculate q(m).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide (960\/100)\/((-2)\/(-505))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3457932, -8, 4 in descending order.\nAnswer: 3457932, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 3*a**2 + 9*a - 12. Let o(j) = 13*j**2 + 35*j - 48. Let p(l) = 4*o(l) - 18*t(l). Factor p(c).\nAnswer: -2*(c - 1)*(c + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 + 0 + 1 - (-1291 - -1391)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * 0.07095.\nAnswer: 0.007095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 1\/2, -7.31?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/49? (a) -1\/5 (b) -4 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 70 and 557410.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-4 - 2)\/6*0. Let q(j) be the first derivative of 15\/4*j**4 + 7\/2*j**2 + o*j - 16 + 0*j**3. What is the second derivative of q(z) wrt z?\nAnswer: 90*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*b**3\/9 + 11260*b**2\/9 + 218000*b.\nAnswer: 2*b*(b + 180)*(b + 5450)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 140 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Total of 1837445 and 4.\nAnswer: 1837449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 138293?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-94 - j - 86 - 53)*(-2*j**2 - 3*j**2 + 4*j**2 + j**2 + 1 - 1 + 6*j**2 - 3*j**2 - j**2 + (-2*j + 2*j + j)*(0 + j + 0) + 2*j**2 - 3*j**2 - j**2).\nAnswer: -j**3 - 233*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 58245, 51348, 32629, -3822, -63915, -153560, -278667, -445146?\nAnswer: -658907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve a - 2*a + 30 = -799*m + 796*m, -31*a + 10*a + 5*m = -688 for a.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2 - (5 - (4 - -5)). What is the second derivative of -16*g - 117 + 117 - 7*g**r wrt g?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 3 v when four letters picked without replacement from {v: 8, o: 2, e: 5}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 87 divide 12147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/2350 and -139\/7050.\nAnswer: 7050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 - 2 = -2*w. Suppose -w = -k + 1. Suppose 6 = k*l - 4. Solve -3 = l*f - 4*y - 16, -35 = -4*f - 5*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/2 and -69\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -66\/85 or 0?\nAnswer: -66\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d - 165 = 3*o, -2*o = -4*d - 7*o + 173. Suppose 60 = 6*l - l - 5*g, 0 = -4*l + 2*g + d. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2404147 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.25*235.\nAnswer: -58.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be 18*(4\/9)\/(4\/3). Solve -8*v = -3*v + 4*t - b, 4*v + t = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8 + 2 + -29 + 4 - -12.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 9 divide 15012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3359775422?\nAnswer: 2, 41, 503, 81457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) -0.3 (c) -464\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2318*n**2*o**2*r**2 + 43*n**2 + 18703*n*r**2 + 3*o**2*r**2 wrt n.\nAnswer: -4636*o**2*r**2 + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v**4 - 2*v**4 + 6*v**4)*(2*v + v + 0*v) + 0*v**5 + 4*v**5 - 6*v**5 - v**2.\nAnswer: v**5 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1.5 from -7691014888067.\nAnswer: -7691014888065.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -5*s**3 - 2*s**2 - 21*s**3 - 6 - 2 - 1 wrt s?\nAnswer: -78*s**2 - 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r**2 + 2*r + 3. Let o be v(-2). Suppose o*q = 23 - 8. Let m = 50 + -24. Solve q*p - m = 3*b, -4*b + 1 = p + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = 896*m**2 - m + 9. Let l be u(-3). Is 8*5\/6*l\/16 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 31338429?\nAnswer: 3, 17, 19, 32341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (20 + 39 - 14)*(m + 2*m - 4*m) + (-4 - 1 + 3)*(-4*m + 2*m - m) in the form j + l*m and give l.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 6401693 * 0.5\nAnswer: 3200846.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 7, -335, 1, 3 in ascending order.\nAnswer: -335, -3, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -174627*f*g**2*j - 160*f*g*j - 17*f*j - 2*f - 2*g**2*j - g + 13*j wrt g?\nAnswer: -349254*f*j - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -0.13 smaller than -136620?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4132.4 - -4618. What is f rounded to the nearest ten?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -3*n**3 + 5*n**2 - 6. Let q(v) = 2*v**3 - 6*v**2 + 7. Let m(s) = 6*c(s) + 5*q(s). Find the first derivative of m(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p + 1. Let s be 77\/28 - ((-15)\/12 + 1). Let w(t) be the second derivative of -3*t**2 - 1\/2*t**3 + 0 - s*t. Calculate -4*g(h) - w(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6)\/(-111) + 17\/(-629)*-1293 + 6.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -252905*d*s**2 + 3*d*s - 66702*s wrt s.\nAnswer: -505810*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -18*q**3 - 1714952*q**2 + 13086204*q wrt q.\nAnswer: -108*q - 3429904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve n**5\/4 + 1721*n**4\/4 - 5171*n**3\/4 + 1727*n**2\/4 + 2585*n\/2 - 862 = 0 for n.\nAnswer: -1724, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -12\/414851 and -97\/180.\nAnswer: 74673180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3008 + 10591. What is the thousands digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1.2? (a) -4 (b) -3 (c) -80\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19921736?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 652.3 + -650.1. Let w = -34 - -35. What is the nearest to 0.3 in 3, u, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 18 + -14. Let q(w) = -w**3 + 3*w**2 + w. Let b be q(0). What is the third smallest value in b, u, -13?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/2 + 6\/(-4). Let m = 904\/3115 + -2\/445. Are l and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 7*w**2 - 15*w + 7. Let t(d) = -2*d + 15. Let o be t(10). Let r(f) = -10*f**2 + 22*f - 10. Let y(q) = o*r(q) - 7*a(q). Determine y(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 8, x: 2, e: 2, v: 2, b: 1, m: 4}. Give prob of sequence bv.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d**3 + 4761*d**2 + 1886544*d - 1891308 = 0. What is d?\nAnswer: -794, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.04988 rounded to three decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 338\/435 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -136024 by 1388.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in -756, -1488, -2196, -2868, -3492?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -3*x + 5*l + 23, 0 = 2*x + l - 14. Suppose 4*m + 12 = 3*u, -x = -2*u + 2*m - 1. Calculate the highest common divisor of 28 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 100 - -10111132003?\nAnswer: 10111132103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = a**2 - 3*a + 4. Let v be (12\/16)\/(1\/(-4)). Let i be (1 + (0 - -5))*(-2)\/v. Give q(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/2*i**5 - 15\/2*i**2 + 3*i + 9\/2*i**3 + 3\/2*i**4 + 0.\nAnswer: -3*i*(i - 1)**3*(i + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2073*n**2 - 1 + 7054335*n**3 + 3*n**4 - 7054335*n**3 to the form u*n**2 + i + x*n + r*n**3 + h*n**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/37 and 33?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -g + g - 42*g**2 + 724*g**2 to the form l*g + k*g**2 + u and give k.\nAnswer: 682","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 44 at least 2\/248199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that -4*q**3\/7 - 16*q**2\/7 + 16*q\/7 + 64\/7 = 0.\nAnswer: -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 123 divide 71563005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -51 - -55. Which is the third biggest value? (a) l (b) -3\/10 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1961620 is divided by 503.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 9443.535ns in seconds?\nAnswer: 0.000009443535","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be -6 - -2 - (-14 + 5). Calculate the remainder when 78 is divided by (-3)\/l + 1339\/65.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.05 - -0.18. Let b = 1508 - 1508.2. Which is smaller: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 72967?\nAnswer: 131, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 2.05 and -1.1?\nAnswer: -2.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 5*m + 0*m - m as l + t*m and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 29994 divided by 9998?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1160 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 25821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 16*t - 21*t + 3*o + 80, 5*t - 85 = 4*o. Solve 4*c - v = -2*v + t, 2*c + 16 = 4*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 6, k: 12}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l - 3*b, 4*l + 4 = 3*l - 3*b. Suppose -4*q = -l*q. Solve y + q = 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 - (2 + -12 + 17 + -17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*w**2 - 279 - 9*w**2 - 267 + 807 - 261.\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (2 + 2 + 1)*(-2 + 1 - 1 + (-3 + 4 - 3)*(0 - 1 + 0) - 46 + 88 + 37)*(-1 + 1 + 2*d**2) in the form o*d + s*d**2 + t and give s.\nAnswer: 790","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3, 23, 63, 129, 227, 363?\nAnswer: 543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -429695\/181 + 2374. Suppose f + 3*r - 10 = 0, 2*r + 3 = 5*f + 4. Is n != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11 - -1378. Suppose -7*t = -f - 180. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2810267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 828 + -3291\/4. Calculate the common denominator of k and 69\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - d = 22, 522*d - 33 = -q + 525*d for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**3 - 17*l**2 - 3*l - 55. What is v(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h be 6 + 8\/2 + -2. Suppose s = 5*v + 29, -2*v - 6 - h = -s. Let o = -2745\/13 + 211. Which is the closest to -1? (a) v (b) o (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208) + -5)**2 + sqrt(1872)*-1 + sqrt(1872) - (-4 + (2 + -3 + sqrt(325) - sqrt(325))).\nAnswer: -40*sqrt(13) + 238","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 912.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/36 - 38\/(-9). Which is smaller: 6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8 + 13. Suppose 4 + 1 = -g*i. Find the common denominator of (i + (-209)\/9)\/(-4) and 59\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8831936 rounded to the nearest one thousand?\nAnswer: -8832000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mae when three letters picked without replacement from {a: 2, e: 3, m: 1, w: 7, q: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -5*l + 29. Let b be g(5). Let x(d) = 103*d**2 + d. Let n be x(1). Suppose 0*i + n = b*i. Calculate the remainder when i is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/3 in 0.5, 3.75, -5, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 118063, 472315, 1062759, 1889395, 2952223, 4251243?\nAnswer: 5786455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (18\/21)\/((13\/26)\/((-56)\/80))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 470 and 5358.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 2, 11, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = -9*g + 13. Let w(t) = -2*t. Let u(m) = d(m) - 4*w(m). Give u(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6270 + -6263. Solve -27*q - 3 = -24*q, -2*y = 3*q + u for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 43142 divided by -21571\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 58*k + 1. Let q be n(1). Suppose b - 3*b = c - 18, 5*b - c - q = 0. Let o(l) = -l**3 + 2*l**2 - 3*l + 11. Let i be o(2). Solve -i*p - b = 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m*m**(2\/39)*m**(-6\/5))\/((m\/(m\/m**0))\/((m**(3\/7)*m)\/m)) assuming m is positive.\nAnswer: m**(1747\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 0*t + 0*t - 2*t**2 - 10*t**2. Let u(m) be the first derivative of -m**3 + 2 + 7 + 5 + 2*m**3. Calculate x(u(p)).\nAnswer: -108*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.35481 rounded to two decimal places?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 74422119, 74422108, 74422093, 74422074, 74422051?\nAnswer: 74422024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w**2 + 40*w - 399. Determine g(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 7*a**3 + 29*a**2 + 6*a + 6. Let o(f) = f**3 - f**2 + f + 1. Calculate 6*o(b) - s(b).\nAnswer: -b**3 - 35*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 3*y + 12. Let w(a) = 2*a + 12. Let v(q) = -3*r(q) + 4*w(q). Let z be v(9). Solve z*t = -5*p + 17, 3*t - 21 = -5*p - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 18976 - 18973. Solve -3*t = 4*b - m, -t + 9*b = 10*b - 1 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 11 - -8553?\nAnswer: 8564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*m**3 + 2*m**2 - 2*m**2.\nAnswer: -13*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7035 or 28143\/4?\nAnswer: 7035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f\/f**23*f)*f*f*f**(-7\/2))\/(f**6)**(-3\/5) assuming f is positive.\nAnswer: f**(241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5.9 or -3?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2009 divided by 3.\nAnswer: -2009\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = 263819\/109935 - -5\/21987. Determine p so that 3*p**2 + f*p + 3\/5*p**3 + 0 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.036 - -33.036. Let c = w - 29.2. Let p = c + -2.8. What is the second biggest value in 0.2, 2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71 a factor of 384181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 121223442 (base 5) to base 13.\nAnswer: 16c895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - 2*a = 3*a. Solve a = -2*j + 3*o + 10, 4 = 4*j - o - o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1781822 is divided by 2856.\nAnswer: 2534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 11 + -6. Let s be (w + -11)*(-46)\/(-6). Let f = -20 - s. What is the remainder when 77 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11 - 7. Suppose l + s*l = 0. Suppose -r - r = l. Solve r = -g - 3*g - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 497244 rounded to the nearest ten thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -g**3 - 33*g**2 - 68*g - 182. Let k be z(-31). What is the highest common factor of 162 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1276 and 352.\nAnswer: 10208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = 31 - 29. Suppose 0 = c - m*c + 1985. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 2, z: 2}. What is prob of sequence zddz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 136003 (base 8) to base 4.\nAnswer: 23300003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4457489, -4457474, -4457459, -4457444, -4457429, -4457414?\nAnswer: -4457399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 448 and 512?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 54 + 7b?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**2 - 17*z - 21. Let w be q(-7). Let r = 59 - w. Suppose 470 = -r*o + 15*o. Is o a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23 is divided by (-129)\/(-15) - (-15)\/(-25).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w + 14 = h + 3*h, 5*h + 4*w = 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the first derivative of 3*y**5\/25 - 123*y**4\/20 + 546*y**3\/5 - 3234*y**2\/5 - 8232*y\/5 + 23. Find k, given that z(k) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y = -3*x - 28, 3*y - 51 + 23 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -740230929\/70 - -10574545. Let y = -1245\/7 - d. Calculate the common denominator of y and (2 - 43\/20)*3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 55 - 99. Let q = 78 + l. Let p = q - 29. Which is the nearest to 0? (a) p (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 4) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/(-8))\/(4*(-1)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 660 is divided by 459?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = 2*i - 19. Let y be n(9). Is 404 - (3 + y - -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -20022002120110 (base 3) in base 14?\nAnswer: -63217b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4.7 + 0.3. Suppose -5*u + 10*u = 10. Which is the third biggest value? (a) -2 (b) u (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*h - 5*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 304 minutes before 10:17 PM?\nAnswer: 5:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f = 44 - 44.27. Let d = -0.338 - f. What is d rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5854751482.00000095 + 5854751350. Let c = -132 - j. What is c rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -422693 (b) 2 (c) 9 (d) -1\/3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 169 + -163. What is the third derivative of -42*n**6 - 5*n**6 - 47*n**2 + 12*n**l + 22*n**2 wrt n?\nAnswer: -4200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -a**2 + 16779*a - 16777*a - 2*a**3 + 9852*a**4 + 0*a**2 + 2*a**3 in the form j + i*a**3 + b*a**4 + o*a + l*a**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 68 = 3*d. Suppose 0 = -5*h - 5*c + c + 188, 0 = 2*h - 2*c - 86. Let f = h - d. What is the highest common divisor of 30 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = 2*u - 10. Let b be (1\/((-18)\/(-6096)))\/(4\/6). Suppose -z + b = -u*z. Round z to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*10\/(-1170)*-6\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -144 and -0.3?\nAnswer: 43.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of 151*q**8\/14 - 157*q**4\/4 - 31*q - 8. Find the third derivative of s(w) wrt w.\nAnswer: 72480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = -7*s - 5, -5*s = -5*c + 95. Suppose -c*i - 2471 = -25*i. What are the prime factors of i?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z, 2 t, and 1 r when four letters picked without replacement from {y: 2, z: 3, r: 1, m: 6, t: 5, s: 2}?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 7*b - 2. Let d(v) = -279*v + 81. Let x(y) = -2*d(y) - 81*u(y). Let z(k) = -8. Let q(h) = -h - 6. Let s(p) = -4*q(p) + 3*z(p). Determine x(s(g)).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 12 = n - 3, 0 = -n - 5. What are the prime factors of i\/(-2) - 20\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -17\/8? (a) 1.3 (b) -2\/9 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 151\/36 and -103\/1254.\nAnswer: 7524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 86, 95, 114, 149, 206?\n\"Answer: s**3 - s**2 + 5*s + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of h**3 + 11276456*h**2*t - 180*h*t + 44877*h + 3*t wrt h.\nAnswer: 6*h + 22552912*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -430 divided by 1217\nAnswer: -430\/1217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify d*d**(14\/5)*d**(-4)*d**17*d**(4\/5) assuming d is positive.\nAnswer: d**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -1706*b + 1907. What is v(1)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 27, 82, 165, 276, 415, 582?\n\"Answer: 14*u**2 + 13*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (1 - 0)*(-25)\/(-25)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 3*c - 4 = 0, -41*c = 3*m - 46*c + 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Add 8 and -788.810972176.\nAnswer: -780.810972176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 80, -658, -2632, -6454, -12736?\n\"Answer: -102*y**3 - 6*y**2 - 6*y + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**2 + 2. Let k be f(0). Suppose -u + 4*i + 6 = 0, 5*u - 30 = k*i + 3*i. Suppose j = u*j - 15. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*(76\/10 - 7).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 8 - 202*y - 50*y + 7 to h + l*y and give l.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3567 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 69*t - 67*t - 3361 = 5*g, 3*t - 5013 = -2*g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 6, -7, -32, -69, -118?\n\"Answer: -6*x**2 + 5*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -4900764 to the nearest 100000.\nAnswer: -4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 16 + -13. Solve 2*h = 4*d - l*h + 19, 2*d + 2*h - 4 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -3*l**3 + 148335*l**2 + 593376*l + 593388 = 0.\nAnswer: -2, 49449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 8608 (base 9) to base 2.\nAnswer: 1100010110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = 70 + -70.236. Let m = 1.346 + h. Round m to 1 decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1\/10 - 3\/5. Let l = -2 + 2.04. Are l and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 2350 (base 6) to base 15\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 PM and 6:59 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 107351.\nAnswer: 107351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 554507240 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = -10402763281\/30221 + 344223. Is 0 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from szasvz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 0.299234 take away 628?\nAnswer: -627.700766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -631 or -625?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -24*p + 19*p. Solve 15 = 3*c + p*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 1 = 3*v + 3, 3*i - 18 = v. Suppose -d - 62 = -5*s, 0 = i*d - 20 + 5. Does 9 divide 28 + -28 + 9*s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 74274 = 4*x, -3*n = -10*x + 11*x - 111418. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -6*v - 5*v**2 - 3 + 2*v + 2*v**2 + v**3. What is r(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 2, s: 2, a: 1, e: 1}. What is prob of sequence es?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 49913?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 10402181954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-12)*2)\/((-9)\/6)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -383006 times 0.5\nAnswer: -191503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(21\/12 + 0). Let v = -0.99 + -0.01. Which is the closest to v? (a) -2 (b) -1\/2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 178197*t - 180 + 180.\nAnswer: 178197*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = 84 - 314. Let m = 20 + k. What is the remainder when 16\/(-10)*m\/12 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 696108467 to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*b + 15*b - 95*b - 830 = -50 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 69 - 488?\nAnswer: -41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1041801 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4, 3, 7\/36, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = -120*h + 119*h + 1157, h = -4*b + 4649. What is the highest common factor of 7857 and b?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 374 + -230. Does 24 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-67)\/(-871))\/((-24)\/728)?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l = 0, 2 = -5*v + 3*l + 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w be 379228608\/8910 + (-5)\/(75\/2). Calculate the greatest common divisor of w and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -528642, -528664, -528688, -528714?\nAnswer: -528742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2766448 is divided by 230537?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + (-2 + -2 - 4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 458282 is divided by 1273.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**4)**(6\/11)\/(d\/d**11*d\/(d*(d*d*d\/(d\/(d\/(d\/(d*d**(-13\/5)))))*d)\/d*d)) assuming d is positive.\nAnswer: d**(537\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, -0.2, 1\/3, -5.\nAnswer: -5, -1\/3, -0.2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kvkupvvv. Give prob of picking 1 v and 1 k.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*i - 416 = -16. Differentiate -9*z**2 - i*z**2 - 2 - 50*z**2 + 6*z**2 with respect to z.\nAnswer: -206*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = 4*y**2 - 3*y + 3. Let a = -121 + 17. Let f be (-78)\/a - (-10)\/8. Calculate s(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -7*(3\/(-8) - (-18796)\/(-224)) is divided by 123?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 10*v**3 + v - 653 wrt v.\nAnswer: 30*v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = 52*g - 56*g - c, c = -2*g + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 34*s**2 + s - 1. Let o be w(1). Suppose 12*x - o + 10 = 0. Suppose -5*y = -10*y + 100. Solve -2*r - 3*r = -x*p - 12, y = 2*r + 3*p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73 + 1852184*r**2 - 37 - 36.\nAnswer: 1852184*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 171905, 687507, 1546835, 2749889, 4296669?\nAnswer: 6187175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 170 = -194*s + 199*s. Suppose -10*h = -16 - s. Solve -12 = -h*l + l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - h + 4 = 0. Let x be (-6 - -4)\/(h + -2). Solve -3*y + 2*i = -0*y + 1, 4*i - 10 = -x*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 347*a - 351*a - 5*i + 12896, 4*a - 3*i - 12896 = 0. What is the highest common factor of a and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -771138556 by 4.\nAnswer: -192784639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*h**2 + 67676592*h - 135353196.\nAnswer: 3*(h - 2)*(h + 22558866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 0.12, -17\/6, -4\/3 in increasing order.\nAnswer: -17\/6, -4\/3, 0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - c = -24. Calculate the lowest common multiple of c and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 6, t: 4, i: 2, o: 3}. Give prob of picking 3 o.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of -26 + 0*k - 4*k**3 + 0*k**2 - 2\/3*k**6 - 4*k**5 - 7*k**4. Suppose i(z) = 0. What is z?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n + 1. Let u be i(-1). Suppose 2*x = -4*p + 3*p + 42, -2*x + 2*p + 30 = u. Solve -2 = 2*k - k, -5*b - x = -3*k for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5529 and 57.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*w - 7*w. Suppose x + 2*l - 20 = w, -2*x = -4*x + 3*l + 26. Solve -d + 5*z + x = 0, -4*d = 5*z + 5 + 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*t**4 + 5*t**2 - 4*t**2 - 4*t**2 + 5*t**2 - 2 - t**3 as l + f*t**4 + w*t**3 + v*t + c*t**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*l**3 - 4582212*l**2 + 9164412*l - 4582204.\nAnswer: 4*(l - 1145551)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 19086*d**2 - 2171 wrt d?\nAnswer: 38172*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, h: 1, x: 2, m: 1}. What is prob of sequence xh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**2 + 4*q. Let o be c(-4). Suppose o = -5*d - 33 + 128. Calculate the greatest common factor of 38 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 829638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 57, -29, -12, 1 in increasing order.\nAnswer: -29, -12, 1, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 89\/2 of a milligram in micrograms?\nAnswer: 44500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 3 - -11. Let f = k + -22. What is the smallest common multiple of 7 and (-38)\/(-4) + (-4)\/f?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 27.105 and 1.97.\nAnswer: 53.39685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 360808 to the power of 1\/2, to the nearest integer?\nAnswer: 601","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000012735 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0, -3, 0.2, -276, -2\/11, 4, -0.019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*z**3 - 96359518*z**2 - 3473133*z + 12 wrt z?\nAnswer: -12*z - 192719036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = 4*u - 161. Suppose -3*q + 15 = -a, -a - 6 = 5*q - u. Suppose 0 = 4*r + 4*x - 4 - 0, -x = -q*r + 24. Put -5, r, 4 in increasing order.\nAnswer: -5, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 271852.9 years to millennia.\nAnswer: 271.8529","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*b = -7*b + 3. Let x = b + 21. Does 6 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3204 - -19159\/6. Let s be (-18)\/120*4 - 417\/5. Calculate the common denominator of h and 1082\/s + (-42)\/147.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*a - 7 = 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - j + 963 = 0, -2*j - 1087 + 311 = -4*l. What is the remainder when l is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1083816*l**4 - 20*l**2 - 3360*l wrt l.\nAnswer: -26011584*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1443688 to the power of 1\/2, to the nearest integer?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(162)*-1*3 - sqrt(162) - sqrt(162))\/sqrt(9))\/(-1*sqrt(900)*-2).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1 divided by -18244699?\nAnswer: 1\/18244699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t**2\/21 + 1869116*t\/7 + 11214688\/21 = 0.\nAnswer: -2803672, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1176*p + 34 + 19 + 17 - 22 + 7203*p**2 = 0. Calculate p.\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -1066098\nAnswer: -1\/1066098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - c)*(0*c**3 + 0*c**3 - c**4) + 0*c**5 - 2*c**5 + c**5 + (-26 + 26 + 16*c**2)*(2 - 2 + 3*c**3).\nAnswer: 48*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 504.74812 to one decimal place.\nAnswer: 504.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = -m**2 - 14*m + 9. Let x be j(-8). Suppose -5*l + x = -53. List the prime factors of l.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 12) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4303 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 747 (base 8) in base 4?\nAnswer: 13213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1759626 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 37078.18 millilitres to litres.\nAnswer: 37.07818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*c**3*o**3 + 43*c**3*o**2 + 2*c**2*o**2 - 976*o**3 wrt c?\nAnswer: 12*o**3 + 258*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 108, 129, 3.\nAnswer: 3, 108, 129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t = 40507 + -770050\/19. Which is smaller: t or -21?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y = 5*q + 5, -27*q = -20*y - 24*q - 20 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2*(1 - (-123)\/2). Suppose -5*c + a + 9 = 0, -6 = -3*c - 4*a - 19. Let i be 3\/c - (7 - p). Calculate the highest common divisor of i and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((-3 + (sqrt(1331) - (0 + sqrt(1331) + sqrt(1331))) - sqrt(1331)) + 1)*5 + -1*(sqrt(1331) + (sqrt(1331) + -1 - sqrt(1331))*4 + -2 + sqrt(1331)*2))**2.\nAnswer: 1144*sqrt(11) + 224955","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 424*h**2 - 95*h + 3735 - 415*h**2 + 1887 wrt h.\nAnswer: 18*h - 95","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(19))**2 + 3 + sqrt(19) - (sqrt(76)\/sqrt(4) + 3).\nAnswer: -4*sqrt(19) + 23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17655.\nAnswer: 3, 5, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2489.011 nanograms in tonnes?\nAnswer: 0.000000000002489011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -10*z**3 + z**2 + 19*z - 11. Let s(y) = y**3 + y**2 - 4. Let o(b) = -2*s(b) + t(b). What is the second derivative of o(v) wrt v?\nAnswer: -72*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*l**3 - 21*l - 22*l - 9*l**3.\nAnswer: -6*l**3 - 43*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 1103*h**3 - 2*h**2 + 2*h - 2. What is the tens digit of p(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 3*r - 4*q - 4, -5*r + 2*q = -11. Let o(s) = 19*s**3 + s**2 - 2. Let c be o(r). Suppose 4*g + 0 = -20, 4*i + 4*g - c = 0. Does 27 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 2*t + 13 = -9, -t = 2*d - 1. Which is the nearest to d? (a) 1\/2 (b) -5 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 243*p**2 + 2426*p - 29. Determine x(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 928 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1051406 is divided by 145?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1720356 and 924.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be -3 + (-2 + 24 - (4 - 3)). Suppose 2*v = -0*v + x. What is the remainder when v is divided by -2*1*-2*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -20.91 + -6.58. What is l rounded to zero dps?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1*((sqrt(17) + 2 + 0)**2 + (sqrt(136)\/sqrt(4) - sqrt(34))\/sqrt(2)) + (sqrt(272) + -2 + sqrt(272)*1 - sqrt(272)) + (2*sqrt(272)*2)**2).\nAnswer: -12987","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 197 - 193. Factor -68*o**2 - 2*o**j + 63*o**2 + 7*o**4.\nAnswer: 5*o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 + h**3 - 3 + 2 + 0*h**2 + h**3 + 0*h**2 + (-2*h + 0*h + h)*(-2*h**2 - 11*h**2 - 2*h**2).\nAnswer: 17*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 0.043 times -203\nAnswer: -8.729","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -297*q + 988*q - 2404 - 6579 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -n**3 + n**2 + n - 1. Let x(k) = 2*k**3 + 2*k**2 + 2*k + 3. Let q be (60\/280 - (-80)\/35)\/(5\/2). Determine q*x(b) - 2*d(b).\nAnswer: 4*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -704173, -1408329, -2112489, -2816653, -3520821?\n\"Answer: -2*n**2 - 704150*n - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -8 (base 9) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(143) + -1*-5*sqrt(143))\/(sqrt(11) + -3*sqrt(891)).\nAnswer: -3*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**2 + r - 1. Let o(b) = -5*b**2 - 4*b - 12. Determine 3*m(k) + o(k).\nAnswer: -2*k**2 - k - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -2 + 8. Let l(c) = 1 + 21 + 8*c**3 - 5 - 11*c + p*c**3. Let q(m) = -5*m**3 + 4*m - 6. What is 4*l(f) + 11*q(f)?\nAnswer: f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -12*l - 9*l + 2 - 2 + 3*l - l**2 - 8*l**3 as n*l**3 + z + x*l**2 + j*l and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 4 - -5869\nAnswer: 5873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -1a3697 (base 11) to base 9.\nAnswer: -525334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -96, -191, -286, -381, -476?\n\"Answer: -95*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 666379 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 r = 115 - 55. Suppose l - 121 = r. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(-1\/4))**(-43)*(v\/(v\/(v*v*v**(-1\/2))))**10*v**(-1\/10)*v*v**(-1\/4)*(v**(-4)*v)\/(v\/(v**(-3\/7)*v)*v) assuming v is positive.\nAnswer: v**(-736\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**2 + 6*k + 16. Let y be c(-7). Find the first derivative of -15 - 11*n**2 - y*n**2 - 20*n**2 - n - 1 wrt n.\nAnswer: -108*n - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d = -0*d - 3. Let l = 11 - 12. Let z(p) = -p. Let t be z(-1). Sort t, d, l in descending order.\nAnswer: d, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 14*x**5 + 962*x**4 - 8634*x**3 + 22702*x**2 - 18740*x + 3696 = 0.\nAnswer: -77, 2\/7, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(2\/25)\/t*t*t)\/t**(-1\/2))\/(t**8\/t**(-6)))\/((t*t**(8\/7)*t\/t**(1\/2)*t*t)\/(t*t\/t**(-5)*t*t*t*t**7\/t*t*t)) assuming t is positive.\nAnswer: t**(164\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 2\/3, -1\/4, 5, -0.04?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45*c - 9708 = 34977. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - w = -10. Sort 5, 1, w.\nAnswer: 1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 4, z: 1, e: 1, a: 1, f: 1}. What is prob of sequence nazn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ma when two letters picked without replacement from {h: 1, m: 4, a: 1, k: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence elul when four letters picked without replacement from {u: 6, e: 7, l: 2}.\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:34 AM and 2:01 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qyqggqbbqbg. What is prob of sequence bg?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 4*v + 28. Let a be k(-8). Let y(i) = -i**3 + i**2 + 1. Let b(f) = -3*f**3 + 4*f**2 + 4. What is a*y(m) + b(m)?\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7806?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3166961710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -211053148 divided by -894293\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zznznonoopozo. What is prob of picking 3 z and 1 n?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 167*k = 141*k - 217*k - 255 + 6330 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 428, 858, 1288, 1718, 2148?\n\"Answer: 430*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 145 + -140. Suppose -5*t + 2429 - 254 = j*o, 3*o = -t + 1315. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 3 + 3)*(-2 + 2*a + 2)*((1 + 1 + 0)*(-3*a + a + 5*a) + 9 - 5*a - 9).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 201998 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) be the first derivative of n**2\/2 + 3*n - 1. Let y be x(12). Calculate the greatest common factor of y and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 82*i + 700. Calculate z(-9).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve z + 2068*d = 3*z + 2065*d + 74, 3*d - d - 8 = 0 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1320 - -1325. Solve 3*c - 8*x - 1 = -4*x, 1 = -3*c + l*x for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -160, -422, -792, -1276, -1880, -2610, -3472, -4472?\nAnswer: -5616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -n**5 + 318475*n**4 + 1592407*n**3 - 2229331*n**2 - 9235950*n + 9554400 = 0.\nAnswer: -5, -3, 1, 2, 318480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 395*2.\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2223390.6 months in millennia?\nAnswer: 185.28255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, h: 1, f: 3}. Give prob of picking 2 p.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2165.07 - -2165. What is the biggest value in 0.35, x, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 3*k**3 - 2*k**2 - 4*k. Let f(b) = -4*b**2 + 3*b**2 + 5*b**3 - 2*b - 4*b**3. Let j(d) = -d**2 + 6*d - 3. Let y be j(2). Give y*f(t) - 2*r(t).\nAnswer: -t**3 - t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 1 + 5 - 8 + 7*l. Let p be (-3)\/2 - 40\/(-16). Does 5 divide f(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -60*i**4*s + 374*i**2 + 22*i*s - i + 7*s + 1 wrt i?\nAnswer: -720*i**2*s + 748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -4, 41, 176, 449, 908, 1601, 2576, 3881?\n\"Answer: 8*h**3 - 3*h**2 - 2*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -6897.468 to the nearest 100.\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8073*d - 273 - 91 + 620*d**3 + 28*d**3 - 237 + 48*d**4 - 413 - 15909*d**2 = 0. What is d?\nAnswer: -26, -1\/4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-290)\/(-90) + 4 + -7)\/((-22)\/(-6))?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**3 + 12*u**2 - 16*u - 12. Let p be q(-10). Let i be -2 + -1 - p\/(-120). Which is the biggest value? (a) 0 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a + 2*f + 2, 0*a + 5*a = 4*f + 26. Let k(s) = 12*s**a + s + 13*s**2 + 5*s + 7*s + s. Let w(r) = -8*r**2 - 5*r. Calculate 3*k(x) + 8*w(x).\nAnswer: 11*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 + 1. Let m(z) = b + z - 1. Let s(l) = 7*l**2 + 20*l + 11*l - 17*l**2 - 31*l. Calculate m(s(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -98955 plus -3?\nAnswer: -98958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 654 is divided by 73.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s - 351 + 371 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -147*w - 285*w - 33*w in the form i*w + d and give i.\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (-14*u + 3 - 3)*(4 + 2 - 4) in the form q + k*u and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/36 + (-5)\/((-40)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/((-6)\/(-8))*(-9)\/(-12). Let v(z) = -33*z - 7. Let g(b) = -16*b - 3. Let d(r) = -5*g(r) + 3*v(r). Is d(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*b + 651 = -4*b. What is the second derivative of b*s + 10*s**3 + 12*s + 1 - 13*s + 21*s**3 wrt s?\nAnswer: 186*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i - i - 4 - i)*((-5*i + 4*i + 0*i)*(i**3 + 3*i**2 - 3*i**2) - 4*i**4 - i**4 + 2*i**4 + 5*i**4 + 2*i - 2*i).\nAnswer: -2*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-85)\/(-1) + -6 + 2. Suppose -5*d = 16 - k. List the prime factors of d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 3:51 PM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 + -4 + 2 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yhnrrnnyrrrrrn. What is prob of sequence yh?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4.4 + -4. Let i = -0.4 + 0.2. Which is the smallest value? (a) 1\/6 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:08 AM and 10:45 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 131743747?\nAnswer: 23, 337, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -913320 by 1.\nAnswer: -913320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 8 = 5*a. Let t be -9*(8\/(-6) + a). Let p(n) = -n + 27*n**3 + 6 - 22*n**3 + 6*n**2 - 4*n**3. What is p(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**3 + 8*k**2 + 3*k - 47. Let s be o(6). What is the second derivative of 58770 - 112*i - s*i**2 - 58770 - 26*i wrt i?\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 7\/1 + -1 + -2. Suppose -v + 2 = -x*c, v + 5*c = 2*v - 2. Suppose t = -0*t + 4. Sort -5, v, t in ascending order.\nAnswer: -5, v, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g**2 + 36*g - 40*g - 4*g**3 + 23*g**2 - 8 - 8*g**4 = 0. What is g?\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = r**3 - 9*r**2 - 4*r - 5. Let v(q) = -q**3 + 11*q**2 + 4*q + 5. Let c(y) = 6*h(y) + 5*v(y). Let u be c(-2). Which is smaller: u or -3\/38?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k + v = -0*k - 8, -k + 20 = -4*v. What is the least common multiple of k and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -72 - -47. Let m = -30 - l. What is the second smallest value in m, 0.02, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -z**4\/4 + 425*z**3\/4 - 45787*z**2\/4 + 133563*z\/4 = 0 for z.\nAnswer: 0, 3, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -0.05 (b) -118.71 (c) 4 (d) -2\/13 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = 3*t - 3*q, 2*q = -2*q. Which is the biggest value? (a) 3 (b) -3 (c) 1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:25 PM and 10:24 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 218350 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32\/28)\/(880\/(-280)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -47069 (base 13) in base 4?\nAnswer: -133222232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19286409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1090870 divided by 2110.\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {b: 3, u: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100 = 12*r + 724. What is the nearest to 0.1 in -2\/7, r, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-100)\/(-24))\/25*-2*-93.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6877883 is divided by 6743.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s be 7*(2\/(-2))\/1. Let i(z) = -z**3 - z**2 - 4*z**2 - z**2 + 3*z + 10 + 3*z. Determine i(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 260 + -133. Let h = -54 + t. Suppose -2*g - 7*o + h = -2*o, 3*g + 5*o - 107 = 0. List the prime factors of g.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42 a factor of 33979177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s - 6. Suppose -10 - 12 = t + 4*x, -2*t = -2*x + 4. Determine m(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 d and 2 e when four letters picked without replacement from {e: 4, b: 1, d: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -2.671*1692\nAnswer: -4519.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 273 = -6*o. Calculate the greatest common divisor of o and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 987470\/29414 + 2 + -36.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 278 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 6*i**2 + 136*i + 11. Determine j(-22).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -15479.6 rounded to the nearest one hundred?\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = 3*c - 8. Let l(z) be the third derivative of z**4\/6 - 2*z**3 - 151*z**2. Determine -7*f(q) + 5*l(q).\nAnswer: -q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 202623907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 233312 (base 4) in base 14?\nAnswer: 118a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1009, 2006, 3601, 5776, 8513, 11794?\nAnswer: 15601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t**(-2\/3))**(-50))**(-34))**(-9\/5) assuming t is positive.\nAnswer: t**2040","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:28 PM and 12:48 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -218967 (base 11) in base 3?\nAnswer: -122201010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -112, -224, -414, -682, -1028, -1452?\n\"Answer: -39*x**2 + 5*x - 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 1343, 162.41, -2\/7 in increasing order.\nAnswer: -4, -2\/7, 162.41, 1343","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert -114565 (base 7) to base 2.\nAnswer: -101000110001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, b: 9, x: 2, t: 2}. Give prob of sequence vv.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 4*v - 2. Let w be (-26 + -1)\/(3\/v). Let j = w - -39. What are 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 0.0005071412 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 7 in -57\/10, 19, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (22\/(-660)*10)\/((-2)\/(-558))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q and 2 x when three letters picked without replacement from {q: 3, x: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.4, -10\/289, -2\/33?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -2\/307 (b) -36\/17 (c) -0.03 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Suppose w - 18 = 2*n, n = 4*w + 3*n - 32. Suppose -3*l = -13*l + w. Solve 0 = -2*a - l + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 6*u - 10*u. Suppose -4*q + 29 = -u*z, 3*z = 2*q - 2*z - 25. Suppose 3*o + 151 = 4*v - 137, -q*v + 5*o = -365. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 5756240 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose f + 0 = 14. Let z = 16 - f. Put z, -1, 0 in descending order.\nAnswer: z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-18 - ((7 - 9) + -1)) + 5 - (-590 + 590)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -r - 3 = -3*g, -48*g + 49*g = 5*r + 43 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the third derivative of m**7\/3780 + m**6\/405 + m**5\/135 + 3*m**3 - 19*m**2. Let j(y) be the first derivative of d(y). Factor j(l).\nAnswer: 2*l*(l + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 - 4*x**2 + x + 4. What is y(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 14951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 451*v - 879*v - 240 = -422*v for v.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the third derivative of -j**8\/84 + 11*j**5\/60 + 3*j**2. What is the third derivative of k(y) wrt y?\nAnswer: -240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 22063*v**2 + 159*v - 21641*v**2 + 567*v wrt v?\nAnswer: 844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -p**4 - 29*p**3 + 96*p**2.\nAnswer: -p**2*(p - 3)*(p + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*j - 56*j - 2*v = -126, -142*j - 2*v = -143*j - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*n + 2*g + 3, -g = 36*n - 34*n + 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 134 and -6770882318922?\nAnswer: 6770882319056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 150766 and -0.5.\nAnswer: -75383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2694*g**2*x**2 + 3*g**2 + 172*g*x**2 + 3902*g*x + x - 12 wrt x.\nAnswer: 5388*g**2 + 344*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -1130210231 (base 4) to base 9\nAnswer: -637122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 157401 to the power of 1\/4, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -32.1 + 37.1. Which is the third biggest value? (a) f (b) 1\/3 (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 606030620 a multiple of 1690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + 26 = 5*r - r, -2*g + 4*r = 14. Let h(t) be the second derivative of 2*t**3\/3 - 2*t**2 + 668*t. What is h(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2*(-194)\/(-16) + (-120)\/(-160). What is the highest common divisor of 10 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 26 + -16. Let k(t) = -t**3 + 8*t**2 + 2*t - 14. Let b be k(8). Solve -4*i + b*i + f = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 - 7*m**2 - 7*m - 3. Let g be f(-6). Suppose -5*s + 390 = -4*z, 5*s - g*z - 475 = -80. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 386 * -3\nAnswer: -1158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2839 is divided by 328.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2\/(-8)*(-17)\/(153\/(-30)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (m - 6*m + 3*m)*(-2 - 2 + 5)*(0 - 2 + 5) + (-3 + m + 3)*(3 - 1 - 1) to the form x + y*m and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/5, -1.3, -2\/3, -3\/14, -4 in ascending order.\nAnswer: -4, -1.3, -2\/3, -3\/5, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, -4, 1 in decreasing order.\nAnswer: 22, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -57*t + 58*t = -57*r + 282, -64*r = 3*t - 311 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s - 40 = -5*s - 4*b, 5*s = 4*b + 100. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 3*i = 6, 5*t - 3*t - 2 = i. Solve t = -5*k + 11 + 14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 171 minutes after 1:06 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((-1*sqrt(847))**2*4 + sqrt(847) + sqrt(847)*-1 + 0 - 3*(-2*sqrt(700) + 1)).\nAnswer: -20310 - 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 7add (base 14) in base 4?\nAnswer: 11031303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/(n*n**(-2\/17))*n*(n\/n**(-8\/5))\/n*n)\/(n\/((n**(2\/17)\/n*n)\/n)*(n\/(n\/((n*n\/((n**7*n)\/n))\/n)))\/n) assuming n is positive.\nAnswer: n**(751\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -2.6, -1.6, -4, -5, 7 in descending order.\nAnswer: 7, -1.6, -2.6, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of 0*q**2 + 0*q + 1 + 0*q**5 + 0*q**4 - 1\/2*q**6 + 2\/3*q**3. Find the third derivative of o(c) wrt c.\nAnswer: -180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 994352, 3977432, 8949238, 15909770, 24859028, 35797012, 48723722?\nAnswer: 63639158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7354874?\nAnswer: 2, 31, 313, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y = -0*y. Suppose 2*s - 3*f + 2 = y, -5*s + s = -3*f - 2. What is the third derivative of 5*q**4 + 3*q**2 - 4*q**2 + q**4 + 3*q**s wrt q?\nAnswer: 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.388828 millennia to years.\nAnswer: 9388.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 0, 15, -3, 1\/8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 1186798 = -2171468. Let l = k - -28859317. Suppose -3998949 = 5*s + l. What is s rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -1. Let l be (30\/(-4))\/((-15)\/(-20)). Let x be ((-8)\/l)\/(4\/30). Solve -x*j + n*j = 20 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 34*s + 192 = 82*s. Solve 22 = 5*l - 4*y, -s*l - 1 = 4*y + 3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.078 - 0.11.\nAnswer: -0.188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 18 = 2. Suppose 8*j - r = 3*j. Suppose 0 = -t - 3, 4*p = t - 3*t + 22. What is the remainder when p is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s - g + 7 - 18 = 0, 0 = 3*s - 2*g + 8. Let n = 13 + s. Let m(p) = p**2 - 7*p + 3. Give m(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (-11)\/(-33) - 46\/(-3) and (5\/90)\/(2\/(-284)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -986*q + 970*q - 256 = 0 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 4 + -13 + -13 + (-1 - -10)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x**2 + x + 1. Let m(q) = -q**2 - q + 4. Let r(y) = -2*i(y) + m(y). Solve r(f) = 0 for f.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 4.172513 micrometers?\nAnswer: 0.004172513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let 3*o**3\/10 - 17*o**2\/10 + 11*o\/5 - 4\/5 = 0. Calculate o.\nAnswer: 2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 2*n)*(0*n - n + 2*n) + 5*n - 5*n + 4*n**2 - n**2 + n - n.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**2 - 18*w + 169. What is b(-23)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3 - ((0 - -1) + 2 + -5). Let x be (-1)\/4*(-12)\/p. Which is the biggest value? (a) x (b) 1\/2 (c) -5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -2\/17, -0.3, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 256*b**2 + 73*b + 147. Does 7 divide w(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*y - 3*y + 2*y - 21*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 31*c - 221. What is y(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 34.04 + -35.04. Which is smaller: o or 0.715?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3\/1573 + -239\/1573. Let o(g) = g**3 + g**2 - 22. Let q be o(0). Which is the nearest to -0.1? (a) 0 (b) q (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*y = -56*y + 86*y - 208 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 30590392511*s + 20*s**2 - 30590392511*s.\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -36, 2, 8, -9 in decreasing order.\nAnswer: 8, 4, 2, -9, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 - -3. Let n = -520\/9 - -58. Let g = 5\/18 + n. Which is the closest to g? (a) 0.1 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 367311 greater than 367312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4957 = 2*y - 2177. What is y rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 1\/(1 + 64\/(-68)). Suppose a + 52 = 3*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*j = -j. Solve j = -0*p - 8*p - 32 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 110*g**2 - 100*g + 99. Give m(1).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:20 PM and 12:43 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6437 divided by 34372.\nAnswer: -6437\/34372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) be the first derivative of 1604*g**6\/3 + 115*g**2 + 5*g - 3862. Find the second derivative of u(h) wrt h.\nAnswer: 64160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 29723 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 2*c - 4. Let u(f) = 9*f - 15. Let p be 42\/49*(-84)\/(-18). What is p*u(l) - 15*x(l)?\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1548 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -664470*0.43.\nAnswer: -285722.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3823 - 3581765?\nAnswer: -3585588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34*s + 166 = 49*s. Let u be (-2)\/(-7) + 26\/(-42). Which is the third biggest value? (a) u (b) s (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7\/3 + 8\/3. Let i = -13 + 8. Which is the closest to t? (a) 3 (b) 4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 353350 by 9550.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q be (2\/(-1))\/(-6) + 16\/6. Suppose -13*h + 11*h + 4*p = 88, 2*h = -2*p - 118. Sort q, -1, h, -4 in decreasing order.\nAnswer: q, -1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -7 + (-5)\/(25\/(-35)). Let r(l) = -l + 2. Give r(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5.97 + -6. Let k = j + 4.03. Let b(g) = g**3 - 8*g**2 + 44. Let r be b(7). What is the biggest value in k, r, 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -9*8\/(-546) + (-8)\/(-52). What is the smallest value in r, -2\/3, -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -205 + 656. Round g to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 173*n**2 - 4*n - 30. Let o be i(-4). Suppose 0*q - o = -5*q - z, -2*q + 1103 = -z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -478, -500, -548, -634, -770?\n\"Answer: -2*r**3 - r**2 - 5*r - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(1*sqrt(76) + sqrt(76) - sqrt(76))*4)\/((sqrt(4) + sqrt(16)\/sqrt(4) - sqrt(4))*-4*-2))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1262805.448 rounded to the nearest 1000?\nAnswer: -1263000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -257189854 - -317?\nAnswer: -257189537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -75, -360, -853, -1554, -2463, -3580?\n\"Answer: -104*d**2 + 27*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = -40 + 247. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.01, -3\/7, -139\/2, -19 in descending order.\nAnswer: 0.01, -3\/7, -19, -139\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -2 - ((-4)\/(-4) + -93)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26 and 274521.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 132 - 108. Suppose -f*w - 1928 = -32*w. Suppose -2*u + m = -w, 3*u - 4*m - 372 = m. Is 36 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qv when two letters picked without replacement from {q: 1, x: 18, v: 1}?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14.4 - 91.6. Let m = 105.9897 + q. What is m rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = -1 - 2 - 2 + 26 + l. Let x be r(-17). Let j(c) = 9*c**2 - 2*c. Let t be j(-2). Calculate the highest common divisor of x and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -89100 to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 48647, 389200, 1313557, 3113618, 6081283, 10508452?\n\"Answer: 48650*x**3 + 2*x**2 - 3*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*a**5 + 8*a**2*b*h + 61*a*b*h + h wrt a?\nAnswer: 60*a**3 + 16*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - 4 = -p. Suppose 0*n + 5*n = 65. Put n, p, 5 in ascending order.\nAnswer: p, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0889245 rounded to three decimal places?\nAnswer: 0.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 33049, 134585, 303811, 540727?\nAnswer: 845333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1075?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 1.35261 to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 599b (base 12) to base 10\nAnswer: 10055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -2\/7 or 371099?\nAnswer: 371099","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in -181, -349, -499, -625, -721, -781, -799?\nAnswer: -769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 89\/198 and 157\/58080?\nAnswer: 174240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 125 = 6*b - 7. Suppose -4*w + 16 = -2*w + y, b = 3*w + y. Is 0 + 224 + -7 + w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ii when two letters picked without replacement from kkkkkkkkiiki?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/55 in -245\/4, 0.5, -0.06, 400?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 3*u - 552 = 0. Let z = 577 + -540. What is the remainder when u is divided by z?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((c**9\/c)\/c)\/c)\/(c*c\/(c*c\/(c\/(c\/c**(-12))*c)*c)*c))\/((c*c**(4\/9)\/c)\/((c*c\/(c**(2\/29)\/c))\/c*c*c*c)) assuming c is positive.\nAnswer: c**(5608\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1131346*c**3*v**2 + 2*c**3*v + 2*c**3 - 2*c**2*v + 4*c*v - v**2 - 13960*v wrt v.\nAnswer: 2262692*c**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 1 = k. Let n(f) = -1. Let o(c) = 6*c - 7. Let t(x) = -6*n(x) + o(x). What is the units digit of t(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -16281*j**4 - j**3 + 35*j**2 + j + 5441368 wrt j?\nAnswer: -195372*j**2 - 6*j + 70","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -45 - -48. Suppose 4*s = -0*s - 4. Let q = 0.05 - 0.15. Which is the nearest to s? (a) 4 (b) q (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 33*b**2 - 1. Suppose -2*a - 8 = -2*n, -6*a + 19 = -2*a + 3*n. Let y be v(a). Suppose -w + y = w. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 42 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -97.\nAnswer: -2\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = -66 - -106. Suppose -9*l + v = l. Suppose -j + l*h + 318 = -h, j + 4*h = 273. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/(-2*4\/40). Suppose -8 = -5*b + 12. Suppose b*u = -u + r. Solve -4*h = -u*s - 3*h, 1 = 2*s - h for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-13)\/y**(-21)*(y**(-1\/9)*y*y)\/y*y*y**(-1\/15))**(-2\/25) assuming y is positive.\nAnswer: y**(-884\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 104891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 4140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 - 15*g - 23. Let l be s(-13). Solve -5*w - 6*b + 25 = -3*b, l*b = -3*w + 21 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 160623.6818 - 158019.68. Let y = h + -2581. Let u = 23 - y. Round u to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -29 and 1424.\nAnswer: -41296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = -142 + 139. Put 5, 8, h in decreasing order.\nAnswer: 8, 5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**5*t)**(-23) assuming t is positive.\nAnswer: t**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-5) + (-7)\/(-5). Let q(u) = -1 + 2*u**2 + g. Let t(s) be the second derivative of s**4\/4 + 2*s. Determine t(q(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 1357109251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 161*d + 33. What is the hundreds digit of x(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -259*l + 27525 = 517*l - 12707 - 48232 for l.\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cl when two letters picked without replacement from {c: 14, l: 4}?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -4, -2, 7\/4, -0.5 in increasing order.\nAnswer: -4, -2, -0.5, -2\/5, 7\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from votvtoovzqlvtvl. What is prob of picking 1 t and 1 v?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -2*m**2\/3 + 190*m\/3 - 1300 = 0. Calculate m.\nAnswer: 30, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:03 PM and 5:58 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x + 11. Let f be r(-14). Let g be 8 + (-4)\/(1 - f). Suppose -203 - 21 = -4*a. Calculate the greatest common factor of a and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0*w - 5 - 2*w**3 - 16*w - 10*w**2 + 0*w**3 - 3.\nAnswer: -2*(w + 1)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1335, -4532, -9859, -17316, -26903?\n\"Answer: -1065*l**2 - 2*l - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 38.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find k such that -k**2\/6 - 3*k\/2 - 10\/3 = 0.\nAnswer: -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7344) - (sqrt(7344)*-2 - sqrt(7344)) - sqrt(7344))\/(sqrt(27)\/(sqrt(36)\/sqrt(4))))**2.\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - (-44)\/(-8))\/((-105)\/20).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 238260?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (18\/180)\/(1\/((-620)\/(-16))*-24) and -25\/2816.\nAnswer: 8448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -83 - -1?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0.274191 litres in millilitres?\nAnswer: 274.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in twenty-one fifths of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 79329701*g**2 + 154572452 with respect to g.\nAnswer: 158659402*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 16 + 2. Let w(q) be the first derivative of -q**4\/4 - 4*q**3\/3 - 2*q**2 - 4*q + 1. Let u be w(-4). Calculate the highest common factor of u and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-2 + sqrt(3) + -4) + 1 + 0 + sqrt(3)*-3.\nAnswer: -8*sqrt(3) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 17851, 37460, 57069, 76678, 96287?\n\"Answer: 19609*y - 1758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -109, -108, -97, -70, -21?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 14702172 * -0.3.\nAnswer: -4410651.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.2 (b) 40\/53 (c) 2\/9 (d) -3\/7 (e) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 13*v**3 + 11*v**2 + 6. Let o(g) = 1. Calculate f(i) - 6*o(i).\nAnswer: 13*i**3 + 11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*d + 0*d - d - d - 2 + 2 + 3*d - d - d + (3 + d - 3)*(1 + 1 + 0) - 3*d - d + 3*d)*(0 - 1 + 3).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1\/58 + -63\/290. Suppose -r + 2 = -0*r. Let t be 18\/(-12) + 3\/r. Which is the smallest value? (a) 0.4 (b) t (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) be the third derivative of -p**7\/21 + 5*p**4\/12 + 9*p**2. What is the second derivative of j(x) wrt x?\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4692 - -4706. Sort -2, o, 1, -3 in decreasing order.\nAnswer: o, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1883572 - 0?\nAnswer: 1883572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*f + 0*f**2 + 8 - 2*f**2 - 4*f**3 + f**2 + 2*f**4 - 12 to x*f + r*f**4 + t + s*f**2 + d*f**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4 - 2*t**2 + 10*t + 1 - 2 - 5 to the form k*t + b*t**2 + g and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose m - 32 = 14. Let r = m - 9. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.046*-169.8724\nAnswer: 7.8141304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 36, 11, -104, -3.\nAnswer: -104, -3, 9, 11, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the third derivative of 1\/24*s**4 + 0 + 0*s - 4*s**2 - 1\/60*s**5 + 23\/3*s**3. What is the units digit of b(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -6 - 1*(-1 - 5). Solve a = -6*z - 1 - 11 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1011030302 (base 4) to base 9.\nAnswer: -471725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(363) + 1)*2)**2.\nAnswer: 88*sqrt(3) + 1456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -75923683702 from 0.1.\nAnswer: 75923683702.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*m + 260 = -3*m. Let s = m + -31. Suppose -2*l + 3*i - i = -18, 0 = 4*l - 2*i - s. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 930850.1 litres in millilitres?\nAnswer: 930850100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 93548130359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 3 = 17. Suppose v - 3*v - z = -4*o, -5*v + 46 = 4*o. Solve 3*c = 4*g + 4, 0 = c - 5*g + v for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 82 - 211. Let p = s + 129.5. Which is the second smallest value? (a) 1\/4 (b) -0.6 (c) -1 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 360 and 1732140.\nAnswer: 3464280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 83782.\nAnswer: -1\/83782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 99\/60050 and 88\/75.\nAnswer: 180150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*c = 27*c + 150. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*y - 45 = 23*y. Calculate the lowest common multiple of y and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8, -162, -632, -1592, -3216, -5678?\nAnswer: -9152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -30 + 622. Suppose -5*y - 4*n + 359 = -b, 4*y + n - 535 = 0. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jwbbwgw. Give prob of sequence gww.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1627293419?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 112*m**2 + 16*m - 47. Let q be a(4). Let n = -550 + q. List the prime factors of n.\nAnswer: 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 - 10*x + 10. Let w(p) = -6*p**2 + 1 + 0*p**3 + 0*p**2 - 10*p**3 + 5*p**2. Calculate the least common multiple of w(-1) and v(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1461827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -347*q + 4*r - 12 = -346*q, 4*r = -5*q - 12 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = -10*p - 357. Let f(z) = -13*z - 459. Let l(x) = -9*a(x) + 7*f(x). Let h(b) = -8595*b**2. Determine l(h(o)).\nAnswer: 8595*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13992357964*l + 13992357964*l - 130*l**3.\nAnswer: -130*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.147 * -0.8.\nAnswer: -0.1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 1.551046411 to two decimal places.\nAnswer: 1.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 224 + 37?\nAnswer: 25b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 41*f**3 + 5*f**2 + 7*f - 4. Let o(x) = -31*x**3 - 5*x**2 - 6*x + 3. What is -5*j(w) - 6*o(w)?\nAnswer: -19*w**3 + 5*w**2 + w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0 and -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) be the second derivative of 4*l**7\/273 - 17*l**6\/195 + 12*l**5\/65 - l**4\/6 + 2*l**3\/39 - 22*l. Solve v(o) = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 131189*c**5 + 181544*c**2?\nAnswer: 7871340*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -486 less than -0.3?\nAnswer: 485.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 71*q = -74*q + 9, 0 = 4*s + 3*q - 18. Let z(a) = a - 4. Let w = 3 - -6. Let c be z(w). Solve -s = -c*h - 13 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12176773.\nAnswer: 7, 1739539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -ee + 1?\nAnswer: -ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 5:38 PM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t = 5*j + 1, 0 = -5*t + 3*j + 2*j + 10 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (y + 3*y - 3*y)*(-8 - 36 - 14) + 0*y + 0*y - y - 7 + y + 2 - 1.\nAnswer: -58*y - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17213087 is divided by 67?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -192*d = -5*w - 197*d + 30, 4*w - 3*d - 10 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -1690*a - 48909. Determine y(-29).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xxxx when four letters picked without replacement from {x: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11 - -29. Calculate the least common multiple of 10 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 z when two letters picked without replacement from {j: 3, n: 1, z: 5, u: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 467 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 67 and 99227?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 142837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 71*q = 73*q + 2. Calculate the remainder when 388 is divided by q\/(-2) - 1 - (-270)\/20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 - i - 1. Let h be c(6). Let q = h + 76. Let m = -72 + q. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -125 * -62.\nAnswer: 7750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -130, 5, 0, -2, 2, 1 in decreasing order.\nAnswer: 5, 2, 1, 0, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5)\/(-3 + (-40)\/(-15)). Let h = -1011 + 1010.8. What is the biggest value in 0.5, -5, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -f + 11. Let g be l(9). Solve 4*k + w = -3, -6*w = 5*k - g*w + 12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 - 0*(-1)\/(-2). Suppose -3*o + 10 = 5*v - 6*v, -2*v - 2*o = -20. Suppose -s + 3*s = 2*i - 10, 3*i + s = -v. Solve 6 = -c*h - i for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -955c (base 15) in base 3?\nAnswer: -1121022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6)\/(-20)*(-18)\/27*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/3 not equal to 0.1875?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 443969007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3934 + -3869. Calculate the least common multiple of z and 1130.\nAnswer: 14690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 313 = -53. Let h be ((-2)\/(-25))\/(10\/q). Let v = h + -2\/125. Sort v, 5, 0.3.\nAnswer: 0.3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 451339 and 7852.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -g + 1. Let c be w(6). Let i = -53 + 52. Let z = i - c. Solve -z - 1 = -a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6 + -2 - (10 - 4 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - 8 = -33. Let c(o) = 2*o**3 + 11*o**2 + 1. Let z(j) = -3*j**3 - 11*j**2 - j - 1. Let l(i) = -5*c(i) - 4*z(i). Let a be l(h). Is a < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 + 3*g + 3. Let j be p(-2). Let u(q) = -q**3 - 7*q**2 - q - 7. Let s be u(j). Let r be 1\/((-3)\/(-6) - s). Solve -2 = m + r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 822395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - -2. Suppose 28 = -j*b + 7*b + 3*x, -3*x + 21 = 3*b. Let u = 91 - 84. Is u at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2473?\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - -1 - 4 - (-2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 3969480004 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 169985378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is h in -98*h**2 - 86*h + 96 - 66*h**2 - 314*h + 12*h**2 + 36*h**3 = 0?\nAnswer: -2, 2\/9, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 143 + 37 = 5*i. Let j = -29 - -5. Let k = j + i. Calculate the least common multiple of k and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -32.7304 to 0 dps.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2*(-2 + 3) - -307. Let i be (-4)\/14 + r\/(-35). Let m = 5 - i. What is the remainder when m is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5 and 23.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21)\/(4*(sqrt(42)\/sqrt(6) + sqrt(7)) + sqrt(7)) + sqrt(27)\/(sqrt(18)\/sqrt(2)*-3))*-5.\nAnswer: 10*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the third derivative of -s**5\/40 + s**4\/3 - 3*s**3 + 51*s**2. Let b(w) be the first derivative of y(w). Determine b(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -329*y + 335*y + 483 = 3*r, -r - 420 = 5*y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -31 + 33. Let j be -9 + 5 + t*57. Suppose 44 = -2*p + 3*p. What is the greatest common divisor of j and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000135153 rounded to 7 decimal places?\nAnswer: -0.0000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*y - 74 + 108 - 57 = 0. What is the fourth biggest value in y, -4\/5, 0.064, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 121 (base 7) in base 11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (((-434)\/(-31))\/(-42))\/((-2)\/((-24)\/26))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 plus -2910.11176?\nAnswer: -2909.91176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 101 - -111.375835394?\nAnswer: 212.375835394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 1620*p**3 + 6*p**2 + 5*p - 32. Is i(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -58 + 64. Let m(g) = -11*g - 1. Let h(o) = -5*o. Let r(n) = -9*h(n) + 4*m(n). Let v(i) = 1. Determine x*v(f) + r(f).\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -12 + 15. Suppose -3*j - 3*i + 381 = 0, w*i + 0*i = 5*j - 635. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 29 - (-655 - -627).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from ixqaiuw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3239907257*n**2 - 3239907257*n**2 + 956*n**3.\nAnswer: 956*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than -4\/5757?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:52 AM and 3:21 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74078398 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v. Let p = -3 - -4. Let f(c) = -4 - c**2 - p - 56. Determine f(w(b)).\nAnswer: -b**2 - 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 - 3211*k**2 + 71149*k - 502. Calculate n(22).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*sqrt(171)\/(sqrt(9) + sqrt(9)*2)*6.\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of -58*(-6 - (-13)\/((-104)\/12)) and 70.\nAnswer: 6090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -272 * -2475\nAnswer: 673200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 54\/5 of a microgram?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = -m, -l + 43 - 40 = -m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -3*-0.104\nAnswer: 0.312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 15*c + 116. Let q be d(-7). Solve 0 = -3*y + h + 4, -11 = -4*y - 2*h + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/8 + (-25)\/132. Suppose 0 = -v - 9*v + 2*v. Suppose 0 = -d + 3*z + z - 3, v = -2*d + 3*z - 6. What is the smallest value in 0.5, y, d, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3319407 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 5776269673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01552 rounded to 3 dps?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 210800 and 544?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.1 - 0.6. Let l = -3.5 - b. Is 3 at most l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1782 divided by 162.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1751 and 901.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-14)*i)\/i)\/(i**(2\/17)*i))\/((i\/(((i\/((i\/(i**(3\/8)*i))\/i))\/i)\/i))\/i**(-18)) assuming i is positive.\nAnswer: i**(-4589\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 13804*b**4 + 10923 wrt b.\nAnswer: 55216*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 + 15*g**2 + 18*g - 31. Let a be (5 + (-1 - 12))*-2. Let x be u(a). Solve -2 = 3*w + x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m + 16, 0 = -3*k + 3*m + 311 + 2257. What are the prime factors of k?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 307294*y + 112052*y - 119305*y - 1.\nAnswer: 300041*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 + -2 + 1)\/((-27)\/(-27)). Is (a\/(-1))\/((-156)\/(-153) - 1) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:27 AM and 6:05 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:23 PM and 5:59 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 531335 = 2*f + 149883, 3*f + 3*h - 572196 = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 3*s + 6. Let m = 0 + s. Suppose 0 = 5*c - 4*h - 1697, m*c + 5*h - 250 = 1465. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2\/11197 + 7983471\/55985. Let u = b - 141. Sort u, -4, 0.2 in increasing order.\nAnswer: -4, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -38\/5, -2\/17, -5, -1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 5*z**2 + 6*z. Let a(x) = 2*x**2 + 4*x - 4. Let l(r) = r**2 + 3*r - 3. Let b(j) = 3*a(j) - 4*l(j). Give k(b(g)).\nAnswer: 20*g**4 + 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -92.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 53.3*40456.\nAnswer: 2156304.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = j**3. Let q(w) = 8*w**3 + 5*w**2 - 4. Let n(l) = l**3 + 13*l**2 - 59*l - 175. Let a be n(-16). Determine a*q(z) - 6*p(z).\nAnswer: 2*z**3 + 5*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33*f - 138 = -13*f. Is 16 a factor of (60\/21)\/(-6*f\/(-3339))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*s = -51*s - 1. Is -1\/5 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -81*f + 78*f - 2 = -x, -5*f + 5*x = 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*f = 24*f + 10. Suppose -3*t + 5*h + 16 = 0, 0 = -t + f*t - 3*h - 25. List the prime factors of t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -19309740000 rounded to the nearest one million?\nAnswer: -19310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 9 - 2 = 3*w, -2*w = 3*i. Put w, -1, -5 in descending order.\nAnswer: -1, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 11050 by -17.\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 4321645 divided by 4321645?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8727 is divided by 118?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + 7 + -11 - (10 + 7 + -27).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*d**2 + 1540*d + 28*d**2 + 2154*d.\nAnswer: -d**2 + 3694*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 160 + -41. Let w = o - 115. What is the greatest common factor of 3 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 0 + 0)*(-t - 1 + 1) + 3*t - 4*t - 6*t)*(-4*t + 3*t + 2*t + 3*t + 2*t - 4*t + 0 + 2*t + 0 - 6*t + 5*t + 0*t + (5 + 0 - 4)*(0*t + 5*t - 3*t)).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 2, -121, -3, -1 in increasing order.\nAnswer: -121, -3, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 268346?\nAnswer: 2, 13, 10321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -n. Let w(p) = -8 + 2 + 6 + 21*p. Let z(d) = -d. Let x(o) = -6*w(o) - 119*z(o). Calculate x(m(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**2. Let m = 3567 - 3566. Let n(u) = -10*u**2 + 2. Calculate m*n(h) + 5*w(h).\nAnswer: -15*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(1\/2)*p)**(-9\/4)*(p**(-2))**(4\/7))**(-2\/25) assuming p is positive.\nAnswer: p**(253\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 23, 1 in ascending order.\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -397, -1562, -3499, -6202, -9665, -13882?\nAnswer: -18847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 32382 and 53?\nAnswer: 1716246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 591, 589, 585, 579?\n\"Answer: -g**2 + g + 591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 43\/2 of a milligram?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 11343\/40 or 283?\nAnswer: 11343\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = s**3 - 6*s**2 - 197*s + 1592. Give o(10).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(-49)*m*m**(16\/9)\/m*m)**(-18) assuming m is positive.\nAnswer: m**814","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(189)\/sqrt(3))**2 - (sqrt(567))**2).\nAnswer: 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -193*m + 188*m + 115 = 0. Suppose m*u - 27*u + 288 = 0. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 913 is divided by 64?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29*-5.\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 787929?\nAnswer: 3, 262643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 773*o - 509*o - 505*o - 4496*o - 6400*o as c*o + m and give c.\nAnswer: -11137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = g**3 - 5*g**2 + 13*g - 34. Let z be f(4). Solve 3*o - z*h = 8 - 2, 0 = -5*o + 4*h + 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (290\/25)\/((-2)\/(-10)). Let i = 158 - f. Let a = -77 + i. Calculate the remainder when 64 is divided by a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -3.6272 + -0.0828. Let m = 0.71 + g. Let r = -5 + 4.6. Put 0.1, r, m in increasing order.\nAnswer: m, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1 + -2 + (12 - 9). Let s = 0 - -2. Suppose s*f = -d*f + 32. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 5 + 10 = 0. Let v = -535 + 771. Suppose -4*j + 2*l = -3*l - v, -20 = q*l. What is the highest common divisor of j and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.788 rounded to one decimal place?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k + j = -0*j - 14, 0 = -5*k - 2*j - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 624175 + 2?\nAnswer: 624177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 26 and -85009?\nAnswer: -2210234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m + 1. Suppose 6 = -f + 3*u, 5*f - 2*f = 5*u - 6. Suppose 23 = -2*z - 2*z - f*h, 14 = -2*z - 2*h. Give y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l**2 + 11*l + 10. Let z(o) = -o**2 + 12*o + 12. Determine -6*n(k) + 5*z(k).\nAnswer: k**2 - 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange p**3 - 4 + 7 - p**4 - 8 + 2*p**3 to w + r*p**2 + b*p**3 + n*p + j*p**4 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 3761631?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, x: 9, r: 7}. What is prob of picking 1 r and 2 z?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.1, -1375, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7*((-14)\/(-1715))\/(2\/10).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 9\/(-5) + (-39576)\/(-1020). Which is greater: 8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 43.6 - 328.6. Let o = -285 - i. Let h = -0.8 - -1.2. Which is the nearest to 1? (a) h (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 19902 + 31a5a?\nAnswer: 50861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 187626 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*a - 1496 = -3*a + 2*m, -a - 5*m = 503. What is the tens digit of -5 + a\/(-3) + (-6)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(2\/9))**(-47)\/(k\/(k**2\/k))**16 assuming k is positive.\nAnswer: k**(-94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (42 - 49) + 2 + 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}