{"text":"Question: Find the second derivative of 6*c**4 + 4*c + 2*c + c**4 - 25*c wrt c.\nAnswer: 84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -45 by 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 4\/7, 58, -3, -19, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2084, 4210, 6394, 8666, 11056, 13594, 16310, 19234?\n\"Answer: 5*r**3 - r**2 + 2094*r - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -267571 minus 3.2?\nAnswer: -267574.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -u**2 + 7*u - 9. Let h be k(6). Let q = h + 8. Let y(t) = -t + 10. Calculate the remainder when q is divided by y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 46864219229+-14\nAnswer: 46864219215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r = -2*i + 30, -15*i + 15*i + 6*r + 11 - 20 - 23 = 2*r for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b = l + 10 - 2, -l = -3*b + 5. Solve 1 = -l*g - 2*v - 3, -g + v = -5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -248 + 251. Let c be (-18)\/15*(-5)\/2. Let b(s) = -s + 4. Let m be b(c). Let g(a) = -a + 2. Let u(f) = -1. Determine m*g(j) + v*u(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1049, -2106, -3163, -4220, -5277, -6334?\n\"Answer: -1057*s + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a day in hours?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 11911 divided by -6?\nAnswer: -11911\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3\/123124 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 5:01 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1210 - -10122?\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = -170 + 197. Find the first derivative of 5 - 19 + 59*d - 20*d**3 - 3*d**2 - s - 59*d wrt d.\nAnswer: -60*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5.2711866557 plus -0.35?\nAnswer: -5.6211866557","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 95214284?\nAnswer: 2, 11, 1367, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 5 = 5*u + 5*p, 14*u + 4*p - 7 = 11*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1 + 3 + -23 + 25\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14 + 5. Let w = 4\/179 + -943\/2148. Find the common denominator of w and (-2)\/f - 595\/450.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/6, 5, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + f + 2 = 0, 4*t + 11282*f - 8 = 11285*f for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 105393 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 214073?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 4*f, 5*k + 2*f = -2*f + 94. Let n = k + -20. Find the second derivative of -x**2 - 10*x + 2*x**2 + x**2 - x**n wrt x.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 221387761 to the nearest integer?\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p**3 + 15*p**2 - 5*p + 14. Let b be w(-14). Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 3*m**3 + 206*m**2 + 142*m + 441. Determine w(-68).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: ((1\/2)\/(23\/23))\/((-1)\/(-14))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -1197*j**2 + 1197*j**2 + 28*j**3 + (1 + 2*j - 1)*(-j**2 - 5*j**2 + 23*j**2).\nAnswer: 62*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(y) = y**3 - 3*y**2 - 7*y + 2. Let b be g(5). Let x be 2\/(-4)*(b + -21). Solve u - 1 = x*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/8*(-2)\/17*-17.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0.2*-171521\nAnswer: -34304.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -63 = 8*g - 23 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 187 = 567. Let i = q + 166. What are the prime factors of i?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oor when three letters picked without replacement from {o: 2, r: 5, n: 4, a: 2}.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/(-1) + -39 + -1. Let i be ((-32)\/p)\/(18\/5). Which is the second smallest value? (a) i (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -250*a**2 + 223*a - 259031?\nAnswer: -500*a + 223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.073 - -0.173. Let v = 3.256 + -3.256. Which is the nearest to v? (a) 3 (b) u (c) 5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 31\/2090 or -1?\nAnswer: 31\/2090","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 1 t when two letters picked without replacement from {t: 3, r: 4, d: 5, c: 1, i: 1}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 81520970 divided by 16304194?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:11 AM and 11:59 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0 + 3)*(-3*k + 3*k + 2*k) + 123*k + 89 - 251*k + 122*k.\nAnswer: -8*k + 89","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -267456, -267448, -267440, -267432, -267424, -267416?\nAnswer: -267408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -o**2 + 8*o - 21. Calculate h(9).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 21940 and 109700.\nAnswer: 109700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 16956 and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vdvvhuddvkvhhz. What is prob of picking 1 v and 1 u?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 221312186?\nAnswer: 2, 59, 103, 131, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*f - 6*f - 4*f**2)*(4*f**3 + 2*f**3 + 2*f**3).\nAnswer: -32*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*z**3 - 13*z**3 + 20*z**3 + 85*z**3 + 34*z - 34*z.\nAnswer: 121*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4 - -8. Let k = -4 + i. Let w be 5*(-52)\/(-44) - 6. Which is the closest to w? (a) -2 (b) 2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 22 - 17 = -q, -5*q - 5*d + 75 = 0. Let n = 28 - q. Let j(o) = -n*o + 10*o - 10*o. Let p(u) = -2*u. Determine p(j(i)).\nAnswer: 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand z**4 + 0*z**4 - 5*z**4 - 2*z**4 + 4*z**4 - z**4 + (4 - z**2 - 4)*(-5*z**2 + 0*z**2 + 3*z**2) + 5*z**4 - 2*z**4 - z**4.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -4*l**3 + 8 - 6 - 6*l**2 + 7 + 3*l + 3*l**3. Give p(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes before 6:37 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 1 + 3)*(285895*l - 5 - 285925*l - 26) in the form o*l + n and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + sqrt(35)\/(5*sqrt(7)*-1).\nAnswer: -1 - sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -423, -425, -427, -429, -431, -433?\nAnswer: -435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*w + 25*w + 32*w = 115*w - 4*k + 190, w + 113 = 5*k for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, k: 1, u: 2, v: 3, j: 3}. What is prob of picking 1 v and 1 k?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(5\/3))**(-13)\/(c**(2\/5))**(3\/17))**(-1\/3) assuming c is positive.\nAnswer: c**(5543\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 7 - 12*l - 5*l + 7*l**2 + 17*l - 6*l. Suppose 3 + 64 = g. What is the remainder when g is divided by k(2)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*m = 44*m + 3*l - 39, 596 = -23*m + 5*l for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (s - 3*s - 24 + 7)*(-1 + 24 - 18 - 5 + 2803*s) as n*s + o*s**2 + r and give n.\nAnswer: -47651","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r - 4*d + 20 + 44 = 0, -2*r + 12 = 5*d. Suppose 0 = z + 3*n + 2*n + 2, -z + 2*n = r. What is the tens digit of 56\/6 + z\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3)\/3 + (14 - 3). Let l be u\/12*4\/5. Suppose -1\/3*h**3 + 0 + l*h**2 - 1\/3*h = 0. What is h?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -304*a**2 - 310*a**2 + 1030*a**2 - 104*a**2 - 311*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -1592 divided by 796\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 957*z**3 + 1366*z + 1?\nAnswer: 5742*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(121) - -1*sqrt(121))*3)\/(sqrt(33)\/sqrt(3)*-2)*-4)**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 118*w**2\/5 - 358*w\/5 + 12\/5 = 0. Calculate w.\nAnswer: 2\/59, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 303 and 2981419?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/((-4)\/(-32)*-6). Let w = 1.95 + 0.05. What is the closest to -1\/3 in i, -3, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**3 + 6*w**2 + 5*w + 2. Let v be k(6). Let n be 1 + 2 - v\/2. Let m be (-256)\/(-26) - 2\/n. Solve 0 = -3*x - 4 + m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-58)\/(-5) + 2\/5. Let s = 46 - 44. Solve -i = -s*m + 3*x, -2*m + 4*x + 13 = -3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 7*z - 80 = 0. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*t + 4*t. Let q(p) = -p - 1. Let x(c) = 5*c + 12. Let d(y) = 4*q(y) + x(y). Give d(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*d + 8, -5*f + 7 + 9 = -d for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -z**3 - 5*z**2 + 2*z + 10. Let q be i(-5). Suppose 4*g = -2*v + 1054, -g + q*v - 2*v + 262 = 0. Calculate the greatest common factor of g and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 557, 1104, 1651, 2198, 2745, 3292?\nAnswer: 3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - -1 - (3 - -1)) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i + 10 + 14 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 38 divided by -3442494.\nAnswer: -19\/1721247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -1043, -1013 in descending order.\nAnswer: -1, -1013, -1043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = f**3 + 2*f**2 + 2*f. Let b(a) = -3*a**3 - 4*a**2 + 23*a - 54. Let n(c) = 3*b(c) + 6*h(c). Factor n(w).\nAnswer: -3*(w - 3)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15278 - -15279. Put f, -8, 2\/5, -2.2, 4\/5 in increasing order.\nAnswer: -8, -2.2, 2\/5, 4\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-8)\/(-28))\/(3\/21). Solve l = -j - x, -6*j + 16 = 4*l - 8*j for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 73901727 to the power of 1\/3, to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 56697.7 millennia in centuries?\nAnswer: 566977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.2 (b) 0.3 (c) 4 (d) 1 (e) -1\/1025 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 43187?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1714.3 - -250.3. Let b = c - -1464.00001247. Round b to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:14 PM and 1:11 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 3348 and 90.\nAnswer: 16740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-81 + 26598\/330)*55.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 + 3 + 10 + -2 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*t - 4*u, -3*u + 96 - 145 = 5*t. Let c(v) = -3*v**2 - 3*v - 3. Let r be c(3). Sort 0, 3, t, r in ascending order.\nAnswer: r, t, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 54026402.1 and 0.235264?\nAnswer: 54026401.864736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 51038 and 2704.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is n in 4*n**3\/3 - 22*n**2\/3 + 4*n\/3 + 10 = 0?\nAnswer: -1, 3\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out -59347674 - 4.\nAnswer: -59347678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(sqrt(5) - (sqrt(245) - (sqrt(245) + -4))).\nAnswer: -6*sqrt(5) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134*g**2 - 72*g**2 - 60*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1718, -1764, -1840, -1952, -2106?\nAnswer: -2308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 105 and 1047.\nAnswer: 36645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 101363 is divided by 33213.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 4673627 a multiple of 511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**5\/7 + 186*x**4\/7 - 4416*x**3\/7 + 4232*x**2\/7.\nAnswer: -2*x**2*(x - 46)**2*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = 7*h - 28. Solve -r + h - 24 = 3*l, r = 5*l + 23 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the second derivative of -47*v**3\/6 - 29*v. Let w(s) be the first derivative of -4*s**3\/3 - 23. Calculate w(i(g)).\nAnswer: -8836*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 45*i**2 + 240*i + 146. Is c(51) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(85) - sqrt(85))*1 - sqrt(85))\/sqrt(5).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 - 44. Let n = g + 89. What are the prime factors of n?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2\/677 - -1348\/2031. What is the biggest value in -9, -8\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -2*1*(-2 + sqrt(18))*2)**2*3*-6.\nAnswer: -5634 + 2160*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2655 and 428635?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -10 - -13. Suppose k - 5*k - 16 = 0. Sort 0, i, k in descending order.\nAnswer: i, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 247*d - 66*d = -42*d + 88*d - 6480 for d.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 667\/15 - 140\/3. Let c(t) = -t**2 - 6*t + 6. Let g be c(-7). Which is smaller: g or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -2*s**2 - 40*s + 2. Let p be m(-20). Solve -p*b - 3*b + 15 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -251, -508, -765, -1022, -1279, -1536?\nAnswer: -1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**3 - 12*t**2 - 9*t + 24. Let l be a(-11). What is the derivative of 703*j**l + 6*j + 19*j + 712*j**2 - 1411*j**2 + 115 wrt j?\nAnswer: 8*j + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:09 PM and 12:51 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -20*k**4 + 3*k**3 - 3*k**2 + k. Let i(t) = 59*t**4 - 8*t**3 + 8*t**2 - 2*t. Let r(u) = -3*i(u) - 8*x(u). What is the second derivative of r(m) wrt m?\nAnswer: -204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 122507 and 4389?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4740 or -4764?\nAnswer: -4764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 89 - 67 - 1325*z - 22 - 4 + 4 + z + (-6 + 4 + 4)*(-2*z + 1 - 1).\nAnswer: -1328*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 19, -4, 6, -2, -31934 in decreasing order.\nAnswer: 19, 6, -2, -4, -31934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + -5. Suppose i*c = 5 + 4. Let a(b) = -b**c - 10 + b - b**2 - 9 + 23. Determine a(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1252587 = 3*v - 215313. Round v to the nearest 10000.\nAnswer: 490000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (400\/40)\/(20\/(-5))*(-4)\/(-1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-18*(-15)\/810)\/(5\/6). Let i = 593\/2 - 303. Which is the second smallest value? (a) -1 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 995504?\nAnswer: 2, 62219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1000)\/(-1*4\/10000). Round a to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10032 + -11162.2. What is d rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t. Let m(h) be the second derivative of h**4\/4 - 6*h. Give m(a(k)).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-630))\/((-6)\/84) + ((-384)\/90 - 23)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 93488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 71398060399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 3*n + 3 = 0, -6*n + 4*n = -3*o - 12. Let x(c) = -5*c + 1. Give x(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7393236751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (0 - (-30)\/(-25)) + (-4)\/(-2). Let y(b) be the first derivative of 4\/3*b**3 - b**2 + 1\/3*b**6 + 0*b**4 - 3 + 0*b - r*b**5. Solve y(t) = 0 for t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -1. Let p(t) = t - 49. Calculate -3*a(s) - p(s).\nAnswer: -s + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/(-9) - 1\/(-3). Let d = -2.5 + -3. Let q = d + 6. Which is the closest to -1? (a) f (b) q (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3227865392?\nAnswer: 2, 151, 1336037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 35423, 141145, 317361, 564071, 881275, 1268973?\nAnswer: 1727165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -7 - -20. Let g be h\/4 - (-10)\/(-40). Suppose g*r = -s + 9, s = 2*r - 2 - 4. Solve o = -4, s = 2*x - 5*o - 11 - 17 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 48, 83, 118, 153?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h**2 - 3*h + 3*h)*(2 - 2 + 2*h) + 217*h**3 + 59129*h - 59129*h.\nAnswer: 215*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 780844 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -11*m**3 + 5*m**2 - 5*m - 4. Let y(h) = -12*h**3 + 6*h**2 - 6*h - 5. What is 6*g(s) - 5*y(s)?\nAnswer: -6*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * 3962.\nAnswer: 15848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 573 minutes after 1:36 AM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -31*y**3 + 34*y**3 + 6*y**2 + y**2 wrt y?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2983? (a) -2 (b) -0.3 (c) -5 (d) 0.5 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k = -k - 4*r - 12, 0 = -2*k - r + 10. Let c = 4 + -3. Let h = c - 2. Put -4, h, k in descending order.\nAnswer: k, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -3143550 divided by 5\nAnswer: -628710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*c + 86 = 4*z, -14*c + 11*c + 4*z = -19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-30)\/(-9) + 5\/(-15). Solve 0 = 3*k + 4*u - 17 - 3, -q*k - u = -5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -2 by -68098035.\nAnswer: 2\/68098035","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u + 10. Let k be j(-7). Let l(r) be the first derivative of 0*r**k + 0*r**2 + 0*r + 1\/14*r**4 + 2. Factor l(p).\nAnswer: 2*p**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -127*s + 25*s + 90*s + 76*s + 1536 = 0 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(15)\/(-4*(sqrt(5) + (sqrt(5) - -1*sqrt(5)))) + -5.\nAnswer: -5 - sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -g**2 - 23*g - 153. Let f be v(-19). Sort -3, 1, f in descending order.\nAnswer: 1, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -68, -126, -202, -296?\n\"Answer: -9*w**2 - 31*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.95 - 17.95. Which is the second smallest value? (a) 0 (b) i (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.014, 0.3, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -92*u + 94*u + 36*u = 1399236. List the prime factors of u.\nAnswer: 2, 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -20*h**2 - 18*h - 7. Give d(-3).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 392 = 3*q. Let u be ((-10)\/7)\/(8\/q). Let 44*n**3 + 2*n**5 + 2 + 20*n**2 + 46*n**3 + 10*n - 108*n**3 + 38*n**3 + u*n**4 = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6769 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 217644845, 217644841, 217644837, 217644833, 217644829?\n\"Answer: -4*r + 217644849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-37)\/333)\/(1\/3). Which is the nearest to 2\/3? (a) 0.3 (b) t (c) 153\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 980 and -10?\nAnswer: -9800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = -6*s - 15. Let i = 5 - s. What is the greatest common divisor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 7)*(8*w - w + 0*w).\nAnswer: -49*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = d + 1. Let x = 5 - 3. Suppose 5*l - x*l - 12 = 0. What is the units digit of i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -5*w + 56. Is 7 a factor of ((-4)\/2)\/(w\/(-180))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1732860 - -467140. Round i to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/189510 and -68\/2625.\nAnswer: 33164250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 39 minutes before 8:54 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that j**4\/7 + 62*j**3\/7 + 893*j**2\/7 - 320*j - 3072\/7 = 0.\nAnswer: -32, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (9 - (10 + -6 + 2) - -2) + -16?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyyyyyy. What is prob of sequence yyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2562\/(-14))\/(8\/4*18\/(-12)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*s - 6*s + 990. What is s rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 91 - 89. Let i(x) = x + 63*x**k - 2 + 2 - 62*x**2. Let f(d) = -2*d**3 - 12*d**2 - 12*d. Calculate -f(v) - 12*i(v).\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f = 21 - 34. Let r = 89.8 - 89.8. What is the closest to r in -3\/7, f, 1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -936, -3775, -8506, -15129, -23644?\nAnswer: -34051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 5089493233?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 432\/3*((-63)\/945)\/((-2)\/5)*-2?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 94143347 - 6109944 = -r. Let l = -46905857 - r. Suppose 4*w = -16072454 - l. What is w rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 7.943093 hours?\nAnswer: 28595134.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -6 less than 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 29289495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 0.423896688 to four decimal places.\nAnswer: 0.4239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -14*m**2 + 140*m - 3. Let t(s) = -22*s**2 + 141*s - 2. Determine -3*t(d) + 2*z(d).\nAnswer: 38*d**2 - 143*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-28)\/(5292\/(-96147)) - 2\/(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -223491*c + 1340929. What is k(6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 151 + -148. Solve 2*d - 14 = -g*b, 5 + 17 = 2*d + 5*b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = x - 40, -2*x - 1 = v - 0. Let a(g) = -23*g - 5*g**2 - v*g**2 - g**3 - 6 + 5*g. What is the units digit of a(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -7, -26, -740 in decreasing order.\nAnswer: 5, -7, -26, -740","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-6)\/4)\/((-18)\/24*1). Let w be 2*1*(h + -52 + 10). Which is greater: -81 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -966*l = -843*l - 3936 for l.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.6 and 20522791.\nAnswer: -32836465.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.48 and -2061014.\nAnswer: -989286.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.155789483 rounded to five decimal places?\nAnswer: -0.15579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r be 7\/4 + 3\/12. Suppose -4*u - 3 = -u - 5*s, -r*s - 2 = 2*u. Sort 2, u, -2 in ascending order.\nAnswer: -2, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y + 13 = a, y + 16 = -0*a + 4*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 202974.8ms in microseconds?\nAnswer: 202974800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/(-6 - (-1674)\/282). Let y = 17 - i. What is the biggest value in 18, y, -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 21 = 6*x. Suppose 0 = 3*a - d, -a + 2*d = x*d. Solve a = 3*f + 7 + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.01042 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 66697 or 66705?\nAnswer: 66697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.08906 - 928.88906. Let d = -822 - i. Round d to the nearest integer.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the second derivative of 9\/2*o**2 + 47\/10*o**5 - 1\/6*o**4 + 19\/10*o**6 - 13\/2*o**3 - 6*o + 3\/14*o**7 - 2. Suppose z(a) = 0. Calculate a.\nAnswer: -3, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q - 50*k + 18 = -47*k, 2*k = 5*q + 19 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0045820183 rounded to five dps?\nAnswer: 0.00458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4605562.9 and 4?\nAnswer: 18422251.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/1 + -1*7. Let p = -11 - -6. Let r = p - y. Solve 9 = r*u - 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 876 = -30*q + 103*q. Let n = -3 - -6. Calculate the remainder when q is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(640)*-1)\/(sqrt(18)*-1).\nAnswer: 8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*r = 11*r + 2. Let q be 52 - 52 - r\/11. Suppose -6 = -2*a + 5*w - 0, 4*a = 5*w + 2. What is the biggest value in a, -2\/13, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s**2 + 7*s + 10. Let t be f(7). Let w = -90 + t. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 107, -7, 2, 0 in decreasing order.\nAnswer: 107, 2, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 115 is divided by 94?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 2, x: 1, c: 2, i: 1}. What is prob of sequence icp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-18)\/5 - (-56)\/14. What is the second smallest value in -2, 2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2235.054 to the nearest integer.\nAnswer: -2235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/9*3*(-14)\/308?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 55\/26 + -189\/286. Find the common denominator of b and 38\/61.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 140 and 627970.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1453847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) be the first derivative of -x**5\/20 + x**4\/3 + 13*x + 7. Let o(d) be the first derivative of g(d). What is the third derivative of o(b) wrt b?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 234\/4*60\/540. Let d(t) be the first derivative of 0*t - u*t**2 - 8. Let q(v) = -2*v. Determine q(d(b)).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 12044287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.142876 millennia to centuries.\nAnswer: 41.42876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**2 - 5*l - 5. Let h be q(6). Let b(d) = 9*d - 6. Let k be b(-1). Let y be h + (-5 - -3) - k. Solve 6 = -5*f - y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -i + 4*i + 5*s, 3*s = -4*i - 10. Let q = 0 + 1. Does 10 divide q\/1*(6 - i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 95 + -82. Is 1 - -3261 - f\/(104\/24) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 111 and 2.38076180512?\nAnswer: 108.61923819488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = -27 + 27. Let n be -1 + (108\/(-50))\/(-2). Let z = 0.23 - -0.07. Which is the closest to i? (a) n (b) 5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.639 - -1.339. Let f = 2.03 + -0.33. Let y = w - f. Which is the nearest to y? (a) 4\/5 (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) - (0 + sqrt(304)))**2 - (sqrt(19) + sqrt(19) + (sqrt(684) + 0)**2).\nAnswer: -513 - 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 46 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Determine l so that -2*l**2 - 31794248*l - 126359275735688 = 0.\nAnswer: -7948562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.13 - 0.13. What is the nearest to l in 4\/3, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -125346 divided by -3214\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*l - 1038 + 13870 = 575*l - 37478 for l.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -129 = 25*y - 79 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gc when two letters picked without replacement from gcgggggcg?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 2 - -124b1?\nAnswer: 124b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*q - 5633 = -17*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 126 is divided by 6\/((-2)\/(-72)*9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 296 = -3*o + 1349, -a + 253 = -10*o. What is the third biggest value in -4, a, 1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12 - 18. Let n(x) = 2*x + 1. Determine n(o).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {y: 2, n: 2, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 45\/1396862 and -51\/16.\nAnswer: 11174896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -475*t + 4736 + 14 = 0 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i + 4*n = -i - 10, -4*n - 12 = 0. Let a be (8 + -18)*1\/i. Let q(v) = v - 4. Let p(z) = -z + 3. Determine a*p(r) - 4*q(r).\nAnswer: r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*h + 44 = 14*h + 4*j, -2*h = -3*j + 10. Let m(w) = 2*w - 21. Determine m(h).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c - 4*c + 4 = 0, 3*o - 10 = -4*c. Suppose d = -2*d + 30015. Suppose -5*r + 5*g = o*g + 25003, 2*r = 5*g - d. What is r rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -122.0791 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -g**2\/3 + 7183*g + 21550\/3.\nAnswer: -(g - 21550)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1225)*-1)\/(sqrt(70)\/(sqrt(40)\/sqrt(4))).\nAnswer: -5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 0.05, -2.42 in increasing order.\nAnswer: -2.42, 0, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.339374l?\nAnswer: 339.374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -25 - -56 - (-25 + 3)\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 20*c**3 - 2619*c**2 - 71*c - 7704. Determine r(131).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 18*j**2 + 5*j + 18. Does 75 divide k(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 5, 173476 in descending order.\nAnswer: 173476, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i. Let n(p) be the third derivative of -p**4\/24 - 2*p**3\/3 + 3*p**2. Let r(j) = n(j) + 2*t(j). Determine r(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(66) - -6*sqrt(66)*5)\/sqrt(6).\nAnswer: 31*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -389 - -399. Solve -u - 2*d = g, 7*d = u + 4*d - 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 23829 and 1443.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -113 - -4648. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-225728)\/(-11) - ((-800)\/110 - -7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -3*p**3*q**3*t - 4508*p**3*q*t + 2*p*q**3*t + 2*p*q**2 - 25*p*q*t - 6*q*t - q wrt p.\nAnswer: -18*p*q**3*t - 27048*p*q*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the third derivative of -1\/24*w**4 + 0 + 1\/3*w**3 + 0*w + 3*w**2. Let k(v) = -2*v + 5. Calculate -4*k(f) + 9*n(f).\nAnswer: -f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 59*l = -38*l - 485 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -3\/770 and 37\/39620.\nAnswer: 435820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00002409239 rounded to six decimal places?\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1217204309?\nAnswer: 61, 19954169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1446596906 to the nearest integer?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be -3526*(14\/24 - 1). Suppose -5*o + 4*d = 7375, 2*o - 6*o - d = 5921. Let x = j + o. Find the common denominator of x and -13\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-2) - 1*22\/14. Let v = -475587956\/721 - -659623. Let s = v + -3\/103. What is the biggest value in s, -5, u?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -42 - -32244140?\nAnswer: 32244043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.0785852 or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1186\/15 - -477\/5. Suppose 11*k = 15*k - 492. Let z = -870\/7 + k. Calculate the common denominator of i and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 317 = 2*r, 468 = 5*r - 2*r + 3*n. Let m = r + 13. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6908)\/7850)\/(2\/50)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 31, 73, 115, 157, 199, 241?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/14 - 10\/(-14). Let c be (4 - d)*(-3 - 0). Let k be 3\/c + (-30)\/(-9). Put 2, k, 5 in decreasing order.\nAnswer: 5, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 39 - 37. What are the prime factors of 1\/m*(-4 + 78)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1271705 bigger than -6358526\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = -4 + 6. Let v be (15625\/3)\/(n\/6144). What is v rounded to the nearest one million?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.0812 + 4.7488. Let y = -0.23 + l. What is y rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -32*i**3 - 11*i**2 - 23*i. Let r(g) = 11*g**3 + 4*g**2 + 8*g. Suppose -4*a - 2*b + 14 = 0, -5*a + 241*b = 243*b - 18. Give a*q(n) + 11*r(n).\nAnswer: -7*n**3 - 4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -2*i**2 - 20*i + 15. Let l be j(-11). Let m(r) = r + 4. Let w(z) = -10. Let s(b) = 7. Let o(n) = -7*s(n) - 5*w(n). Determine l*o(k) + 2*m(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6*(-6)\/48)\/((-1)\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 68 + -58. Suppose k + 0*k = m. What is the remainder when 25 is divided by k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1986624 or 1986623?\nAnswer: 1986623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 136\/(-14) + 4\/(-2) + (178 - 166).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 21699 is divided by 199?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**4\/11 - 30878*c**3\/11 - 158949630*c**2\/11 - 273022151850*c\/11 - 1089547389000\/11.\nAnswer: -2*(c + 4)*(c + 5145)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 10*y**2. Let q(s) = 0*s + 6*s - 4*s - s. What is v(q(b))?\nAnswer: 10*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.18 + 2.82. Let n = 2.5 + -0.5. What is the second biggest value in -4\/23, n, p, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -f**2*k**3*p**2 + f**2*p + 6*f*k**2*p**2 - k**3*p**2 + 2*k**2*p**2 - 5*k**2*p wrt k.\nAnswer: -6*f**2*p**2 - 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(1008)*2 - sqrt(7)*-1*5)*-3.\nAnswer: -87*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find o such that 12*o**5 - 16*o**4 + 4*o**3 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*c - 220 - 243 + 463.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**3 + 2*l**2 + 21*l - 4. Give s(6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1240 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u = -386.6 + 387. Sort u, -2, -44 in descending order.\nAnswer: u, -2, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5 - 3. Let u be (-2)\/(m\/1) + 6. Suppose -4*x + 4*q - 9 = -1, -3*q = -u*x - 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -6*h. Let s(l) = 2 + 6*l**2 - 2 - 7*l**2. Determine s(f(c)).\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x = -0 + 15. Let w be 3\/2 - (-2 - 6\/(-4)). Sort w, -2, x in decreasing order.\nAnswer: w, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - -6. What is the least common multiple of 24 and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 2 = -a + 7, 4*a = j + 14. Let o(r) = 2*r + 2. Let i(l) = -13*l - 6. Let g(m) = -i(m) - 5*o(m). Give g(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (81\/(-54))\/((-150)\/8).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -43, -81, -135, -211, -315, -453?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -9851*d**2*f - 30*d*f + 4*d - 7*f + 1 wrt d?\nAnswer: -19702*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -5*d + 24. Let o(p) = -p**3 + 6*p**2 + 8*p - 12. Let m be o(d). Suppose 5 = v - 0*v. Put m, v, 11, 4 in ascending order.\nAnswer: m, 4, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 55 - 52. What is the fourth smallest value in 0, a, 4, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 95f0e - -3?\nAnswer: 95f11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8181951*h**4 + 5324788*h wrt h.\nAnswer: 98183412*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m = 68 - -35. Let i = m + -5. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 141358 and 3956.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -415 < 131082?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be 13194\/(-12)*(-220)\/(-165). Sort d, 0, 3 in descending order.\nAnswer: 3, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in -9, 61, -0.473, -2?\nAnswer: -0.473","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-2)\/(2\/(-3))*1. Let t be ((-26)\/(-6) + -1)*q. What is the greatest common divisor of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*b = -21*b. Factor 0*q + 0 - 1\/2*q**2 + b*q**3 + 1\/2*q**4.\nAnswer: q**2*(q - 1)*(q + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -i**3 - i**2 - i. Let m be y(-1). Suppose 3*d - m = 8. Differentiate -4 + b - b + 7 - 5*b**d with respect to b.\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.21, -0.4, 0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) be the first derivative of f**6 + 2*f**3 + 8. Find the third derivative of t(k) wrt k.\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c = -3*u + 7, 9*u = c + 8*u + 4 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 379897379?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a - 46 = -2*v, -2*v - 2*v = -3*a + 9 - 45 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 5, 131, -1 in descending order.\nAnswer: 131, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*p - 4*g + 5, 0 = -4*p - 68*g + 63*g - 45 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the second derivative of -z**5\/20 + 5*z**4\/12 - z**3\/3 - 17*z. Let y = -58 - -62. Determine n(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*i - 2*i + i)*((-3*i + 2*i + 0*i)*(-3 + 2 - 1) - 9*i + 17*i + 5*i).\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 26060 is divided by 12942.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -1892460000 to the nearest 1000000.\nAnswer: -1892000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = 26*c**2 - 329*c + 25. Calculate r(13).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -387 = -10*p - 347. Solve 3*q = -2*y + 11, -p*q = 5*y - 18 + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 62*w + 12. Let s be t(-3). Let q = 175 + s. Which is smaller: q or 1\/103?\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*t + 12 + 18. What is the smallest common multiple of (2 - 1)*7 + -1 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -218586*l**5 + 4*l**3 + 381*l**2 - l - 587.\nAnswer: -13115160*l**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + -2. Let x = -63.46 - 0.54. Let p = -65 - x. What is the second smallest value in 0, b, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 702 minutes after 12:27 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -3*i - 0*i. Suppose w + 232 = 4*y, 0 = -y - 2*y + i*w + 191. Let u = y + -39. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 380*x**3 - 4*x**2 + 3?\nAnswer: 2280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 13, n: 5, m: 2}. Give prob of sequence mmi.\nAnswer: 13\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 145 a factor of 134360559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -110 (base 2) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xvxmo. Give prob of sequence vo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 295 by -5.\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -2*v + 3. Let q be t(3). Let r(h) = 134*h + 1469. Let m be r(-11). Suppose -10*b + 4*b = -5*b. Put m, 1, q, b in increasing order.\nAnswer: m, q, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y*y**(2\/11))**(-12)\/(y**(1\/9)\/(y*y\/((y*(y*y**(-6))\/y)\/y))) assuming y is positive.\nAnswer: y**(-1811\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10824 and 89749.\nAnswer: 2153976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -388, -390, -392, -394?\nAnswer: -396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 17 - ((-9 - (6 - (-14 + 21))) + 14)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 978231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 39*11379\nAnswer: 443781","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*w**5 + 4*w**5 - 3*w**5 + (0*w**2 + 3*w**2 - w**2)*(1 - w**3 - 1) + (3 + 2*w**2 - 3)*(-3*w**3 - 10*w**3 - w**3).\nAnswer: -29*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 + 15*w**2 + 3*w - 14. Let b be y(15). Let c = b - 9. Does 18 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**2 - 16*u + 30. Let h be k(14). Suppose 0 = -h*f + 2 + 6, -w + 4*f = 298. Let a = w + 405. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 71066550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -j**4 + 2*j**3 + 348472*j**2 + 252491*j wrt j?\nAnswer: -12*j**2 + 12*j + 696944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0005474396 rounded to five decimal places?\nAnswer: -0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dappadgapagaa. What is prob of picking 1 a and 1 p?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 36943.39000002 - 36943.4. Let h = q - -0.01. What is h rounded to 7 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3099 + -3091. Let p(w) = -w + 6. Let y be p(6). Suppose y = -3*g - 3 - 0, 5*u + 2*g - 3 = 0. Solve f + 2*i = -u, d*f - 4*i = 6*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 2*s**2 + 79*s + 4. Give t(-41).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 3*x + 93 = 0, -5*t + x = -4 + 93. Let z = 73\/4 + t. Which is greater: z or -2\/5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 119902612631 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = 128*m + 5096. Determine h(-39).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/7 in -657, -0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -1, 4\/9, -5, -0.4, 0.49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -374*s. Let a(u) = 44*u**2. Determine f(a(v)).\nAnswer: -16456*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3783129270 rounded to the nearest 100000?\nAnswer: 3783100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -5*t**3 + 3*t**2 + 4 + 71*t - 8*t**2 - 88*t. Let u(g) = -6*g**3 - 5*g**2 - 20*g + 5. Let x(l) = 5*h(l) - 4*u(l). Calculate x(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = s**2 + 8*s + 9. List the prime factors of b(-11).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yuuy when four letters picked without replacement from {y: 2, u: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -420392403, -420392402, -420392401, -420392400, -420392399, -420392398?\nAnswer: -420392397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 + 40*r + 951. Determine p(47).\nAnswer: 622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 344\/1233 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3467 - -3866. Let q be 2\/(-4) + (-90)\/(-4). Suppose 19*l - q*l = -r. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -55\/6 and -60\/383201.\nAnswer: 2299206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*n**4\/11 - 16*n**3\/11 + 8*n**2 - 96*n\/11.\nAnswer: -2*n*(n - 2)**2*(n + 12)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 4*h - 56820 = 0, -2*u + 26*h = 23*h - 113618. Is 28 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 24020 is divided by 802?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28 is divided by 8 + 3 + 5*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 21*g**2 + 4*g + 3. Let j be f(-3). Suppose 0 = -3*h - 2*l + 379, 4*l = 3*h + 2*h - 595. Let a = j - h. Is a a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 765 - 119. Is 38 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -129026, -259528, -390030, -520532?\nAnswer: -651034","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 7.6 * 258.39.\nAnswer: 1963.764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m*m\/(m*m**31\/m)*m)*m*m*m)**(1\/19))**(-49) assuming m is positive.\nAnswer: m**(-1568\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 19 (b) -2.5 (c) -0.03 (d) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*v + 2 - 2)*(-1127*v + 502*v + 501*v)*(-2*v**2 - 3*v**2 + 4*v**2).\nAnswer: 496*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 343542247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**1\/(j**4\/j))\/(j**(-1))**(1\/26) assuming j is positive.\nAnswer: j**(-51\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7853444 is divided by 2725?\nAnswer: 2719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = 20604 - 20584. Suppose 35 = -0*a + 5*a. Let h = a - -1. Calculate the highest common divisor of h and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 202390 or 202389?\nAnswer: 202389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o = 39 + -45. Let a be (o\/12)\/((-27)\/(-30) - 1). Suppose m = 2*m - 3. Sort a, m, 2 in decreasing order.\nAnswer: a, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -20*y - 420. Let w be j(-21). Which is the second smallest value? (a) -0.2 (b) 0.3 (c) w (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lmll when four letters picked without replacement from mmlmlmlmmlml?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 62*m**3*w**2 + 3*m**3*w + m**2*w**2 + 204*m**2*w + 73*m*w**2 + 23 wrt w.\nAnswer: 124*m**3 + 2*m**2 + 146*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 120 a factor of 3840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.083? (a) -3\/7 (b) -1 (c) -435457\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2927924 is divided by 693?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 7*t**3 + 4. Let u be b(2). Suppose 127 = 11*k - u. Let o(y) = -5*y**3 - 4*y**2 - 4. What is the remainder when o(-3) is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5154 + 5153.94. Let f = -11 - -3. What is the nearest to -1 in f, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) be the second derivative of 16*q + 13\/2*q**2 + 0 + 7\/6*q**3. Let s(i) = 3*i + 6. Let j(f) = -f**2 - 10*f - 16. Let z be j(-5). What is z*s(x) - 4*g(x)?\nAnswer: -x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 3*x - 3. Let b be p(6). Solve b = -3*h + 6 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d - 1. Let o be y(-8). Suppose -4*j + 8 = 5*i, 2*j + i = o*j - 10. Let h = -1.46 - 0.54. Which is the nearest to 1\/4? (a) h (b) j (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*p + 16*p = 10 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*z**2 + 14*z**2 + 12*z**2)*(35 - 12*z - 78 + 41).\nAnswer: -264*z**3 - 44*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 966?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 260 = 265. What is the greatest common factor of 35 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -145, -293, -445, -601, -761, -925, -1093?\n\"Answer: -2*u**2 - 142*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 9*d. Let k(t) = -t - 3. Suppose -2*s - 26 = -0*o + 4*o, 20 = -5*s - o. Let w(g) = -2*g - 5. Let b(p) = s*w(p) + 5*k(p). Determine n(b(a)).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 3 - 2*k**3 + (-1 + 2 + 1)*(-k**3 - 2*k**3 - k**3) - k**3 - 3*k**3 + 2*k**3 + 3 - k**3 - 3.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(39) - sqrt(273)\/sqrt(7))\/sqrt(3) + sqrt(13) + -1 + 5).\nAnswer: sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -54 - -49 - (-13 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 0.3, 12\/7, -107, 0, 0.4.\nAnswer: -107, -1\/3, 0, 0.3, 0.4, 12\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 12*t**2 - 1 + t**3 + 17*t**2 + 48*t**2 - 76*t**2. Let b(a) = 2*a**3 - a**2 - 4. Determine -b(c) + 4*u(c).\nAnswer: 2*c**3 + 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -903 - -929. Calculate the greatest common factor of d and 62.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9201657 to the power of 1\/3, to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o be (11\/(-44))\/((-1)\/8). Suppose 1 - 9 = -o*h. Suppose -48*t**3 - 32*t**2 - 18*t**5 + 14*t**5 - 24*t**4 + 0*t**h = 0. Calculate t.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5327573 is divided by 1870?\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -226*o - 396. Let b be n(-5). Let h = 1904 - b. Does 14 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 27775?\nAnswer: 5, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/(4\/2) - -7. Suppose 4*k + p - 79 = 0. Is k a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 557 + -552. Suppose -s*v = 4*g - 416, -328 = 4*v - 8*v - 2*g. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15 and 156?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 408134550 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g - 57 = 129*g - 229 - 80 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-10 - (-29 - (8 + -16))) + -12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 225, 241, 269, 309, 361, 425?\n\"Answer: 6*d**2 - 2*d + 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:46 AM and 1:45 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eeeefffefefeeeee. What is prob of sequence fe?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(399) + (sqrt(399) - (sqrt(399) - sqrt(399)*1)))\/sqrt(7)*-2)\/((sqrt(132) + (-1*sqrt(132) - sqrt(132)))\/sqrt(11)).\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -20\/9 and ((-4)\/((-1168)\/20))\/((-2)\/6).\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-45)\/(-18))\/((-10)\/(-6))*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 11 + -7. Suppose 0 = i*j - 3*f - 10, -2*j + j = 2*f - 8. Solve j*v = -8 + 24 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23295 is divided by 448.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 5383646 to the power of 1\/2, to the nearest integer?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = -b + 3114, 2*b + 5*k + 3102 = 3*b. Let q = -21771\/7 + b. Find the common denominator of 27\/10 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 611 minutes after 2:54 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(162)\/(sqrt(3)*1) + sqrt(54))\/((sqrt(54)\/sqrt(3)*1)\/sqrt(9)))**2 + 1.\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 2311, 2326, 2341, 2356?\n\"Answer: 15*x + 2296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 101\/18 and -19\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4*1 - -2) + 9. Suppose -3 = -s - f. Which is the closest to 1? (a) s (b) -2\/19 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -3*y**3 + y**2 + 2*y + 1. Suppose -2*g - 5 = 3*g. Let w be h(g). Let p be (-5)\/30 - (-23)\/(-6). Put w, -16, p, -5 in descending order.\nAnswer: w, p, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 70277 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 54342542 (base 7) in base 11?\nAnswer: 26960a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**2 + a - 1. Let l(u) = -7*u**5 + 16*u**4 - 11*u**3 + 6*u**2 + 4*u - 4. Let b(h) = -l(h) + 4*p(h). Factor b(y).\nAnswer: y**2*(y - 1)**2*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 63 - 36. What is the highest common divisor of 12 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-6)*(-3)\/(-4). Let x = -252 - -248. What is the second biggest value in k, x, 2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -239*p**2. Let s(y) = 23362*y**2 + 39*y. Determine s(j(z)).\nAnswer: 1334460802*z**4 - 9321*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 s when three letters picked without replacement from {s: 3, y: 3}.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jjee when four letters picked without replacement from jjjjjeje.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Subtract -222217 from -4760.\nAnswer: 217457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -764082 (base 9) to base 4.\nAnswer: -1233100103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (6 + 0)*1\/3. Let s(y) = -4*y + u*y - y + y. Let i(a) = -a. Calculate i(s(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 119 - 76. What is the remainder when s is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 191, 193, 205, 233, 283, 361, 473, 625?\n\"Answer: c**3 - c**2 - 2*c + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = 6116*z**2 - 4*z - 1. Let l(x) = 2*x. Give l(m(f)).\nAnswer: 12232*f**2 - 8*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -29 less than -372172584?\nAnswer: -372172555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) be the second derivative of -2*s**4\/3 + s**3\/2 - s**2 - s + 338. Suppose -4*h - 11 = -19. What is y(h)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -1441 + -40244?\nAnswer: -42125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1410*q + 7*q**2 + 1410*q.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are -172091 and 1\/4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 5? (a) -0.56 (b) -2 (c) -0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the first derivative of -5*p**3\/6 - 125*p**2\/2 - 3125*p\/2 + 85. Let i(x) = 0. What is x?\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*g + 74 + 46 = 10*g. Solve 466*w - g = 465*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*j**3\/7 + 4*j**2 + 96*j\/7 - 720\/7.\nAnswer: -4*(j - 6)**2*(j + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(-10)\/y*y*y)\/(y**(-2\/5)*y)*((y**(-1\/12)\/y)\/y)\/y*y*y*y\/y**4 assuming y is positive.\nAnswer: y**(-821\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -10*f**2. Let g(j) be the third derivative of 0 + 1\/24*j**4 + 0*j**3 + 0*j + 13*j**2. What is g(o(t))?\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -5*r - 1. Calculate the smallest common multiple of 2 and o(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 - -10. Suppose f*o - 6*o = 3*k - 16, -25 = -5*k - 5*o. Calculate the remainder when 7 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*v**2 - 4*v - 6*v + 7*v - 1 + 26*v**2 - 768 + 768 + (9*v - 9*v + 39*v**2)*(3 + 1 - 3) as c*v**2 + a*v + w and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - -256476052?\nAnswer: 256476057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yp when two letters picked without replacement from ooooyoopobbboyoo?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = 170 - 89. Let h = 5 + 4. Calculate the greatest common divisor of q and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 43 = 3*s + 30, 0 = -5*s + 2*v + 29. Let j be (14\/6 + 1)*-6. Let w be 2*-23 + j\/s. What is w rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 5 = x, 25*x - 14 = 5*j + 22*x. Suppose l = 4*w + 20, w + 5 = -l - l. Sort 2, j, l in decreasing order.\nAnswer: 2, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -i**4 - 2*i**3 + 2*i**3 + (0*i - 2*i + 0*i)*(0*i**3 + 3*i**3 - i**3) + 11*i**4 - 3*i**4 + 20*i**4 + 52 + 2*i**4 - 52.\nAnswer: 25*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide -1768 by 5.\nAnswer: -1768\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -0.4, 4, 14?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express -523 + n**4 + 14*n - 3*n**4 + 524 as u + z*n + g*n**4 + p*n**3 + o*n**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -86*l = -84*l + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2573466 (base 8) in base 9?\nAnswer: 1314715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t*(t\/((t*t\/t**(-1\/4))\/t))\/t))\/t**(25\/2))\/(t**(-3\/32)*t**6) assuming t is positive.\nAnswer: t**(-549\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 21010200110 + -2?\nAnswer: 21010200101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:07 AM and 9:48 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-19 + 19 + 4*p)*(-25*p**2 + 55*p**2 - 35*p**2).\nAnswer: -20*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.216 + 0.084. Which is the smallest value? (a) 12\/11 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4539 - -50182. What are the prime factors of m?\nAnswer: 13, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*a + 25*a - 139761*a**2 - 12*a.\nAnswer: -139761*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -1, -327, -4, 5, -3 in decreasing order.\nAnswer: 5, 1, -1, -3, -4, -327","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -99*z + 89. Give s(2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the second derivative of y**7\/231 + 2*y**6\/165 + y**5\/110 - 11*y. Factor j(z).\nAnswer: 2*z**3*(z + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8776 - 4917. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 6*c**2 - c + 1. Calculate the remainder when 14 is divided by m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s**(1\/3))**(-27\/4))**(-1\/9)*(s\/(s*s**7))\/(s**0*s)*s\/((s\/(s*s**7)*s)\/s*s)*s*(s\/(s**(1\/4)*s)*s)\/s assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -50277 - -5?\nAnswer: -50272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - (-2 - -8)) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 65*n**2 - 29*n**2 + 2 + 5*n**4 - 38*n**2 + (n + 2*n + 0*n)*(n + n**3 - n) + 3*n**2 + n**4 - 3*n**2.\nAnswer: 9*n**4 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44149*q**2 - 7 + 7 - 44166*q**2.\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -3719, -3718, -3717?\n\"Answer: w - 3720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 70.81791 meters to micrometers.\nAnswer: 70817910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 10559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -24*b + 5345. What is the units digit of n(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/1064712 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1148848 and 1298.\nAnswer: 12637328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 48 + 222 = 5*r. Calculate the remainder when 321 is divided by r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*w**2 + 71 - 1 + 2*w**2 - 70.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-45)\/15 + (0 - -26). Suppose a + 28 = o. List the prime factors of o.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33052899.\nAnswer: 3, 11, 953, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = 5 + -11. Let v = f + 10. Let s be 11\/(-8)*2 - (0 + -3). Which is the nearest to s? (a) v (b) -5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + 14 + (-26 - -25)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.5, 353, -0.039, -0.4?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 52648834 is divided by 33.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -c**2 - 55*c - 202. Let l be h(-4). Let r(s) be the first derivative of 1\/3*s**3 + 0*s - 4 - 7\/2*s**l. What is the second derivative of r(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 594 is divided by 85.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2354 and 642.\nAnswer: 7062","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes before 4:27 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -48*v - 526. What is the remainder when h(-16) is divided by 83?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -120728088, -241456177, -362184266?\nAnswer: -482912355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 2021103021 (base 4) to base 2.\nAnswer: 10001001010011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 2*k + 146*k**3 + 16 - k**4 - 75*k**3 - 74*k**3 in the form t*k + z*k**2 + u*k**3 + l + j*k**4 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -33b29 (base 16) to base 11\nAnswer: -135103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 4:33 AM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -309.86 * 31.\nAnswer: -9605.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6531.151 - 6524. Let q = k - 0.051. Let w = -7 + q. Which is the biggest value? (a) w (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wffw when four letters picked without replacement from wwfwwfwwwwwww.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 10, e: 4}. What is prob of sequence tete?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 18286, -3, 77, 42 in decreasing order.\nAnswer: 18286, 77, 42, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39 - (44 - 5) - -26.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 736 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sspf when four letters picked without replacement from {c: 3, s: 2, f: 1, p: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of (-3)\/2*-674 + 30\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find f such that -64*f**3 - 63*f**3 + 15*f**3 - 4*f**4 - 784*f**2 = 0.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 976139 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 10:25 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4332 and 1596.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -59 (base 12) in base 13?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in one quarter of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10299 + 10367 = 17*b. Let h(a) be the third derivative of a**3 + 0*a + 28*a**2 + 0 + 1\/24*a**b. Calculate h(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) be the second derivative of -55*c**3\/6 + 13*c**2 - 16*c + 1. Differentiate s(g) wrt g.\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 + 1 - (17 + -10 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -221, 5, 316 in ascending order.\nAnswer: -221, 5, 316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4*sqrt(78)*2 - sqrt(78))\/(-6*(sqrt(6)*1 + sqrt(6) + sqrt(6))) - (-1*sqrt(117)*4)\/(-3*sqrt(441)))**2.\nAnswer: 69277\/15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 3 divided by 428500341?\nAnswer: 1\/142833447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d = 791 - 792. Let w(r) = 3*r - 2. Let o(n) = n**2 - n + 1. Give d*w(t) - 4*o(t).\nAnswer: -4*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c - c - 3*c)*(5 - 2 - 1) + 3*c + c - 2*c + 0 - c + 0.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11121 - -10?\nAnswer: 11131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 538*k - 438 = -130 + 1844. Put 1, -41, 1\/6, 9, k in descending order.\nAnswer: 9, k, 1, 1\/6, -41","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66 a factor of 4004286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q - 2*q - 116 = -4*y, -5*y + 2*q + 145 = 0. Let p = -11 + y. Let r be (120\/p)\/((-2)\/(-6)). Calculate the greatest common divisor of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19 + -11. Let y = -24 + l. Is 3*y*4\/(-6) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -200303402 (base 5) to base 11\nAnswer: -4a0404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -153673590*k*w**2 + 2323*k + 18478 wrt w?\nAnswer: -307347180*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 0*j - 1 - j**2 + 0*j + 3*j**2. Let b be a(-1). Suppose 2*c - 29 = -3*d, -2*d + 1 = -b. List the prime factors of c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -762 + 861. Calculate the least common multiple of 189 and f.\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-24)\/30 + 69\/5. Suppose 2*x + 7 = r. Solve x*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*s - 12*s - 6*s + 0*s + 0*s + s + (-2*s + 5*s - 4*s)*(2 - 2 - 2) - s + 0 + 0 + 3*s - 5*s - 3*s)*(-4*s**2 + 4*s**2 + 2*s**3).\nAnswer: -32*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c + 7*c = 90. Solve z + c = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) be the first derivative of 7*j**2\/2 - 1. Let n = -2 + 1. Let r be f(n). Round r to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 * 48.6\nAnswer: 145.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 78 + -6. Let z = -224 - -159. Let t = b + z. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -76*n = 22 - 706 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of -13*h**8\/6720 + h**5\/60 + h**4\/4 + 10*h**2. Let t(z) be the second derivative of m(z). Differentiate t(s) wrt s.\nAnswer: -39*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 214 and 1819.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 2453 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**(-1\/2)\/h**(2\/29)*h**(-4)*h**(2\/29) assuming h is positive.\nAnswer: h**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**2 + m + 3. Let z(x) = -32*x**2 - 20*x - 60. Let h(t) = -80*y(t) - 4*z(t). Let d(o) = 3*o. Determine h(d(w)).\nAnswer: 432*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f**2 + 4*f + 2. Let y be a(-2). Let h = 36 - -6. Suppose 2*b + h = 5*b. Calculate the greatest common factor of b and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssvssvv. Give prob of sequence vssv.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -42 (base 7) to base 14.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**3 + 11*j**2 + 777*j + 59. List the prime factors of w(28).\nAnswer: 52391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -44*z**4\/3 - 790*z**3\/3 - 2032*z**2\/3 - 1226*z\/3 + 20 = 0 for z.\nAnswer: -15, -2, -1, 1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-36)\/(-8))\/(-4 + 62\/16). Let l = -1475\/41 - u. Let n(m) = -m. Let v be n(0). Which is smaller: v or l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 343 (base 5) to base 14\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kssookokk. Give prob of sequence sk.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -43*w**4 - 2*w**3 - 1335*w**2 wrt w.\nAnswer: -1032*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 29 or 1.675?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -36*(-2828)\/(-1616)*((-48)\/(-14))\/(-4).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 317.788 from 4775.\nAnswer: 4457.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 65122 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 5*h**2 + h**2 + 0*h**2 + (3 + 2 - 3)*(h**2 - 4*h**2 + h**2) - 4*h**2 + 0*h**2 + 5*h**2 + h - h - h**2 as m*h + c*h**2 + f and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -34, -65, -94, -121?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = -31 + 34. Solve p*o - 6 = o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -1) + (37 - 43)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*2\/54*81\/162.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3394 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 159275 is divided by 245?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2\/4*((-19 - -4) + 205). Solve u*x = 98*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes before 3:17 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -78*k**2 - 12*k - 12. Let d be h(-1). Let v = -74 - d. Solve -y + 6 = -x, -5*y - v*x = -0*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2488)\/(-1555)*1\/(-8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -63793, -255475, -575049, -1022515, -1597873, -2301123, -3132265?\n\"Answer: -63946*w**2 + 156*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 54869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1600310219?\nAnswer: 29, 55183111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**2 - 556*y - 8712.\nAnswer: -4*(y + 18)*(y + 121)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert -1101422 (base 5) to base 3.\nAnswer: -222001020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 74*u**3 + 2*u**2 - 28*u. Let t(b) = b**3 - b. Let s(o) = -f(o) - 12*t(o). Find the second derivative of s(y) wrt y.\nAnswer: -516*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((40\/(-5))\/24)\/((-1)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 38*a + 399. Let m be j(-10). Solve -5 - m = 6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 222*n = 243*n - 127785. List the prime factors of n.\nAnswer: 5, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = -v**3 + 3*v**2 + 6*v - 8. Let n be o(4). Let r(t) = -7*t**2 - 2*t**2 + 5 + t + 8*t**2. What is r(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3444296293068 and 0?\nAnswer: 3444296293068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = -5*y - 7, 4*y - 16 = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1515\/(-1212))\/((2\/(-8))\/1)*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -20*i + 3*i + 2*i + 10*i. Let l(u) = -27*u**2. Give l(q(g)).\nAnswer: -675*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7396.189 + -7393. Let f = 2.89 - c. What is f rounded to 2 dps?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -i**2 + 9*i - 6. Suppose 6*j = 7*j - 8. Let d be h(j). Factor 2*v**d + 7*v - 4*v**2 - 3*v.\nAnswer: -2*v*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 870295.1ns in microseconds?\nAnswer: 870.2951","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4011 is divided by 571?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is -96 smaller than -120?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-4 + -2 + sqrt(320) + 0 - (-2 + sqrt(320)*2)*-2) + 4)**2.\nAnswer: -480*sqrt(5) + 8036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**2 + 3*y. Suppose -10*q + 5*q - 20 = 0. Let p(g) = -g**2 - g + 3. Let z(m) = -2*m + 2. Let a(w) = -2*p(w) + 3*z(w). Give q*j(b) - 3*a(b).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-2) - (-18)\/(-14). Suppose -10*y = y - 44. Which is the nearest to -2\/9? (a) y (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -2*a**2 + 3*a + 3. Let u be s(2). Let j be 0\/u*(0 + -3 + 4). Suppose 2*v - 5*v + 3 = j. Solve -5 + v = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 45 + 39 + -66 + -13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 6966 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: Are -55300 and -55292 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -88 or -12.25416?\nAnswer: -12.25416","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -48 + 0 - (-3770 - -3708) - (-2 - (-1 + -41))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -4, -22698 in decreasing order.\nAnswer: 3, -4, -22698","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 5\/8 of a centimeter?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y - 4 + 12 = 0. Calculate the least common multiple of y and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 4*y - 339 = 0, 483*q = 487*q + 2*y - 474. What is the remainder when 1266 is divided by q?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 3, k: 5}. Give prob of sequence hkk.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -4*r. Let q(u) = -2*u + 86. Give q(x(c)).\nAnswer: 8*c + 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12 - -17. Which is the closest to -0.1? (a) p (b) -0.5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w + 28*u + 232 = 0, -4*w + 8 = 664*u - 666*u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -112020 (base 3) to base 9.\nAnswer: -466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-189)\/(-2)*4\/3. Let v(f) = f**2 - 7. Let y be v(5). What is the greatest common divisor of y and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1164843 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 5, k: 3, m: 4, a: 1, g: 1, h: 1}. Give prob of picking 1 k, 1 a, and 1 m.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = -3*v - v - 3*o, -5*v + 5*o + 15 = 0. Solve v*z = z + 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 260 in -4, 1, 891, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 294*q - 86630 = 1750*q + 38546 - 20344 for q.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 150 or 3?\nAnswer: 150","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrrrtrrrrrrtrtr. What is prob of picking 1 r and 1 t?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a second in milliseconds?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find l, given that -7*l**3 - 5*l**3 - 6 + 3*l**3 + 4*l**2 + 2*l - 10*l**2 + 19*l = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3\/8 + (-122)\/(-16) + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 163124781 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1199, -546, 111, 772, 1437, 2106, 2779?\n\"Answer: 2*p**2 + 647*p - 1848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 4*w, 0 + 1 = -4*r - w. Let p = 20\/1693 - 15637\/33860. Does p = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 689*n**2 - 22*n - 23. Does 22 divide k(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m + 1. Let y be c(2). Suppose 0 = 5*a - 6 - 19. Suppose -15 + 5 = -a*n. Solve -q - y*j - 5 = -n*j, -5*q - 3*j - 23 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 808 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*r - 3*r + 3*r + (1 + r - 1)*(-4 + 4 + 1) + (r + 2*r - 5*r)*(788 - 50 - 18).\nAnswer: -1434*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = 64 - 47. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4517 is divided by 4361?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in 115, 89, 13, -137, -385, -755, -1271?\nAnswer: -1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-3\/19)\/(v\/(v\/(v\/v**(-8)*v))) assuming v is positive.\nAnswer: v**(-193\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -7 (b) -0.4 (c) 0.1 (d) 2 (e) 1\/2 (f) 6\/47 (g) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Let f = 0.204 + 103.796. Let a = f - 104.2. Let v be 3 - (4\/1)\/4. What is the closest to 1 in v, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -1ba - -1389?\nAnswer: 118b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/1 + (-552)\/(-92). Suppose -2 = -j + 1. Factor 75*q + 2*q**j - q**x + 0*q**3 - 1 + 2*q**2 - q**5 - 76*q.\nAnswer: -(q - 1)**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*j - 655 + 616 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 380389 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v + 9. Suppose 2*g = 3*t - 233, -5*g + 277 = 2*t + 90. Let h = 86 - t. What is y(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 19664136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Calculate -4700 divided by 235.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-21)\/(-2))\/(980\/1680). Solve -70*p - s - 402 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -1086*j - 824. Let y(d) = 3792*d + 2883. Let h(o) = -18*t(o) - 5*y(o). Differentiate h(b) with respect to b.\nAnswer: 588","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -30055\/41 + 733. Suppose -u + 4*u = 0. Which is smaller: f or u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6289128259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 30*r = -4*f - 1306, -696*f + 695*f = r + 29 + 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2577 - 1027. Suppose -9*b + t = 164. List the prime factors of b.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*l + 0 + 0 + 3*l to the form y*l + x and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.063 (b) 0.3 (c) 0.16 (d) 0 (e) 0.2 (f) 3\/14 (g) 816\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*k**3 - k**3 + k**3 + (-5*k**2 + 2*k - 2*k)*(-k + 0*k + 3*k) + 0*k**2 - 2*k**3 + 0*k**2 + (-3 + 3 - k**2)*(-3*k - 2*k + 6*k) + 1 - 1 - 3*k**3.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -906 > -906?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 7803 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) be the second derivative of j**5\/20 + j**4\/12 + 3*j**2\/2 + 77*j. Calculate p(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/5)*d**(-2\/11)\/d*d*((d*d\/(d*d*d\/(d\/d**(-1\/5)))*d)\/d)\/(d*d**5\/d))\/(d\/d**(3\/2)*d**5*(d*d**(2\/5))\/(d**(-3)\/d*d*d)) assuming d is positive.\nAnswer: d**(-1373\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Total of -400087605306 and -140.\nAnswer: -400087605446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6634 and 248.\nAnswer: 26536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0211693335 to four dps.\nAnswer: -0.0212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be (15\/(-60))\/(2\/24). Let a = 38 + -39. Put 4, a, m, -4 in descending order.\nAnswer: 4, a, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) be the third derivative of -869*k**6\/120 + 19*k**5\/20 - 2*k**2 - 16. What is the third derivative of s(d) wrt d?\nAnswer: -5214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:06 PM and 12:31 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g**2 + 7*g + 12. Let k be m(-5). Factor 1\/2*b - 1\/2*b**k + 0.\nAnswer: -b*(b - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -112, -237, -436, -703, -1032, -1417?\nAnswer: -1852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 21*t**4 - 2*t**2 - 3*t - 2. Let d(j) = -41*j**4 + 5*j**2 + 6*j + 5. Let r(w) = 2*d(w) + 5*f(w). Find the second derivative of r(o) wrt o.\nAnswer: 276*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pl when two letters picked without replacement from {p: 1, l: 1, u: 2, y: 7, a: 6}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20341 - 3*v - 20341.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -83\/4 and -9\/39175808.\nAnswer: 39175808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1.4, -2\/7, 1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -0.1 * -1.1587\nAnswer: 0.11587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.1 - 0.2. Let y = -45 + 46. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 0 + 4 + 5*w + 0 - 3. Let x = -6 + 3. Let r(z) = z + 1. Calculate x*r(g) + q(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 356275064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = -g**3 - g**2 + 1. Let i(f) = f - 5. Let l be i(3). What is the units digit of x(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 4.345605 millennia?\nAnswer: 4345.605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 88, 2, 309 in increasing order.\nAnswer: 2, 88, 309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 5, x: 1, l: 1, d: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(-4\/7))**37)**(-4\/15) assuming p is positive.\nAnswer: p**(592\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 575, -3, 3, -2, -80 in decreasing order.\nAnswer: 575, 3, -2, -3, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be -1*1\/2*-2. Let i = -11.582 - -11.5. Let h = -0.282 - i. Which is the second smallest value? (a) z (b) -3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -212643.1299 - -210738.79. Let u = f + 1904. Let b = 0.33 + u. Round b to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12365220?\nAnswer: 2, 3, 5, 7, 59, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4.29 + 2.274. Let l = 2 - 4. Let g = l - i. What is g rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 2:53 AM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -763 (base 9) to base 14\nAnswer: -328","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = -103 + 103. Let b be (-4)\/(3\/(-39) - u). Suppose -1700*g**3 + 2 - 295*g**2 - b + 145*g + 120*g + 1630*g**3 = 0. Calculate g.\nAnswer: -5, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Let p = 64 - 60. Suppose 0 = 5*q - t + 30, p*q + 1 = -5*t + 6. What is the nearest to 2\/7 in q, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 6549 and 1357.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*y + 504 = 3*y. Let b = 91 - y. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -13, -12, 0.08, -2\/323 in increasing order.\nAnswer: -13, -12, -2\/323, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48868 and 37728668?\nAnswer: 2572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 16557 = -153*f + 22983 for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1856769 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 143\/6576 and -7\/31936?\nAnswer: 13125696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -18, -32, -48, -66, -86?\n\"Answer: -b**2 - 11*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1614439932.\nAnswer: 2, 3, 7, 19219523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 + 6. Let m(q) = q - 4. Let j be m(x). Suppose -3*z + v + 24 = 0, -j*v + 15 + 1 = 2*z. Solve k = -k + z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 6) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 2569548157 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 51\/4 of a millimeter in micrometers?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (5*t - 2*t - 4*t)*(-2*t**2 + 2*t - 2*t)*(6*t - 2*t - 2*t)*(-5 - 3 + 4) in the form a*t**2 + d*t**4 + c*t**3 + i*t + v and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 109 divided by 5\nAnswer: 109\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.71 * -49.\nAnswer: -34.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -2*h + 4. Let l(w) = 1. Let r(t) = -4*l(t) + s(t). Let y be r(1). Let n = 6 + y. Calculate the highest common factor of 4 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 divided by 18.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 743.0059221 rounded to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*d**2*w**3 + 35320*d**2*w**2*x - 231*d**2*x - 42*d*w**3*x - 7427*d*w**2 - 2*x wrt d.\nAnswer: 4*w**3 + 70640*w**2*x - 462*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v - 4*y + 2 = -2*y, 3*y = -12. Solve 25 = -v*a, -6*a - 28 = -3*z - a for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -97, -88, -73, -52, -25?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 92*x**2 + 401*x - 402. Let z be g(1). Suppose 5*d + 4*o - 55 = 0, -5*d = 2*o - 27 - 18. What is the highest common factor of z and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5611 (base 7) in base 16?\nAnswer: -7e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11.2 + 5.6. Let d = -16.7 + s. Let i be 48\/(-27) + (-4)\/18. What is the nearest to d in i, 3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 52056*u - 52061*u + 5, -2 = -p - 2*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -2*j**2 + 4*j. Let o be p(3). Let y be (0 - o) + 1\/((-2)\/8). Suppose 399 = y*k + 3*n, 2*k - 955 = -3*k + n. Is k a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-15 - -13) + (0 - 0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = -238 - -267. Suppose 0 = -n - 3*o + 15, -a*o - 15 = 4*n - 32*o. Solve n = 2*g + 5*l + 24, l = 3*g - 0*l + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 543935?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1099570)\/17735*-1*2\/(-8).\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*s**3*u + 49*s**3 - s**2 + 401*u**2 - 1 wrt u?\nAnswer: 2*s**3 + 802*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 213, 214, 215, 216?\n\"Answer: p + 212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d\/((d\/(d**(1\/18)\/d))\/d))\/d*d\/(d**(2\/19)*d)*(d\/(d\/(d**15\/d)*d))\/((d\/d**(-1)*d*d)\/d))**(-40))**(1\/8) assuming d is positive.\nAnswer: d**(-15305\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the second derivative of r**4\/4 - r**3\/2 - r. Suppose 4*s - 15 = -7. What are the prime factors of z(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 43.3 times -0.05922\nAnswer: -2.564226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 + 3*x**2 - 7*x - 5. Let h be (-5 - -1)\/(29\/((-1015)\/(-28))). Give m(h).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 3*z + 35 = 0, d + 2 = -4*z + 14. Let w = d - 23. Let a = w - 2. Which is smaller: a or -8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -6\/19, -0.7, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -55.63 - -100\nAnswer: 44.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 244 is divided by 195?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (-1 - 2) + -1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40458.\nAnswer: 2, 3, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply 8 and -0.021.\nAnswer: -0.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(13\/6)\/p*p)\/((p*p**(2\/9))\/p) assuming p is positive.\nAnswer: p**(35\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-309)\/63 + -1)*438\/(-670). Let b = m - 1\/335. What is the common denominator of (-4)\/(-6) + 332\/(-30) and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((sqrt(288) - (sqrt(288) + (sqrt(288) - 4*sqrt(288)*-3) - sqrt(288)))\/sqrt(9) + sqrt(1152) + 2*(0 + sqrt(1152)))*-3.\nAnswer: 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 16 + (6 - (11 + -4)) - -2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 221\/68 + 1\/(-4). Find the second derivative of -t**2 + 3141 + 15*t**k + t**2 + 4*t - 3138 wrt t.\nAnswer: 90*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:10 PM and 8:02 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.36432569 + -0.61983762. Let d = t + 0.2555. Round d to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -273*p + 286*p = -234. Let y(f) = -f + 9. Let w(v) be the third derivative of v**3\/6 - v**2. Calculate p*w(u) + 2*y(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + -3*(5 + 5 + 2 + 3*1*sqrt(343) + 0))**2*-5.\nAnswer: -145760 - 23310*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d be -43*(-1 + -1 - 0). Let b be d\/4 - 4\/(-8). What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**3 + 4*x**2 - x - 4. Let f be (3\/5)\/(8\/(-40)). Let b be s(f). Find the second derivative of -15*q**2 - 9*q - 8*q**2 + b*q**2 wrt q.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3260?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(6\/7)*f)\/f**(-2))\/(f**(-2\/43)*(f**13\/f)\/f))**(-46) assuming f is positive.\nAnswer: f**(98256\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 4)*(133*i - 2166 + 91*i + 2166).\nAnswer: -896*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) be the third derivative of x**4\/12 + x**3\/6 + 150*x**2. Calculate t(9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1495497848 to the nearest integer?\nAnswer: 1144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let -3*m**3 + 2*m**2 + m**2 + 3*m - 3*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9040695, 9040694, 9040693, 9040692, 9040691, 9040690?\nAnswer: 9040689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -2011705, -2011713, -2011725, -2011741, -2011761, -2011785, -2011813?\n\"Answer: -2*q**2 - 2*q - 2011701","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.28 * 1.53\nAnswer: -0.4284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 724210.\nAnswer: 2, 5, 72421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*0.215.\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4151217829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.1, 0.4, -1\/5, -0.07?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -7 * -22\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 65.409 in 0.18, -2\/9, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the first derivative of 0*s**2 - 3\/4*s**4 - 6 - 2*s - 2\/3*s**3. Let n(f) = 12*f**3 + 9*f**2 + 9. Calculate 9*k(v) + 2*n(v).\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 1\/6, 4, -0.2, 0.3, -19, -214?\nAnswer: -214","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 42690 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sum 14890.81 and -664379912.\nAnswer: -664365021.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*x + 374 + 274 = 9*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 27703 or 221617\/8?\nAnswer: 27703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 3*c**2 + 838444242*c - 838444245 = 0.\nAnswer: -279481415, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 - -7. Suppose -3*y = 4*n - 27, 3*n + 0 = -4*y + 15. Solve -3*w - 5*o - n = -0*o, -3*o - 19 = -r*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 138 and 389196294?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be -8*((-6)\/1 - -4). Let f = -9 + v. Solve -f*a = -6*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -5 (b) 3\/8 (c) 0.04 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(162) - ((sqrt(162) - 1*sqrt(162)*2 - sqrt(162)) + sqrt(162)))**2 + (sqrt(972) - (sqrt(972) + -2*sqrt(972) + sqrt(972)))\/sqrt(6).\nAnswer: 9*sqrt(2) + 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3425*r - 9 + 3425*r - 2*r**3)*(0 - 2 + 3) to n + g*r + w*r**2 + a*r**3 and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -442, -455, -476, -505, -542, -587?\n\"Answer: -4*j**2 - j - 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-8)\/12*6\/20. What is the biggest value in 2\/13, b, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 PM and 7:12 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -7*b**2 + b - 1. Let q(v) be the second derivative of -v**4\/12 - 16*v. What is -d(m) + 5*q(m)?\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6 - 8 - 10\/(-2). Let v be (o\/5)\/(1\/5). Solve -s + 11 = s + 3*y, -v*s - 1 = y for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -96 + 18 = -5*p - 4*a, -5*p = -3*a - 64. Calculate the highest common factor of p and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3533*l**3 + 7066*l**3 - 3529*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -252 + 857. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vcel when four letters picked without replacement from {l: 3, v: 1, s: 1, e: 3, c: 6, t: 1}?\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xyyknxkn. Give prob of sequence ykk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98161 is divided by 1593?\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1204089?\nAnswer: 3, 71, 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 205, 258, 283, 268, 201, 70?\n\"Answer: -2*w**3 - 2*w**2 + 73*w + 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-26)\/(-117) - (-52)\/9. Suppose -6*o + 6 = -a. What is the second derivative of 8*m**2 - 2*m**2 + 6*m**2 + 28*m + 2*m**o wrt m?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -86912330.95999998 - -86912329. Let g = 1.96 + y. Round g to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 9398, -4.\nAnswer: -4, 4, 9398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 5 + -3 + 9 + -14 + 20 + -9 - 32\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence be when two letters picked without replacement from qbdedbbbbbbebbbbds.\nAnswer: 11\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the second derivative of i**6\/30 - i**5\/5 + i**4\/2 - 2*i**3\/3 + i**2\/2 + 5*i. Solve d(y) = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -211440 (base 6) to base 3.\nAnswer: -212122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*f**4*v + 125079*f**2*v**3 + 31*f*v**3 + 51*f*v**2 + 277*f wrt f?\nAnswer: -36*f**2*v + 250158*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 270 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 + y**3 + 2 + (5*y**2 + 2*y**2 - 4*y**2)*(4*y + y - 6*y).\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 85614300 divided by -666.\nAnswer: -128550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6443?\nAnswer: 17, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 * -0.1297.\nAnswer: 0.1297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = 273.654 + -273.75. Which is the closest to -0.2? (a) t (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s - 6. Let p be y(-3). Suppose 0*q - 3 = -q. Suppose -2*u - 2*u = 4*j + 16, -q*u + 2*j = -3. Does p = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 505 minutes after 12:19 AM?\nAnswer: 8:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -40? (a) 4 (b) 47 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -83, -160, -227, -284, -331, -368, -395?\n\"Answer: 5*v**2 - 92*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -89266*s**3 + 11*s**2 - 11*s + 33. Let z(j) = -144860865*j**3 + 17851*j**2 - 17851*j + 53553. Calculate 17851*f(h) - 11*z(h).\nAnswer: -17851*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 7457.794 decades?\nAnswer: 745.7794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 2*j**2 - 2*j - 2. Let v be -3*(-3)\/(-9)*-2. Let s be p(v). Suppose 7*w = s*w + 50. Calculate the greatest common divisor of 4 and w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -55, -54, -51, -46, -39, -30, -19?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qql when three letters picked without replacement from lllqq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d**2 - 2*d + 4. Let t = -6 - -13. Let u(s) = -3*s**2 + 4*s - 9. What is t*n(b) + 3*u(b)?\nAnswer: -2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 40 + -73 - (-82 + 21).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1aab8 - 5?\nAnswer: -1aac0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:59 AM and 11:23 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Total of 13996894655 and -0.064.\nAnswer: 13996894654.936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 6202 (base 7) to base 16\nAnswer: 86e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -11*n**3\/3 + 40676*n**2\/3 - 81253*n + 121830 = 0. What is n?\nAnswer: 3, 40610\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -2 times -0.147?\nAnswer: 0.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*i + 11 = -108. Let v = 1 + -1.2. Which is the second biggest value? (a) v (b) i (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 625, 622, 609, 580, 529, 450?\n\"Answer: -z**3 + z**2 + z + 624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*r = -36*r - 30*r + 284 + 1416 for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -4*v**2 + 5 + 0 - 9 + 2 + 3*v**2 + 2*v**4 - 44*v in the form q*v + c*v**3 + s*v**4 + z + f*v**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 3060 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 976243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 4b36 (base 12) to base 16\nAnswer: 215a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 261\/3*-6*10\/180?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5*h = 42 - 8, -z - 4*h + 25 = 0. What is the common denominator of ((-34)\/10 - -4) + (-58)\/(-45) and (-14)\/21 - z\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -5*(3 + ((sqrt(175)*-4)**2 + sqrt(175) - sqrt(175))).\nAnswer: -14019","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*o - 340 = -137*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*w - 5*v + 665, -3*v = -3*w - 228 + 657. What are the prime factors of w?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.1318*-0.3\nAnswer: 0.03954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 + 0*w - 2*w - 9*w - 16.\nAnswer: -11*w - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -5, -6\/5, 0.6, -3\/5?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-50)\/(-50) - 0\/3. Let z = -13 + 11. Put -24, m, 3, z in increasing order.\nAnswer: -24, z, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - u - 1 = 0, 2*u = -j - u - 13. Suppose -j + 7 = 5*y. Calculate the highest common divisor of y and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -339\/605 + -337009\/605. Let s = m + 558. Is s less than -18.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3 - -2. Let x be 1 - (1 + -2)\/h. Let u(p) = 0 - p + x - p. Let q(j) = 3*j**2. Determine q(u(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**2 + i + 12. Let f be y(0). Let t = f - 16. Let s(u) = -2 + 4 + 0*u + 3 + u. Calculate s(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in six fifths of a hour?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 196363\/12 + -16373. Let r be (-5)\/2 - (-1)\/(-2). What is the common denominator of a and 682\/60 + (-1)\/r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0*(-3 - (-20)\/6). Let t(m) be the first derivative of -14*m - 1\/2*m**2 + 3. Calculate t(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the first derivative of -g**4\/4 - 17*g**3\/3 - 8*g**2 + 11*g + 8. Let x be a(-16). Let d = x + -7. Solve k + 1 + d = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 14 = 2*d, -2*y - 3*y = 5*d - 5. Suppose 0 = d*w + 6. Sort -0.3, 0, w.\nAnswer: w, -0.3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -14 + 16. Sort 4, 0.4, w in decreasing order.\nAnswer: 4, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -80, -80, -46, 40, 196?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 496460520 to the nearest integer?\nAnswer: 22281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -14 (b) 0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = i**3 + 3*i**2 + 3*i + 2. Let z = -13 - -10. Let t be o(z). Let d = t + 28. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8\/(-52) + 24\/(-13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 81500 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/31? (a) 4 (b) -1 (c) 7 (d) 166.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10 - 13154202?\nAnswer: -13154162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**26\/(s**7\/s) assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*o = 1432 + 752. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 8*y**2 - 2*y + 2. What are the prime factors of u(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - n = 6, -10 = -11*n + 6*n. Which is the nearest to 0.2? (a) 0.2 (b) z (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - 26?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18773*o**3 + 27446*o**3 + 5887*o**3 + 15478*o**3.\nAnswer: 67584*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -l**3 + 2*l**2 + 3*l. Let q be f(-3). Let c be 49\/7 + -6 - -1. What is the third derivative of -23*a**6 + 26*a**2 - q*a**c - 15*a**5 + 15*a**5 wrt a?\nAnswer: -2760*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3490*q + 11716*q + 623446 = 0 for q.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11 - -16. Calculate the remainder when 12 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -874.7 + 875. Let f be (3\/(-4))\/(18\/16). Which is the fourth biggest value? (a) -2\/9 (b) 4 (c) l (d) f\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 8*t*z**2 - 2*t*z - t + 11219*z**2 - 14616*z + 1 wrt z?\nAnswer: 16*t + 22438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 8586*u - 8506*u + 598 = -3402 for u.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -3, -19172 in increasing order.\nAnswer: -19172, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express (h - h - 7*h**2)*(-3 - 1 + 2 + (1 + 4 - 3)*(-1 - 5 + 4)) in the form n + b*h**2 + a*h and give b.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.0253 and -66475262029.\nAnswer: -66475262028.9747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (4*n - 6*n + 0*n)*(n**3 + n**3 + 0*n**3) + n**4 - 4*n**4 + 2*n**4 in the form m*n + s*n**4 + j*n**3 + x*n**2 + i and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h = 300 + -296. Let p(v) = v**3 - 4*v**2 + h - 4*v**2 + v**2 + 11*v**2. Let f(q) = 3*q**3 + 9*q**2 + 9. Suppose 6*g = g - 45. Calculate g*p(d) + 4*f(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**26*w*w*w**(3\/5)*w**(-14\/3)*w*w*(w*w**(2\/7)\/w)\/w assuming w is positive.\nAnswer: w**(2648\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.1508746 kilometers to meters.\nAnswer: 150.8746","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 5. Suppose 5*s - 40 = z, 4*s + s - 55 = n*z. Let k = 17 - s. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*k + 2*k + 0*k)*(165*k**2 - 518*k**2 + 6*k**2).\nAnswer: -694*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -49 - -51. Suppose -5*u + 15 = k, -3*u - 5*k + d*k - 3 = 0. Suppose -5*g - 5*c = 14 + 6, 12 = 2*g - 3*c. Solve g = -2*f + 8, -u*o - 5*f = -8 - 32 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q and 1 r when three letters picked without replacement from qyqyqqfyyryyy?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hgrry. What is prob of picking 1 r and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + 2)*(6*k**2 - 3*k**3 - 6*k**2 - 3).\nAnswer: -6*k**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -631, -2532, -5695, -10108, -15759, -22636?\nAnswer: -30727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -462 - -410021?\nAnswer: 407337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 492, 1585, 3406, 5955, 9232?\n\"Answer: 364*w**2 + w + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k - i + 144, 0 = k - 3*i + 6*i + 36. Let l = -14 + k. Let f be (2\/(-5))\/((-170)\/l). What is the closest to -0.2 in f, 2, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1046070 is divided by 52301?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*g + 5*p + 460, -9 + 99 = g - 3*p. Is g a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l = -4, -3172*j + 226 = -3177*j - 5*l + 2*l for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 3*h = 11, 2*h - 15 = -5*i + 7*h. Suppose -g = i, 3*g + 2*g + 17 = 4*j. Is 419*-1*j\/(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 + 4 = -3*n. Suppose -6*f = -5*f - n. Calculate the lowest common multiple of f and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 33865188 and 24189420.\nAnswer: 169325940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 628 and 666151?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -660 - -669. Let q = -33\/35 + 9\/5. What is the second smallest value in q, y, -0.4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - (5 + -2)) + 24 + -38?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/7 - 12672*h**2\/7 + 20097768*h\/7 - 80188448\/7.\nAnswer: 2*(h - 3166)**2*(h - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh biggest value? (a) 0.1 (b) 0.0454 (c) -0.2 (d) 2\/29 (e) -1.1 (f) -2\/7 (g) -0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) be the second derivative of w**5\/20 - w**4 - 5*w**3\/2 + 37*w**2 - 15*w + 4. Let f be a(14). What is the highest common factor of f and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1045 + -1048. Let x = -22.69 + -0.31. What is the nearest to x in 0.1, 0.5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 141752 - -2.4085.\nAnswer: 141754.4085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence een when three letters picked without replacement from eneneenr?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 3*k + 8. Let i(l) = -3*l - 7. Let c(f) = 7*i(f) + 6*p(f). Calculate c(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(176)*4 + 4)**2)*-3.\nAnswer: -8499 - 384*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) -3 (b) 4 (c) -1\/9 (d) 23805 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.7 - -6.45. Let q = o + -1218.75. Let u = 1215.999999371 + q. Round u to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -2674846 divided by 44\nAnswer: -1337423\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.1, 3\/5, 1, -1\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:47 AM and 3:43 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(2\/3)*i*i\/(i\/(i**3*i))*i\/(i\/i**(-2\/9))*i\/i**(1\/4)*(i*i**(-1\/2)*i*i*i**4\/i)\/((i**(-3\/5)*i)\/i**1) assuming i is positive.\nAnswer: i**(2213\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.3 + 7817\nAnswer: 7817.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 2*l + 10 = f, -5*f = 3*l - 27. Let g be 3\/(f\/(-2)) + 1. Are g and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -83 = 10*x + 37. Calculate the common denominator of (x\/70)\/(1 + 82\/(-90)) and -103\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -9479, -18962, -28421, -37844, -47219?\n\"Answer: 2*g**3 - 9497*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 333767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.3 - -2.7. Let z = 10.8 + -3.3. Let s = y - z. Round s to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38406073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -1 minus 0.1487311928?\nAnswer: -1.1487311928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = -62 - -114. Let n = -468 + 884. What is the greatest common divisor of n and a?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -186*u = -54*u - 151 + 547 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 40223, 40033, 39779, 39461, 39079, 38633?\n\"Answer: -32*k**2 - 94*k + 40349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 121\/15189?\nAnswer: 121\/15189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the second derivative of -r**8\/420 - r**7\/105 + r**5\/15 + r**4\/6 - 8*r**3 + 12*r. Let j(o) be the second derivative of s(o). Factor j(d).\nAnswer: -4*(d - 1)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -388, -844, -1636, -2788, -4324, -6268, -8644?\nAnswer: -11476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-62 + (-161468)\/(-2590))*49\nAnswer: 84\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 319, -7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tdd. Give prob of picking 1 t and 1 d.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of -1\/2*i**2 + 173 + 7*i - 1\/3*i**3. Determine k(-6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 7 = -18, -4*f - 5*k - 115 = 0. Let d(o) = -o**3 + 6*o**2 - 17*o + 1. Let g be d(5). Let c = g - f. Which is greater: 2\/3 or c?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the first derivative of -2*s + 2. Let w(g) = -g + 16 - 4 + 2. Calculate 14*c(y) + 2*w(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 14*w**2 - 34*w + 99. Calculate g(2).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a centimeter in millimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q be 7\/((-1 - -2)*(-4)\/568). What are the prime factors of -4*(-2)\/48 + q\/(-12)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) be the third derivative of -2*t**5\/195 + 173*t**4\/156 - 43*t**3\/39 - 569*t**2. Factor i(h).\nAnswer: -2*(h - 43)*(4*h - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - 17 = 4*r, -2*r + 4*k = r - 26. Solve 0 = -5*a - 4*x + 1, r*x = -5*a + 1 + 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = h**3 + 12*h**2 + 12*h + 390. What is the remainder when 1230 is divided by t(-13)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) -18 (b) -3 (c) -2\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*c*h*t**2 - 9*c*h*t - c*t + 318*c + 11857*h*t**2 - h wrt t?\nAnswer: 4*c*h + 23714*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 118 - 95. Let b = r + -23.007. Round b to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = -539*c + 3814. Give j(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jbsbbumjjbum. What is prob of sequence mb?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 33507 and 33507.\nAnswer: 33507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.9142103ml?\nAnswer: 0.0009142103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4595.591 + 4590. Let r = 70.439 - y. Let n = r + -76. Which is the second smallest value? (a) n (b) -2\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.7195 + 1.1194872. Let w = d - 0.4. Round w to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = 2*q**2 - 1. Let z(n) = 4*n**2 - n**2 - 6*n**2 + n**2 - n + 2. Determine 3*y(t) + 2*z(t).\nAnswer: 2*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 798 + -804 + -26*(-14)\/90 + 2.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17 - (-12 + 19)) + (4 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j = -33.923 - -34. Let x = 0.07700375 - j. Round x to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1075319)\/(-112) + (-3)\/48 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 10 - 16. Let i(o) = -o - 2. Give i(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*o, -1083*h + 1084*h + 3*o = 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -21*(-4)\/90*6072\/(-1771)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 84, 178, 284, 408, 556, 734?\n\"Answer: o**3 + 87*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 437515 divided by -353.\nAnswer: -437515\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 8360, 8362, 8364, 8366, 8368?\n\"Answer: 2*r + 8358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 70966478?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000369042 rounded to seven dps?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 5*i - 5 = 4*i, -12 = 4*i. Suppose -32 = -2*m - n*t, 2*t = m + 4*t - 17. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10179534 is divided by 135727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.5 + 3. Let p = 1388 + -1388. What is the nearest to p in s, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 + 15*x**2 + 4*x - 58. Let f be l(15). Solve 2*d = -d - 2*s - 2, 0 = f*d + 4*s - 12 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2922 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 4*x**2 + 3*x + 3. Let w(d) = 5*d**2 + 6*d + 5. Let f(j) = 4*q(j) - 3*w(j). Calculate f(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zaam when four letters picked without replacement from {z: 3, m: 5, a: 5}.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((j\/(j*(j**(-2\/11)*j)\/j))\/(j\/(j\/(j\/j**(1\/12)))))\/(j\/(j**5\/j)*j*j**(2\/3)))**(8\/9))**(-2\/49) assuming j is positive.\nAnswer: j**(-316\/14553)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 10*a**2 + 24*a - 24. Let y be u(1). Solve -y = 6*l + 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -j**3 - 9*j**2 - 8. Let w be i(-9). Let c be ((-1 - 3) + w)\/(-2). What is the third derivative of 8*y**2 - 4*y**5 - y**2 - 15*y**5 + c*y**2 wrt y?\nAnswer: -1140*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -2 + 0 + (-3)\/1. Let k(a) = -a - 7. Let m be k(t). What is the remainder when m\/(-3) - 91\/(-3) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 + -5.2. Let x = 0.33 + -0.03. Which is the biggest value? (a) -1 (b) x (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 472 and 2304.\nAnswer: 135936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = -279 + 277. Let t = 226\/7 - 32. Which is the nearest to x? (a) 5 (b) t (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/23 (b) -6\/13 (c) 3\/7 (d) 0.42 (e) -2 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1 + -4. Let n(c) be the third derivative of c**6\/120 + c**5\/10 + 2*c**3\/3 + c**2. Is n(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 106721900 to the power of 1\/2, to the nearest integer?\nAnswer: 10331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -105 (b) 167 (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (1 + -19 - -4) + (4 - (0 - -1))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -89 - -93. Suppose t*g - 8*m + 3*m = -300015, 3*g - 2*m + 225006 = 0. Round g to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**3 - 4*h**2 - h - 2. Determine b(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -2*l**3 + 5*l**2 + 3*l - 6. Let t be ((-15)\/(-9) - 2)*-15. Let s be f(t). Let c = s + 176. Calculate the highest common divisor of c and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 26663310 to the power of 1\/6, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*f + 3*i - 678 = 0, 2*f + 3*f = -6*f - 4*i + 433 - 1695 for f.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2021 (base 5) to base 3\nAnswer: -100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 127712 + -87860. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -53*v - 367. Let x be s(-7). Solve -4*q + 6*q = -x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.66 - -0.26. What is the nearest to 1 in u, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17331, -23895, -30471, -37065, -43683, -50331, -57015, -63741?\nAnswer: -70515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -555, -538, -519, -498, -475?\nAnswer: -450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 817028703?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 53587, 54192, 55843, 59062, 64371?\nAnswer: 72292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the third derivative of -a**6\/300 + a**4\/60 + 7*a**2. Find n such that c(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4*(-6)\/15*(-93 + (-17719)\/(-188)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 213810376 divided by 537212?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*(n\/n**(-8))\/n)\/(n**(2\/3)\/n)*(n\/(n*n**1))**(2\/35) assuming n is positive.\nAnswer: n**(974\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.2, -0.5, 39, 3, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the second derivative of o**3\/6 + o**2\/2 - 2*o. Suppose -4*n + 9*n + 15 = 0. Calculate t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 432 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + u - 2*u + 9 = 0, l = 2*u + 3. Let w(r) = 2*r - 4. What is w(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = 123*o + 229. Calculate n(-3).\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 112688 and 2?\nAnswer: 112688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 2*g**2. Let s(t) = 250*t**2 + 234*t**2 - 499*t**2. What is z(s(m))?\nAnswer: 450*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5 (b) -3 (c) 0.5 (d) -30\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/(-2)*4\/60*2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 44*t**2 + 39 - 73 - 13*t**2 + 34. Let a(v) = 55*v. Determine a(b(j)).\nAnswer: 1705*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(528)\/sqrt(48)*6)\/((sqrt(576) - (1*sqrt(576) + sqrt(576)))*1)*4.\nAnswer: -sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1761, -1493, -1247, -1023, -821, -641?\n\"Answer: -11*s**2 + 301*s - 2051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.4 - 2.2. Let x = -124 - -127. What is the fourth biggest value in -5, m, x, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6620, 26960, 61030, 108836, 170384, 245680?\nAnswer: 334730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of -3*w**2\/2 - 13. Let b(z) = -4*z**2. Give b(r(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -2*v**3 - 16*v**2 + 12*v + 27. Calculate x(-9).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.439 + -0.429. Let h be (-2)\/(-4) + (-1)\/1. What is the second smallest value in n, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*q - 20 - 10. Let h(j) = q*j - 34*j + 11*j + 14*j. Give h(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*s - 10*s - 13*s + 33*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 11\/2 of a gram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 124\/21 and 7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 15 = -5*r. Suppose -4*n + 0*n = 0. Suppose n = 2*v + 4 - 14. Calculate the greatest common divisor of v and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 5*p + 22 = 0, p + 52 - 86 = 3*t. Put -1, t, -13, -4 in descending order.\nAnswer: -1, -4, t, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -277881\/770 - -2526\/7. Let m = f + 461\/770. Which is the nearest to 0? (a) m (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -896725 by 5.\nAnswer: -179345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 264973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rnncnddndndncc. What is prob of picking 1 d, 1 r, 1 c, and 1 n?\nAnswer: 72\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.08 and -10.54.\nAnswer: -10.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (16\/14)\/(2\/(-7))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 523938.\nAnswer: 2, 3, 87323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (-21 - (-582046)\/238)\/(4\/14) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1540890724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -710?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3 + 26)\/((-1)\/(-3)). Suppose 0 = 2*b - 5*g - 95, 4*b - 2*g = 63 + n. Suppose k + 5*o - b = -4*k, -4*k - 2*o + 24 = 0. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -137080, -137078, -137076, -137074?\n\"Answer: 2*r - 137082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be -8 - -11 - 11*-1. Let j(n) = -15*n - 6. Let o(y) = -8*y - 3. Let s(l) = -6*j(l) + 11*o(l). Is s(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2112\/7 - -301. Let j(q) = -q**2 - 45*q + 94. Let l be j(2). Are l and z non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 509801?\nAnswer: 509801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3.08 + -2.78. What is the nearest to -1 in 0.1, s, -8, 1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(3\/7)\/(f**(5\/3)*f))\/((f**(-3)*f)\/f*f**(-1\/6)) assuming f is positive.\nAnswer: f**(13\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 35 = -4*v - 5*o, 0 = -313*v + 309*v + 5*o - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14929.\nAnswer: 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -9*k**5 - 3229*k**4 + 8*k**2 + 46*k - 5?\nAnswer: -540*k**2 - 77496*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(342)\/sqrt(2) + 2)*-6)**2.\nAnswer: 432*sqrt(19) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -16 + 18*w - 10*w - 15*w**2 - 5*w + 9 - 12*w. Let c = 5 + 0. Let x(p) = -8*p**2 - 5*p - 4. Calculate c*x(j) - 3*q(j).\nAnswer: 5*j**2 + 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 24*c = 1071023 - 109543. What are the prime factors of c?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**3 + 6960*z**2 + 2269305*z - 107958690.\nAnswer: 5*(z - 42)*(z + 717)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(171)*2 - sqrt(57)\/sqrt(12).\nAnswer: 11*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -20, 31, 2 in descending order.\nAnswer: 31, 5, 2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 27*g + 5. Let i be z(12). Let w = i + -199. Round w to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -s**3 + 15*s**2 + s + 2. Let w be p(15). Let m = w + -16. Sort m, 0, -7 in decreasing order.\nAnswer: m, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 q, 1 k, and 1 m when three letters picked without replacement from {d: 2, q: 1, k: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 19880672 by 2.\nAnswer: 9940336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1844 - 1842. Solve 0 = 4*v + g + 7, y*g + 12 - 19 = -v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 2*a - 6 = 0. Suppose -3*v - 3*x + 2 = 5, -a*x - 9 = -5*v. Let b = 1 - v. Solve b = -4*t + t - 12 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m\/(m\/m**(-4\/9)*m))\/m**(4\/15))\/(m**13*m*m**(-9)) assuming m is positive.\nAnswer: m**(-302\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 22*s - 5. Let m(z) = -99*z + 22. Let l(n) = 5*m(n) + 22*r(n). Let v(j) be the second derivative of 0 + 0*j**2 + 22*j - 1\/3*j**3. Calculate l(v(c)).\nAnswer: 22*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*5*-2*-3*sqrt(242))**2.\nAnswer: 7840800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 4*l + 2 = -2, -5*l - 5 = 2*y. Suppose y*n = -3*n. Solve 2*w - 4*w + 4 = n for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81*i = -152442 - 132678. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 145478.0400005 + -145478. Let k = 0.2 + -0.24. Let j = x + k. Round j to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 11334.3cm?\nAnswer: 113343000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uccucccc. What is prob of picking 2 u and 1 c?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is ((116\/145)\/(42\/405))\/(78\/(-728))?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.3 + -10.4. Let h = 17.7 + o. What is the nearest to -0.05 in h, -1, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -12\/5*p - 18\/5 - 2\/5*p**2.\nAnswer: -2*(p + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 4987 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -95 + 3*l**2 + 63 + 21.\nAnswer: 3*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 2 + 0)*(2*a + 5*a - 4*a) - 3 + 2*a + 3.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 16, -7, -48, -119, -232, -399?\nAnswer: -632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the first derivative of 11*d**2\/2 + 8*d + 23. Let q(o) = 5*o + 4. Let y(g) = 6*n(g) - 13*q(g). Determine y(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 - ((-3 - 18) + (3 - (-143 - -13)))?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 128 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 166\/5 or 32?\nAnswer: 166\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/2? (a) 3\/7 (b) 2\/3 (c) -3\/4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(16\/5)*v**27 assuming v is positive.\nAnswer: v**(151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 1047*w - 833*w - 2782 = 0 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 746723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4382794420.\nAnswer: 2, 5, 219139721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 121900000 rounded to the nearest 1000000?\nAnswer: 122000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3823*d**3*x**2 - 8*d**3 - 53*d**2*x + 2*d**2 - d wrt x?\nAnswer: -7646*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 456 minutes after 7:24 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 63967528 and 22.\nAnswer: 703642808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**10)**(-2\/15)\/(a**36)**(3\/23) assuming a is positive.\nAnswer: a**(-416\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 856014 divided by 285338?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 576989345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(27) - ((sqrt(27) - (-3 + sqrt(1728) - sqrt(1728))) + sqrt(27))**2.\nAnswer: -117 - 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4)\/(-8)*4 + -2. Suppose -7*z + 16709854 + 352765574 = t. Let a = 80782204 - z. Round a to the nearest 1000000.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 11 + -13. Find the common denominator of 848\/(-288) + x\/4 and -59\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0029557 to five decimal places.\nAnswer: -0.00296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3344 + -2245. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 0.06 (c) -3\/20 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2 - y + 6. Let z = -2 - -1. Let a = z - 2. Let f be h(a). Let b(r) = -r**3 + r**2 - 8. Determine b(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 + 6. Suppose 3*w - 2*v + 17 = -7*v, 11 = -w - 3*v. Solve l - 3*a = -4*a + w, 2*l + 5*a = -g for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5 + 1 + 2)*(1 + 2*r - 1) - 3*r - 3*r + 5*r + r + 2 - 2)*(5214993 - 5214993 + 1858*r).\nAnswer: -7432*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3 + -3. Let a = -2 - n. Which is smaller: -3 or a?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 267*i**2\/5 + 455082*i\/5 - 508896 = 0 for i.\nAnswer: -1710, 496\/89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 33 = -3*y, 2*y - 3*d = y - 16. Let l = 0.03 + -0.33. Let x = l + 0.4. Put y, 0.3, x in descending order.\nAnswer: 0.3, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*y - 5 = -2*c, 10*y + 3*c = 5*y + 7. Let t be (44\/(-3))\/4 + (-6)\/(-9). What is the biggest value in 1\/5, t, y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or 3\/48934855?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 576 = 3*d + 143, 4*d + y = 592. Let u(q) = 68961 - 68961 + d*q. Let h(a) = -a. What is h(u(g))?\nAnswer: -147*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 48, 5, 0.2, 4.11, 2\/3, -1, -0.8?\nAnswer: 48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -1660 - -4?\nAnswer: -1654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -5*h**2 - 15676*h - 143796 = 0.\nAnswer: -3126, -46\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 248*o**2 + 6*o. Let c(p) = 495*p**2 + 11*p. Determine 11*b(a) - 6*c(a).\nAnswer: -242*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.88679 - 9.887.\nAnswer: -9.00021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let -25*h**5\/2 - 4870*h**4 + 313275*h**3\/2 - 1243125*h**2 + 472500*h = 0. Calculate h.\nAnswer: -420, 0, 2\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1\/(-3))\/((-2)\/54). Let i(s) = 7*s - 5. Let t be i(f). Differentiate 65*u**4 + 3 + 1 - t*u**4 wrt u.\nAnswer: 28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80\/(-12) - 170\/3910*-529.\nAnswer: 49\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(11) - (sqrt(11)*-2)**2)*-6 + -1 + sqrt(11) + 3.\nAnswer: -5*sqrt(11) + 266","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -19 + 13. Let o(s) = 2*s**3 + 13*s**2 + 2*s + 1. Let l be o(j). Solve -6*x + x = -l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 87*q - 5 - 4*q**2 + 3*q**2 - q**2.\nAnswer: -2*q**2 + 87*q - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 3*t + 4453 = 0, -2*k + 2254 = -2*t + 6*t. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 131 - -230. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 23911 - 11341. What are the prime factors of w?\nAnswer: 2, 3, 5, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llls when four letters picked without replacement from lssslssslssssssssls.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -34.94448 to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 3188637 divided by -112\nAnswer: -3188637\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*y - 37 - 13. Suppose -8*o - 60 = 3*p - 3*o, -4*p - 88 = 4*o. What is the units digit of (-5)\/p - 188\/y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 1, b: 2, y: 2, q: 8}. What is prob of sequence qqy?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -295 - -27867?\nAnswer: 275a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose g**3\/5 - 11*g**2\/5 - 12*g\/5 = 0. What is g?\nAnswer: -1, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -119016 by -551.\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2558674?\nAnswer: 2, 1279337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*j - 24 = -76. Suppose -4*k + j*v = -36, 3*k - 4*v = v + 31. Suppose -18*l + 19*l - k = 0. Calculate the remainder when 30 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2543?\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 22.6200806 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*b + 423890 = -1730310. Round b to the nearest ten thousand.\nAnswer: -220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 4 + 2*y + 2*y - 5*y + y**2 - 2*y**2. Suppose 9*u - 10*u = 0. Let p be i(u). Solve -p*r = -r + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 144 and 47099601.\nAnswer: 753593616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (20*s - 20*s + 19*s**4)*(0*s - 2*s + s) + (4*s - 4*s - 2*s**2)*(s**3 - 4*s**3 + 2*s**3).\nAnswer: -17*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -479.053 + 0.053. Let i = x + 479.0377. Round i to 3 dps.\nAnswer: 0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(90) - (1*sqrt(90) + sqrt(90)))\/sqrt(3))\/sqrt(6) - ((-2*sqrt(15)\/sqrt(3))**2 - 2*(sqrt(5) + 0 + sqrt(5))).\nAnswer: -20 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19*v - 19*v - 4*v**2 + 2*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -2485638080 rounded to the nearest one hundred thousand?\nAnswer: -2485600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -7*c. Let r(a) = 1913*a - 262. Calculate z(r(q)).\nAnswer: -13391*q + 1834","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 205137207.\nAnswer: 3, 11, 23, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-9 - -3) + (38 - 29)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(891)*4*-4 - sqrt(891))**2 + sqrt(891) + (sqrt(891) - (1 + sqrt(891) + -4))**2)*-4.\nAnswer: -1030032 - 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00017797 to 6 dps.\nAnswer: 0.000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5\/(-6) - (-752)\/(-1128)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00182447 to five decimal places.\nAnswer: -0.00182","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-four fifths of a centimeter in micrometers?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16 - 28*g**2 + 372*g + 2 + 369*g - 741*g to the form k*g + n*g**2 + h and give h.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = -67*b + 212. Let x be j(3). Solve 0 = -0*l - x*l - 44 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(-9\/2))\/(g*g**7*g))\/(g\/g**14*g*g**(-1\/8)) assuming g is positive.\nAnswer: g**(-3\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**4 + 160*n**3 - 454*n**2 + 436*n - 145. Let z(u) = u**4 - 320*u**3 + 909*u**2 - 871*u + 290. Let a(d) = 9*c(d) + 4*z(d). Factor a(g).\nAnswer: -5*(g - 29)*(g - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 101 + -706\/7. Which is the biggest value? (a) 0.24 (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 9713 divided by 8\nAnswer: 9713\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -1, 2\/13, 5, 8, -19.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*o + 71*o = 4 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*((sqrt(11) - (sqrt(1584) + 1))*-6 + 0) + 4)*-1)**2.\nAnswer: 25344*sqrt(11) + 1726000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 42\/77 + (2360\/352 - 7). What is the fourth smallest value in b, 236, 1, -0.5?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of (9\/(-42))\/((-18)\/(-94)) and 8\/(-180)*5 - (-3039)\/(-540).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/4 in -0.1, -36, -2\/3, -2, 2\/7, -23?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 4*s = -s + 37, -2*d = -3*s - 9. Suppose m = -3*m + d. Suppose 4 = 4*r - m*i - 4, 0 = -2*r + i + 6. Solve 4*g - 8 = 2*t + 4, -r*g = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 + (-10 - 10) + 5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0148338032 rounded to six dps?\nAnswer: 0.014834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-1)\/((-4)\/(-12)) + -1050. What are the prime factors of (-2)\/4 + w\/(-6)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -119 + 42 - 13*s**2 + 77.\nAnswer: -13*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:52 AM and 3:40 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(-11))**(-1\/3) assuming d is positive.\nAnswer: d**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -12*c**3 + 2*c**2 - 2*c. Let s(v) be the second derivative of 20*v - 29\/4*v**5 + 25\/12*v**4 + 0*v**2 + 0 - 25\/6*v**3. Give -2*s(x) + 25*y(x).\nAnswer: -10*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the third derivative of k**5\/30 + k**4\/12 - k**3\/3 + 2*k**2. Let y = -562 - -578. What is the remainder when y is divided by u(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -368*x**2 - 53850528*x - 5 + 53850528*x + 3 - 2484*x**5 wrt x?\nAnswer: -149040*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = t - 149 + 98. Calculate the smallest common multiple of 54 and t.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 733*p - 18773 = -33792 - 61946 for p.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f - f = -4*c + 53, -f = 2*c - 19. Suppose -396 = -11*j + c*j. Does 33 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6 at least as big as 4\/1339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -597e - d1e?\nAnswer: -669c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 37046*0.1.\nAnswer: 3704.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -4*i + 4. Let p(c) = 21*c - 21. Calculate -2*p(j) - 11*z(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 3*b + 33 - 149 = 0, 0 = d + b - 60. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1674\/65 + -128\/5. Let p(q) = 2*q**2 + q - 2. Let i be p(-2). Which is the biggest value? (a) i (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, 0.05, 9\/5, -5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -104, 4, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (48\/21)\/1 + 40\/(-140). Solve 5 = 3*l - 5*l + b, -v*l = 2*b + 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -190 + 170. Let n = -23 - v. What is the nearest to 3 in 12, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -19*d**2. Let l(t) = t**2 + 4*t - 66. Let c be l(0). Let i(y) = -48*y. Let q(o) = -3*o. Let u(n) = c*q(n) + 4*i(n). What is a(u(x))?\nAnswer: -684*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 2*t**3 - 2*t + 1. Let p be i(1). Let f(h) = -h**2 + 2*h - 1. Let y be f(p). Suppose 0 = -y*m - 4*m + 508. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -343*w + 198*w - 3493 = 277 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 269272.\nAnswer: 2, 97, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 123 divide 1291861374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 84277001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 323 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -87\/4 and 131\/55817928.\nAnswer: 55817928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -13*w**2 + w + 4. Let f be g(2). Let c = -49 - f. Let n be (c + 28\/8)\/(4\/32). What is the greatest common factor of 44 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f + 0*z = 3*z + 9, 12 = -4*z for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0444799465 - -1105?\nAnswer: 1104.9555200535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 63022 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 1 h when three letters picked without replacement from {w: 1, o: 1, h: 2, z: 2, g: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = u**2 - 16*u + 4. Determine o(15).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 104328 and 916412?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {u: 3, a: 5, d: 5}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40027*v - 7*v**3 + 80042*v - 40015*v.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -15 + -4?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5643595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + -8 + -12 - -2 - -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the first derivative of -64 + 0*t - 7\/2*t**2 - 1\/3*t**3 + 8*t**4. What is the third derivative of v(x) wrt x?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 6.610926 months?\nAnswer: 0.5509105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -360 + 353. Let q = 12 - 5. Let m = b + q. Solve m = 3*p - 6, -r - 16 = -3*p - 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2 and 67?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.08 or -331?\nAnswer: -331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 216 + 398 + 186. What is the remainder when i is divided by 61?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8061672 and 16?\nAnswer: 16123344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 667345.41 nanoseconds in hours?\nAnswer: 0.000000185373725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10899091?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1084 + -1111. Let o = -15322\/7 - f. Calculate the common denominator of -2 - 1\/(-2)*75 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23504 = -5*p + 42116. Suppose 623 = -12*j + 2051. Let t be (-2)\/7 + p\/j. What is t rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 53504993 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 19\/2, -7\/6, 2\/7 in increasing order.\nAnswer: -7\/6, 2\/7, 19\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {l: 1, c: 2, z: 3, h: 7, d: 4}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be 20\/220 + 4\/(-44). Which is greater: -739 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 33 and 55.87.\nAnswer: 88.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o*o\/(o**(12\/11)\/o)*o)**(-9))**22)**(2\/11) assuming o is positive.\nAnswer: o**(-1152\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide 8165220 by 4082610.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 15*d**2 - 33*d**2 + 14 + 16*d**2 to r*d**2 + p*d + a and give a.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 3 + 0)*(-4*x**2 - 5*x**2 - x**2).\nAnswer: -10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n and 1 b when three letters picked without replacement from {e: 4, n: 5, b: 3}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**3 - 21*f**2 - 7*f - 5. Let x(k) = 3*k**3 + 60*k**2 + 21*k + 15. Let q(h) = 11*u(h) + 4*x(h). Give q(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 135631100 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 11 = -z, 3*p = -5*z - 4 - 1. Suppose 0 = -3*j + p*x + 5, 0 = -j - 5*x - 5. Determine f so that 0*f - 4\/5*f**4 + j + 0*f**2 + 4\/5*f**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0 + 2. Let q(x) be the first derivative of x**4\/4 - x**3 + 3*x**2\/2 - 2*x - 1. Let y be q(v). Solve y = 3*c + 7 - 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5798 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93 - 19 = -14*q. Let r be -2*2\/q - 5\/20. Which is smaller: r or 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -3*h**3 - 21*h**2 - 176*h + 20. Give i(-6).\nAnswer: 968","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 402262 is divided by 756.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 965 divide 16803545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**4 + j**2 + j - 1. Let t(f) = 4*f**4 - f**3 - 4*f**2 - 2*f + 3. Let v(i) = -6*k(i) - 2*t(i). Factor v(r).\nAnswer: -2*r*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 120123124.5 and -932.\nAnswer: 120122192.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 12494687 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*w - 12*w + 9. Is -2 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -245826.8611 rounded to the nearest 10?\nAnswer: -245830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/3 - (-77150)\/(-30). Let o = 4601 + x. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (2\/6)\/(4\/156). Suppose -c*i - 14 = -18*i + 4*z, -4*i = -z - 9. Solve 2*w = i*l, -4*w + 13 = -2*l + 3 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 73614\/961 = 76?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1478 - 543. Let r = 68 + -63. Suppose -r*x - q = -t, -t + 870 = 5*x - 105. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2403\/686 + 1\/343. Let h = 38 + -39.12. Let n = 0.12 + h. Which is the third biggest value? (a) n (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2489?\nAnswer: 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:16 PM and 7:59 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1290 - 14279\/11. Which is smaller: -9 or y?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 64, 100, 158, 238?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-387)\/135 + 3 - 2\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-y**2 + 5*y**2 - 5*y**2)*(-3*y + 0*y + y + y + 2*y - 2*y - 5*y - 2*y + 5*y + (y - 3 + 3)*(1 - 1 - 2)).\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 600?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from emkeepekmekampe. What is prob of sequence pamm?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*j, -3*h - h = 4*j - 5304. Is (-2)\/(-5) + h\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 162981 and 77?\nAnswer: 1792791","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 227 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t\/(t\/(t*t**1)))*t*(((((t**(-1\/3)*t)\/t)\/t)\/t*t*t)\/t)\/t)\/((t\/(t\/(t*t*t**5))*t*t)\/(t**11\/t)))**23 assuming t is positive.\nAnswer: t**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 442 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 56*x**3*z - 94263*x**3 - 10*x**2*z - 25436*x**2 - 2*x*z wrt x?\nAnswer: 336*z - 565578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.7749 in 2\/3, -4\/5, 0.4, -0.5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(99)*-2 - sqrt(396)) + (sqrt(88) + (2*sqrt(88)*-6 - sqrt(88)))\/sqrt(8))**2.\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 947, 905, 877, 869, 887, 937, 1025?\n\"Answer: q**3 + q**2 - 52*q + 997","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 0\/((-27)\/9 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -415 (base 10) to base 8\nAnswer: -637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1\/4 - -7\/4. Let x = -2 - -3. What is the closest to x in -6\/5, -1\/6, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 129834.4 rounded to the nearest 1000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -77 + 25. Let c = w - -56. Let n = 7.6 - 8.6. Put n, -0.01, c, -0.3 in descending order.\nAnswer: c, -0.01, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 2, z: 7, u: 7}. What is prob of picking 2 z?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the first derivative of 3*k**2\/2 - 2. Let w(t) be the third derivative of 0 + 3\/20*t**5 + 0*t**4 + 0*t**3 - 12*t - t**2. Determine w(a(c)).\nAnswer: 81*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 + (-16 + 16 - -9) - 14) + (-19 - -9).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -253 - -373. Let p(v) = -5*v + 5. Suppose 17 = -j - 2*w + 4, 0 = j + 3*w + 12. Let g be p(j). What is the greatest common factor of g and q?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4774 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -2*q**2 - q + 4. Let t be o(5). Let d = -31 - t. Suppose 0*v + 2*v - d = 0. What is the remainder when v is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -19*u**2 + 170*u + 26. Calculate h(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1371833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/3*o**2 + 200\/3 - 202\/3*o.\nAnswer: 2*(o - 100)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6*(-3)\/6 + 0. Let z = 6 + n. Differentiate u**3 - 6*u**2 - 3*u**2 + 9*u**2 + z with respect to u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g - 6. Let d(m) = 1. Let s(t) = -6*d(t) - h(t). Suppose -w - 2*l - 7 = 0, -2*w - l + 3 = 8. Calculate s(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find k, given that -2*k**3 - 876*k**2 + 26042*k - 25164 = 0.\nAnswer: -466, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -14867, 0, 144, 2, 3 in descending order.\nAnswer: 144, 3, 2, 0, -14867","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3417748?\nAnswer: 2, 17, 50261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 682 = 2*g, -4*g - 4*u - 55 = -1395. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oy when two letters picked without replacement from aayoycaccygac?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -4) + 12 + -16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2.878839039 - 0.2?\nAnswer: -3.078839039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -26.284 + 0.084. Let g = u + 33. Let c = 7 - g. What is the second biggest value in -2\/7, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((-3*(sqrt(832)*-1*1 - sqrt(832)) + (-1*sqrt(832) + -1 - (0 + (sqrt(832) + sqrt(832) + 1 - sqrt(832)))))*-5)**2.\nAnswer: -665800 + 6400*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.213 - 0.113. Let o = 1.2 - 6.2. Which is the nearest to 1\/5? (a) v (b) -2\/7 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3544372?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -120, -2\/9, 2716, 0.3 in increasing order.\nAnswer: -120, -2\/9, 0.3, 2716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 235352485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*s + s - 3*s)*(4*s**3 - 3*s**3 + 0*s**3) + (-s**2 + 2*s**3 + s**2)*(-3*s + 3*s + s).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 1 m when three letters picked without replacement from ddddddzddmmddzddbn?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 1363*x**2 - 78*x + 527. Let c(k) = 682*k**2 - 36*k + 264. Let z(o) = -13*c(o) + 6*m(o). Differentiate z(u) with respect to u.\nAnswer: -1376*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) be the second derivative of s**6\/10 - 51*s**5\/20 + 10*s**4 + 150*s**3 - 706*s - 2. Determine i, given that d(i) = 0.\nAnswer: -3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.297 and -56727093?\nAnswer: 56727093.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-81)\/(-12) + (-3)\/(-12). Let z be 102\/7 - (-3)\/p. Solve 3*q + z = 6*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2*k**3 - k**2 + k + 204. Let u be c(0). Let d = u - 100. Let v be (-2)\/(-7) - d\/(-28). Solve v*h = -4*a - 4, 4*h = -0*h + a + 11 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**(-2)*n\/n**(-3))**(-25)\/(n**(2\/9)*(n*n**(-2\/3)\/n*n)\/n*(n*n**(2\/5))\/(n\/(n\/(n*n**(-6)*n*n*n))*n)) assuming n is positive.\nAnswer: n**(-7963\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 423 minutes before 11:18 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - 4 - (-28 - (-24 + 2 - -11)) - -119.\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/3? (a) 0.0406 (b) 2\/69 (c) -3 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9562 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 412083 and 93051?\nAnswer: 2884581","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - m = 21, -4*m + 68 = 5*w - 46. Calculate the lowest common multiple of 22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, e: 5, d: 3}. Give prob of sequence eeh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*l - 10989 + 10902 = -5*i, -4*i = l - 30 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 28529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2\/257 - 757\/1799. Let i be ((-120)\/108)\/(-5)*(0 + 15\/(-4)). Let u = 0.06 - 0.46. What is the closest to l in u, i, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be -2 + (-24)\/(-45)*3. Let c be 1\/5 + 1 - -78*(-16)\/960. What is the nearest to n in c, -0.3, -4.7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*x = -c - 9*x + 24, 0 = -3*c - 3*x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -5b + 232073?\nAnswer: 232018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply -518695 and 0.5.\nAnswer: -259347.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4740 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 105 is divided by 53.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -6*a + 3 - 2 + a. Let r = -26 + 20. Let b be r*(33\/9 + -3). Let l(g) = -g. Calculate b*l(z) + v(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -3*m + 2 - 7*m + m. Let t be q(-2). Suppose t = 3*u - 5*x, 5*u - 12 = 4*x + 17. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.6, -1, 2, 25, 466, 62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z. Let q(h) = -4*h + 1. Let x = 3615 - 3616. Calculate x*q(u) + o(u).\nAnswer: 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 2040*p**2 + 20362*p + 12. Determine j(-10).\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 6 + -5.7. Let t be (-16)\/(-18)*6 + -5. What is the nearest to t in b, 2\/7, 2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 3, 2, -24, 0 in descending order.\nAnswer: 3, 2, 1, 0, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 - 9 - (3 + 20\/12).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1351920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 12.4 - 6.4. Let f = o + 51. Sort f, 1, 3 in descending order.\nAnswer: f, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -3033804, -6067607, -9101410, -12135213, -15169016?\n\"Answer: -3033803*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = 5*l. Suppose 3*d = t + 1525, 5*d - t - 3978 + 1437 = l. Let z = -287 + d. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 29.01447 millimeters to kilometers.\nAnswer: 0.00002901447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 656 - 352. Suppose 5*i = -10, -s = -4*z - 2*i - 24. List the prime factors of 0\/1 - (-14 - z).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1\/236 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 36843*u + 560. Is q(15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of d*o**2*x**3 + d*o - 3*d + 31*o**2*x**3 - 2*o*x**3 - 4*o*x**2 wrt o?\nAnswer: 2*d*x**3 + 62*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the second derivative of -m**5\/10 - 3*m**3\/2 - 10*m. What is the second derivative of p(g) wrt g?\nAnswer: -12*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0.5 (b) 59 (c) -2\/15 (d) 5 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 360 + -188. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express o + 1 + 3*o**2 - 1 - 1 in the form z + k*o + c*o**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-40)\/b**(4\/5) assuming b is positive.\nAnswer: b**(-204\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 3. Let c(b) = -b**2 + 13. Let o(i) = -25*i**2 - 1. Let q be o(-1). Let m(p) = q*u(p) + 6*c(p). Let v(h) = -h. Give v(m(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 2*w - 1. Let r be v(2). Suppose 0 = -r*t + t + 4. Sort t, -1, 5.\nAnswer: -1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 381 + -377.07. Let m = 0.07 + v. Which is the smallest value? (a) -5 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26*f = 21*f. Suppose f = -4*u + u - 3. Which is the nearest to 0? (a) 1\/6 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of h**6\/15 + 2*h**5\/25 - h**4\/5 - 4*h**3\/15 + h**2\/5 + 2*h\/5 - 280. Suppose o(a) = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 18513691 to the nearest integer?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z\/(z*z**(2\/91)))\/z**(-2\/53))\/(z**(-2\/37)\/z*z**(10\/13)))**(10\/7) assuming z is positive.\nAnswer: z**(536390\/1249157)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -20*s**3 + 4*s**2 - 11. Let d be t(-4). What is the greatest common divisor of 172 and d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -35 - -101. Let g be (-6)\/(-21) + f\/14. Suppose 0 = -0*q + 4*q - g*k - 72, -2*q + 3*k + 38 = 0. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 157\/2100 and -107\/8400?\nAnswer: 8400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 39\/105076 and -125\/372.\nAnswer: 9772068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (33*v - 65*v + 30*v + 6*v**2 + 6)*(2*v + 5*v - 5*v).\nAnswer: 12*v**3 - 4*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 408, 5, 0, 6581, 0.5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 2 d when three letters picked without replacement from {t: 3, d: 2, l: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-g**3 + g**3 + 2*g**3)*(-2 - g**2 + 0*g**2 + 0).\nAnswer: -2*g**5 - 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 8\/49, 0.09, -1\/946?\nAnswer: 8\/49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 333 and 12270051.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -10*l**6 + 195813*l**4 + 20*l**2 - 19859 wrt l?\nAnswer: -1200*l**3 + 4699512*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 236609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z - 4*z + 2048 = 23*z. Solve z = -133*n + 117*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a - j = 86, -j + 50 = 2*a + 2*j. Is a a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*t - 3*k + 125, -k - k + 604 = 27*t for t.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39046.\nAnswer: 2, 7, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -5*k - 5. Let l(n) = -11*n - 10. What is 9*h(j) - 4*l(j)?\nAnswer: -j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 181726 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -1634 (base 9) to base 10\nAnswer: -1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(405) - (-1*sqrt(405) - sqrt(405))) + 3 + 5 + sqrt(405) + -1 - -4*(sqrt(405) + -3 + -1*sqrt(405) - sqrt(405))) + -3 + 2 + -5)**2.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1209297 - 604646 + 19*c**3 - 604651.\nAnswer: 19*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -91*g + 2 = -92*g. Sort g, 5, 1 in descending order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 116*g - 459*g + 116*g + 113*g + 113*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/12*(-628)\/14130.\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes before 2:54 PM?\nAnswer: 3:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -z**2 + 14*z - 6. Let h be v(12). Suppose -h*o - 5*o = -7383. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.6038916 years in centuries?\nAnswer: 0.006038916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 230*u**4\/21 + 688*u**3\/21 + 454*u**2\/21 - 4*u\/21 = 0.\nAnswer: -2, -1, 0, 1\/115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -28 - -24. Let c be (-46)\/(-4) - 2\/b. Calculate the highest common divisor of 108 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 242 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 - (-12)\/6*(36\/(-8) - -6). Sort h, 0.3, 4\/15 in descending order.\nAnswer: h, 0.3, 4\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 658*j - 899*j = 771*j + 18216 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-6)*6)\/(-2*4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -2)\/(-9*(-234)\/486)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 150 (base 16) in base 2?\nAnswer: 101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**3\/11 - 557056*m**2\/11 - 202568*m - 2228256\/11.\nAnswer: 2*(m - 278532)*(m + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 244 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*w - 9*w - 7 = -3*k, -k = -5*w - 29 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 218, 143, 86, 101, 242, 563, 1118, 1961?\n\"Answer: 9*a**3 - 45*a**2 - 3*a + 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -159*c - 163 = 473. Let g(r) = -12*r**2 + 3*r + 1. Let u(x) = 4*x**2 - x. Calculate c*g(j) - 11*u(j).\nAnswer: 4*j**2 - j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -1739*s + 5978 = 1414*s - 3580*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 230793.\nAnswer: 3, 19, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 245061070 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1110100110100001 (base 2) in base 14?\nAnswer: -17b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 105030899 less than -4?\nAnswer: -105030903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -70564012*c**3 + 30*c**2 + 100532*c wrt c?\nAnswer: -423384072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = -2*l**2 - 44*l - 8. What is f(-23)?\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5317389 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -100*k + 53 = -247 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 298 is divided by 67.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -2*n**3 + 4*n**2 - 3*n. Let s(l) = l**3 - 4*l**2 + 2*l. Let f(v) = 3*s(v) + 2*z(v). Find r, given that f(r) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -20355 * 3\nAnswer: -61065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -53 - (17 - -99) - -136?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor 69*p**2\/5 + 279*p\/5 + 12\/5.\nAnswer: 3*(p + 4)*(23*p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -670*t + 472 = 4891 + 3621 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5517*l - 583 = 5464*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 34743.000020049 - 34743. Round g to 7 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0, -1, 25, 1 in decreasing order.\nAnswer: 25, 2, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -46*d**2 - 3*d - 3. Let x(g) = -g**2 - g - 1. Let h(f) = 6*x(f) - z(f). What are the prime factors of h(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5.7 + 6. Let f = -0.8 + -0.5. Let o = f + y. What is the biggest value in o, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes after 8:53 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -6\/7*d**2 - 2\/7*d + 4\/7 + 2\/7*d**4 + 2\/7*d**3 = 0 for d.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 12) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 + 9. Suppose 0 = 2*d + x + 1. Let p = 0.3 - -3.7. Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16039861.9651144339 - 16039862. Let f = 14.9651155139 - j. Let v = -15 + f. Round v to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 2*h**2. Let f(o) = 167 - 326 - 38*o**2 + 156. Give f(y(g)).\nAnswer: -152*g**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the third derivative of -21*i**2 + 0 - 1\/120*i**6 - 1\/30*i**3 + 19\/240*i**4 + 11\/600*i**5 + 0*i. Factor q(c).\nAnswer: -(c - 2)*(c + 1)*(10*c - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*p + 4*g, 3*p + g - 44 = -14. Suppose 9*j - 5*i - 33 = 6*j, -j + p = -5*i. What is the remainder when (-211)\/(-4) + 1\/4 is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 6\/7, 393279 in increasing order.\nAnswer: 0.1, 6\/7, 393279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:12 PM and 12:09 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = -46*j + 42*j + 31872, 0 = 5*t + 4*j - 39835. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -12. Let b(g) = 2*g**2 + 2*g + g - d + 11. Determine b(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 998534 and -24.\nAnswer: 998510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 269200 rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 1, -20 in descending order.\nAnswer: 3, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.00495 + -0.29505. Sort 1\/5, -2\/3, r, -81 in ascending order.\nAnswer: -81, -2\/3, r, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + ((sqrt(405) + sqrt(405) + (sqrt(405) - (sqrt(405)*-2)**2) + sqrt(405))*-1 + ((sqrt(405) + 1)*-2)**2 - (0 + 0 + sqrt(405) + 2))*-2)*2.\nAnswer: -12958 - 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 11, w: 9}. Give prob of picking 3 w.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -5 + 4 + 1 + sqrt(1900))**2.\nAnswer: 40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -49 + 53. Sort -4, -3, b in decreasing order.\nAnswer: b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-10)*(40\/(-25))\/((-24)\/(-20))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2, 47, 192, 481, 962?\n\"Answer: 8*a**3 - 7*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -481711*v + 475947 wrt v?\nAnswer: -481711","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -12*u + 7. What is the remainder when o(-5) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 53 + -32?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -2*j**3 - 19*j**2 - 2*j - 25. Is 24 a factor of s(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 2*j**2 + 2*j + 17. Let n be s(-3). Solve -12*d + 77 = n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the first derivative of f**5\/270 - f**4\/36 + 2*f**3\/27 + 3*f**2\/2 - 1. Let c(b) be the second derivative of p(b). Factor c(w).\nAnswer: 2*(w - 2)*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 - 3 + 4)*(-3*c**4 - 2*c**4 + 3*c**4) + (2*c**3 - c**3 - 4*c**3)*(-3*c + c + 3*c) in the form i*c**3 + r*c**4 + o + t*c + y*c**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*f**2 - 15*f**3 + 7*f**2.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 526*y + 1. Let r(h) = 2*h. What is k(r(i))?\nAnswer: 1052*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 5 and 96665.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + b - 2*p - 125 = 0, -4*b + 82 = 2*p. Suppose s - 3*f = -b, -33 + 93 = -4*s + 4*f. Let h = 18 + s. Solve -h*n - 20 = -2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 14 - -5ac80?\nAnswer: 5ac94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 - (-6 - (-1)\/1). Let u(n) be the first derivative of -n**2\/2 + 2*n - 9. Determine u(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 202 divide 154342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2267894us in nanoseconds?\nAnswer: 226.7894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -453*x**4 - 12*x**2 - 427*x**4 - 2 - 2*x + 888*x**4 as s*x + i*x**3 + l + h*x**4 + u*x**2 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 77447 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -20 in -1\/5, -5, -2, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = x - 4*c + 1, 0 = -5*x - 2*c - 15 + 54. Solve -4 = -3*h + x*w - 9*w, 2*w = 4*h - 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -2*u**2. Let v(z) = 89*z**2 - 158*z**2 + 82*z**2. Give v(l(m)).\nAnswer: 52*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1883 minus 23421903?\nAnswer: -23423786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h = 24241\/16158 + -2\/8079. Find q such that 0 + 3\/2*q - h*q**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sslssslvcssdvfcfcssf. Give prob of sequence dv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 64 and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 78 + 6*d**2 - 145 - 4*d**2 - 26*d**3.\nAnswer: -26*d**3 + 2*d**2 - 67","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8*a**6*p + 190*a**6 + 42*a**2*p - 37*p wrt a?\nAnswer: 960*a**3*p + 22800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 4, -7, -4, 3, -278, -212 in decreasing order.\nAnswer: 4, 3, -4, -7, -8, -212, -278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/5 - 1\/5*j**2 + 0*j.\nAnswer: -(j - 2)*(j + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/780 and -27\/1352.\nAnswer: 20280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 3*y = 2*y - 1, 2*y = -2*u - 6. Solve 1 = -u*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1039*x + 2066*x - 1038*x)*(2 - 14*x + 17*x - 12).\nAnswer: -33*x**2 + 110*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -28*i**2 - 114*i - 6. Let r be l(-4). Let q = -7 - -15. Suppose -5*p - 223 = -r*c - q*p, 0 = -4*c - p + 471. List the prime factors of c.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 533445, 1066894, 1600347, 2133804, 2667265?\n\"Answer: 2*p**2 + 533443*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*j + 43*j = -80*j + 2595. What is the highest common divisor of 320 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the third derivative of -2*y**5\/15 - y**4\/8 - 69*y**2 - y - 3. Let k(v) = v**2 - 2*v**2 + 2*v**2. Determine k(x(d)).\nAnswer: 64*d**4 + 48*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -1955568 divided by -77\nAnswer: 1955568\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 147486303 to the nearest integer?\nAnswer: 12144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 692.3388 milligrams in grams?\nAnswer: 0.6923388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 7464352 and 64672.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = q**2 - 8*q - 1. Let g be o(8). Let d be (-4)\/(-2) - (g - 1). What is the first derivative of -2*t**3 + d + 0 - 1 wrt t?\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:02 PM and 7:06 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = -10 - -14. Suppose 6 = 2*j - y*z, 4*z = -j + 5*j - 12. Solve 2*c = -1 + j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 438 - 1753\/4. Let j = 2.6 + 1.4. Which is the third biggest value? (a) j (b) -0.1 (c) p (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -34.2 + 33.7. Put 0.1, -2, w, 12 in descending order.\nAnswer: 12, 0.1, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 190\/4 + (-1)\/(-2). Let d(g) = -5*g**2 - g - 6. Let f be d(6). Let m be ((-1)\/2)\/(3\/f). Calculate the greatest common divisor of m and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*j + 81*j + 24*j**3 + 26*j**3 - 40*j**3.\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, d: 9}. What is prob of sequence sd?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 1812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = 7 + -6. Which is the second smallest value? (a) t (b) -3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1505693.\nAnswer: 7, 19, 11321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -222*u + 2456. Give m(14).\nAnswer: -652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of j**8\/840 + j**4\/4 - j**3\/2 - 3*j. Let q(s) be the second derivative of g(s). What is the derivative of q(d) wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the first derivative of j**4\/4 + 5*j**3\/3 - 15*j**2\/2 - 4*j + 34. Let c be z(-7). Solve -c + 2 = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 11, s: 3}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16956 is divided by 2243?\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -2\/9*g**2 + 20\/9 - 2*g = 0 for g.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-785)\/394 - 2\/(-1). Let v = g + 1549\/3546. Which is the third smallest value? (a) 1 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 + 3. Let o(l) = -8*l + 2*l + 3*l + 2*l. Determine o(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10065739 rounded to the nearest ten thousand?\nAnswer: -10070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mvmm when four letters picked without replacement from {v: 5, m: 3}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-312)\/1456*(-2)\/18*-4?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 169 is divided by 50.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 f when three letters picked without replacement from fufffffffffffs.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = -174.99999871 - -175. What is i rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7 or -157\/19?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-15)*p**(-9)*(p\/(p*p*p**3))**(-2\/53) assuming p is positive.\nAnswer: p**(-1264\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = 14*h**2 + 3349*h - 5731. What is d(-241)?\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.1 or -215611734?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 3*g**2 + 187*g - 635. Calculate the smallest common multiple of z(-67) and 18.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that c**4\/8 - 5*c**3\/8 - 3*c**2\/8 + 17*c\/8 - 5\/4 = 0.\nAnswer: -2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*y**2 - 2*y**2 + y**2 + (0 - 2*y**2 + 0)*(1 + 0 + 0) + 4*y**2 - y**2 + 2*y**2 + 6 - 2 + y**2 - 5 to the form v*y + s*y**2 + d and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2*(-1)\/4*-6. Suppose 1 = -r*h + 10. Put 1, 2, h in decreasing order.\nAnswer: h, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27600 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -132*k + 42*k - 22240 + 55990. What is the remainder when k is divided by 77?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6910 - -82991\/12. Find the common denominator of 107\/22 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = w**3 - 3*w**2 - 20*w + 92. Calculate the least common multiple of t(8) and 6.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.114 (b) -1\/4 (c) -3\/7 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes after 11:30 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 0, 144 + 327 = 3*l - i. Suppose 4*h - 4 = -0*h, -4*d = -3*h - l. Let u = 67 - d. Is 21 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2412*m - 2422*m + 30 = 0. Which is the nearest to -2\/59? (a) 5 (b) -15 (c) -1\/6 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 13\/342493 and -29\/14891?\nAnswer: 342493","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -13, -0.4, 2\/13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*f + 4*c + 7, 0 = -3*f + f - 2*c - 2. Let x = -3 + 2. Let b = f + x. Sort 0, 1, b in decreasing order.\nAnswer: 1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 5*m + 4*o, m + 3*o + 15 = 4*m. Suppose -18 = w + m. Let p be (10\/3)\/(w\/(-30)). Calculate the highest common factor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/34 - ((-2010)\/(-255) + 22)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 4*d + 1. Suppose -45 = 2*w - 49. Let y(c) = -c + 4. Let t be y(w). Let v(j) = j**t - 9 + 7 + 2. Give q(v(r)).\nAnswer: 4*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -19*h**4 + 3*h**3 - 18*h**4 - 1 + 38*h**4 + 3*h in the form l*h + u*h**3 + r*h**2 + g + m*h**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/16 of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 18*l + 13. What is s(-3)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 3*k + 4*f = -24, -k + 3*f = 4. Suppose k = v + 2. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c, j = 4*c + 1 + 1. Let r(p) = -7*p - 1. Let y be r(-1). Solve -y*k = -j*k - 20 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:58 PM and 7:39 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = 1408*j**3 + 5*j**2 - 56*j - 8. Let i be p(-16). Round i to the nearest 100000.\nAnswer: -5800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*c**3 + 116*c**2.\nAnswer: -4*c**2*(c - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 6*z. Let d(l) be the third derivative of 0*l + 0 + l**2 + 0*l**4 + 0*l**3 + 1\/60*l**5. What is k(d(a))?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 309 minutes after 8:09 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 907, 1245, 1595, 1963, 2355?\nAnswer: 2777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.9 - 0.1. Let x = 8405\/1084 - 1\/271. Let r = x - 8. What is the third biggest value in r, k, -1\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3)\/12*-10)\/((-2)\/4). Let b(o) = -12 + 5*o - 5*o + o - 6*o. Does 13 divide b(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-53*z + 82*z + 2 - 51*z)*(-4*z**2 + 3*z**2 - 2*z**2).\nAnswer: 66*z**3 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11791, -23771, -35751, -47731, -59711, -71691?\nAnswer: -83671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (12 + 8 - 3)*(4 + c - 4)*((-3*c**2 + c**2 + 0*c**2)*(-3*c + c + 0*c) + 0*c**3 - 2*c**3 - 5*c**3).\nAnswer: -51*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 4*y + 2 = 0, -3*j - 2*y + 392 - 388 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:56 AM and 1:02 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of -n**4\/24 + 2*n**3\/3 - 3*n**2 + 113*n. Let f(t) = -1. Determine -2*f(b) + r(b).\nAnswer: -b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5 - 7191\/(-90)) + (-2)\/(-20). What is the units digit of 2*-1*l\/(-2)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-462)\/77 + (1 - -17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 64 = -56. Let x(d) = d**2 + 1. Let i(h) = -7*h**2 - 6 + 8*h**2 - 16 + 6*h**2. Let b(m) = o*x(m) + i(m). Find the first derivative of b(z) wrt z.\nAnswer: 22*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (-535)\/(-45) - (19 + (-12 - 17))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 554 + 655 + 2*s + 618 - 2446 + 611.\nAnswer: 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 107973 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 48693 is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = g + 4, 3*g - 17 = 5*c. Let i(y) = 2*y**2 - 10*y - 2. Let v be i(5). What are the prime factors of (c\/(-1) - v)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 14*k**2 - 10*k - 10. Let w(t) = -t**2 + t + 1. Give 10*w(m) + y(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*o + 2*o + o)*((1 + 4 - 6)*(4 - 1 - 5) - 2 + 4 - 1 - 8 + 4 - 12) in the form v + k*o and give k.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add -1.34 and -62122208.79.\nAnswer: -62122210.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j = 3*g + 1473, -974 = -3*j + j + 4*g. List the prime factors of j.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-21 - (5 + 0 + -30)) + -41?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 88 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 0*w - 40*w**2 - 23*w**2 + 19*w**2 - w - 205*w**3 + 4*w wrt w.\nAnswer: -1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 3*j - 9. Let u be 675\/63 - 2\/(-7). What is the smallest common multiple of u\/(-2)*-1*2 and g(6)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 211 minutes before 3:55 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 15.5 - 15. Sort m, -0.4, 4 in decreasing order.\nAnswer: 4, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 14 + 1. Let t be s\/(-2)*(-4)\/2. Suppose t*x = 5*x + 4. Is x > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 70e6b (base 16) to base 6\nAnswer: 13524535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = 2*d + 18. Let b be o(-8). Let n(z) be the first derivative of -2\/21*z**3 + 0*z**b + 2\/7*z - 1. Find m such that n(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 3*w)*(-1 + 2 - 3)*(-8 + 8 - 4*w).\nAnswer: -24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*s + 11*s + 38*s**3 + 8*s - 60*s + 30*s.\nAnswer: 38*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (20554*z**5 - 3525*z**5 + 2601*z**5 - 4792*z**5 + 25607*z**5)*(-1 + 2 + 0).\nAnswer: 40445*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 54\/11 (b) -2\/33 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 704 minutes after 2:22 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -n**3 + 4*n**2 - n. Suppose -6*z - 3*z + 36 = 0. Calculate w(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 234264 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(((-2)\/(-12))\/(580\/464))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 12 = -4*j - 4, -4*j = 2*d + 12. Suppose -3*t + 27 = 6*t. Let i(y) = y. Let x(o) = o**2 + 4*o - 2. Calculate j*x(k) + t*i(k).\nAnswer: -k**2 - k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3042775 hours in minutes?\nAnswer: 18.25665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2\/3)*y)**(-33))**16 assuming y is positive.\nAnswer: y**(-176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 144*x - 2170923 + 2170923.\nAnswer: 144*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ut when two letters picked without replacement from {f: 1, r: 1, t: 1, p: 1, u: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 0*u + 5*u - 8219 = 0, 0 = -5*u + 10. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 255 minutes before 10:17 AM?\nAnswer: 6:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1232, 4904, 11024, 19598, 30632, 44132?\nAnswer: 60104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -32 times -914?\nAnswer: 29248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:47 PM and 5:06 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 313 - 444133?\nAnswer: -443320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.793 * 143.66.\nAnswer: 113.92238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dy when two letters picked without replacement from {d: 5, z: 3, y: 1}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5806*v - 4 + 1 + 5812*v + 3.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -1325 rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 + 18*o**2 - 31*o + 279. What is the remainder when j(12) is divided by 264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 115 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a + 6799995 = g, -2*a + 6799990 = -3*g + 5*g. What is a rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -539 and -537 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 0*n + 2 = -2*a, -3*a + 10 = 2*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -483\/646 <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -2*h**2 + 37*h - 19. Let o be k(18). Which is the nearest to 0.1? (a) -0.06 (b) 0.1 (c) -3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 2*o = 6, -7*x + 4*o = -2*x. Find q such that -85*q**2 - 4*q - 7*q**x - 4*q**3 - 11*q**3 - q**5 + 72*q**2 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -w**3 + 16*w**2 + 20*w - 17. Let l be i(17). Let p = 72 + l. What are the prime factors of p?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2605704?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -131319.159994 - -131319. Let n = 0.07 + 0.09. Let x = n + y. What is x rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 9781.766 litres?\nAnswer: 9781766","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1868 and 44?\nAnswer: 20548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3\/4)\/(114\/(-3648)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 27 + -21. Let r(l) = 2*l - 2*l - y*l. Let t(d) = -23*d - 11. Let a(v) = 8*v + 4. Let j(z) = -11*a(z) - 4*t(z). Determine r(j(w)).\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 + 3 + -1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1 + (1 - 2) + (9 - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29160 - 112.\nAnswer: 29048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1512769711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 35*q + q - 2*q + q + 2*q - 5*q + 3*q - 5*q + 5*q + 0 - 2*q + 0 + (-5*q + 4*q + 0*q)*(4 + 0 - 3) + 2*q - 2*q - q.\nAnswer: 31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 11 - 4 = 0. Suppose 2*z + p*i - 60 = 0, -4*z + 5*i + 150 = 8. Is z a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 120 = 2*c + c, 0 = 3*c + q + 120. Calculate the lowest common multiple of 18 and (-15)\/2*c\/15.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -22*c - 1405 + 1581 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + (-3*sqrt(156))\/sqrt(3) + 5)*1*-3*-1.\nAnswer: -18*sqrt(13) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + (-4)\/(-9) - (-40)\/(-45)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 7a3 + 2020?\nAnswer: 27c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6.472 - -8.472. What is the closest to -0.5 in 3, g, -5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 9) to base 6\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -5*2391\nAnswer: -11955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1173168 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.21 - -0.11. Let u be ((-3)\/(-36))\/(3\/16). Let z = 0.3 - 0.2. Which is the nearest to f? (a) u (b) 1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 1 o when three letters picked without replacement from ccujxco.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19 = 3*v + 8. Suppose -2*m - 2*m + 80 = 0. Let d = v + m. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.61 + -0.3. Let w = d - -0.09. Let o = -1\/7 - 0. Which is the biggest value? (a) o (b) 2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1428359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 36857 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: What is -9379413176 + 0.4?\nAnswer: -9379413175.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 4 + -2. Suppose 3*m = 3*k, -2*k = q*m - 3 - 5. Find h such that -19*h**4 + 2*h**2 + 21*h**4 - k*h**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 309743 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 8 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.5048 - 12.3132. Round h to one decimal place.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/4 or -9146?\nAnswer: -9146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m + 11. Calculate the smallest common multiple of 125 and c(7).\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 392.56 or 0.542?\nAnswer: 0.542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 23925 to the power of 1\/2, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15 + -15.3. Let l = 1 - 3. Which is the second smallest value? (a) k (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*f = 5*t + 45, 163*t - 167*t + 34 = -f for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6765, 6458, 6177, 5934, 5741, 5610?\nAnswer: 5553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 5026 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 2 + 3852*m**2 - 5 - m - 4619*m**2 in the form h*m**2 + y + s*m and give h.\nAnswer: -767","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Product of 16016 and -1.\nAnswer: -16016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes after 8:44 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3 + 7. Let c(a) = -a**3 + 5*a**2 - 6*a + 3. Let o be c(4). Put 0, m, o in descending order.\nAnswer: m, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = -198*c + 38. Calculate u(2).\nAnswer: -358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.8 - -2.1. Let v = x - 1.2. Which is greater: 2 or v?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*y - 35 = 4*y. Put y, 45, 1\/3 in ascending order.\nAnswer: 1\/3, y, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12872 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 229181396 or 229181398?\nAnswer: 229181398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 60 + -57. Solve 0*n = -c*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-75)\/40)\/((-49)\/392)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*b + 3*b**2 - 4*b)*(-3*b**2 + 3*b**2 - b**2) + 0*b - b**4 + 0*b + 3*b + 2*b**4 - 3*b + 2*b**4 + 2*b**4 - 5*b**4.\nAnswer: -3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3 - (-222)\/(-18))\/((-2)\/21). Let b be 3 + 84\/q + 2\/14. Suppose 0*x - b*x = 12, -5*a = 2*x - 74. Does 8 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -1\/3, 22, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -57*p + 171. Let y be j(3). Let x = 318538 + -2862475\/9. Let l = x - 484. Which is bigger: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 5*k**2 - k. Let p(v) be the third derivative of v**4\/12 + 7*v**3\/6 + 7*v**2. Let m(y) = -3*y**2 - 16*y + 8. Let g be m(-6). Let i be p(g). Give j(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 40*n + 43. Let z be y(-1). Suppose -4*s - 5*j = -5 + 3, -3*s + 5*j + 19 = 0. Let m(h) = 30*h + h**z - 31*h + 0*h**s. What is m(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.337 + -0.437. What is the nearest to l in -5, -0.07, -0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes after 6:39 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 25344 (base 8) in base 9?\nAnswer: 16050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -959499 + 29356260.\nAnswer: 28396761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Work out 49.42015468514 - -138.\nAnswer: 187.42015468514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 - (-1 - -4))*-1. Suppose -a*y = 3*c - 212 - 73, 4*y + 3*c = 573. Suppose -5*p - 24 = -y. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 152996?\nAnswer: 2, 23, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k = -8\/7 - -13\/14. Which is bigger: -2\/29 or k?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (4 - 1)*(-15)\/(-9) - 4. Suppose -5*u - 11 = 2*q, -j + 2 = -u. Is q not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*v**4 - 5*v**3 + 20*v**3 + 1 + 13123*v**2 - 13121*v**2 in the form b*v**3 + p*v**2 + t*v + i + m*v**4 and give b.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*o + 48 = -l, 9*o + 435 = -34*l - 2*o + 178 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4469*t**3 - 3*t**2 - 2421.\nAnswer: -26814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*h - 651 + 10*h + 3*h - 17*h + 7*h + h.\nAnswer: -h - 651","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 32*k**3 + 8728*k - 651193?\nAnswer: 96*k**2 + 8728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/2*((-80)\/168)\/10?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 172 is divided by 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 717 minutes after 9:54 AM?\nAnswer: 9:51 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let j = 560 - 11191\/20. Let s = -330402 + 1971385\/6. Let o = s + 1843. Calculate the common denominator of o and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/5 in 0, 1\/136, 115420?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 10:54 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 4*x**3 + 2*x**2 - 12*x - 14. What is u(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 91\/14633533 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 75386 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from grrggggr. What is prob of sequence grr?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -38611, -152067, -341163, -605899?\n\"Answer: -37820*j**2 + 4*j - 795","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4473\/294)\/(981\/4578).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -48636979*b**6 + 77294667*b**2?\nAnswer: -5836437480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = -5*x - 0*o + 408, 3*x - 2*o = 237. Let t be x\/18*(-4)\/(-6). Suppose 2*a = t*a + 2*y - 21, -47 = -3*a - 2*y. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -8*y**3 - 2*y**2 + 138*y - 15. Calculate d(6).\nAnswer: -987","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5934633?\nAnswer: 3, 59, 33529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 666*z = 592*z - 740 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 6036250 (base 7) to base 5\nAnswer: 140342123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -11, -0.4, 205, -5\/2, -46?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4318417.\nAnswer: 641, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3837 - 4357 = -5*r. What is the remainder when r is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -7*v**2 + 6*v + 3. Let l be q(5). Round l to the nearest ten.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-5))**0*(b\/(b*b**7*b))**19 assuming b is positive.\nAnswer: b**(-152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert 829720.4m to nanometers.\nAnswer: 829720400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -c - 14. List the prime factors of (2 - -7)*4 + c.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -19292 + 19291.95. Which is smaller: 1662 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.93 and 0.1?\nAnswer: 1.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -0.3, 2\/139, -3\/2, -3?\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 72 and 134838.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 179947*-53.\nAnswer: -9537191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) be the second derivative of 0 + 0*o**5 - 14*o**2 + 0*o**3 - 13*o + 0*o**4 + 1\/40*o**6. Let b(t) be the first derivative of p(t). Factor b(g).\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -21882*o*z**2 - 2*o*z + 486*o - 19 wrt z?\nAnswer: -43764*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) be the second derivative of o**9\/60480 - o**8\/13440 + o**7\/10080 + o**4\/6 + o. Let d(p) be the third derivative of w(p). Suppose d(a) = 0. Calculate a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 371041 and 178?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -j**3 - 6*j**2 + 8*j - 65. Let g be l(-8). Which is the nearest to -0.1? (a) 3 (b) g (c) 1\/4 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 375, 3021, 10231, 24297, 47511?\n\"Answer: 382*x**3 - 10*x**2 + 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v - 2. Let d be g(-4). Let i(h) = -4 - 3*h**d + 4*h + 0 + h**3 + 2. Let a be 3\/(-3)*(-6 + 4). Determine i(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -49564 + -2a?\nAnswer: -4958e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*c*i**4 - 150*c*i - 299*i**4 - i**2 wrt i?\nAnswer: -48*c*i - 7176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 39672206 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(1\/2)*h*h)**(-3\/7)\/((h\/h**(2\/3)*h)\/(h**14*h)) assuming h is positive.\nAnswer: h**(529\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -944188 rounded to the nearest one thousand?\nAnswer: -944000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 43200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 221320 (base 7) to base 4.\nAnswer: 21200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 46*n**2\/5 + 774*n + 504\/5 = 0.\nAnswer: -84, -3\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 558649 divided by -637.\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*u**2 - 5*u**2 - 9*u**2 + 22*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = -4*l + 4*z + 3, 5*l + 14 = -3*z for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1208680.292172+0\nAnswer: 1208680.292172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**11*y\/y**12)\/(y**(1\/4))**0 assuming y is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 109 + -160. Let j = v - -74. Is j a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 85*a*c*r - 980*a*r - 36*a + 23*c*r + 6130299*c + 10*r wrt r?\nAnswer: 85*a*c - 980*a + 23*c + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 367935053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 662 + -655. Let v(m) = -m**3 - m**2 + 2*m. Let r be v(-2). Let q = r - -2. Solve j*n = q*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2184 divided by -2?\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 2544 (base 7) to base 15.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 + 2*o**2 + (o**2 - o**2 - 2*o**2)*(-2 - 1 + 2))*((o + 0*o - 2*o)*(-2 + 5 - 2) - 16 + 16 - 11*o) to j + g*o**2 + s*o + t*o**3 and give t.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 47*b - 13 = 46*b. Suppose -b*c + 9975 = -5287. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**3 + 13*c**2 - 14*c + 34. Let h be p(12). Suppose h = -0*x + 3*x + 2*r, 3*r + 23 = 5*x. Sort x, -1\/4, 43.\nAnswer: -1\/4, x, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*x**2\/7 + 7404*x + 14677632\/7.\nAnswer: 3*(x + 288)*(x + 16988)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve s = -5*l + 15, -3*s + 831*l + 9 = 834*l for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1387 - 883. What is the units digit of 20\/6*t\/35?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = 3*u + 6. Let f(q) = q. Let x(a) = 3*a**2 - 27*a - 1. Let v be x(9). Determine v*h(z) + 2*f(z).\nAnswer: -z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 + 6*k**2 - 7*k + 5. Let w be 14\/(-1 + (-4 - -3)). Let v be n(w). Let x(i) be the second derivative of -i**4\/12 + i**3 - 7*i**2\/2 + i. Give x(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 2*j**3 - 25*j**2 - 3*j + 10. Let h(n) = n**3 - 12*n**2 - n + 5. Let t(r) = 13*h(r) - 6*v(r). Calculate t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-2894)\/12 - ((-30)\/(-9) - 4). Let v = y - -241. Which is the third smallest value? (a) -4 (b) v (c) -0.005\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/6*10\/5. Let x be d + (3 + -1 - -9097). Round x to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 20*m**6 - 4*m**4 - 570*m**2.\nAnswer: 2400*m**3 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 255 + -106. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 229 = 3*w, 0*o + 55 = w - 4*o. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - 12 - (-105 + 94).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -69\/58 or -0.25056?\nAnswer: -0.25056","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 3516 and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:30 AM and 3:15 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of -3*y**4\/4 + 52*y**3 - 1391*y**2\/2 + 1505. Find the second derivative of a(s) wrt s.\nAnswer: -18*s + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -104867, -209609, -314229, -418727, -523103, -627357, -731489?\nAnswer: -835499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.50006 - 0.5. What is k rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*m - 4*m + 3*m + m.\nAnswer: -11*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify j**(-3\/11)\/(j\/j**(-1\/26)) assuming j is positive.\nAnswer: j**(-375\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 4 + -3. Let m = j - -3. Let x(i) = -i**3 - 3*i**2 - 4*i - 3. Let g be x(-2). Put m, g, 2\/13 in increasing order.\nAnswer: 2\/13, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -25*c + 49. Let v(u) = 38*u - 74. Let o(p) = -5*v(p) - 8*z(p). Let s(g) = -g**3 + 3*g**2 + 4*g - 5. Let a be s(3). What is the tens digit of o(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 445 minutes before 7:06 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -28, 5, 2 in decreasing order.\nAnswer: 5, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**2 + 6*j + 2. Let p = 17 - 11. Determine c(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffrrrfrfrf. What is prob of picking 2 r and 1 f?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6? (a) 1 (b) 0 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 2, c: 5, z: 2}. What is prob of sequence zzc?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort -1.2, 833, -1.\nAnswer: -1.2, -1, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*f + 4*d + 841, -984 = 5*f - 5*d + 371. Let x = f + 300. Let s be ((-4)\/10)\/(18\/10). What is the second smallest value in s, 0, 0.4, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -608\/21 - -29. Let z(r) be the second derivative of b*r**3 + 0 - 1\/42*r**4 - r + 0*r**2. Suppose z(n) = 0. Calculate n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 128 + -130. Let w be (-38039 - (-1 - -3))*439. Let t be -2 - (-1 + j) - w. Round t to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.78 + 2.98. Sort 3, -11\/2, -2, d in ascending order.\nAnswer: -11\/2, -2, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 5*h**3 - 2*h**2 - 6*h + 6. Let z(s) = 10*s**3 - 3*s**2 - 11*s + 12. What is 11*r(b) - 6*z(b)?\nAnswer: -5*b**3 - 4*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(6)*-2 + sqrt(6))*-6)\/(sqrt(1800) + (2*sqrt(1800) - sqrt(1800))).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*o**2 + 2*o**2 + 2*o**2 + (0*o + 5*o + o)*(o + 1 - 1) to the form v*o + d + a*o**2 and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 569 a factor of 20386132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 3*q**2 - 4897*q + 34177. What is v(7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -307, -384, -553, -826, -1215, -1732?\nAnswer: -2389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.892028 hours to milliseconds.\nAnswer: 3211300.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by 387.\nAnswer: -1\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z + 3. Suppose -7395 = 13444*l - 13009*l. Suppose 5*t - 24 = t. Let s(n) = 3*n + 8. Give l*o(a) + t*s(a).\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 478530 or 478529?\nAnswer: 478530","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 17 + (-15 - -12) + -16?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 3*y + 4251 = 0, -2*l + 15*y - 19*y + 2830 = 0. Is 33 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ggr when three letters picked without replacement from {r: 2, g: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in -0.4, -0.5, -27\/25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -10002 - -333?\nAnswer: -4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -731 + 5?\nAnswer: -72b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1e0 - 5?\nAnswer: 1db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 11*i - 6. Let d(z) = -45*z + 25. Suppose 30*x - 5089 = -5269. Give x*d(w) - 25*c(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10111010101010110 - 1?\nAnswer: 10111010101010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(16\/5))\/(h**(2\/3)\/h)*(h**(1\/5))**44 assuming h is positive.\nAnswer: h**(104\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 60 + 2?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 27*l. Let t(i) = -7 + 3 + 0 + 8. Let k(x) = x - 2. Let r(b) = -4*k(b) - 2*t(b). What is h(r(v))?\nAnswer: -108*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -842, -1622, -2404, -3188?\n\"Answer: -o**2 - 777*o - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 11373356 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 17 = 5*j - 19, 5*j + 5*n - 40 = 0. Sort 1, -141, j in decreasing order.\nAnswer: j, 1, -141","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 51*d**2 - 21*d**2 - 7*d**3 - 30*d**2 - 7*d wrt d?\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16917 + 560*v + 16917)*(2 - 1 + 1 + (-4 + 2 + 3)*(4 - 1 - 2)).\nAnswer: 1680*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 80.84664 weeks?\nAnswer: 48896047.872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + (1 + sqrt(1300)*-1 + 2*sqrt(1300) + 0 - sqrt(1300)*-6*-4*-2) + 3)**2.\nAnswer: -980*sqrt(13) + 3121301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -j**2 - 14*j + 94. Let s be p(-19). Which is bigger: -3\/127 or s?\nAnswer: -3\/127","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*r + 5*r. Suppose -4*u = -u - 24. What is the highest common factor of u and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 891?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 21 = -4*y, -3*y - 5*p + 5 + 15 = 0. Suppose y*q - 25 = 3*d, q + 8 = -3*d + d. Solve 2*v + 6 - q = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/1374 and 125\/5496.\nAnswer: 5496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 26.2725 or 1?\nAnswer: 26.2725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a*a*a\/(a*a\/a**(-1\/9))*a*a*a)\/((a**(-5\/3)\/a)\/a)*(a**(-1\/4))**39)\/((a**(-1\/2))**39)**(-26\/5) assuming a is positive.\nAnswer: a**(-18467\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 6, c: 8, w: 1, r: 3}. Give prob of picking 1 r and 2 p.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 7 - 7. Solve s = q - 2 - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 116 + -115.5. Let q = 4.8 + -1.84. Let a = q - -0.04. Put a, 5, x in ascending order.\nAnswer: x, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1050693.6 months to centuries.\nAnswer: 875.578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 3*k - 8*k - 51 + 0 = -2*u, 1 = 5*k + 46 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -2*o + 3*o - 3*q, -6 = -3*q. Let p = o - 6. Suppose 4*i = -y + 12, 4*i - p*i + 2*y = 12. Solve 2*k = -i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5 = 3*p + 9*n - 23, -4*p = -3*n - 24 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3 - 0) + (-12)\/(-4). Let h be 1 - -4 - (p - -2). Suppose 5*y + 15 = -3*i, -y + 10 = h*y - 2*i. Solve -4*d + 0*d + 12 = y for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 23033313 (base 4) to base 14\nAnswer: 12b0b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29*v + 7*v - 96*v to y + p*v and give p.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 955326014 to the nearest integer?\nAnswer: 30908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = 6*n + 2*n + 43 + 38 - 78 + 0*n. Give g(-5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -260 + 51 + 8*q - q + 127 + 9*q in the form k + i*q and give k.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be (6716\/(-16) - 0)*(3 + 1). Which is greater: -1680 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 12*g**2 - 131*g - 17. Calculate j(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1738278*g**3*t**2 + 2*g**3 + 61*g**2 - 9269*g + 6*t**3 wrt t.\nAnswer: -3476556*g**3*t + 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*o - 5*t, 0 = -o + 2*o - 2*t + 4. Suppose -5*f + q + 2*q + 13 = 0, -4*f = -o*q - 10. Determine h, given that -4*h**3 - 200 + 200 + 4*h**f = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a\/a**(2\/5))**(1\/21)*(a\/a**(-1))**(16\/7)*((a**(-2\/9)\/a)\/a**(2\/3))**(4\/19) assuming a is positive.\nAnswer: a**(3593\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = i**2. Let q = -18 + 39. Suppose -z + 2*a = -4, 0 = -z - a - 2 + q. Let t(h) = 7*h + 8*h - z*h. What is t(v(l))?\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*d - 16 + 64. Let t = 36 - d. Suppose 4*v - c = -3*c + 92, 69 = 3*v + 2*c. What is the remainder when v is divided by t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 404 and 124331.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f - 20 = 2*z, -11*f + 16*f = 3*z + 9*f for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1*(-30)\/(-35))\/(3\/(-21)). Let s be (-3)\/(153\/d) + (-223)\/(-17). Suppose x - 9 = o, x + 5*o - 2*o = s. What is the greatest common factor of 80 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*a - 4*a = -75*a - 44*a - 95 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((sqrt(209) + (2*sqrt(209) - sqrt(209)))*1 + sqrt(209) + -5*2*sqrt(209)))\/(sqrt(275)*-1 - (sqrt(11) + 3*sqrt(11)*-2 - sqrt(11))).\nAnswer: -7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 1 + -7 + (-23 - (-25 + 28) - 59)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 549, 583, 639, 717?\nAnswer: 817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 1\/2, -1309, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 16*t**2 + 24*t + 140. Is 26 a factor of a(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -39591 by 1.\nAnswer: -39591","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 15) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*m = -22*m - 15 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 66 and 343552?\nAnswer: 1030656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 AM and 1:20 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*w**2 + 6*w**2 + 8*w**2 + 46 + 20*w**2 - 6*w**2 - 45.\nAnswer: 39*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o + 4 = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -10607? (a) -2\/9 (b) 2\/9 (c) 1\/7 (d) -45 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -9601, -9447, -9189, -8827, -8361, -7791?\n\"Answer: 52*k**2 - 2*k - 9651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 4*w = -121, -4*j + 160 = -w + 6*w. Suppose -j*v + 36*v = 117. What is the greatest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5329 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from wqwqqqqqqqwwwqwqwwww.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 468 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(486)\/sqrt(576))\/(4*1*sqrt(2)*3).\nAnswer: sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.43 + -0.07. Let t = p - -3. Let f = -0.3 + t. Sort 1, f, 0.1 in increasing order.\nAnswer: 0.1, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 3*x - 3*v, 5*x - 8 = 3*x - v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide -1 by 459.\nAnswer: -1\/459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + j = 11, -2*t - 5*j + 50 - 63 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*f**3 + 10*f - 11*f - 7*f**2 + 2*f**2 + 2*f.\nAnswer: f*(f - 1)*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 221643 divided by -27?\nAnswer: -8209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7794478855\/72211623 - -1\/2188231. Let w = -108 - r. Let u = w + -3\/11. Which is bigger: u or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-3)\/(-9) + (-238)\/(-24). Let u = s + -10. Which is the closest to 0? (a) -2 (b) 2\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2 + 12620704\nAnswer: 12620704.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2*3\/6*(5 - 10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) be the first derivative of 640*b**3\/3 + 7403. Let k(c) = -17*c. Calculate k(o(g)).\nAnswer: -10880*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.4 + -0.8. Let d = g + 1.4. Let h = d + 1. Sort -5, 3, h in decreasing order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6328587155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3\/6)\/((-6)\/4)*-30. Suppose -8*s = -14 - i. Let c be 1*s - (-7 + -3 + 8). Solve r + 0*f = 3*f, -5 = c*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 220089677 to the nearest integer?\nAnswer: 14835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 3*y + 1629216 = 0, -5*z + 2*y = -1344544 - 1370809. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 158 minutes before 9:16 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 409, 2939, 9839, 23305, 45533, 78719?\n\"Answer: 366*r**3 - 11*r**2 + r + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = -3*s - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 67 + (-7 - -8) - (1072 - 1055)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 5*y - 1. Let s be r(1). What is the units digit of ((-624)\/(-5))\/s + (-6)\/30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -80*g*j**3*w**2 + 45*g*j**3*w - 2*g*j**3 + 8*g*j**2*w**2 - 2*g*j**2*w + g*j - 3*g*w wrt w?\nAnswer: -160*g*j**3 + 16*g*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -20455 - 123?\nAnswer: -20611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 23 = 2*h, t - 7 = h - 4*h. List the prime factors of 7772\/435 - h\/(-30).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (t - 1 + 1)*(-10891*t + 287 - 10899*t + 21787*t).\nAnswer: -3*t**2 + 287*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express -3*a**3 + 2*a**2 - 24*a**4 - 5*a**2 + 25*a**4 + a**2 in the form b + q*a**4 + k*a + t*a**3 + h*a**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 12665.73 litres to millilitres.\nAnswer: 12665730","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(95)\/((sqrt(50)*-4)\/sqrt(10)) + (-5 + -1 + sqrt(19))*3.\nAnswer: -18 + 11*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 657*q - 448*q + 2299 = 0 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -6. Suppose -114 = -5*g + d*g. Let b = 56 - g. Is b a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -5 + ((10 - 3) + -9 - 11)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a*a**(5\/2))\/a)**(-21) assuming a is positive.\nAnswer: a**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -3 - 778?\nAnswer: -781","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.4 and 413.\nAnswer: 165.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2093 + -41919\/20. What is the common denominator of -56\/135 and w?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 24489.1 - 22648. Let w = p - 1801.086. Let r = 40 - w. Round r to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7103 is divided by 21.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (135*l**4 + 624*l**3 - 624*l**3)*(-2*l + 2 - 2).\nAnswer: -270*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 PM and 10:08 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-1\/4)\/(w*w**(-15\/2)) assuming w is positive.\nAnswer: w**(25\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -332574 minus 37601439?\nAnswer: -37934013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 56*d + 4. Give t(1).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 4*a + 44 = 16, -2*j + 2*a - 10 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 19*i. Let c(w) = 11*w - 2. What is c(p(r))?\nAnswer: 209*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -f**2 + f + 110. Let g(j) = j + 1. Let s be g(8). Suppose 0 = -2*a + 7 + s. What is the smallest common multiple of a and u(-9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 29\/4 - 79\/12. Let q = 0.36 + -16.36. Let u = 19 + q. Which is the third biggest value? (a) j (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 114 and 380096349.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-130)\/(-715)*(-2640)\/(-15).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -1062 not equal to -1062?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((1008\/35)\/4)\/((-1288)\/(-35) + -37).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 17520, 35002, 52474, 69930, 87364, 104770, 122142?\n\"Answer: -w**3 + w**2 + 17486*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 196652019893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*s**2 + 10*s**2 + 6*s**2.\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 5*l**2 + 29*l - 52. Let a be j(-20). Let v = a - 754. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 7}. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -7*a**3 - 112*a**2 + 5*a + 72. Calculate g(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 83809?\nAnswer: 11, 19, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1332 and (16\/8)\/(2\/5) + 85.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 1862 = 187*b + 175, -2*f + 3*b + 50 = -10*f - 15 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, c: 2, z: 1}. What is prob of picking 2 c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*c = -2*d - 3*d + 5, -5*c - 4*d = -4 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.114 - -5.114. Let a be 12\/(-10) - (-20)\/25. What is the second smallest value in 1\/2, a, -5, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 503289?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*2*sqrt(99) + sqrt(99) - sqrt(99))\/(1*sqrt(36)\/sqrt(4)) + -4)*1.\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.5 * 42771.47.\nAnswer: -106928.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1881 + -569. Let a = q + -23545\/18. Calculate the common denominator of 47\/2 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = -2*n - 30. Let k(d) = -16*d. Let l(p) be the third derivative of 5*p**4\/24 + p**2. Let f(t) = n*l(t) + 3*k(t). Let h(v) = 2*v. Give f(h(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-3) - 2\/3)*1746\/(-97).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((1\/4)\/(-1))\/((-15)\/48)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 947.0632km in meters?\nAnswer: 947063.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4508)\/(-7889))\/(10\/(-42)).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82 = -10*c - 2. Let x(r) = 6*r + 0*r - 3*r - c. Give x(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44473437 is divided by 228.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0013355543 to four decimal places.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8 + 9. Let n be (-3)\/(12\/(-40)) + d. Suppose -19*h + 6 + 13 = 0. Calculate the highest common factor of h and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(20) + sqrt(500)*-2)\/(1*sqrt(324)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:34 PM and 7:16 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 3050 (base 6) to base 9.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 43059890089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 53 (base 11) to base 12\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*h**3*q - 54*h**3 - 2*h*q + 1287*h + q + 3 wrt h?\nAnswer: -60*h*q - 324*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -4.02 and -1?\nAnswer: 4.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19823150 is divided by 404554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-20)*-2)\/((-6)\/110)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 7 and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 9*j - 80. Let i be (-10)\/(-4)*16\/j. Suppose -2 = -4*o + i. Calculate the lowest common multiple of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from qiyhqjy.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + -2*(sqrt(14)\/sqrt(2) - sqrt(7)))*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/7*(-2)\/(10*1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = -592\/2023 - -2\/289. Which is smaller: y or 8.8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 782351 times 2\nAnswer: 1564702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:09 AM and 8:13 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = -650 + 688. What is the remainder when 221 is divided by j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 814056*-0.2\nAnswer: -162811.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4590 = a - 11698. Suppose 0 = r + a + 44892. What is r rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 479, 487, 483, 461, 415, 339, 227, 73?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c = -c - 19. Let n = c - -41. Calculate the lowest common multiple of n and 6\/1 - 1*2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9\/(-90)*5*0\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*r + 2*r + 11196. Suppose -5*d - r = 3*o, 11 = 4*o + 3. Round d to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 3324 = -2*o - 2*b, 0 = b. Suppose 7*t - o = t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 612 minutes after 4:19 AM?\nAnswer: 2:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -t - 12 = 5*b, -t + 10 = -3*b - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(5700) + 5*(sqrt(5700) - (sqrt(5700) - sqrt(5700)*-1 - sqrt(5700))) - sqrt(5700)) + sqrt(5700)))\/(sqrt(27)*5 - sqrt(972)).\nAnswer: -50*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5 - -7. Let y be (2 + -8)*w\/4. Let b(p) = -p - 1. Let k be b(y). Solve -l + 3 = k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -26074 or -22387?\nAnswer: -22387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (18 - (-13 + 37)) + (-1 - 11) + 2.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*f = 6*f - 268800. Does 56 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = g**3 + 2*g**2 - 5*g + 2. Determine k(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express 1 + 2*s**4 + s**3 + 6 - 5 as n*s**4 + v*s**3 + f*s + u*s**2 + i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1649, -1475, -1305, -1139?\nAnswer: -977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 1037*g**2 + g - 4. Let b(f) = 8*f**2 - 1. Determine -6*b(d) + 2*l(d).\nAnswer: 2026*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 118 = -2*o, 26 = 3*l - o - 44. Calculate the highest common factor of 242 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/c**0)**(-2)\/(c**(-2\/5)*c*c)**(-34) assuming c is positive.\nAnswer: c**(262\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -326*b**2 - 5*b + 3. Let q(n) = 31*n. Give q(g(i)).\nAnswer: -10106*i**2 - 155*i + 93","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 75055 (base 10) to base 16.\nAnswer: 1252f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.03 - 0.47. Let j be (2 - 7 - -1) + -1. What is the closest to 0.1 in -0.2, j, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.149 + -1.5?\nAnswer: -1.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1.4, -18\/17, 0.3, 5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + (-6 + 6 - 0) + (1 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 54 a factor of (1 - 786\/(-24))*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9023 - 9027. What is the fourth smallest value in 0, y, 16, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1025 - 899 = -48*p + 11*p + 2309 for p.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-420)\/26 + 18\/117. Let d(o) = -3*o - 40. Let i be d(w). What is the third derivative of -12*n**4 - 6*n**2 - 5*n**4 - i*n**2 + 3*n**4 wrt n?\nAnswer: -336*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1.768, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (18\/15)\/(12\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4 (base 9) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 21*g**4 - 3*g**3 + 13343*g**2*z**2 - 3*g*z - 569*g - z**2 + 880 wrt g?\nAnswer: 252*g**2 - 18*g + 26686*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 17 + -18 + 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 9 - 3 = 0. Let n(v) be the second derivative of -v**4\/12 - 2*v**3\/3 + 2*v. Let z be n(i). Which is the closest to z? (a) 3 (b) -2\/3 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 7 - 73639826.\nAnswer: -73639819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*j + 3*m - 210, -3*m = -2*j - 0*m - 108. Let w = -46 - j. Suppose 4*h = 2*o + o + 4, 0 = w*h + o - 5. Solve -p = 4 - h for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24259 to the power of 1\/2, to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 3*b**5\/5 + 276*b**4\/5 + 5121*b**3\/5 - 11580*b**2 + 10500*b = 0. Calculate b.\nAnswer: -50, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -3*r**3 + 6*r**2. Let z(u) = -3*u**3 + 5*u**2. Suppose -5*t + 4*p - 29 = 0, 13*t - 9*t = -3*p - 17. What is t*z(a) + 4*l(a)?\nAnswer: 3*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = 15 - 14.115. Let a = z - -0.115. Which is greater: a or -21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.1 and -17431.\nAnswer: -17431.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.96 - -0.04. Let j = p - 1.5. Let k = -0.314 + 0.014. Which is the smallest value? (a) 0.4 (b) j (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 3*y = -31806018, 0 = o + 2*y - 1755435 - 14147553. Round o to the nearest one hundred thousand.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 61 divide 458433801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/(o\/(o**(2\/9)\/o*o)*o))**(-24)*o**(2\/5)*o*o*o*(o*o**3*o)\/o assuming o is positive.\nAnswer: o**(391\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -121 (base 9) to base 4\nAnswer: -1210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cscxppxcxf. What is prob of picking 1 s and 1 f?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**3 + 21*q**2 + 146*q - 198. Calculate c(-14).\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 109 + -159. Let w = b + 70. Solve -q + 5*y = w, 5*q - 5*y - 50 = -10*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 888.356627 to two decimal places.\nAnswer: 888.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 219*c**2 - 494*c**2 + 275*c**2 - 34*c**3 + 42*c**3.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 21 + -18. Let x(c) = -5*c**2 - 5*c - 15. Let a(f) = -f**2 - 1. Let g(v) = q*a(v) - x(v). What is the tens digit of g(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 288 is divided by 98.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*i**2 + 11*i**2 + 27*i**2.\nAnswer: 34*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a = -7*n + 5*n + 152, 0 = 2*a. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a = 4*y - 18 + 6, 2*y - 4*a = 6. Is 14 a factor of -4 + y - (-106 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 7052743*x + 5495712 wrt x?\nAnswer: 7052743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 4921, 9842, 14763, 19684, 24605, 29526?\n\"Answer: 4921*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 6\/(-1*2\/(-4)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -10515042 (base 6) to base 12\nAnswer: -135a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -186724 + -1?\nAnswer: -186725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 357188*t - 4*t**2 - 357188*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 15 + -15.0045. Round r to 3 dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 911 divided by -4\nAnswer: -911\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4\/(-10))\/(63\/15).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = 8*m**2 + 315*m - 2504. Determine k(8).\nAnswer: 528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1\/1*(1 + 0). Suppose -v + 29 = f. What is the remainder when v is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 48443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = o - 6*o. Let m = o + -8. Let w = -596 + 600. Are m and w non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 24*i**3 - 5*i**2 - 13*i - 42. Let b(o) = -o**3 + o**2 + o + 4. Determine 11*b(f) + t(f).\nAnswer: 13*f**3 + 6*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -3e (base 16) to base 4\nAnswer: -332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 20742 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -246c59 (base 13) to base 10\nAnswer: -872114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/7 in 0.3, -0.5, 4, -11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**3 + d**2 + d. Let a(r) = -r**3 + r**2 + 1. Let s(y) = 2*a(y) + h(y). Let k be (-19 - (-2489)\/133) + 10\/(-7)*-3. Determine s(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3*7\/84)\/((-10)\/(-280)))\/(-3)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3086*i - 1 + 697*i**3 - 371*i**3 - 327*i**3.\nAnswer: -i**3 - 3086*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6 and -0.06115.\nAnswer: 0.3669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 9, 1, 0 in descending order.\nAnswer: 9, 1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -44 = 10*u + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 32 - 299\/10. Let a = 195 - 199. What is the common denominator of (4\/(-480)*a)\/(2\/685) and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*h + h - 2*h)*(14*h**2 + 3*h**2 - 2*h**2) + 3*h**3 + 0*h**2 + 0*h**2 + (-h**2 + 2*h**2 - 2*h**2)*(0*h - h + 0*h).\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 7:43 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1722 + 1288*v - 1722 - 5755*v.\nAnswer: -4467*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -3*h + 7. Let p be o(4). What is the second biggest value in -1\/3, 1.2, p?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 51435?\nAnswer: 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -169030768 or -169030765?\nAnswer: -169030768","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:01 AM and 1:50 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {f: 1, h: 5, b: 3, v: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 132*l + 7553. Let d be f(-28). Solve d*n = 3847*n + 30 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*z = 2*d - 11, -27 = 2*d + z - 20 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -3 - -1) + (-10 - (1 - 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) be the third derivative of 11\/30*p**5 - 7*p**2 + 0*p**4 + 0*p + 0*p**6 + 0*p**3 + 1\/21*p**7 + 0. Find the third derivative of i(q) wrt q.\nAnswer: 240*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 5780544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gvbbxgp.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = z**3 - 30*z**2 - z + 30. Give m(30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 22261712 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n**3 - 184*n**2 + 1190*n = 0.\nAnswer: 0, 7, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -8*t - 17*t + 38*t - 12*t. Let v(d) = 9*d**2. Give v(j(k)).\nAnswer: 9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 6 + 484\/(-16) + -30 + 40 and 103\/6344?\nAnswer: 6344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-16 - 2) + 7 + (-9 - 15).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 17821?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 281823907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -86409 divided by 28803?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.499 * 90.7.\nAnswer: -45.2593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3 less than 26.1327376?\nAnswer: 29.1327376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-21)\/(-1232)*-4)\/(12\/16).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -19 + 19. Let c(x) = -x**3 + 2*x - 4. Let t be c(y). Let m be t\/(0 - 4) + 1. Solve 3*n + 14 = -m*h, 5*h = -2*n + 5*n + 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -77*k - 200 - 31 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f - 4*i - 20 = -0*i, -20 = 4*i. Suppose f = -6*s + 103 - 25. Suppose s*l - 4*l - 504 = 0. Does 28 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 17618 and 230.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Add together 104.84531 and -174246.\nAnswer: -174141.15469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the first derivative of 22\/5*p**5 - 17 + 0*p + 0*p**4 + 0*p**3 + 9\/2*p**2. What is the second derivative of s(f) wrt f?\nAnswer: 264*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -12110011002 (base 3) to base 7.\nAnswer: -624515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (9 - 21 - 6)*(2*y - 2*y + 2*y)*(-2 + 4 - 3).\nAnswer: 36*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 58205 or 58228?\nAnswer: 58228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1116094 is divided by 14685?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -6*h - 10. Let l be s(-2). Let f(v) be the first derivative of -1 + l*v + 2*v**2 + 2\/3*v**3. Factor f(n).\nAnswer: 2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*j - 1102 - 3599 = -5*t, -5*t + 3532 = 3*j. List the prime factors of j.\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -29076, -58040, -86904, -115668, -144332, -172896, -201360?\nAnswer: -229724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 393*n - 19*n + 51*n to v + u*n and give u.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n**2 - 36 - 29 + 103 - 38.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -881502746588564 - 1?\nAnswer: -881502746588565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 - -10. Solve -r = 2*v - 0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -33 - -17. Does 13 divide (u\/(-3))\/((-2)\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 47330, 378614, 1277798, 3028832, 5915666, 10222250?\n\"Answer: 47325*i**3 + 9*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 9\/10 of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 3344574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 e when three letters picked without replacement from {p: 4, e: 3, o: 1}?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00001073176104 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1950 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 23211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:18 PM and 4:46 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 4, z: 15}. What is prob of picking 3 m?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is r in 15*r**5 - 110*r**4 - 615*r**3 + 5190*r**2 - 7280*r = 0?\nAnswer: -7, 0, 2, 13\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**(-2)\/y)**(-15\/8)*y**1\/y**(1\/5))\/((y*y\/y**1*y*y)\/y*y**(3\/7)*y\/y**4*(y*y*y**(3\/2))\/y) assuming y is positive.\nAnswer: y**(1259\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 201 = -552*v - 17463 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 87067 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.19 - 0.09. Which is the nearest to -1? (a) m (b) 2 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the first derivative of 15*j**6\/2 + 884*j**3 - 3027. Find the third derivative of x(k) wrt k.\nAnswer: 2700*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5 + -1 + -2 - -18. Is q - (3\/3 + -3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5275*r + 2629*r - 75 - 141 = -2622*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + -2 - (1 - (-4 - 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/(t\/(((t\/t**(1\/9))\/t)\/t)))\/t)\/t)**4 assuming t is positive.\nAnswer: t**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 PM and 5:49 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1947*c*g*y**4 + 7*c*g*y**2 + 17*c*g*y + c*g - 3*c*y**3 - c*y**2 + 3*g*y**2 wrt y?\nAnswer: 46728*c*g*y - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w and 1 x when two letters picked without replacement from {l: 3, x: 1, w: 2, r: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = 14*c**2 + 3*c - 13. Calculate the remainder when 502 is divided by d(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1059, -2120, -3181, -4242?\nAnswer: -5303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((y*y\/(y\/(y\/(y\/y**0*y))*y))\/y*y)\/y*y)**30)**(-1\/23) assuming y is positive.\nAnswer: y**(30\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 2*j**2 - 136*j + 2488. Give t(39).\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Is 3717 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-1\/15)*q**(-1))**32 assuming q is positive.\nAnswer: q**(-512\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bzb when three letters picked without replacement from zhzhzhhhbzhhzhhb.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-18)\/(-21))\/((-100)\/175)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23 - -34. Let t(j) = -j**2 + 41*j + 18. What is the units digit of t(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + 0)*15\/(-75) - -15. Let c(i) = 16*i**2 + 0*i**2 - i**3 + 18*i - 20 - 2*i**2. What are the prime factors of c(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -23 divided by -131291?\nAnswer: 23\/131291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00005709 rounded to 5 decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1, 181 in descending order.\nAnswer: 181, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 18 = 5*r, 5*w + 1 - 2 = r. Let t be 1*0*(-3)\/3. Let v = t + 4. Sort v, -3, w.\nAnswer: -3, w, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 95792491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f = 3*f. Suppose -2*k + 5*l + 2 = 13, k - l + 7 = f. Let n = k + 17. Calculate the remainder when 25 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 3671, 13639, 30247, 53489, 83359, 119851, 162959?\n\"Answer: -p**3 + 3326*p**2 - 3*p + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1335195.\nAnswer: 3, 5, 29671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*w - 2*g = -2 + 1, 5*w - 3*g = -14 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4383\/100 + 175\/4. Which is the second smallest value? (a) j (b) 1\/6 (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -825433 or -825434?\nAnswer: -825433","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4733, 5888, 7033, 8162, 9269?\nAnswer: 10348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -12511544, -12511547, -12511550, -12511553, -12511556?\n\"Answer: -3*j - 12511541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/66*(-979616)\/(-3036).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is p in p**2 - 17108*p + 71689827 = 0?\nAnswer: 7337, 9771","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -22577, 1.18, -2?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12*o**3 - 227*o**2 + 10*o**3 + 227*o**2.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -2*t + 13. Let h be f(9). Which is the third smallest value? (a) -3\/4 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 2*s - 21. Let o(j) = -j + 14. Let z(k) = 7*o(k) + 5*x(k). List the prime factors of z(11).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1026, 1, 163, -0.5, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3561 + -3562.5. Which is greater: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 147\/128 in -2, -3, 4, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.066 - 3.566. Let d = j - -3.461. What is d rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) be the third derivative of 1\/42*x**4 + 4*x**2 + 0 + 0*x + 1\/210*x**5 + 1\/21*x**3. Suppose p(s) = 0. What is s?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35388671 to the nearest integer?\nAnswer: 5949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n = 2*k + 4, 10 = 3*k - n + 32. Sort -18, 2, k.\nAnswer: -18, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g = -13 - 32. Let i = -9 - g. Let s(l) be the first derivative of -l**4\/4 + 7*l**3\/3 - 5*l**2\/2 + 7*l - 2. What is s(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 87698*u**4 + 2*u**2 + 4*u + 11043 wrt u?\nAnswer: 2104752*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 62*r - 29*r + 4*d = 28*r + 56, -4*r - 47 = -0*r - 7*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be -31 - (4\/(-2) + 42\/14). Let c = -31 - p. Let z be (2 + -4)\/(-1)*(c + 1). Solve 3*d = -9, -z*d - 13 = -0*k - k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 57811*b**2*z**2 + 3*b**2*z + b**2 + 3*b*z**2 + b + 1608*z**2 + 4 wrt b?\nAnswer: 115622*z**2 + 6*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 2\/5, 20, -2\/13, 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 163, 418, 767, 1204, 1723?\nAnswer: 2318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-4)\/6 + (-28)\/(-33). Let u = 191\/244 - 2\/61. Let d = 4 - 9. What is the nearest to 2\/7 in d, u, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/23 in -6\/7, 3, -1\/6, 19.5, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -901 (b) -0.12 (c) 5 (d) 1\/6 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from htttttthhhhtktktht. What is prob of picking 2 t and 2 k?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 19*l - 381 + 366 + 0*l - 3*l to s*l + t and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -63 = -5*p - 8978*d + 8976*d, -2*p - d - 2*d = -34 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 9111 - 467790 = -2*q, -715314 = -3*q - 3*l. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -3*d**2 + 2. Let r(w) = -w + 19. Let h be r(15). Let t(a) = 7*a**2 - 5. What is h*t(n) + 10*i(n)?\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 12 - 8. Let g be (-12)\/s + 3 - (-9 - 1). Find the second derivative of 2*o + 18*o**5 + g*o - 2*o wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = 5*v - 6. Which is the smallest value? (a) v (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 56 - 54. Let a = t - -3. Suppose -a*x + 0*x = -25. Solve 3 = x*y - 2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + 2 + (-12 - -6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72 = -21*h - 12. Which is the second biggest value? (a) 0.02 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 205774 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k - 2*t - 20 = 1, 0 = -4*k + 5*t + 27. Solve -15 = -k*x - 0*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -190, -288, -562, -1102, -1998?\nAnswer: -3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 481603 is divided by 21865?\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 427455\/85 - 5\/((-935)\/22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 47 = 5*b, 8*b = 4*u + 3*b + 88. Let i be u*-2*1\/6. Let s(w) = w - 7. Let a be s(i). Solve -4*q - 18 = a*k, -4*k - 28 + 12 = 3*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6b181 (base 13) in base 16?\nAnswer: 2fcdf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3.77 + 0.13. Is 0.1 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 divided by 10497.\nAnswer: 8\/10497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -54 + 56. Solve 7 = 4*k - j*k + 5*s, 0 = -3*k - 3*s - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 144159246, 144159245, 144159244, 144159243?\n\"Answer: -y + 144159247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of -u**5\/210 - 19*u**4\/7 - 227*u**3\/21 - 27*u**2 - u. Factor l(d).\nAnswer: -2*(d + 1)*(d + 227)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -3*y - 18 = -6*p, p - 1241066*y + 1241064*y - 9 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -140, -282, -424, -566?\nAnswer: -708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 120*t + 1000 = 130*t. Suppose 102*c - t*c = -8. Let o(f) = 2*f**3 + 6*f**2 + 3*f - 1. What is o(c)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 19, 45, 93, 169, 279, 429?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 301 + -299. Suppose -2*y + q = -3*q + 12, -t*q + 6 = -2*y. Suppose -r = 2*r - 9. Solve 2*d - d + r = 4*c, y = 2*c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47676131 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.42 + -38.58. Let f = z - -38.9. Let d = 5.03 - 0.03. Which is the closest to f? (a) 1 (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 2 m when four letters picked without replacement from ssmmsshssmsshsussssh?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 1, -8, 18, -223 in descending order.\nAnswer: 18, 4, 1, -8, -223","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 210 - 188. Let f(z) = z**2 - 11*z - 11. Let c(b) be the second derivative of b**3\/3 + b**2 - 6*b. Calculate w*c(m) + 4*f(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7344, -15906, -24454, -32988, -41508, -50014?\nAnswer: -58506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -571, -2836, -6603, -11866, -18619, -26856?\n\"Answer: f**3 - 757*f**2 - f + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(475) + -5.\nAnswer: -15*sqrt(19) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**8)\/(c\/(c*c*c*c\/c**(-1\/2)*c)))**(1\/50)\/((c**(-2\/13)*c**(-2))\/(((c\/c**(-4\/5))\/c)\/c**(6\/5))) assuming c is positive.\nAnswer: c**(443\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - -1 - -2 - (165\/(-660) + 822\/24).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 25132 in 12, 0.2, -0.2, 0.19?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i + 1. Let f(s) = -10*s + 4. Let g(t) = -f(t) + 4*x(t). Let n(l) = -l. Determine g(n(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5493\/8 + 16459\/24. Which is the closest to -1? (a) -2 (b) j (c) 5\/2 (d) -77.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 62.5 - 48. Let h = -14 + j. Put h, 2\/17, 1\/11 in decreasing order.\nAnswer: h, 2\/17, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 0.2, 1\/36, -2\/3, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 113416721 to the nearest integer?\nAnswer: 10650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 6, -3\/11332, -0.3 in descending order.\nAnswer: 6, -3\/11332, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 225*k - 171. Let u(y) = -47*y + 34. Let v(h) = 5*f(h) + 24*u(h). Suppose 0 = -2*o - 0*o - 26. Let x be v(o). Solve 4*t = -x*t - 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34515279761 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 514 minutes after 4:05 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -2953 divided by -3113?\nAnswer: 2953\/3113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 146 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (55\/15 + 17\/(306\/(-108)))*(-75)\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/21)\/(1\/32)*(-1862)\/(-266)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tnt when three letters picked without replacement from ztennbt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-o + 2*o + o - 2*o - 2*o + 3*o + (-1 + 1 - 2)*(-o - 5*o + 4*o))*(-3 - 2*o + 3) in the form s*o**2 + y*o + j and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 618 or 621?\nAnswer: 621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3175 - 2*s**3 + 6344 - 2*s + 73*s**4 - 3171 to u*s + v*s**4 + m*s**3 + t + l*s**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or 1\/1870445163?\nAnswer: 1\/1870445163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-878480)\/(-38781))\/(-79) + (-2)\/(-9).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 665581520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20399 is divided by 20023?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-2)*2*(-30)\/(-90)*42\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = -213 + 193. Does 5 divide (146\/4 + 1)*(-32)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - 2) + (-9 - 6) + 6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -4.9236734 (b) -0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4863*t**6 + 3*t**5 + t**2 + 18*t + 7518 wrt t.\nAnswer: 583560*t**3 + 180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i = -2*q + 2, 0 = 2*i - q + 4*q - 11. Let a be ((-19)\/4 - i)*-4. Let o(d) = 2*d + 28. Let p be o(-12). Solve 3*x - 3*y = 3, -p*x - a = 3*y + 8 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -20211010311 (base 4) in base 6?\nAnswer: -120112033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 40\/52*((-14560)\/(-84))\/20.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) be the second derivative of 5*l**4\/12 - 155*l**3\/6 - 80*l**2 - 298*l. What is w in r(w) = 0?\nAnswer: -1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22*t + 375*t + 24*t)*(-t**3 + t**3 - 3 + 2*t**3 + t**2).\nAnswer: 754*t**4 + 377*t**3 - 1131*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -745.520641 to 1 decimal place.\nAnswer: -745.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 22*n - 20*n + 46. Let g = n - -20. Let d be -1*(g + 9\/3). Solve d*r - 5 = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p - 16. Let t be c(16). Let k(d) = d**3 - 2*d**2 - 2*d + 4. Let x be k(3). Let q be (x + -8)\/((-1)\/4). Solve -q*b = 3*u + 22, -b + u + u = t for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 11*n - 3465 = 0. Let a = 238 - n. Let h(f) = -f**3 + 7*f**2 + 3*f - 7. Determine h(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = -5*c - 3*g - 51, 3*c - 5*g = 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-154 - -30) + (367 - 285)\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 13 = o, 15 = -3*o - 2*o. Suppose -3*r = -d*r + 4*i - 34, -42 = -2*r + 5*i. Factor -4*p**3 + 2*p**4 - 24*p**5 + r*p**5 - 2*p**3 + 2*p**4.\nAnswer: 2*p**3*(p - 1)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-1)\/(-55) + (-2)\/10. Let r = 2585\/36 - 644\/9. What is the nearest to r in 5\/4, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*b**2 - 3*b**2 + b**2 + (2*b + 2*b - 3*b)*(-1 + 1 + 4*b) - b**2 + 2*b**2 - 2*b**2 + 17*b**2 + 5*b**2 - 3*b**2.\nAnswer: 20*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1209434 is divided by 134380?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 67\/1190856 and -35\/2946864?\nAnswer: 173864976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34*j + 27*j + 53*j + 54*j.\nAnswer: 100*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102*b = 109*b - 413. Suppose -65*l + b*l + 6474 = 0. What are the prime factors of l?\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8957 - 3*s**2 + 8925 - 17882.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 + 5*f**2 + 4*f. Let c be d(-4). Let g = 13 + -11. Suppose -g*l = l. Is c greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 696936133 to the nearest integer?\nAnswer: 26400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8683 and 1538262?\nAnswer: 29226978","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-22)\/(-11))\/1*(-3)\/21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1045 and 16016.\nAnswer: 1521520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 6608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -617*q**2 - 2*q + 462*q**2 - 936*q**2 + 44 + 190 wrt q.\nAnswer: -2182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 52 and 13988.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 546240 = 26*n - 6*n. What is the thousands digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = v + 4. Let a(q) = -q**3 - 8*q**2 - 2*q - 12. Let h be a(-8). Suppose 0 = -h*n - 13 - 7. Give s(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9835 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the second derivative of f**4\/6 + 586*f. Let h(d) = -43*d + 1. Calculate h(p(j)).\nAnswer: -86*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/2*(-72)\/(-48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 3*c - 1. Let z be l(5). Calculate the greatest common divisor of z and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3599 = -3*i + 5*q + 3613, -6*i = -q - 46 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s + 5 = -1. Let f be 8\/6*3\/s. Solve -f*b = 4*y + 6, 4*b + y = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10615133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6 - 121*l + 28*l + 38*l + 39*l wrt l?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -200\/3 + 66. Let z(n) be the first derivative of -n**4\/4 - 8*n**3\/3 - 7*n**2\/2 + 2. Let h be z(-7). Which is the nearest to h? (a) -2\/9 (b) w (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = z. Let h(n) = 818*n - 5 + n**2 + 409*n - 2*n**2 + 398*n + 7. What is h(i(s))?\nAnswer: -s**2 + 1625*s + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.02 - -0.42. Let k = 3707\/15 - 247. What is the third smallest value in h, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**2 + 512*j + 2460.\nAnswer: 4*(j + 5)*(j + 123)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 113551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -j + 8, -4*q + 19 + 2 = 5*j. Solve 0 - 20 = j*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f - 10 = 0, 3*c - 4*f + f - 51 = 0. Suppose 0 = -2*w - 3*v + 50, -35 = -w - 4*v - 0*v. Calculate the highest common divisor of w and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -13\/2, 3\/4, 12653?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -56, -227, -512, -911?\nAnswer: -1424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 570752 and 364?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -18 + (-25 - -15) - (3 - (-6 + 20)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 77, -167, -569, -1123, -1823?\n\"Answer: w**3 - 85*w**2 + 4*w + 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 43481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = -8185\/23 - -356. Does j = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.6 and 35.4416?\nAnswer: 21.26496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6341367ml to litres.\nAnswer: 0.0006341367","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llellelllllllellle. Give prob of picking 3 e and 1 l.\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s = 135975 + -135743.036. Let a = s + -232. Round a to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -254061253, -254061250, -254061247?\n\"Answer: 3*c - 254061256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y = -12005 + 2789. Suppose -3*d = 3*x - 744 - 135, d = 4*x - y. Suppose 2*m - 4*m - 142 = -p, 2*p = 5*m + x. Is 33 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-10)\/(2\/((12\/4)\/(-3))). Suppose -j*q = -105 - 35. Let i = q + 40. What are the prime factors of i?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 89140*m**3*r**3 + 5*m**3*r**2 - r**2 - 27*r wrt r?\nAnswer: 534840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 465 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = 7*v**2 - 3*v - 3. Let t(y) = 20*y**2 - 10*y - 8. Calculate -8*j(g) + 3*t(g).\nAnswer: 4*g**2 - 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(5\/4))\/(f*f**(-3)\/f)*((f*f**(-1))\/f)\/(((f**(2\/5)\/f)\/f)\/f))\/(((f*f**4)\/(f\/(f\/(f**(-6)*f*f))))\/((f*f**7)\/f*f\/f**(-6)*f)) assuming f is positive.\nAnswer: f**(207\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -814 (b) 0.4 (c) -3\/4 (d) 1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -46 - -49. Suppose -3*y = -2*l - 185, -3*l + y - 258 = h*y. What is the units digit of l\/5*(-15)\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 2ad (base 16) to base 11\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18 - -36. Let r be 3*3\/g*6. Sort -1, r, 5 in increasing order.\nAnswer: -1, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 91500 and 54900.\nAnswer: 274500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from aqbblmlmo. What is prob of sequence oo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 6:38 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5 + 7. Suppose 3*u - 2*u - d = 0. Sort u, 0, -4 in decreasing order.\nAnswer: u, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 10262 + 2202 - 858556*q**2 + 858557*q**2 + (-1 - 2 + 4)*(-q**2 - q**2 + 3*q**2).\nAnswer: 2*q**2 + 12464","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the third derivative of r**7\/210 - r**6\/6 + r**5 - 4105*r**3\/6 + 2156*r**2. What is the first derivative of i(b) wrt b?\nAnswer: 4*b**3 - 60*b**2 + 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r - 2*v = -2, r - 3*r + 6 = v. Solve 25 = -r*u + q + q, u = -3*q + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1, 277, 551, 823, 1093, 1361?\n\"Answer: -n**2 + 279*n - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*u - 2*u - 11 = -l, 5*u = -3*l + 3. Suppose -8*c + 13 + 139 = 0. Suppose -25 + c = -u*k. Solve k*d - 3 = -d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 37752 divided by -6\nAnswer: -6292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -27*j - 49. What is y(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8710 is divided by 960?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of 17*u**7\/21 + u**5\/10 - 19*u**3\/6 - u**2 - 17. Find the third derivative of l(q) wrt q.\nAnswer: 4080*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 4:59 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a. Let d(h) = -871785*h**2. What is d(g(k))?\nAnswer: -871785*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 30872 and 16344.\nAnswer: 277848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 103342 (base 14) in base 5?\nAnswer: 114443302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y\/y**(4\/15))*y*(y*((y\/((y\/y**(4\/7)*y)\/y))\/y)\/y)\/y)\/(y**(-2)*y**3\/y))**(25\/6) assuming y is positive.\nAnswer: y**(-85\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-819)\/(-14))\/9*(-12)\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 684?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a be (9\/18)\/(2\/8). Let w(c) = -c**2 - 7*c - 6. Let x be w(-6). Is 137 + 2 - x\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10997?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 5\/3, -115, 4, 4\/9 in ascending order.\nAnswer: -115, 4\/9, 5\/3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3571 (b) -1\/4 (c) -25 (d) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*n**2*p**3 + 15*n**2*p - 858*n*p - 14555*p**3 wrt p.\nAnswer: 18*n**2*p - 87330*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*p**5 + 110*p**4 - 470*p**3 + 800*p**2 - 605*p + 170.\nAnswer: -5*(p - 17)*(p - 2)*(p - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -31392 less than -239?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let 32*l**4\/7 + 400*l**3\/7 + 1346*l**2\/7 + 600*l\/7 + 72\/7 = 0. Calculate l.\nAnswer: -6, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((2 - 6)*-1)\/(4\/(-8)). Let n be 4\/j - 1\/(-5). What is the nearest to -1 in n, -1, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 6*c + 2*c = 8, l + 3*c = 29. Suppose 0 = a - 0*a - l. Calculate the smallest common multiple of a and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:32 AM and 11:02 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4\/56837 or 0?\nAnswer: -4\/56837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/9)\/((-30)\/(-75)) + (-4)\/(-12).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1.9, 0, 5?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (27\/(-54))\/(2\/(-12))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6528923?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xb when two letters picked without replacement from {u: 1, p: 1, k: 1, b: 1, x: 1, t: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Express (0 + 4 - 2)*(2 + 3 - 2 - i**3) as b*i**3 + f + l*i**2 + z*i and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Total of -4 and -73332799.\nAnswer: -73332803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence knha when four letters picked without replacement from {k: 1, n: 1, a: 1, h: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the third derivative of u**5\/20 + 3*u**2. Let z be -2 + (1 - (0 + -3)). Let n(a) = -3*a**z + 3*a**2 - 2*a**2. Determine m(n(t)).\nAnswer: 12*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -5*r**4 + 5*r**4 - r**4 + (-1 - r**3 + 1)*(2*r - 3*r - r) - 24*r**4 - 15*r**4 + 31*r**4.\nAnswer: -7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -20286750 divided by 1\nAnswer: -20286750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i*i*i*i**9)\/i**(7\/5))\/(i**(-1))**(2\/5) assuming i is positive.\nAnswer: i**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -d + 4 = h, 2*d = 3*h - h - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1062 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: Expand (-r + 0 + 0)*(-13*r + 24*r - 3*r + (0 - r + 0)*(1 - 4 + 4))*(-2 + 0 + 4).\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let -2*w**4 + 892*w**3 - 73928*w**2 - 12873840*w + 1592539200 = 0. Calculate w.\nAnswer: -122, 148, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be 88\/15 - (-16)\/120. Let t(b) = -b**3 + 8*b**2 - 4*b - 4. Is t(g) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 564\/16 + (-1)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - 1. Suppose 0*q + 4*q - 16 = z. Suppose 0 = -5*i, 3*c - 2*i = 7*c. Solve -o + 0*o + q = c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -838, -1675, -2512, -3349, -4186, -5023?\nAnswer: -5860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*j**2 + 89*j**3 + 0*j**2 + 12*j**3.\nAnswer: 101*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l = 20.9 - 22.3. Sort 2\/19, -3, l in descending order.\nAnswer: 2\/19, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 3*q. Let w(l) be the second derivative of 329*l**3\/2 - 147*l + 1. What is u(w(v))?\nAnswer: 2961*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 PM and 2:37 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8*10\/(-900))\/(8\/(-20)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*b**3 - 112*b - 230 + 230.\nAnswer: -3*b**3 - 112*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 13129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is ((-7)\/266)\/(4\/8)*2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 213 (base 4) to base 2\nAnswer: 100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2.149 - 0.149. Suppose 1 = -5*w - 14. Let j be (-2)\/3*w\/(-4). Which is the closest to j? (a) 5 (b) -2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28 + -15 + -6 + -59.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 421288042*g - 288755234.\nAnswer: 421288042","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9207\/16 + -573. Let h = 2830675342\/75 - 226556111\/6. Let d = 17013 + h. Find the common denominator of d and v.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 95\/5963 or -1?\nAnswer: 95\/5963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 297 and 54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1 - 20.26.\nAnswer: -20.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -224 by 3.\nAnswer: -224\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 70 (base 16) to base 2\nAnswer: 1110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 156117932.\nAnswer: 2, 883, 44201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 52382 + 27689. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28 = -3*b - 5*q - 42, -3*q - 3 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*n - 0*d + 3*d + 679, -4*n - d = 546. Let p = -129 - n. Solve -5*y = -5*j - 40, 2*y = -5*j - y - p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37*q - 37*q + 2*q**2.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 217569712 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*s - 3*s + 0*s)*((-3 + 1 + 3)*(-3*s**4 + 2*s**2 - 2*s**2) + (-5*s + 2*s + s)*(42*s**2 - 42*s**2 - 3*s**3) + (-6*s**3 + 3*s**3 + 2*s**3)*(-1 + s + 1)).\nAnswer: -10*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5828 divided by -62.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8552698t to micrograms.\nAnswer: 855269800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(360)\/sqrt(216) + sqrt(60))\/((sqrt(120) + (sqrt(120) - sqrt(120)*4))\/sqrt(10)) + 2.\nAnswer: -7*sqrt(5)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes after 6:55 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-15)\/3 - 3595\/(-100). Let o = b - 111\/4. Suppose -o + 4\/5*s**3 - 8\/5*s**2 - 28\/5*s = 0. What is s?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 7\/(2*4\/72). Let h = 85 - p. Find m such that 6*m - 5*m**2 - 14*m - h*m = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -325202 (base 9) to base 13\nAnswer: -6a451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 6333365683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -209 times -5217?\nAnswer: 1090353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -461\/2475 + 1\/225. Let s be (1\/5)\/((-4)\/10). Which is the biggest value? (a) v (b) -1\/4 (c) s (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8081359 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: Sort -2, -1, -5, 567, -6, -4 in increasing order.\nAnswer: -6, -5, -4, -2, -1, 567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -3*l**3 - 3*l**2 - l + 2. Is b(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 13 - 1 = 0. Let q be (-46)\/a - 8\/28. Let h be (-1 - -1)\/(-15 + 35 + -19). Solve h*b = q*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 351237?\nAnswer: 3, 17, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -38 - -44. Let i(m) = -11*m - j*m + 18*m - 6*m. Let k(z) = -30*z**2 + 48*z. Let q(d) = -d**2 + 2*d. Let h(t) = -k(t) + 24*q(t). Determine i(h(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -11*v**3 + 101*v**2 + 8. Let u(y) = -7*y**3 + 67*y**2 + 5. Calculate -5*j(f) + 8*u(f).\nAnswer: -f**3 + 31*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -35629 + 35671. What is the greatest common factor of 14798 and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + 1*sqrt(242).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**(-11)*g)\/g**23*(g\/g**(1\/11))**(8\/9))**(-46\/5) assuming g is positive.\nAnswer: g**(142048\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.3 - 0. Let z = -0.4 - k. Suppose 0 = -2*y + 5*f + 28, 0 = 2*f + 254 - 242. What is the closest to z in 0, y, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*u + 2. Suppose u*v + 15 = 8*v. Suppose g - 150 = -4*g - 2*d, g = v*d + 57. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (1 - 5) + 22\/11. What is the closest to i in -0.2, 3, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 692510*x. Let i(t) = -150*t. What is i(f(s))?\nAnswer: -103876500*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 2*k + 0 + 2*k - 5. Let p(z) be the third derivative of -z**4\/12 + z**3\/3 + 7*z**2. Let d be (-20)\/9 - 6\/(-27). Determine d*c(b) - 5*p(b).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10076 is divided by 210.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -3195 and -0.2?\nAnswer: 3194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 38.06 + -38. Let w = m + -0.16. Sort w, 1\/5, -1.\nAnswer: -1, w, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 14 (base 8) to base 5.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 36 (b) 4\/7 (c) -30 (d) 1 (e) 23 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(228) + sqrt(228)*-1)\/sqrt(12))**2*-5 + 1*sqrt(2736) + (sqrt(2736) + 1)**2.\nAnswer: 36*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 5, 8, 7, -4, -31, -80?\nAnswer: -157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 209677505?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 158*r + 369 + 175 = -246 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -1 - 6*t + 11*t + 2 + 1. Let w be q(2). What is the smallest value in -2\/3, 0.4, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/n**(2\/5))\/n)**28)**(-5) assuming n is positive.\nAnswer: n**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -28.935 - -29. Let u = d + -2.765. Round u to one dp.\nAnswer: -2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = b. Let n(u) = 2*u**2 - 317*u + 484. What is o(n(m))?\nAnswer: 2*m**2 - 317*m + 484","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 26487, -0.3, 7, -2, 3, -0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -1 + 2*k + 0 + k**3 + 4*k**2 - 10*k**2 + 2. What is the tens digit of u(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 4*i + 8, 5*i - 2*u = 2*i - 4. Let z be (1 - -2) + i - -2. What are the prime factors of (5 - z) + 2 - -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -37 divided by 36.\nAnswer: -37\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -24.31 to the nearest integer.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 17242, 3 in ascending order.\nAnswer: -4, 3, 17242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 882\/84*4 + -23?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1254 - 1253. Let v(x) = -3*x - 1. Let n(o) = o + 1. Suppose -3*a - 1 + 7 = 0. Give a*n(m) + u*v(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 199719 and 4212?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 4\/18683?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 4380058133 to the power of 1\/5, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 n when two letters picked without replacement from {j: 2, g: 1, a: 2, q: 1, n: 1, z: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5111 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 7297777 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 8140 + 107968 = 2688*r - 47860 for r.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 65, 60, 55?\n\"Answer: -5*m + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 58*d + 88*d - 42*d + 0.\nAnswer: -12*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111 = -70*g + 29. Solve -q = 2*d - 5*d + 8, 5*d + 6*q + g = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -27*j - 1 - 26. List the prime factors of (-6 - (-4 - j))*(-1 + -8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -607100 + 414620. Is s\/(-22) + 36\/(-396) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 4*a, -4*p - 7*a - 9 = -2*a. Suppose p*q - q = -3. Let h be 11\/2 + q\/2. Solve -5*i + 5 = -h for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n**3 + 4*n**2 + 3*n - 2. Let s be h(-2). Is s at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(6)\/(sqrt(14)\/sqrt(112)).\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 59 - 44. Let p be -2 + (2\/2 - -7). Calculate the highest common factor of z and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 106*f**3 - 123*f**2 - 3*f wrt f?\nAnswer: 636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1742 + 7*l - 1758 - 1696 + 5140.\nAnswer: 7*l - 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -97 equal to -12915\/134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4044*h - 23 = -4048*h - 3*r, 4*r - 48 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 129 = -3*i, 0*p + 111 = 4*p - 5*i. Solve 4*v - 5*m + p = 0, -7 - 13 = -5*m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -867.\nAnswer: 4\/867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19908)\/(-1736)*2 - 23.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) be the third derivative of -17*u**4\/24 + 2670*u**2. Let g(t) = 2*t + 4*t - 5*t. Determine g(l(p)).\nAnswer: -17*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -3*h + 1. Let f be (0 - (20\/4 + -7)) + 3. Suppose -3*d - 1 = f*j, -5*d - 7 = -3*d - 3*j. Let z(p) = 12*p - 5. Calculate d*z(b) - 9*n(b).\nAnswer: 3*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the first derivative of 0*g**5 - 4 + 3\/2*g**2 + 0*g**4 + 0*g**3 + 0*g + 1\/3*g**6. Find the second derivative of c(s) wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 2*j**3 - 11*j**2 + 8*j - 15. Let o be r(5). Solve -4*h + z = 13, -3*h + o*z + 4 = 2*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -157 + 313. Let r = d + -96. Suppose -c + 2*l + 0*l + 12 = 0, -r = -5*c + 4*l. What is the highest common divisor of 132 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the first derivative of 5*q**2 - 2\/3*q**3 + 183 + 0*q. Let m(n) = 6*n - 3*n - 2*n. Calculate w(m(f)).\nAnswer: -2*f**2 + 10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -x + 3*k - 0*k, 5*x - 2*k = 55. Let m = x + -8. Suppose 7 = i + m. Solve 0 = -i*j - 4 + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 124 + -119. Solve 3*u - 24 = -l*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 79 - 70. Let m = -7 + l. Let v be -5*(-9)\/(270\/4). Which is the biggest value? (a) m (b) 1\/2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - z = 8, 3*m - 7*m - 4*z = 12. Let w = m + -5. Let t = 6 + w. Solve 8 = -3*q + 5*u, -t*u + 32 = 4*q + 2*u for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*l - 22 = -134 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/3)\/(2\/(-9)). What is the third derivative of 25 - o*a**2 + a**6 - 25 wrt a?\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 85682*h**3 - 85684*h**3 - 182*h**2 + 2 - 3 as s*h + o*h**2 + j*h**3 + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -5a4053 (base 12) to base 15\nAnswer: -1dc230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 63 minutes before 12:14 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -75*z + 25 = -70*z. Solve c - 2*n = -n - 1, -4*c - z = -5*n for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -7 (b) 1\/2 (c) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -2*u + 3. Let x be g(2). Which is greater: 2\/13 or x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (468\/(-19344))\/((-2)\/(-16)*-3).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13222366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -63810 rounded to the nearest one thousand?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 15*j**2. Let i(s) = 829*s - 829*s + 5*s**2 - s**2. Give h(i(k)).\nAnswer: 240*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3136?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -22*h**4 - 19778*h**3 - 118*h**2 - 2*h - 662?\nAnswer: -528*h - 118668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - p + 7728 = 0, 5*n - 2*p + 6*p + 12863 = 0. Let z = 8452 - n. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1551759.354 minus 17.3?\nAnswer: -1551776.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -4*o - 70, 4*q - 61*o - 100 = -57*o. Suppose q*h = 4793 + 997. Round h to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7488919*i**4 - 3182542*i - 1?\nAnswer: -89867028*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 442267645?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 34*p**2. Suppose -48 = -11*n + 40. Suppose 3*o + 4*b - 18 = 0, -5*b = 2*o - n - 11. Let x(k) = 18*k**o + 24*k**2 - 43*k**2. Determine a(x(l)).\nAnswer: 34*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = -27 - -47. Suppose c + 3*r = 14, -2*r + 2 = -5*c + 4. Suppose -5 - 15 = -2*z. Solve -v = 4*v + p, -z = c*q + v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2167 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*f**3\/7 + 9104*f**2\/7 - 191846*f\/7 + 1006060\/7 = 0 for f.\nAnswer: -4573, 10, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x be -1*2*116\/(-8). What is the greatest common divisor of 145 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 5, y: 2}. What is prob of sequence hyy?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 2) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101000112 + 0?\nAnswer: -101000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1172234 and 5735?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 140 + -139.99995819. What is g rounded to 6 dps?\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u + 2*u + 26 = 4*b, -u + 1 = -b. Let c(n) = -n**3 + 4*n**2 + n - 1. Let m be c(4). Let f(i) = -6 + i + m + 4. Calculate f(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 91.43 - 92. Round v to 1 decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g - 5*j - 9 = -3*g, -5*j - 6 = 3*g. Suppose 0*i - 9 = g*i. Let t = -41 - -37. Sort i, -1, t.\nAnswer: t, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -7529, -15448, -23367, -31286, -39205, -47124?\nAnswer: -55043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is five sixths of a millennium in months?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 37 - 1812?\nAnswer: -17db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-6)*(t\/t**5)\/t*t)\/(t**(-2\/9)\/((t**(1\/3)*t)\/t)) assuming t is positive.\nAnswer: t**(-85\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2378.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 49 - 46. What is the biggest value in -0.2, -1\/9, d, -2\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 561 + -383. Let d = 2671\/15 - g. Let s = 2 - 3. Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 101.079363 hours to weeks.\nAnswer: 0.601662875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1928 + -962. Is 76 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -12.07 - -0.07. Let j = -13 - w. What is the nearest to 2\/7 in j, -2\/3, -4\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -3114 + 53?\nAnswer: -3081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = -19 + 21. Suppose -60 = 2*u - t*m + 5*m, 3*u + 92 = -4*m. Let q = 56 + u. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 112704 by -112704.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 113 divided by 153.\nAnswer: 113\/153","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 2*b. Let v(h) = 3*h - h - h. What is v(m(a))?\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 230.\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -15774, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 6*n. Let h(d) = 666*d**2. Calculate h(a(v)).\nAnswer: 23976*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 3 - -1 - -2318 - 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -12166 divided by 1\nAnswer: -12166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(2\/9)\/q**(2\/11) assuming q is positive.\nAnswer: q**(4\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 AM and 6:55 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -213*j**3 - 2*j**2 - 8*j - 7. Does 6 divide m(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -109*i**2 - 4*i - 17*i + 21*i - 11*i**2.\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - -63) + 2 + -405 + 400.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 2*t**3 + 4*t**2 + 10*t - 4. Let w(p) = p**3 + 4*p**2 + 9*p - 5. Let k(c) = -2*m(c) + 3*w(c). Let a be k(5). Does 5 divide a\/(-6) + (-13)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3 - (1 - -1)) + 0. Let c = -1 + 2. Let y = p + c. Solve -2*u - 4*t = -10, -y*u - t - t + 4 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -j + 573. Suppose 25*x - j = 8. Solve 58*l = 53*l - x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) be the third derivative of 0 + 0*a**6 - 4*a**2 + 0*a**4 + 1\/15*a**5 + 0*a**3 + 1\/210*a**7 + 0*a. Find the third derivative of o(l) wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 59380?\nAnswer: 2, 5, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m**3 + 16*m**2 - 32*m + 10. Is 16 a factor of r(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6165500 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -3. Let k be n\/5 + (-116)\/380. Which is the smallest value? (a) k (b) -5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 118 - 127.68. Let d = s + 8.7. What is d rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1590 + -1585. Let t be (1 + 3)*9\/18. Solve 31 = -t*h - o*x, -5*x + 3*x - 25 = 5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 84961823268653\/886683331020 - 63213558\/704959. Let s = -2\/62889 - g. Calculate the common denominator of s and 91\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -35, -47, -67, -95?\n\"Answer: -4*f**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g + 1 = -10537*b + 10533*b, -4*g = 3*b - 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 3*w**4 + 3*w**3 + 12*w**2 - 4*w + 8. Let x(f) = -16*f**4 - 15*f**3 - 62*f**2 + 21*f - 42. Let n(s) = 42*o(s) + 8*x(s). Solve n(m) = 0 for m.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 2*y - 262 = n, y - 1 = 0. Let s = 55 + -53. Suppose s*h - n = -2*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -f + 1060 + 1895, 0 = 2*l - 10. Calculate the greatest common factor of 240 and f.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (16\/(-6) - -3)*18. Let k be ((-2)\/(-6))\/((-2)\/x). Sort k, -3, 1 in decreasing order.\nAnswer: 1, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -7*z**2 - 16*z - 1. Let l(p) = -2*p**2 + p. Calculate -5*l(q) + t(q).\nAnswer: 3*q**2 - 21*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*g - 3 + 3)*(-5*g + 3*g + 4*g + (-2 - 1 + 1)*(4*g - g - g) + 15464 - 750*g - 15464).\nAnswer: 1504*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 48? (a) -6 (b) 0 (c) -3\/2 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-1)\/(-3))\/((-7)\/(-12)). Let i = 17.6 + -17.4. Put i, -1\/2, o in ascending order.\nAnswer: -1\/2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -657295, -657235, -657175, -657115, -657055, -656995?\nAnswer: -656935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12097 or -2\/4343?\nAnswer: -2\/4343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1695.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 24 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = -27*n**2 + 13*n - 14. Let x be k(6). Let f = -634 - x. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 n when two letters picked without replacement from nonnoooooon.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -55 - -5?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n = 0, 3*d + 267*n - 9003 = 262*n. What are the prime factors of d?\nAnswer: 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c and 1 j when three letters picked without replacement from jjcjcjcjcjjcjj.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = -21372 - -213701\/10. What is the common denominator of -11\/776 and n?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10*(-12)\/4*28\/112)\/(100\/240)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 3, -0.129, 5, 1\/24, 10?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2926845?\nAnswer: 3, 5, 193, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 * 5450245.\nAnswer: -27251225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*h**5 - 4*h**5 - h**4 + 0*h**4 - 15*h**5 + 15*h**3 - 15*h**3 - h**5 + 4*h**4 - 4*h**4 + (-2*h + 2*h - h**4)*(0*h - h - h).\nAnswer: -13*h**5 - h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 0.092, -5, -0.39 in increasing order.\nAnswer: -5, -0.39, 0.092, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 343 + -198. Suppose -40 = -r + y + y, y + c = 3*r. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in one twentieth of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*c = -158 + 90 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -37.14 + 36.59. Which is the nearest to 1? (a) -0.5 (b) -4 (c) 3 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -31*f - 5. Let o = 77 - 72. Let g(h) = -16*h - 3. Let b(s) = o*g(s) - 3*n(s). Let c(t) = -2*t. Give c(b(x)).\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/4 - 3\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -402 + 2009\/5. Let i = -4 - -2. Which is the smallest value? (a) 0.08 (b) 3 (c) u (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/(x*x**2))\/x)\/(x\/(x\/x**1))*x**(-1\/2)\/(x*x**(-4\/5)) assuming x is positive.\nAnswer: x**(-37\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/3344 and -13\/363280?\nAnswer: 3996080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*u = u - 4. Let q(z) = z + 4. Give q(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-704)\/(-968)*(-1)\/4 + (-6)\/(-11)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 73 + -43. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*v - 8*v + 13524. Let c = -551 + v. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a, 1 s, and 1 i when four letters picked without replacement from ayhhsixs?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = -a + 3*r - 2, -r = -4*a + 17. Let f(q) = -18 - 2*q**2 + 4*q**2 - 5*q - a*q**2 + 16. Calculate f(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -4*y + 11. Let z be -1 + 5 - (-308)\/(-70). Sort -0.2, y, z, -2\/43 in descending order.\nAnswer: y, -2\/43, -0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 76248896?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the first derivative of -5*g + 5\/3*g**3 + 8 + g**2 - 1\/4*g**4. Let q = 5 + 0. Determine n(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*y - 96 + 26 = 0. Suppose -y*n - 3*a + 13537 = 4339, -4*n = -5*a - 7388. What are the prime factors of n?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000175 to six dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -0.82624 times 3?\nAnswer: -2.47872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-1\/8))**28*(t\/(t*t*t**(1\/5)))\/(t*t**0))**(-25) assuming t is positive.\nAnswer: t**(285\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -2*y + 64. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1019 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 305\/(-75) + 8\/12.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.157303 meters?\nAnswer: 157.303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*v**3\/3 - 392*v**2\/3 - 404*v\/3 + 264.\nAnswer: 4*(v - 99)*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = 3*b, 2*b = c - 0*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l\/l**(3\/14)))\/(l**(3\/10)\/l)*(l\/(l**(-7\/2)\/l*l))\/(l*(l**(-4)\/l)\/l*l) assuming l is positive.\nAnswer: l**(589\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1642 + -1642. Let b(l) be the first derivative of m*l + 0*l**2 - 5\/3*l**3 - 4\/5*l**5 + 6 + 0*l**4. Find the third derivative of b(t) wrt t.\nAnswer: -96*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = z**2 + 10*z - 8. List the prime factors of x(-14).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -0.1 (b) -5 (c) 1\/7 (d) -1869\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 40933080, 40933081, 40933082?\n\"Answer: g + 40933079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.5 - -109.5. Let x = -100.5 + f. Let h = x - 9.49999831. Round h to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 2 f when three letters picked without replacement from oofwbbbobffobobobtb.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1068?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 205? (a) 7 (b) -0.2 (c) 3 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -690 plus 37207466385?\nAnswer: 37207465695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -25145*x**4 - 11906*x**2 wrt x.\nAnswer: -603480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -38*u - 8. Suppose 3*j + 2 = x, 5*x + 5*j + 0 = 10. Let q be (66\/(-15) - 4\/(-10))\/x. What is the remainder when k(q) is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f + 3, 12585 = -1426*r + 1427*r + 4*f. List the prime factors of r.\nAnswer: 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3219 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(180)*-2*-5 - (sqrt(180) - (sqrt(180) - (-1*sqrt(180) + sqrt(180))))*4)\/(-5*(sqrt(4) - (2*sqrt(196) - sqrt(196)))))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 2*x - x + 22413 = 0, 4*l = 5*x + 29911. Let a = l - 104561\/14. What is the common denominator of 189\/(-48) + 1\/1 and a?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 99803?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = 408*q - 13437. Give v(33).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**3 + w**2 - w + 1. Let s(o) = 3*o**3 - 8*o**3 + 4 + 4*o**2 - o - 3*o. Let v be 21\/5 + (-1)\/5. Let t = v - 3. Calculate t*s(h) - 4*q(h).\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -4829, -20356, -46577, -83486, -131077, -189344?\n\"Answer: p**3 - 5353*p**2 + 525*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.1 and -9470.\nAnswer: 947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 2688\/(-288)*18\/21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1286013927 a multiple of 9197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -9*b**2 - 3*b + 13. Let k(u) = -2*u**2 - u + 2. Let p(w) = -3*k(w) + l(w). Let m(y) = y**2. Calculate m(p(f)).\nAnswer: 9*f**4 - 42*f**2 + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 2*p**2 - 53*p - 663. Determine q(36).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 9680027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 167887722, 167887723, 167887724, 167887725?\n\"Answer: h + 167887721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of d**5*p**2 + 491*d**3 - d**2*p**2 - 15*d*p**2 - 585*d wrt d.\nAnswer: 20*d**3*p**2 + 2946*d - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 9798 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -88.986*0.2\nAnswer: -17.7972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 76 a factor of ((-114)\/4)\/(192\/(-27136))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 - 13. Let n = 8 - o. What is the remainder when 32 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -71, -288, -651, -1160, -1815, -2616, -3563?\n\"Answer: -73*l**2 + 2*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -230*u + 4*p - 242 = 0, -3*p + 16 = -4*u - 6*p + 4*p + 3*p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in -2\/7, 4, 478946?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 21*v**3 - 7*v**2 - 13*v + 6. Let p(f) = 103*f**3 - 37*f**2 - 67*f + 31. Determine 2*p(q) - 11*w(q).\nAnswer: -25*q**3 + 3*q**2 + 9*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 191432473?\nAnswer: 23, 8323151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1431376 is divided by 283?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -y. Let r be i(4). Let o be 45\/12 + 1 + r. What is the biggest value in 0.5, o, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*g - 4*t + 2, 4 = -3*g + g + 4*t. Solve z - 3 = -g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1381982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is ((0\/2)\/((-14)\/7))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 336*s**2*w**5 + 2541*s**2*w - 14*s**2 - 141*s*w**2 + 18351*w**6 wrt w.\nAnswer: 20160*s**2*w**2 + 2202120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 473382649*r*s - 462322557*s with respect to r.\nAnswer: 473382649*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-4)\/(-6)*1 - (-29)\/(-3). Let z be (347\/(-1))\/(q - -8). Let f = z - 241. List the prime factors of f.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 121 + -201111110212012?\nAnswer: -201111110211121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s - 3. Let m(i) = -i + 9. Let q be m(4). Let j be d(q). Which is the closest to 0? (a) 0.1 (b) -0.4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 205 divide 47496655?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of -f**4\/6 + 3*f. Let z be (-372)\/(-54) - (-6)\/54. Let x(q) = 28*q - 13*q - z*q. Determine x(y(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 5861912 divided by -28?\nAnswer: -209354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put 415, 1, 12, 10, 4 in decreasing order.\nAnswer: 415, 12, 10, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3133443*h**3 + 6758208 wrt h?\nAnswer: 9400329*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 6 = 6*t - 5*t, 3*s - 21 = -4*t for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = -283 + -54. Let g = 593 + z. Let l = -256.538 + g. What is l rounded to 2 decimal places?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -4\/23, 4, 470?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 879.91 - 839.6. Let k = -41 + b. Let d = 0.22 + k. What is d rounded to one dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3032361681?\nAnswer: 3, 41, 877, 28111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 5832802+-289.7\nAnswer: 5832512.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = -15*g + 14*g. Put 0, g, -2, 13 in decreasing order.\nAnswer: 13, 0, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -21 - -23. Suppose f = 2*z + 149, -w*f = -7*f - 2*z + 781. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and 1026?\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, 33.4, 26.2, -0.051?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 7*s**2 - 4*s - 5. Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -3*g**2 - 61*g - 83. Give t(-19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3887706 divided by -6.\nAnswer: 647951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 9, -1, -13, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 2*a**3 - 2*a**2 - 1. Let d be w(2). Let s(z) be the second derivative of z**3\/6 - 7*z**2 + z + 15. Give s(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: 24\/(-120)*3 - (-53)\/5\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -379 divided by -15?\nAnswer: 379\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16 - -2 - (-261 + 253)) + -12.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 19583, 40976, 62369, 83762?\nAnswer: 105155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 0 less than 2\/2871214251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -1622726, -3245409, -4868096, -6490787?\n\"Answer: -2*m**2 - 1622677*m - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*s = 8*s + 24. Let b be (-138)\/7 - (-30)\/(-105). Let c = 21 + b. Sort c, s, -3 in decreasing order.\nAnswer: s, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 equal to 27282\/2095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*q**3 + 2*q**3 - 3*q**3 - 3*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b**4 + b**4 + b**4)*(0 + 0 - 2*b) - b + b + 2*b**5 - 3532*b**3 + 3532*b**3 + 28*b**5.\nAnswer: 32*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 6880?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) -0.9 (b) 296 (c) -6\/223\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 12, 46, 104, 186, 292, 422, 576?\n\"Answer: 12*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Do -0.774 and 6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from jijkwjjikikikw.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 25 (base 13) in base 4?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c be (37\/4)\/(-13 + 93314\/7176). Solve -c = 2*j - 2549 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -17763*132.4\nAnswer: -2351821.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 1\/((-9)\/6*152\/57)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -142, -187, -220, -235, -226, -187, -112?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b\/(b*b\/((b**0\/b)\/b)*b*b))\/b)**(-1\/61)*b**(1\/5)\/b**0*((b\/(b*b**0))**(-42))**(1\/4) assuming b is positive.\nAnswer: b**(91\/305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 3*f**2 - 4*f + 3. Let j be v(2). Let i(t) = t + 1. Let m be i(3). Let z = -813340 - -813359. Solve j = -m*g + z for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -413*u**2 + 5*u**3 + 8*u**6 + 5*u**6 + 824*u**2 wrt u.\nAnswer: 1560*u**3 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:41 AM and 1:33 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -29 + (-34 + 26 - 0) + 11 + 0?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11 and 5695?\nAnswer: 62645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 + 1)*(-15*c**3 + c**3 - 9*c**3)*(-51*c + 4743 - 4743).\nAnswer: 2346*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-82)\/(-28) - (3 + 0). Which is the closest to y? (a) -3 (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*g - 30044 = 3*g. Is 28 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3\/2 - 2)\/(2\/68). Let y = 21 + n. Solve 0 = -3*j + 5*j + y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 408804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*v + 16*v - 4 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 302, 392, 554, 794, 1118, 1532, 2042?\n\"Answer: b**3 + 30*b**2 - 7*b + 278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 + 3*f - 15. Suppose 0 = -4*l - 0*l - 24. Let d be l - (1\/3)\/((-14)\/42). Determine g(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = -o**3 + 7*o**2 + 57*o - 141. Let j(v) = 2*v**3 - 16*v**2 - 115*v + 281. Let q(b) = -3*j(b) - 7*t(b). Suppose q(u) = 0. Calculate u.\nAnswer: -8, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the first derivative of -1379*y**2\/2 + 1607*y + 1263. Differentiate u(r) with respect to r.\nAnswer: -1379","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**2 + 0 + 4 + 3*q**3 - 3. Let b be i(1). Suppose -3*o + b*j - 9 = -0*o, 5*o - 4*j = -10. Calculate the greatest common factor of o and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 132323?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 0 = -3*o + 3, 0 = o + 2*i + 1. Let u = o - 5. Solve 4*h + u*r = -4*r, -4*h = 2*r for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 859 + -859. Solve b*u + 4*u = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 2 l when three letters picked without replacement from {l: 5, a: 8, o: 5}.\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*d**2*k**2 + 73*d**2*k + 2*d*k**2 - 33*k**2 - 6 with respect to d.\nAnswer: -6*d*k**2 + 146*d*k + 2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(2\/3)\/c)**(2\/5)\/((c\/(c*c**1\/c*c))\/(c*c**(-3\/4)))*(c\/(c**1*c*c))**15\/(c*c**7*c**(2\/3)) assuming c is positive.\nAnswer: c**(-743\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 568*l**2*v - 1252*l**2 - l*v + l + 268933*v + 2 wrt l?\nAnswer: 1136*v - 2504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1267963616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 151?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 181745 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = f + 8652, 4*h + 3*f - 27207 - 7415 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -3*y - 227, 2*y + 4*t + 0*t = -168. Let f = y + 74. Solve f = x + 4 - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(144)\/sqrt(4)*2 + (sqrt(900) - (sqrt(900) - 1*sqrt(900))))\/(sqrt(432) + (sqrt(432) - 3*(-2*sqrt(432) + sqrt(432) - sqrt(432)))) + -2)**2.\nAnswer: -7*sqrt(3)\/6 + 12337\/768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q - 4*b - 41 + 28, 4*b + 31 = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (5 + -20 - -9) + (38 - 0). Solve 13*k = c + 33 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -21128*n**2 + 8755.\nAnswer: -42256*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 556*p + 1010153 - 1010153 + 2*p**3.\nAnswer: 2*p**3 + 556*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = 701 - 685. Let d = -22 + 36. Calculate the smallest common multiple of i and d.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = y**2 + 2*y + 17. Let q(h) = -h**2 - 3*h - 18. Determine 4*d(a) + 3*q(a).\nAnswer: a**2 - a + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -760*j**2. Let g(c) = -3*c**2 - 45850*c. Calculate g(t(a)).\nAnswer: -1732800*a**4 + 34846000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c = 0, 7*f + 8 = 9*f + 5*c for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-2\/27)*c**15 assuming c is positive.\nAnswer: c**(403\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10266*h**2 - 15020*h**2 - 2025*h**2.\nAnswer: -27311*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 44089339 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1041773903.\nAnswer: 1041773903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j = 8*j - 168. Suppose 4*u = -4*s + j, 3*u + s + 21 = 63. Suppose u - 6 = 2*g. Solve -5*l - 5 = g*f + 4, -2*l + 2 = -4*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*b + 1077 - 758 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -480*j = -485*j - 40. Let y(v) = -18*v - 111. Suppose -2*w + 3*t + 15 = 0, w - 2*w = -3*t - 3. Calculate the remainder when y(j) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-w - w + w)*(-11*w**2 + 11*w**2 - 3*w**3) - w**4 + 0*w**4 - w**4 - 2*w**4 + 0*w**4 - w**4 to the form k*w**4 + p*w + u*w**2 + g + v*w**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 6, i: 4, j: 7, e: 2, p: 1}. What is prob of picking 1 a and 2 e?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 941?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1520\/(-210) - -7) + (-8)\/(-14). Factor 0*g + p - 1\/3*g**2.\nAnswer: -(g - 1)*(g + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 24405 is divided by 113?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -347771*u. Let w(x) = -4*x**2. What is w(t(m))?\nAnswer: -483778673764*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**7\/(o\/o**1)*o\/((o\/(o**(1\/2)*o)*o*o)\/o)*o*o**1\/o)**(-4) assuming o is positive.\nAnswer: o**(-34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -128, -262, -396, -530?\n\"Answer: -134*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.8 (b) -0.2 (c) -43 (d) 34.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 5 + 2 = 0. Let u(n) = 36*n - 8. Let l be u(1). Suppose 4 = -8*g + l. Solve q - 5*f + 22 = g, s = f for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*k + 10*k - 3*k + 12*k to the form s*k + u and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 17 - -20847a?\nAnswer: 208496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*h**2 + 180 - 91 - 89.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -3 - 5 + 11*g + 6. Suppose 6*b - b - 390 = 0. What is the remainder when b is divided by o(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 840 = 3*u + 807 for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 34 (c) -3 (d) 0.2 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1595 divided by -29?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 372*v**3\/11 - 1490*v**2\/11 + 136*v - 8\/11.\nAnswer: 2*(v - 2)**2*(186*v - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (l - 5*l + 3*l)*(3*l**4 - 4*l + 4*l) - l**2 + 2*l**5 + l**2 + (2 + 1 - 2)*(5*l**5 - l**5 - 2*l**5).\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = -w**3 - 43*w**2 - 85*w - 91. What is the remainder when (12 - 1)\/(2\/10) is divided by t(-41)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:05 PM and 2:50 AM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -87*w - 134 = -89*w + 40*b, 3*b = -4*w - 64 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -86066.18 rounded to the nearest 100?\nAnswer: -86100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/5771 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 329743.\nAnswer: 199, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1271347, 1271300, 1271259, 1271230, 1271219?\n\"Answer: m**3 - 3*m**2 - 45*m + 1271394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -4244, -4243, -4240, -4235, -4228, -4219, -4208?\n\"Answer: h**2 - 2*h - 4243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -27*r**3 + 13*r**2 + 23*r + 440. What is the hundreds digit of x(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 74902?\nAnswer: 2, 17, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 7? (a) -2\/5 (b) 0.08 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1152 + -1057. Calculate the remainder when 98 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3302183?\nAnswer: 3302183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -7c7 (base 16) to base 3\nAnswer: -2201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -27.4136464 rounded to two decimal places?\nAnswer: -27.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 85370, 84960, 84548, 84134?\n\"Answer: -d**2 - 407*d + 85778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the third derivative of c**7\/42 - 9*c**4\/8 - 9*c**2. What is the second derivative of n(o) wrt o?\nAnswer: 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -29734, -29727, -29718, -29707, -29694, -29679, -29662?\nAnswer: -29643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*w + 30 = -76153*t + 76156*t, 50 = w + 5*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of (-44 + 292)*1\/((-1)\/(-7))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-5*(sqrt(6050)*1 - sqrt(6050)))\/((sqrt(90) + sqrt(90) + -2*sqrt(90))*6 + 2*2*sqrt(90)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c - 25 = -2*k, -k - 15 = 5*c - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -50 - (-13 + 14 + (-4 - (-22 - -7)) - 24)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 4) to base 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 12.800158 - 12.8. Round z to 5 dps.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -531996 divided by 6.\nAnswer: -88666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -9 - -12. List the prime factors of 64 + (5 - (k + 0)*1).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10021122202 (base 3) to base 11.\nAnswer: -44616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = 2*a**3 - 5*a**2 - 2*a. Let x(m) = -m**2 + 28*m + 477. Let q be x(40). Give g(q).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1092\/12*((-4)\/6)\/((-14)\/3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (350\/4)\/(((-3)\/(-5))\/((-9696)\/(-80800)))\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3809 + 3809 + 122*t + (2 + 4 + 2)*(0 + t + 0))*(4*t + t - 7*t).\nAnswer: -260*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 64938844 to the nearest integer?\nAnswer: 8058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7257 is divided by 2410.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 2*z - 10. Suppose -5*c + z = 7. What is the tens digit of c\/1 + (54 - 6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 3 - (-1)\/(-2)*0. Let a = 3 - 3. Suppose 0 = y - a*y - t. Solve 2*q = n, y*q + n = 5*n for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 9\/(-6) + 2 + 15\/2. Let m = p - -57. What is the remainder when 128 is divided by m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7 + -3. Suppose 2*b - b = f*c + 9, -3*c = 3. Calculate the remainder when b is divided by 1*4\/6*3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -53285 - 1.5?\nAnswer: -53286.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -7*m**2 - 3. Let j(r) = -r**4 + 28*r**2 + 11. Let c(d) = 6*j(d) + 22*s(d). Find the third derivative of c(l) wrt l.\nAnswer: -144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1\/31 + 711\/62. Let o = 65\/6 - g. What is the third biggest value in o, -1\/3, -8, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes after 3:38 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a + 3 + 4 = -4*g, a = -3. Solve -3*q + g = -t, 5*q + 2*t - 23 = -5 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 9 and (-3)\/(-5) + 156\/15?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 21*r**2 + 2*r + 2. Let o be l(-1). Calculate the highest common factor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*x - 5*r - 11810, -2177 = -3*x + 2*r - 9288. Is (x\/18)\/(1\/2 + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -3 and 90175 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -7 in -13\/8, -2\/5, -1\/5?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the second derivative of -b**5\/4 + 8*b**3\/3 - 6*b. Find the second derivative of h(t) wrt t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 102989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 24\/671?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 144\/2856*-14*(-6)\/(-72)*4?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/182 and 19\/230230.\nAnswer: 230230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**(-6\/7)*m**(-1\/3))**9\/((m**3\/m**0)\/(m\/((m*m\/(m*m\/(m\/m**(-2\/11))))\/m)*m*m*m*m*m**(-2\/3)*m)) assuming m is positive.\nAnswer: m**(-1978\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 + 5*r**2 - 5*r + 12. Let z(s) = s**3 - 5*s**2 + 5*s - 12. Let w(n) = 3*d(n) + 4*z(n). What is the units digit of w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17294 = 3*t - 4*t. Solve 360*k - 50*k**3 - 60*k**2 + t - 17294 - 5*k**4 = 0 for k.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 5, o: 2, b: 4, j: 5, v: 3, k: 1}. Give prob of sequence cboj.\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53426*d + 30 + 53429*d - 16 - 106848*d.\nAnswer: 7*d + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -777 - -4718?\nAnswer: 3941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13350717 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 7 - 1)*(-619*x - 494*x + 126*x) to the form c*x + v and give c.\nAnswer: -2961","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/6)\/(70\/15*5\/(1450\/5))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 47217 in -5, 1\/5, -0.44?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -51248*i = -51592*i + 6192 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x + 4*v = 307 - 27, 4*x + 3*v - 225 = 0. Suppose 4*d = x - 64. Suppose 3*l - 40 = 4*g - 0*g, 44 = 4*l - 3*g. Which is smaller: d or l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 568 + -569. Let u(r) be the second derivative of -r**3\/6 + 3*r**2\/2 - r + 123. What is u(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = 3*j - 14832, 0*j = 3*j + 3*i - 14808. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -5*f - 17. Let w = f - -10. Let g = w - 9. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence www when three letters picked without replacement from kkkaawwwwwkkk?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express 3 - q - 3 + (-12 + 22 + 10)*((-1 - 1 + 4)*(q + 3*q - 3*q) - q + 3 - 3 + q + 2 - 2 + q + q + 0*q) as i*q + y and give i.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15216 and 24?\nAnswer: 15216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 15 - 3. Let c(y) = 10*y**5 + 16*y**4 - 14*y**3 - 12*y + 12. Let d(r) = r**5 + r**4 - r**3 - r + 1. Let x(t) = b*d(t) - c(t). Factor x(s).\nAnswer: 2*s**3*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 10\/(-15)*(-183)\/1525\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -9 + 4. Let w(m) = -m**3 - 2*m**2 + 2*m + 3. Let l(t) = 2*t**3 + 4*t**2 - 3*t - 5. Let k(b) = y*w(b) - 3*l(b). Determine c, given that k(c) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 513142176 to the power of 1\/4, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 171610, 171608, 171606, 171604?\nAnswer: 171602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 4628, 2714, 808, -1090, -2980, -4862?\n\"Answer: 4*n**2 - 1926*n + 6550","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/655405778 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 355 divided by 71?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 - 21*c - 72. Let r be i(-9). What is the greatest common divisor of 9 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 13*q**2 + 8*q + 2. Let c(w) = 13*w**2 + 12*w + 3. Let s(y) = -3*b(y) + 2*c(y). Let o(u) = -23*u**2. Give o(s(v)).\nAnswer: -3887*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30709370.\nAnswer: 2, 5, 23, 133519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 514.739 - 515. Which is the fourth smallest value? (a) t (b) 5 (c) -0.4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that 65*y**4 + 215*y**3 + 60*y**2 = 0.\nAnswer: -3, -4\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-42 - 101 + 25)*(-r + 1 - 1)*((1 - 4 + 1)*(9 - 4 + 3) - 1 + 1 - 1)*(-3 - 4 + 5).\nAnswer: 4012*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -205406\/9 at most as big as -22824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-50)\/(-7) - 11\/77. Let d(q) = q - 1. Let m be d(j). Solve -k = k + m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13.06 rounded to one decimal place?\nAnswer: -13.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and 59.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.043 * -1225638.\nAnswer: -52702.434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 2*t**2 + 4*t. Let a be n(11). Suppose a + 92 = 7*z. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -31 and -0.292701.\nAnswer: 9.073731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12.193757*-15.\nAnswer: -182.906355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = 3*o**3 + 10*o**2 - 84*o + 176. What is the remainder when s(17) is divided by 90?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-4)\/(-5))\/((-10)\/(-25)) + 60. Suppose -5*v = 3*c - 230, c - v - u = v. What are the prime factors of c?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 17.154183 months in centuries?\nAnswer: 0.0142951525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 46200 (base 7) in base 10?\nAnswer: 11760","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 134648729.\nAnswer: 569, 236641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.002658 rounded to five decimal places?\nAnswer: -0.00266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 635 is divided by 64?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 20 = 3*b, 411*v - 421*v - 3*b = -80 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -2*f**2 - 11*f + 5. Let l be t(7). Let r be (-102)\/l + (-22)\/(-5). Solve p - 5 = -j, -r*j + p = -p - 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 28368 is divided by 9241?\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.84 - -4.04. Let d = z + 0.12. Which is the second biggest value? (a) 0.5 (b) 4\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 0) + (5 + 1 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -94 - -103. Suppose -19 = -14*g + m. Suppose -q + 0*a - g*a + 1640010 = 0, a + 1639995 = q. Round q to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 1 f when three letters picked without replacement from ffffzzf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 40 and 8744.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 187\/561*(-2)\/(-1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-1 - -2) - (69 - 74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 c when two letters picked without replacement from cwcwee?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 679 minutes after 12:28 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -8*p - 6. Let c(x) = -2*x**2 + 9*x - 6. Let j be c(4). Let d be q(j). Calculate the highest common factor of d and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l + 35. Let n be s(-30). Let r be (-1024)\/(-306) + n\/(-15) - 3. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 130195.103 rounded to the nearest ten?\nAnswer: 130200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2640?\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31, -55, -79, -103, -127?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pkwp. Give prob of sequence wk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 5050145 by -1010029.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 9:33 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -81.0962 - -81.1. What is h rounded to 3 decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -149251 times 0.13\nAnswer: -19402.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2237093*y + 4150971.\nAnswer: 2237093","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l = -0*l. Suppose l = 2*g + 36 - 132. What is the highest common factor of g and 120?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4428 = -1166*r + 529*r + 529*r for r.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/228 and 25\/6.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -9397 times 3?\nAnswer: -28191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + -70?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1057466 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:31 PM and 11:43 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 7\/((-1971)\/2190*7\/(-9))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3.6 + 55.4. Let z = -59.56 + b. Let q = z - -0.5599994. What is q rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -142*j = -194*j + 86060. Calculate the highest common factor of j and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 939130 and 30.0912942?\nAnswer: 939099.9087058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1db1a4 + -2?\nAnswer: -1db1a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1166798589?\nAnswer: 3, 11, 37, 547, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from egxkwkwgwwww. Give prob of sequence wgee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b + 5*p - 115 = 0, 0 = -1067*b + 1068*b - 5*p + 47. Let u(q) = -47*q - 20. Let i(o) = -16*o - 7. Calculate b*i(r) + 6*u(r).\nAnswer: -10*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**3 - 80*m**2 + 179*m + 780. Let f be t(86). What is the highest common factor of 350 and f?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000056 to seven dps.\nAnswer: -0.0000056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 43\/38 and (343\/(-28))\/(1\/1).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 4*y - 10. Let v be i(-4). Let z = v + 28. Solve -3*m = -z*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = -i**2 + 3*i - 3. Let u be w(2). Is 1 + (2 - (-125 + u - -2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**3 + 17*c**2 + 61*c - 15. Let r be l(20). Solve x - r = -2*u, 3*u - 2*u + 4*x = -8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -706246 less than -706268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the first derivative of -u**3 + 2\/7*u**7 - 2 + 0*u**2 + 0*u**4 + 0*u**5 + 0*u + 0*u**6. What is the third derivative of t(c) wrt c?\nAnswer: 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7.3 times 1587131?\nAnswer: -11586056.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(45)\/(-1*sqrt(3)))\/sqrt(5).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 + 61*n**2 + n - 123*n**2 + n + 61*n**2. Determine v(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.3+0.3415355\nAnswer: 0.0415355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -189.3616 rounded to zero dps?\nAnswer: -189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 5*y - 32. Let g be q(7). Solve 1\/2*f - 3\/2*f**g + 0 - f**2 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 538?\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -14*m**2 + 10*m - 12. What is i(1)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (75 - (36 - -48)) + (54 - 1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p - 15. Suppose 4*b - 1 - 27 = 0. What are the prime factors of z(b)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(-1*2*(-1 + 1 + sqrt(2)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -8*a**3 - 116*a**2 + 904*a + 480.\nAnswer: -4*(a - 6)*(a + 20)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n = -802933\/258 - 304\/129. Is -3114 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3296233 is divided by 398.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*b - 195*b = 339*b + 123*b - 63648 for b.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f be 15 + -13 + (-3 - 0). Let z be ((-1)\/f - (-2 + 10))*-1. Solve -2*a - z = p, -2*a + 5*a + 12 = -2*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -10*b + 32. Let m be c(-12). Let x = 218 - m. Let w(v) = -9*v - 84. What is the least common multiple of w(-10) and x?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -89\/5805 and 35\/19683.\nAnswer: 4231845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*t - 5 = -33. Let u(q) = -90*q**2 - 69*q. Let g(a) = 13*a**2 + 10*a. Let n(x) = t*u(x) + 27*g(x). What is the second derivative of n(l) wrt l?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8263 is divided by 1026.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*i - 17*i = -12. Let s(j) = -6*j + 37. Let g be s(i). Which is the closest to -4? (a) g (b) 0 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 921206011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1 + (-2)\/(-8))*(-5)\/15. Which is the third biggest value? (a) j (b) 2\/3 (c) -1\/8 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r. Suppose 0 = -3*o - 2 + 47. Suppose -x - 5*b + o = 0, x + 2*b - 18 = -0*x. Let f(k) = 4*k + x - 20. What is m(f(c))?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1230?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*z**3 - 517*z**2 - 17*z - 82 wrt z.\nAnswer: 12*z - 1034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -13 * -0.048575\nAnswer: 0.631475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -6*t - 289. Give s(-44).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in s + 2471 - s - 3*s.\nAnswer: -3*s + 2471","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u = -15.14 + -1.86. What is the nearest to 1\/2 in 3, u, -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 3*r - 9. Let u be c(7). Let x = 623 + -620. Solve x*g = -g - u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 8439730*u**4 + 5*u**3 + 1084*u + 44769.\nAnswer: 101276760*u**2 + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 520 and 680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 4*x + 200, 0*x = -4*u - 3*x + 411. Suppose -4*m + u = -6. Suppose -m - 21 = -2*i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 998, 3592, 7916, 13970, 21754, 31268, 42512?\n\"Answer: 865*m**2 - m + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, z: 4, e: 1}. What is prob of sequence zll?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*g - 5*h + 13455 = -4*g, g - 3*h - 2691 = 0. Suppose -4*t + 13*t - g = 0. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.0083039mg?\nAnswer: 8.3039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 155260871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = -1\/53334 - -46459\/2062248. Calculate the common denominator of -151\/18 and a.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 91.90591 millilitres to litres.\nAnswer: 0.09190591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1\/3, -10, 0.06, -369, 0.4, 0.1, -5?\nAnswer: -369","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 13 = -2*p. Suppose 2*n = -2, p*g = -4*n + n + 189. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(312))\/sqrt(6))\/(sqrt(4) + (sqrt(196) - (sqrt(196) + sqrt(196)*-2) - sqrt(196))).\nAnswer: -3*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve p = -10*p + 44 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve u + 4*v = -32, 4*u - 13*v - 98 = -63 - 76 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is (2899\/(-26))\/(2\/(-4)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 5, 2, -9, 19, 1923 in increasing order.\nAnswer: -9, 2, 3, 5, 19, 1923","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 8700*g + 8802 = 348102 for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -179 = -3*z - 170 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -b - 1. Let k be 0\/((-2)\/(-1)*1). Let n = b - k. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3894547 to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*c**2*u**2 - 8369817*c**2*u + 3*c*u**2 - c*u - 2*c - 232766*u**2 - 2*u wrt c.\nAnswer: -4*u**2 - 16739634*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2 - 36\/(-10))\/((-18)\/45).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 8506\/(-28) - (792\/(-77) - -10). Let y = o + 1817\/6. Are 79 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d + x = 12*d - 3581, -4*d = -4*x - 2868. Let p = d + -598. Calculate the lowest common multiple of 16 and p.\nAnswer: 944","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 0.3, -0.07, 3, 0.11, -694 in increasing order.\nAnswer: -694, -3, -0.07, 0.11, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -s**2 + 23*s - 4. Let x be m(21). Suppose -4*g = -6 - x. Solve 5*l + 3*v + 2*v = -15, 0 = -2*l + 3*v - g for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = -2*k**2 - 9*k - 9. Calculate c(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -9918 not equal to -9918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 5*d**3 + 5*d**2 - 2*d + 4. Let x(a) = a**3 - a**2 + 1. Let s(y) = l(y) - 4*x(y). What are the prime factors of s(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 AM and 3:51 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/2)\/(1\/(8\/(-8))).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 35, 10, -57, -5, -4, 16 in ascending order.\nAnswer: -57, -5, -4, 10, 16, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 497.3202 meters?\nAnswer: 497320.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - 0 - (19 + -15) - -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 9, -114, -243, -384, -543, -726, -939?\n\"Answer: -g**3 + 3*g**2 - 125*g + 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 1324.02651 to the nearest one hundred.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/260)\/(46\/(-230))*13\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -15*b + 163. What is o(34)?\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h be (9 + -12)\/((-6)\/(-8)). Let p(k) = -4*k**2 + 3*k + 10. Let c(j) = 3*j**2 - 4*j - 9. Let z(o) = h*p(o) - 5*c(o). What is z(-7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -359*c = 665 + 1489 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1936.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3.7 - 4. Let t = -0.03 - -2.03. Let k = 13046 - 13045.6. What is the third smallest value in k, t, i?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/10*15*(-16)\/384.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 2103020 = -7*b. Let n = -145755 - b. Round n to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.06? (a) 2 (b) -5 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 8942203 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 1435899 (base 13) to base 3.\nAnswer: 110001200001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -141 + 216. Suppose -5*w - 5*b = -25, 5 - 10 = -5*w + 5*b. Suppose 6 = w*m - d. Is m a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 464144407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 3*-6*(292\/365)\/(18\/15)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.1, -0.5, -7, -55, 2\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: ((-54)\/(-612))\/(-4 + (-415)\/(-103)) - 3\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 31882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are 5446 and 5101 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 27*468\/810 + (-9)\/15\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose v + y = 9, -4*y = -0*y - 16. Put 3, v, -4 in ascending order.\nAnswer: -4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6828842173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = -5*r**2 - 20 - 21 + 13*r + 4*r**2 - 23*r - 37*r. Let t be i(-46). Let f = 13 + -26. Put t, 3, -1, f in ascending order.\nAnswer: f, -1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -4191*t - 175. List the prime factors of g(-11).\nAnswer: 2, 22963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33 divided by 204.\nAnswer: -11\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p. Let l(o) = 2 + 53*o**2 - 48*o**2 - 2. What is n(l(z))?\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2313248.\nAnswer: 2, 7, 23, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = -891\/20 - -901\/20. Suppose 0*p + 3*p = 9. Which is greater: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.897571694 to five decimal places.\nAnswer: 0.89757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b = -0*b + 5*j - 9, j = b. What is the second derivative of -5*f**2 - 6*f + 3*f**b + 5*f**2 + 2*f wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -4*t - 1. Let g be x(-25). Let l = g + -95. Solve -2*a + 2 = -l for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 830, 770, 710, 650?\n\"Answer: -60*z + 890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -1140, -4580, -10320, -18366, -28724, -41400?\n\"Answer: -f**3 - 1144*f**2 - f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -12 + 1130?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-50))\/((-6)\/20).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 42 - 1806?\nAnswer: -17a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000393633 rounded to 7 dps?\nAnswer: -0.0000394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 410\/76273, 4, 0.\nAnswer: -1\/3, 0, 410\/76273, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3381?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 2 + 108. Let o = -6 + z. What is the greatest common factor of o and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 92460 (base 10) to base 5.\nAnswer: 10424320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -4*f**2. Let i be 6\/(-10) - 39\/(-65). Suppose -2*t + 11 = -3*x + 34, x + t - 1 = i. Let r(o) = -o + o + 2*o - x*o. What is y(r(d))?\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 37 and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z = 123 + -123. Solve 0 = s - z*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/(-14) + 36\/(-14).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 51, 77, 129, 213, 335, 501, 717, 989?\n\"Answer: o**3 + 7*o**2 - 2*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-2)\/(-3))\/(4\/(-24)). Suppose 21*r - 26*r + 55 = 0. Let z = r + s. Solve 2*w - z*w + 25 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3378022523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cddc when four letters picked without replacement from {c: 2, d: 4, v: 1, f: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 31640755, 31640724, 31640673, 31640602, 31640511, 31640400, 31640269?\nAnswer: 31640118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 847 * -0.01.\nAnswer: -8.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in twenty-six fifths of a meter?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from suusu. Give prob of sequence uu.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7346, -14663, -21992, -29333, -36686, -44051, -51428?\nAnswer: -58817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 + 3 = -3*q. Suppose 3*g - 4*o - 7 = 4, -28 = -5*g - 3*o. Suppose -m = y - 13, g*m - 34 - 1 = y. What is the remainder when m is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -o**3 + 2575*o**2 - 1463974*o + 12967920.\nAnswer: -(o - 1736)*(o - 830)*(o - 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 181*i**2 - 6. Let w(u) = -11*u**2. Calculate j(w(r)).\nAnswer: 21901*r**4 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 65 a factor of 31113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 46*o + 473. What is the tens digit of h(12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -282 + 276. What is the units digit of (d + 10 - 3) + 400?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -6 - 5 + 33*r + 11 as f + z*r and give z.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(187)*-1 + sqrt(187))*-4*-1)\/(3*5*sqrt(176)*-3).\nAnswer: -4*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 1499*t - 7481. Give b(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-4*j + 6*j - 4*j)*(0 - 1 + 0) + 34*j - 2 + 2 + j + 0*j - 3*j)*(4*j**2 - 5*j**2 + 13*j**4 - j**4).\nAnswer: 408*j**5 - 34*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 44 and 39336?\nAnswer: 39336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k be 48\/(-56)*5*-7. Let v be ((4\/6)\/(37\/(-16650)))\/(8\/(-4)). What is the greatest common divisor of k and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**2 + 1. Let t(g) = 51*g**2 - 5*g - 6. Let z(c) = 7*c - 50. Let i be z(7). Let n(v) = i*t(v) - 6*x(v). What is the second derivative of n(m) wrt m?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 918 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) be the third derivative of s**5\/210 - 25*s**4\/42 - 275*s**3\/21 - 9*s**2 - 159*s. Factor i(z).\nAnswer: 2*(z - 55)*(z + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**49)**(-35)\/((l**(2\/25)\/l)\/(l\/l**(-46))) assuming l is positive.\nAnswer: l**(-41677\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -27.888 * 0.1.\nAnswer: -2.7888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 135207742?\nAnswer: 2, 67, 109, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*((sqrt(5) + sqrt(20)\/sqrt(4))*5 + sqrt(5)) + 3*((sqrt(20))**2 + -2) - ((sqrt(480)*-2)\/sqrt(8))\/(sqrt(48)\/(sqrt(4) - sqrt(64))).\nAnswer: 54 + 38*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the first derivative of 56\/3*z**6 + 145 - 4*z**3 + 0*z + 0*z**5 - 3*z**2 + 0*z**4. What is the third derivative of m(b) wrt b?\nAnswer: 6720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 105*k - 1400. Let b be z(23). What is the highest common divisor of 116 and b?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5 + 10. Suppose 4*s = -s - 4*j + 96, -100 = -c*s - 5*j. Calculate the smallest common multiple of s and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -583 - -1157\/2. What is the nearest to 1 in g, -3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -4*o**2 + 42*o - 293. Let p be z(15). Is p bigger than -568?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -217 divided by -31?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u - 969 = -25*u. Suppose -2*f + 4*x + 162 = 0, f - 10 = -2*x + u. Calculate the remainder when 139 is divided by f.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -2 + (-34)\/(-18) + 3 + (-20)\/(-180). Suppose 1 = 3*i - 2. Let n = -1 + i. Solve r*f - 4 = 2*f, -5*u + 3*f - 22 = n for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5451457*a**3*j**3 + 2*a**3*j**2 + 911249*a*j**3 wrt a?\nAnswer: 32708742*a*j**3 + 12*a*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -36\/7 - 10\/7*i**3 + 12\/7*i**2 + 34\/7*i = 0 for i.\nAnswer: -9\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11483622 less than -0.135458?\nAnswer: -11483622.135458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 75 + 15aa0a?\nAnswer: 15aa82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 11 * -0.22\nAnswer: -2.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (r**3 + 2*r**3 - 4*r**3)*(-2 + 0 + 1) + 1 - 1 - 2*r**3 + 11*r**3 + 5*r**3 + 4*r**3 + 4*r - 4*r - 2*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u*u\/(((u*u**(-2)\/u*u)\/u)\/u*u))**10)**(-4\/35) assuming u is positive.\nAnswer: u**(-32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-60)\/65)\/2)\/(675\/75*1\/(-3)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 17275 - 11111. What is the greatest common divisor of 201 and u?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 76 + 15 - 91 + 13*c**3 - c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.3, 1, -0.078, -92, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 + 3 + (-6 - -10). Suppose -j*m + 4*m - 4*i = 3, m = -2*i + 3. Do m and 10 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2632 - -24360. List the prime factors of s.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 20*h**2 - 2*h - 1181. Is p(-47) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 14*r**3 + 8*r**2 + 3*r - 4. Let c be b(3). What is the highest common factor of 65 and c?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*j**4 - 4*j**4 + 0*j**4)*(5*j - 2*j - 2*j) + 14*j**4 + j**3 - 2 - 9*j**5 + 46*j**4 - 52*j**4.\nAnswer: -11*j**5 + 8*j**4 + j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 7*s. Suppose 0 = c - 5*m - 37, 0 = -0*c - 5*c + 4*m + 80. Let p = c - 1. What is the remainder when x(3) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 - (-6 + 31 + -8 + -8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13694792?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (4800\/(-96) - -47) + ((-2)\/(-2) - 11)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3152 + 17506. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 129, 207, 317, 441, 561?\nAnswer: 659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-2)\/i)**29*((i**2*i*i)\/i)\/i*i\/i**(-3)*i assuming i is positive.\nAnswer: i**(-80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 820?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(1\/25)\/g)\/g*g*g)**23 assuming g is positive.\nAnswer: g**(23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -q**3 - 3*q**2 - 4*q - 1. Suppose -4*p + 13 = 25. Is 11 a factor of z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 880714111?\nAnswer: 107, 8230973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 141352*x. Let l(m) = 232*m - 6. Give b(l(u)).\nAnswer: 32793664*u - 848112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 6 - 3 - 2*l**3 - 2 + 3*l + 2*l**2. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4152759384?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -29 in -5, -79, -0.26?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 272\/306*(-297)\/(-132)*(-2)\/((-4)\/(-7))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -179726 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1720723 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/17, -13, -1.5, -199?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -10 = -j + 3*h, 0 = -2*j + h - 48 + 53 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-7 - 0) + 9\/3. What is the remainder when 15 + (1*y)\/(-2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 83827059 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**3 - 189*c**2 + 2202*c - 2016.\nAnswer: 3*(c - 48)*(c - 14)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -4*r - 49. Let y be l(-14). What is the highest common divisor of y and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 + 0 - (3 - 7)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -t**2 + 18*t + 8617. Give h(103).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 31, -3, 5 in ascending order.\nAnswer: -3, 5, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the second derivative of -b**6\/720 - b**5\/40 + b**4\/12 + 3*b**2 + 22*b - 2. Let n(x) be the third derivative of f(x). Determine n(-9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((2\/2)\/(-2))\/(-1). Let c = -1078 + 1077.217. Let m = -5.117 + c. Which is smaller: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:26 AM and 4:10 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*p**3 - 8*p - 6*p**3 - 3*p**3)*(1359*p + 567255 - 567255).\nAnswer: 1359*p**4 - 10872*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*c - 4*c + 500. What is the tens digit of c\/4 + (-3)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 31*p**3 + 47*p**2 - 33*p + 40. Let r be q(36). Round r to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - (-10 - (-4 + -35) - 12).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -14 - -14. What is the closest to 1 in o, -3\/5, -2\/15?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -83795*x**3 - 35088*x**3 - 3*x + x.\nAnswer: -118883*x**3 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -3871, -3867, -3861, -3853?\n\"Answer: a**2 + a - 3873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2 - -7. Let p be ((-6)\/j)\/((-12)\/9). Determine b, given that -1\/2*b**5 + 1\/2 + p*b**4 - b**2 - 1\/2*b + b**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**3 + k**2. Let p(r) = r**3 + r**2 + r + 1. Let g(b) = 5*c(b) - 3*p(b). Does 10 divide g(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 62 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t = 134.65 - 183.65. Which is the nearest to 1\/4? (a) 1 (b) 0.5 (c) t (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 - 85 - 9)*((b**2 + 3*b**2 + 2*b**2)*(-2*b + 1 - 1) - b + b + b**3 + (-b**2 - 2*b**2 + b**2)*(2*b - 3*b + 0*b) - 4*b**3 + 2 - 2).\nAnswer: 1144*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 - 6. Suppose -i + 5*v = -7, -v + 13 = c*i - 4*i. Suppose m - 2*k - i = -3*m, -3*m - 5*k - 4 = 0. Solve -8 + m = -3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2466 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 505, -2, 262?\nAnswer: 505","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be 256\/40 + (-2)\/5. Let k(g) = g**3 + 8*g**2 - 4*g - 17. Let f be k(-8). What is the highest common divisor of f and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 29751\/2 - 14876. What is the second smallest value in 2\/19, -1\/4, -4\/7, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-27 - -36) + (2 - (-1 - -3)) + -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zhuuumhsmmu. What is prob of picking 1 m and 1 h?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1709 - -10174. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = b**3 - b**2 + b - 1. Let o(l) = -3*l**3 - 6*l**2 - 4*l. Give -o(z) - 4*t(z).\nAnswer: -z**3 + 10*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g be (0 - -1) + 2 + 0. Let x(i) = i**3 + 9*i**2 + 7*i - 8. Let y be x(-8). Suppose 2*j = -j, -o - 5*j + 1 = y. Solve 3*n - g*t + 5 = -o, 4 = 4*t for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 200345 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-6)\/(-9))\/(6\/(-558))*-56*(-45)\/5040?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 61*q**4 + 30*q**3 + 4819644*q**2 - 4819644*q**2 + (-1 - 2 + 5)*(q + 2*q**4 - q) in the form i*q**3 + v + n*q**2 + r*q**4 + l*q and give i.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) be the second derivative of w**5\/20 + 25*w**4\/6 - 17*w**3\/2 - 1486*w. Factor f(q).\nAnswer: q*(q - 1)*(q + 51)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -150 (base 8) in base 4?\nAnswer: -1220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6963, -6966, -6967, -6966, -6963, -6958?\nAnswer: -6951","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -0*n. Let z = -3684 - -3715. Sort n, -3, z in descending order.\nAnswer: z, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5.3 - -5. Sort -4, t, -3 in descending order.\nAnswer: t, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 23 * -0.4.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be 5238\/924 - (-3)\/(-6). Let y = g - 60\/11. Let i = -3.3 + 3. Sort 5, i, y.\nAnswer: i, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -4.092 times 0.5\nAnswer: -2.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 - 103 = -5*o. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 333 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (o**3 - o**4 - o**3)*(-1048*o - 1216*o + 1983*o).\nAnswer: 281*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 10 - 5. Suppose h*u = -3361882 - 2138118. Round u to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -134201022 + -2011?\nAnswer: -134203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b - o - 1 = 0, 0 = 5*o + 4 - 24 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.06 and -0.01?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*-1*sqrt(490))\/(-1*sqrt(288)*1).\nAnswer: 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - -27?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = -11 + 6. Let w = -5.7 + 7.4. Let s = w - 1.7. What is the second smallest value in -0.4, s, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5741567 nanometers to meters.\nAnswer: 0.0000000005741567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/157 in 5, 1, -9, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + -11 + -18 + -17 + 119 + -65?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the first derivative of -v**4\/4 - 4*v - 5. Let j(l) = -l - 3. Let x be j(-3). Calculate o(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (24\/14 - 0)*(-21)\/(-3). Let m(u) = -u + 5. Let g be (-43)\/6 - (-4)\/24. Let y be m(g). Calculate the greatest common divisor of y and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f - 13. Let s(h) = -13*h. Let l(p) = 25*p. Let m(i) = l(i) + 2*s(i). Determine m(g(y)).\nAnswer: 2*y + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m**4 + 25*m**2 + 6*m. Let c(l) = -l**4 + 25*l**2 + 5*l. Let w(r) = -6*c(r) + 5*g(r). What is the third derivative of w(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be 210\/(-2)*3\/(-9). Let g = j + -15. Let x be (8\/g)\/(3\/15). Put -4, x, 4 in descending order.\nAnswer: 4, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 - 45*x**2 - 124*x + 3565. What is m(46)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5138 divided by 11.\nAnswer: 5138\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -7*i + 11. Let x be k(2). Let d be (-1)\/((-5)\/(-1))*(x - -4). Let v = 1.8 + 0.2. Sort d, v, 0, 3\/5 in descending order.\nAnswer: v, 3\/5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.5435 * 0.4.\nAnswer: -0.2174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -8, -0.2, 4, -0.1 in decreasing order.\nAnswer: 4, 1, -0.1, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 0*h = -4*n + 49, -5*n = -5*h - 55. Calculate the remainder when (-1)\/((-6)\/(-138))*(-1 - 0) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 38 minutes after 7:17 PM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/2346 and 76\/51.\nAnswer: 2346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is q in -10*q**4\/9 - 669908*q**3\/3 - 33650348374*q**2\/3 + 2383536391496*q\/9 - 464593008184\/3 = 0?\nAnswer: -100498, 3\/5, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j - 346360 = -131*j. What is the remainder when j is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1012131 - 2?\nAnswer: -1012133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -25*l**3 - l**2. Let a be j(-1). Suppose -19*i = -a*i + 195. Suppose 5*s = s + 80. What is the remainder when i is divided by s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -398007 or -398005?\nAnswer: -398007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11875 - -3160. What is c rounded to the nearest one thousand?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2.61853243 to two decimal places.\nAnswer: 2.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -72 - -76. Sort -7, w, -3, 0 in decreasing order.\nAnswer: w, 0, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3886 divided by -1?\nAnswer: 3886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is b in -4*b**3 + 12*b + 8 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + 44 = b, -28 = w - 3*w + 3*b. What is the smallest common multiple of w + (0 - -2)\/(-1) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*8\/1120*14*(-10)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -5, 2 in descending order.\nAnswer: 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 3, b: 8}. What is prob of picking 3 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jiit when four letters picked without replacement from iiijiitijjittijtjiij.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -46332 (base 16) to base 5\nAnswer: -33200123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -4*k**2 + 10*k**4 + k**3 - 2*k**3 + 9 + k**3 + 323 wrt k?\nAnswer: 40*k**3 - 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6 - 6) + -1 + 163. Suppose 157*j = v*j - 5. Let l(c) = -c**3 + 3*c**2 - 1. Give l(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -59 - 80 = -2*h + y, 0 = -4*y + 20. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 128 + -133. What is the nearest to 2 in -1, -2, w?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 122960247?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 7573, 3, 4 in increasing order.\nAnswer: 2, 3, 4, 7573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -24, -50, -88, -144, -224?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 - 5)*(6 - 2*g - 6)*(3*g**2 + 19*g**3 - 24*g**3 - 5*g + 7*g) to r*g**3 + w*g**2 + m*g + x*g**4 + i and give w.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (10*y + 8*y + 4*y)*(6*y**2 + 2*y**2 - 4*y**2) to the form v + m*y**3 + f*y**2 + j*y and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/(99\/11)*(-6)\/((-168)\/(-77))?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = 25932*q**2 - 4*q + 7. Let n be m(-3). Let d = 354407 - n. Round d to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11100 - -10220022?\nAnswer: 11001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3 + 1)*(0 + 2*i + 0 + 3 + i - 3 + (-5*i + 0*i + 4*i)*(0 + 2 - 4) - 3*i + i + 3*i).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be 38\/9 + (-4)\/18. Suppose 0 - 4 = -r. Suppose -2*q - 14 = 4*i, 0*q + 5 = -r*i + q. Put f, i, -5 in decreasing order.\nAnswer: f, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1562842 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-2296)\/(-24969)*(-21)\/(-56)\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 46*i + 2619 = 886 + 1319 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1477634.\nAnswer: 2, 397, 1861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -368 + 368.1. What is the fourth biggest value in p, 1\/18, -1\/8, 0.2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = 7*r + 10. Let j be -5 + ((-3)\/1 - (4 - 9)). Let a be i(j). Let g(n) = 5*n**2 + 11*n - 11. Let f(m) = -3*m**2 - 6*m + 6. Calculate a*f(x) - 6*g(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = 3*n. Let a(h) = -2 + 52*h**3 - 51*h**3 + 3. Calculate a(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 26? (a) -3 (b) -2660 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 23 - 4 - (0 - -1) - (10 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 3140000*r**2 + r - 1. Let z be q(1). Suppose -52*l + 51*l = -z. What is l rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find n such that n**4 + 459*n**3 - 73394*n**2 - 228816*n + 747520 = 0.\nAnswer: -584, -5, 2, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-2)\/(-4))\/1 - 108\/(-24). Factor -4*f**2 + 32*f + n*f**2 - 7*f**2 + 2*f**2 + 6*f**2.\nAnswer: 2*f*(f + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 43 - 2. Let b = -9 + p. Suppose -29 = i - b. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 790800?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6185800 is divided by 48.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 8 (b) 0.05 (c) -119201 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.05 + -0.15. Put -4, s, 4 in ascending order.\nAnswer: -4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -41280 divided by 645?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:54 PM and 12:44 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 8*p = 3*u + 7, -p - 3*u = 1. Let j(t) be the first derivative of 9*t + 3*t**p - 19 + 1\/3*t**3. Calculate j(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = i + 92*u - 88*u - 11, -12*i = -4*u + 76 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express (18*j**2 - 36*j**2 + 14*j**2)*(-134 + 134 + 58*j) + (2 + j**2 - 2)*(5*j - 3*j - j) as b*j + y + i*j**3 + z*j**2 and give i.\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 140 = r - 5*f, -91 = 3*r + 4*f. Let o = r - -31. List the prime factors of -4 + 1 + 126\/o.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 2 + (-1 + 2 - 2)*(2 + 3 - 3))*(-2*s + 3*s + 4*s)*(-2 - 1 - 1).\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be 15 - (-1 - -4) - -4. Let w = 0 + 5. Solve -w*m + 41 = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 36751235013 + 7.73.\nAnswer: 36751235020.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = 203.9 + -195. Let f = 9 + 0. Let c = f - z. Sort -2\/11, c, -2 in decreasing order.\nAnswer: c, -2\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*y = -2*y + 4*y + h - 32, 9*y = -5*h + 40 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(408)*-1*-3)\/(-2*sqrt(24)\/sqrt(2)))\/((sqrt(192)*-6)\/(sqrt(6) - sqrt(72)\/(sqrt(12) + sqrt(12) + sqrt(48)\/sqrt(4)))).\nAnswer: sqrt(17)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.31 - -1.39. Let f = 0.01 + 1.99. Let o = f - y. Put 5, -0.3, o in ascending order.\nAnswer: -0.3, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 11 - -40220?\nAnswer: 40231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 6*d - 1. Let i be t(1). Let f be -5 + 6*70\/21. What is the remainder when 47 is divided by f\/((12\/i)\/4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 29*p + 16*p - 48*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 - (-9 - (-6 + 4)). Let c = r + 0. Solve 4*b - c = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -11071*k*l**3*w + 2*k*w**2 + 2*l**3*w**2 - 22724*l**2*w**2 - l wrt k?\nAnswer: -11071*l**3*w + 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -698*w + 897*w + 2436 = 51788. Let q(g) = 8*g**3 - 2*g**2 - 5*g + 3. Let l be q(3). Calculate the greatest common divisor of w and l.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1897820.7 to the nearest one thousand.\nAnswer: -1898000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 56 - 3*a + 13*a**4 + 7*a - 2*a - 3*a + 9*a**5 + 0*a**5 wrt a.\nAnswer: 180*a**3 + 156*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = 4*j - 3*x, 86*j = 35*j + 53*j + 14*x - 36 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.0264 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1260 and 43155.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j - 2*p - 85, 3*p = -4*j + p + 50. Let d be (-3)\/(-3)*j\/3. Suppose -2*z + 0*z = -5*o + 6, -d*z + 12 = o. Round o to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1431.\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p + 14 = 2. Let h = 1 - -6. Let q = -4 + h. Which is the smallest value? (a) p (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 + 5 = -5*a. Is 403\/1 + a + (45 - 47) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuuuuuuuuuuruuuuuu.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-15)*25\/(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Divide 17979279 by 41.\nAnswer: 438519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/((-30)\/(-8))*-5. Let r = m + 6. Let q(p) = -2*p**2 + r*p + 2*p + p**2. What is q(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19, 24, 29, 34, 39?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 155476297 to the power of 1\/2, to the nearest integer?\nAnswer: 12469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5863465451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = -g + 2. Let o be j(4). Let m be o\/(-10) + 6\/(-30). Suppose -21 = -8*z + 91. Solve -4*w - z - 2 = m for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 + -14)*6\/((-192)\/104). What is the second derivative of -71*h**2 - 64*h + 123*h - p*h wrt h?\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**2 - b. Let v be m(-1). What is the second derivative of -a**2 + 3*a**3 - 3*a + 0*a**v + a**2 wrt a?\nAnswer: 18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find c such that -4*c**2 + 1880*c + 45356 = 0.\nAnswer: -23, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -87 (base 13) in base 12?\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -1343340 (base 6) to base 3\nAnswer: -10212011220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78*j = -70*j - 48. Solve 0 = 3*x + 4*b + 4 + j, 5 = -5*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 44\/(-2)*(-1936)\/(-5324)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(1100) + -1*sqrt(1100))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2\/6307 - 37732\/346885. Is 1 < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 5, 6, -29, 1 in descending order.\nAnswer: 6, 5, 3, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -2398*b + 88574. Give z(37).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -1. Let f(o) = 1. Let h(u) = 2*c(u) + f(u). Let j(k) = -k + 12. Let a(q) = 5*h(q) + j(q). Give a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 237131706 to the nearest integer?\nAnswer: 15399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-889)\/(-28) - (-2)\/8. Calculate the greatest common factor of 8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 44621?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -3*t - 12. Which is the smallest value? (a) -65 (b) t (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 16*i**2 - 11*i. Let h(s) = 3*s**2 - 2*s. Let n be (0 + 33)*3\/18*2. Let u(g) = n*h(g) - 2*r(g). Let b(j) = -6*j. Calculate u(b(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 7522 (base 9) to base 11\nAnswer: 4176","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 10:51 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 2 = 3*l. What is the common denominator of (1 - 2 - l)\/(60\/(-261)) and 1\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 6*x**2 - x. Suppose g = 4*v + 24, v = 3*v + 2*g + 2. Let m = v - -7. Suppose -f + 3*f = m. Determine h(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -217*k**3 + k**2 + 12*k - 11. Calculate s(1).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 36\/(-48)*(-4)\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.06 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -11321111122221 + 12?\nAnswer: -11321111122203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3267) + (-2*sqrt(3267) - sqrt(3267)) + sqrt(3267))\/(2*sqrt(324)).\nAnswer: -11*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 65875718 to the nearest integer?\nAnswer: 8116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1.899860082 rounded to 4 decimal places?\nAnswer: -1.8999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**0)**(21\/4)*(j*j**8)**(-3\/34) assuming j is positive.\nAnswer: j**(303\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 4*v = 0. Let t = -6 - -11. Suppose -3*b = -2*b - t. Solve v = -0*n - n + b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1910334 + -4782334. Round i to the nearest 10000.\nAnswer: -2870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 5*i - h + 20, 5*i + 5*h = 0. Let b = 4 + i. Suppose b = -z - 4, 5*c = 3*c - 2*z - 18. Put c, 4, 0 in ascending order.\nAnswer: c, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:48 PM and 2:57 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2*(-9)\/(-2) + -3. Suppose 0 = -5*f - j - 4, -3*l - 4*f + 22 = 0. Calculate the remainder when 19 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-118)\/177 + (-28)\/(-6). Suppose -18*q - 8 = -2*c - 20*q, -x*q + 2 = -3*c. Put c, -2, 9, 5 in decreasing order.\nAnswer: 9, 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1116 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 245845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -9*c**3 + 0*c**2 + 7*c**3 + 5*c**2 + 3*c**2 wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 - (4 + -1) - (-50 - -37).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(68) + 5 + 4))**2 - (-4*-2*sqrt(68) - (5*(-2*sqrt(68) + sqrt(68)) - sqrt(68))).\nAnswer: 116*sqrt(17) + 596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the third derivative of -r**4\/6 + r**3\/6 - r**2. Suppose 0 = -f + m + 3, 18 = -18*f + 20*f - 5*m. Calculate c(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/3 (b) 1 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1165 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -11 = -13*g + 18*g + d + 4, 0 = -3*d for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 178*c**2 - c**2 + 50*c**2 + 82*c**2.\nAnswer: 309*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -38 or -59?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.00704 and 0.5.\nAnswer: 0.49296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -19931 (base 12) in base 2?\nAnswer: -1001001011110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaa when three letters picked without replacement from aaaaafaafafaaaafafaa?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the first derivative of -374*b**2 + 223*b + 137. Is l(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(304) + (0 + sqrt(304) + sqrt(304) + 2)**2 - (sqrt(304) + -5*(sqrt(304) + 1)**2).\nAnswer: 72*sqrt(19) + 2745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = 108 - 105. Let y be (-1 + t)\/(12\/54). Suppose y*n = 13*n - 236. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.097 and 0.97126.\nAnswer: -0.09421222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*l**2 + 2*l**3 - 457*l + 20 + 457*l to the form n + g*l + k*l**3 + j*l**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -7, 0.0139, 0, 4.\nAnswer: -7, 0, 0.0139, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 943.\nAnswer: 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -1.1, 1\/6, 1\/141, 5?\nAnswer: 1\/141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -8*j - 19 + 34 - 15 to the form y*j + x and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 9*z**2 + 6*z + 4. Let q(h) = 64*h**2 + 42*h + 30. Let j(c) = -15*f(c) + 2*q(c). Let v(a) = 8*a**2 + 7*a. Calculate -7*j(k) - 6*v(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 12, -5, 6, 1, 3 in decreasing order.\nAnswer: 12, 6, 3, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f + 175 + 91 = 0. Is -1 - (1125\/4)\/(f\/1824) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:56 PM and 11:34 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-8 + 8)*2\/4. Suppose -9 + o = -u. What is the remainder when 49 is divided by (-30)\/u*(-45)\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**(-12\/11)\/(q**16*q))\/(q**(3\/20)*q**10\/q) assuming q is positive.\nAnswer: q**(-5993\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 5 in -0.4, -0.02, -0.01, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 9*w. Let y be (w + 6\/(-18))*-6. Let v(l) = l**2 + 3*l - 6. Let h be v(-5). Solve 0 - h = -y*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -10 - (-1 + -10 + (-77 - -64 - -29))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = x, 3*x + 108 = -u + 5*x. Suppose 150 + 743 = -5*l - 2*y, -3*l - 527 = -y. Let h = u - l. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -31 + 24. What is the nearest to 0.1 in 4, o, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 159014\/11 + 260\/11*m**3 + 1032*m**2 + 2\/11*m**4 + 170108\/11*m.\nAnswer: 2*(m + 1)*(m + 43)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1\/2 and 46533034 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 101798.\nAnswer: 2, 23, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 14348 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6856 is divided by 250.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2 (b) 26948 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.09954ng to tonnes.\nAnswer: 0.00000000000000309954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (146*p**2 + 134*p**2 - 94*p**2)*(-2 + 4 - 1) as o + z*p**2 + m*p and give z.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be -3 - (-20)\/4*1. Let h be v\/(-7) + 3 + (-27)\/(-21). Solve -4*d - 36 = -4*a, 0*d = -5*a - h*d + 9 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (1 + -1)\/(1 - -1). Let s = 74 + -72. Solve -s*d + 5*d = a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2619*z - 103571 + 24368 = -1329*z - 711*z for z.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -24*n**3 + 84*n**2 + 93*n\/2 + 6.\nAnswer: -3*(n - 4)*(4*n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 34232420 divided by 5?\nAnswer: 6846484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine c so that -5*c**5 - 97875*c**4 + 391590*c**3 + 195730*c**2 - 1174785*c - 881055 = 0.\nAnswer: -19579, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -63\/3040 and -53\/1856?\nAnswer: 176320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 42081 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -172*a**4 - 3*a**2 - 2. Let v(s) = -344*s**4 - 5*s**2 - 4. Let y(j) = 5*b(j) - 3*v(j). What is the derivative of y(k) wrt k?\nAnswer: 688*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 1 - 3. Let w = 4814.101 + -4812. Let m = -0.101 + w. Which is the nearest to m? (a) q (b) -1\/8 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u + 5. Let a be n(-3). Suppose 232 + 23 = a*j + f, 0 = -3*f + 3. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be -3*(-2 - -3) + 80. Let b = -58 - -37. Let s = -14 - b. Calculate the highest common factor of s and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the first derivative of 0*d**3 + 38 + 0*d**2 - 28*d - 39\/4*d**4. What is the derivative of u(s) wrt s?\nAnswer: -117*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -67625628 divided by 16906407\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**2 + 4*k + 1. Let r(s) = 1. Let v be (-2)\/5 + 49\/35. Let t(h) = v*r(h) + i(h). Let y(l) = -l. Give -t(c) - 5*y(c).\nAnswer: -c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = -50 - -70. Suppose 0 = -2*a + 5*a. Suppose 0*s - 5*f = s + 13, 4*s - 4*f - q = a. Solve 2 = d - s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -57137165 (base 8) in base 6?\nAnswer: -1121042153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 23.13 - 0.73. Let u = y + -22. Sort -1, u, 2\/7.\nAnswer: -1, 2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = 20, v = 2*w + 3*v - 2. Suppose -m = 5*k - 547, -k - w*m + 70 + 49 = 0. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1319649.\nAnswer: 3, 439883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(228) - -6*(sqrt(228) - sqrt(228)*2))\/((sqrt(900) + sqrt(36))\/sqrt(3)) + 5.\nAnswer: -5*sqrt(19)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 60, 5, -45 in ascending order.\nAnswer: -45, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6317965337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be 1\/3 - (-62)\/3. Let o = 80 - c. Calculate the remainder when o is divided by 31 - ((-4)\/8)\/(5\/(-10)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*v - 15, -u + v + 1 = -17. Solve -j = 17 - u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 7, 1.6 in increasing order.\nAnswer: 1.6, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 14818971, 29637936, 44456901?\nAnswer: 59275866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4\/749 + -77171\/4494. Let b = 19 + 231. Let u = b + -4417\/18. Find the common denominator of u and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 103092 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 9*v - 32. Let k be a(4). Suppose -k*g - 32 = -20. Put -4, -2, g, -5 in decreasing order.\nAnswer: -2, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -98462\/17 or -5793?\nAnswer: -98462\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = 57 - 54. Let i(o) = 2*o - f - o + 4. Calculate i(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z**4\/4 - 24065*z**3\/4 - 286165*z**2\/4 + 9099845*z\/4 + 4680975\/2 = 0. What is z?\nAnswer: -4801, -26, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 7 - 7 - 2*h**2 + (-h + 3*h + 0*h)*(2*h - 1 + 1) + 6*h**2 - 16*h**2 - 9*h**2.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1362\/(-10 + ((-754)\/(-47) - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 364\/30 + ((-16)\/(-180))\/((-8)\/12). Solve 10 = -4*i + 2*b, -2*b + z = 71*i - 76*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -34*b**3 + 7*b - 12. Let l(w) = -6*w + 11*w - w + 1 - 5*w. Let v(g) = -3*i(g) - 21*l(g). Find the first derivative of v(o) wrt o.\nAnswer: 306*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 4*i**3 - 1\/2*i**5 + 0*i**4 + 0*i**2 + 0 - 8*i = 0. What is i?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*i**2\/11 - 6009032*i\/11 + 4513558197128\/11 = 0 for i.\nAnswer: 1502258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**2 - d + 11. Let z(l) = 2*l**2 + l - 15. Determine 8*r(g) + 5*z(g).\nAnswer: 2*g**2 - 3*g + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25 + -22. Suppose 4*m - a*k = 4 + 13, 2*m - 5*k = 5. Let j = 11 - 9. Solve 3*u + 2*x = -6, -2*u + j*x - m*x = -1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = -v**2 + 16*v - 8. Let a(u) = 2*u**2 - 5*u - 6. Let d be a(4). What is the units digit of l(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhho when four letters picked without replacement from {o: 15, h: 5}.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -27\/11 or 2?\nAnswer: -27\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -862\/3 + 287. Which is the closest to 0.2? (a) n (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 27 or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -696*h**2 + 163*h + 6 wrt h.\nAnswer: -1392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 4*q**3 - 39852*q**2 + 100348224*q - 5399265520 = 0.\nAnswer: 55, 4954","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/(-4)*28\/(-6) + -3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the second derivative of -p**3\/6 - 21*p - 2. Let n(v) = 254*v**2. Give n(t(q)).\nAnswer: 254*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = m - 2*m + 129, 0 = 4*f - 5*m - 251. Let y = 5 + -2. Suppose s + f = y*s. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -667343 - -0.3?\nAnswer: -667342.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) 0.21 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 27 = -m. Let r be (-24)\/5 - 2\/10. Let c = m + r. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 374 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 118266?\nAnswer: 2, 3, 23, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -47\/4 and 43\/626?\nAnswer: 1252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -b + 2*c = -6, -3738*b - 3 = -3741*b + c for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 586 minutes before 7:58 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 24286062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -4*g**2 - 8*g + 6. Suppose 6 = t - 5. Let m = -399 - 6. Let f = 399 + m. Let r(k) = -7*k**2 - 15*k + 11. Determine f*r(w) + t*h(w).\nAnswer: -2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -7*v**3 - 22*v**2 - 58*v + 1. Let u(z) = -19*z**3 - 66*z**2 - 173*z + 3. Let h(g) = 8*k(g) - 3*u(g). Find the second derivative of h(m) wrt m.\nAnswer: 6*m + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -219*g + 15065. Give p(71).\nAnswer: -484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1529233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -105*u + 680 = -20*u for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -415665*d**5 + 1266*d**3*h**3 + 2*d**2*h**2 - 3*d**2*h + 17*d**2 + 2*d - 1987668*h**3 + 2*h**2 wrt d?\nAnswer: -24939900*d**2 + 7596*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -22 - -26. Suppose -3*o - 4*u = -u - 9, 2*o - 6 = -3*u. What is the remainder when g is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a decade in years?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -20.9 + 21.9. Is 47\/4 at most as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 8274646, 8274641, 8274634, 8274625, 8274614, 8274601?\nAnswer: 8274586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-1))\/(47\/(-188))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 611912.\nAnswer: 2, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the first derivative of u**5\/60 - 5*u**4\/24 + 37*u**3\/6 + 6*u**2 + 42. Let m(c) be the second derivative of n(c). What is the tens digit of m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -468, -951, -1440, -1935, -2436?\nAnswer: -2943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -2 + 203280522?\nAnswer: 203280520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be 1*-3 + (1*-5)\/(59 + -60). Solve -o*m = -j - 14, 2*m + j - 2 = -4*j for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -52.05 + 52.4766. What is b rounded to 2 dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4\/(-14) - 30\/(-7). Suppose 0 = 2*g + g + 6, -d*q - 4*g = -32. Suppose 4*s - 5*s = -q. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 23 and 2634.\nAnswer: 60582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7757 is divided by 445?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -11, -0.1, 0.01, 4, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/(-1)*(-48)\/(-144)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/3, 7\/4, -582969 in decreasing order.\nAnswer: 7\/4, 1\/3, -582969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*q**2 - 4*q**2 + q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 238\/769 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 101131 and -504.4?\nAnswer: -51010476.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1506913559 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) be the second derivative of y**3 + 111*y**2\/2 + 40*y - 43. Calculate i(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40*r + 172*r - 47*r - 47*r - 37*r + 30 - 35.\nAnswer: r - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -7 - 2*a**2 - 5*a**2 + 4*a**2 - 7*a + 2*a**2. Let p be k(-5). Suppose 2*q - 9 = -5*v, -q + 0*q = p*v - 3. Solve y + 3*y = -q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -911, -905, -899, -893?\nAnswer: -887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 6*t + 17 = t, 0 = 3*z + 4*t + 16. What is the second smallest value in z, 2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/(-18)*(-279)\/(-1860)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -388 times -0.079?\nAnswer: 30.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 3*a**2 - 46*a + 43. Let k(q) = -2*q**2 + 31*q - 29. Let s(b) = -7*k(b) - 5*o(b). Let m be s(12). Let h be 11\/22 - (-1)\/(-2). Is m bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:24 AM and 9:52 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13 - 41. Let r = n - -40. Suppose -4*x + x = -r. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = -4*x**2 + 6*x + 1. Let r(o) = -3*o**2 + 5*o. Let w(a) = 4*d(a) - 6*r(a). Find s such that w(s) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 32040 and 5340?\nAnswer: 32040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d be (48\/(-15) - -3)*-5. Let k be 36\/(-10)*(-20)\/6. Let y be 2\/(-3) - (-8)\/k. Solve y = 2*b - b + d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1181597 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 78 a factor of 27687960?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 555 and 9805.\nAnswer: 29415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*p = -10*p - 30. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -60 + 363*a + 443*a + 10*a + 65 + 373*a as d*a + u and give d.\nAnswer: 1189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1012 - 516. What are the prime factors of q?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 40\/60 - (-130)\/(-6). Which is the biggest value? (a) 0 (b) 2\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 - 76136?\nAnswer: -76141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-v**3 + 2*v**3 - 3*v**3)*(63 - 1412*v + 867*v + 746*v + 22).\nAnswer: -402*v**4 - 170*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 415387 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let 5*g**4 + 11800*g**3 + 6938355*g**2 - 27907020*g + 20956860 = 0. What is g?\nAnswer: -1182, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 431*c**3*o**2 + 112*c**3 - c*o - 22757*o**2 wrt c?\nAnswer: 2586*c*o**2 + 672*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -c**3 - 2*c**2 - 3*c - 1. Let b(r) = r**3 + 5*r**2 - 5*r + 4. Let v be b(-6). Let j be x(v). Factor -i**2 + j*i**3 - 5*i**3 - i**3.\nAnswer: -i**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 22\/(-11) + (8 - 7392\/1239).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -69*z + 328. Is 25 a factor of f(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 344 minutes before 3:17 PM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -4*u**3 + 56*u**2 + 128*u = 0. Calculate u.\nAnswer: -2, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 791194 a multiple of 110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -142516561, -142516562, -142516563?\nAnswer: -142516564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 16356255 to the power of 1\/2, to the nearest integer?\nAnswer: 4044","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -96? (a) 2\/3 (b) 1\/3657 (c) -5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(1\/6)*u*u)\/(u\/u**(-1\/2)))\/(((u**(1\/6)\/u)\/u)\/u**(5\/4)) assuming u is positive.\nAnswer: u**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = -14*o + 17*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -593824 divided by 26992.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 1, 545179.\nAnswer: -12, 1, 545179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1294 - 1293.999281. Round a to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*a**2\/7 - 64*a\/7 - 60\/7 = 0. What is a?\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16550.6 - -16551. What is the smallest value in 2, -3, -0.5, 102, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 236475 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 0.1, -25.57, -0.4 in decreasing order.\nAnswer: 5, 0.1, -0.4, -25.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -106*d - 63*d + 86*d - 44*d - 3*d**2 - 4*d**2 in the form f*d**2 + r*d + a and give f.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*w - 1232 + 1316. Solve -36 + 18 = -w*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -h**3 - 13*h**2 + 21*h + 96. What is i(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -34*c**2 + 333*c + 1335. Determine q(-4).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -272*k - 496. Is d(-18) a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*t + 11784 = 17*t. Let p = t + -1145. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9.6 - 10.6. Let h be 2*(3\/(-6) + 1). Let j = 0 + h. Which is the closest to f? (a) 2 (b) -1\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -3*x - 2, 0 = 2*j + 2*x - 564. Suppose 728 = 5*h + 3*q, 0 = 2*h + 2*q + 2*q - j. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2562719 to four dps.\nAnswer: -0.2563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z + 102 + 300. What is the remainder when z is divided by 38?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 42899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.02282 to 3 decimal places.\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 1.253863mm?\nAnswer: 1253863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 310 minutes after 10:35 PM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -4*f. Let i be k(-3). Suppose 5*t = -n + 127 + 851, 0 = -4*n + i. Let g = t - 101. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 254965*g**3 - 5*g**2 - 58503794*g wrt g.\nAnswer: 1529790*g - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 20.6 and -257941?\nAnswer: -5313584.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -549 - -433. Put 5, 0, p in descending order.\nAnswer: 5, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4297 is divided by 1389?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 3, n: 7}. Give prob of picking 1 n and 3 r.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 j when two letters picked without replacement from jnnsnnnssjnjjnsnsj.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3173 - -2062. Which is smaller: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6326, -103, 1, -8 in decreasing order.\nAnswer: 1, -8, -103, -6326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve o = -8*y - 3, 4 = 4*y + o + 7 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (247*f - 562*f + 258*f)*(-2 + 4 + 2).\nAnswer: -228*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -347, -397, -447, -497, -547, -597?\n\"Answer: -50*j - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-12)\/20 + 326\/10. Suppose -v*t = -30*t + 230. Let l = t - -577\/5. Which is the nearest to 2\/3? (a) 7 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8581 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -51*a**2*o*y**2 - a**2 - 13*a*o**2*y**2 - 37*o**2 + 29*y wrt y?\nAnswer: -102*a**2*o - 26*a*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or 346.9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 58629?\nAnswer: 3, 19543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5.7 - -0.3. Let k = 5 - q. Is -1 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5 - (1 - -3)) + 9. Suppose q + f = -2*m, 0 = 4*m - 3 + 23. Suppose 2*z - 8 = 30. Solve -i + 5*d = -7, -3*i - 5*d - z = -q*d for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10 - (-3 + 4 + 1) and 12\/9 - (-3)\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 10*r - 24. What is the remainder when 126 is divided by f(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 84, 340, 766, 1362, 2128?\n\"Answer: 85*r**2 + r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 56682247?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -17882, -329, 4, 5 in decreasing order.\nAnswer: 5, 4, -329, -17882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -2*j - 4. Let b be u(-3). Let v(n) = 3. Let x(z) = -z - 6. Give b*x(o) + 5*v(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*n - 12 = -3 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = -5*t + 15, -3*t - 4 = u - 13 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/3, -5, 3, -0.3 in decreasing order.\nAnswer: 3, 4\/3, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 2*u - 74, l + 75 = 2*u - 4. Suppose -5*o + u = 17. Solve -24 = o*h + n, -2*h = 5*n + 24 + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 415*v - 63*v + 11558 = 9*v - 13481 for v.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(4\/5)\/f)\/f)\/f**5)\/((f\/f**(-1\/4)*f)\/f*f*f**(-3\/2)) assuming f is positive.\nAnswer: f**(-139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 - (7 - (0 - (-4 - -4))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 5*c + 12. Let s be (7 + 3 - 0) + c. Let y(q) = -q**2 + 7*q + 5. Give y(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 92*x - 92*x - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 3 y when four letters picked without replacement from {q: 6, y: 12}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*f**2 - 4 - 2*f**4 - 6*f**3 + 7*f**3 + f**4 + 6 to t*f + r*f**2 + p + z*f**4 + n*f**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) -5 (b) -3\/4 (c) -4971 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -73, 0.4, 0.2, 23, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 3634 divide 203987322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.116555 millennia?\nAnswer: 1398.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (17 + -3 - 21) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from hnnnhhnhhhnhnnnhhnhh.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -7.152 - -3.152. Which is the smallest value? (a) -0.2 (b) -7\/2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -14 + 22. Let q be 1\/4 + (-26)\/u. What is the nearest to q in -1, 1\/2, -1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -12213013332 (base 4) to base 16\nAnswer: -1a71fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (22 + (-1239)\/42)\/(3 + 113\/(-36))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8 + 4 + 1 + (-9 - -16) + 9?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -553 - -2072. Does 25 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k**(2\/11)*k*k)**(4\/7) assuming k is positive.\nAnswer: k**(184\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjlvljlllvvvjlvll. What is prob of picking 1 j and 1 l?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -5214 - -2a920?\nAnswer: 25707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*v = -4*u + 13*v - 3, 4*v = 5*u + 5. Suppose 9\/2*q**4 + 2*q**5 - 4*q**2 + q**3 - 1\/2 - u*q = 0. What is q?\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -16 + 21. Let o(m) = 2*m**2 - 4*m + 9. What is the units digit of o(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4\/(3\/(-6) - -1) and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*f - 5157 = -122*f - 50*f for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 22*i + 2 + 10*i.\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 10) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1)\/1*(5 + -6). Suppose -5*k = 2*x + x - 12, 2*x = -k + u. Let q = 0.1 + -0.2. Which is the nearest to q? (a) k (b) -2\/11 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-56 - 57 + 8)*(-n**3 - n - n + 3*n**3).\nAnswer: -210*n**3 + 210*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -33 - (-16)\/((-432)\/(-513))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -193819 + 112517. Let f = y + -214698. Round f to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 345 minutes after 11:57 PM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 - 21*y**3 + 15*y**3.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -66 + 66.37. Let x = 0.07 - a. Let i = x + 0.299984. What is i rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (10\/6)\/((-42)\/(-126)). What is the greatest common divisor of 65 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2705 and 6449910200?\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - 3*w + 396, -5*x + 0*w + 2*w = 645. Let t = x - -504. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q, 1 x, and 1 c when three letters picked without replacement from {x: 1, q: 1, c: 1, i: 1, j: 2, y: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 1\/5, -1, 17\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33088423?\nAnswer: 47, 704009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 10*t - 280. Let g(m) = 2*m + 7. Let f be g(-10). Let v = t + f. Calculate the highest common factor of v and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s\/(s**(2\/5)*s*s*s*s)*s)\/(s**(-2\/11)*s))\/((s**(-2\/5)\/s)\/((s*s**(2\/3))\/s)))**3 assuming s is positive.\nAnswer: s**(-38\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5932?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1113841 divided by -113\nAnswer: -9857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) be the second derivative of 72*d**5\/5 + 250*d**3\/3 + 307*d. Find the second derivative of k(u) wrt u.\nAnswer: 1728*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - 5) + (-17 - -24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -17*y - 3*y - y**2 + 5*y**3 + 86*y**3 wrt y.\nAnswer: 546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in 2\/7, 55, -1352?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7136?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 123.758 + -124. Let a = w + 0.442. What is the closest to -1\/3 in a, 5\/3, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-38 + 32 - (-2 + -36)) + (2 - 9)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -39 or -79\/2?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 2, h: 8, y: 3, n: 2, v: 2, r: 2}. What is prob of picking 1 h and 2 n?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -4*v**3 - 32*v**2 + 11*v + 15. List the prime factors of a(-10).\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f - 10 - 11 = 0. Solve -2*s + n = -1, 4*s + 10 + f = -3*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -13362452 + -1?\nAnswer: -13362453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 120580 (base 10) to base 9\nAnswer: 203357","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Suppose 5277*i = 5289*i - 43 - 5. Solve 0 = 3*w + b - 7 - 6, -b + 17 = i*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 23*o - 4. Calculate i(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -2444044 (base 5) in base 16?\nAnswer: -b6b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 226 a factor of 5318006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6592515 and 387795.\nAnswer: 6592515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -51, 3, 0.31, -142?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -182*m + 34 - 33 + 2*m**3 - 1330*m.\nAnswer: 2*m**3 - 1512*m + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o. Let m(y) = y**2 - y. Suppose 0 = -3*a - a + 2*z + 70, -47 = -3*a - 4*z. Suppose u - a = -15. Determine u*x(f) + 2*m(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = 142 + -63. Let w(i) = u - 3*i - 86 - i + 2*i. Let d be 40\/(-7) - 6\/21. What is w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in fifty-seven fifths of a microgram?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 555*d + 4163 = -8602 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 207452 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*p**2 + 5673336*p - 2011671335556.\nAnswer: -4*(p - 709167)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -2*w + 377, -2269 + 397 = 5*h + 3*w. Let f be (-1716)\/1287*18\/8. What are the prime factors of f\/(-6) - (h\/6 - -1)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 64*i**2 - 10 - 32*i + 22*i + 19*i - 63*i**2 - 4. Let n(p) = -7*p + 1. Let d be n(2). Is t(d) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (270\/513)\/((-56)\/(-532)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -135*v. Let j be u(-5). Let k = j - 424. Suppose 3*r + k - 1010 = 0. Calculate the greatest common factor of 23 and r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3043*o - 3039*o = 4, 5*z - 5*o + 15 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/8, -2701\/2, -0.5, -3, 1\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 113\/4440 and -71\/5565.\nAnswer: 1647240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -133110\/7, 11, 5 in descending order.\nAnswer: 11, 5, -133110\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**4\/5 - 3458*p**3 - 7766990*p**2 - 1255465750*p.\nAnswer: -2*p*(p + 175)*(p + 4235)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 5*h = 55 - 24, 2*a - 19 = 3*h. Suppose -116 = -a*i + 26. Let r = i - -6. Calculate the highest common factor of r and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7.1 + -11. Round a to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.21141 to two decimal places.\nAnswer: -2.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3168012912 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3064 = 2*j + 4*b, 6*j + 4600 = 9*j + 2*b. What are the prime factors of j?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24\/25 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 151632016?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find c such that 16594029387*c**3 + 5530896891*c**2 - 148743*c + 1 = 0.\nAnswer: -1\/3, 1\/74373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -148, -2, 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 + -13. Let t = o + -4. What is the smallest value in t, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -7*g + 13. Let q be v(4). Let y be ((4\/(-6))\/(-1))\/((-5)\/q). Which is the nearest to -1? (a) 3 (b) y (c) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -18*c**3 + c**2 - 5*c - 8. What is the tens digit of t(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 60983.\nAnswer: 13, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 1, -0.071, 3, 5, 570, -53 in ascending order.\nAnswer: -53, -0.071, 0.3, 1, 3, 5, 570","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i - 2 + 6 = 2*w, -5*i = 3*w + 44. Let x be (6 - 6)\/(w - -10). Solve x*m - 4 = -3*m - 2*o, 3*o - 6 = -2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 5*u**4 - 10*u**3 - 20*u**2 + 10*u + 15 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is ((-9)\/6)\/(76125\/76134 + -1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 65 = -3*g. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 23326013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 214*j - 2418. What is r(7)?\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(-3 + (3*sqrt(2299) - sqrt(2299)) + 2 + sqrt(2299) + 2*sqrt(2299) + 5 + 3*2*sqrt(2299))**2 + 0.\nAnswer: 1936*sqrt(19) + 556390","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -1314.5997 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-704 + 177 + 355 + 3*s + 3*s**2)*(-s + 4*s - 4*s) to w + y*s**2 + m*s**3 + a*s and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -36 + 16. Let b = 0.7503 + -0.8. Let c = -0.9503 + b. What is the closest to 2\/5 in o, 5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 PM and 3:34 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -64, -328, -976, -2188, -4144, -7024, -11008?\nAnswer: -16276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -3*f**2 + 56*f + 22. Let a be o(19). Let y = 18 + -18. Let k be (-2 + (y - -2))\/(-3). Sort 5, a, k in ascending order.\nAnswer: k, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 2 - 16315*k**3 + 8081*k**3 + 14*k + 8233*k**3 - 14*k.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000191 to five dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -5*c + 3*r, -4*c - 2*r = -0*r + 34. Let q = 0.26 + -0.06. What is the nearest to -1 in q, c, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 - 6*f**2 - 4*f + 3. Let g be o(-5). What are the prime factors of g\/(-6) - (-150)\/9?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, d: 7}. What is prob of picking 2 d?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8.87 + 1.87. What is the second smallest value in g, -4, -0.4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -74*n**2. Let s(t) = 28*t + 18. Let p(g) = 79*g + 51. Let v(a) = -6*p(a) + 17*s(a). What is l(v(f))?\nAnswer: -296*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -1013005431 (base 6) to base 4.\nAnswer: -220003030123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*n - 56*n = -70. Let s(b) = 2*b**3 - 17*b**2 - 27*b - 4. Is s(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**2 + 3*l + 1. Let f(p) = p**3 - 3*p**2 + 2*p - 2. Let w be f(2). What is k(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/2709 and (-108)\/(-162) - 411*38\/23220.\nAnswer: 27090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 5*n - 39 + 24 = 0, 3*g = 8*n - 1 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the first derivative of -3*c**8\/112 + 7*c**5\/20 - 7*c**2 - 3. Let g(n) be the second derivative of h(n). Find the third derivative of g(k) wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of h**5\/210 + 2*h**4\/21 + 16*h**3\/21 + 5*h**2\/2 + 3*h. Let z(q) be the first derivative of y(q). Factor z(v).\nAnswer: 2*(v + 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48\/5 of a century in decades?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.03 in -1\/5, 429, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2430 = -13027*k + 13117*k for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l - 15 = 4*a, -2*l + 6 = -a + l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 957547770 + 0.073\nAnswer: 957547770.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(68) + (sqrt(68)*-1 - sqrt(68)))*6 - sqrt(68))\/((sqrt(20)*1)\/sqrt(5))*-1 + -1)**2.\nAnswer: -14*sqrt(17) + 834","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -173 - 4*c**2 + 176 + 8*c - 11*c. Suppose -2*d = 8, -24 = -4*o - 2*d + 5*d. Let f(v) = v + 2 - 3 + v**2 + 0. Calculate o*f(g) + p(g).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15)\/(-6)*(48\/(-20) + 6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-1*sqrt(98) + 5 + -3 + -1*sqrt(98) + 5 + -4)**2*-3.\nAnswer: -1206 + 252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**2 - 13*f + 2. Let x be g(-13). Let s = -0.093 + -8.907. Let b = -25 + 26. What is the smallest value in b, s, x?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23 is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 - (1 + 1) - (-37655532)\/9. Let x = -4616056 - v. What is x rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -10203, -10157, -10075, -9957, -9803, -9613?\n\"Answer: 18*s**2 - 8*s - 10213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*f - 5*b + 2, 16 = 4*f + 4*b. Let h = f + 9. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 + 1 - s**2)*(-s + 5*s + s) - 2*s**3 - 5*s**3 + 5*s**3 + (-2*s - 2*s + 2*s)*(61*s - 61*s - 32*s**2) in the form h*s + z + u*s**3 + o*s**2 and give u.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 9 = -3. Let l(x) = 101*x - 10306. Let r be l(102). Put 4, a, -10, r in increasing order.\nAnswer: -10, r, a, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 69 minutes before 4:42 PM?\nAnswer: 3:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes before 9:49 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -14*k**3*q - 24*k**3 + k*q + q - 43 wrt k.\nAnswer: -42*k**2*q - 72*k**2 + q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 225791, 225796, 225801, 225806?\n\"Answer: 5*i + 225786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sum -52705344.445 and 2.8.\nAnswer: -52705341.645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5499, -10863, -16119, -21213, -26091, -30699, -34983, -38889?\nAnswer: -42363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**3 + 28*a**2 - 144*a.\nAnswer: 2*a*(a - 4)*(a + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-64*x + 64*x - 9978*x**2 - 22233*x**2)*(-x**2 + 2*x**2 + 0*x**2).\nAnswer: -32211*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 12 = -37. Let m be -50*(-2 - g\/(-39)). Let w = m - 112\/3. Which is the smallest value? (a) 9 (b) w (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 301 and 5375.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 74873969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -6066 divided by 18\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 15*128\/1200*(-30)\/4\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) be the third derivative of u**6\/480 + u**5\/30 - 2*u**4\/3 - 64*u**3\/3 - 381*u**2. Find d, given that h(d) = 0.\nAnswer: -8, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.107 - 187568177792.\nAnswer: -187568177791.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 119 and 29070.\nAnswer: 203490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-66148)\/3595*750\/120.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 243186?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find n such that 0 + 6\/5*n + 2\/5*n**3 + 8\/5*n**2 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35288807.\nAnswer: 197, 271, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6368 is divided by 48?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 42*c*o - 197*c + 139222*o wrt c.\nAnswer: 42*o - 197","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be -2 - (-51 + 1 + -7). What is the units digit of x\/(-33) + (1109\/3 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (-1*(sqrt(252) + sqrt(252) + (sqrt(252) - (sqrt(252)*-1 - sqrt(252))) + sqrt(252)))\/((sqrt(216)\/(sqrt(4) + sqrt(4)*1))\/sqrt(6)).\nAnswer: -24*sqrt(7) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the third derivative of -r**4\/6 + 204*r**2. Let s(g) = 269*g**2. What is f(s(q))?\nAnswer: -1076*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 2*y - 24 = -3*y, y = -3*v - 37. Let f = 74 - v. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (6 - 0)*(-42)\/(-9). Let m(b) = -3 + c*b + b**2 + 8 - 24*b. Let r be m(-4). Is -1 less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -187765664, -375531328, -563296990, -751062650?\n\"Answer: n**2 - 187765667*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 57 a factor of 4234568304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -207885767047925 + 3\nAnswer: -207885767047922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the third derivative of -51*u**5\/20 - 4*u**2. Let m(h) = 24*h**2 - 10*h. Let i(o) = -7*o**2 + 3*o. Let v(x) = 10*i(x) + 3*m(x). Give r(v(y)).\nAnswer: -612*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.009454l to millilitres.\nAnswer: 2009.454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 33999998 = -5*j - 2*d, j + d - 2*d = -6800001. Round j to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j**2 - 71*j - 105. Determine l(37).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 49*r - 13*r - 69992 = -16*r. Does 35 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2595 or 0.666?\nAnswer: 0.666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (928 + 237 - 177)*(0*g**4 - 4*g**4 + 3*g**4).\nAnswer: -988*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h - 16 = -28. Let b(v) = -v**2 - v + 9. Let x be b(0). Suppose 5*u - 11 = x. Solve h*z + u = 3*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8)\/(-3) - (-4)\/(-6). Let l = -49\/2 - -25. Factor -l*v**n + 0*v + 0.\nAnswer: -v**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -273571 + -4?\nAnswer: -273575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide -4518 by 3.\nAnswer: -1506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -630756.9099949 - -630757.2. Let j = g + -0.29. What is j rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) -11 (b) -4\/7 (c) -88.302\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-56)\/(-10))\/(3\/15). Suppose 0 = 5*w - w + g. Let q(o) be the third derivative of o**4\/24 - o**3\/3 + 2*o**2. Let u(s) = -s + 2. Give w*u(b) - 6*q(b).\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be (38 + 0)*(-9 - -11). Suppose w = -w + x. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.1 + 4.9. Let g(t) = -2*t + 19. Let x be g(8). Let h be (-2)\/(-5) - (-4)\/(-20). Which is the closest to 2\/5? (a) p (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.1+-6826257563\nAnswer: -6826257562.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -122 - 2*i**3 + 122 - 104*i**3.\nAnswer: -106*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 2*r**2 - 6*r + 7. Let l be m(2). Let z = 7 - 5. Let w be 0\/(z*2\/(-4)). Solve -x - 2*n - 2*n + 8 = w, -x + l*n = 13 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(9\/2))**(-2\/77)\/(v**6\/v)**(-6\/7) assuming v is positive.\nAnswer: v**(321\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 7*p - 135. Give z(19).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*x**2 + 7*x**3 - 2*x**3 + 5 - 210*x**4 + 212*x**4 + 2*x to the form d*x**2 + c*x**4 + b*x + v*x**3 + a and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 3*w = 209303 - 209287, 5*w = -4*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h be -4*5\/12*-3. Let z(o) = 2 - 3 - 3*o - 4. Let d(k) = 1 + 0 - 3 + 4*k + 8. What is h*z(n) + 4*d(n)?\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -322, -227, -132?\n\"Answer: 95*n - 417","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**2)**26*g**21*g*g**(-3\/2) assuming g is positive.\nAnswer: g**(145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**4 + 32*i**3 - 23*i**2 - 260*i + 372.\nAnswer: -(i - 31)*(i - 2)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -17*k**2 - 8*k + 9. Let l be 3\/(-5) + 65\/25. Let q(b) be the second derivative of 14*b + 1\/3*b**4 + 0 - b**2 + 1\/3*b**3. What is l*g(t) + 9*q(t)?\nAnswer: 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 2719960 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 12391700 divided by -5\nAnswer: -2478340","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} {"text":"Question: 0.070609 - 18819\nAnswer: -18818.929391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 3358.2 rounded to the nearest 100?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1 - -3) + (-41 + 16 - -9) + 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m - 1005*u + 87 = -1010*u, u = -m - 19 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 496958829 to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = -31*b - 36. Calculate h(1).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 0.3 (b) 0 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8052 is divided by 6587.\nAnswer: 1465","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 31 in -1, -39\/2, 8\/3, -4, -6?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -133331*j + 7. Let y be g(-3). Let z be ((-51)\/6)\/((-1)\/y). What is z rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -171? (a) 0.5 (b) -4 (c) 129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 4141290328 a multiple of 4984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2592 (b) 0.179 (c) -0.0229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - 101011202201020?\nAnswer: -101011202201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**5 - t**3 + 2*t**2 + t. Let n(l) = 7*l**5 + 20*l**4 + 7*l**3 - 14*l**2 + l. Let d(b) = -c(b) + n(b). Factor d(j).\nAnswer: 2*j**2*(j + 2)**2*(3*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5.11 - -0.11. Suppose 13 + 62 = 3*q. Suppose -5*g + q = 2*n, 0*n - 2*n - 25 = -5*g. Which is the nearest to 0? (a) j (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15331.112174 rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*h + h + h)*(-68 + 1 + 25) in the form v*h + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -14*m + 3. Let i(f) = 16 + 136 + 21 - 285 + 518*f. What is 112*h(z) + 3*i(z)?\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = 288*d - 81264. Determine g(283).\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 3762764605 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -3573510.47 rounded to the nearest one thousand?\nAnswer: -3574000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, 3.73, -6, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l be 2\/(-32) + 110\/(-1056). What is the biggest value in 5, l, 1.8, -0.14?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -3*k - 14, -4*g - 14 = -7*k + 6*k. Let a be -4*-3*(-4)\/24 - g. Solve 0 = 2*c + 3*n - 4, 2*n - 1 = -a*c + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 38160 is divided by 63?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.024 in 8, -0.03, 2, -11, -2\/9?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 21870236 divided by -2?\nAnswer: -10935118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -q**2 - 18*q - 22. Let j be n(-16). Suppose 10*a = 12*a - 10. Suppose -a*x + 130 = 8*x. What is the highest common factor of x and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(80) - (sqrt(5) + (sqrt(80)\/sqrt(4))\/sqrt(4)).\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 143 + 560. Let j = h + -702.6. Which is the second biggest value? (a) 11\/24 (b) j (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -266403 + 10?\nAnswer: -266363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*k - 226*m + 227*m - 19, 0 = -5*k - m - 21. Let b(g) = 5*g - 2. Let n(i) = -11*i + 3. Let v(w) = -13*b(w) - 6*n(w). Determine v(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 32 = 4*k, k + 4*k + 31 = -4*d. Let u = k - -5. Suppose u*i - q = 55, -3*q + 32 = i + 1. Is i a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -9 - 26. Let v = 16 + d. List the prime factors of v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -71845, -287329, -646449, -1149199, -1795573, -2585565, -3519169, -4596379?\n\"Answer: i**3 - 71824*i**2 - 19*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (z**2 - z**2 + 2*z**2)*(502 + 2911 + 862 + 1615 + 136).\nAnswer: 12052*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000619970233 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 17199 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 + 8*a + 1. What is the units digit of d(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 13 and 601393.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -758.8263929 - -705.826382. Let l = 96 + -43. Let p = r + l. What is p rounded to 6 dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 58*s**2 - 42*s - 4. Let v(w) = -w**2 - 14*w - 41. Let g be v(-9). List the prime factors of o(g).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 103\/596?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -141.1955416 rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3621 + -170190\/47. Find the common denominator of 71\/6 and n.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 6909, 13838, 20765, 27690, 34613?\nAnswer: 41534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b = 3*d + 9, -2*b = 2*d + 3 + 3. Is 33 a factor of (-54)\/45*(b - 110)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s - 3. Let w be h(3). Let z be (-1 - (-3 - -2)) + w. What is the units digit of 24\/2 + (z - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 p and 1 j when four letters picked without replacement from mppjjjppjjjpjmjppp?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 296 minutes before 2:56 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 85*v + 1. Let u(f) = -343*f - 4. Calculate 9*s(r) + 2*u(r).\nAnswer: 79*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.027 + -5.073. What is y rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 238791.6619 - 797444.66206. Let o = -558691 - c. Let f = o - -38. What is f rounded to four dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o**2 + 22376*o - 134400 = 0. Calculate o.\nAnswer: -5600, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Do 139829 and 139760 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -255036558*a*q**2 + 388566735*q**2 wrt a?\nAnswer: -255036558*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 32 and 3232.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 18 = -5*x, 5*h - 5*x - 18 = -4*x. Let b(k) = -28*k + 0 + 34*k + 5 - k**h + 2*k**3. Is 30 a factor of b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 4*j**2 + 12*j. Let s(r) = -3*r**2 - 8*r. Let x(i) = -2*m(i) - 3*s(i). Let v(w) = -184*w. Give v(x(k)).\nAnswer: -184*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2 - 1 - -1 - 0. Let j be 1*6\/2 - v. Is 13 a factor of j + (-2)\/((-4)\/34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-1)\/(-18)*12\/3. Let b = -25 + 25.2. What is the nearest to 8 in b, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xubtxas. Give prob of sequence stb.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 58*g**3 - 11*g**2 - 5*g + 35. Is m(9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1076300 (base 12) in base 7?\nAnswer: -35464110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 413 a factor of 4872727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Total of 16 and -7810377017024.\nAnswer: -7810377017008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = -4*w - 4598, -114*r + 112*r = -w - 1844. Is r smaller than 927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 5*u + 16403, 65681 = 4*g - 6*u + 9*u. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 172 or -3?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/14040 and -117\/210320.\nAnswer: 73822320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 548.549728 minus 199551.6?\nAnswer: -199003.050272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 30255 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:06 AM and 9:34 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -434 = -27*v + 26*v. Suppose -q + 4*w = -205, -2*q + w + v = -w. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 671 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**2 - 33*z - 171. What is r(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*q, 0 = 3*z + 3*q - 3 - 0. Let p(i) = 3*i - 1. Give p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 13876.46 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 5:21 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*o**3 + 9*o**2 - 2*o.\nAnswer: -o*(o - 1)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.03 times 138\nAnswer: -4.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -4*s + 9. Let m be d(5). Is -11 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -2*a. Let y = -9 - -15. Let l(j) = -j**2 + 6*j + 2. Let t be l(y). Let i(b) = -3*b - t*b + b. Determine g(i(q)).\nAnswer: 8*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -65183 - 1.1.\nAnswer: -65184.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/2 + -6)\/((-126)\/(-70)).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 73 (b) 22 (c) 2\/9 (d) -3\/4 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve z = t - 4*t + 4, 4*z - 5*t + 18 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 AM and 9:49 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r + 894 = 2*x + 6*r, 3*r = 0. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -100*i**3 - 2. Determine a(1).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:04 PM and 1:04 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1240\/50 - 24)\/((-3)\/15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uaua. Give prob of sequence uua.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 429 + -420 + (-65)\/8.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*g - 79*g - 43*g = 15*g + 10902 for g.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 170029057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -41, -25, 23, 121, 287, 539?\n\"Answer: 3*b**3 - 2*b**2 + b - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4455225 is divided by 99003.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -80 = -5*y - r + 13, -r = 3*y - 55. Sort 2, -1, y in increasing order.\nAnswer: -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from {h: 5, t: 11}.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 19 + ((-1563)\/34 - -27)?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(-9) + (-1)\/9*-2?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -18 in 4, -12025, 1\/2, 2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 6*r**3 - 1. Let x be d(1). Let u = -6 - -12. Suppose -3*w = -w + u. Put x, -1, w in decreasing order.\nAnswer: x, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b**5\/2 - 2*b**4 + 4082*b**3 - 54232*b**2 - 282240*b = 0. What is b?\nAnswer: -98, -4, 0, 18, 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < 352\/389991?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 923.\nAnswer: 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*k = 2326 - 2256 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**2 + 6*h - 8. Let s be k(-6). Let z = -5 - s. Find the second derivative of -z*r**2 - 3*r + 4*r + 6*r**2 wrt r.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2 + 7*l - 5. What is d(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0\/(9\/3)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -26, -61, -96, -131, -166?\nAnswer: -201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 201\/59 less than 343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -52*h*v**3 + 321*h - 4*v**4 + 15 wrt v?\nAnswer: -156*h*v**2 - 16*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -44787, -177806, -399491, -709836, -1108835, -1596482, -2172771, -2837696?\n\"Answer: u**3 - 44339*u**2 - 9*u - 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 7918 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*h - 7*k - 22, -h = 213*k - 217*k - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 331313 + 13133?\nAnswer: 1011112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1496, 1505, 1528, 1571, 1640?\nAnswer: 1741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5}. Give prob of sequence ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16 + 26. Let g = q - 5. Which is the second biggest value? (a) g (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -3 + 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -14465125.2 and 0.4?\nAnswer: 14465125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**(2\/7)\/y*y)**(-27) assuming y is positive.\nAnswer: y**(-243\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3992?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 2 l when four letters picked without replacement from uquuyqdddlluqq.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(300)*-1*5 + 2*-1*sqrt(300))\/(-5*sqrt(96)*2).\nAnswer: 7*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 384 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 3.63 + -0.03. Let v = 0 + b. Round v to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37546 a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*b - 4*b - 250 = 0. Does 44 divide (6 + 434)*30\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00109010544 to 7 decimal places.\nAnswer: 0.0010901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 3, b: 4, a: 2, p: 1, g: 2}. What is prob of sequence bsg?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -945*n + 241*n - 460*n - 1236*n.\nAnswer: -2400*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 8 * -2.4.\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 2, l: 6, x: 3, u: 2, m: 3}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -64625 or -64594?\nAnswer: -64594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.314 - 268.314. Let c = l + 268.441. What is c rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 973865, 3895417, 8764671, 15581627, 24346285, 35058645, 47718707?\nAnswer: 62326471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.5 - 2. Let d = -3.8 - -0.8. Let m = 70.58 - 70.18. What is the nearest to 1\/4 in d, m, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 67 (b) 3 (c) -1.99 (d) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2.1, -3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 11, -8394, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p + 2. Let o be i(0). Let w(h) = h**3 + h + 3. Let z be w(0). Solve d + 4*d = -4*g - 2, z*g = -2*d + o for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1\/55364 + 4346041\/1827012. Let h = 10109\/252 + -569\/14. Find the common denominator of h and x.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 29700 by -330.\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4 - 1)\/((-3)\/(-18)). Do 18 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 230787134*l**3*s - 2*l**2*s + 216993*l*s - 27*s wrt l?\nAnswer: 1384722804*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 11 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify s**(-6)*s*s*s*s*s**(-4\/7)*((((s*s*s\/s**(2\/3))\/s)\/s)\/s)\/(s**(-2\/7)\/s) assuming s is positive.\nAnswer: s**(-41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -98*q**2 + 9. Let b(k) = -486*k**2 + 44. Give 2*b(p) - 11*x(p).\nAnswer: 106*p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 98*h + 2301. Determine c(-24).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - (1 + 6 + (10 - 20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -g**3 - 5*g**2 + 4*g + 5. Let z be n(-5). Let y = -4 - z. Solve 2*a = 3*t + 6, 5*a - 3*t = -2*t - y for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -24913 < -24913?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l**4 - 2408*l**3 + 144140*l**2 - 1415272*l + 1273536 = 0. What is l?\nAnswer: 1, 11, 54, 536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 1245*n**4 + 1729*n wrt n.\nAnswer: 14940*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 250 divided by -5.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12375263 or -12375265?\nAnswer: -12375263","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.3 - 0.37. Which is the third biggest value? (a) q (b) 0.2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-90)\/(-4)*223\/2007\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*n - 20 = n. Let p = 4 - n. Suppose 0*v + 4*v - 64 = p. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 5*z = -1057, 1355 = 10*o - 5*o + 5*z. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 762 + -586018.0203?\nAnswer: -585256.0203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*v + 35 = -29*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 388283665 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/5*o + 0 - 2\/5*o**2 - 1\/5*o**3.\nAnswer: -o*(o + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -737341\/1322760 - 10\/11023. Calculate the common denominator of 1 - (-1 + 0) - (-87)\/(-1160) and w.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-5)*a**(-2\/5))**33\/(a**6\/(a**0*a))**(1\/26) assuming a is positive.\nAnswer: a**(-23191\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -8112233 divided by -569?\nAnswer: 14257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 5 = 7*i. Suppose -135*p + 137*p = -4*h, 2*h = -2*p + 6. Sort 0, i, -9, p in decreasing order.\nAnswer: p, 0, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence noi when three letters picked without replacement from {n: 4, o: 2, i: 4}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 3*w**5 + 1482*w**4\/5 + 10488*w**3\/5 - 14442*w**2\/5 + 2457*w\/5 = 0. What is w?\nAnswer: -91, -9, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (40\/12*-3)\/(-155)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tgv when three letters picked without replacement from {t: 1, z: 1, v: 1, o: 2, g: 1, r: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-3*sqrt(132)*-1 - (sqrt(132) - ((sqrt(132) + sqrt(132)*-1)*4 - sqrt(132) - sqrt(132))))\/(-6*sqrt(24)\/sqrt(2) - (sqrt(192) - -1*sqrt(192))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 145287 or 1888719\/13?\nAnswer: 1888719\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 69210929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = t**3 - 5*t**2 - 8*t - 8. Let c be p(7). Suppose 2*z - c = 2. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 8849?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-39)\/52*12\/(-15)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 52.016*0.3\nAnswer: 15.6048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) 1.89 (d) -3 (e) 0.2 (f) -0.9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 9*r + 1 - 13 - 17. Let n = -487 + 496. Does 13 divide y(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 + 103*w - 14320. Determine s(-182).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6720271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide -43 by -1369.\nAnswer: 43\/1369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -2*p + 13*p - 77*p**2 - 27*p - 12*p. Let o(b) = 14*b**2 + 5*b. Let z(u) = -5*n(u) - 28*o(u). Let r(j) = 13*j. What is r(z(i))?\nAnswer: -91*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(-24)*v)\/(v**(-10\/17)\/v) assuming v is positive.\nAnswer: v**(-347\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (103*t**2 - t**4 - 1 - t**4 - 99*t**2)*(4 + 0 - 2).\nAnswer: -4*t**4 + 8*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/404 and (-48)\/(-216) + (-923)\/144?\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 5*y**4 + 3025975*y**3 + 457851954545*y**2 + 7782493764465*y - 17396419554990 = 0. Calculate y.\nAnswer: -302589, -19, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1190 - -729. Let p = 1743 + g. What are the prime factors of p?\nAnswer: 2, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2889618866 to the power of 1\/4, to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-5) - (-82)\/5. Suppose g*k + 0 + 0 = 0. Solve -6*n + 5*n - 5 = k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 401 minutes before 10:53 PM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-7 - -1)*(-2)\/3. Suppose g = -3*v + 4*t, v = 3*t - 4*t - 6. Let y be v\/7 + 12\/(-42). What is the third biggest value in y, -3, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 147 times -5\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -56 + (116 - 9) + (-16 - -3)\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(171)*1 + (sqrt(171) - sqrt(171)*-2)*-1)\/(sqrt(360)\/sqrt(90)) + -4.\nAnswer: -3*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*r - 150073686 + 150073686.\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 72\/56*14\/(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 472*n**2 + 5*n + 9 - 246*n**2 - 224*n**2 - 2*n**3 in the form h*n + c + d*n**2 + f*n**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 36.1 + -36. Let s be 2\/(-6) - 30\/(-9). Which is bigger: s or b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 47676 + 0.0705.\nAnswer: 47676.0705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 133\/6 and 10*(4 + (-34)\/8) - -11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.12 + 0.12. Let j = n + -5. Let z = -2\/5927 - -5941\/41489. Which is the closest to -3? (a) 2\/3 (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*t + 0 + 0 + (1 - 1 + 2*t)*(-1 - 1 + 1) + 1 - 1 + t + 5*t - 2*t + 0*t to the form r + d*t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -85 + 54713?\nAnswer: 54628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -19*s**3*t**2 + 315*s**3*t + 153*s**2*t**2 - 341*s**2 + 296*s*t**2 - s*t - 9*t wrt t?\nAnswer: -38*s**3 + 306*s**2 + 592*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(2\/37)*g))\/(g\/(g*g**(-3\/5))*g)*g**(-12)*(((g\/g**(-14))\/g)\/g)\/g assuming g is positive.\nAnswer: g**(-306\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Determine k so that k**2 + 143809788*k + 5170313781151236 = 0.\nAnswer: -71904894","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 1 - 9*q + 2 - 4*q.\nAnswer: -13*q + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 4.1949009ns in hours?\nAnswer: 0.00000000000116525025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 23957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1e0 - -1?\nAnswer: 1e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -426300 (base 13) to base 2\nAnswer: -101111011111000001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*h**3 + 2140*h**2 + 3129*h wrt h?\nAnswer: 12*h + 4280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -798 - -797.7. Which is the fifth smallest value? (a) -0.2 (b) 5 (c) z (d) 6\/5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*c**3 - 7*c**2 + 4*c**2 - 4*c**2 - 10 + 22 - c**4 to h + k*c + m*c**2 + o*c**3 + j*c**4 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*d**3 + 153769155*d**2.\nAnswer: -3*d**2*(d - 51256385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 256*s - 2256 = 209*s. Suppose 0 = 5*i - 5*b - 2525, 4*i - 3*b = 1288 + 731. What is the highest common divisor of i and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 45 and 55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) be the third derivative of -w**4\/8 + w**3\/2 - 29*w**2 + 2. What is t(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/5, 0.3, -2\/9, 9.55, 4 in descending order.\nAnswer: 9.55, 4, 0.3, -1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 213953756 divided by -11779\nAnswer: -18164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/15 of a century in months?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - (-16 + -6 + 1 + -6 + 13 + 2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -5*a**3. Let b be (4\/6)\/(8\/(-12)). Let x be l(b). What is the tens digit of 872\/10 - (x + (-144)\/30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = 2*y - a, -5*y + 4*a = -3*y - 30. Suppose 5*j - y = 0, -8*i + 4*i - 2*j + 202 = 0. Is 44 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -777*n + 13903 + 8630 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0081 minus 398033865?\nAnswer: -398033865.0081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 657 and 3139?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*w - 2*w + w)*(-4 + 0 + 2)*(-2 + 0 + 0).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1\/7, -16087, 16, -2\/533?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1 + 144?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round -93.14553 to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.2 (b) 821 (c) 607889\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes before 2:02 PM?\nAnswer: 3:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 780, 779, 778?\nAnswer: 777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 368287942 to the nearest integer?\nAnswer: 19191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*j = -13*j - 90. Let d(u) = 246*u + 22*u - 78*u - 34 + 305*u. Is d(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 196897578?\nAnswer: 2, 3, 32816263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by 246705911.\nAnswer: 3\/246705911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 37, 67, 97, 127?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of -p**3\/3 - 4*p**2 - 8*p - 26. Let x be y(-6). Suppose 5*c + 235 = 5*f, -3*f - x*c + 140 = -6*c. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -52675, -105351, -158029, -210709?\n\"Answer: -g**2 - 52673*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 4 (b) 4\/3 (c) 12 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = 8*u - 94. Let j(h) = -5761*h**3 - 2*h**2 - 9*h + 12. Let g be j(u). What is g rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = 2*m + 22405 - 23697, 4*m + 1334 = 2*o. Suppose 0 = -3*d - 5*i + 1946, -2*i = -3*d + i + 1962. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*f - 2*f - 2*z - 2460 = 0, -984 = -2*f + z. What is the smallest common multiple of f and 22?\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 19\/22 and 110\/39*-21*(-6)\/336.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8, 53, 122, 209, 308?\nAnswer: 413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-7 - 444\/(-36))*(84\/(-8))\/7\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28817717*-0.5.\nAnswer: -14408858.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 15137.311 rounded to the nearest 10?\nAnswer: 15140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2184 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor 20*c**4 - 24*c**3 - 16*c**2 + 24*c - 4.\nAnswer: 4*(c - 1)**2*(c + 1)*(5*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let l = 8.65 - 5.6. Let k = -3.05000197 + l. What is k rounded to 7 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -x - 10. Let g be s(-7). Put g, 0, -4 in decreasing order.\nAnswer: 0, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = 2*u**3 + 13*u**2 - 6*u + 11. Give f(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.3 and -91042393?\nAnswer: 27312717.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/y**(-1)*y)**(1\/30))**32)**(-1\/3) assuming y is positive.\nAnswer: y**(-16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 8 and 366.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -790*m + 1247 - 5502 = 1704 + 361 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 7\/4 of a micrometer?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 269301413 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-2)\/(-3)*(-9)\/24. Let y = -0.874 - -0.9141. Let z = y + -3.0401. Is z >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/3? (a) -1\/4 (b) 1 (c) -1\/3 (d) -2 (e) -0.0041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1315530 (base 7) to base 9\nAnswer: -282503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) be the first derivative of -2*v**3\/3 + 4*v + 4. Let d(k) be the first derivative of i(k). Let a(l) = -l. Determine a(d(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24 - ((18 - 51) + 30).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -22.3 (b) 0.2 (c) -57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 7*y. Let s(g) be the first derivative of 0*g**4 + 0*g**3 - 3 + g**2 - 1\/60*g**5 + 0*g. Let t(n) be the second derivative of s(n). What is q(t(o))?\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - 5\/(5\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**(-2\/9))\/r**(-2\/5)*(r\/(r\/r**(1\/9)*r))\/(r*(r*r*r*r*r**(1\/5))\/r))**(-10))**2 assuming r is positive.\nAnswer: r**(704\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 129270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = 49*t**2 + 24*t - 18. Let s(o) = 45*o**2 + 22*o - 17. Let u(c) = -11*n(c) + 12*s(c). Determine u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4*o**3 - o**2 + 149*o wrt o?\nAnswer: 24*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/247588 and -57\/784652?\nAnswer: 259719812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 4. Let g(v) = 0*v + 4*v - d*v. Let z(j) = -531*j + 250*j + 268*j. Give z(g(r)).\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10527956?\nAnswer: 2, 2631989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 739.\nAnswer: 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -31*i + 36*i**2 - 28 - 17*i**2 - 20*i**2. Let o be n(-30). Solve 0 = -5*k + o - 17 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11626*k**3 - 11625*k**3 + 64 - 2*k - 7 + 11*k**2 to s + t*k**2 + a*k + z*k**3 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1273.\nAnswer: 19, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f + f + 4120. What is f rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 32 by -3983.\nAnswer: -32\/3983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78594 is divided by 591?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 608579, 1217297, 1826015, 2434733, 3043451?\n\"Answer: 608718*t - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = -231681\/23 - -10073. Let h = 188.97 + -187. Let s = h - -0.03. What is the closest to z in -0.3, s, -2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 26874.045 seconds to days.\nAnswer: 0.3110421875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-12)\/(-8))\/((-2)\/(-4)). Suppose -o - x = -3*o - 7, -p*x = 9. Let l = -3 - o. Calculate the remainder when 5 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*r - 5*y = 16*r - 324, -2*r = -2*y - 162. Let p(t) = 261*t**2. Let a(u) = 13*u**2. What is r*a(d) - 4*p(d)?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:39 PM and 10:39 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*x - 11 + 16 + 12*x - 5.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 + 18. Let r be ((1 - 2) + 1)\/t. Suppose -3*f + 46 = k, r*f + 19 = 2*f + 3*k. Calculate the remainder when 32 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 4*m = 2252, -2*l - 5*m + 192 + 689 = 0. Calculate the greatest common factor of l and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5279 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -2*((sqrt(121)*-2*-4 + 5*sqrt(121)*-1 + sqrt(121))\/(-6*(sqrt(121)*-1)\/sqrt(11)))**2.\nAnswer: -61\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h**1\/h))\/h**0*(h*h*h\/(h*h**(7\/6)*h*h))\/h*h*h\/h**(-7\/5) assuming h is positive.\nAnswer: h**(67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + sqrt(125) - (-2*(sqrt(5) + (sqrt(20) - sqrt(5))))**2.\nAnswer: -78 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**3 - 8*m**2 - 3*m + 5. Let u be 27\/6*136\/6. Let y be 20\/70 - u\/14. Find the common denominator of -50 and b(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 - 47\/5. Let j(d) = -d**3 - d**2 - 3*d - 3. Let m be j(-2). What is the nearest to v in -5, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = 579517*a**2. Let x(u) = -8*u. What is r(x(b))?\nAnswer: 37089088*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 153 divide 144126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from llsvvlbsxls. Give prob of sequence vvlx.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1946, 3861, 5770, 7679, 9594?\n\"Answer: w**3 - 9*w**2 + 1935*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**32*j*j**18)\/(j*j\/(j\/(j\/(j**(-30)\/j)*j))*j*j**22\/j) assuming j is positive.\nAnswer: j**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -742503 (base 11) to base 9.\nAnswer: -2212233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-16)\/40)\/((-2)\/(-10))*670\/67.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*l = -8*l + 28. What is the tens digit of 16*l*1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = h**3 + 5*h**2 - 742*h - 5094. Let c be r(-7). Let i be (-93)\/(-54) - 4\/18. Determine m so that -5*m**c - 10*m + i*m**4 + 5\/2*m**3 - 4 = 0.\nAnswer: -2, -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**1)**(-34))**(-30)*((d\/(((d\/d**(-2\/3))\/d)\/d))\/d**(2\/11))\/(((d*d**(-4)\/d)\/d)\/((d*d**4)\/d)) assuming d is positive.\nAnswer: d**(33995\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 79\/2 of a gram?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 2*b - 32. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.997, -2\/9, -2\/19 in increasing order.\nAnswer: -0.997, -2\/9, -2\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1104 is divided by (-425)\/(-175) - 15\/35 - -106?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6682 - 3262. Suppose 26*a - 36*a = -c. 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: Collect the terms in 4*x - 36*x**3 + 7366961 - 7366961 - 4*x.\nAnswer: -36*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 1, -38, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 186.17 - 188. What is t rounded to 1 decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -a**3 - a**2 - 5*a + 11. What are the prime factors of y(-5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2347 or 63?\nAnswer: -2347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c = -52*c + 1160. Solve -5*z + 10*z = c, 2*z - 14 = -2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 6 = 4*f + g, -2*g = 2. Suppose -3*u + j + 6 = 0, 0 = 5*u - 3*u + 2*j - 12. What is the least common multiple of f and u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 59*z**3 - 39*z**2 - 17*z + 111. Let u be o(-8). What is u rounded to the nearest one hundred?\nAnswer: -32500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -27\/12454 and (-111)\/(-2)*(4925\/(-225) - -22).\nAnswer: 37362","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-58)\/(-87) - (-8 + 160\/24)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 336996?\nAnswer: 2, 3, 11, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -c**2 - 31*c - 31. Give k(-30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by 5832.\nAnswer: 1\/486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 16620 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 257834068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.997735 * -0.213\nAnswer: 0.212517555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1883 - -2143. Calculate the lowest common multiple of q and 8.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -180, 1, 9, -0.1, -5.\nAnswer: -180, -5, -0.1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*-2*sqrt(1573)*1)**2.\nAnswer: 157300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = i - 1. Let z be l(1). Suppose z = 5*d - d. Suppose -4*o - 5*p + 14 = 2, d = -4*o - 3*p + 12. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 88\/(-99) - -11?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -20 times 543120?\nAnswer: -10862400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -2359*z**2. Let b(n) = 120*n**2. Give b(p(v)).\nAnswer: 667785720*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -16760000 rounded to the nearest 1000000?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 52*s**3 - 5378*s + 5377*s + 0 - 3 to the form x*s**2 + q + d*s + g*s**3 and give g.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -106*p + 107*p = -5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -76 - -72. Let g(j) = 2*j + 3. Calculate g(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*d**2 + 8*d**2 + 173*d**4 - 54 - 108 + 56 wrt d?\nAnswer: 692*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -614935.75 and 0.12.\nAnswer: -73792.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 84\/56 - 1237\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 10 = -4*x, -2*p + 21 + 109 = 16*x. Suppose w = 4*w + 12, -3*w + 39 = 3*b. Let n = 1 + b. Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 90 - (-82 + 207) - (-139 - 3)\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 6121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d + 1. Suppose -7*o + 4*o = 0. Suppose o = -8*a - 35 - 13. Let s(k) = 5*k - 5. Calculate a*j(n) - s(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the first derivative of 1511*z**2\/2 + 2187*z + 2015. Differentiate m(n) with respect to n.\nAnswer: 1511","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18034 is divided by 3533.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = -3*h**3 + h**2 + h - 1. Let t be (-4)\/(-3) + (-2)\/6. Let o be i(t). What is the units digit of -2*o\/6*9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 22 or -0.453?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:00 AM and 4:09 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -500 divided by -25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-1)*(h*(h\/h**(-3\/4)*h)\/h)\/h)**(-1) assuming h is positive.\nAnswer: h**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n = 32 + -50. Let b be (-18)\/n - (-3 + 1). Solve -5*v = -5*d + 20, -3*d + v + 3 = -b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-8)\/(-5))\/(4\/10). Let c(s) = -s**3 + 5*s**2 - 5*s - 3. Let u be c(a). Let v = u + 10. Calculate the remainder when 5 is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -1956192, -3912686, -5869180?\n\"Answer: -1956494*t + 302","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -63*i + 15346 - 12889 for i.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40086847, 40086848, 40086849?\nAnswer: 40086850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y**3 - 11*y**2 - 1326*y + 18940. Calculate o(15).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -9060*g - 144960. Calculate f(-16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in 28, 5, -18, -41, -64, -87?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes after 11:38 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**3 - b**2 - 4*b + 3. Suppose y = 5 - 2. What is the least common multiple of 8 and f(y)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1838809.6 to the nearest one thousand.\nAnswer: 1839000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = 124 + -63. Let c = -43 + b. Is 9 a factor of 1032\/27 + (-4)\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 291803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + 5*b + 9. Let s(y) = -y**2 - 3*y + 3. Let p(c) = -2*c**2 - 5*c + 5. Let u be ((-1)\/(2\/(-15)))\/(9\/6). Give b*p(r) + u*s(r).\nAnswer: r**2","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: Which is the second smallest value? (a) 0.2 (b) 0.02 (c) -0.3 (d) 2\/1135 (e) 2 (f) 98 (g) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11738973 = -393*j + 66*j. What is the hundreds digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.31 plus 0.1665382210813?\nAnswer: -0.1434617789187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p = 5*l, -2*p + 36 = -3*l + 7*l. Suppose 5*m + 205 = p*m. Sort 3, -5, m, -3 in descending order.\nAnswer: m, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 167*s - 159*s - 199*s - 2*s**2 + 5*s**2 + 6*s**2 - 9*s**2 + (-2*s + s + 0*s)*(s - s - 2*s).\nAnswer: 2*s**2 - 191*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -689702*b + 8071702 wrt b?\nAnswer: -689702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -21*s + 4120435 - 4118755 for s.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k + 9. Let q(m) = -m**3 + 12*m**2 - 11*m - 7. Let h be q(11). Let o be s(h). Suppose -o*b - 934 = -4*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 2*k + 12. Let x be (-26)\/4 - (-9)\/18. Let r be y(x). Suppose -12 = -4*b - r. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 2*c. Let u(r) = -87464773*r. Give l(u(o)).\nAnswer: -174929546*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3660*h**2*y**3 - h**2*y**2 - 2*h**2*y - h*y + h - 7*y**6 - 2*y**3 - 227*y**2 wrt y?\nAnswer: 21960*h**2 - 840*y**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j**(-7)\/j))\/(j*j**(-5\/4)))\/((j*j**(1\/4)\/j*j)\/j*(j*j**5)\/j)*j*(j*j**(2\/15)\/j*j)\/j*j\/j**4*j**2*(j**(3\/7)\/j)\/j assuming j is positive.\nAnswer: j**(269\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 6*z - 3*z. Let d be 6\/(-18) + z\/12. Is d smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 104 and 14360294?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 0.747206 litres?\nAnswer: 747.206","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.2 + 0. Let z = 214 - 195.7. Let k = z - 18. Which is the nearest to p? (a) -3 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -49601*p**3*v - 3*p**2*v**3 - 331*p**2*v + p*v**3 - 2*p*v - 76464*v**3 + v**2 wrt p?\nAnswer: -297606*p*v - 6*v**3 - 662*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 g, and 1 s when three letters picked without replacement from vsgssxqsxxmvqgms?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4.3499 rounded to two decimal places?\nAnswer: 4.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 504*x + 57 = 485*x. Let s(n) = 4*n**2 + 2*n + 1. Calculate s(x).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -102*f + 11130. Determine n(108).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 - 3\/(-6))*-6. Suppose -b = g*b - 260. Suppose 0*k + 4*k - b = -5*h, 0 = -h - 5*k + 13. What is the remainder when h is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -502*m - 14147. Calculate h(-28).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * 1.275142.\nAnswer: 6.37571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = -105 - -107.2. What is d rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -36*h**2. Let f(v) = 5*v**2. What is f(b(a))?\nAnswer: 6480*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -2*d - 1. Let c be w(-1). Let u = c + 18. What are the prime factors of u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 2*h**2 - 11*h + 12. Let i be r(5). Suppose 5 = i*d - 9*d - 5*k, 0 = -3*d - k + 12. Solve 0 = d*m - 9 + 4 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 29\/(-4)*(-32)\/(-8). Let l = -1068 + 1065. Sort l, x, 1 in descending order.\nAnswer: 1, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2624 at least as big as -847458\/323?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 3*i**3 + 2*i - 1. Let j be g(1). Suppose -n + 4*z - 24 = 3*n, 0 = -5*n + z - 10. Suppose 2*m - 1 = -4*h + 5*h, 2*m + 1 = -h. Sort -4, n, j, m.\nAnswer: -4, n, m, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0\/(-2)*(-2)\/2. Let y be 1 + (p - (-1 + 1)). Suppose 0 = -x - y - 3, -5*x - 4 = -4*q. Which is the third smallest value? (a) 0.3 (b) q (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2559 is divided by 80.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1161?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3395252?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 303798837?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 28176?\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -5 - ((8 - 14) + 7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -66045\/42944 - 6\/671. Suppose 2*q - 4*q = 0, 0 = 3*p - 5*q + 6039. Let c = p - -16191\/8. Find the common denominator of b and c.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2608210*n**3 - 1304143*n**3 - 1304128*n**3.\nAnswer: -61*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -66, -423.\nAnswer: -423, -66, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 11956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: (2 - 6\/9) + (4 - (-5068)\/(-966))\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 104757 is divided by 474.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**2 + 6*g + 5. Let f be o(-5). Let p(i) = -i**2 + 4*i + 2. Let k be p(5). Put f, 3, k in descending order.\nAnswer: 3, f, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 4*x, 25 = -4*o + 5*o - 3*x. Let b be (o\/(-42))\/(-2 - 0). Let v = b + -769\/21. Find the common denominator of v and -51\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -124143 + 10?\nAnswer: -124133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 25*t**3 - 8*t**3 + 1 - t**2 + t + 0*t**3. Suppose 3*d + p + 7 = 0, 1252 - 1270 = -2*d + 5*p. Determine k(d).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 47 + -32. Suppose -h + 4*w - v = -0*h, -2*h = -2*w. What is h rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -37164100516 - -37164100149.00000358. Let y = -12027 + 12394. Let f = p + y. Round f to seven dps.\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*f + 276 = -17*f + n, -2 = -2*n. Let p = f - -64. Solve -11*o = -p*o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 2*v**3 + 171*v**2 + 1166*v + 184. What is b(-78)?\nAnswer: 496","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -134*r**3 - 24*r**3 - 59*r**3.\nAnswer: -217*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-2))\/(g**(3\/4)\/g))\/(g**1)**(-36) assuming g is positive.\nAnswer: g**(157\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k - 55 = 5*u, -2*u + 3*k = u + 9. Is 4 a factor of (102\/(-12))\/(4\/u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2141.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-q + q - 3*q)*(3*q**2 - 3*q**2 + q**2)*(-6 + 0 + 7)*(-5 + 6 - 2)*(q - 2*q + 3*q) in the form t + x*q + y*q**2 + p*q**3 + w*q**4 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 2 = k, 2*m - 2 = -5*k + 4*k. Solve k = 5*p - 4*c + 16, -c = -3*p + 2 - 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -25.74 - -25.7398731. Round p to 5 dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11881942 a multiple of 263?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-246)\/(-42) - 5)\/(408\/66 - 6). Factor -g*o**2 + 3\/7*o**3 - 39\/7 - 75\/7*o.\nAnswer: 3*(o - 13)*(o + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in a**2 - 5*a**2 + 4*a**2 + 4606423*a**3 - 4606424*a**3 - 91.\nAnswer: -a**3 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 981 is divided by 952.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.1008375 + 21.1014975. Let w = v - 21. What is w rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 3.4, 1, 12, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 2\/11 (b) -3\/8 (c) -374498\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = z + 3, -2*z + 13 = -5*o. Let g(b) = -b - 1. Let l be g(o). Suppose l = -d + 8. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32747473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 3*g**2 + g - 1. Let x be c(1). Suppose 0 = l - 4*y - 11, -y = -l - x*l - 16. Let k(i) = -9*i + 2. What are the prime factors of k(l)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 80826.41ms in microseconds?\nAnswer: 80826410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -1. Let f(z) = -8*z - 4. Let p(b) = 2*b + 1. Let n(u) = -2*f(u) - 9*p(u). Let q(m) = n(m) - 4*o(m). Let v(r) = -12*r + 17. What is 34*q(s) - 6*v(s)?\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 50680 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -232557, -465200, -697843?\nAnswer: -930486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hyaws. Give prob of picking 1 w and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -81*l**2 - 7*l - 44 + 89 + 14 + 2*l.\nAnswer: -81*l**2 - 5*l + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of -i**2 - 12 + 15*i**2 - 12*i**6 + 8*i**6. What is the second derivative of a(j) wrt j?\nAnswer: -480*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 36964420.\nAnswer: 2, 5, 1848221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0 - 0. Suppose -3*i = -2*n + 2195, 0 = -m*i + 5*i - 5. What is the common denominator of 6\/(-10) - n\/(-490) and 47\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6978 divided by 3.\nAnswer: -2326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2*d = -12. Let i be ((-3)\/2)\/((-2)\/d). What is the highest common factor of 63 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(208) + 4 + sqrt(325) + (1 + sqrt(325) - sqrt(325)) - (sqrt(104) - -5*sqrt(104)*1)\/sqrt(8).\nAnswer: 5 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*l**2\/2 - 30*l + 234.\nAnswer: -3*(l - 6)*(l + 26)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l - 1. Let q(n) = 62*n**2 + 9*n - 9. What is 2*q(x) - 18*v(x)?\nAnswer: 124*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-28)\/(-35)*42*(-60)\/(-288)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -2809, -2819, -2821, -2803, -2753, -2659, -2509?\n\"Answer: 2*f**3 - 8*f**2 - 2803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put -0.0225, -1\/11, -68, -3\/5 in descending order.\nAnswer: -0.0225, -1\/11, -3\/5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -502*a - 8. Let f be n(7). Let g = 24614\/7 + f. Calculate the common denominator of 6\/(-39) - (-460)\/(-130) and g.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 3*y**2 + 316*y - 21. Let q(v) = -5*v**2 - 503*v + 32. Let w(l) = -8*c(l) - 5*q(l). Determine w(13).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1028*-3.25\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) be the third derivative of -s**8\/168 + s**6\/40 + 95*s**4\/24 - 24*s**2 - 2*s. What is the second derivative of z(v) wrt v?\nAnswer: -40*v**3 + 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 4*u = -66. Let j = -17 - u. Factor j*z**5 + 105*z - 14*z**3 - 45 - 16*z**3 - 15*z**2 + 15*z**4 - 35*z**2.\nAnswer: 5*(z - 1)**3*(z + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the first derivative of -d**5\/5 + 3*d**4\/8 - d**3\/6 - 20. Factor o(n).\nAnswer: -n**2*(n - 1)*(2*n - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 64*i**3 - 12*i - 12. Let s(n) = -n**3 + n + 1. Calculate -r(z) - 12*s(z).\nAnswer: -52*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -3\/926?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 5*b - 41 = 0, -6*c - 44 = 5*b + 5 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 230886, 462378, 693872, 925368, 1156866?\nAnswer: 1388366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1\/(-3))\/((-44)\/(-132)). Let k be 2\/(-12) - 1\/(-6). What is the nearest to g in -6, 3\/5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 + -28 + -20 + 30.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 1196 divide 352588092?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w be 82\/4 - 5\/10. Suppose -5*t - 5*a = -w, -t - 1 + 7 = 2*a. Let x(f) = 36*f - 214. Let r be x(6). Solve 4*d = 3*k - 7, -t*k = -r*d - k - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the first derivative of -3*r**2 + 41*r - 17. Is 13 a factor of b(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -0*a + 52. Calculate the highest common factor of 104 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -34, -0.4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8536 = 5*f - 2*y, 4*f + 0*y - 6833 = 3*y. Let r = f + -1021. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 7.844225 years?\nAnswer: 0.7844225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (3 - 7) + 6 + 2 - 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be -4 + (162\/4)\/9. Let b(m) be the first derivative of f*m**2 + 0*m + 1\/6*m**6 - 1\/2*m**4 + 0*m**5 + 0*m**3 + 2. Suppose b(t) = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 21*p**2 + 15*p + 15. Let b be a(-1). Solve -3*s - 18 = 3*h, 0*s + 5*h + b = -2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 less than -33026898.412985?\nAnswer: -33026901.412985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 417551 is divided by 139165?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 140 and 5382440?\nAnswer: 5382440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = h**3 - 34*h**2 + 164*h - 62. Determine p(14).\nAnswer: -1686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 264*b = 267*b + z - 1, -5*b + 5*z = -35 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 6028 - 3859. Calculate the remainder when v is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 3*z - 10. Let k(p) = 6*p - 3*p - 7*p**2 + 0*p**2 + 6*p**z + 3. Give k(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nttitufuiu. What is prob of sequence uutu?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 103320222203 (base 4) in base 14?\nAnswer: 999a15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 69 + -29 + 6 + -55\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 2*p - 25 = 0, -p + 3*p - 130 = -4*m. What is the remainder when m is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12244, 24489, 36734, 48979?\nAnswer: 61224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43065 = 4*q + 43069. Which is greater: 2\/66031 or q?\nAnswer: 2\/66031","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -5 (b) 0.3 (c) -3 (d) 469 (e) 5 (f) 0.28\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -11.89, 0.05, -0.3, 18?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -18, -5, 5 in decreasing order.\nAnswer: 5, -5, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = -30 + 30. Suppose -d - 7*q + 9*q + 13 = y, -5*q - 28 = -d. Solve 0 = -w + d + 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b\/(b**(-9\/2)\/b))\/(b\/b**(3\/8)*b)*(b\/b**(-2))**(33\/4) assuming b is positive.\nAnswer: b**(245\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kppppapipppap. Give prob of picking 3 p.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 63 - 12. Suppose -2*x = 3*g - 21, 21*g - 17*g = 2*x + 14. Solve -6*v - x*t + q = -4*v, 3*v + 12 = 3*t for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/23776 and 58\/6687.\nAnswer: 213984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 0.64, -120.2, -2\/3, -7 in decreasing order.\nAnswer: 0.64, -2\/3, -7, -120.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2871 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -765 = -21*u + 4*u. Calculate the remainder when 222 is divided by u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 2*a**3 - 389*a**2 + 435*a + 27760. What is o(193)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*a + 736 - 376 - 389.\nAnswer: -2*a - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**2 + 10*t - 7. Let h be a(7). Let m = h - 897\/8. What is the nearest to -0.1 in 2\/27, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccjc when four letters picked without replacement from jcjjjccjjjjccjcjjj.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1911 - -11575\/6. What is the common denominator of 46 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s, 1 m, and 1 x when four letters picked without replacement from xxxxuxmxxuxxxssx?\nAnswer: 11\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*u**2\/4 - 9*u\/4 - 3\/2.\nAnswer: -3*(u + 1)*(u + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 2 = -2*l + 8, 0 = 4*l + g - 21. Let b = 112 - l. Calculate the remainder when b is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 18882435?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-16)\/6*6\/(-4). Suppose -2*a - 4*n + 182 = -86, 0 = a + c*n - 140. Let v = 637\/5 - a. Is v bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-14)\/(-6))\/(2\/(-24)). Let z be 86\/8 - 7\/p. Let c be 4\/(-22) - (-68)\/z. Solve c = 3*r - 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -88\/1783?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6052 divided by -5573.\nAnswer: 6052\/5573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-71)\/(-595) + ((-133)\/(-7) - (-11736)\/(-612))\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = -2 - 3. Suppose -f + m = -0. Solve -w = f + 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4\/475 - 463\/1425. What is the nearest to p in 5, 0.05, -2?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 681, 1360, 2035, 2706, 3373, 4036?\nAnswer: 4695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 257, 0, -671 in descending order.\nAnswer: 257, 0, -671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 118155, 118133, 118115, 118101, 118091, 118085?\n\"Answer: 2*n**2 - 28*n + 118181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 3*f. Let b(w) = 1023*w. What is b(i(a))?\nAnswer: 3069*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ododooo. Give prob of picking 3 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (-2*(sqrt(102)*-1 - sqrt(102)))\/(sqrt(6) - sqrt(216)*1).\nAnswer: -4*sqrt(17)\/5 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - -5. Suppose 0 = 3*z + 9, -3*z = y*f + 21 - 50. Solve 0 = -5*o - 2*j + f, -4*j = -2*o - 5*j + 8 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = u**2 - u + 1. Let n = 555 + -554. Let v(d) = d**4 - 3*d**3 - 6*d**2 + 10*d - 6. Let p(h) = n*v(h) + 6*c(h). Solve p(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ooof. What is prob of picking 3 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.123 and 7.\nAnswer: -0.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*p**5 - p**4 - 576*p**3 + 8620*p wrt p?\nAnswer: -60*p**3 - 12*p**2 - 3456*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-14)\/4)\/(1\/8). Let i(q) = -60*q - 569. Suppose 0 = 10*u - 34*u - 216. Let m be i(u). Which is greater: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 36404928 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1*(-1 + 3)*2. Let o = 15 + -8. Let t = m + o. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -110098*o**4 - 1211082*o**3 + 2752406*o**2 - 1431174*o - 52 = 0. Calculate o.\nAnswer: -13, -2\/55049, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 42, 0, -26216, -12.\nAnswer: -26216, -12, 0, 2, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 160*k - 40 = 155*k for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = s**3 + 4*s**2 - 5*s + 5. Let r be z(-5). Which is the nearest to 0.1? (a) -7 (b) -2 (c) 2\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pppeebbppppeebb. Give prob of picking 1 e, 1 b, and 1 p.\nAnswer: 16\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1075845 is divided by 358611?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -2444\/1391367?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 203\/341550 and -77\/3240.\nAnswer: 4098600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1066 divided by -82.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-24)\/32)\/((-1)\/(-2)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/((-7)\/(-3)) - (2456\/(-28) + 6\/(-21))?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2640 = -44*n + 91*n + 85*n for n.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 44800 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001044462 to 6 dps.\nAnswer: 0.001044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) 0 (c) -94 (d) -52 (e) -583\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = d**2 - 19*d + 71. Calculate t(16).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = -u**3 + 22*u**2 + 9*u - 80. Is q(17) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 10921 and 11084?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -36 in -696, -0.1, -16, -0.3?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 4*x + 1. Let y be a(-1). Let q be 3\/(-5) + (-8)\/20. Which is bigger: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9130.718315 to one decimal place.\nAnswer: -9130.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -391 + 689. Calculate the remainder when u is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 306\/(-48)*2\/3 and 43.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 10*w**3 + 2*w**2 - 18*w + 7. Let r be j(3). Let f = 243 - r. Let -2\/7*k**f + 8\/7 - 6\/7*k = 0. What is k?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -3*u, -245 = -4*q - 0*q + u. Suppose -q*s = -48*s. Factor s*v + 6\/5*v**4 + 0*v**3 - 3\/5*v**5 + 0 + 0*v**2.\nAnswer: -3*v**4*(v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -9 and -24903235?\nAnswer: 224129115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: c191 (base 14) to base 16\nAnswer: 81e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 35780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -0.06685869 to 4 dps.\nAnswer: -0.0669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 14 (base 13) to base 7\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lsyalybywww. Give prob of picking 1 l and 1 a.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2\/(-4))\/(2\/(-4)). Let s = -1 + t. Solve 0 = -s*g + 5*g - 2*h + 16, 0 = 4*g - 4*h + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**2 - 4*v + 7. Let p be f(-5). Suppose 73*m - 72*m - 4 = 0. What is the derivative of 4*r**4 + 0*r**m + 4 - p wrt r?\nAnswer: 16*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, 52, 154, 1\/6, -7.8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -39 + 43. Let m(i) = -i**2 + 6*i - 1. Give m(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 24 (base 8) in base 9?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 1784*z. Let k(a) = 294*a**2. Calculate o(k(r)).\nAnswer: 524496*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = l**3 + 2*l**3 - 2 + 2*l**2 - 7*l**2. Let s(y) be the second derivative of y**5\/20 - y**4\/12 + 2*y. What is f(j) - 5*s(j)?\nAnswer: -2*j**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 7*u + 4. Let z be (-1)\/1*(-16)\/8. Suppose x + z*x = 9. Let y(h) = 0 - 13*h - 10 + x. What is 11*o(s) + 6*y(s)?\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ojuojjoo. What is prob of picking 1 o and 1 j?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 1.6066977 months in years?\nAnswer: 0.133891475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 138362364?\nAnswer: 2, 3, 7, 29, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((16\/(-70))\/4)\/(-13 - 194\/(-15)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 4 (b) 3 (c) -1\/5 (d) 13\/22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -202 + -33?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**2 - m. Let a = 3 - 24. Let t(y) = -9*y**2 - 7*y. Calculate a*s(j) + 3*t(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -10271 in -12, 2, -4?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2807914957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 2*b. Let v be (2\/(-3))\/(1\/(-3)). Let d(k) = -76*k + 996. Let i be d(13). Let h(c) = 7*c**2 - 5*c**2 + i*c**v. What is h(y(r))?\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1040, 1225, 1534, 1967, 2524?\nAnswer: 3205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14139 is divided by 46.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2.283 - 19.676. Let x = -0.041 + p. Let u = x - -22.1. Which is greater: 22 or u?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 9516321 and 1026.\nAnswer: 57097926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4 - (5 - 4) - 76. Let w = 76 + y. Suppose -5*z - 16 = w*x, 3*z + 34 - 4 = 5*x. Solve -x = -2*n + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-6)\/(-15) + 24\/15. Suppose d - 2000000 = -l*t, -t + 525490 = -4*d - 474510. Round t to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/111 in 3\/5, -0.5, 1\/11, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 64 = 4*v, -v + 17 - 1 = 4*m. Solve 3*r + v = -2*x, -3*x + r = 2*r + 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9 (base 13) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) be the second derivative of -5*m**3\/6 - 7*m**2 - 186*m. Let f(j) = -4*j - 15. Let k(p) = 6*f(p) - 5*u(p). Calculate k(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = l**3 - 8*l**2 - 6*l - 13. Let c be k(9). Let b = c - 12. Suppose 125 = x + b*t, -5*x - 2*t + 119 = -506. Is 27 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 15\/(-16)*(-72)\/(-1260)*-14.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 25\/10*6\/5 - 4. Suppose 7 - 23 = -4*l. Put -2, y, l in decreasing order.\nAnswer: l, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -115*g**3 + 1 + 246*g**3 - 130*g**3 - 7 + 2*g**2 + 3*g. Determine o(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*t + 2*t - t)*(24*t + 23*t - 60*t) as b + c*t**2 + w*t and give c.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 207 + 101. What is the highest common factor of s and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*m - 30 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(80)*1 - sqrt(80)))**2 - ((sqrt(80) + -2)*-6)**2.\nAnswer: -3024 + 576*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round 3.68051551 to 2 dps.\nAnswer: 3.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2020882.\nAnswer: 2, 809, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = 2*t. Let z(j) = j**3 - j**2 - j + 4. Let s be z(t). Suppose 52 = 8*x - s*x. Solve x = -2*o + 3 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 2814, -1, -2.\nAnswer: -2, -1, 4, 2814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -2056, 18580, 5 in decreasing order.\nAnswer: 18580, 5, -2056","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in fourty-five eighths of a kilogram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -9 + 1 - (-55 - -43).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 283495, 566670, 849845?\n\"Answer: 283175*n + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 2, s: 1, i: 1, m: 1, b: 1, u: 1}. What is prob of picking 1 s, 1 m, and 1 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 81319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 25797 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: Let p be ((-12)\/(-15) - (-2 + 3))*-1. Which is smaller: -0.09 or p?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -3\/951626 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 8048.667 micrograms to kilograms.\nAnswer: 0.000008048667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + -3. Which is smaller: i or 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 63 = -3*a. Let w = -19 + a. Solve -u = w*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide (-2121)\/(-42)*(29 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 20*d - 532. Let r be j(27). Solve -3*p = -2*g - 12, -4*g = p - 3*p + r for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = -10*n**3 + 16 - 16 + 2*n**3. Let g be u(-1). Solve a = -3*t + 1 - g, 5 = 5*a + 5*t for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-30)\/(-5))\/((-12)\/(-26)))\/(-4 - -3)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -d**2 + 231*d + 31794. Calculate m(-97).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36505391?\nAnswer: 13, 2808107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -j**2 - 21*j - 40. Calculate c(-22).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19292?\nAnswer: 2, 7, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 113*k**2 - 73*k + 4. Give v(2).\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*m - 4*m + 44. Let z(t) = -2*t - 7. Let a be z(-5). Let f be ((4*2)\/2)\/2. Solve -m = a*x - s + 3*s, 2*x - f*s + 4 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(5\/((-10)\/(-6))). Let u = f + 0. Let g be 4 - (5 + -3)*u. Let o(k) = 3*k. What is o(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102*l + 82*l - 904427 = 512557. List the prime factors of l.\nAnswer: 3, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-7))**(-50)*(h**10*h)\/h*h**(3\/13) assuming h is positive.\nAnswer: h**(4683\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.5 and 1030.11.\nAnswer: 1030.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5339, -5534, -5713, -5870, -5999, -6094, -6149?\nAnswer: -6158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 212330*j + 849323. Give l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - 4) + -4 + 0\/(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -b**2 - 5*b - 4. Let z be x(-3). Solve z*c + c = 15 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 8\/(-20) + (-2046)\/(-15). Let q(n) = -n**3 + 7*n**2 + 8*n + 12. Let s be q(9). Let h = s + a. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1.2 (b) -10 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 15, -103, -4737?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of o**4 - 13*o**3 - 97*o.\nAnswer: 12*o**2 - 78*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 - 17*w - w**2 + 7 - w**2. Let v = 479 - 489. What is the units digit of s(v)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -9, 411, 2, 18 in increasing order.\nAnswer: -9, 2, 3, 18, 411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the second derivative of 0 + 0*i**6 + 0*i**4 + 0*i**5 + 4*i - 7\/6*i**3 - 5\/42*i**7 + 0*i**2. Find the second derivative of o(c) wrt c.\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -10*f**3 - 2*f**2 - 16*f - 10. Let d(k) = 9*k**3 + 3*k**2 + 15*k + 9. Let o(q) = -7*d(q) - 6*r(q). What is c in o(c) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2100 or 29\/5?\nAnswer: 2100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -172, -829, -1484, -2137, -2788, -3437, -4084?\n\"Answer: b**2 - 660*b + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -140543, -281086, -421629, -562172?\n\"Answer: -140543*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 8*c**3 - 47*c**2 - 2*c - 31. Let f be i(6). Let s(g) = 5*g - 3. Let o(v) = -3*v + 2. What is f*o(k) - 5*s(k)?\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22*c**2 - 30*c**2 + c**2.\nAnswer: -51*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 - 1111222120?\nAnswer: -1111222111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.1 and -0.5.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a - 4*o + 65680 + 1253, 0 = -5*a - 5*o + 66930. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -20 + -450656?\nAnswer: -451006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1461 + 1417. What is the second biggest value in -0.4, 1, m, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 1301*h**2 + 3*h + 6. Let y(k) = -74154*k**2 - 170*k - 340. Give 170*g(x) + 3*y(x).\nAnswer: -1292*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -5. Let y be (25\/s)\/5*2. Suppose 6*i = i + y. Which is smaller: i or 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1323 + 3?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4918 - -4917.86. What is the nearest to 1\/4 in -4, 4, 2\/3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 118044?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, i: 3, w: 11, g: 2, v: 1, d: 1}. What is prob of picking 1 w, 1 h, and 1 d?\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-96))\/(-31*(-4)\/248*2\/(-2)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 361 + 61362?\nAnswer: 62053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 - 3. Let p(m) be the third derivative of 5*m**4\/12 + 4*m**3 + 206*m**2. Let o be p(-3). Let c(g) = -4*g**2 + 13. What is o*c(k) - 26*i(k)?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 567775753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1679464.\nAnswer: 2, 17, 53, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 60125.33 days?\nAnswer: 86580475.2","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Find y such that 14*y**4\/3 + 6443228*y**3 + 110454982*y**2\/3 + 46943312*y - 16568232 = 0.\nAnswer: -1380686, -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.3 + -0.2. Let n = 1244 + -3772\/3. Let r = 13 + n. Which is the closest to r? (a) -1\/4 (b) t (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 16 + -52*18\/504. Let 30\/7*i**3 - 3\/7*i**4 + 120\/7*i - 48\/7 - j*i**2 = 0. Calculate i.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of -p**3\/3 - 9*p**2 - 42*p - 23. Let n be q(-15). Suppose k = -n*k - 32. What is the third biggest value in k, 1\/4, -2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (5*q**2 - 3*q**2 - 3*q**2)*(12*q + 24*q - 51*q) - q + 3*q - 33*q**3 + 32*q**3 as g*q + y + h*q**2 + s*q**3 and give s.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -187623.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5073*a*p**4 - 1174*a*p**2 + 91*a*p - 490*p**6 + 2*p**2 - 2 wrt p.\nAnswer: 121752*a*p - 58800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*c = 11*c + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -2.5182 and 0.03569.\nAnswer: -0.089874558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k - y = -258, 4*k - 2*y = 258 - 46. Let f = k + 22. List the prime factors of f.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 2410*z**3 + 25*z + 1300. Let b(a) = 1206*a**3 + 10*a + 650. Let t(x) = 5*b(x) - 2*u(x). What is the derivative of t(i) wrt i?\nAnswer: 3630*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -6 divided by 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.96 - 0.36. Let o = 6.2 + -7. Let w = x + o. Which is the closest to w? (a) 0 (b) 3\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11764?\nAnswer: 2, 17, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 32 divide 548?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1865455, 3731548, 5597641, 7463734, 9329827, 11195920?\nAnswer: 13062013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 153*k**2 - 25 + 150*k**2 + 145*k**2 - 626*k**2 + 192*k**2.\nAnswer: 14*k**2 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.02 * 14369.\nAnswer: -287.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the third derivative of j**7\/210 + j**6\/24 + j**5\/20 - 5*j**4\/24 - 2*j**3\/3 + 6185*j**2. Factor t(y).\nAnswer: (y - 1)*(y + 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**4\/a*(a**(-6)\/a*a)\/a)**(-5) assuming a is positive.\nAnswer: a**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -20 + -1 + (-98 - (139 + -304)) - (5 + 0).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 2.3, 10\/9, 5?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 49635558 by -126.\nAnswer: -393933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sum 76.9874 and 185.\nAnswer: 261.9874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -7265797*p**2 + 140686*p + 12.\nAnswer: -14531594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o = -10 + 5. Let t = o - -8. Let x(v) = -6*v**2 - 85*v + 3. Calculate the remainder when x(-14) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (402 - 389) + 22 + 0 + -26 - (0 - 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 1611236 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 7*a**2. Let p(y) = -24*y - 33*y - 26*y - 36*y - 6*y**2 + 105*y. What is p(t(x))?\nAnswer: -294*x**4 - 98*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -28715, -57427, -86133, -114833, -143527, -172215?\n\"Answer: 3*x**2 - 28721*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 127 - 48. 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 the cube root of 1661 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -201, -248, -275, -282, -269?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21\/2 or -3\/2?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -25 (base 9) in base 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 459*h**4 + 9*h - 21*h**2 + 980*h**4 + 9*h + 3*h**5 + 109*h**4 - 4*h**5 wrt h.\nAnswer: -60*h**2 + 37152*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -23 in -3, 0.5, -59177, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*t**2 - 5825*t + 192270.\nAnswer: 5*(t - 1131)*(t - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 80 - 2*d**2 + 94 - 274 + 100.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5\/7, 0.269, 2\/17, -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Sort 293, 105, -1 in increasing order.\nAnswer: -1, 105, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a = -34 - -114. Calculate the highest common divisor of 10 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:14 AM and 10:31 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = 30 + -12. Suppose -l = -4*l - v. Let o = -2 - l. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 47 + -24. Solve -4*d - g = 5*r + 6, -3*r - 10 = -5*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v = -1988*a + 1985*a - 10, -3*a - 3*v - 9 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 134837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.3 - -1.5. Let m = 0.7 - z. Let n = 0.3 + -1.3. Which is the closest to -2? (a) m (b) n (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -21*x**4 + 6*x**2 + 6*x - 16. Let h(s) = 43*s**4 - 13*s**2 - 13*s + 32. Let q(z) = -13*f(z) - 6*h(z). Differentiate q(n) wrt n.\nAnswer: 60*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -15550956*c**2*i**3 - 443*c**2 - 3926*c wrt i.\nAnswer: -46652868*c**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -17*i + 6. Let b(p) = 67*p + 74*p + 76*p - 214*p. Give t(b(k)).\nAnswer: -51*k + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 0 + 6)*(-7486*r - 2 + 0 + 7495*r).\nAnswer: 9*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(121) - ((sqrt(121) - -3*(sqrt(121) + -2*sqrt(121) + sqrt(121))) + sqrt(121)))\/sqrt(11) - (1 + sqrt(539) + sqrt(539) + -1)**2*2.\nAnswer: -4312 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 3 and -19123?\nAnswer: 19126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/(-5))\/((-14)\/(-35))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 530465 and 3432?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is (-1544)\/(-193)*-1*1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 224472711 by 3.\nAnswer: 74824237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -36 - 415?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = f**3 - 47*f + 15. Let g be x(-7). Suppose -5*d = -10 - 15. Suppose 2*q - 5 = -d*u + 19, -2*u = -4*q. Solve -p = -q*p - g for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = l - 3*z - 12, 5*l + 99 = z. Let c be (-159)\/3 - (0 - -4). Let o = l - c. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((s*s**1*s**(-1))\/(s*s**(-4\/9)*s**(-1\/8)))**(-46))**(7\/6) assuming s is positive.\nAnswer: s**(-6601\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 830, 1625, 2408, 3185, 3962, 4745, 5540, 6353?\n\"Answer: s**3 - 12*s**2 + 824*s + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 6 (base 10) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 2*o = 372, -3*k + 6*o - 3*o = -297. What is the remainder when k is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((2\/(-4))\/(2\/(-16)))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4*6\/(-132))\/((-5)\/10).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7558.\nAnswer: 2, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 7 + 2)*(0*s + 0*s - 2*s)*(-1 + 3 + 1).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -386873426*j**6 - 147472*j**2 + 131*j + 2 wrt j.\nAnswer: -46424811120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26 and 356?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1985277820?\nAnswer: 2, 5, 31, 409, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/(-200)*-4*400\/(-60)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = b**3 + 3*b**2 + 9*b + 42. Let i be w(-4). Let v = 47\/2 - 22. What is the biggest value in -0.3, v, i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2 - -57129?\nAnswer: 5712b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 266840 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1188 divided by 44?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -14 - -13. Let m = 1 - f. Let t = -3 + 2. Sort t, -3, m in ascending order.\nAnswer: -3, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -342\/5 + 68. Let c be 2\/(-4)*(-364)\/65. Let i = -2 + c. What is the second smallest value in i, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 749107*u. Let z(o) = -o. Calculate z(q(w)).\nAnswer: -749107*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in 197, -5, -89?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/86 and 61\/57.\nAnswer: 4902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5955\/(-259638))\/(10\/(-4)).\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -22101 + 11000210?\nAnswer: 10201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -55 - -58. Suppose -5*z - 4*i + 75 = 0, 0 = d*i - 6*i + 15. Suppose -4*u = -20, 20 + 20 = 5*y - 3*u. What is the highest common divisor of y and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*m + 3*j - 15, 5*m - 3*j + 8*j - 25 = 0. Suppose 10*k + 5 - 55 = m. Let v(c) be the first derivative of 2*c**3\/3 - 3*c**2 - 4*c - 8. Give v(k).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 11, 1531, 4 in increasing order.\nAnswer: 4, 11, 1531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = 18 + -25. Let a = 18 - h. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*y = 3*p - 15*y + 32, -14*p - 4*y = 14 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 86a2d1 (base 14) to base 5.\nAnswer: 2131423403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.097415 take away -89878191?\nAnswer: 89878191.097415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2086 + 2086. Solve z - 3*p + 9 = g, 3*z - 6*z + 2*p = 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 1 + 3)*(18170 - 31040 + 16560)*(-1 + 1 - 3*c**4) to v*c**4 + t + r*c + a*c**3 + h*c**2 and give v.\nAnswer: -33210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -2.37 + 1.7?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y + 4 = 16. What are the prime factors of -1*y\/10 + (-126)\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -531 + 753. Let c be 12*(-2 + 24\/9). Suppose 138 = c*y - p. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 117278 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1680 + 1104 + 846 - 2*a)*(5 + 1 - 4).\nAnswer: -4*a + 540","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(77) - (((sqrt(77) - (sqrt(77) + 3*sqrt(77))) + sqrt(77))*3 - sqrt(77)) - sqrt(77)))\/(-2*sqrt(1008)*1).\nAnswer: -7*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 267730694*z**3 - 267730695*z**3 - 4 + 4.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -2*h**3 - 6*h**2 + 5*h - 4. Let z be (-7)\/((-140)\/(-15)) + (-91)\/28. Let a be r(z). Solve -a*b + 4*b = -4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 78943635?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -181827*f + 181804*f = -690 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.6983 - -0.695969. What is t rounded to 4 decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -a**4\/9 - 82369*a**3\/9 + 82370*a**2\/9 = 0. What is a?\nAnswer: -82370, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -y = 4*y - u + 8, -12*y + 30*y = 22*y - 16*u - 24 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -19\/14 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 385371 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**4 + 2*t**4 - t**4 - 6*t**4 + t**4 + t**4 - t**4 + 0*t**4 + 0*t**4 + (0*t + 0*t - 2*t**3)*(4*t + 3*t - 6*t) - 324*t**3 + 152*t**4 + 324*t**3.\nAnswer: 146*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 341571.\nAnswer: 3, 41, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 3\/4 in -3\/5, -1, -143?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -428 (base 12) to base 6\nAnswer: -2452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -j**2 + j + 2. Suppose 0 = 5*h - 3*d + 499, 4*h + 3*d + 380 = -d. Let r = h - -98. Suppose r = -n + 8*n. Calculate a(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -1, -1\/8, 497598 in descending order.\nAnswer: 497598, -1\/8, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2*36\/(-32))\/(((-24)\/6)\/(-16)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 2*x + 30, -x - 7*d - 28 = -3*d. Let b be 56*4\/(x\/5). Let i = 101 + b. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 34 * -0.011.\nAnswer: -0.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**0*j)\/((j**(-1\/4)*j)\/j)*((j*j*j\/((j**(-2)\/j*j)\/j))\/j*j)**23 assuming j is positive.\nAnswer: j**(561\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -112b (base 16) to base 7\nAnswer: -15546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -61692 in 1, -0.1, 12?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**2 - 29*l + 199. Let m be w(18). Put 15, 0.2, -0.7, m in decreasing order.\nAnswer: 15, m, 0.2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*l**2 - 170*l - 465.\nAnswer: -5*(l + 3)*(l + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that 3*b**4\/2 + 5*b**3 - 58*b**2 - 180*b + 144 = 0.\nAnswer: -6, -4, 2\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v be 20\/((-12)\/(-8)*1\/(-3)). Let f = v - -92. Calculate the greatest common divisor of f and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 469 is divided by 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16*(-65)\/(-80) - (-1354)\/(-104))*(-12)\/(-2).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 105\/4 - 1\/4. Let o = w + -15. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*t - 80 - 4 + 19. Solve -2*o + 45 = t*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2935842 and 1092?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 + 37*t**2 + t + 39. Does 2 divide l(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-5)*5\/(75\/10)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 86 a factor of 1094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*b - 3*v - 17, 2*b + 8*v - 13*v - 19 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2967 - -ac?\nAnswer: -2899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1431 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in z + 2*z + 3*z - 187750 - 5*z.\nAnswer: z - 187750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1143.30671278074 + 0.\nAnswer: 1143.30671278074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 44421 and 93054.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 4, x: 6, l: 5}. What is prob of sequence xx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h**3\/7 - 14417*h**2\/7 - 7278000*h + 7362730476\/7 = 0. Calculate h.\nAnswer: -7278, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1101001110110010010 - 1010001110?\nAnswer: -1101010000000100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is ((-392850)\/1125)\/291 - (-56)\/46?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/o**(-11)*o*o**(-3\/4)*o)\/(((o*o*o**(-16))\/o)\/(o\/o**(3\/7))))**(-5) assuming o is positive.\nAnswer: o**(-4035\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -d. Let t be u(-1). Put -7, -4, t in decreasing order.\nAnswer: t, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:44 PM and 3:26 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 218526 and 154671.\nAnswer: 23819334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = y**3 - 5*y**2 - 6*y + 3. Let f be k(6). Let h(l) = 2*l**2 + 3. Let r be h(f). Solve 24 = -4*x + 4*a, -3*a - r + 7 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 188 and 58468.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = 2*h + 66901 - 66903, -l + 5 = -3*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22 = -3*c + 4. Let t be (-1182)\/36 - (-1)\/c. Let a = t - -63. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 468 + 69*i + 468 - 938.\nAnswer: 69*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8265536 divided by -20.\nAnswer: 2066384\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3\/5, 5, -1\/7, -0.1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i = 80 - 80. Suppose 5*f + 0*l = -2*l + 22, i = -2*f - 3*l + 11. Solve 8*v = f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 480387*f**2 - 240437*f**2 - 240250*f**2.\nAnswer: -300*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.352, -5, -0.4, 7 in descending order.\nAnswer: 7, -0.352, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 5606*c. Let j(x) = -810 - 14*x - 15*x + 26*x + 810. Determine q(j(f)).\nAnswer: -16818*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2114002, -8456067, -19026180, -33824341, -52850550?\nAnswer: -76104807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = y - 1. Let w(n) = 8. Let t(d) = -w(d) - 5*x(d). Is t(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -25, -42, -71, -112, -165?\n\"Answer: -6*x**2 + x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -n. Let w(g) = -8*g - 4. Let f(i) = 3*j(i) - w(i). Let t(z) = 64 + 10*z - 22 - z - 33. Calculate 9*f(d) - 4*t(d).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*k**2 + 29*k**2 - 33*k**2 + 109 + k**2 to the form h*k**2 + w*k + x and give x.\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes before 8:21 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 36+-7791913284.828\nAnswer: -7791913248.828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 290141 is divided by 82?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 114100 is divided by 627?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3 and -2959?\nAnswer: -8877","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.2? (a) 4 (b) -0.1 (c) -3\/128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 131628 (base 12) to base 9\nAnswer: 527235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v**2 - v**2 - 3*v**2)*(61*v + 4*v - 231 + 232).\nAnswer: -130*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-2)\/(-6))\/((-6)\/(-288)). Suppose 4*a - 24 = -2*m, -4*a + m + m + h = 0. Suppose 2*o - a = -3*k + 29, 0 = -3*o + 3*k + 21. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15076, 15087, 15104, 15127, 15156, 15191?\nAnswer: 15232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8996 = 3*r + 670. Let a be r\/(-42) + 2\/7. Let s = -45 + a. What is the highest common factor of s and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 83\/2108170 and -27\/10.\nAnswer: 2108170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -4*m + 4 - m**2 - 2*m**2 + 3*m**2 + m**2. Let y be h(3). Solve 4*v = -19 - y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = 15*d - 26. Give n(8).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/76 and -17\/95.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-10)\/(-15) + 1\/3. Put -5, n, 4 in ascending order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1997 + 2003. Is k at most 154\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10254922361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the first derivative of h**6\/51 + 2*h**5\/85 - h**4\/34 - 2*h**3\/51 - 51. Suppose c(q) = 0. Calculate q.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11)\/(330\/(-24))*(-5)\/20?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*m + 75 - 19 = 0. Suppose -338 = -q - q - m*n, 3*q = 3*n + 516. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 186, 207, 228, 249, 270, 291?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = 5*z**2 + 1872*z + 7414. Give r(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 2 + 19 + (1989 - 2022)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 715006984 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.7 (b) -0.4 (c) -4\/3 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 44104203234 - -2?\nAnswer: 44104203241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 1553*t - 3111*t + 260*t**2 + 0 + 1558*t as f*t**2 + i + c*t and give f.\nAnswer: 260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 40 and 475?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 2, c: 4, d: 2, x: 1, h: 1, b: 2}. Give prob of picking 1 d, 1 b, and 2 t.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 26706422 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 8850, 8851, 8852, 8853?\n\"Answer: u + 8849","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*t**2\/7 + 3531504*t\/7 + 149532594\/7 = 0 for t.\nAnswer: -127\/3, 196237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(-2\/9)*o\/(o\/o**(1\/3))*o*(o\/(o**0*o))**(-39))\/((o\/((o*o\/(o*(o**(1\/2)\/o*o)\/o))\/o))**(-4\/9))**(-22) assuming o is positive.\nAnswer: o**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -17*q - 135. What is the tens digit of a(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 750 a factor of 161088178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes after 12:37 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -100 - 4573*f**3 + 20*f - 8*f + 4575*f**3 - 12*f.\nAnswer: 2*f**3 - 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ccyycqycyyq. What is prob of sequence cc?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*x + 61*x + 78*x = -10600 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -9.23 in 7, 0.06, -2\/5, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 192*o - 83989826 + 23191490. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -151, -301, -451?\nAnswer: -601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(726)*3 + sqrt(726) + sqrt(726))\/sqrt(3))**2 + -5 + sqrt(2) + (-4 + sqrt(8))**2.\nAnswer: -15*sqrt(2) + 6071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yyp when three letters picked without replacement from {y: 3, p: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = 31 + -153\/5. What is the third biggest value in 1, g, 3\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5251 - -534?\nAnswer: -4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -32\/21 and -58\/3003.\nAnswer: 3003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 38638666, 38638668, 38638670, 38638672, 38638674?\nAnswer: 38638676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/(-2))\/(-1)*(-2 + (-154)\/(-33))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*j + 3 = 9*j - 3*r, -21 = -3*j + 5*r. Suppose 14*p = 17*p - j. What is the lowest common multiple of p and 54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 - (-1 + 0 - -1). Let d = 6 - m. Suppose 3*r - 45 = -d*r. Solve 0*i - 3*i + a = -r, i = 4*a + 14 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/(-6))\/(760\/456)*(-17)\/((-918)\/12).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 1 (b) -0.5 (c) 122 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 54 + 122 = 0. Suppose -2*v + 5*q = -29, -3*v + 16 = -0*v - 2*q. Let t be (-1 - v\/(-4))*-22. Calculate the highest common factor of n and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21203345 to the power of 1\/4, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 12667141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 239*p**3 - 184*p**2 + 184*p**2 + 2 - 5139*p**3 in the form d*p**3 + x*p + c*p**2 + s and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = 2*v + 2. Let p(s) = -22 + 4*s**v + 6 - 3*s**2 - 5*s. Is 13 a factor of p(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 11*2*(-21)\/(-6). Let z be (-22)\/o - (-93)\/7. Suppose -z*j = -9*j. Solve -2*v + j*v = -4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2636*u + 16 - 79996*u - 34596*u - 16.\nAnswer: -111956*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -3*z**2 + 34*z - 32. Let b be j(10). Solve -b*o - 2 = -6*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(-4) - (-9)\/4. Let f be (-21)\/((-9)\/3) - 3. Suppose t = -f*z + 5*t - 16, q*t - 12 = -2*z. Solve j + 1 = -z for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 789143201 - -5?\nAnswer: 789143206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 11111 (base 2) to base 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 13 = -3*y, -m - m - 22 = -3*y. Let c be 1\/(-5) + ((-301)\/(-105) - y). Does 0 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -6160.66 and -1.\nAnswer: -6161.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) be the second derivative of -v**7\/2520 - v**6\/120 - 7*v**5\/120 - 6*v**4 + v + 2. Let z(j) be the third derivative of p(j). Determine z(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 75 + 19 + (17 + -22 - 8)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/2))**(-7\/9)*(x**(-1))**(-46) assuming x is positive.\nAnswer: x**(821\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times 0.072?\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-222)\/(-4)*(1 + 1). Suppose 0 = -4*y - 2*s + 61 + 81, 3*y - a = -3*s. Is 17 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 5, b: 5, m: 1, f: 1, q: 5, j: 3}. Give prob of picking 1 j, 1 b, and 1 f.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 5*i = 0. Suppose i = 2*f - k - 10, 5*f + 5*k - 11 = -1. Is ((f - 2) + 15)*7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 + 4. Is -5*(1*-58)\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 73*b - 53*b + 60 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 51923771 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) be the first derivative of -3*f**4\/2 - 5*f**2\/2 + 8. Find the second derivative of c(d) wrt d.\nAnswer: -36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 26 = 1. Let f(g) = -g + 5. What is f(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*f**3 + 114*f**4 - 1 + 68*f**4 + 2*f + 3*f**3 - 81*f**4 to m*f**4 + q*f**2 + p*f**3 + b + x*f and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**3 - 12*s**2 - 12*s - 7. Let w be k(-11). Let p be 9\/w - 5\/20. Suppose 2*a - 32 = -p*a. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 9653 + -6486. List the prime factors of s.\nAnswer: 3167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 37) + (-1042 - -1062)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 806 - -1096. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -109 + 108.9839. Let s = 2 - 1.99. Let n = s + w. What is n rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.6? (a) -1 (b) 4 (c) -4 (d) 1\/66\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 54505.57l in millilitres?\nAnswer: 54505570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be 46\/(-8)*4 + -1*1. Let d be ((-8)\/15)\/(n\/60). Sort 1, d, -10 in descending order.\nAnswer: d, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28122389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -182629*m - 2018. Let o(q) = -904*q - 10. Let t(u) = 5*c(u) - 1009*o(u). Let w(f) = f. What is w(t(v))?\nAnswer: -1009*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**13\/y*y**12\/y assuming y is positive.\nAnswer: y**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8535?\nAnswer: 3, 5, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 - -7 - (7 - 8). Suppose 4*r + 56 = z*r. Solve 3*b = 5*s - r, -3*b + 3 + 7 = s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1400565 > 1400659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 204 + -144. Let k = y - 45. What is the lowest common multiple of 7 and k?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 756235 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 460 divided by 5.\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**2\/4 + 416148*c + 57726385968.\nAnswer: 3*(c + 277432)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -165*q**5 + 740*q**4 + 4045*q**3 - 7320*q**2 - 4540*q - 560 = 0.\nAnswer: -4, -1\/3, -2\/11, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = -339.3 - -316. Let w = q - -23. Which is the second smallest value? (a) 5\/2 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*t + 4*q + 50 = -170, 3*t + 79 = 2*q + 209 for t.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n - 5*t - 35, -4*n + 4*t = -3*n + 14. Let u(a) = a**2 + 9*a - 8. Let o be u(n). Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 2657749 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-27))**(-4) assuming c is positive.\nAnswer: c**108","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -0.5, -1\/4, -5.5 in decreasing order.\nAnswer: -1\/4, -0.5, -4, -5.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor l**3\/2 + 17*l**2\/2 - 9*l.\nAnswer: l*(l - 1)*(l + 18)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -0.1 or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide -286089888 by -40869984.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 20536.968 months in years?\nAnswer: 1711.414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes before 7:33 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the second derivative of p**5\/20 - p**4\/6 + p**3\/3 - 3*p**2\/2 - 2*p. Let j be (-10)\/(-6) + (-2)\/(-6). Determine d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes after 2:55 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -59 times 4.9\nAnswer: -289.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/186 and 143\/24.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n = 322.998 - 323. Let d = -423 - -427. What is the second biggest value in 3, d, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the third derivative of 0*y**3 + 1\/280*y**8 + 2\/75*y**5 + 5*y**2 - 1\/150*y**6 + 0 - 4\/525*y**7 + 0*y - 1\/60*y**4. Suppose d(h) = 0. Calculate h.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -83.2 + 84. Let p = 0.7 - w. Is p at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 21 - 13. Suppose -2*n + 7*n + 5*h - 15 = 0, -4*h + t = 3*n. Let r(c) = 3*c**2 - 46*c + 96. What is the remainder when r(13) is divided by n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 29*u**4\/5 - 344744*u**3\/5 + 594313*u**2\/5 - 30902*u - 95088\/5 = 0. What is u?\nAnswer: -8\/29, 1, 11886","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 - 6 + 3)*(t - 2 + 2) + 15*t - 21*t + 95*t)*(-2*t + 3*t + 0*t)*(3*t**2 - 5*t**2 + 4 - 2*t**2)*(4*t + 2*t - 3*t).\nAnswer: -1056*t**5 + 1056*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -316168 (base 9) to base 4.\nAnswer: -231331001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -8*c - 38. Determine z(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 518004115.\nAnswer: 5, 3313, 31271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 0.006939 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z + 21 = -4*z. Let p be (18\/171)\/(2 + z). Let g be ((-24)\/9)\/(-4) + 8\/(-3). Which is the closest to 0? (a) g (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) -221 (c) 2 (d) 370 (e) -1\/18 (f) 0.5 (g) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 - -1. Suppose z = u + 6. Suppose 4*n + 4*o = -2 + 38, o = n - z. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 5*l + 6. Let f(i) = -42*i - 6. Let z be f(-6). Let y be 5\/(-4) + z\/216. Is l >= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j - 4*j - 1996 + 25804 = 0. Is 6 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-565*h + 413*h - 3181*h - 1839*h)*(-2*h**2 + 3*h**2 - 2*h**2) in the form z + x*h**2 + f*h + r*h**3 and give r.\nAnswer: 5172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 6*p = 3*p - 34, -4*s + p = -23. Let g(a) = a**2 - 6*a - 2. Give g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2 + -28c?\nAnswer: -28e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 12*w**2 - 42*w - 38. Let j be t(33). Let q = j + -791777\/68. Calculate the common denominator of -67\/10 and q.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 35.4 to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeiieeeieeeeeee. What is prob of picking 2 i and 1 e?\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = -29 - -14. Let b = d - -10. Let g = 3 + b. Put 5, g, -1 in descending order.\nAnswer: 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -12 (b) 61\/53 (c) -1 (d) -4\/9 (e) -2 (f) -40\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 10581.7 rounded to the nearest 100?\nAnswer: 10600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = 5*v - 55. Let i be m(29). Suppose 182*z - 188*z + i = 0. Let o = 57 - 12. Calculate the highest common divisor of o and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -309*g - 12. Let q be z(2). What is q rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -23*n**3 - n**2 - n - 1. Let k be q(-1). Let c = k - 4. Let w be (-7)\/4 - (-711)\/36. Are w and c equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u**2 + 7. Let p be (1 - 1)\/(1 + -3). Give v(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 126, 0.4, 80931?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 2122 divide 52574567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 1. Let z be (-94)\/54 - -1*y. Let h = -2\/27 - z. What is the second smallest value in h, 2, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -a39c (base 14) in base 15?\nAnswer: -852b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 170161.9927 - 170326. Let a = -164.369 - -0.369. Let o = a - y. What is o rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1270486 to the nearest 1000.\nAnswer: -1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 + 4.032. Let o = -2.732 + u. Let a = o + -1.3. What is the closest to -0.3 in 2, -1\/4, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*d**3 + 10*d**3 - d**3)*(4 - 2 - 4).\nAnswer: -26*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*h - 5*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 plus 2612?\nAnswer: 2612.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 0.19, 6\/7, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6.09? (a) -18 (b) -0.1 (c) -211.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 82*v**3 - 17*v**3 - 21*v - 8*v**4 + 12*v**3 + 22*v**3 + 23*v as r + x*v**4 + k*v**2 + t*v + d*v**3 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {j: 1, y: 3, i: 9, d: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 176986427*b - 176986427*b - 3*b**3 - b**3.\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(980)*1 + (sqrt(80)*-1)\/sqrt(4))\/(sqrt(40)\/(sqrt(4) + sqrt(112)\/sqrt(7))))**2.\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be 27*(-6)\/(-9) - -2. Solve -c = -5*l, -4*s = l - 5 + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 8 = -24. What is the third derivative of -5*j**6 - d*j**2 + 12*j**6 - 5*j**6 wrt j?\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 3*y**2 - 3260*y + 787725. What is r(724)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82653 is divided by 27535?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6923721 is divided by 3461746?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n = -168.51 + 167.51. Let m(d) = -d**3 - 3*d**2 - 2*d - 3. Let l = -7 + 4. Let q be m(l). Sort n, q, -0.2 in increasing order.\nAnswer: n, -0.2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4324\/5 at least -866?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-1958)\/(-110) - 18)*-15. Solve 3*g = -u + 1, 6*g = -b*u + 3*g + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 675 divide 25875722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -19502*m - 214753. Give u(-11).\nAnswer: -231","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 2*r - 15 = 0, 0*h - 2*h = 5*r - 29. Let q(a) = -19 - 29 + 6*a + 54 + h*a**2. Is q(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -631 or -491?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -649*n + 654*n - v = -6, 0 = -3*n - 2*v - 1 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 3*l. Let j(v) = 6*v. Let k be 9\/2 + (-2)\/4. Let f be k\/(-12)*-9 + 0. Suppose 0 = -3*i + 3, -56 = 5*n - 4*i + f*i. What is n*x(a) + 6*j(a)?\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 126 and 8218.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/d**(-2\/7)))\/((d\/((d**(3\/7)*d)\/d)*d)\/d))\/((d*d**(1\/9)*d*d)\/d*d**(1\/3)) assuming d is positive.\nAnswer: d**(-208\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1408 + 812 = 5*t. Let o = 55 + t. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 4*a**3 - 98*a**2 + 53*a - 114. Give n(24).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = t**3 - t**2 - 3*t + 3. Let s be a(2). Let q = -10 - -47. Suppose -4*x - 5 = -q. What is the greatest common divisor of x and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 118, 140, 162, 184?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -25, 1, 9, -4 in increasing order.\nAnswer: -25, -4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {p: 4, c: 3, w: 7, f: 4, h: 1}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*u + 118*u = 70*u + 137 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 68.2, -109, -6 in increasing order.\nAnswer: -109, -6, 68.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -z**2 + 10*z + 11. Let t be q(-8). Suppose -2*i + 1030 = 2*i + 2*n, i - 258 = -n. Let x = i + t. Round x to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -23, -5, 65, 2 in descending order.\nAnswer: 65, 2, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 5224 and 165862.\nAnswer: 663448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -53, -108, -163?\n\"Answer: -55*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 30 - 39 = 3*m, 2*f = m + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 62565.1887 to the nearest 100.\nAnswer: 62600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 948758487?\nAnswer: 3, 23, 13750123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -148 = o - 5*o. Suppose 3*v = 3*a + 15, -5*v + 2*a + 12 = -2*v. Suppose 3*c = o + v. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 103.4 - 99. Round b to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 + 2.4724\nAnswer: 6.4724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, -1, -4\/5, 2\/7, 58.\nAnswer: -1, -4\/5, -2\/5, 2\/7, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Determine q so that q**2 - 249*q + 126*q + 16 + 131*q = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v - 4*i, 5*i + 15 = -v + 3*v. Which is smaller: 1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3513 is divided by 27.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -2*f + 5. Suppose 2*l + 31 = -5*m, 0*l = -5*m + l - 22. Calculate the remainder when g(m) is divided by ((-24)\/(-9))\/((-2)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ttvwbbtt. Give prob of picking 1 v, 1 t, and 1 w.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 134732 >= 134732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cccccacccccccvc. Give prob of picking 3 c.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gvlzvzzvzvzs. Give prob of sequence glvv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 6186288?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.15126727 rounded to two decimal places?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 319 is divided by 80?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -33, -153, -345, -603, -921, -1293, -1713?\nAnswer: -2175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = -s**3 - 8*s**2 - 6*s + 3. Let z be d(-7). Let c be (-2 - (-34)\/8)*z. Let v = c + 9. Solve 0 = -4*o + 12, -3*k + v*k + 5*o - 18 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 44213 (base 10) to base 16\nAnswer: acb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -163 or 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 0.05094, 0.2, -0.58 in increasing order.\nAnswer: -0.58, 0.05094, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0*-8*(-20)\/160.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is b4847 (base 14) in base 11?\nAnswer: 277a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*f**4 + 2 + 104*f**2 + 43*f + 30*f - 101*f**2 - 2*f**3 + 4*f**3 - 43*f to the form c*f**2 + x*f + t*f**4 + z*f**3 + o and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.5 in 2, -0.5, 0.0591?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-70)\/(-6) - (-1 - 2\/(-3)). Find the second derivative of -41*x - 9*x - 42*x**4 + w*x - 2*x wrt x.\nAnswer: -504*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 50 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.6 - 1728\nAnswer: -1728.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add together 52011215207393 and 0.01.\nAnswer: 52011215207393.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 26*j**2 - 58*j + 120. What is v(2)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**3 + 7*t**2 - 9*t - 5. Let v = -9 - -1. Let p be x(v). Suppose -2*g = -p*l - 2, -l - 2*g = -5*l - 4. Sort l, 2, 4 in increasing order.\nAnswer: l, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -4*r**5 - 9*r**5 + 11*r**5 - r**2 + (2*r + 2*r**3 - 2*r)*(-r**2 - 2 + 2).\nAnswer: -4*r**5 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 - -11 - (4 + 0 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -46*c**2 - c. Let u(v) = 2 - 2 - 12*v + 8*v + 11*v. What is b(u(q))?\nAnswer: -2254*q**2 - 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1141 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = -537734 + 537743. Let v be 1 + -1 + (-20)\/2. Let x = v + 22. Calculate the lowest common multiple of y and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 + (3\/(-9) - (-1400)\/15). Solve 10 - o = 20*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z - m - 6 = 0, -10*m + 6*m = 4*z - 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 323 and 2?\nAnswer: 646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w be 162\/90 + (-4)\/5. Which is smaller: w or 14\/11?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or -8669?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 10545 is divided by 27.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 1 u, and 1 o when three letters picked without replacement from {o: 1, w: 1, u: 1, k: 1, p: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 10068?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = q**2 + 7*q + 19. Give j(-12).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(sqrt(3) + (sqrt(3) + -4)*-3).\nAnswer: -6*sqrt(3) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = c - 2*v, 0 = -c - 3*c - 4*v - 4 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -83.1 + 79. Let r = 9.9 - f. Let q = 17.5 - r. Round q to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5427 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve f + 94*b - 90*b + 18 = 0, -4*b = -2*f + 12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of 2\/15*y**3 - 2*y**2 - 3\/20*y**4 + 4 + 0*y + 3\/50*y**5. Let q(k) be the second derivative of x(k). Find v such that q(v) = 0.\nAnswer: 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -57052 + 57053 - 8*s**2 - 16*s**2 + 2*s**4 - s**3 to the form z*s + r*s**4 + t*s**2 + v + h*s**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of -v**5\/5 - v**4\/12 - v**3\/3 - v**2\/2 + 2*v. What is the units digit of z(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Let w = 20585\/21 - 983. Calculate the common denominator of w and 38\/567.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 12.635*-0.2789\nAnswer: -3.5239015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 235 + 531*i**3 + 310*i**3 - 2954*i - 2*i**5 - 235 wrt i?\nAnswer: -40*i**3 + 5046*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9110457?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + 26 = -2*z, -3*z - 5*t + 122 - 129 = 0 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.2 - 1.1. Let q = p + -2.7. What is the smallest value in 5, 2\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -7.3172, -1\/4, -1 in increasing order.\nAnswer: -7.3172, -1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -224575 - -56143871\/250. Let t = 2\/125 + l. Suppose u**3 - 1\/4*u**5 - 1\/2 + 0*u**4 - 3\/4*u + t*u**2 = 0. Calculate u.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -19*f**3 - 14*f**2 - 11*f - 8. Let r(p) = -33223*p**3 - 5*p**2 + 3*p - 7*p - 3 + 33217*p**3. What is -8*r(v) + 3*z(v)?\nAnswer: -9*v**3 - 2*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**3 + l. Let r(d) = -d**3 + 2*d**2 + 2*d - 2. Let w = 9537 - 9538. Give w*o(c) - r(c).\nAnswer: 2*c**3 - 2*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*s = -3*u + 3*s - 75, 15*u - 53 = 17*u - 5*s for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 15971880 a multiple of 334?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = -22 - -56. Let u(r) = -7*r + 19*r**2 + 36 + 16*r - 41*r - 10*r - r**3. Let w be u(15). What is the greatest common divisor of g and w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*j = 13*j. Suppose j = -3*f + 15, -4*f - 8 = 3*t + 8. Calculate the common denominator of 73\/9 and (-3)\/((3\/t)\/(6\/90)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7127771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = 5*i. Let c(g) = -g. Let u(l) = 6*c(l) + h(l). Let o(x) = x**2 + 2*x + 1. What is -2*o(a) - 3*u(a)?\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w\/w**(2\/7))\/w)\/w)**(1\/4)*w*w\/(w\/(w*w\/(w\/(w*w**(2\/25)*w*w*w))))*(w*w**(-8))\/w)**(-24) assuming w is positive.\nAnswer: w**(9414\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 + 2*n - 8. Give g(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*w + 2*x + 72, 0*w - 2*w + 41 = x. What is the second derivative of -c - 2*c**5 - w*c + 3*c**5 - 4*c wrt c?\nAnswer: 20*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*x = 202 - 46. Which is the fourth biggest value? (a) 1\/6 (b) -0.5 (c) x (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is h in 100\/3*h + 2\/3*h**2 + 98\/3 = 0?\nAnswer: -49, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-64)\/48)\/(1 + (-17)\/18). Let v = 57 + x. What is the least common multiple of 18 and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 1489 = 4*g, -5*g + 3*s + 1856 = 4*s. Suppose -135 = -2*m + g. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = -48*r + 238032. What are the prime factors of r?\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a (base 11) in base 7?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**3 - 47*x**2 - 30*x.\nAnswer: x*(x - 10)*(5*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 3276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 3\/4 (b) 0.4 (c) 273 (d) 2\/3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -6 (b) 16 (c) 2 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*q**3 - 1 - q**3 + 17 + 19 + 18.\nAnswer: q**3 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/4 - 62743\/10. Let a = i + 6269. What is the common denominator of -15\/4 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -8 - 16. Suppose v = 4*s - 0*s. Solve 3*m = o + 14, 5*o + s = -2*m - 0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5099312 to the power of 1\/3, to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-56)\/(-12))\/(-7)*(-45)\/(-10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 36*z**2 - 143*z - 1461. Is 43 a factor of s(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -2*n. Suppose 0*p - 52 = 5*p + 4*u, 15 = -5*u. Let z = -6 - p. Let i(t) = -4*t**2 + 0*t**2 + 3*t**z. What is x(i(q))?\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -1015, -2014, -3013?\n\"Answer: -999*w - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 59 a factor of 3334877945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be 6\/10 + (-665)\/25. What are the prime factors of r*(-3)\/(3 - 0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = p**2 + p - 28. Calculate x(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 7*i**4 + 18 - 7*i**4 - 10*i**4 - 14*i**4 wrt i.\nAnswer: -96*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -28 - -31. Let j = 0.02 - 0. Let g = j - 0.12. What is the nearest to g in s, -2\/7, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -352492 greater than -352489?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = -f - 19. Determine b(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 585079 and 957402?\nAnswer: 10531422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b = -173621.40614 + 173618. Let r = b + 3.41. What is r rounded to 4 decimal places?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 12, -2\/33, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-26)\/(-7) - (-4)\/14. Let h be -4 + 6 + -1 + 7. Suppose -189 = -3*i + 3*s, 2*i = x*s - h*s + 144. What is the highest common divisor of i and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 2*p - 117068 = 0, 34*p + 2 = 35*p. What are the prime factors of i?\nAnswer: 2, 14633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*s**3 - 72*s = 0. Calculate s.\nAnswer: -6, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 - 1. Let t be (8\/g)\/((-2)\/(-6)). Factor -5*o**2 + t - 6 + 3*o - o**3 - 11*o.\nAnswer: -(o + 1)*(o + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3)\/(-4))\/((-480)\/(-2560)). Solve -h - y + 11 - 14 = 0, 0 = -t*y + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 225.3937 to 1 decimal place.\nAnswer: 225.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 524 times -49.42?\nAnswer: -25896.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -2933454 divided by 1\nAnswer: -2933454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 56 or 10?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0121943 rounded to five decimal places?\nAnswer: -0.01219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (n**4 + 2*n**4 + 2*n**4)*(19 - 23 - 27) as p + f*n**2 + q*n + u*n**4 + x*n**3 and give u.\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.061 - 5.061. Let m be ((-6)\/4*2)\/4. Which is the closest to -0.7? (a) m (b) k (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - -5 - (5 - 2) - (44 + -50)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -2*j. Let h = 6 + -6. Let d(v) = 3*v - v + h*v. Determine d(i(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = 283.9 + -284. Which is the closest to 0.1? (a) -3\/2 (b) r (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 377 = 4*t - 63. Suppose -6*i + 224 + 76 = 0. Suppose -18*k + 23*k - i = 0. Calculate the highest common factor of t and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of -z**4 - 92*z**3\/21 - 40*z**2\/7 - 16*z\/7 - 6. Factor g(n).\nAnswer: -4*(n + 1)*(n + 2)*(7*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/36 and -37\/176.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 129*l**2 - 133*l**2 + 10086806 - 10086806.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.7 - 1.4. Let s = 365\/3 - 123. Which is the closest to 0.1? (a) r (b) s (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-1\/4)\/z)\/((z\/(z**(-2)\/z))\/z))\/(z**(-1)\/z)**(-2\/81) assuming z is positive.\nAnswer: z**(-1393\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (42*s**2 - 5*s**3 - 42*s**2)*(-4*s**2 - 1 - 2*s**2 + 2*s**2).\nAnswer: 20*s**5 + 5*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - 16 - ((42 - 36) + -12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-54)\/45)\/(84\/80))\/2.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -12789000 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/5, -3, 12\/35, -5, -497?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-two sevenths of a week in minutes?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -115 in -226\/9, -1\/23, -1?\nAnswer: -226\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p**3\/15 + 938*p**2\/15 + 12908*p\/3 + 4240 = 0.\nAnswer: -60, -1, 530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from khhmkmmkkm. What is prob of picking 3 k?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.5 - -0.6. Let s(g) = g**2 + 22*g + 55. Let t be s(-19). What is the closest to u in -0.1, -2\/9, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) be the third derivative of -18*z**2 + 0*z - 1\/12*z**5 + 0*z**4 + 0*z**3 + 3\/20*z**6 + 0. Find the third derivative of m(w) wrt w.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 97135783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -21388 rounded to the nearest 100?\nAnswer: -21400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 4\/39, -1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 576 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = 4*q - 8, 0 = -q - 28*m + 29*m + 8. Which is greater: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 + -2 + 2 + -7 + 11\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001563860097 to five dps.\nAnswer: -0.00156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 994 rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 209308 is divided by 23246?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 425 + 2*h**2 - 425. Let g(x) = 2*x - 171. Determine v(g(n)).\nAnswer: 8*n**2 - 1368*n + 58482","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -105 - -102.45. What is j rounded to one dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 777633 and 192?\nAnswer: 149305536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.31 + 2.31. Which is the third biggest value? (a) x (b) -11 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/3, -102, -1, 1\/77, 5.1, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 6*r + 4. Let u be j(4). Suppose -8 = 2*n - u. Solve f = -f + n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 21\/(-2)*(-580)\/406. Solve 6*y + 84 = -i*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -20 + 25. Suppose p*u = 17*u - 60. Calculate the least common multiple of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + ((-1*sqrt(1573))**2 - sqrt(1573))*4)*-5 + (-3 + -5 + 1 + sqrt(1573))*6 + 2.\nAnswer: -31500 + 286*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -2*v**2 + 19*v - 37. Let g be c(5). Let k(q) = -q**2 + 9*q + 4. Calculate k(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (22\/117)\/((-384)\/398256). Let p = s - -2498\/13. What is the common denominator of p and 67\/92?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 3*t - 1. Let h be u(4). Let a be 0 - 3\/((-3)\/h). Suppose -k + 5*o + 7 = -a, -3*o - 46 = -5*k. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 - (10 - (-5 + 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 2*s - 3. Let d = 36 - 36. Let k be ((-12)\/(-3))\/(d + 1). Let l be w(k). Put 4, l, -4 in decreasing order.\nAnswer: l, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the second derivative of -3*m**6\/10 + m**4\/6 + 6*m. Find the third derivative of b(a) wrt a.\nAnswer: -216*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in seventeen sixths of a minute?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 78980 and 484.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-2\/9)\/u**2)**(-10) assuming u is positive.\nAnswer: u**(200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -22 - 75?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the second derivative of p**4\/6 - 31*p. Let s(d) = -3*d**2 - 3*d**2 + 3*d**2. Calculate s(g(x)).\nAnswer: -12*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 - -42. Let p = -24.5 + k. Which is the nearest to 2\/3? (a) p (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w - 2855069 + 2855069.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j + 5 = 219*c - 214*c, 0 = 3*j - 4*c + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 163, 2.8, -1960?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*l - l. Let g be 0\/(-4) + l - -2. Solve -4*t = -g*t + 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 3*s**2. Let m be (2 - 1)*(3 - 23). Let t be (5\/2)\/(10\/m). Let y(n) = -n. Let i(j) = j. Let l(u) = t*i(u) - 6*y(u). Calculate l(f(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -12276445 - 7*a + 6138229 + 6138216.\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be 20\/2*10\/25. Which is the closest to 0? (a) m (b) 1\/2 (c) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(30)\/(2*sqrt(6) - sqrt(6))*2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**(-1\/6))\/(a\/((a**16\/a)\/a))*a**(6\/11)\/a**(-3\/8) assuming a is positive.\nAnswer: a**(3895\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f = 51 - 24. Suppose -9*t + 3*c + 374 = -4*t, -t - 4*c = -61. Suppose -v = -5*m - t - 10, -154 = -2*v - 2*m. What is the remainder when v is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 64 = -16*f + 15*x - 9*x, -4*f - 507 + 491 = -x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that -2*k**5 + 36*k**4 - 136*k**3 + 68*k**2 + 138*k - 104 = 0.\nAnswer: -1, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000052128 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/((-24)\/9)*2\/(-14)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gw when two letters picked without replacement from ggwwggwd?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/5 of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0 and 0.5888819361494?\nAnswer: 0.5888819361494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 20\/4571761 or -1?\nAnswer: 20\/4571761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + p = -7, 4*x - p = 5 + 8. Suppose -x*g - g - 81000 = 0. What is g rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -o**2 + 2*o**2 - 3*o**2 + (-23*o + 82*o + 29*o)*(-o + 4 - 4).\nAnswer: -90*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 32041506 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19 + -17. Solve z = -d - 3 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**2 + g - 6. Give z(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 4*n + 22. What are the prime factors of b(10)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (5*1)\/(16\/48). What is the greatest common divisor of p and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31786817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -36 + 34. What is the third smallest value in -5\/6, -0.5, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -36, 1, -3, -10 in descending order.\nAnswer: 1, -1, -3, -10, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -8 in 5.7, -2, -4, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 8*h**2 - 6*h - 6. Let y(s) = 7*s**2 - 6*s - 5. Let o(b) = -7*y(b) + 6*z(b). Let p be o(5). Solve 2*d + 14 = -2*j, p*d + 1 = d + j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -18 and -558559.014.\nAnswer: -558577.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {h: 5, b: 6, m: 1, q: 5, x: 2, g: 1}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 61*m**2*n**3 - m**2*n**2 + 40*m**2*n + 7*m*n**3 - 20*m*n**2 - 7*n**3 wrt m?\nAnswer: 122*n**3 - 2*n**2 + 80*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-15)\/3*9\/(-15). Let m(d) = 2*d**2 - 4*d + 3. What is the units digit of m(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 432940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p and 2 g when three letters picked without replacement from cggggggcpggggg.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 68, 85, 120, 179, 268, 393, 560?\nAnswer: 775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13 in 3.9, -5, -14, -4?\nAnswer: 3.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-6)\/(-33) - 1647\/(-1287). What is the third biggest value in 1, -1, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 - 13*k**2 - 6*k + 28. What is a(13)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + 9)\/(7 + 114\/(-18)). Let p = 28 + -12. Let s = p - o. Solve -3*x + 2*b = -3*b, -s*b = -5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4420 to the nearest one hundred.\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9528 or -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 10 = 4*l, -244*w = -245*w - 5*l + 13 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 157.6 rounded to zero decimal places?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -222*g + 2*g + 1100 = 0. Let l = 2314\/7 + -330. Let p = -0.3 + -0.7. Sort -0.5, l, g, p in ascending order.\nAnswer: p, -0.5, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -d (base 16) in base 2?\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.1 + 0.2. Let z = -378 + 377.9. Let u = 7\/15 - 4\/5. Which is the nearest to 0? (a) z (b) u (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 1, 152, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -54, -56, -68, -96, -146, -224, -336, -488?\nAnswer: -686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.3, 68, -2 in descending order.\nAnswer: 68, 4, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -19*a + 3 - 16*a - 10*a + 46*a. Let n(q) = q**3 - q**2 - 45*q + 16. Let k be n(7). Calculate r(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p - 14*p = 4*p. Suppose p = 21*s - 15*s - 24. Solve 2*n = s*n - 6 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3265*a + 1083*a + 1047*a + 1137*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 918600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*g**2 + 9569*g**3 + 21*g**2.\nAnswer: 9569*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 16480 - -19267. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 2152755, 2152704, 2152653?\n\"Answer: -51*v + 2152806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -68 - 2*p**3 + 2*p**2 + 2*p**4 - 8*p + 32 + 36 in the form s*p**4 + l*p**3 + i + q*p**2 + o*p and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, 3, 1.5, 0.1, 480, -1.\nAnswer: -1, 0.1, 1\/4, 1.5, 3, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 80*i - 477 - 67 - 1216. Solve -i*t + 175 = 3*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60*c**2 - 29*c**2 - 31*c**2 - 84*c**3.\nAnswer: -84*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6862 - 6861.4333. Round d to two dps.\nAnswer: 0.57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 106446 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 l = 669 - 609.4. Let z = -59 + l. What is z rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = -v**3 - 6*v**2 - 3*v - 65. Let s be r(-7). Solve -3*u - 9 = 0, 4*u - s*u + 3 = 2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 8 - -18. Let f be (-238)\/(-63) + 2\/9. Suppose f*l - 10 = k. What is the least common multiple of l and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -2 and -47559.\nAnswer: -47561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-180)*(-66)\/(-11).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 0)*(850 + 839 - 430)*(5*t**3 - t**4 - t**4 - 4*t**3).\nAnswer: 7554*t**4 - 3777*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 9827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.07? (a) 2 (b) -5 (c) -13 (d) 0.06 (e) 0.007\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 419, 1789, 4125, 7427, 11695, 16929?\nAnswer: 23129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 - -4. Let a = -110 + 1652\/15. Let r be 35\/30 - ((-12)\/(-18))\/1. Put r, a, i in decreasing order.\nAnswer: r, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + 27 + 0 + -24 + 13?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 126683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*p - 185 + 1935 = 0. Suppose 171*u - p*u = -364. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = 3*g - 24. Solve -2*z + g + 0 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2317 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -49, -67, -55, -13, 59, 161?\n\"Answer: 15*h**2 - 63*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 2 (b) 0 (c) 10 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2258941 is divided by 4438?\nAnswer: 4437","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1027*j*q + j - 148*q - 363 wrt j.\nAnswer: -1027*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Divide 2813439 by 1.\nAnswer: 2813439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1 and -29?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -3*s**5 + 3597*s**4 - 80919*s**3 - 264369*s**2 - 271578*s - 91728 = 0. Calculate s.\nAnswer: -1, 26, 1176","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*p = 936 - 306. Let g(s) = 4*s**2 + 31*s - p*s - 20*s**2. What is g(1)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0007475604616 rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 25 = g - 4*l, 5*l + 17 = g. Let s = 7 + g. Suppose 41 = s*t - 2*q + 3, 0 = -3*q - 9. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2.93 + -3. Let j = 3.93 - c. Let k = 8 - 3. What is the third smallest value in j, -0.2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*o**5*w*y - 3*o**3*w - 24*o**2*y - o - w - 26*y wrt o?\nAnswer: -40*o**3*w*y - 18*o*w - 48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**3 + 16*u**2 + 13*u - 31. Let c be s(15). Let v(j) = 37*j - 389 + c. Determine v(-1).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 264066985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = 67 - 67. Suppose h = -27*g + 33*g - 576. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 7:31 AM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -104*o - 351*o + 234*o + (-1 - 2 + 2)*(2 - 2 + 2*o) to g*o + p and give g.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -5*i**2 - i + 1. Let o(y) = -6*y**2 - y + 1. Let k(w) = 5*j(w) - 4*o(w). Let f(m) be the first derivative of k(m). What is the units digit of f(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 31 = -4*o, -7*j + 2*j - 4*o - 1 = 0. What is the tens digit of (j + 28\/(-8))*-94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 60, 132, 204, 276, 348?\n\"Answer: 72*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-20)\/(-15)*8\/(-112)*-3. Determine r, given that -8\/7*r**2 - 22\/7*r - 12\/7 + g*r**3 = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -10 (b) -32 (c) 40411\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 152*l + 177 = -105*l - 594 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + 10 + -1 + (7 - 12)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -44 - -23 - (-15 - -2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*m = 4*m - 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5.1 - -5. Sort 1, 0.3, l in ascending order.\nAnswer: l, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1325 - 1320 - 1947*u - 1329 + 3974.\nAnswer: -1947*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 1, s: 2, a: 1, h: 3, g: 4, x: 1}. What is prob of picking 1 g and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 206.9 + 1656. Let f = -1962 + h. Let k = f - -107. What is k rounded to 0 dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4 - -1. Let m be -2 - (-4)\/(q\/(-3)). What is the highest common factor of m and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 0, -3, -43, -12 in increasing order.\nAnswer: -43, -12, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-78*d**4 + 89*d**4 + 108*d**4 + (-3 - 1 + 2)*(2*d - d**4 - 2*d))*((2 - 2 + 2)*(1 - 1 - 2) + 2 + 0 + 2 + 2 + 2 - 2).\nAnswer: 242*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) be the first derivative of a**4\/4 + 2*a**3\/3 + a**2 - 199. Let c(w) = 5*w**3 + 11*w**2 + 11*w. Determine 2*c(f) - 11*q(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50*z - 48*z + 3 - 3.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 1323 by -27.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 72505, 144901, 217307, 289723, 362149, 434585?\n\"Answer: 5*m**2 + 72381*m + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -5 + 6 + 9 + (-24 - -1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15 - 3) + 1 - -33 - 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -9*z**2. Let b(y) = 18*y**2. What is -3*b(j) - 5*w(j)?\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 225242903?\nAnswer: 401, 561703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c**3\/c*c)\/c)**2\/(c**1\/c)**(16\/11))**(-40) assuming c is positive.\nAnswer: c**(-240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -41*d**2 + 5*d - 3. Let f(m) = 20*m**2 - 2*m + 1. Determine 9*f(l) + 4*t(l).\nAnswer: 16*l**2 + 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 47 a factor of 485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12222 + -210111?\nAnswer: -1000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) be the first derivative of y**4\/4 - y**3\/3 + 21*y - 50. Give a(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4 (b) -2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5012*t - 4640*t + 8556 = 0 for t.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 152502*y**2 - 304958*y**2 + 152459*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y**2 - 23*y + 18. Let s be a(22). Let b = -2 + 0. Sort b, s, 4.\nAnswer: s, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 161*f - 166*f - 19 + 41 + 2*f**3 + f**4 - 20 to the form b*f**4 + g + q*f + o*f**2 + p*f**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3859780 and 472?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g**(1\/2)*g))**(29\/5)*g\/(g*g**(-4)*g)*g**(4\/3) assuming g is positive.\nAnswer: g**(43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -2*g - 3*g. Let j = -188.68 - -2.68. Let m = j - -187. Which is the closest to g? (a) 5 (b) m (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the third derivative of -y**5\/210 + y**4\/84 + 2*y**3\/7 - 17*y**2. Find u, given that z(u) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16053013.\nAnswer: 821, 19553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 10 + 2)*(-2 - x + 2) + 0 + 4 - 3*x - 3.\nAnswer: -11*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 868.9593 kilometers?\nAnswer: 868959.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 172 = 19. Let l = w - -276. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 + 2*u**2 - 1. Let c be h(-2). Let r = -801 + 801. Sort -11, 5, r, c.\nAnswer: -11, c, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 130.79583 + -5670930?\nAnswer: -5670799.20417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.5, -2, -3\/4, 3\/5, 325.55?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = -5*j - 30, 0 = 4*i - 0*j - 3*j - 40. What is the smallest common multiple of i and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z = 3*h + 1990, 0*h + 2*h - 4*z = -1320. Let p = -464 - h. Let v = -114 - p. Round v to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -136*h + 46*h - 155 + 155. Let a(z) = 6*z**2. Calculate x(a(b)).\nAnswer: -540*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the second derivative of -d**9\/7560 + d**7\/1260 - 11*d**4\/12 - 12*d. Let h(w) be the third derivative of c(w). What is q in h(q) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - 0. Let h = 5.1 - 2.8. Let k = -2.6 + h. What is the closest to 0 in k, 3, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9353 and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 216 + -118. Calculate the highest common factor of d and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -57*u**4 + 24868*u**2 + 24868*u**2 + 11*u - 49737*u**2 to the form d*u**2 + z*u + q + w*u**4 + n*u**3 and give w.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (30 - 21) + (2 - 7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q + 2*i - 3*i - 13 = 0, 4*q - 21 = i. Suppose m + 477 = b + q*b, -4*m = -4*b + 372. Calculate the highest common factor of 32 and b.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (2*15\/(-20))\/((-12)\/40). Suppose 20 - 45 = r*b. Let x(l) = -l**2 - l + 6. Give x(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -51*o + 60*o - 135 = 0. Let u be (6\/9 - 1) + 245\/o. What is the highest common divisor of u and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve l = -4*l + l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11671, -23343, -35015, -46687, -58359, -70031?\nAnswer: -81703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7974.\nAnswer: 2, 3, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 4 != 5350?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i = 27 - -16. Let x = i + -13. Calculate the remainder when x is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 1*(3 + -3 + 5). Solve 0 = 3*o - t*w - 20, -o - 3*o + 25 = -5*w for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 257312866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -163, -667, -1513, -2707, -4255, -6163, -8437?\nAnswer: -11083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 23868 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**2)**(-16))**(9\/2)\/((v**0)**4\/(v\/((v**(-1\/3)*v)\/v*v)*v*v*v*v**(-1))) assuming v is positive.\nAnswer: v**(-425\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (29 - 1) + -3 + (-149 - -138).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 110*v - 462*v + 1954 + 1214 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 - 16*s**2 + 14*s**2 - 87*s + 70*s - 2*s**3 to the form t*s**2 + o + z*s**3 + f*s and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 270 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-1*(-1 + sqrt(252) - sqrt(252)) + -6*-1*sqrt(252))**2.\nAnswer: -9073 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j = 40\/511 + -1\/146. Calculate the common denominator of j and -95\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.9 * 3048\nAnswer: 8839.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 9848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -764 * -0.2.\nAnswer: 152.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -6*z**3 + 49*z**2 + z - 13. Let w(n) = -4*n**3 + 33*n**2 + n - 9. Calculate -5*g(o) + 7*w(o).\nAnswer: 2*o**3 - 14*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1354017\/62 + 21840. Let g = -7\/397 + -18547\/6352. Find the common denominator of g and x.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -996 + 966 - (-3 + 9).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -6 > -4180?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(720) + -2))**2.\nAnswer: -432*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1387 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 w, and 1 q when three letters picked without replacement from {p: 1, k: 1, q: 1, v: 9, a: 1, w: 2}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -3*o**3 - 2*o**2 + 2. Let n be l(-1). Suppose 2*t = -n*p + 44 + 171, -4*p = 3*t - 320. What is the highest common factor of t and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21587 - -8202. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yt when two letters picked without replacement from {y: 8, t: 1, q: 8}?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 199 = 2*q - 99, -459 = -3*q - 3*n. Suppose -m = 3*d - 61, 0 = -3*d + 5 - 2. What is the remainder when q is divided by m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 124\/7 + -358\/21. Let t be ((-8)\/6)\/((-2)\/63). Let f be (-8)\/t*(-3)\/(-2). What is the closest to c in 2\/7, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**3 - 4*r**2 + 3*r + 6. Give i(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81*d + 192 = 87*d. Let b = d + -21. Suppose -5 = -4*g - 3*u + 80, 0 = 4*g - 2*u - 90. What is the highest common divisor of b and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:36 PM and 10:48 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 528 is divided by 160?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be 8\/6*3\/2. Suppose 0*b - 3 = -s + b, 0 = 3*s - l*b - 6. Let j(k) = k**3 - k + 12. What are the prime factors of j(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3780*x - 3774*x = 60 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1297 - 1753 = -19*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 372 and 372?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.59*3.\nAnswer: -1.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the second derivative of 2103*u**5\/20 + u**4 - 8*u**3\/3 - 364*u + 5. Find the third derivative of p(j) wrt j.\nAnswer: 12618","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 30 - 21*z - 2*z**3 + 23*z - 5*z**2 + 5*z**2 - z**2 in the form q*z**2 + c + y*z + p*z**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -147*p + 1801. Calculate s(8).\nAnswer: 625","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + (-1 - 1) + 0 + -2 + -13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 8179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -352, -368, -388, -412, -440?\nAnswer: -472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12*o**2 + o - 2 - 95*o**2 + o**2 to n + y*o + t*o**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let j = -29.4 - -45.1. Let l = -16 + j. What is the third biggest value in 0.4, l, 2\/9?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2815 times 0.4?\nAnswer: -1126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 58203 is divided by 3964.\nAnswer: 2707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = -m**3 + 9*m**2 - 19*m + 4. Let r be a(5). Suppose -3*s = r, 5*l + 2*s - 19 = -0. What is the tens digit of (-4 + l)\/(-3 + 178\/59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - 2.495?\nAnswer: -1.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*s = o - 12, -5*s + 6*o = 4*o - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.3432 + -0.0206. Let c = -0.0774 - h. Let d = 0.3 - 0.2. What is the second biggest value in -4, d, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*h - 5*h = -50. Let z be 1\/(-3)*0 - -22. Let v = z + h. Is 12 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -18 + (123 - 89) - -10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -16 times 0.32\nAnswer: -5.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -d**2 + d - 1. Let x(j) = 147*j**2 - 197 - 126*j - 120 + 528 - 85. Determine -126*q(k) - x(k).\nAnswer: -21*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-43)\/(-15) - 19\/(3420\/(-24)). What is the third derivative of -163*p**4 - 54*p**3 + 108*p**3 + 23*p + p**2 - 54*p**c wrt p?\nAnswer: -3912*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 658.11mm?\nAnswer: 658110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 5*u - 7 = 0, 405 - 374 = -4*v + 5*u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:38 AM and 11:39 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -4634 + 45565?\nAnswer: 40631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 812.6274 millimeters to kilometers.\nAnswer: 0.0008126274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n be (366\/6)\/((-1)\/(-2)). Suppose 17 - n = -5*r. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 557 divide 2473637?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 - 1. Suppose -b - 1 = 5*i - 11, 2*i + 5*b - 4 = o. What is the first derivative of -1 - 2*f - 4*f + i*f wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*s - 1 = -g - 50*s, 17*s - 1 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:42 PM and 5:14 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 66 (b) -3 (c) -0.14 (d) 1\/61 (e) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.04 in 0, -12, -0.1, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1495*o - 332*o - 377*o - 373*o - 342*o.\nAnswer: 71*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -192889, -192892, -192897, -192904, -192913, -192924, -192937?\n\"Answer: -l**2 - 192888","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-5 - 264\/(-45)) + (-4)\/6. Let w(c) be the second derivative of 6*c + 0*c**3 - v*c**4 + 8\/5*c**2 + 0 + 1\/25*c**5. Suppose w(l) = 0. What is l?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4*(-18)\/(-588)*7. What is the closest to 2\/5 in w, 0, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -23*d - 15. Let o be s(-11). Let k = -3073\/13 + o. Calculate the common denominator of 23 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the third derivative of -2*p**4\/3 + 28*p**2 + 2*p. Let d(u) = u. Determine d(n(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.6 + -3.4. Let c = j + 2. What is the closest to -1 in -1, 1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - 12*l + 14. Suppose 3*d - l*j - 105 = 0, d - 3*d = 5*j - 89. List the prime factors of d.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16653 greater than 16651?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -10498048 or -10498036?\nAnswer: -10498048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -179021 - -a?\nAnswer: -179017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -65?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*t**5 - 22*t**4 + 14*t**3 + 22*t**2 - 8*t = 0.\nAnswer: -4, -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = u + 60*u + 7*u + 9 - 8*u. Let y be j(10). Calculate the highest common divisor of 87 and y.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1552 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 26083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44967 is divided by 226.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2865 + -2854. Solve w*z + 678 = 645 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -2, -22, -16, -3 in descending order.\nAnswer: 1, -2, -3, -16, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -0*v + 204. Let j be 0 - (-32)\/(-12)*3*-1. Suppose 10*x = j*x + 70. What is the remainder when v is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1993463?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -h - 12. Let b be k(-5). Is (-1)\/(-7)*-6*b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = i + 9. Suppose -3*f - 2*w = i*w - 2848, 5*f - 4685 = 4*w. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-25283 + 25283 + 480*g**2)*(-2*g**2 + 2*g**2 + g**2) in the form c*g**3 + q + z*g**2 + p*g + t*g**4 and give t.\nAnswer: 480","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 251701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -g**2 + 25*g + 24. Suppose 0 = -2*t - t - 12, -z + 4*t = -28. Does 15 divide b(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 60\/207 + 1\/(-3). Which is bigger: 0 or c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 96261878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (2\/2)\/(7\/14*-17)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4757 is divided by 1287.\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1\/4 (b) -0.17 (c) -7275\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*p + 6*p - 4*p**3 - 2*p**3 - 21*p + 3*p**3 to the form f*p**2 + c*p**3 + t + b*p and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 19\/15610 and 30\/10927.\nAnswer: 109270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -h + 8. Suppose -14*j = 6*j - 60. Let z be (-6)\/27 + 20\/9. Suppose 0*k = -3*k + x + z, -j*x - 6 = 0. Calculate m(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -19\/21, 16\/9 in descending order.\nAnswer: 5, 16\/9, -19\/21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 25*t - 32. Let w be q(-6). Round w to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 8:28 AM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express -23 + 132*x**2 - 2*x - 57*x**2 - 113*x**2 - 3 - 10 in the form p*x + c*x**2 + h and give c.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w - 221 = -3*w - 2*j, -3*w = 4*j - 141. What is the remainder when w is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jijy when four letters picked without replacement from {i: 4, j: 4, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(833) - (-2*(-1 + sqrt(833)) + sqrt(833) + sqrt(833)))**2 - (1*sqrt(17)*-5 + (sqrt(153)\/sqrt(3))\/sqrt(3)).\nAnswer: -24*sqrt(17) + 837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 36 or -20302?\nAnswer: -20302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:18 AM and 2:04 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -337*s - 134*s = 481*s + 74256 for s.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -210 - 8*u + 0*u + 210. Let n(b) = -b**2 - 2*b. Let y(h) = 2*h**2 + 5*h. Let o(d) = 5*n(d) + 2*y(d). Give v(o(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 - 4 = -f, -3*f = g + 2. Which is the biggest value? (a) 2 (b) g (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 94\/5*(-28 - -23). Let n = s - -95. Solve -q + n = -3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16643609.\nAnswer: 16643609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**2 - 7*q - 1. Let m be w(-7). Let d be (-20)\/4 - m - -6. Suppose -d*s + 74 = h, -4*s - 7*h + 152 = -3*h. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (171\/19)\/(-135)*10\/(-4). Which is the nearest to -0.2? (a) f (b) 1 (c) 2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = 4*z**2 - 3725*z - 18676. Give q(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -d + 7. Let p be w(5). Let v(x) = 6*x - 1. Let g(h) = -5*h + 9. Let j(l) = -3. Let o(n) = g(n) + 3*j(n). Determine p*v(y) + 3*o(y).\nAnswer: -3*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-16)\/10 - (-6)\/10. Suppose -4*x - 3*s + 9 = 0, -5*x + 3*s + 2*s = -20. Let z = i + x. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 702 and 2678751.\nAnswer: 69647526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c = 64*c + 10*c - 771120. What are the prime factors of c?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wc when two letters picked without replacement from {o: 7, w: 4, c: 1, d: 6}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (36 - 47) + 1 + (-5 - 8) + 0.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-180)\/135)\/((-1)\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 292 and 1329914.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 317 + 311 = -41*x + 13 for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3884, 7752, 11620, 15488, 19356?\nAnswer: 23224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3783 and 273?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 + 16. Let q(j) = j**2 + 16*j + 2. Let t(b) = -b**2 - 31*b - 5. Let d(p) = c*q(p) + 2*t(p). What is the second derivative of d(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x = 2*s + 5*x - 74, 2*x = -s + 47. Suppose -967 - 368 = -3*b. Let i = -419 + b. Calculate the highest common divisor of i and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16157*q**3*v**3 - 2*q**3*v**2 - 11*q**3 + 66*q*v + q - 16*v wrt v.\nAnswer: -96942*q**3*v - 4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*x - 5*s + 3 + 1, -2*x = 3*s - 2. Let c = x + 6. Suppose j = -5*w + 55, 0 = c*w + 4*j - 30 + 2. What is the remainder when w is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**2. Let k(l) = 93 - 44 + 2*l - 37 - 3*l. What is j(k(n))?\nAnswer: -n**2 + 24*n - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 13 - 12. Let a be (36*z)\/((-3)\/10). What is a rounded to the nearest ten?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-713)\/186 + 4 + 0.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1630342 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 2016 = 22*o - 27*o, -3*m + 1599 = 4*o. Calculate the smallest common multiple of 268 and o.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (21\/57)\/(2\/(-4)). Let h = n - -117\/133. Let a be 9\/36 + 0\/2. What is the second biggest value in 2, a, h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -8172.545 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -11100110000010001101 (base 2) to base 10\nAnswer: -942221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -203222 (base 5) to base 9\nAnswer: -10150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) be the third derivative of -452*m**7\/105 + 35*m**4\/8 - 1026*m**2 + 1. Find the second derivative of r(d) wrt d.\nAnswer: -10848*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l + 3*f = -127, 4*l + f - 125 = 14. Let o = 8 + -1. Let n = l - o. Which is greater: 0 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 135 + -111. Let h = n - 21. Find the first derivative of -17 - 2*k**h - 2*k**3 + 45 - 25 wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 34960864 to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -37982\/3 at most 2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m**5 - 20*m**4 - 68*m**3 - 104*m**2 - 74*m - 20 = 0. What is m?\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*s**3 + 2*s**3 + 2*s**3)*(661*s**2 + 664*s**2 - 1322*s**2 + 1 + 6426*s).\nAnswer: -6*s**5 - 12852*s**4 - 2*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/c**1)**(3\/14)\/(c*c**6*c*c*c**1*c))**48 assuming c is positive.\nAnswer: c**(-528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h + 15 = -h + 5*i, 4*h + 2*i = 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 3*x**2 + 2*x - 2. Let q(l) = -l**2 - l + 1. Give -8*q(w) - 3*r(w).\nAnswer: -w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be -5 + 1 - ((-14)\/(-6) - 7). Which is bigger: -136 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 1906, 1914, 1922, 1930?\n\"Answer: 8*s + 1898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*u + 5*u = 1. Let a(m) = -3*m - 6. Let c(o) = 6*o + 12. Let b(l) = 7*a(l) + 3*c(l). Let j(x) = x + 0 + 0 + 1. Give u*b(q) - 5*j(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/2)\/3*11460\/(-1719)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve z - 3*y = -6, 4*z - y - 282783 = -282774 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 218, 296, 374?\n\"Answer: 78*o + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4260, 5549, 7698, 10707?\nAnswer: 14576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1c - -1?\nAnswer: -1b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(11) + 5)*-2 - -2*sqrt(77)\/(sqrt(7)*-4))**2.\nAnswer: 680*sqrt(11) + 9579\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 12465 to the power of 1\/2, to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 14*y + 8*y + 6*y + 11 - 6*y. What is the units digit of r(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -6 + dca?\nAnswer: dc4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find x such that 4*x**4 - 580*x**3 + 5356*x**2 + 5940*x = 0.\nAnswer: -1, 0, 11, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 33.5, -0.4, 2\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -3 * -273155.\nAnswer: 819465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.18 and -61634?\nAnswer: 61633.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*b = -21*b + 2*g - g + 334, -7*b - g = 34 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 38 and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -579*(4\/(-15))\/(12\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**3 + n + 1. Let o(y) = 2*y**3 + y**2 - 3*y + 2. Let h(t) = o(t) + v(t). Let c = 357 - 355. Suppose 5*j + c = k, 2*j = k - 0*j + 1. Calculate h(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s**(1\/6))\/(s*(s**(6\/11)*s)\/s*s*s))\/(s**10*s**(-2)*s) assuming s is positive.\nAnswer: s**(-751\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i**13*i\/(i\/i**3*i) assuming i is positive.\nAnswer: i**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of -42808 and -23.2.\nAnswer: 993145.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 120*a - 52*a = 390 - 390 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 98856 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y*y\/y**(-16))*(y*y\/y**(-2\/3))\/y)\/(y\/((y*y**(-13)*y)\/y*y)*(y\/(y*y\/y**10*y*y*y*y))\/y))**(-38) assuming y is positive.\nAnswer: y**(3572\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = d**2 + 9*d + 3. Let x = -13 + 4. Let q be y(x). Suppose 0 = q*f - 2*f - 701. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1210 + 6455?\nAnswer: 7665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 11 - -a50?\nAnswer: a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 43 + -43.0000034. What is a rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.5 - 0.1. Let u = 8.3 - 6.7. Let s = l + u. Which is the nearest to s? (a) -5 (b) 0.1 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.11, 0.1, -3, -5, -224.\nAnswer: -224, -5, -3, -0.11, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 4) to base 8\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 73 (base 15) to base 13.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = c**3 + 1 + 2 - c - 2*c**2 + 2. Let r be (96\/80)\/((-6)\/(-20)). What are the prime factors of f(r)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -120*r + 325. Calculate p(3).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence eww when three letters picked without replacement from ewwe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -2 - -2.397144\nAnswer: 0.397144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 0)*(-6394616 + 6394616 + 5661*u).\nAnswer: -11322*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**1)**(2\/73)\/(o*((o**1\/o)\/o)\/o*o)**(1\/13))\/((o*(o\/o**(-1\/4))\/o*o)**(1\/5)*(o**(-4\/7)\/o)\/(o*(o\/o**2)\/o)) assuming o is positive.\nAnswer: o**(1801\/10220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(63) + -2*sqrt(189)\/sqrt(3) + sqrt(9072)*-1)\/(-6*(sqrt(36)\/(sqrt(4)*-3) + sqrt(9))) + -3.\nAnswer: -3 + 13*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = -4*t**2 + 2*t - 3. Let r(j) = -j**2 + 1. Let m(h) = 3*r(h) + z(h). Find the second derivative of m(w) wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 + 4 + (-11 - -9) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be -6 + 9 - (6 - 163). Calculate the highest common factor of j and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 271 + -403. Let v = x + 142. Solve 5*g - v = 2*t, -3*g + 6*t + 20 = 2*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24181374 divided by 6?\nAnswer: -4030229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/19 (b) -0.3 (c) -1 (d) 2231.6 (e) 0.09\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1358 is divided by 638.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 287*p - 299*p + 72 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**3 + 4*n**2 - 7*n - 3. Is g(-5) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36863683 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**2 + 5*t + 12. Let n be a(12). Let w = n - -77. What is the remainder when 34 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-14355)\/1155)\/(9\/21)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.1 (b) 90 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5308 is divided by 404.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -2\/11, -1\/3, -41435\/569?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-1)\/3)\/(-1) - 0. Which is greater: u or -8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 7 + -5. Suppose u + 1 = m. Suppose -28 = -2*z - 0*z - 3*f, m*z - 31 = f. List the prime factors of z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 79 - -21. Let h = 424 - w. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z and 1 j when three letters picked without replacement from hddjdzppzzhppdzphdz.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 228 + -140. Let k = l - 143. Let b = -55.023 - k. Round b to 2 decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*p - 7*p + 3*l + 8, -4*p = -l for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -513267 = 44*p - 47*p. Let u(v) = v + 171089 - p. Let s(w) be the second derivative of w**4\/2 - w**3 + w. Give u(s(o)).\nAnswer: 6*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 10431 - 7711. Calculate the greatest common factor of y and 960.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32\/(27\/(1647\/61))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**3 - o**2 + o + 2. Let b(i) = i**3 + 2*i**2 - 26*i + 133. Let z(r) = -b(r) - 2*j(r). What is the derivative of z(t) wrt t?\nAnswer: -9*t**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3679364 divided by -2?\nAnswer: -1839682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that 5*u**5\/2 + 101*u**4 - 792*u**3 + 1745*u**2 - 3061*u\/2 + 474 = 0.\nAnswer: -237\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 195 = -5*c, -2*c + h = -h - 78. Let f = 42 - c. Solve f*q + 4 = -5 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = q**3 + 3*q - 6. Let z = 6 - 5. Let o = 5 - z. Does 14 divide m(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.785 + -38.085. What is d rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 2 z when three letters picked without replacement from {z: 2, a: 4, g: 6, f: 1}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, c: 4, k: 3, h: 3}. Give prob of sequence ckh.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*i + 8. Suppose -5*n - 1 + 15 = 2*y, -12 = -n - 5*y. Is i smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.018 + 0.382. Let a = -1 + 1.5. What is the closest to 1 in n, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) be the first derivative of -21*q**2\/2 + 15*q + 52. Let p(o) = 2*o + o - 2 + 0. Calculate -2*i(k) - 15*p(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -0.07508489 rounded to three dps?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - 9 = 1, 0 = 3*k - 2*u - 8579. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = d + 4*c, -2*d - 3*c + 8 = -0*d. Let g(u) be the third derivative of -1\/6*u**3 - 1\/12*u**d - 2*u**2 + 0 + 0*u. What is g(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 22 - 1000014?\nAnswer: -666662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 10010101000000110111 (base 2) to base 13\nAnswer: 184a79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -39\/24590 and -17\/9.\nAnswer: 221310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1722014*w**5 + 291768*w**2?\nAnswer: -103320840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -5 + 8. Let h be (1\/2)\/(1\/6). Suppose -n + 3*i + 47997 = -l*n, 3*i = h. Round n to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -568 = -3*v - 2*w - 186, 0 = 3*v + w - 380. Let x be (-8)\/v - (-14)\/49. Sort -2, 4, x in decreasing order.\nAnswer: 4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 914933213?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 711 is divided by 51?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 27*x**2. Let s(n) be the third derivative of n**8\/5040 + 4*n**5\/5 + 28*n**2 - 1. Let c(k) be the third derivative of s(k). Give u(c(t)).\nAnswer: 432*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4207471880.\nAnswer: 2, 5, 23, 1471, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 1007192, 2, 0 in descending order.\nAnswer: 1007192, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4322 > 4305?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, -5, 38461, 6 in descending order.\nAnswer: 38461, 8, 6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -504, -867, -1852, -3771, -6936, -11659?\n\"Answer: -52*p**3 + p**2 - 2*p - 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/4*g**3 + 2 - 1\/2*g - 5\/4*g**2.\nAnswer: -(g - 1)*(g + 2)*(g + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 14 = 2*x. Suppose x*d - 4 = 0, 2*f = -3*d - 63 + 177. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.079 - 68.079. Let j = -67.995 - a. Is j != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.057 * 14.0661.\nAnswer: 0.8017677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express 0*i - 25*i**4 + 24*i**4 - 19*i - 2*i**2 as c + w*i**3 + t*i**2 + m*i + s*i**4 and give m.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 747 at most as big as -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3 - -5. Find the third derivative of -s*j**2 + 3*j**2 + 3*j**2 + 2*j**4 + 3*j**4 wrt j.\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -16 + 12. Calculate the common denominator of 74\/3 and 329\/49 - v\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + ((sqrt(350)*2)\/sqrt(10)*3)\/(sqrt(320) - -1*sqrt(320)*-5))**2.\nAnswer: 63\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 408039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 15 = 94. Let l = v + 85. Calculate the remainder when 17 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 111 + -207. Let a = 95 + k. What is the closest to 2\/3 in 3, -3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 b, 1 x, and 2 g when four letters picked without replacement from {l: 3, g: 3, x: 1, b: 1, a: 1, u: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 470 minutes after 9:06 AM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) be the third derivative of 0*n + 7*n**2 - 1\/24*n**4 + 0*n**3 + 0. Let l(w) = -6*w. Determine c(l(a)).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4830, 4828, 4818, 4794, 4750, 4680, 4578, 4438?\nAnswer: 4254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 265 minutes after 11:04 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 404253140?\nAnswer: 2, 5, 757, 26701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k + o = 13, 214*k - 216*k + 16 = -3*o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1314 - 1300. Solve -3*h + g*h = 55 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 4*d**3 + 3*d**2 + 3. Let v be 1 + -4 - (-1 - 0). Let a(g) = -7*g**3 + 0 + 1 - g**2 + 2*g**2 + 8*g**3. What is v*x(j) + 6*a(j)?\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c be 150\/175 + 0 + (-1)\/(-7). Which is smaller: -40 or c?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**2 + 5*t - 2. Let l be x(-4). Let h = -5 - l. Is h bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 13 + -15. List the prime factors of 0 - 2\/i*50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -2, 0.1, 3, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (2 - (10 + -3)) + 3. Let i = -0.23 - -0.13. Which is the third smallest value? (a) -1 (b) v (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -35*p**3 - p**2 + p + 1. Let g = 4 - 3. Suppose 0 = -2*u + u - g. Is q(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -74, -124, -280, -596, -1126, -1924, -3044, -4540?\n\"Answer: -9*q**3 + q**2 + 10*q - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xl when two letters picked without replacement from llllllxllllllllllxll?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15308910 divided by 3.\nAnswer: 5102970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = -5*r**2 - 3*r. Let h(a) = -6*a**2 - 4*a. Let v = 166 - 169. Determine v*h(s) + 4*u(s).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -1 + -6 + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**3 - 22*a + 10. Suppose 4*t + 4*w = 15 - 23, 0 = -4*t + 4*w + 40. Determine d(t).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 25649 is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6291 and 6.\nAnswer: 12582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ncsyscfsyyc. What is prob of picking 1 y and 3 s?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 137*o**4 - 55*o**2*z - 41335*o*z + o wrt o.\nAnswer: 1644*o**2 - 110*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-20)\/3*3\/12. Suppose 5*k = 19 + 6. Which is the closest to 0? (a) z (b) 0.5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -16\/11*o**3 + 2\/11*o**4 + 16\/11*o + 0 - 2\/11*o**2.\nAnswer: 2*o*(o - 8)*(o - 1)*(o + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-g**2 + 99 + 11 + g**3 - 111)*(-1 + 3*g + 1) as o*g**4 + i*g + z + u*g**2 + s*g**3 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 9563 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 46 = -34. Let h be (1 - 0)\/(15\/n). Let a = h + -11\/2. Which is smaller: a or 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 14 + 30 + 10 + 25 - 17131755*o**2 + 17131757*o**2 - 120*o to j*o + t*o**2 + s and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*n + 233 = 2*y + 207, -4*n + 5*y + 11 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = -129*z - 1860. What is s(-13)?\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 1, 1\/6, 0.3 in decreasing order.\nAnswer: 1, 0.3, 2\/7, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11649096 to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 6044 + 7956 = -250*u for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -12.8 take away 55.5?\nAnswer: -68.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 127*j - 15947. Calculate o(128).\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 21*h = 34. Let b(n) = -16*n - 4. Let t be b(h). Calculate the highest common factor of t and 448.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u**2 - u - 309. Let b be w(0). Find the common denominator of -17\/4 and b\/35 - (-4)\/10.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 4211, 4213, 4215, 4217?\n\"Answer: 2*c + 4209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the third derivative of -t**8\/336 + t**7\/280 + 5*t**6\/96 + t**5\/40 - 13*t**2 - 10. Suppose o(c) = 0. Calculate c.\nAnswer: -2, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k + 4*k - k + 3*k.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = 5*l + 144. Let i = l - -39. Suppose j + 18 = 3*j + i*y, 4*y = -2*j + 10. Solve -7*p + j = 3*c - 2*p, -c - p + 1 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from irrrir. Give prob of picking 4 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11523 + -1696. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a - 21 = 2*o - 3, 4*a - 20 = 2*o. What is the least common multiple of 8\/6 - (-2)\/o and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m + 6 = 0, 2*p - 2*m = 2*m + 12. Let r = 1 - -3. Solve r*a - 4*z + 32 = p, 3*a - 3*z + 19 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 16 = -5*f. Put -3\/7, f, 3 in ascending order.\nAnswer: -3\/7, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = 121*z - 11. What is the tens digit of p(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 10*c**2 - 15*c + 12. Let u(x) = -21*x**2 + 35*x - 21. Let k(o) = -7*g(o) - 3*u(o). Let f(n) = 3*n + 3*n - 4*n. Calculate k(f(m)).\nAnswer: -28*m**2 - 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f**2 - f - 1. Let o(t) = 3*t**2 + 1 - 1 + t. Let w be (-25)\/(-4) + -6*(-1)\/(-24). Let d(c) = w*v(c) - 3*o(c). Factor d(z).\nAnswer: -3*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -38*f**4 - 4*f**2 + 47*f**4 - 10*f + 67*f**4 + 2*f**2 wrt f.\nAnswer: 1824*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.9713162nm in centimeters?\nAnswer: 0.00000009713162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 129 divide 12188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d + 4*d - 30. Let j be 158\/d + (-11)\/(-55). Solve 3*z - 4*z + o = -2, 5*z + o = j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -47*g + 13*g. Let x(r) = 1 - r - 5 - 10. Give x(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does -154 = 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -0.015, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 76 and 44?\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4019664*h**4 + 13099132*h**2?\nAnswer: 96471936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*z = 19*z - 32*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4.4 - -6. Let h = g - -1.4. Sort -3, h, 1\/8 in descending order.\nAnswer: h, 1\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 3*n + 6. Suppose 5 = 2*i - 5*f, 5*i - n = f + 2*f. Solve 3*u - z + 1 = i, 4 = -2*u + 2*z - 2 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -279*f + 281*f + 57 = 5*d, -5*f = -4*d + 32. What is the remainder when 525 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = 2*k + 1286, 0 = -17*k + 12*k + 5*g - 3225. Let b = k + 645. Solve -2*c - c + 2*s = -7, 0 = b*c + 4*s - 16 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -5 - -75?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -143 + 245. Suppose -b = 11*h - 17*h. What are the prime factors of h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -34110, -68955, -103800?\n\"Answer: -34845*x + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0006740677 rounded to five decimal places?\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 25924318 to the nearest integer?\nAnswer: 5092","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18 + -14. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-52*a + 40*a - 50*a)*(-a + a - a**3).\nAnswer: 62*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 490326752?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -2*t + g + 41, 5*t + 2*g = 55. Solve 0 = -4*u - 1 + t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 + 18*b**2 + b - 6. Let i be d(18). Suppose -i*g = -7*g - 40. Solve -j = -3*j + g for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 838802*n**2 + 878677*n.\nAnswer: 1677604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -25.87263 - 8\nAnswer: -33.87263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:22 AM and 12:15 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*c**4\/4 - 15*c**3 + 96*c**2 - 192*c.\nAnswer: 3*c*(c - 8)**2*(c - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.3 + 20.317.\nAnswer: 20.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -3\/35?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 346 is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = 69 + -129. Let y = d + 29. Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -335*c + 167*c - 115 + 115 + 200*c**2 + 168*c.\nAnswer: 200*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -2 greater than 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*z - 625 = -22*z + 3*j, -z = 4*j - 597. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes after 2:44 AM?\nAnswer: 1:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/55 and -109\/40?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10607329, 10607325, 10607309, 10607275, 10607217, 10607129, 10607005, 10606839?\nAnswer: 10606625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -600547*a + 600571*a + 264 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -18*t**2 - 10*t + 83. Let r(y) = -9*y**2 - 7*y + 39. Let d(h) = -6*c(h) + 13*r(h). Let b(o) = 5*o**2 + 16*o - 5. What is 11*b(u) + 6*d(u)?\nAnswer: u**2 - 10*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 384 + -246. What is the greatest common divisor of g and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (115280\/(-20174))\/((2\/28*2)\/1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 14\/4*(-392)\/(-343). Suppose -38 + 218 = -5*p. Does 19 divide (246\/o)\/((-27)\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-24)\/12 - 24\/(-10). What is the fourth biggest value in k, -5, 1\/4, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5195\/3 - -1731. Let y = -0.4 - -0.2. Let c = 4.8 - y. Sort -4, i, c in descending order.\nAnswer: c, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 11, f: 3}. What is prob of picking 1 f and 1 p?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -49 (base 11) in base 9?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 59 = -25*t - 1091. Let h(z) = 7*z**2 - 308*z - 17. Is h(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2068 = -0*j - 22*j. Calculate the highest common divisor of 423 and j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*(q**(-3\/22)*q)\/q*q)**(-2\/71)*q**(-14)\/q**27 assuming q is positive.\nAnswer: q**(-32062\/781)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15 - -1. Let d = 2008 + -1988. Calculate the smallest common multiple of d and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 278 + (1 - 1) + (105 - 100). Solve m = 7*x + 325 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kkckkkrkrkc. Give prob of sequence krkk.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(12)\/(sqrt(216)*1 + sqrt(216) + sqrt(216)) + (((sqrt(18) - sqrt(2))*1 + 5 + sqrt(2)*-2 + sqrt(2))*3)**2)*2.\nAnswer: 1621*sqrt(2)\/9 + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8409383?\nAnswer: 8409383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*n + 1 = 2*q, 8167784 - 8167859 = 2*n - 5*q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 + 2 + 1)*(9*l + l + 9*l)*(8*l**4 - 6*l**4 + 3*l**4).\nAnswer: -380*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 31 and 91109?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 201186598*y**5 - 514*y**2 - 12133*y.\nAnswer: 12071195880*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 5393550025 to the power of 1\/2, to the nearest integer?\nAnswer: 73441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -o - 0*o - 3*d - 5 - 4, 3*o + 3 = 3*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.729941565 - -0.215044125. Let j = -0.945 + r. What is j rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -80, 2 in increasing order.\nAnswer: -80, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -767, -769, -771?\n\"Answer: -2*z - 765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 - 930?\nAnswer: -926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 277 - 299. Let g = -1\/49 + 107\/441. What is the third smallest value in g, 1, -1\/8, o?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 174 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -243*z**2 - 144038*z + 144038*z - 1721*z**2 to the form x*z + n + q*z**2 and give q.\nAnswer: -1964","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Does 6\/91 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 19*n - 17*n - 3.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be 3*(3 - (-1)\/(-3)). Let r = u + -3. Suppose 3*z = -r*b + 15, -6 = -b - b - 5*z. Solve 2*q + w = -6, -b*q - 4*w - 20 = q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 - -818?\nAnswer: 822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1377 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: 2 divided by -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -110, -108, -106, -104, -102, -100?\n\"Answer: 2*l - 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-3\/2))\/w**2*(w**(-3))**(3\/37) assuming w is positive.\nAnswer: w**(-203\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = o**2 - 13*o - 22. Let q be w(15). Suppose -19*g + 20*g = 2, t + 10 = 5*g. Solve -s - s - q = t for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -14971890089 - 0.16.\nAnswer: -14971890089.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**2 + z + 1. Let l(s) = s**4 + s**3 - 5*s**2 + 3*s + 4. Let b = -11 - -8. Let n(x) = b*l(x) + 12*r(x). Determine u so that n(u) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 40.979 - -0.021. Let s = 40.999976 - m. What is s rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 140 and 36?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*c*f**3 - 89*c*f**2 + c*f - 19*f**3 wrt f.\nAnswer: -36*c - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 20*i**2 + 11*i. Let h(n) = 7*n**2 + 4*n. Let t = -3 - 1. Calculate t*c(b) + 11*h(b).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -781430086*z + 390715059*z + 390715002*z.\nAnswer: -25*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 12071 (base 10) to base 9.\nAnswer: 17502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the third derivative of -294*r**3 - 1\/15*r**5 - 8*r**2 + 7*r**4 + 6*r + 0. Suppose z(p) = 0. Calculate p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1012887579*a**6 + 1097*a**2 + 471*a + 16 wrt a.\nAnswer: 121546509480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1055289 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -30342130 (base 6) in base 12?\nAnswer: -35a946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 15.059 - 14.6. What is i rounded to 2 decimal places?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -10*(5\/(-1) + 7). Let v = -18 - y. Let u(d) = 25*d**3 + d**2 + 2*d. What is the tens digit of u(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -93 or -90?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 224525 and 84.\nAnswer: 2694300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*j - 1270*q - 26 = -1266*q, 164 = -2*j - 32*q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -0.02, -33, 1\/2, -0.04, 2\/7, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + (-4 - 16 - -6) + -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -102311122 - 30?\nAnswer: -102311212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11800621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -19*r - 126. Determine t(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + 4*2*((sqrt(108)*-2)**2 + -2).\nAnswer: 3443","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -462 * 94\nAnswer: -43428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1190085117 is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x = -8 + 123. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 4*n. Let t be b(1). Suppose -r - 10 = -t*u + 29, -u = 3*r. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1087 - 7*u**3 + 74*u**2 + 451 - 1044 + 2570 wrt u.\nAnswer: -21*u**2 + 148*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 271*n - 134*n - 78*n as h*n + r and give h.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z and 2 j when four letters picked without replacement from jzzzjzzzzzzz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3*(-44)\/(-48) + -3. What is the second smallest value in -1, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (6 - (6 + 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 324*w**4 - 6336*w**3 + 28240*w**2 + 13504*w + 1536 = 0.\nAnswer: -2\/9, 8, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**3 - 6*q**2 - q + 5. Let w(r) = -r + 14. Let g be w(8). Determine c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -206, -207, -206, -203, -198, -191?\n\"Answer: j**2 - 4*j - 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 877368.2m?\nAnswer: 87736820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, x: 3, o: 1, c: 1, k: 2, d: 1}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 9\/10 of a milligram in micrograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1146 divided by 6\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -85935*l**2 + 7*l + 158671.\nAnswer: -171870*l + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -30 - (-10 + 14 + -24).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 34*w + 2 in the form n*w + h and give n.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6965259, 6965270, 6965285, 6965304, 6965327, 6965354?\nAnswer: 6965385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -50049 divided by 201\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 - ((-4 - 1) + 9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 320 (base 7) in base 5?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q - 2*q + 18 = 2*d, -2*d + 6 = 4*q. Suppose -l - 23 = -5*k - d, 17 = 5*k - 2*l. What is x in 0*x**2 + 0*x - 2\/3*x**5 + 0 + 2\/3*x**k + 0*x**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -177074, -354146, -531216, -708284, -885350, -1062414?\nAnswer: -1239476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be -2 - -15 - 4836\/390. What is the second smallest value in n, 0.12, -2\/19?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oho when three letters picked without replacement from {o: 5, t: 3, h: 3}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = -35*w + 37*w - 6, -w + 1 = -2*z. Let i(q) = -281 - 276 - 3*q**2 + q**z + 557. Let b(c) = 2*c**2 - 11. Give b(i(y)).\nAnswer: 8*y**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c = -2*c - 4*v - 48, -2*v + 96 = 5*c. Calculate the highest common divisor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0 + -3. Let u = b + 6. Let p = 3 - u. Solve 5*f + 15 = -p, 3*t + 3 = -5*f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 1, 21.9, 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -63*y + 65*y + 87*y.\nAnswer: 89*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v**3 + 3*v**2 + 3*v - 3. Suppose -5*a - 4*t + 35 = 0, -3*t + 32 = 4*a + 5. List the prime factors of z(a).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 250, 502, 754, 1006?\n\"Answer: 252*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1.046 or -166?\nAnswer: -1.046","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 450*t - 452*t + 5*l - 26, -5*t - 4*l = -l + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-25)\/(-75))\/(3\/(-54)). Sort -7, -3\/5, k in descending order.\nAnswer: -3\/5, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-15)\/(-6))\/5)\/(28\/98).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2709 + 2761. Sort 0.2, 2\/13, -3, n in ascending order.\nAnswer: -3, 2\/13, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 38 - 34 = 0. Suppose -g + 5 = 3*s, v*s = 2*g - 45 - 15. Solve g = 5*a - 3*r, r = -2*a - r + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**3 - 12*n**2 + n - 8. Let g be f(12). Let v be (-2)\/(g*(-1)\/1). What is the biggest value in v, -0.1, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/7, -0.74, -2, 12, -1\/3 in descending order.\nAnswer: 12, -1\/7, -1\/3, -0.74, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/63)\/(2\/(-12)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q be (0 - 1)\/2*2. Let f(y) = y**2 - 1. Let s be f(q). Let k = 32 - 16. Solve 0*b + 4*b + k = s for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*sqrt(114)*1)\/(sqrt(294) - 1*sqrt(294) - sqrt(294) - sqrt(294)) + 0)**2 + 1.\nAnswer: 671\/196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 266\/101, -20, 27 in descending order.\nAnswer: 27, 266\/101, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 82*g - 3 = 83*g - 2*b, -2*g = -b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 13224 and 1140?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -4*v + 3. Let o(q) = -q + 96. What is the remainder when o(54) is divided by d(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**2 - 16*k - 24. Let c = 20 + -34. Let g be f(c). Solve -m + 10 = g*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of c**4 - 5*c**3 - 463*c**2 - 408*c + 281398997 wrt c?\nAnswer: 4*c**3 - 15*c**2 - 926*c - 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -198 - 384 = -3*f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(130)*1 + sqrt(130) - sqrt(130)))\/(-1*sqrt(640)) + ((sqrt(1573) + -3)**2 + 1)*2.\nAnswer: -263*sqrt(13)\/2 + 3166","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/4)\/(-4)*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*w + 36 = -12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*q + 753 = 1761. What is the remainder when q is divided by 20?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 2 x when three letters picked without replacement from kkkxsxkxkukkxkxx?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -3.7016 rounded to 1 dp?\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = n**3 - 4*n**2 - 13*n + 12. What is the remainder when 21 is divided by m(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*s + 2*s + 3*h - 17 = 0, s - h + 3 = 0. Sort s, 3, 0.\nAnswer: s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 125 - -1052. Find the common denominator of 1\/2*r\/55 and 10\/3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + 1 + 7 + -5 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 70*j - 9105. Let z be i(130). Put 0, -10, -13, z in ascending order.\nAnswer: -13, -10, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes before 6:25 AM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74090 is divided by 229?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 2*w**2 - 2*w + 3. Let p(m) = m**2 - m + 1. Let d(y) = -2*n(y) + 5*p(y). Let t be d(-1). Which is the biggest value? (a) t (b) 2\/15 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2128 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*b + 261 = 19 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*y + 3*y + 3*s - 54, 5*y = 2*s + 90. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 5*c + 4. Let b = 1 - -1. Let m be -2*(14\/(-4) + b). Solve -n + m = -c for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3e9 (base 16) to base 8.\nAnswer: 1751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 12*w - 7. Let i = 31 + -26. What is the tens digit of s(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*g - 190 = 15*g - 26*g for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 22 - 6 - 2*y + 0 - 3*y**4 - 6 to m + z*y + l*y**2 + i*y**4 + a*y**3 and give m.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4.6 - -5. Let p = -463 - -463. Which is the second biggest value? (a) -0.05 (b) p (c) 1\/9 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -4136\nAnswer: 1\/2068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 10*h**4 + 10*h**3 + 2*h**2 - 396*h wrt h.\nAnswer: 240*h + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) be the third derivative of -b**8\/84 + 2*b**6\/15 - 2*b**5\/15 - b**4\/2 + 4*b**3\/3 - 6*b**2. Let f(c) = 0. Calculate c.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5*(-1 - -45 - (-5 + 6)). Let g = t - 125. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 11909 (c) 0.3 (d) 0.4 (e) -1 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19589 is divided by 751.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -6 - -18. Let x = -3 + i. Suppose 587 = 4*f - x. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -85, -72, -49, -10, 51, 140?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-26)\/130)\/(10\/225)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1 - 99b?\nAnswer: -99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 2 (b) -0.4 (c) 5 (d) -7 (e) 6 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) be the first derivative of w**4\/4 + 34*w**3\/3 + 190*w**2 + 1400*w + 838. Factor o(i).\nAnswer: (i + 10)**2*(i + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 33134191, 33134194, 33134199, 33134206, 33134215, 33134226, 33134239?\nAnswer: 33134254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -73642*t + 47345 wrt t.\nAnswer: -73642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2589232998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 39168673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Are -5092425 and -5092425 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 14816198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**2 + 14*s - 39. Let r be c(-18). Let j = -31 + r. Calculate the least common multiple of 86 and j.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = -10*o. Suppose o = -2*d + d + 3. Solve 0 = -t + d*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 36*w + 69*w = 74*w + 1643 + 217 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, r: 4, d: 1, s: 2, p: 5}. Give prob of picking 2 s and 1 p.\nAnswer: 5\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 355 - 250 = 7*d. Solve 79 = -32*m + d for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -13623619.04 and 0.0002.\nAnswer: -13623619.0398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a + 907 = 130. Suppose 0 = -11*y - 1 + a. Suppose 3097 = y*v - 2253. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i - 2 = -i. What is the smallest common multiple of (-10 - -9) + 2 + 9 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11204726.\nAnswer: 2, 13, 23, 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 24, -4, -57, 3, 2 in ascending order.\nAnswer: -57, -4, 2, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -147681500 to the nearest one hundred thousand.\nAnswer: -147700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 7123, 7209, 7351, 7543, 7779, 8053?\n\"Answer: -w**3 + 34*w**2 - 9*w + 7099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 95*i**4 + 4*i**2 - 63*i?\nAnswer: 1140*i**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (7 - (-272)\/(-80))\/(16\/(-10)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 57574272 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - -3 - (0 + -2 + -3) - (2287 + -2330).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 2\/3 (b) -0.141 (c) -46591 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -679, -599, -533, -487, -467, -479, -529, -623?\nAnswer: -767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of ((-12)\/(-6)*1)\/(1\/3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2 - (1 + -3 + 3). Let c(g) = i - 5 + 7 + 6*g + 6. What are the prime factors of c(5)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n - 7*n**2 + 5*n - 6*n + 0*n**2.\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express 3601*m - 3602*m + 17*m**4 + 4 - 6 + m**2 + 17*m**3 as z*m**3 + g*m**2 + t*m**4 + u*m + v and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 732 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 8200 is divided by 38.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -18 = q + 4*f, -7*q + 16*q = f + 23 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 - 0\/(-1))*(-1 + -2). Suppose -b + o = -0*b. Find the first derivative of -17 + 0 + 8 - 5*a**b wrt a.\nAnswer: -15*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = s - 5*s. Calculate the remainder when 44 is divided by (-1)\/((-1)\/23) + s.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84 = -5*t + 4*w, 5*t - 86 = -3*w - 9. Let h = 0 + t. Suppose 0 = 2*v - 0*v - h. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 1556 (base 7) to base 6\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 233.1232ml in litres?\nAnswer: 0.2331232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 9, 3, 2, 4, 11 in decreasing order.\nAnswer: 11, 9, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + -21 + 25 - (145 - 190).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/(s\/(s\/(s*s**(-6)))*s))\/s**0)\/(s**(2\/5)\/((s\/s**(3\/5))\/s))*(s\/(s*s**6*s)*s\/s**(2\/7))\/(s\/(s*(s*s**(-6))\/s*s*s)*s*s**(2\/9)\/s*s) assuming s is positive.\nAnswer: s**(-473\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 37481, 74960, 112439, 149918, 187397?\n\"Answer: 37479*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000479131542 to five dps.\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1072, 1.7 in decreasing order.\nAnswer: 1072, 1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0876582 centimeters in micrometers?\nAnswer: 876.582","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/(-1))\/((-16)\/((-32)\/4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -83 divided by -83.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vaa when three letters picked without replacement from {a: 4, t: 4, v: 4, q: 1, o: 1, j: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/i**(10\/3)*i**(19\/3))\/(i*(i*i\/(((i**(-1)*i)\/i)\/i))\/i*i**(14\/5)\/i) assuming i is positive.\nAnswer: i**(-9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 4*q**2. Let a(t) = 51 - 30 - 21 - 2*t. Determine k(a(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = -215\/532 - -9\/76. Let z = -91 - -636\/7. Which is the smallest value? (a) f (b) 8 (c) z (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 19241 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 7 = 5*j + 40, 5*h + 2*j - 74 = 0. What is the greatest common factor of 80 and h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = 7*r - 24. Let a(i) = i**2 + i - 1. Let n(d) = 13*d**3 + 3*d**2 + 24*d - 3. Let t(z) = r*a(z) - n(z). What is the second derivative of t(s) wrt s?\nAnswer: -78*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yyygyyaggyggygdgayd. Give prob of sequence ydyy.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 16*s + 245. Give h(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 999 and 43746210.\nAnswer: 43746210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.0084, 0.1, 1, 0.4, 2?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -11937 divided by 10?\nAnswer: -11937\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 5528 divided by 28\nAnswer: 1382\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 510 (base 10) to base 7.\nAnswer: 1326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f**2 - 1229280*f = 0.\nAnswer: 0, 245856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 697, 1388, 2061, 2704, 3305, 3852?\nAnswer: 4333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*d**2 + 10 + 15 - 7 to p + l*d**2 + q*d and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h - 162 = -2*y - 63, 0 = -4*y + h + 177. Which is greater: y or 179\/4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1056949 is divided by 139?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y*(y\/(y*((y*y\/y**11*y*y*y)\/y)\/y))\/y))\/(y*y\/y**(-4))*y*y**(-3\/2)*y**(-8) assuming y is positive.\nAnswer: y**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**3 + 9*q**2 + 22*q - 91. What is s(10)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -442, -413, -384?\n\"Answer: 29*q - 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 11 - ((15 - 7) + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 1 + 5 + 3*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -513732, -1027412, -1541092, -2054772, -2568452?\n\"Answer: -513680*m - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 4277*a + 12831. Calculate o(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pzzppz. What is prob of picking 2 z and 1 p?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 108 and 2818.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 2\/13, 24, 2\/3, 0.07, -0.2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = 172 + -194. Let j be 12\/p + 1544\/88. Which is the closest to j? (a) -0.2 (b) -1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1800364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -22330311333 (base 4) in base 15?\nAnswer: -3ba870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes before 10:45 AM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/s**(8\/7)*s*s**(1\/8)*s*s)\/(s\/(s*s**(-2))*s)**(-49))**(3\/31) assuming s is positive.\nAnswer: s**(25197\/1736)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 78 and 40950.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -504.04 take away 1.6?\nAnswer: -505.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-3)\/(-8))\/(2910\/19400))\/((3\/2)\/1).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 51*g - 61 = 5*h, 4*h + 5*g = -39 + 36 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -245 - -138. Let t = -107.1 - g. What is the nearest to t in 0, -4, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.1 times -610\nAnswer: -671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 1a604 - -1?\nAnswer: 1a605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/5, -0.01922, 0.07 in ascending order.\nAnswer: -0.01922, 0.07, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g - 8. Let k be h(6). Let p be (-4)\/k*5\/2. Factor -5*u**5 + 0*u - 2*u**4 + 4*u**3 - 2*u + 3*u**p - 2 + 4*u**2.\nAnswer: -2*(u - 1)**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000021608949 to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x be 84\/35 - (3 - 1). Let i = -1.4 + 3.2. Let y = i - 2. Which is the biggest value? (a) x (b) y (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1267861 = 10*q + 273171. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3*j**2 - j + j)*(146 + 133 - 279 - 977*j) in the form h*j**3 + v + m*j + z*j**2 and give h.\nAnswer: -2931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -47148.271 rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 15 = 4*l. Suppose -9*b = -4*b - l. Let g be (0 + b - 5) + 0. Let m(q) = 2*q**2 + 5*q - 2. Determine m(g).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -10, -5 in decreasing order.\nAnswer: 4, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = 5*v + j, v + 6*j = 4*j + 6. Put v, -5, 1 in increasing order.\nAnswer: -5, 1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of (101\/(-8))\/((-2)\/16*14) and -109\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, p: 1, u: 1, o: 1, s: 2, r: 1}. What is prob of picking 1 u, 1 r, and 1 s?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 805, 800, 795, 790?\n\"Answer: -5*n + 810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 1000110101000110001 (base 2) to base 6.\nAnswer: 10111253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 2*h - 148 = 0. Let v = 84 + h. Is v 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 7005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 150 and 120.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -2*a - 36. Let p(i) = -29361*i - 25. What is k(p(d))?\nAnswer: 58722*d + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1266265?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from {b: 2, m: 7}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -622204 divided by -5\nAnswer: 622204\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate -14770 divided by -2954.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -40465 by 1.\nAnswer: -40465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.039033 + -110497.\nAnswer: -110497.039033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*f**5 - f**5 - 3*f**5 + (-21 - 17 - 12)*(-2*f + 2*f**2 + 2*f)*(-4*f**3 - 2*f + 2*f).\nAnswer: 399*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -452, -450, -448, -446, -444, -442?\n\"Answer: 2*z - 454","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 78 + -68. Let k be (w\/6 + -1)\/(4\/42). Solve -n = 3*i + n - k, -i = 5*n - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g**(-1))**(-5\/6)\/(g**(1\/4)\/g)**(-41) assuming g is positive.\nAnswer: g**(-359\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(2736) - ((sqrt(2736) + -2*sqrt(2736) + -5 - sqrt(2736)) + sqrt(2736))) + 0)**2*4.\nAnswer: 960*sqrt(19) + 43876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -2*b**3 + b**2 - 8*b + 1863. Is 26 a factor of r(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:29 PM and 9:17 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ifq when three letters picked without replacement from qqqfamqqmmi.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -3*i + 9. Suppose i*o - 8 = 4*k, 4 = 3*o - 2. Sort k, 0.5, -0.2 in increasing order.\nAnswer: -0.2, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/(-2) + 4)*(5 - 2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Product of 24.5 and -5.\nAnswer: -122.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 24 and 60.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.21 + -9.21. Let m = 39433\/7 + -5633. Suppose 5*x - 2 = 4*x. Which is the nearest to g? (a) 3 (b) m (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 - -3 - 0) + -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = 17*k**3 - 14*k**2 + 6. Let j(u) = -u**3 - u**2 - 1. Suppose 0 = -q - 4*q + 30. Let d(a) = q*j(a) + b(a). Find the third derivative of d(y) wrt y.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -729 + 671. Which is the third biggest value? (a) -4 (b) n (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1514, -6722, -15400, -27548?\nAnswer: -43166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*r = 57*r + 667 + 26 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 22 - 23. List the prime factors of (21\/2*-4)\/o.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pcc when three letters picked without replacement from {y: 1, p: 2, c: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 624953 and 161987?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 22 = 12*d. Does 27 divide (118 - (d - -6)) + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 759 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 4310994239 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find u such that 27*u**5\/7 - 33*u**4\/7 - 102*u**3\/7 + 132*u**2\/7 - 24*u\/7 = 0.\nAnswer: -2, 0, 2\/9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1872) - ((2 + sqrt(1872) - sqrt(1872))**2 + 0))*-4 + -2 + -5.\nAnswer: -48*sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -93\/388 and -103\/756338?\nAnswer: 146729572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*a - 3*a + 1, 0 = 5*i - 4*a - 6. Suppose 2*r - 12 = -i*r. Solve r = 2*y - 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 73 (b) -12\/11 (c) -0.4 (d) -0.5 (e) 3 (f) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**3 - 2*g**2 + 2*g + 1. Let d be m(1). Let b(s) be the second derivative of d - s + 1\/6*s**3 + s**2. Give b(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -208233120 at most -208233122?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0*((1 - 4) + 2). Suppose 4*n + 12 + f = 0. Suppose 3*k - 3*p = 6, 0*p + 1 = -3*k - 4*p. Put -1, k, n in increasing order.\nAnswer: n, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 43*b - 5*g + 106 = 0, -4*b + 3*g - 604 = -584 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(144)*-3)\/(sqrt(24)\/sqrt(300)) + 0.\nAnswer: -90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 29945497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5\/50*6 + (-94)\/(-10). Suppose 0 = -h*t + 8*t. Solve 4*u - 3*u = t for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 173*z + 168*z + 3*z**2 - 341*z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y be (2 - (-2)\/(-1))\/1. Suppose y = 3*p + 2*p + w - 125, 4*w = 2*p - 50. Suppose 3*g = p + 38. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the third derivative of 3*u**2 + 0*u + 1\/60*u**5 + 7\/6*u**3 + 0*u**4 + 0. What is the units digit of c(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 17556 = 866*r + 15553 - 19647 for r.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2290\/3 + -757. Let l = 215\/33 - f. Which is the third biggest value? (a) -2\/23 (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20*(-132)\/352)\/((-1)\/(-72)*-10).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6\/(-153))\/((-7)\/21).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -47670*c**3 - 1302*c**3 + 97*c**2 - 191*c**2 + 94*c**2.\nAnswer: -48972*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 1312 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence faa when three letters picked without replacement from arfrrrffaaff.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 568 minutes before 9:56 PM?\nAnswer: 12:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 10 = n. Suppose -q + 10 = z, 5*q - n*z = -0*q. Is q a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 8834171?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = 2*c - 13. Let r(b) = -146*b. Give r(a(d)).\nAnswer: -292*d + 1898","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 1, 9, 13 in decreasing order.\nAnswer: 13, 9, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4624 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**2 - 49220448*w + 201887708443392.\nAnswer: 3*(w - 8203408)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/14)\/(5780\/(-64736)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 3 (b) 26 (c) 1\/4 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 152*n**2 + 2. What is the tens digit of p(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 16 - 15*j**2 - 15 - 122 + 11*j**2 - 91 - 216*j.\nAnswer: -4*(j + 1)*(j + 53)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 43\/2 - 727\/34. Let t = -165.4 + 166.4. What is the nearest to t in k, -4, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine z so that -2*z**4\/19 + 7092*z**3\/19 - 14170*z**2\/19 - 21264*z\/19 = 0.\nAnswer: -1, 0, 3, 3544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/2 - 29\/8*g - 7\/8*g**2.\nAnswer: -(g + 4)*(7*g + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = -4*d - t, -5*d + 78819 = -t + 78829 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -72 + 77. Suppose 179496 = -5*p - j, -5*p - l*j + j - 179484 = 0. Round p to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of f**4 - 3*f**3 - f**2 - 3283 wrt f?\nAnswer: 4*f**3 - 9*f**2 - 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 2ba50c (base 14) to base 9.\nAnswer: 2776154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 3*o**2. Let x be t(2). Suppose -y - x = -4*y. Suppose g = -5*d, -5*g = -y*g - 4*d - 18. Solve -2*p = -0*p - g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20 and 67492842?\nAnswer: 674928420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*d**3 - 1669*d**2 - 1631*d**2 + 3300*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -135 (base 13) to base 4\nAnswer: -3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.245 + 0.155. Is -0.04 smaller than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -255, -666, -1443, -2778, -4863, -7890?\nAnswer: -12051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 234 - 4?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 1161*u**3 - 20*u + 5. Let p(i) = i**3 - i**2 + 4*i - 1. What is g(w) + 5*p(w)?\nAnswer: 1166*w**3 - 5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is d in -4*d**5 - 149*d**4 - 1165*d**3 + 4198*d**2 - 2080*d - 800 = 0?\nAnswer: -20, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 11010 (base 2) to base 4.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 3516497?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = 35 + -101. Let j = d + 143. Suppose 50*c - 216 = 42*c. What is the remainder when j is divided by c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.72 + -0.62. Let k = -3.3 + 1. Let q = 0.3 + k. Which is the biggest value? (a) q (b) 3 (c) -3\/2 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z**4 + 1004*z**3 + 149226*z**2 + 5638528*z + 24586240 = 0.\nAnswer: -224, -49, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = 2*q**2 - 5. Let y(s) = 9*s**2 - 24. Suppose 28 = -3*o - 29. Let l = 43 + o. What is l*x(h) - 5*y(h)?\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -957*f**4 + f**3 - 5*f*x + 20871*x wrt f.\nAnswer: -3828*f**3 + 3*f**2 - 5*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = -w + 1. Let o(n) = 3*n - 2. Suppose 6 = g + 3*b, -3*b - 2 = -5. Let l(q) = 5 + 0 + g*q - 4*q. Let s be l(4). Determine s*o(a) + 2*v(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 8032\/800 - 3\/75.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the first derivative of 7\/2*g**2 - 20*g + 5. What is the units digit of o(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1083841993.8 + -2044?\nAnswer: -1083844037.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 34, 51, -5, 234, 5, 4 in decreasing order.\nAnswer: 234, 51, 34, 5, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -36*j**2 - 2*j**3 + 3 + 4*j**3 + 5*j + 38*j**2 as x + b*j**2 + l*j + g*j**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in f - 10*f**2 + 12*f**2 - 48584*f**3 + 19026*f**3 - 38423*f**3.\nAnswer: -67981*f**3 + 2*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:38 PM and 11:31 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = 3*d**3 - 56*d**2 - 7*d - 52. Let b be c(19). What is the greatest common factor of b and 132?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -53\/1536 and 103\/102.\nAnswer: 26112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -157\/53854710 and -10\/5385471?\nAnswer: 53854710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -194?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-48)\/60)\/((-3)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 7, k: 5}. Give prob of picking 2 t.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/750 and -68\/7779.\nAnswer: 1944750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s = -382 + 401. Let i(p) = -p + 23. Let m be i(s). Solve x = 4*a + 12, -5*a + m*a - 5*x = 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 12\/11, -2\/5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/7, 1.42292, -191, 0.1?\nAnswer: 1.42292","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -62461 + 137?\nAnswer: -62323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g = y - 2 - 11, -5*g - 35 = -5*y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/8 and 31\/20270014.\nAnswer: 81080056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 2*d - 390 = 523, -4525 = -5*u - 5*d. Calculate the remainder when u is divided by 93.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 5*s + 6 = 0. Suppose s*x = x + 4. Suppose -x*m + d - 44 = -7*m, -31 = -3*m + 4*d. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1696 - 0?\nAnswer: -1696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 1 - (-34 + 0 + (-2 - -8))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*a + 104234 - 352818 = -154*a. Calculate the highest common factor of 252 and a.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i - 3 = -o, 2*o + 0*i - 7 = -i. Suppose o*r - r - 105 = 0. Suppose 0 = 3*n + 2*v - r, 2*n + 0*n - 25 = -v. List the prime factors of n.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1\/3 - 42\/18. Let l be 3 - (d - (-1 - 0)). Suppose -l*j + 28 = 4. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 - (79 + -29 + 1)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -71*c**3*s**2*u - 97*c**3*s*u - 2*c**2*s*u - c*s wrt s.\nAnswer: -142*c**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 10*v**3 + v**2 - 43*v + 55. Give f(5).\nAnswer: 1115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -7 - -7.3. Let w = 24.1 - 0.1. Let g = w + -20. Put n, -0.3, g in decreasing order.\nAnswer: g, n, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 427 smaller than 427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 8189 + -5597. Let z(m) = m**2 - 5*m + 1. Let p be z(4). Let l be (-1250)\/p*d\/40. Round l to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-315012)\/(-1044) + (-2)\/29. Let n = s + -301. Let 1\/3*d**2 + d + 1\/3*d**4 - d**3 - n = 0. What is d?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 80*g**2 - 406*g + 1 - 1 - 7*g**4 + g**3 + 474*g - 78*g**2 to the form w*g**4 + h*g + n*g**3 + f + q*g**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 6a545305 + 4?\nAnswer: 6a545309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 12 + -11.5. Let v = q + 0. Which is the third biggest value? (a) -0.3 (b) v (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -1022, -4 in decreasing order.\nAnswer: 2, -4, -1022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8926780?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = -7433 + 7433. Let g(o) be the third derivative of -8*o**2 + 0*o**4 - 5\/3*o**3 + f + 0*o**5 + 0*o - 1\/120*o**6. Find the first derivative of g(n) wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 20*d - 202 + 4 - 33*d - 31*d - 12*d wrt d?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -314823270 * -0.1.\nAnswer: 31482327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 1196*u - 1206*u - 150 = 0 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 107\/3*q**3 - 321*q + 936 - 101*q**2 - 1\/3*q**4 = 0. What is q?\nAnswer: -3, 3, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 0 + 0)*(10*l - 30*l - 12*l + (0 + 2 - 3)*(l + 2*l - l) - l + 0*l + 0*l + (-28 - 52*l + 28)*(3 - 1 + 0)).\nAnswer: 278*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 2*w**2 - 3. Suppose 0 = 13*n - 136 + 71. Let f(b) = 3*b**2 - 4. What is n*f(l) - 7*q(l)?\nAnswer: l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j and 2 z when four letters picked without replacement from {z: 11, j: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 1, y: 3}. Give prob of sequence yqy.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -4 (b) 2\/13 (c) -3 (d) -18495 (e) 2 (f) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 11859003 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 - 507 = -14*t. Calculate the highest common factor of 2 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1278 + -1283.91. Let v = w + 6.01. Let y be (3\/(-66))\/((-1)\/(-4)). Which is the closest to 3? (a) y (b) 1\/5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 23\/371 and -59\/36676.\nAnswer: 256732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i + x + 161, 0 = i - 2*x - 24 - 18. Suppose -24*u = -26*u + i. Let f = 70 + 48. Calculate the remainder when f is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -312, -632, -960, -1296, -1640, -1992?\nAnswer: -2352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1125.9965 and -7?\nAnswer: -7881.9755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 41 + (-20 + 15 - -10).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the first derivative of -4631*d**3\/3 + 4065*d**2\/2 + 1307. Find the second derivative of o(m) wrt m.\nAnswer: -9262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28*h + 188 = 20. Calculate the greatest common divisor of h and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {e: 2, i: 1, n: 4, d: 7, b: 6}. What is prob of sequence idbb?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8647\/36 + 965\/4. Find the common denominator of y and (-3)\/6 - (-959)\/84.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0\/(1\/(3 + -4)). Suppose -z - 4*o + 4 = -3*o, 2*z - 3*o + 7 = t. Which is the nearest to 0.1? (a) 0 (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -169 - -168. Let i = t + 1.5. Sort -3, -5, 3, i.\nAnswer: -5, -3, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -12*i + 2. Let f be a(-3). Let h = -35 + f. Let d(t) = -t**3 + 5*t**2 - 4*t + 3. Let l be d(h). Is l equal to 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 5983783398 and -108579?\nAnswer: 5983891977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.9 - -36.1. Let z = -36.99894 + t. What is z rounded to four dps?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 0 - (-1*6 - 2). Let s be p\/(-28) + (-16)\/(-7). Solve -s*l + 4*l = -6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d + 4*o = -8, -68 = -5*d - o - 81 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 3*w - 32. Give i(13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**2 + o. Let h(v) = 5*v**2 - 5*v + 5. Let i(c) = 3*a(c) + h(c). Let n(f) be the first derivative of i(f). Is n(2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 174569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-10)\/(-6))\/((-224)\/(-192)*(-2)\/(-7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 86 - -144. Let h be o\/70 - 4\/14. Sort -2, -5, h in ascending order.\nAnswer: -5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = -74744*n + 224227. Determine m(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2.45 + 0.35. Let s = -0.1 + g. Let v = -2.8 + s. Which is smaller: v or 12\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 6:05 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 + -15\/4. Factor -1\/4*a**3 + 1\/4*a**4 + i*a + 0 - 1\/4*a**2.\nAnswer: a*(a - 1)**2*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 334339.\nAnswer: 17, 71, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*u**2 + 2 - 10882*u + 5443*u - 3 + 5440*u.\nAnswer: 52*u**2 + u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 7*p**3 - 1789*p**2 - 22*p - 32. Let x(v) = -2*v**3 + 447*v**2 + 6*v + 8. Give -3*i(r) - 11*x(r).\nAnswer: r**3 + 450*r**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -83773*p**4 + 121*p**2 - 36400407*p?\nAnswer: -1005276*p**2 + 242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -54*c - 95. Let q be v(-10). Let b = 547 - q. What is the remainder when b is divided by 52?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 56580 (base 10) in base 14?\nAnswer: 16896","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.304 + 0.004. Put j, 0.1, -0.4 in decreasing order.\nAnswer: 0.1, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -11*m - 28. Let v(x) = -x**3 + x**2 + 5*x - 2. What is the units digit of v(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -7 + 8. Let y be (14\/(-42))\/(x\/9). Let p be 1 + -8 - 4\/(-1). Do y and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 45 = r + 126, -3*i + 65 = -5*r. Suppose -b = b - i. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 129, 257, 385, 513, 641?\n\"Answer: 128*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -10100 (base 6) in base 4?\nAnswer: -110310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m. Let r(q) = 1864*q**2. Calculate p(r(i)).\nAnswer: -1864*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 19665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -r**3 - 407*r**2 + 208*r**2 + 199*r**2.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the second derivative of b**6\/1980 - b**5\/220 + 5*b**3\/3 + 4*b. Let f(t) be the second derivative of j(t). Find h such that f(h) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve r + 77 = 76 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -22100 divided by 1105?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) be the second derivative of u + 0 - 2*u**2 - 1\/3*u**3. Let y be j(-3). Solve 8 = 2*p - y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 780 by 2.\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -42\/29 - -3279\/2204. Which is greater: 2 or f?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 72*t + 8*t**3 - 4*t**2 + 3*t**2 - 13*t**6 + 6*t**3 - 20*t**3 + t**3 wrt t.\nAnswer: -1560*t**3 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*l + 157 - 157 + 0*l + 3*l - 5*l + (-l + l + l)*(1 - 3 + 4) + 0*l + 2*l + 0*l + 12*l - 15*l + 29*l - l + l - 2*l to v*l + z and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41062637.\nAnswer: 7, 11, 29, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-66)\/(-5) + (-4)\/20. Suppose 0 = -2*l + p - 5. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve p - 2*s = -4*p - 29, 5*p - 4*s + 33 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express d + 3*d**3 + d**3 - 4*d**4 - 8 + 2*d**4 - 2*d**3 as a*d**4 + p + r*d**2 + u*d**3 + c*d and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 6*i**4\/11 - 57600*i**3\/11 - 18425232*i**2\/11 - 73009536*i\/11 - 72779040\/11 = 0. What is i?\nAnswer: -306, -2, 9910","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 526648?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 192?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 61942 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be 94\/(-18) - (-4)\/18. Let u(s) be the third derivative of s**5\/60 - s**4\/12 + 2*s**3\/3 - 42*s**2. What is the tens digit of u(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x + n - 6*n + 25 = 0, -2*n = 2*x - 12 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + 14 = -4*l - 6, 0 = -5*z + 3*l - 11. Let k be (-98)\/z*22\/(-517) + 1. Do k and 1\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*2*sqrt(13) - (sqrt(312)\/sqrt(6) - sqrt(13) - sqrt(13))) + -3*((sqrt(208) + 0 + sqrt(208) - sqrt(13)) + sqrt(1053)*-2))**2.\nAnswer: 10933","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -495*f**4 - 5*f + 54?\nAnswer: -5940*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 - (3 - (3 + 0)). List the prime factors of s + 18 + 0\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 less than -61304?\nAnswer: -61290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 7620 + 4351?\nAnswer: 14171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*s**6 - 12*s**4 + 6*s**3 + 7447*s**2.\nAnswer: -240*s**3 - 288*s + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1.9 - 2. Let l = 0.1 + -0.5. Which is the second biggest value? (a) q (b) -5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2 - 20597378*i.\nAnswer: 2*i*(i - 10298689)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3364852280*o - 4*o**2 + 3364852280*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 4776\nAnswer: -5\/4776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -3c466 - -6?\nAnswer: -3c460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 29, 76, 153, 260?\n\"Answer: 15*s**2 + 2*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 89119627.\nAnswer: 17, 433, 12107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 times 14745.5?\nAnswer: -4423.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -242 - 257 + 761 - 260 + 86*p.\nAnswer: 86*p + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4b - -37530?\nAnswer: 3757b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 2*r - 2 - 4*r - 2*r**4 - 2*r**2 - r**4 + r**4 - r**3 in the form h + l*r**3 + s*r**4 + u*r + b*r**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 157 (b) 600 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 81\/45 + 37073\/(-12735)\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -100378260 divided by 18?\nAnswer: -5576570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 118*n - 73*n - 76*n + 19096 = 0. What is the greatest common divisor of n and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose d = -2*k - 0*d + 835, d = -3*k + 1255. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -929\/15 - -184\/3. Let t = -8\/5 + 29\/15. What is the second smallest value in t, s, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -326*z - 122*z**4 - 116*z**4 + 142 - 142 wrt z.\nAnswer: -2856*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 9*w - 17*w + 3*w + 4*w. Let f(v) = 10*v**2. Give f(z(h)).\nAnswer: 10*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 71 - 321*m**3 + 72 - 143.\nAnswer: -321*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 26825 and 110925.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 606342 to the nearest integer?\nAnswer: 779","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40 and 149461?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1057*3\/(-16308)*1*8.\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) be the second derivative of i**5 + 114*i**4 + 272*i**3\/3 + 10771*i. What is c in m(c) = 0?\nAnswer: -68, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -108509000 divided by 76?\nAnswer: -1427750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 24 - (28 + -16) - (10 + 11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**2. Suppose i = 5*i - 72. Suppose 4*p - 3 + i = 5*c, -3*p + 15 = 0. Let x(o) = 7 + 2*o + 0*o - c. What is a(x(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-70 + 482 - 59 - 2 + 2 - 1 + 0 - 1 + 2 + 1 + 3 - 2 + (5 - 4 - 3)*(-1 - 2 + 5) + 3 - 5 + 4)*(-1 - 1 + 4)*(2*a + 4*a - 2*a).\nAnswer: 2824*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -15 in 2\/5, 180, -1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 43571501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 8.444261 weeks in nanoseconds?\nAnswer: 5107089052800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 15955 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 131\/5778 and -73\/1836?\nAnswer: 196452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*i**3 - i**3 - i**3)*(-4 + 2*i**2 + 4) + (-10*i**3 - 4*i**3 + 2*i**3)*(5*i**2 + i**2 + i**2).\nAnswer: -88*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 3*t = 28. Suppose 54 = t*r - 4*r. Let y = 54 - r. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**3 - 2*v**2 + 2*v + 1. Let n be x(3). Suppose n*j = 5*j + 396. Let d = -33 + j. Solve 2*s = 2*h - 2*s - 26, -d*h + 4*s = -29 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1058 times 0.52\nAnswer: -550.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -21*i**2 + 4*i - 2. Let u(p) = -106*p**2 + 19*p - 11. What is 11*q(f) - 2*u(f)?\nAnswer: -19*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Multiply 488895 and -11.\nAnswer: -5377845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2745 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*q**3 + q**3 - 6*q**3)*(6*q - q + 0*q) + (7*q**2 + 10*q**2 + 3*q**2)*(-3*q**2 - 2*q**2 + 4*q**2).\nAnswer: -45*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -17 - -13. Let q = c - 2. Let k = q + 26. List the prime factors of k.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + 2. Suppose n*v - 3 = -0*v. Let h be (0 - 1)\/((-4)\/(-12)). Sort v, 5, h in ascending order.\nAnswer: h, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8156056 to the power of 1\/3, to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the first derivative of -35*z**4\/6 + z**3\/6 - 26*z**2 + 57. Let r(o) be the second derivative of j(o). Let y(p) = -p**2. Give y(r(g)).\nAnswer: -19600*g**2 + 280*g - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 1\/3, -28.1, -3, 2, -34, 0.259?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 368050 to the nearest 10000.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-1)\/3)\/(11\/6). Let o = 0.0122 - -20.9878. What is the second smallest value in -4, o, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -18567, -18573, -18579, -18585?\n\"Answer: -6*l - 18561","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = 14*p**2 - 244*p - 185. Is l(42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 28\/9 and -2\/801.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1169.3435 + -1169. Let b = 0.269 - x. Let j = b - -0.08. Round j to 3 dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 52, 60, 64, 64, 60?\n\"Answer: -2*w**2 + 14*w + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is k in -5\/4*k**3 - 45\/4*k + 15\/2*k**2 + 0 = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*c - 49 = -4*c for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add 139 and -0.1.\nAnswer: 138.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nvvnnnvn. What is prob of picking 3 v?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 43, 54, 75, 112, 171, 258?\n\"Answer: y**3 - y**2 + 7*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*u**3 - 4*u**2 - 1581*u?\nAnswer: -12*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -11121.46 + 10786. What is z rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s - 12*s - 12*s - 12*s + 53*s.\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -y**3 + 4*y**2 - 3*y + 2. Let t = -4 + 7. Let o be j(t). Let q(w) = 8*w - 2*w - o*w. Let x(k) = -k. Give x(q(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 17179698 a multiple of 1895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*c + 2*c**2 + 1\/3*c**3 + 8\/3.\nAnswer: (c + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -23, -37, -51?\n\"Answer: -14*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the second derivative of -3*k**5\/100 - k**4\/20 + k**3\/10 + 3*k**2\/10 + 2*k. Find p such that r(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 - ((-7 - 21) + -4 - 2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/(-4)*(-206)\/618.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2218 + 358 = 31*j - 17*j. What is the greatest common divisor of 48 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 12\/30*(-125)\/20\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*((-651)\/(-42))\/(2\/(-28)). Solve 4*h = 225 - a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -59396\/18291 + 8\/871. Calculate the common denominator of z and 71\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-1248)\/(-1885))\/(-16)*((-70)\/(-18))\/(-7)\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from jjjjjjjjgjjjjjjjjj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*n + 336 + 544 = 0. Is 4 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 405*j**2 + 26*j + 109. Is n(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (m**3)**(-27\/5)\/((m\/(m*m**8))\/((((m\/(m**(-8)*m))\/m)\/m)\/m)) assuming m is positive.\nAnswer: m**(-16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 1838 = -9*j + 1829 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, d: 1, o: 2, w: 1}. Give prob of picking 1 c and 1 w.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -3.6, 4, -2\/16437 in ascending order.\nAnswer: -3.6, -2\/16437, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -6 (b) -3\/11 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in 1\/6, 2, 0.2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b be (10\/8)\/(12\/(-48)). Let y = 108 + b. Let k = y - 65. What is the greatest common divisor of k and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 9*a**2 - 4. Let x(f) = 125*f**2 - 55. Suppose 7*c + 48 = 10*c. Let r = c + -20. Calculate r*x(j) + 55*o(j).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 10*b - 3. Suppose 5*x = 2*l + 11, -3*l = 5*x - 10 - 11. What is r(x)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -283.99 + 284. Which is smaller: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1642\/29)\/1 + -2. Let s be (-52)\/(-91) + 126879\/(-2436). Let v = p + s. Find the common denominator of v and 57\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 5*w + 265, w + 5*o + 10 = -67. Let j be (-2)\/(-7) + w\/(-14). Solve -j*h - 4 = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 2*a**2 - 1. Let f be b(1). Let c(q) = -2*q**2 - 3 - 3*q**2 + 6*q**2 + 4. Let l be c(f). Solve -l*x = 1 + 7 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/105)\/(((-33)\/(-30))\/(-11))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/2232 and 55\/2664.\nAnswer: 82584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -36 - -106?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be 58\/(-551) - (-2 + ((-6656)\/(-399))\/8). Sort 0.1, v, 11\/5.\nAnswer: v, 0.1, 11\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of -3*p**5\/10 - 7*p**4\/12 + 2*p. What is the third derivative of r(d) wrt d?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -7 + 1 + (9 - 6). Let l = 5 + y. Factor 3*a + 4*a - 7*a + 3*a**l.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12662935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mmmj when four letters picked without replacement from jmjjmmjjjj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -8, 1506, 3\/5, -1, 2.2, -0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -6361.706 rounded to the nearest integer?\nAnswer: -6362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -d**2 - 64*d - 315. Determine n(-58).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26 - (-2150)\/75)*(-3)\/(-7).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 41, -154, -473, -910, -1459, -2114, -2869, -3718?\n\"Answer: j**3 - 68*j**2 + 2*j + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let 72*b + 32*b**2 - b**2 - 345*b**3 + 347*b**3 - 7*b**2 = 0. What is b?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 14493*x - 14293. Let m be r(1). Let -20*h**3 - 2000\/3*h - m*h**2 + 0 - 2\/3*h**4 = 0. Calculate h.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j = -6*y - 68 - 8, 34 - 127 = 2*y - j - 31 - 26 for y.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(2\/3))\/r*r*r**3*r)\/(r\/(r*r**1)*r)**27 assuming r is positive.\nAnswer: r**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 688 is divided by 180.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -0.4, 1, 25?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 8, x: 2}. What is prob of picking 3 j and 1 x?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(684) + 0)**2 + (-1*sqrt(1900) + sqrt(1900))**2 + sqrt(1900) + sqrt(19).\nAnswer: 11*sqrt(19) + 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5969*p**6 + 956*p**2 - 1000*p**2 + 21097*p**6 + 2664*p**2 wrt p.\nAnswer: 1815360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -4\/7, -0.7, 2\/3, -78\/7, 5, 1\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*c**2 + c**3 + 0*c**2 + (-2*c**2 - 4*c**2 + 2*c**2)*(-18*c - 26*c - 10*c) to t*c**2 + x + g*c + i*c**3 and give i.\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -1490 + 3285 = -334*w - 6555 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of -p**2\/2 + 4*p + 38. Let q be y(2). Determine v, given that -6*v**4 + 3*v + 99*v**3 - 79*v**3 + v - 18*v**q = 0.\nAnswer: 0, 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-63)*(-144)\/32?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i. Let c(z) = -267680698*z**2. What is p(c(u))?\nAnswer: 267680698*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in -30.9, -1, -5, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/(f**(-8)*f)*f*f**(3\/11)*f)\/(f**(-11)*f**6\/f) assuming f is positive.\nAnswer: f**(179\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(121) - (sqrt(121) + (sqrt(121) - sqrt(121)*-1))*5)\/(sqrt(11) + sqrt(275)*2 + sqrt(275)))**2 + 1)*1.\nAnswer: 603\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30 = -4*w + w. Suppose 0 = -17*n + 9*n + 32. Suppose 4*x + 4 = 0, m - 3*x + 177 = n*m. Calculate the smallest common multiple of w and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1525698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1016 + -196. Suppose -4*p = p - w. What are the prime factors of p?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 43035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -4 (b) 4 (c) 3 (d) -0.34609 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 12*k - 91. Let m = -252 + 260. Let b be u(m). Solve 0 = i - 3*r + 16, -b*r = 4*i - 0*r - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-486)\/(-9) - (-64 + 120).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-5 + -1)*(-11 - 500\/(-45)). Which is the fourth smallest value? (a) x (b) 7 (c) -3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 15 and 2561319?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -64\/1805 and 87\/1330.\nAnswer: 25270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find g such that 3*g**2\/2 - 4881*g + 125892 = 0.\nAnswer: 26, 3228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -1085461\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of h**2 - 4 + 4 + 2*h**5 - 4*h**5 wrt h.\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 295 divide 13952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0001108054713 rounded to 6 decimal places?\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14.9 - 14.707. Let h = o + -0.1930121. Round h to six dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -3, 5, 16, 0.5, -6, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*t + 3*t - 4. Let a(v) = v**3 - 3*v. Let l(n) = -2*n**3 + n**2 + 7*n + 1. Let q(x) = 9*a(x) + 4*l(x). What is q(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 5*w + 914. Suppose -h = -4*h - 7*h. What are the prime factors of k(h)?\nAnswer: 2, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n = -3*f - 7, 13 = -5*f + 36*n - 40*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 685?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -26693 (base 13) to base 5\nAnswer: -4241223","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jehaphjheheaahhj. Give prob of picking 1 e and 1 h.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/6 and 139\/1032?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-7)\/49 + 1 - (-350)\/49\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 776\/2716*(-2)\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -417551 and 0.3?\nAnswer: -125265.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 712 less than -19.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 295 is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 575\/46 + 4\/8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/((b**(2\/39)*b*b)\/b)*b*b*b)\/((b\/(b**11*b))\/b*b) assuming b is positive.\nAnswer: b**(544\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3\/7 + 388*k**2\/7 - 768*k\/7.\nAnswer: -2*k*(k - 192)*(k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the first derivative of -z**6\/120 + 21*z**5\/20 - 441*z**4\/8 + 2*z**3\/3 - 23*z - 23. Let b(p) be the third derivative of r(p). Factor b(a).\nAnswer: -3*(a - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/608 and -67\/253422.\nAnswer: 4054752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77)*-2)\/sqrt(11) + sqrt(7) + sqrt(847) + 2.\nAnswer: 2 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.2*451\nAnswer: -90.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -8 + 92 - (2 + -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -3722215 by 145.\nAnswer: -744443\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = 3*k**2 - 128*k - 39. Let c be r(43). Let z(w) = -30*w + 19*w + w**3 + 9 + 0*w**2 - c*w**2 + 21*w - 6*w**2. Give z(9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*i - 17*i - 47*i.\nAnswer: -80*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 4*h**3 + 100*h**2. Determine w(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -1 (b) 8.6 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 815424 divided by -822?\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 241 divide 1725801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 40, 75, 108, 139?\n\"Answer: -t**2 + 38*t + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -4 + (-20 - -24 - -26)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000008703 rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 25b389 (base 12) in base 3?\nAnswer: 1011112200220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - 13) + (3 - 4 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 823647?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -2\/11 (b) -3 (c) 31 (d) 8 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert -11010011 (base 2) to base 15.\nAnswer: -e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -225, 8, -5, -411 in descending order.\nAnswer: 8, -5, -225, -411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 1:22 PM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 123684301 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -5*f**2 + f - 7. Let l(p) = -6*p**2 + p - 7. Let h = 11407 + -11404. Determine h*m(i) - 2*l(i).\nAnswer: -3*i**2 + i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**2\/7 + 115522*r\/7 + 96904552\/7.\nAnswer: -2*(r - 58588)*(r + 827)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -681, -680, -679, -678?\n\"Answer: v - 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -603? (a) -0.5 (b) 2\/11 (c) -0.4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 10845 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -3*a**2. Let n(v) = -37 - 2 - 4*v**2 - 11 + 51. Give n(o(w)).\nAnswer: -36*w**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -32 - -51. Suppose -r*v + 254 = -17*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 2*p = -3. Let y be p\/(-9)*(-1)\/4. Suppose -5*x - 4*r = 8 - 7, -4*x + 4*r = 8. Is y less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 917214 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 201300 = 2387*t + 1273*t for t.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 95*f + 3*p = 91*f + 3, -2*f - 21*p = 57 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 106*h**3 + 157*h**3 - 222*h**3.\nAnswer: 41*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 101*t**2 - 527*t + 138. Give p(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 271132 divided by -6.\nAnswer: -135566\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4910 is divided by 818?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -0.4*-0.112\nAnswer: 0.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -23 + 27. Let u(t) be the third derivative of -t**6\/120 + t**5\/10 - t**4\/6 + t**3\/3 - t**2. Is 6 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4497743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -363*m**4 + 9930*m**3 + 4*m**2 + 3*m + 118584 wrt m?\nAnswer: -8712*m + 59580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 0, -2\/7, -6.2, -1\/38, 8?\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 1, g: 5, q: 6, a: 4}. What is prob of picking 1 a and 1 g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 26 and 100.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -g**2 - 9*g + 21. Let m(p) = p**3 - 17*p**2 + 14*p + 23. Let x be m(16). Let i be h(x). What is the highest common divisor of i and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = m. Let o(k) be the first derivative of -481*k**2 - 476. What is x(o(h))?\nAnswer: -962*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w + 6 = -6*w. Sort w, -1, -9 in increasing order.\nAnswer: -9, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00571 rounded to 4 dps?\nAnswer: 0.0057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.16 plus -0.0371712?\nAnswer: 0.1228288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-110538)\/3542 + 31 - 8\/22?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 4 (b) 5 (c) -6 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -778 (base 11) in base 5?\nAnswer: -12212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/12*6)\/(1\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = x**3 - 14*x**2 + 13*x. Let d(g) = g**3 + 12*g**2 - 2*g - 11. Let y be d(-12). Let q be p(y). Put q, -1, 5 in descending order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -5, 7, 123, -3 in increasing order.\nAnswer: -5, -3, 3, 7, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 160447*u**3 - 4 + 6 + 15512*u**3 - 2.\nAnswer: 175959*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {a: 1, r: 2, n: 2, s: 2, y: 1, o: 4}. What is prob of picking 1 s, 1 y, and 2 r?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -218 - 3*r - 217 + 435.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -8665, -5 in ascending order.\nAnswer: -8665, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 238, 635, 1032, 1429, 1826, 2223?\nAnswer: 2620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*6.4.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z = 10 + -6. Let p be 2\/(-6) + (-170)\/(-6). Suppose -2*l - 62 = -4*h, 2*h - h - p = -2*l. Solve -z*n = 6 - h for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 65612 by 383.\nAnswer: 65612\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -43*o + 484. Let l be g(12). Sort 4, l, 11 in decreasing order.\nAnswer: 11, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (13 + 8 + 6)*(3*i**4 - 5*i**4 + 3*i**4).\nAnswer: 27*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round 80628 to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -0.3 (c) 405333 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) be the second derivative of 1\/6*k**3 - 1\/20*k**5 + 2*k**2 + 0 - 5*k - 1\/12*k**4. Calculate n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*j = -9 + 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 339.\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**3 + w**2 + w. Let b(k) = -10*k**3 - 10*k**2 - 3*k + 2. Give b(h) + 3*f(h).\nAnswer: -13*h**3 - 7*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-7)\/(-28) + 1666\/(-4488))*(-18)\/4.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*p + 4 = c, p + 8 = -2*p - 5*c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -31, 1611, 10, 3 in increasing order.\nAnswer: -31, 3, 10, 1611","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/((-30)\/(-152))*5. Suppose -4 = -2*n - 2*s, -5*n - 2*s + 26 = 7. Suppose 0 = -3*v - n*j + 57, k = 4*v - j + 3*j. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 4 = 0, 3*a - 2*v - 60 - 59 = 0. Suppose 124 + a = b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -144, -305, -500, -747, -1064, -1469?\n\"Answer: -3*n**3 + n**2 - 143*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 1 (b) -6 (c) 0.0272\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -5 - (-21 - -17) - -9\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 110222121 (base 3) in base 2?\nAnswer: 10010011111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 1 + 0)*(-10*t + 6*t + 2*t) + (1 + 1 - 3)*(3 + t - 3) - t + t - 2*t + 2*t - 4*t + t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the second derivative of h**4\/12 - 5*h**3\/2 + 55*h**2\/2 + 25*h. Let k be o(6). Solve b + k = -2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*k + 18 = -3*j, -2*k - 15 = 3*j + 2*k. Let a = j + 2. Solve -2*p - y - 2 + a = 0, -y = -p - 8 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5346618 >= -5346614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the third derivative of -4*l**3 - 1019\/3*l**4 - 38*l**2 + 0 + 0*l. Let z be o(13). What is z rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*a**2 - a**2 + 0*a**2)*(3*a**2 - 1375*a - 5*a**2 + a**3 + 1449*a).\nAnswer: -10*a**5 + 20*a**4 - 740*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18\/(-78) - 348852\/(-156).\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000473297 rounded to seven decimal places?\nAnswer: 0.0000473","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, a: 4, j: 6, p: 2}. What is prob of picking 2 a and 1 p?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 - 2*f + (1 + 0 + 1)*(0*f + f + f) - 3*f + f + f)*(f + 5 - 1 - 2).\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 19186889918.5699988 - 19186993249.5. Let m = v - -103331. Let w = m - 0.07. Round w to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 59740751 by 2.\nAnswer: 59740751\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*o + 297 - 297 + 33*o - 7*o - 15*o.\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -11 - 9. What is the units digit of (88\/j)\/(6\/(-15))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, o: 7, u: 1, k: 2}. What is prob of picking 4 o?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1264093*y**3 - 521025 wrt y.\nAnswer: -3792279*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -242*k + 285209962 = -153114474. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 14) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -121, -242, -363, -484, -605?\n\"Answer: -121*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (101503 - 50784 - 11*u - 2*u**2 - 50806)*(-2*u + u + 5*u) in the form l + a*u + i*u**2 + n*u**3 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the first derivative of 55 + 4\/3*b**3 - 80*b**2 + 1600*b. Factor y(c).\nAnswer: 4*(c - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 192 = -3*c. Let t = 255 - c. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -294 in -1, -4, 3\/7, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 33 - 7. Calculate the greatest common divisor of 65 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 244*c - 244*c - 25*c**2.\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3765)\/1100)\/((-12)\/10) - 2796\/(-10252)?\nAnswer: 25\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h - 8*i = 16, -4*h = -44*i - 199 + 139 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -2*f**3 + 6*f**2 - 7*f - 1. Let t be l(3). Let j(y) = 5*y**2 - 4*y - 3. Let a(u) = 19*u**2 - 16*u - 13. Let q(h) = t*j(h) + 6*a(h). Factor q(k).\nAnswer: 4*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = -h**2 - 6*h - 2. Calculate f(-8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 156435 is divided by 78060?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1aa4 + -2?\nAnswer: -1aa6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (3*l + 2*l - 3*l)*(3 + 0 - 4 - 3 - 1 + 2 + (-3 + 0 + 2)*(5 - 5 + 1) - 1 - 3 - 3) as s + j*l and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 12 = -13. Let i be -2 - (p\/3 + 40\/60). Let g = 4.89 - -0.11. Which is the third smallest value? (a) i (b) g (c) 0 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -25, -12, 1, 14?\n\"Answer: 13*g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -789 = -10*l + 61. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 2\/(-5) + (-1)\/10. Suppose 15 = -5*s, 12*s + 3 = 5*h + 11*s. Suppose -5*a = -6*a - 3*m - 1, -4*a + 5*m - 4 = h. What is the nearest to a in k, 0, 4\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 251808 is divided by 2015.\nAnswer: 1948","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 298334894 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/9 and -56\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 1998 - 514 = -618*y - 5863 - 1923 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -g**2*w + 22674*g**2 + 2*g*w - 6451*w wrt w.\nAnswer: -g**2 + 2*g - 6451","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2459, 2461, 2463?\n\"Answer: 2*t + 2457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 + 3 + 4)*(1742*f - 12 + 10 + 1074*f) in the form z + w*f and give w.\nAnswer: 5632","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 252\/(-294) + 1164\/1407.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (a + 3*a - 5*a)*(-3 - 3 + 4)*(218 + 71 + 12 + (-3 + 3 - 2)*(-2 + 6 - 3) + 1 - 1 - 1 - 3 + 4 + 1 + (4 - 2 - 3)*(2 - 1 - 2)) as d + j*a and give j.\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 123, 326, 735, 1350, 2171, 3198, 4431?\n\"Answer: 103*n**2 - 106*n + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -4*f - 2*y, -3*y = 2*f - 5*y + 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -444\/7 + 64. Which is the third smallest value? (a) -2 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uen. Give prob of picking 1 e and 1 n.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 216 and 81.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 11010110110010100 (base 2) to base 14.\nAnswer: 2c112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = -4 - 1. Let j be (10\/b*10\/(-4))\/1. Suppose 0 = j*t + 2*m - 50, 5*t + 2*m - 45 = -m. What is the remainder when 40 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that 2\/3*m**4 - 14\/3*m**3 + 12*m**2 + 16\/3 - 40\/3*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 47097?\nAnswer: 3, 5233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the second derivative of -21*v**5\/20 + 3*v**4 + 2*v**3 + 12*v. Factor m(y).\nAnswer: -3*y*(y - 2)*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 3111.01 and -882826.\nAnswer: -879714.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -125*p + p**2 + 125*p + p**3 + 23 to h + r*p**3 + i*p**2 + j*p and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 1742*i**2 + 2*i + 578. Let r(n) = 50*n**2. Let g(h) = -12*r(h) + v(h). What is the second derivative of g(k) wrt k?\nAnswer: 2284","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -6 - (3 + (-12 - ((-1 - 7) + 5)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(44))**2*-5 - sqrt(176)*4.\nAnswer: -220 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -4*q + 23. Let i(l) be the first derivative of -l**4\/4 + 5*l**3\/3 + 3*l**2\/2 + 2*l - 326. What is the smallest common multiple of i(q) and 4?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = -1127*w**3 - 12. Let x(k) = 1130*k**3 + 15. Determine -5*n(q) - 4*x(q).\nAnswer: 1115*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**3 + 14*i**2 - 2*i - 29. What is y(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (3920 + -3880)*1\/(-9)\nAnswer: -40\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1603076523 to the power of 1\/2, to the nearest integer?\nAnswer: 40038","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 {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 3*d. Suppose -3*x + 2 + 1 = d. Suppose 0 = q + 2*q - 3. Is x < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -2020 - 3?\nAnswer: -2023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1043 rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -37930000 to the nearest one million.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 224 + 996 - 3*o**2 - 169 + (-3*o**2 - 2 + 2)*(0 + 4 - 3).\nAnswer: -6*o**2 + 1051","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5421 take away 1.2?\nAnswer: -0.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-1\/5)\/(u**(-3\/14)\/u)*u**(-21)\/(u*u**(6\/7)*u*u) assuming u is positive.\nAnswer: u**(-1669\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 6743 = 3*t - 6746, -3*o - 12 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 18*f. Let a = 181 - 339. Let k = 165 + a. Let u(m) = 12*m. Suppose -3 - 7 = 2*h. Calculate h*o(z) + k*u(z).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/(-24))\/(250\/(-200))*8\/(184\/(-9)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 16, t: 4}. Give prob of picking 2 t.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12270.5 or -0.1?\nAnswer: -12270.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 3*g**3 + 5*g**2 - 58*g - 3. Let r(l) = 4*l**3 + 10*l**2 - 117*l - 7. Let a(z) = -7*c(z) + 3*r(z). What is the second derivative of a(b) wrt b?\nAnswer: -54*b - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 5*l + 0 - 3*l)*(4*l + 0*l - 10*l) + (4*l - l - l)*(-6 - l + 6) to i*l**2 + g + x*l and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-35)\/(-378))\/(5\/4).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -978*z - 88594 + 18124 = 2002*z - 370*z for z.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express 130 + t + 36*t + 131 - 282 in the form f*t + a and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (2 + (-178)\/18)\/(-1) and -121\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 220545*g - 15090 + 15090.\nAnswer: 220545*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b5135 - 4?\nAnswer: b5131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (sqrt(1300) + -1 + sqrt(1300))**2 - -2*(-1 + sqrt(1300)) - (1*(-1 + sqrt(1300)) + 6*(1 + sqrt(1300) - sqrt(1300))))*-4.\nAnswer: -20796 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + -13. Suppose -3*f - 5*i - 38 + 77 = 0, 11 = f + i. What is the remainder when h\/20 + (-53)\/(-4) is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*t + 4*r + 20, -6*t + 4*r = -4*t - 2. Which is the closest to -2\/5? (a) t (b) -2\/7 (c) -1\/6 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the first derivative of -y**6\/2 + 3*y**4\/2 - 3*y**2\/2 + 30. Let z(g) = 0. What is g?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 979050.1l in millilitres?\nAnswer: 979050100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -10932599219194 take away -0.1?\nAnswer: -10932599219193.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2963 + 8884\/3. What is the closest to 0 in o, 3, -10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -4*v + 3*l - 3, -4*v - 3*l = -57. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = 3*n - 29. Suppose 0 = 2*u - 3*w - 15, -2*u = -0*w + 3*w - 33. Let v be p(u). Solve 0 = -x + v - 5 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 0*h**2 - 8 - 20*h**4 - 14 + 0*h**2 wrt h.\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*y - 8*y - y)*(0 - 1 - 2)*(2*y**3 + 0*y**3 + 0*y**3).\nAnswer: 30*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = -18 - -27. Suppose m + 3 = x. Suppose 4*f - 14 = 5*z, 0*z = -f - 5*z + 16. What is the highest common factor of f and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.4 and -122802.\nAnswer: -122802.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 31586 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -39 - -65. What is the greatest common divisor of 234 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2684\/9 + -929\/3. Let w = -35\/3 - d. Let s = 919\/413 - 165\/59. What is the closest to 4 in -5, w, s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 5, j: 8, g: 7}. What is prob of picking 2 j?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*o**3 - 1005*o**2 + 2025*o - 1015.\nAnswer: -5*(o - 1)**2*(o + 203)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13 - -6) + 11 - -6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 528978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3989 + -3987. Solve -b + 4*b - 13 = g*l, -4 = -4*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2637532?\nAnswer: 2, 181, 3643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1811922 is divided by 2344?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 5.5, 3, -0.3, -3, -3\/5, -7\/946?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - 2.1. Suppose d = 2, 0 = -4*q - q + 3*d + 19. Suppose q*r + 5*f = 20, 8 = 5*r + 3*f - 10. Which is the nearest to s? (a) r (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.96 + 2. Let u = 2 + -2.04. Let p = u + z. Is 0.2 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 6, v: 3, g: 1, m: 1, z: 8}. Give prob of picking 3 v and 1 h.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 48.89929 milligrams in micrograms?\nAnswer: 48899.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 109*p**3*s**3 + 26*p**3*s - 21*p*s - 32*s**3 + 2 wrt p.\nAnswer: 654*p*s**3 + 156*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 8 - (-250)\/(-70) - (-8)\/14. Solve 14*m = x*m + 36 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 73, 329, 765, 1381, 2177, 3153?\nAnswer: 4309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1662 and -0.3?\nAnswer: -498.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-2*sqrt(156))\/(sqrt(432)*2).\nAnswer: sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + sqrt(605) + 3*sqrt(605) - -1*(1 + sqrt(605) - sqrt(605))) + -3*sqrt(605)*-1 + sqrt(605) + 3*(-2 + sqrt(605)))**2.\nAnswer: 73205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -5\/8 in 9\/11, 0, -2\/59?\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 28*q - 126 - 70 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w = -441 - -439. Which is the third smallest value? (a) -4 (b) w (c) 11\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4 less than -21799.483803?\nAnswer: -21795.483803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.072 + 0.028. Which is the closest to w? (a) 2 (b) 4\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.4 + 0.7. Let a be (-4)\/20 + (-16)\/20. Sort v, -5, a in ascending order.\nAnswer: -5, a, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v + v + v)*(23*v - 284 + 284).\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 10, -a - b + 1311 = 4*b. Suppose -15*d = -29 - a. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, 0.3, -65\/7, -2 in increasing order.\nAnswer: -65\/7, -2, -1, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 + 7*c**2 + 7*c + 1. Determine d(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 30831936 to the power of 1\/2, to the nearest integer?\nAnswer: 5553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 8:18 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 5829054 and 66?\nAnswer: 5829054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -206 - -206. Solve o = 6*u - 4*u + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n - 3. Let h be g(-6). Suppose 0 = -4*w + h*w + 6. Solve -3*o + 14 = 5*x, 0 = -2*x - x - o + w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) be the second derivative of 0*n**2 - 11\/6*n**3 - 4*n + 0*n**5 + 0*n**4 + 0 + 0*n**6 - 1\/42*n**7. What is the second derivative of q(g) wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -1\/5, -13, 1\/21, 2\/5, -0.5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*r - 6, 4*r = -5*u - 8. Suppose u = -3*s + 2*s, -3*s + 525 = 5*q. What are the prime factors of q?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*v + 2*v + 10 = 0. Suppose 0 = -v*h - j - 2*j + 25, -h + 5*j - 20 = 0. Suppose 2*a - f - 539 = 0, 0*a + 2*a - 543 = h*f. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 36 a factor of 60264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be 435 - (111\/39 + (-2)\/(-13)). What is the greatest common divisor of 27 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-34)\/28)\/1 + 1. Let u = -16694 + 16693.8. Which is the third smallest value? (a) n (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 26\/3 + 6\/(-9). Suppose -o = -7 - p. Solve -7 = j + 3*h + 3, 4*h = -3*j - o for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0009347882 to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -57.8 + 58. Let j = 5 + -7. Let z = j - -1. Sort 1\/4, p, z.\nAnswer: z, p, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 627886417 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is 409.793 minus -68725.62?\nAnswer: 69135.413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p - 3*p + 75 = 0. Suppose -p = -c - t + 2*t, 0 = 5*c + 5*t - 45. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73517 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) be the third derivative of 49\/3*z**3 + 0*z**5 - 5*z - 15*z**2 + 0 + 37\/120*z**6 - 1\/24*z**4. What is the first derivative of f(k) wrt k?\nAnswer: 111*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {v: 4, q: 5, j: 5, f: 1}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 28, 4, 2\/9, -8, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l + 4*g + 128 = 0, -g + 739 = 5*l + 162. Suppose 3*s + l = -5*b - 9, 42 = -b - 4*s. Let a = b - -38. Calculate the remainder when 46 is divided by a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 16711862 and 14.\nAnswer: 116983034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:15 AM and 11:51 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 4*q + 10. Let b(o) = -5*o - 12. Let u(h) = 5*b(h) + 6*g(h). Determine u(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r**4 + 512*r**3 + 4222*r**2 - 170408*r + 319800 = 0.\nAnswer: -246, -25, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i\/(i*i*((i\/i**7)\/i)\/i))\/(i*i**(3\/13))*i**(1\/7)*i*i**(2\/21) assuming i is positive.\nAnswer: i**(1913\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -361 - -328. Which is the nearest to 0? (a) 0.2 (b) w (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 653732.1ml to litres.\nAnswer: 653.7321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000007695016 rounded to 7 dps?\nAnswer: 0.0000077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.64, -11.6, -2\/21, 0.1, 10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 divided by 11.\nAnswer: 21\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 2860*o**2 - 52*o - 2. Let g(m) = -22*m**2. Calculate c(g(p)).\nAnswer: 1384240*p**4 + 1144*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = l + 3*l. Suppose 8*h - 3*h = l. Suppose 3 + 19 = 2*q + h*p, -5*q - p = -28. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14234 + 28481 + 25625*o**3 - 14247.\nAnswer: 25625*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 - 434302403?\nAnswer: -434302410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z be (8 - -1) + (-4)\/(-8)*8. Let r = 18 - z. Sort -4, -1, 1, r in decreasing order.\nAnswer: r, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 2*w**2 - w - 6. Let r be j(-2). Differentiate -149*l**4 - 54 + l**2 - l**2 + 144*l**r wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be -28*(-3)\/(-24)*-14. Let m = w + -10. What is the remainder when 231 is divided by m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.04946*435.17\nAnswer: 21.5235082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -47 = -7*c + 2*c - 4*s, -2*s = 2*c - 20. Suppose 15 = 6*m - 141. Suppose c*a + 2 = -m. What is the second biggest value in a, 5, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a millimeter in micrometers?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -25*n**3 + 88*n**3 + 24*n**2 - 16*n**2 - 15*n**2 wrt n.\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (12\/10)\/(12\/40). Let p = 30 - 30. Solve p = -4*g - y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of v**6\/15 + 15*v**5 - 77*v**4\/3 - v**3\/3 - 892*v. Find the third derivative of y(x) wrt x.\nAnswer: 48*x + 1800","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -x + 13 - 14 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14594355.1 + -0.26.\nAnswer: 14594354.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0.4 (b) -1\/7 (c) 0 (d) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = -50 + 48. Let w(d) = -2*d**2 + 13*d. Let v(b) = -3*b**2 + 12*b. Let m(z) = s*w(z) + 3*v(z). Factor m(c).\nAnswer: -5*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 212925695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cs when two letters picked without replacement from ztyzycsykttysc?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 9*g**3 + g**2 + 3*g + 3*g - 2*g**3 - 8 + 0*g**2. Let i(r) = 6*r**3 + r**2 + 5*r - 7. Suppose 89 + 901 = 199*z - z. Give z*y(f) - 6*i(f).\nAnswer: -f**3 - f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/(-8)*7*10. Let x be ((-14)\/w)\/(2\/20). Suppose x*u = 229 - 65. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is de6 - -133?\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -826988.37 rounded to the nearest 10000?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 3*i - 4*i + 2*i - 1 + 3*i**2. What is the remainder when l(-3) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1001, 1042, 1123, 1256, 1453, 1726, 2087?\nAnswer: 2548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1328)\/(-144) + -9)\/((-14)\/18)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 + 4 - 5 + 2 - 3*l.\nAnswer: -3*l + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 3\/7, 1\/6, -19, -4, 5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 92697351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 4:12 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 90, 0.5, 0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 158*u + 193. Suppose 46*w - 41*w - 55 = 0. Is y(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -728712.324 + -366.51.\nAnswer: -729078.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -8*c**2 - 6. Let z(b) = 2 - 7 + 2*b**2 - 4*b**2 - 5*b**2. Let t(a) = -5*y(a) + 6*z(a). Let s(d) = -d. What is t(s(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o = -5*g + 22 - 3, -14 = -4*g + 2*o. Let r = -46 - -24. Calculate the remainder when g is divided by (-3)\/15 + r\/(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - 156 = -a, -2*p - 3*p + 5*a + 150 = 0. Suppose 196 = 5*w + 2*w. Suppose 180 = p*s - w*s. List the prime factors of s.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3 - -3.03. Let o = -0.03 + s. What is the third smallest value in o, -1, -3\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*16.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**2*b**13)\/(b**(1\/4))**26)**(-13\/2) assuming b is positive.\nAnswer: b**(-221\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 8*p**2 - 11*p + 20. Let l(g) = 3*g**2 - 4*g + 7. Give 4*b(v) - 11*l(v).\nAnswer: -v**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 879 = 58*y - 6 - 101 for y.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.7 - -0.65. Let p = 0.05 - f. Sort 0.4, p, 2\/13 in descending order.\nAnswer: 0.4, 2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1*-1274.\nAnswer: 127.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 1424162 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*z - w - 317, -9*z = -5*z - 3*w + 265. What is the third biggest value in z, -2\/5, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 2, x: 7}. Give prob of picking 2 i and 2 x.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n = 946 + -1175. Let o = 522 + n. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 225 * 1419.\nAnswer: 319275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = 5*d**3 + 12015*d**2 - 60199*d - 14. What is x(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 1789684126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 22.59, -2, 5\/3, -4\/9, -1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-72)\/(-378)*-7*(-1)\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 7*p - 9*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 36598406?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 739310 divided by 609.\nAnswer: 739310\/609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 360 and 180.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.074 - -85.926. Let s = -86.0057 + j. Round s to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/2 of a centimeter in millimeters?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**2 - 25*a - 64. Let c be w(-22). Suppose c*n + 5 - 25 = -2*j, -15 = 3*j. Calculate the remainder when ((-57)\/6)\/((-1)\/6) is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-24)\/48*-1*10\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -2d90e (base 15) in base 2?\nAnswer: -100011111011011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = -13*w - 34. Let q be c(-3). Solve -7 = -l - 4*a, -2 = q*l + 2*a + 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -8*f + 10 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2.245 - 4?\nAnswer: -1.755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:44 AM and 12:31 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2236*x**2 + 100*x - 2583820?\nAnswer: 4472*x + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1656*g**2*z**3 + 2*g**2*z**2 + g**2 + 23876*g*z**5 - 1013689*z**2 wrt z.\nAnswer: 9936*g**2 + 1432560*g*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -3*r + 5. Let l(j) = 2*j - 3. Let f(a) = 3*b(a) + 5*l(a). Let q(y) be the first derivative of 1\/2*y**2 + 0*y + 1. Calculate f(q(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 723002745 to the nearest integer?\nAnswer: 26889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 176304 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 0.4321794 microseconds?\nAnswer: 0.0004321794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -704 - -704.4. What is the closest to -1 in 3, -0.6, m?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 416 divide 284499488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 17995, 72036, 162121, 288250, 450423, 648640, 882901?\nAnswer: 1153206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 7039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 2) + (-16 - (-19 + 8)) - (2 + 56)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 9 - 8 - 230*h + 232*h. Let u be q(1). Suppose 0 = u*w + 2*s - 257 - 96, s = 2*w - 233. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (24\/18)\/((-2)\/12*2). Let f(u) = -3*u - 8. What is the remainder when f(o) is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 137, 0.2, -0.04, -1\/2, -4 in descending order.\nAnswer: 137, 0.2, -0.04, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dx when two letters picked without replacement from {a: 4, x: 3, d: 3, t: 3}?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -431, -864, -1287, -1694, -2079, -2436, -2759?\nAnswer: -3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) = 10*g**3 - 22*g. Let n(c) = 9*c**3 - 22*c. Calculate -7*n(s) + 6*x(s).\nAnswer: -3*s**3 + 22*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11.57 - -3.43. Is 0.3 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from hdhdhddhdhhd.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) be the third derivative of i**9\/72 + i**5\/10 + 7*i**2. Find the third derivative of r(b) wrt b.\nAnswer: 840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(110) - (sqrt(110) + 6*(sqrt(110)*2 - sqrt(110)) + sqrt(110) - sqrt(110)))*-4)\/(-6*3*(sqrt(10) - sqrt(10)*-2)).\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + (1 - -1 - 1) - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from {b: 7, e: 3, p: 2}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - b = -0*b - 20, 4*b - 20 = 0. Let c = x + 18. Let v = c - 30. Solve -3 = d - 4*k + k, 0 = 5*d - v*k - 9 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -24*u**3 + 1. Let s be j(-1). What is the highest common divisor of s and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3079 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1, 4\/3, 0.4836?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -288 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -70, -61, -52, -43, -34, -25?\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 103\/3300 and -23\/375?\nAnswer: 16500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-12)\/36*2\/(2\/(-3)). Let g be (-99)\/18 + 3\/(-2) + f. Find the common denominator of -41\/166 and (g\/12)\/((-10)\/102).\nAnswer: 830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 17, 256, 551, 932, 1429, 2072?\n\"Answer: 5*t**3 - 2*t**2 + 210*t - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2330888, -4661777, -6992666, -9323555?\n\"Answer: -2330889*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 365110502?\nAnswer: 2, 182555251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67 + 3 = 2*s. Suppose s - 3 = 8*p. Let f be 6\/p*((-5)\/(-3) - -1). Solve 4*g + 8 + f = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*i**3 + 1114*i**2 + 1232*i + 288 = 0. Calculate i.\nAnswer: -36, -4\/5, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 48\/5 of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.181 - -0.321. Sort 0, 2\/9, m in descending order.\nAnswer: 2\/9, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -69\/5 or -15?\nAnswer: -69\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d**2 + 0*d**2 - 2*d**2)*((d + 5 - 5)*(0*d - d**2 + 0*d) - 5*d**3 - 4*d**3 + 4*d**3).\nAnswer: 18*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 5, -4, 1\/3, 1734?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is ((-201048)\/(-1))\/6 - (-14)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = 2*g**2 + 244*g + 5635. Give l(-30).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9449489 is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 3*y**3 - 6*y. Let g(k) be the second derivative of 2*k**3\/3 + k**2 - k. Let h be g(-2). Let f(c) = -c. Determine h*f(p) + a(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -1.72 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.8 - 0.87. Let g = 16.93 - j. Let w = g + -16.99961. Round w to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30228851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in seventeen quarters of a kilogram?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.3*131589.\nAnswer: -171065.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4\/6 - 69\/9. Let x(o) be the second derivative of o**4\/24 + 5*o**3\/3 + 2*o**2 - 4*o. Let j(p) be the first derivative of x(p). Calculate j(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 3*d - 24. Let o be b(12). Let z = o + 20. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) be the second derivative of n**3\/6 - 86*n. Let q = 71 - 77. Determine g(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 531*q - 42253922 = -15898268. Is q a multiple of 166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -5632\/1685 > -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -117266 at least -1376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - (-4 + -2 - (-4 + 12 + -21)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 12 or 8167\/637?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -30241*w**5 - 139*w**4 - 2*w - 5572500?\nAnswer: -604820*w**3 - 1668*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 36 and 54828.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Multiply -31 and -1.5.\nAnswer: 46.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*b + 27 - 27)*(219 + 232 + 775).\nAnswer: -4904*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1895)\/55 - -16 - -19. Let o = -257\/77 + 32\/11. Sort v, -0.16, -2\/3, o.\nAnswer: -2\/3, o, -0.16, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 2e9 (base 16) to base 5.\nAnswer: 10440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -902, -1805, -2708?\n\"Answer: -903*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 1722, -135, -3.5?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eieih. What is prob of picking 1 e and 1 i?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1315 + -2?\nAnswer: -1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/(-8) + 1 + 0. Suppose f + 46 = 45. Is v at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) be the first derivative of 3*b**3 - 5*b**2\/2 + 13*b + 2064. Give a(2).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes before 1:02 AM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -106*a**3 + 46*a - 15740 wrt a?\nAnswer: -318*a**2 + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 29267680 to the nearest integer?\nAnswer: 5410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -976 + 857 + 3*g**2 - 612 to c + x*g**2 + u*g and give c.\nAnswer: -731","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 270893?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wiwn when four letters picked without replacement from nwnwiwnwwwwnnwwnnnwn.\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.51337l to millilitres.\nAnswer: 9513.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.11 and 35942.\nAnswer: 3953.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -9, -1, 98 in decreasing order.\nAnswer: 98, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 4349233 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -206 > -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 10 = -x, -3*x + k + 18 = -3*k. Calculate the common denominator of -75\/4 and (-1)\/x*(-112)\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 417*q = 30024 - 45870 for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 8802675.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -3659415 divided by 10607?\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the first derivative of -8*f**3\/3 - 1829. Let s(j) = 313*j**2. What is s(z(w))?\nAnswer: 20032*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o = -8.99999892 + 9. What is o rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(2 + sqrt(325) + 0 + 3))**2 - (5 + (sqrt(364)\/sqrt(7))**2 + (sqrt(637) - sqrt(637)*-4)).\nAnswer: 165*sqrt(13) + 1343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**2. Let i(s) = 2660748*s. Determine l(i(j)).\nAnswer: -7079579919504*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 - -4. Let a(b) = b**2 + b**2 - 2*b - b**n + 3. Let r be a(2). Solve 0 = -5*p + t - 20, 3*p + r = 2*t - 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 161 less than or equal to 151?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1820 less than 1492?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -2\/5, -3, -263?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 184 at most as big as 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = 1565*b**2 + 11*b - 44. Let x(w) = -391*w**2 - 3*w + 12. Give 6*t(i) + 22*x(i).\nAnswer: 788*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 11358\/(-186) - -42 - (-2)\/31?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (-39*l - 26*l - 3*l)*(15*l**2 + 76*l - 76*l) + (l - 6*l + 2*l)*(-2*l + 2*l - l**2) as w + u*l**2 + s*l + n*l**3 and give n.\nAnswer: -1017","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 558 is divided by 22.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -43.4961 to the nearest integer.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 13203 + 211?\nAnswer: 20020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and 18.82?\nAnswer: -9.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 16816 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-15)\/(-4))\/((-2)\/8). Let x be 20268\/m + -2 + 0. Let r = -1360 - x. What is the common denominator of r and -30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 35429 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13*686.\nAnswer: 8918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*v + 19*v = 29*v + 360 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 - g + 1. Let h(l) = 4*l**4 - 4*l**3 - 10*l**2 - 4*l + 4. Let q(b) = h(b) - 4*t(b). What is the third derivative of q(x) wrt x?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-6 - -1 - -1) + -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -838679\/181890 + -2\/10105. What is the common denominator of (-29)\/(-1 + 30\/2) and q?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -3*i - 2*t, -t - 1 = i + 2*t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 0 at most as big as -8\/1055?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p = 202 + -144. Suppose -2*h + 38 = -p. Suppose -5*g + 2*o + 57 = 0, 4 = 3*o + 7. What is the lowest common multiple of h and g?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3217 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -45153*g + 270912. Determine a(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1 + -121071624610?\nAnswer: -121071624610.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1605642 plus 0.622063?\nAnswer: 1605642.622063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 2394.62 - 2423. Let w = 28 + a. Round w to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 2 - 2 = 0. Let a = b - -1. Suppose 3*h + a*o = 196 + 128, -3*h + 331 = -4*o. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -96*f**2 - 4*f - 10. Let a(w) = -19*w**2 - w - 2. Let x(c) = 11*a(c) - 2*h(c). Let b(n) be the first derivative of x(n). Is b(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (278 - 141 + 3*h - 95)*(38 - 38 - 8*h).\nAnswer: -24*h**2 - 336*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) = q. Let p(d) = 2. Let n(h) = -p(h) - 3*v(h). Let c be n(-2). Suppose -y = c*y - 320000. Round y to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from klllklllllkllkkksk. Give prob of sequence lklk.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 175 divide 2385775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Express 12*v + 6 - 10*v**2 - v**2 + 0*v**2 + 9*v**2 - 3 as k + q*v + f*v**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-40)\/(-64)*6*(-32)\/8?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i be 39\/(-117) - (-1 + (-1514)\/6). Let t = i + -240. Solve 0 = 11*c - t*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-192)\/136)\/12 - 187891\/3553.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -56*n**3\/9 + 6284*n**2\/9 + 12736*n\/9 + 2132\/3 = 0 for n.\nAnswer: -1, 1599\/14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -1777*f - 57753 = -12075 + 28956 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (1089 - 995) + (-98 - -1) - (6 - -1 - 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*h + 297 = -627. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = c - 1. Let f be y(5). Suppose -m + h - 9 = -0*m, 5*h = f*m + 33. Let r be (24\/(-5))\/(m\/1000). What is r rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 + 2. Suppose q - c*q = -w + 50, q + 2*w + 59 = 0. Let v = 208 + q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 797 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 {g: 1, b: 2, w: 1, y: 2, n: 1, x: 1}. What is prob of picking 1 x and 1 w?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xaia when four letters picked without replacement from aiiaxiiixiixiaiiiixi?\nAnswer: 13\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {x: 5, c: 2, y: 3, v: 1, o: 1}. What is prob of sequence oxx?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f be (5 - 3)*(-2 + 7). Suppose 3*n - 4*o - 13 = 0, -4*n + 3*o + f = 5*o. Solve 0 = -4*b - n*j + 5*j - 18, -15 = 4*b - j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 297\/12 - (-2)\/8. Suppose r = 5*o, 0 = -4*n + o - 161 - 148. What is n rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -n**2 - 618*n + 6284. Give r(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -204 divided by -4.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*l**3 - 4*l**3 + 6*l**3)*(-3*l + l**2 + 3*l + 4*l**2 - 2*l**2 - l**2 + (-5*l + 5*l - l)*(7 - 2*l - 7)).\nAnswer: -4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -21 + 13 + (-20 + 6 - 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 671531679?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 316 or 309?\nAnswer: 316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6 + -9 + -3 - -63*(-3)\/(-30).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(1 + sqrt(704) - sqrt(704))**2 - ((sqrt(11) - (sqrt(11) + (1 + sqrt(275))**2)) + (1 + sqrt(99) - sqrt(11))).\nAnswer: 8*sqrt(11) + 278","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -2*s - 5. Suppose 4*h + 5*v - 16 = v, 2*v = 3*h - 17. Let t be y(h). Does 9 divide (-10 - -1)*40\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -23 (base 5) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find y, given that -2*y**2\/5 - 101842*y - 23419428\/5 = 0.\nAnswer: -254559, -46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 67557, 67765, 67967, 68163?\nAnswer: 68353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 58 + -56. Let b = 1 - 1. Let k = b + 3. Is l at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 639663 and 0.3.\nAnswer: 191898.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -188 = -7*p + 862. Let q be (0 - 11)*(-210)\/p. Is q at most 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 3*17.482\nAnswer: 52.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6221.\nAnswer: 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*z + 1865 - 1625 = -0*z for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -0*l. Let a = 2 + l. Solve 6*z = a*z + 12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -38\/177 and -19\/92715.\nAnswer: 5470185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence adaa when four letters picked without replacement from {a: 9, d: 9}.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**3\/7 - 6568*y**2\/7 - 5385754*y\/7 + 10797796\/7.\nAnswer: -2*(y - 2)*(y + 1643)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (x + 0*x - 3*x)*(-39*x**2 + 89*x**2 + 131*x**2) to s*x**2 + d + z*x**3 + r*x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**2\/7 + 73*h\/7 + 44.\nAnswer: -(h - 77)*(h + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 75674 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the first derivative of -25*u**4\/4 - 25*u**3\/3 + 15. What is the third derivative of m(f) wrt f?\nAnswer: -150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -15*k*r**3*y + 72*k*r**3 + 22*k*r**2*y**2 - 71*k*r*y**2 - 18*k*y**2 + 22*r**3*y**2 - 2*r**2*y**2 - 2*r**2*y - 18*r**2 wrt r?\nAnswer: -90*k*y + 432*k + 132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -9090 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.8, -4, -3.8745 in increasing order.\nAnswer: -4, -3.8745, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*j = 512 + 113. Calculate the highest common factor of 110 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - -1. Suppose 2*u = -3*u + 5. Solve u = -n*c + c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.25 * 0.07.\nAnswer: -0.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -48*m - 45. What is g(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l**(-10)*l*l**(4\/5))**(1\/30))**(-1\/42) assuming l is positive.\nAnswer: l**(41\/6300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.3 and 953225.15298801?\nAnswer: 953224.85298801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 7, -2, -19670, 2, -3, 62 in increasing order.\nAnswer: -19670, -3, -2, 2, 7, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*c**2 - 8*c**2 + 0*c**2)*(-3 + 3 + 6)*(4*c + c - 7*c).\nAnswer: 132*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 1 plus -1695708624?\nAnswer: -1695708623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**(2\/19)*w*w\/((w\/(w**2\/w))\/w))\/(w*w**(1\/3))**(-42))\/(w**(1\/6)*(w\/w**(-2))\/w*w*w*w*(w*(w\/(w*w*w**(-1\/4)))\/w)**(39\/4)) assuming w is positive.\nAnswer: w**(55861\/912)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5, -4\/9, 7751, 217?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11808 - 11508. What is the greatest common factor of v and 13275?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3\/2, 5, -327, -2\/13, 1 in increasing order.\nAnswer: -327, -2\/13, 1, 3\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the first derivative of -848*i**5\/5 + i**4\/2 - 1222*i**3\/3 - 12. Find the third derivative of v(u) wrt u.\nAnswer: -20352*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -46044*f + 21918?\nAnswer: -46044","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4426 and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 1 - 1 + 4 - 4 - 2 + (-3 + 5 - 1)*(1 + 0 + 1) - 4 + 3 - 1 - 5 + 3 + 1 + (7 - 2 - 4)*(-4 + 3 + 2))*(-534*r**2 + 0*r**4 + 523*r**2 + 3*r**5 - 2*r**4).\nAnswer: -3*r**5 + 2*r**4 + 11*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 642333273?\nAnswer: 3, 353, 409, 1483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x**2 - 3*x - 7. Suppose 16*d = 17*d - 34. Let j = d + -29. Let o be u(j). Solve h = -v + o*h + 11, 3*h + 10 = -5*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1995, 1959, 1893, 1791, 1647, 1455, 1209, 903?\nAnswer: 531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*r + 13*r + 54. Let n = r + 11. Solve -n*q = -4*t - 2, -5*t - 5*q - 33 = 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**2 + 34*u + 125. Let m be b(-30). Let h(k) = -8*k - 5. Let z(d) = -44*d - 28. What is m*z(c) - 28*h(c)?\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (20 - (-9 - -6)) + (13 - 16)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*sqrt(133) - sqrt(133))\/sqrt(7) + (sqrt(19) - (sqrt(931) + 2)**2).\nAnswer: -935 - 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the third derivative of z**6\/360 - 7*z**5\/120 + z**3\/6 - z**2. Let y(u) be the first derivative of g(u). Let f be y(7). Solve f = o + o - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 2*b**3 - 5*b**2 - 14*b + 2. Let z be r(9). Suppose -8*w = z - 4537. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -2845 or -2847?\nAnswer: -2845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1673550, 6694242, 15062064, 26777016, 41839098, 60248310, 82004652?\n\"Answer: 1673565*a**2 - 3*a - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2624*x - 4971*x - 2582*x.\nAnswer: -4929*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 14608 and 91632?\nAnswer: 1007952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 204911716 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 656*p**2 - 9*p + 7. Let u be a(-5). Let g be 4\/((-9)\/(u\/(-8))). Suppose -3*w + 3403 = -g. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(g) = -2*g + 1. Let n(c) = 2*c. Let v(a) = -4*l(a) - 3*n(a). Let d be v(3). Suppose d*h - 15000 = 5*h. What is h rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 162 > 140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.3, -3\/71, 2\/7, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 3*w + 1. Let u(p) = -22*p. What is u(a) + 4*z(a)?\nAnswer: -10*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify h*h**(9\/7)*h*h*h\/(h\/h**(-6))*(h**26*h)**44 assuming h is positive.\nAnswer: h**(8304\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/120 and -129\/3869740.\nAnswer: 23218440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -y**2\/7 + 54*y\/7 - 104\/7.\nAnswer: -(y - 52)*(y - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g + 2 = 2*z, 3*g + 8*z + 84 = -0*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t be -4 + 2\/4 + (-86112)\/(-24596). Which is greater: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-22333)\/19305 + 6\/10. Let l = -4\/351 - x. What is the third smallest value in l, -1, 2\/7?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1370016 and 96480.\nAnswer: 6850080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 11, t: 3}. What is prob of picking 2 h and 2 t?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**3 + 12*f**2 + 4*f + 31. Calculate n(12).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 18110927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x = 2*d - 5*x - 23593, -2*x - 35414 = -3*d. Is d a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -1643*c + 94836. Give s(58).\nAnswer: -458","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(n) = n**2 - 5*n + 7. Give p(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2.85, 3.23, 130?\nAnswer: 2.85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b = 448.1 + -451.087. Let h = -2.81 - b. What is h rounded to 2 dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 139\/5424 and 109\/28656?\nAnswer: 3238128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Work out -538362 * -6.3.\nAnswer: 3391680.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -29520*k**2 + 10590*k**2 - 3605*k**2 to the form a + j*k**2 + h*k and give j.\nAnswer: -22535","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -4\/5 (b) -2.1 (c) -1\/18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 6:30 AM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 33\/8, 2.6, -0.0882, 2\/9 in ascending order.\nAnswer: -0.0882, 2\/9, 0.3, 2.6, 33\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-1)\/(((-1)\/24)\/((-14)\/8)). Let n = d - -43. Put -2, n, -5 in decreasing order.\nAnswer: n, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 25231927 and 655823?\nAnswer: 479406613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 0 + 8 = 0. Let d(f) = 4*f**2 - f - 1. What is the tens digit of d(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 67\/3 and 53\/52287.\nAnswer: 52287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7350 and 270?\nAnswer: 66150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.0156132 + -829797\nAnswer: -829797.0156132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply 7 and -0.6.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 2*a**2 + 27*a + 270. Is u(-18) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/(-20)*-10*2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 209 minutes before 3:08 PM?\nAnswer: 11:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-26)\/(-4) + 2\/4. Suppose 3*x = 5*o + 2, -3*x - 5*o - 6 = -2*x. Which is the nearest to -0.1? (a) x (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:49 PM and 7:17 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 291405079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -14*h + 10. Let n be k(1). Which is the third smallest value? (a) 3\/7 (b) -2 (c) 19 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**3 + 12*j**2 - 10*j - 13. What is x(11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/17, 0.9049, -30 in increasing order.\nAnswer: -30, 2\/17, 0.9049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0*(0\/(-2) + 1). Solve y - r = t, 0 = 4*y - 0*r - 3*r - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 10 + 145 - (369 - 343).\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 300*j**3*k + 2*j**3 - 3*j - 520*k wrt j?\nAnswer: 900*j**2*k + 6*j**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2)*(-z + 4*z - 2*z) - z - z + 4*z + (-5 + 5 - 4*z)*(6 - 4 + 3).\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9231684?\nAnswer: 2, 3, 7, 11, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 29\/156 and -19\/60.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = 14*m - 779. Suppose -8*h + m - 25 = 0. Let z(k) = k**2 - k - 2. Let j be z(-2). Solve -j*b = -h*b + 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -214193 divided by 22\nAnswer: -214193\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*c*s - 106*c + 11*s - 10 wrt c.\nAnswer: -2*s - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 546.456l to millilitres.\nAnswer: 546456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = x**2 + 796*x - 82796. What is t(93)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*f - 3*f - 2*f**2 + (3*f - 4 + 4)*(-2*f + 10 - 10).\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0.11, -3, 2\/7, -2\/5, -14, -1\/5 in ascending order.\nAnswer: -14, -3, -2\/5, -1\/5, 0.11, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 39141.\nAnswer: 3, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -260*w**2 - 5*w + 271*w**2 + 2*w**5 - 8*w**5 - 9*w**4 wrt w?\nAnswer: -360*w**2 - 216*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*q**3 + 105*q**3 - 53*q**3 - 41*q**3.\nAnswer: -21*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f = -5 + 5.32. Let p = f + 452.68. Let j = 453.1347 - p. Round j to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -84523, -84801, -85079, -85357, -85635, -85913?\n\"Answer: -278*o - 84245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -293191*a**3 + 310*a**2 + 327*a.\nAnswer: -1759146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((0 - 2) + 17)*(-3)\/(-9). Suppose 2*j + 378 = 2*x, -g*x + j = -j - 951. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seven halves of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 16 - 12. Let q(a) be the first derivative of 0*a + 0*a**2 + 0*a**w + 2\/15*a**3 - 2\/25*a**5 - 2. Factor q(d).\nAnswer: -2*d**2*(d - 1)*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 169, 444, 719, 994, 1269?\n\"Answer: 275*z - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 1, 4 in descending order.\nAnswer: 8, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 117 + 44*p**2 - 59 - 58.\nAnswer: 44*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-336)\/294*2\/(-8).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -999*h**2 - 3676*h - 9. Calculate c(-4).\nAnswer: -1289","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = -22 - 5*r - r + 11 + 16. Let j(n) = n - 1. What is -11*j(b) - 2*s(b)?\nAnswer: b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = x + 2. Let p be n(0). Let j = 33 + p. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5319066528181 minus -1?\nAnswer: -5319066528180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-396)\/10)\/((-63)\/(-210))*-1. Suppose 2*u + 3*j = 88, 12*j = -3*u + 11*j + z. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3429 and 127?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 30112.\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-1728)\/(-144) + (-3 - 0). Let v(l) = l**3 - 10*l**2 + 13*l - 43. Give v(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 9, p: 6}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 2*y - 113 = -125, 27 = 3*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2201*r**3 + r**2 - r**2 - 148*r**3.\nAnswer: 2053*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 256038627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 50 - 26. Suppose -2*w + 4*w + z = 5*o, 5*o = 4*w + 28. Solve o*l - 20 - 2 = -2*n, -2*l = 3*n - 13 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 1, w: 4, n: 1, j: 2, s: 1}. Give prob of picking 1 j, 1 n, and 2 w.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 538 + 199?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = -10*t + 14. Give s(6).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-20)\/20150*31*(-25)\/2?\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -1397612064 times 0.5\nAnswer: -698806032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -373100\/37 or -10085?\nAnswer: -10085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**3 + 7*m**2 - 27*m - 78. Let s be c(-9). Let z(n) = -2*n**2 + 87*n - 241. Let u be z(s). What is p in p**3 + 1\/2*p + 7\/4*p**u - 1\/4 = 0?\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w**2 - 2*w - 1. Is d(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x so that 3*x**3 - 1920573*x**2 + 307303668081*x + 25519436993481 = 0.\nAnswer: -83, 320137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in thirty-two fifths of a century?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 0.6167641um?\nAnswer: 0.0006167641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -8361098*0.1\nAnswer: -836109.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3068 = 4*y - 30*y. Does 59 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -10071629 by 3.\nAnswer: -10071629\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -110101 + -12122312?\nAnswer: -12233013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -100732 = -966*k + 5528 for k.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15 + -11. Solve 0 = -2*n - y*q + 6, -3*q + 9 = 5*n - 13 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -803 + 2077. What is the smallest common multiple of d and 1078?\nAnswer: 14014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1184 and 6.\nAnswer: -7104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4 + 0. List the prime factors of 8508\/24 - 2\/s.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2845814 - 2845782 = -2*z for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -29 + 40. Let p = -507 - -510. Suppose 0 = p*n - 2*j - 10, -2*n + u = n - j. Sort -3\/4, 1\/6, n in increasing order.\nAnswer: -3\/4, 1\/6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12.27*-6.\nAnswer: -73.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -c + 5, 0*w = 3*c - 3*w - 27. Let f = c + -4. Solve -3*x**4 - 9*x**2 + 11*x**f + x**3 - 3*x**3 + 3*x = 0 for x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21759 = p - t, -113088 = -5*p - 2*t - 4314. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 14*l - 58. Let f be g(11). Calculate the highest common factor of 12 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 19 + -21. Which is the nearest to l? (a) 0 (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -100*x**5\/3 - 20*x**4\/3 + 164*x**3\/3 + 4*x**2\/3 - 64*x\/3 + 16\/3 = 0. What is x?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -0.1 (b) 1\/183 (c) 2 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b be 37616\/(-18) - 0\/(-1). Let p(n) = -233*n**2 - 2*n - 1. Let d be p(-3). Let c = b - d. Which is bigger: -1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 9, g: 2, k: 8}. What is prob of sequence zzzk?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -5*y + 50. Let k(c) be the third derivative of -c**4\/24 + 5*c**3\/3 - 13833*c**2. What is 4*j(u) - 22*k(u)?\nAnswer: 2*u - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u be -54 + (-10286)\/(-185) + 46*6\/(-160). Let y = -2 + 2. Which is the second smallest value? (a) 0.01 (b) u (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -3, -50\/3, -64?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g - 10. Let z be m(7). Let t = -1 - z. Which is the third biggest value? (a) 0.1 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 68 + -51. What is the remainder when 67 is divided by q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45*o**5 - 145*o**4 - 75*o**3 + 125*o**2 + 120*o + 20 = 0. What is o?\nAnswer: -2, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -838*h**4 + 5456*h**2?\nAnswer: -20112*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4)\/6 - 16\/(-6). Suppose 0 = -v*d + d. Suppose 4*l - 2*l - 12 = d. What is the smallest common multiple of l and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 105286753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (0 + -2)\/(14 + -9).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 786*y + 1542*y - 69328 = -143*y + 51751 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:24 PM and 6:02 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 4, -3\/2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 13 = 3*g, -3*g - 14 + 30 = z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 2*t**2 - 22*t + 3. Let p be x(11). Differentiate 248 - 27*h**p - 220 + 7*h**3 with respect to h.\nAnswer: -60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 287*f - 1. Is s(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 7 (b) -0.027 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 310919649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = -110.724 - 0.276. Let f = 113.64993 + -2.70893. Let b = f + z. Round b to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p - 11. Calculate the remainder when 14 is divided by z(-15).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 37 * 282838.3\nAnswer: 10465017.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1060, -1074, -1110, -1180, -1296?\nAnswer: -1470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3414*a**2 - 68*a + 68*a - 20224*a**2.\nAnswer: -16810*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -12.82 + -0.18. Let o = 13.1 + r. Let m = -0.2 - 0.3. What is the closest to o in 2, m, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 160317105 to the nearest integer?\nAnswer: 12662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 0.726*-57\nAnswer: -41.382","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -18, -38, -58, -78, -98?\n\"Answer: -20*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0 - -1. Suppose 4*b = 5*b - 16. Let w be -3 + 4 + b + r. What is the greatest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 1 - 6)*(-4 - 5*o + 4) + 2*o + 2 + 2 - 3*o + (7 - 12 + 8)*(3*o - 2*o - 2*o) to b + x*o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1569 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/((-825)\/100*(2 - 0))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the third derivative of -1\/8*y**4 + 0 - y**2 - 5\/6*y**3 + 0*y. Suppose -5*x + c = -2*x + 11, -4*c + 4 = -2*x. Determine u(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 11544 and 3432?\nAnswer: 126984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -b1 + 2c54b?\nAnswer: 2c49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 310472185.\nAnswer: 5, 509, 121993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 199\/2 - 102. Suppose 0 = -9*l + 12*l. Which is the nearest to -1? (a) -3 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 2*p**2 + 23*p - 6. Let k be d(-12). Is 6803 + 2 + -6 + k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 14 - 10 = 0. Suppose -3*d + t = 0, -2*b + 3*d = -b - 46. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2825\/7 + -8482\/21. Is d >= 132.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 5 = -3. Let z be 5\/(15\/18) + d. Solve h + 6 = z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 3*y = -3*z + 26, -2*y - 6 = -2*z. Solve 12 + 3 = z*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 2043*h. Let m(n) be the second derivative of -n**4\/3 + 4453*n. Give t(m(k)).\nAnswer: -8172*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:00 PM and 7:39 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -10*o - 32. Calculate y(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is ((-38)\/(-80)*5)\/(6*6\/288)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 2*w + 36. Let a be j(-7). Let u = 417 + -252. Calculate the least common multiple of 108 and -4 - (a\/u - 784\/30).\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 63 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 51508 is divided by 223?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-21)\/(-63) + (-2)\/9. Let v = 1\/24 + 5\/8. Suppose 23*f - 21*f - 4*y + 10 = 0, 0 = -4*y + 12. What is the fourth biggest value in 3\/7, f, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in 1, 1\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = 9*i + 3. Let p(q) = -8*q - 2. Suppose -194*f = -204*f - 30. Determine f*z(y) - 4*p(y).\nAnswer: 5*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = 2*c - 31, -c = -4*o - 3*c - 18. Does 16 divide 26\/91 - ((-6210)\/o)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = q**2 + 3*q - 7. Suppose 3*o = c - 0 - 16, 29 = -5*o + 4*c. Let m be b(o). Find the second derivative of a**m + 4*a - 6*a + 0*a**3 wrt a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) be the first derivative of -2*m**3\/63 + m**2\/7 - 4*m\/21 - 30. Find l such that p(l) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(23\/5))**29 assuming b is positive.\nAnswer: b**(812\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.227 - -151.773. Let c = -148 + p. What is the smallest value in 2, c, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/16 of a second in microseconds?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -61*h**2 + h + 3. Let r(a) = -6*a. Give r(o(y)).\nAnswer: 366*y**2 - 6*y - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 44.2592 millilitres in litres?\nAnswer: 0.0442592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(77) - (sqrt(77) + (sqrt(77) + (sqrt(77) - (sqrt(77) + 1*sqrt(77) - sqrt(77)) - sqrt(77)))*-6) - sqrt(77) - sqrt(77))\/(-1*sqrt(539)).\nAnswer: 2*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14099892 and 804.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (476 + -3)\/43 + 197\/(-18). Let m = -435 - -679. Let h be m\/(-36) + (-4)\/18. Is h bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -41*f + 23. Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = c**2 - 4*c - 7. Let f be u(6). Solve 0*d + 3*d = -r - 11, 0 = -3*r + f*d + 37 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.274 + -42.974. Let m = -55 - p. Round m to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -317624\/1433 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the second derivative of -55*o**6\/6 - 91*o**4\/4 - 174*o. Find the third derivative of i(j) wrt j.\nAnswer: -6600*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -37021*x - 370243. What is h(-10)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f + 6. Let j be a(6). Suppose 3*x + j = 90. Suppose 3*z - 24 = 5*s, -z + x = 3*z - 4*s. Solve 16 = t + z*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1125*m - 185*m + 140*m = 1255*m - 155200 for m.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -2*r + r + 132, 0 = -3*r + 3*m + 432. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 334 - 2003\/6. Suppose -3*g = g + 12, 6 = -3*s - 3*g. Let v = -19\/5 + 16\/5. Sort s, r, v in increasing order.\nAnswer: v, r, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 94708.6 centuries?\nAnswer: 113650320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -20 - (11 + 8 + -23 + 9 + -9 - -14)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ibccccciccicic. What is prob of picking 1 c and 1 b?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*s**2 + 3*s**2 - s**2)*(0 + 3 + 2) + 12*s**2 - 1489*s + 1489*s + (0 + 2*s + 0)*(-s + 3*s + 0*s) as a*s**2 + h*s + b and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (119*t + 58*t + 215*t)*(-5*t**2 - 2*t**2 + 2*t**2) to n*t + a*t**2 + h*t**3 + d and give h.\nAnswer: -1960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 60242455, 60242463, 60242475, 60242491, 60242511, 60242535, 60242563?\n\"Answer: 2*v**2 + 2*v + 60242451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -g + 2 = 0, -5*k + 3*k + 3*g = 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9*(-1167)\/4725 - 330\/(-154)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.693 less than 3100016049?\nAnswer: 3100016049.693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 714785105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 19 = g. Let z be (-2)\/7 + 20\/70. Let o be z - (2\/2 - 29). Calculate the greatest common divisor of o and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 860275.2 decades?\nAnswer: 8602752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 597100957 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1284*k**2*u**3 - 6*k**2*u**2 - 4*u**2 wrt u?\nAnswer: -7704*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.04102 to three decimal places.\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 65*g - 3909. Give y(59).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6400397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 38735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -16*v**2 + 27 + 124196*v - 25 - 124196*v.\nAnswer: -16*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 89\/3308250 and -179\/529320.\nAnswer: 13233000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**3 + 7*i**2 - 5*i - 4. Let w = 8 + 88. Suppose -8*v + 144 = w. Determine u(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 299\/5 + -60. Let f = -2.5 + 2.51. Let u = f - 0.01. Which is the nearest to 2\/3? (a) d (b) u (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r + 0*r**2 + 372 + r**2 - 2*r**2 - 375. Let q(h) = -7*h + 8. Let j(b) = 15*b - 17. Let g(t) = -6*j(t) - 13*q(t). Give -3*g(s) + 2*m(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1\/619 + -1307\/42711. Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.3 (b) -14 (c) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 179676283922*g**2 - 4*g**3 - 179676283922*g**2.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a be 306\/12 - (-1)\/2. Let o = 18 - a. Put o, -1, 3\/4 in descending order.\nAnswer: 3\/4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 6*n**3 + 5*n**2 + 8*n - 58. Let s(o) = -2*o**3 - 2*o**2 - 3*o + 19. Give -3*b(y) - 8*s(y).\nAnswer: -2*y**3 + y**2 + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -3 (c) 55\/47 (d) -2\/11 (e) 1 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 18\/2*(-61)\/3294*-204\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 1333182833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round 11529400 to the nearest one hundred thousand.\nAnswer: 11500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -67796 + -13?\nAnswer: -67809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Add 11 and -14.9.\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert -14a131c (base 13) to base 4.\nAnswer: -121023122000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 115, -366, -40, -1, -3 in ascending order.\nAnswer: -366, -40, -4, -3, -1, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange d**4 + 137*d**3 - 1 - 136*d**3 + 2*d**2 + 2 + 2*d to u*d**2 + x*d + f*d**4 + v + o*d**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 85.63266l in millilitres?\nAnswer: 85632.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22 + -20. Let t(p) = 14 + 4 + 13*p + 1 + p**2 + q. Let a be t(-11). What is the second smallest value in -0.3, a, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 23\/2004 and -17\/7348.\nAnswer: 22044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -153*i - 1465 = -11354 - 668 for i.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 68183040*s + 17983650.\nAnswer: 68183040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-27876)\/1111)\/((-2)\/11). Calculate the highest common factor of 759 and v.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 40 - 8. Suppose 0 = 6*i - b + 212. Find the common denominator of -17\/6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22807 + -22791. Solve -q = 4*i, -19*k + 21*k = 2*i + 14 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1832 + 7.7.\nAnswer: 1839.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 12134104 (base 5) to base 15.\nAnswer: 240a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 39\/125 and -67\/69500?\nAnswer: 69500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h be (666\/15)\/(4\/10). Suppose 75 = 3*t + 4*s - 51, h = 3*t - s. Let y = 45 + t. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 201*w - 2. Suppose -6 = -4*u + u. Let l be n(u). What is l rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -5704 + -2411. Let s = -52885 + w. What is s rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/((10\/(-6))\/5). Suppose -f*o = -1 - 5. What is the remainder when 4 is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + 6 + -31 + (2 - (21 - 20))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 426e (base 16) in base 7?\nAnswer: 100403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 0.254856m in micrometers?\nAnswer: 254856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 4451214?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8.1 - 0.9. Let b = c - -8.8. What is the nearest to 1 in b, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4855 (base 15) to base 10\nAnswer: 15380","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 - -0.11026.\nAnswer: 0.51026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 3182004 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Let q = -347.2 - -347. Sort q, 0.73, -0.1, -2\/3 in decreasing order.\nAnswer: 0.73, -0.1, q, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: (7 - -7) + -31 + 24\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(102) + -2*sqrt(102))*-5)\/(sqrt(144)\/sqrt(6) + sqrt(6)) + 5.\nAnswer: -10*sqrt(17)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 753599909 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify g*g*g\/(g*g\/g**(4\/7))*g*g*g\/g**12*g assuming g is positive.\nAnswer: g**(-45\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 7*15*36\/378\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = h - 1. Let u be l(3). Suppose 2*j + 0 = -u. What is the units digit of -4*(j + 2\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000009731 rounded to seven dps?\nAnswer: 0.0000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in 14, 0.4, -0.1, -0.2, 9, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((f\/(f*f*f**1*f*f))\/f)\/f*f)\/f**(-1\/3))**44\/(((f*(f*f**(-1))\/f)\/f)**14*(f*((f*f*f**(-1\/2))\/f)\/f)**(-45)) assuming f is positive.\nAnswer: f**(-1013\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 7 = x, -20*t = -3*x - 16*t - 28. Solve 17*q + 6*q = x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.4 + -0.5. Let l = 0.3 - f. Let h = -1265\/7 + 181. What is the closest to -1 in -1, l, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16378765189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be 3\/(-2)*8*1\/6. Sort -4, 3, p, 2 in decreasing order.\nAnswer: 3, 2, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 477*u**4 + 50*u**3 + 91217*u + 7?\nAnswer: 5724*u**2 + 300*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/14380718 and -97\/18302732.\nAnswer: 201330052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -88 = -5*c + 9*w, -5*w + 199827 = 4*c + 199781 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8, -26, -44, -56, -56, -38, 4, 76?\nAnswer: 184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = b**2 - 16*b - 392. Let y be x(31). What is the greatest common divisor of y and 6351?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3049.\nAnswer: 3049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = 24\/17 + -449\/306. Which is smaller: -1 or s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 0.3, -0.2, 20.75 in ascending order.\nAnswer: -1, -0.2, 0.3, 20.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -308 - -310. Suppose -23*n + 21*n + 13 = 3*p, l*p - 8 = -2*n. Suppose -3*v = -0*v - 15. Solve p*c - 2*f = -25, 2*f + v = -5*c - 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: -0.215 times 0.08\nAnswer: -0.0172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 19200 rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (12\/8 + (-4 - (-6)\/12))*-124 is divided by 150?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -69.2 - -1.2. Let z = 67.7 + a. Put -1\/2, z, -3 in increasing order.\nAnswer: -3, -1\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(3\/4)\/c)**(-46)\/((c*c**(-3\/2)*c*c)\/((c*c*c**(-2\/33))\/c)) assuming c is positive.\nAnswer: c**(361\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 19839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 93 and 60543?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*l - 4*y + 6 = 0, 0 = -9*l + 6*l + 3*y + 27 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -77 - -72.4. What is t rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.2 + 0. Let o = 0.0433 + 270.9567. Let i = o - 271. Which is the closest to n? (a) -3 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 208 + -208. Let p = -1.04 - -0.64. What is the nearest to p in r, -5\/6, 0.4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 79 and 2449?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1.08 + 1. Let a = -0.08000104 - c. Round a to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15288227?\nAnswer: 15288227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of p**3 - 8*p**2 - 91*p + 3224?\nAnswer: 3*p**2 - 16*p - 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -4584 - -4641. Calculate the remainder when 229 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 125983707?\nAnswer: 3, 41994569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1321 + -1316. Solve -m + b = -4, c*b + 13 = -m - 7 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -8297 < -24890\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Divide 10716 by 5.\nAnswer: 10716\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 11 + (-9 - (-7 + 2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -461 + 221. Let d be (p\/64)\/(2\/(-8)). Calculate the greatest common divisor of 5 and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 7.832926 hours?\nAnswer: 28198533600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32*r - 31*r = 2*m - 33, -5*m = -5. Let d(q) = -q**3 + 8*q**2 + 2*q - 5. Let v be d(5). Let n = v - r. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 74591*-29\nAnswer: -2163139","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*q = -2*z - 19*q + 19 + 6, 0 = -z + q + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = -8*w. Let s be u(-4). Suppose 3*g - 28 = s. Suppose 5*h - 25 = 0, 3*o + 4*h - 7 = 25. Calculate the lowest common multiple of o and g.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 576*l - 2666 - 1330 = 132*l for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 4*q**3 - 10*q**2 + 26*q + 24. Let x(y) = 7*y**3 - 19*y**2 + 54*y + 40. Give 5*k(w) - 3*x(w).\nAnswer: -w**3 + 7*w**2 - 32*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**3 - 6*m**2 - 3*m + 2. Let g be o(-6). Solve 3*b = -4*l - g, 3*b - 3*l + 2 = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4142621 (base 7) to base 16.\nAnswer: -79952","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:45 AM and 10:49 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2 or 74150?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 39*h - h**3 + 1821*h**2 - 25*h - 18*h + 38 - 1810*h**2. Calculate q(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*o**3 - 2*o**3 + 6*o**3)*(-184 - 365*o + 58 + 130) to r*o**2 + c*o + v*o**4 + d + w*o**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*b + 4*b - 10. Let v(u) be the third derivative of u**4\/12 - u**3 + 3*u**2. Determine v(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*x + 2, 0 = -4*q - x - 7 - 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 74713 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 5*l**2 + 3*l - 2. Let q(d) = -d**3 + 6*d**2 - 12*d + 39. Let b be q(5). Let w(z) = 6*z**2 + 4*z - 3. What is b*w(t) - 5*s(t)?\nAnswer: -t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/12 + 13 + 30\/20?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3296.6 - -3293.6. Let s be (2 - 1)*(-4 - -3). What is the closest to 0.1 in -21, a, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 2 + -1. Let j be 4 + -2 + (k - 7). Calculate the common denominator of -63\/8 and ((-642)\/(-48))\/(3\/j).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*f**4 + 0*f + 0 + 30*f**3 + 28*f**2 + 1\/2*f**5.\nAnswer: f**2*(f + 2)**2*(f + 14)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that 16*b**2 + 21100*b - 5276 = 0.\nAnswer: -1319, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m + 3. Let q be c(0). Suppose -5*y - q*o = -128, 0 = -y - 2*o - 3*o + 8. Calculate the remainder when y is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -13617 divided by 4539\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jvr when three letters picked without replacement from rvvvrrrvjr.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1699 - 1746. What is the second smallest value in -0.2, n, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -24673 divided by -1?\nAnswer: 24673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5\/5)\/((7\/(-6))\/(-7)). Solve 0 = -5*u + 1 - g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 2\/21 (b) -11 (c) 1 (d) 0.1 (e) 17\/42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) be the second derivative of 0*l**3 + 0*l**6 - 1\/21*l**7 + 0*l**5 - 13\/12*l**4 + 0*l**2 + 0 - 9*l. Find the third derivative of p(r) wrt r.\nAnswer: -120*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.7818035 centuries to months.\nAnswer: 938.1642","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33349652?\nAnswer: 2, 7, 29, 67, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -14\/55 and 113\/26124950.\nAnswer: 287374450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2 + (-9450)\/55 - 10\/55. Let g = u - -206. What is the least common multiple of 27 and g?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 14.631 - -0.369. Let y = -1 - -1. Which is the third biggest value? (a) y (b) 0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 105956466?\nAnswer: 2, 3, 7, 11, 229343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.26833 and 50456997.8?\nAnswer: 50456997.53167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + (4 - 4) - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -199 divided by -128.\nAnswer: 199\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -183 divided by 35\nAnswer: -183\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 15180 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oxxxxszsrfxsx. Give prob of sequence srf.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 47052 (base 9) to base 6.\nAnswer: 401202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*d**3*z**3 + d**3*z**2 + 1036*z**3 + 26*z**2 wrt z.\nAnswer: 12*d**3 + 6216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -p + p - 2*p**4 + (3*p + p**2 - 3*p)*(-p**2 + 1 + 5*p**2 - 3*p**2) + 6*p - 6*p + 17*p**4 in the form x*p + o*p**3 + c + f*p**2 + h*p**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -19 divided by -93\nAnswer: 19\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express -3*x + 17*x - 5*x + 4*x in the form b + o*x and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -3798764 (base 11) to base 4\nAnswer: -121013300132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -112 + 51543322?\nAnswer: 51543210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f be -4*(784\/192 - 4). Sort 0.1, -0.3, -1.7, f, 0.5 in descending order.\nAnswer: 0.5, 0.1, -0.3, f, -1.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 74503 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 103931267 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 12 + -2311?\nAnswer: -2255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -643, -10, 10, -5 in descending order.\nAnswer: 10, -5, -10, -643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5767947 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 8*a**2 - 162*a + 172. What is l(19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -72060.9 rounded to the nearest one hundred?\nAnswer: -72100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = 68*t - 74*t. Is t != 18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 + 9*l**2 + 7*l - 7. Let c be h(-8). Does 0.89 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3003601mg in tonnes?\nAnswer: 0.0000000003003601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.24? (a) -2\/9 (b) 8\/9 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.3 + -6.7. Let m = -7.3 - g. Round m to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 574538 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -43 + 39.6. Let r = -7.4 - v. Which is the nearest to -1\/3? (a) r (b) 0.4 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -j**3 + 12*j**2 - 3*j - 18. Let b be w(11). Suppose 0 = 3*h + 3*x - b + 10, -61 = -2*h + 5*x. Solve p - 5*u - 9 + 36 = 0, 0 = -p - 5*u + h for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, 60, 0.5755, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p = -76 + 81. Let z(q) be the first derivative of -3*q**4 - 5*q - 7*q - 42 + p*q**4 - 15*q. What is the derivative of z(n) wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1211192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 1, -0.03, -0.6, 1996?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 131\/4 - 33. Let d = 8.2 - 0.2. What is the third smallest value in d, -0.5, k?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**3 + 2*x**2 - x + 1. Let f be y(2). Let m = f - -1. Let h(n) = 3*n + m*n - n. Let o(p) = -p. Give o(h(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of h**4*l*n - 2*h**3*l - 38*h*j*n + j*l*n - 3*j*n + 5*j - 2*l wrt h?\nAnswer: 4*h**3*l*n - 6*h**2*l - 38*j*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -34\/5, 0, -5889\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.58 - 0.68. Which is smaller: -75 or x?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 + 9. Let t = 5 - 0. Suppose u + y*u - t = 0. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4677 - -4682. Let q = -73\/583 + -3\/53. What is the second biggest value in 4, 0, q, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47102698 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3799026 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -115*h**3*m*z**2 - 16*h**3*m + 2*h**2*m*z**2 + h**2*z + 2*h**2 - 235*h*m*z**2 wrt h.\nAnswer: -690*m*z**2 - 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of 6 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -7*v + 10*v + 13*v + 10*v. Let y(b) = -2*b. Give k(y(x)).\nAnswer: -52*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2 + 19*x - 62. Let b be t(15). Let o be ((-1)\/(-2))\/((-1)\/(-24)). Let s be (-78)\/o - (-6)\/4. Put b, s, 2 in descending order.\nAnswer: 2, b, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 73\/5268992 and 111\/1280.\nAnswer: 26344960","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Express c**2 - 10 + 35 - 2*c**3 + 3*c**3 in the form u*c + h*c**2 + g + p*c**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = 2*w - 9. Let c(b) = 4*b - 19. Let f(d) = 4*c(d) - 7*k(d). Suppose -5*m = -2*g - 54, 2*m - 26 = -2*g + 5*g. What is the units digit of f(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y - 5*c - 12615 = 0, -4*c + 6924 = 5*y - 2117. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.4, 0.3, -1\/6, -44, -0.13, 10 in increasing order.\nAnswer: -44, -1\/6, -0.13, 0.3, 0.4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 125 (base 15) to base 11.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = l. Let r(k) = 3. Let x(b) = -r(b) - 4*s(b). Let u be x(-6). Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2744565 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -776 - -847. What are the prime factors of s?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g = y + 6, 3*y - 105*g + 110*g = -14 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = 3*d + 12, d + 2*a + 20 = -3*d. Let f(z) = z**2 + 6*z + 3. Let r be f(d). What is the second derivative of -v + r + v**3 - 3 wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 0.1 (b) -5 (c) -0.23 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17139394.\nAnswer: 2, 41, 197, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 33356769 to the power of 1\/2, to the nearest integer?\nAnswer: 5776","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -w = -2*w. Let m(k) = -5*k - k + 5*k - 5 + w*k. Let x be m(-6). Which is the nearest to x? (a) 2 (b) 3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 9 + (-28 - 2) + (-1 - -7)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 2*d + 3. Let t = -23 - -10. Let w = 10 + t. Determine q(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2731416763284 plus 74?\nAnswer: -2731416763210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 110605 or 110600?\nAnswer: 110600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = q - 1. Let w(f) be the second derivative of f**4\/12 - f**3\/2 + 5*f**2\/2 + 2*f. Let x = 1 - 2. Let d(t) = x*w(t) - 5*p(t). Solve d(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 20497a3 (base 11) to base 3.\nAnswer: 20210122100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-150)\/12 + 1\/2)\/1.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.1 bigger than -61509580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1341084999 to the power of 1\/2, to the nearest integer?\nAnswer: 36621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = -27 + 48 - 11*q + q**2 - 30. What is the remainder when 743 is divided by f(17)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7125 and 95.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1740953 is divided by 1740910?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -41 + 11?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p + 3. Let i(f) = -4*f + 20. Let l(u) = u - 7. Let g(k) = 2*i(k) + 7*l(k). Let t be g(-9). Determine r(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16340901047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 19 = -10*s - 31 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 3446 (base 15) to base 9.\nAnswer: 16183","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9572?\nAnswer: 2, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25\/((-7)\/7)*(-12)\/(-30) + (-1 - -20).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 353510 * 0.02\nAnswer: 7070.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2720 - 2715. Let a(w) be the second derivative of w**4\/12 - 4*w**3\/3 + 25*w**2\/2 - 2*w. What are the prime factors of a(o)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = 16*a. Let y = 16317 + -16320. Let x(c) = 8*c. Determine y*p(k) + 7*x(k).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 1676006 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -31118*n**3 - 24902*n**3 - 6369*n**3 - 108719*n**3.\nAnswer: -171108*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Multiply 389 and 260.\nAnswer: 101140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 12*h**2 + 8*h. Let l = -18 + 19. Let i(w) = -w. Let y(s) = l*o(s) + 5*i(s). Factor y(z).\nAnswer: 3*z*(4*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8633882 to the nearest integer?\nAnswer: 2938","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -371426*h*o**3*u + 94*h*o**2*u**3 - 98*h*o*u**3 - 6300*o*u - 33*u**3 wrt o?\nAnswer: -2228556*h*o*u + 188*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(2\/25)*f)**(1\/3)\/(((f\/(f*(f\/((f\/f**(3\/17))\/f*f))\/f*f))\/f)\/f**33) assuming f is positive.\nAnswer: f**(14678\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5247 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1606 - 2716. Is (87\/9)\/((-10)\/j) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*o*q**2*s + 43631*o*s**3 - q**2*s**3 - 276833*q**2*s wrt o?\nAnswer: 2*q**2*s + 43631*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -3329, -3183, -3027, -2855, -2661, -2439, -2183, -1887?\n\"Answer: v**3 - v**2 + 142*v - 3471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 199749289?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 29516 and 188.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = n - 1. Let x(b) = b**2 + 5*b + 14. Let s(o) = -5*h(o) - x(o). Let y(w) be the first derivative of s(w). Let z be y(-5). Solve -t + 2 = -z*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*o - 888 = -2*n, 700*n - 4*o + 96 = 695*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (sqrt(45) + 2)**2.\nAnswer: 12*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - 1.03. Let p = k + 0.63. Which is the nearest to p? (a) 1 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/33, 11, -0.1, -4, -18, 0.3 in increasing order.\nAnswer: -18, -4, -0.1, -2\/33, 0.3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose z - 5*w = -6, 0 = -z + 5*z + 5*w - 26. Solve -z*a = -13 + 5 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.179876611 rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 154 = -4*s + t, 2*s - 3*s = 3*t + 32. Suppose -3*u - 111 = 5*b, 3*u = 3*b - 54 - 57. Which is greater: u or s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -22 + (29 - 7) + 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 40157888400 to the nearest 1000000.\nAnswer: 40158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*b + 379 = -5*l - 277 - 513, 0 = -21*l + 23*l + 5*b + 137 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 + 0 + ((-3)\/1 - 2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 64482, 128975, 193468, 257961?\nAnswer: 322454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*n + n + 3*n)*(-3 + 3 - 4*n)*(-4*n**2 + n**2 + n**2).\nAnswer: 16*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.5, -3, -38582?\nAnswer: -38582","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/17, -421, -0.3, -4\/9, 2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1018*q - 91 = -5*a - 1022*q, 3*q = -32*a + 153 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 70726378?\nAnswer: 2, 35363189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -8*n**3 + 25*n**2 + 117*n - 366. Determine y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -532764?\nAnswer: -532764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1 - (-10)\/(-12)) + 208\/(-96). Suppose -5*k + 3 - 10 = -4*t, 3*k = -2*t + 9. Let m = k + z. Let r(l) = -10*l**3 + 2*l + 1. Calculate r(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 354251.\nAnswer: 354251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -6, -9, -15, -4 in decreasing order.\nAnswer: -4, -6, -9, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 2*r**2 - 5*r + 2. Let l be (1\/4)\/((-3)\/(-36)). What is k(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5296070449 to the nearest integer?\nAnswer: 1743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from aav?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 171880?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18.2 - 18. Sort -1.6, 0.3, o in increasing order.\nAnswer: -1.6, o, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(99)*3)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -151*o + 12968. Let s(n) = n**2. What is d(s(q))?\nAnswer: -151*q**2 + 12968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(18)\/sqrt(384) + 1.\nAnswer: sqrt(3)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 1b + 29?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 795770813?\nAnswer: 23, 179, 283, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is h in -2*h**4\/13 + 122*h**3\/13 + 258*h**2\/13 - 378*h\/13 = 0?\nAnswer: -3, 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 4963, 19881, 44775, 79669, 124587, 179553, 244591?\n\"Answer: 4*q**3 + 4964*q**2 - 2*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 8:43 AM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 31132232200 (base 4) to base 13\nAnswer: 969583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -458*n - 2765. What is v(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -3*g - 6. Let q be h(-4). Let z be q\/(-24) - (-14)\/120. Which is the second biggest value? (a) z (b) 2\/15 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u - 8. Let n(d) = d. What is -a(p) - 2*n(p)?\nAnswer: -p + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 + 10. Suppose -12*y + 17*y = -3*k + 17, -4 = 4*k. Sort y, 1, j in ascending order.\nAnswer: 1, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 28157806 - 28157545.00111. Let d = l - 261. Round d to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4*n - 4*n + 3*n + 133*n**2 - 3*n + 2 as l*n**2 + d*n + v and give l.\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -24*m + 1092. Let s be u(45). Calculate the highest common factor of s and 7356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 18503489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply 28 and 0.75042.\nAnswer: 21.01176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is (7 - 1 - 5)*1110 - 0 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(360)*-2)\/sqrt(12) - sqrt(30)) + (2*sqrt(210))\/sqrt(7))\/(1*sqrt(110)\/((sqrt(11) + sqrt(11) + sqrt(44)\/sqrt(4))*2 - sqrt(11))).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k - k + 6*k + (3 - 4 - 1)*(k - k + 2*k) - 3*k + k + 0*k)*(-5*k**4 - 13*k**3 + 13*k**3 + (-1 + 1 - k)*(k**2 - k**2 + 2*k**3)).\nAnswer: 21*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/((-4)\/(-8)*1). Let i = l - 5. What is the third biggest value in 0.2, -1\/3, i, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/6*972\/(-16)*(-30)\/135.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:25 AM and 8:10 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = n + 3. Let o be v(-4). Let u(f) = 2*f**2 + 15*f + 8. Let b be u(-9). Let s be (190\/b - 4) + -2. Is s not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -25036229, -50072457, -75108683, -100144907?\n\"Answer: s**2 - 25036231*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(408\/(-8517)) + 42?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -54*j - 182. Let x(c) be the second derivative of c**3\/3 - 63*c. Let z(l) = -k(l) - 4*x(l). Find the first derivative of z(n) wrt n.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 3\/2 (b) 29 (c) -1\/9 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 31648 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*l + 22*l = -2*c - 13122, -13120 = -l + 3*c. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 17280000 to the nearest 100000.\nAnswer: 17300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 307722?\nAnswer: 2, 3, 51287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2713657.\nAnswer: 2713657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 87*r = -42*r + 146931. Does 62 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 34, -3, 7.\nAnswer: -3, 5, 7, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 238720 and 102948?\nAnswer: 16471680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -10011011110000000000 (base 2) to base 15\nAnswer: -c9052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -d - 4. Let y(m) = 2. Let v(a) = 2*j(a) + 5*y(a). Let q be v(4). Let w(c) = -c - 4. Let l be w(-3). Sort q, l, -5 in descending order.\nAnswer: l, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = w**3 + 2*w**2 - 11*w + 10. Let y be r(7). Suppose -28*n + y = -26*n. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 102370\/1059*(-162)\/(-180)?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -39, -82, -153, -252, -379?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/(-21)*(-42)\/(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rr when two letters picked without replacement from {l: 2, g: 3, r: 10}?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:21 PM and 1:45 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*h - 2*h + y + 100 = 0, 88 = -3*h - 4*y. Let o = -73\/3 - h. Suppose c + 0*c = 0. Which is bigger: c or o?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 983809770 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(612) - ((sqrt(612)*-1*5)**2 - sqrt(612))) + -3 + -2*(1 + sqrt(17))**2.\nAnswer: -15339 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20.72302621 + 0.02278421. Let n = 21.076 + -0.376. Let f = n + t. Round f to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.9*-0.52.\nAnswer: 0.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-4)\/(-40))\/(2\/(-5)). Let u = -1.1 + 1.3. Which is the second smallest value? (a) 3 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 26 + 0*o + 12*o + 14*o - 7*o + 6*o. Determine f(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*a + 19*a + 34*a + 42*a.\nAnswer: 65*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00002664891 rounded to 6 dps?\nAnswer: 0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o - 4. Suppose 10*v - 90 = v. Give k(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 995, 24, 6, 0.3, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6, 42, 106, 198?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of -49 + 0*k**4 - 8\/25*k**5 + 12\/5*k + 1\/15*k**6 - 17\/5*k**2 + 28\/15*k**3. Let i(h) = 0. What is h?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*p = -4*p - 8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -2*i**2 - 13*i + 18. Let o be b(8). Let n = -212 - o. Solve 1 = -k - n, -5*r + k + 28 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/69 or -40?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -635.6441688 + 434.6441817. Let r = m + 201. What is r rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 + 11 + 1 + -3 + (-92 - (-31 + 16))\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-48)*-8)\/(5\/(-50))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 364.5 + 1?\nAnswer: 365.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -24, -2, 2\/7, 7, 0.045, 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 3 + 260253\nAnswer: 260256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -6774480851 - 0.3?\nAnswer: -6774480851.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a millennium in months?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 897165167 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 2)\/(-10) - (-18)\/(-39).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -7*u - 95. Let p be j(-14). Let g(y) be the third derivative of 0*y - 1\/100*y**5 - 1\/40*y**4 + 0 + 8*y**2 + 0*y**p. Factor g(n).\nAnswer: -3*n*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 62 (base 15) to base 4.\nAnswer: 1130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15 divided by -15.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -y + 4*y + 15, y + 70 = p. Let h(o) = o**3 + 4*o**2 - 4*o + 1. What is the remainder when p is divided by h(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -94149.8 - -94150.1. Suppose -3*r = 3*l, -5*r - 10 + 4 = 3*l. What is the nearest to 4 in x, 1\/3, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-118*f**4 - 3240*f**3 + 2*f**2 + 874*f**4 + 3239*f**3)*(0 + 0 + 2*f).\nAnswer: 1512*f**5 - 2*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 3*p**3 - 6*p**2 + 8*p + 6. Suppose 79*b + 409 = -65. Let m(y) = -6*y**3 + 11*y**2 - 15*y - 11. Determine b*m(d) - 11*u(d).\nAnswer: 3*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**3\/15 - 6*j**2\/5 - 28*j\/15 + 16\/5.\nAnswer: -2*(j - 1)*(j + 4)*(j + 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = c + 1. Let z be w(-3). Let j = z + 2. Let f be 3*(30\/9 + j). Calculate the highest common factor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -191*y + 380*y - 196*y - 5*y**2.\nAnswer: -5*y**2 - 7*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -17. Suppose 3*p = k - 10, 245*p - 250*p - 20 = 0. Which is the second smallest value? (a) -1\/5 (b) t (c) k (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 2\/(-7) - 900\/35. Let o be (-1)\/5 - n\/5. Suppose -c - o = 4*c. Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*i + 25 + 7. What is the least common multiple of 22 and i?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -279 + 295. Suppose o*b = 23*b - 448. What is the smallest common multiple of b and 24?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 47877, 47849, 47821, 47793, 47765?\nAnswer: 47737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 14521.535 days to weeks.\nAnswer: 2074.505","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d + 2. Let v(q) = q + 4 - 4 - 1. Let s(o) = i(o) + 2*v(o). Let j(l) be the first derivative of l**3\/3 + 1. Determine j(s(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -30\/467 and -5\/6?\nAnswer: 2802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -118 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be (146\/8)\/((-16)\/(-1728)). Let f = j + -13775\/7. What is the common denominator of 23\/5 and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 229904 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 289 minutes after 7:45 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor -b**3 + 175*b**2 + 33928*b + 812348.\nAnswer: -(b - 298)*(b + 29)*(b + 94)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13463 is divided by 153.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2372 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -141\/76 or -2?\nAnswer: -141\/76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -2*y**2 + 2*y + 1. Let t(o) = -2*o**2 + 3*o + 1. Suppose 0 = 2*i - 2, -66*u + 25 = -68*u + 15*i. Determine u*t(v) + 6*n(v).\nAnswer: -2*v**2 - 3*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.644735cm to meters.\nAnswer: 0.04644735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p**2 - 12*p + 16. Let o be -2 + -1*(13 - 2). Let a be r(o). Suppose 0 = -i - 4*v + 15 + 47, a*v = -2*i + 144. Is 26 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 819496.\nAnswer: 2, 102437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - 16\/4)*-4. Let x be (-48)\/(-5) + z\/10. Calculate the greatest common factor of x and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/9, -5, 3, -2\/19, -0.2 in decreasing order.\nAnswer: 3, 2\/9, -2\/19, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 3, u: 1, y: 3}. What is prob of sequence pu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 618 is divided by 57?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from luuzuuluzlzzullu. What is prob of sequence uluz?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10930?\nAnswer: 2, 5, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 + 8 = 3*g. Suppose 3*s + g*f - 36 = -f, 2*f = -3*s + 32. Calculate the remainder when 31 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 17 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -14cdb + -176?\nAnswer: -15073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68524 + 87828 = 16*g. What is the thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/z**(2\/21))\/z*((z*(z**3*z)\/z*z*z)\/z)\/z)\/((z*z**1\/z)\/z**(-2\/7))*z**(1\/9)*z\/(z\/(z\/(z**(-7)*z)))*z**(1\/9)\/(z*z**4\/z) assuming z is positive.\nAnswer: z**(368\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19736 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 17966787001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 3299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 p, 1 e, and 2 o when four letters picked without replacement from rcmpmereo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(sqrt(187) - (sqrt(187) - sqrt(187)*-2)))\/sqrt(11).\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -140 + 1818\/13. What is the nearest to 0.2 in -0.1, -4, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1100101100011 (base 2) to base 15.\nAnswer: -1dd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2.5 - 0.5. Let l = 0.02 + 2.98. What is the second biggest value in 0.1, l, w?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2.4 greater than or equal to -1913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*q**2 - 7*q**2 + 3 - 1 + 0 to c + a*q**2 + j*q and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 23.95 + -24. Let y = -0.99862 - -0.94862053. Let z = i - y. What is z rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 9 in 2, -1\/6, 539, 1\/2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 38095856549 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.11, -4\/9, -1\/6, -4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1*2)\/(1 - (2 - 2)). Let b be (7\/21)\/(p\/(-162) - 0). Solve -2*w - w + b = -3*a, 32 = 4*w - 3*a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 n when three letters picked without replacement from pjfpjpjspnsps.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 4*c**3 + 174*c**2 + 574*c + 527. Determine h(-40).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 2*k + 31 = 0, j + 2*j - 3*k + 24 = 0. Put -2\/3, 0.2, j in decreasing order.\nAnswer: 0.2, -2\/3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -4.941 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**2 + 3*r - 1. Let w(c) = -3*c**2 - 5*c + 2 + 15*c**2 - 10*c**2 - 2*c. Determine -7*g(y) - 3*w(y).\nAnswer: y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -361*j**5 - 535*j - 83*j - 843*j**2 + 845*j**2 wrt j.\nAnswer: -7220*j**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 8, h: 4, z: 2}. Give prob of picking 2 z.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d be (3\/2)\/(3\/4). Suppose -a - d*a - 2*r + 28 = 0, -25 = -2*a + 5*r. Let m(v) = -v**2 + 11*v - 1. What are the prime factors of m(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -200 + 121?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is (78\/4)\/((-5)\/(-280)*12) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 - (-26 + (-10 - -1) + 22)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -40, -14, 38, 122, 244, 410, 626, 898?\n\"Answer: c**3 + 7*c**2 - 2*c - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 54, 113, 268, 567, 1058, 1789?\n\"Answer: 8*f**3 + 3*f + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**2 - 2*y + 3. Let p be z(3). Suppose u + 110 = p*u. Let q = -15 + u. Calculate the remainder when 12 is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 29*u + 4. Let q be k(2). Let r = q + -37. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -148148.877 + 13\nAnswer: -148135.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -2*h - 17. Let d be n(-9). Let c be d + 3 + -2 - -2779998. What is c rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -5.8890196 + 0.8890186. Let u = -5 - b. Round u to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 153191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 6) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence axx when three letters picked without replacement from xxaxxaaxaaxxxxxxxax?\nAnswer: 52\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 27 = -3*s, -18*s + 22*s = 5*v. Suppose -f = 2 - 6. Suppose -n + 5 = 0, 2*n + 21 = f*h - n. Sort s, h, 5 in decreasing order.\nAnswer: h, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -28 divided by -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from uiuioiuuui. Give prob of picking 2 u and 2 i.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3906201025?\nAnswer: 5, 156248041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.5 - 40352642796432.\nAnswer: -40352642796432.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 94687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**4 + 18*t**3 + 49*t**2 - 140*t + 78. Let p(b) = -4*b**4 + 72*b**3 + 197*b**2 - 558*b + 311. Let m(k) = 9*f(k) - 2*p(k). Factor m(x).\nAnswer: -(x - 20)*(x - 1)**2*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -782, 1.1, 5, -6\/13?\nAnswer: -782","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 4.041687um?\nAnswer: 0.000000004041687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 118935 divided by 5\nAnswer: 23787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, k: 9}. Give prob of picking 2 x.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 701577?\nAnswer: 3, 137, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 2*r - 6. Find the third derivative of 5*o**2 + 0*o**2 - 4*o**3 - r*o**2 wrt o.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4241642?\nAnswer: 2, 563, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 200102221 (base 3) to base 15.\nAnswer: 3eb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1368.2263 - 0.2263. Let r = q - 1557.4. What is r rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 170*k = 1579 + 631 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 14 - 11. Suppose -2*y + 165 = -t*s, 6*s - s = y - 100. What is the second derivative of 6*m - 7*m**5 + 75*m**4 - y*m**4 wrt m?\nAnswer: -140*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -47\/35 - -15\/7. Which is the closest to 3? (a) y (b) 0 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z = -0*z + 9. Suppose -n + 18 = -4*g, -n - z*g = 2*g + 18. What is the lowest common multiple of n and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -40460, -40467, -40478, -40493?\nAnswer: -40512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83 is divided by (((-220)\/(-8))\/(-5))\/(3\/(-12))?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.5 + 1.5. Let l be (-52)\/12 + (-4)\/6. Which is the closest to i? (a) 0.3 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(sqrt(187) + (sqrt(187) - 4*3*sqrt(187)) + sqrt(187))*5)\/((sqrt(110)*3 + sqrt(110) - sqrt(110))\/sqrt(10) + -4*sqrt(11)*2).\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/6*((-18)\/16)\/(891\/(-108))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 4.95 to 1 dp.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -5.8 times -0.6443694?\nAnswer: 3.73734252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 - -2. Suppose -d*j = -2, 3*j + 5 = 2*n + 2. Let p be 142\/9 + (-4)\/(-18). Solve -n*m = 7 - p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.3 at least as big as 1180\/147?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -1 + 1 - v**2 + (4 - 4 - 2*v)*(v - 4 + 4) + (34*v + 8*v - 6*v)*(3 - 5 + 1)*(107*v + v + 25*v) in the form x*v**2 + p + h*v and give x.\nAnswer: -4791","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 3*d - 11. Let a be 2\/(2\/3) - (9 - 19). Let t be u(a). What is the greatest common factor of 56 and t?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.6811134 millilitres?\nAnswer: 0.0006811134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**2 + 1. Let o(w) be the third derivative of w**4\/8 + w**3\/3 - 27*w**2. Let a(i) = -i**2 - 9*i - 9. Let d be a(-8). Let j be o(d). Determine b(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9\/((-63)\/(-2)))\/2*2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4*b**2*i**3 + 2*b**2*i**2 - 3*b**2*i - 23*b*i**3 + 3*i**2 wrt i?\nAnswer: -24*b**2 - 138*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -222 (base 4) to base 7.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3*c**2*o*s**2 - 2*c**2*o*s + 2*c*o*s + 3*o**3*s**2 + 18*o**3*s + 2*s**2 wrt s?\nAnswer: -6*c**2*o + 6*o**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 403.79 times -51?\nAnswer: -20593.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 203 minutes after 10:49 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j = 161 + -89. Calculate the highest common factor of j and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 226*p**3 - 185*p**3 + 127*p**3 + (3*p + 3*p**2 - 3*p)*(2 + 2*p - 2) + 2*p**3 - 3*p**3 - p**3.\nAnswer: 172*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 175044, 350112, 525180?\n\"Answer: 175068*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 + 8*g**2 + g - 54. What is u(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -14 in 39, -2\/5, 16126?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 PM and 4:38 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide 219413 by 701.\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 675.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + m + 5 = 0, 2*p - 3*m + 10 = -5*m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand j**4 - 3*j + 3*j + (j - 5*j + 2*j)*(3379*j**2 - 3379*j**2 - 2*j - 127*j**3).\nAnswer: 255*j**4 + 4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -0.02 * -0.358\nAnswer: 0.00716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 51 a factor of 82314?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**0)**(-17\/5)\/(o**(-2\/31)*o**(-2\/21)\/o)*((o\/(o\/o**6))\/o*o*o\/((o*o*o**2)\/o))\/((o*o**(-4\/9)*o*o)\/o**(2\/3)) assuming o is positive.\nAnswer: o**(6388\/1953)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*s**2 + 7*s**2 - 7*s**2 + s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18157\/3352 + -1\/10056. Find the common denominator of -43\/20 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d**5\/7 - 64*d**4\/7 + 248*d**3\/7 + 64*d**2\/7 - 36*d = 0. What is d?\nAnswer: -1, 0, 1, 7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r + 1 = -3*n, 2*r = 7*r + 5. What is the remainder when 13 is divided by n*(0 + 12\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*k - 3*k + 3*k + 14*k - 2*k + k + (-3*k + 2*k + 0*k)*(-3 + 2 + 3) + 4 - 63*k - 2 + 2 - 4.\nAnswer: -50*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-4)\/14)\/((-18)\/378). Let l(t) = -3 - n*t - t + 4*t. Calculate l(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2653915388 to the power of 1\/2, to the nearest integer?\nAnswer: 51516","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 10*x**2 - 5*x + 32. Let i(b) = -9*b**2 + 4*b - 33. Give 6*d(g) + 7*i(g).\nAnswer: -3*g**2 - 2*g - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Subtract -8641150 from -4.36.\nAnswer: 8641145.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**3 - 8*l**2 + 14*l + 7. Let c be z(-9). Let y = c + 51. Is y a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (v + 4*v - 6*v)*(-1 + 1 + 3) - 11*v + 30*v - 20*v - 20 in the form j + b*v and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = 82\/15 - 1421\/120. Let a(x) = -17*x + 95. Let j be a(6). Do m and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -66 = -41*d + 73 + 25 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5394667.\nAnswer: 29, 186023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 1036 (base 12) to base 7.\nAnswer: 5106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -25 (b) 93 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, j: 1, o: 1, r: 1}. Give prob of picking 1 a and 1 o.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s**3 - 2*s**2 + 2*s + 1. Let a be q(3). Suppose y + 3*y - a = 0. What is the third derivative of -y*h**5 + 1 - 1 + 2*h**5 + h**2 wrt h?\nAnswer: -120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -61, -65, -71, -79, -89, -101, -115?\n\"Answer: -g**2 - g - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -3811, -3664, -3419, -3076, -2635?\nAnswer: -2096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*y**5 + 42305*y**4 - 161100*y**3 + 34060*y**2 + 237440*y = 0.\nAnswer: -1696, -1, 0, 2, 14\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1522440000 rounded to the nearest 1000000?\nAnswer: 1522000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 294 a factor of 3226944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 485501970 to the nearest integer?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 124, 827, 2074, 3913, 6392, 9559, 13462, 18149?\n\"Answer: 8*l**3 + 224*l**2 - 25*l - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the second derivative of -r**4\/12 - 3*r**3\/2 - 9*r**2\/2 - 3*r. Let s(f) = 4*f - 3. Calculate the smallest common multiple of s(3) and q(-7).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-5847)\/(-30) + ((-210)\/(-14))\/150 is divided by 40.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 + 2. Let h(b) = -1719 - 3*b - 3*b + 5*b - 7181. Let c be h(v). What is c rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -20 - 2220350?\nAnswer: -2220410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/5? (a) -5\/6 (b) -5 (c) 7\/132\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 125 divide 267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -1175 equal to -1177?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m be 27\/((4 + -3)\/(-1)). Let h = 32 + m. Suppose -3*u**h - 17*u**3 - 9*u**3 + 29*u**3 = 0. What is u?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 20911\/6 - 3469. Find the common denominator of (-712)\/(-60)*-2*1\/4 and o.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*w**2 - 3*w + 4*w**2 + 30*w + 44*w + 80 - 54 to the form d + l*w**2 + o*w and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 153, 284, 415?\n\"Answer: 131*m + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5\/21 or 698?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (1493 - 1373) + -3 + -4?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 21931 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -21 = -5*n - 2*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6 - -22?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*i + 8 = -5*i. Solve 0 = 5*m - 3*m - i for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 803 is divided by 396?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2006776 is divided by 33?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 1, s: 5, r: 3, l: 2, t: 3, b: 1}. Give prob of sequence sstr.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-4) + (-6)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mnnnnmnnnnmnwnnnnnnn.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 5781 = 5*q + 9439, -2*q = 5*o - 25315. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*o**2 - 2721*o - 1086 = 0. Calculate o.\nAnswer: -181, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w(p) = p + 11 + p**3 + 5*p**2 + 3*p**2 - 29 + 20. Let d = -192 - -184. Determine w(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 - -10. Let b be 6*(-2)\/4 + 57. Let l = b + g. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -228\/13? (a) 5\/7 (b) 0.1 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 8 divided by -6037?\nAnswer: -8\/6037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hz when two letters picked without replacement from rdrkdhrrzdz?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = j + 8. Let x be u(-6). Suppose b - 36 = -x*b. Let h = -7 + b. Solve 4*r - r = -5*o + 20, -h*o = -3*r - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 15 and 363?\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 162757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 42*f - 23*f - 12*f + 6*f.\nAnswer: 13*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 67093 - 4*b**2 - 67093.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p - 9 + 1 = 0. Which is the smallest value? (a) 3 (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1694136515 to the nearest integer?\nAnswer: 41160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 66\/(-21) + 10 + 276\/(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 91*h**3 + 4*h**2 + 29*h + 17. Let p(n) = 30*n**3 + n**2 + 10*n + 6. Let x(y) = -4*c(y) + 11*p(y). Is x(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 993333 is divided by 2913.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6178500 and 9000.\nAnswer: 12357000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 124, 20, -84?\n\"Answer: -104*m + 228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7984861 and 397?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 59413582 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -478, -1724, -3802, -6712, -10454?\n\"Answer: -416*g**2 + 2*g - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -509*z**4 - 150*z**2 - 221286 wrt z?\nAnswer: -2036*z**3 - 300*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1869\/63 + (-7 - (2 - 4)) - 5 and (-2)\/(-13)*(0 - -14).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 4 - -33752?\nAnswer: 33756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 6) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.005 + -0.195. What is the biggest value in i, 3.4, 2\/5?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -12 in -4, 0, 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3431287002 a multiple of 1529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*y - 93*y - 4*y + (-3*y + 0*y + 2*y)*(-2 + 5 - 2))*(-3 + 0 + 4)*(-3 - 6 - 7).\nAnswer: 1664*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*w**5\/5 + 51*w**4\/5 - 41*w**3\/5 - 7*w**2 - 6*w\/5 = 0 for w.\nAnswer: -1, -1\/3, 0, 6\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 + 4*a + 180. What are the prime factors of b(0)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(27)\/sqrt(144) + -3*sqrt(27).\nAnswer: -35*sqrt(3)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 38643972 divided by -10852\nAnswer: -3561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 43 - 40. Let h(p) = 30*p + 8 - x*p + 19*p + 3*p + 13. Let k(u) = -12*u - 5. Determine 5*h(a) + 21*k(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) be the first derivative of t**4\/2 - t**3\/3 - t**2 + 4*t + 26. Let n(g) = 4*g**3 - g**2 - 3*g + 7. Calculate -4*n(k) + 7*r(k).\nAnswer: -2*k**3 - 3*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 19145473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*m + 279 = 370. Solve r = m*r + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 5, -9, 18, 2584, -1, 0.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 65, 8, -5, -7, 3, -4 in increasing order.\nAnswer: -7, -5, -4, 3, 8, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 + 5. Suppose l*s = -s - 9. Let q be (30\/9 + s)*6. Solve 7 = -2*o + 5*g - 7, o = q*g - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1665 - 9065 - 9907 - 1948)*(2*p + 8 - 8) to m + s*p and give s.\nAnswer: -45170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in v - v - 7*v**3 + 17*v**3.\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 183 - 68. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - (-20 + -2 + 3) - 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 2*n**2 + 24*n + 33. Let a = 109 + -120. What is the lowest common multiple of i(a) and 150?\nAnswer: 1650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-2))**(8\/9)\/(u\/(u*u**(7\/5))*u**(-6\/11)))**9 assuming u is positive.\nAnswer: u**(83\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-107)\/(1284\/288)*4\/(-3). Suppose 38 = 2*y + y - 2*h, -h - 75 = -5*y. Calculate the highest common divisor of y and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -71, -5, -1680, 0 in increasing order.\nAnswer: -1680, -71, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 36671 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/6 + (-80)\/(-12). Let i be 28\/12 - (-4)\/a. What is the third derivative of 2*z**6 - 2*z**6 + 34*z**2 - i*z**6 - 33*z**2 wrt z?\nAnswer: -360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3023220 + 2103201?\nAnswer: 11133021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 4*g - 1 = 9, 0 = -2*h - 2*g + 30. Let m = h + -2. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = z**2 + 6*z + 1. Let r be y(-5). Put r, 4, 3 in ascending order.\nAnswer: r, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 14 - 38. Let d be (1 + 12\/(-9))*i. Let z be 558\/10 - (-1)\/5. Calculate the greatest common divisor of z and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 3*-4*sqrt(396) + -3 + sqrt(396)*3)**2.\nAnswer: 216*sqrt(11) + 32080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3104.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*x + 4*x = 70 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(-1\/4)\/a)**(-35))**(3\/7) assuming a is positive.\nAnswer: a**(75\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1484642 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1895561?\nAnswer: 173, 10957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Work out 87.6 * 443.168.\nAnswer: 38821.5168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2184, 2164, 2146, 2130?\nAnswer: 2116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) be the second derivative of g**9\/432 - g**5\/40 + g**3 + 8*g. Let b(z) be the second derivative of n(z). Find the second derivative of b(t) wrt t.\nAnswer: 140*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -9 or -2\/2207?\nAnswer: -2\/2207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -20*h - 49*h - 423 = 72*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 28047941267 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 244 - -3. Let n = o + -61. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i be ((-6)\/4)\/((-2)\/4). Let a(s) = -2*s**2 + 2*s + 2*s**3 + 3*s - 1 - s. Is a(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 2 - 4)*(-4 + q + 4)*(-59 + 23 - 60*q + 82 + 25) as t + r*q + c*q**2 and give r.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 6819 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = c**2 + 18*c + 43. Give h(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -100220 (base 3) in base 14?\nAnswer: -151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 3, 3\/136, 4?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in eight fifteenths of a century?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2703344239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 6 + 3 + (-44 - (10 - 8 - 11) - -4)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjjjjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 5186852628 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, p: 1, k: 3, u: 4, z: 4}. What is prob of picking 2 k and 1 p?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o - 36*y - 185 = 151 - 440, -4*o + 13 + 9 = 4*y + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 2*v. Let p(k) = -514*k. Determine l(p(s)).\nAnswer: -1028*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u = 176 + -186. Find the common denominator of 31\/55 and (-1)\/(u\/303)*(-2)\/30.\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bu when two letters picked without replacement from bnnnauuuukunuugngnub.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 339984 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 848*u - 25\/4*u**4 + 113*u**3 - 64 - 609*u**2 = 0 for u.\nAnswer: 2\/25, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 30949, 61863, 92761, 123643, 154509, 185359, 216193?\n\"Answer: -8*f**2 + 30938*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(18) - (sqrt(162) + sqrt(162)*1 - sqrt(162))) + (sqrt(72) - sqrt(72)*2))\/(1*(-3*sqrt(864) - sqrt(864))).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 107*p + 8*p - 3360 = 10*p for p.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.65999563 - -0.66. Round b to 7 decimal places.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -15042666*c**2 + 24604895*c - 1?\nAnswer: -30085332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -4 - -1. Let l(u) = -2*u + 5. Let k(y) = -y + 4. Determine x*k(r) + 2*l(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.252 + 27.452. Let p = 27.498 - w. Let l = p - 0.3. What is l rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 8\/11 (b) 4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 35*p**5 - 5*p**4 - 21245*p**3 - 271855*p**2 - 943530*p + 140400 = 0. What is p?\nAnswer: -13, -9, -8, 1\/7, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) be the first derivative of 0*q**4 + 0*q**2 + 4 + 1\/3*q**3 + 2\/5*q**5 + 0*q. What is the third derivative of n(f) wrt f?\nAnswer: 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.01256 - 5.\nAnswer: -5.01256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 32 = 2. Let k(v) = 3*v**2 + 15*v + 18. Let n be k(-5). Solve 3*h - f = -n for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(500)*2 - sqrt(500) - sqrt(500))\/(sqrt(2)*-1*-5))\/((1*sqrt(8640))\/(-1*sqrt(1728))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3304 is divided by 253.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 13, -2.3, -0.2, 4, -4\/5 in decreasing order.\nAnswer: 13, 4, -0.2, -4\/5, -2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -c**2 - 5*c. Let o be p(-4). Suppose 2*v + o = 0, -4*d = v - 18 + 4. Suppose d*h - 30 = h. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (9\/6)\/((-5)\/(-10)). Let v be -2 + -5 + 120\/15. Is 2\/v + c - -8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4877, -4860, -4835, -4802, -4761, -4712?\nAnswer: -4655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 3\/5 (b) -4 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 207 - 202 - (-1 + -2 - -7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -23722, -94730, -213062, -378706, -591650, -851882?\nAnswer: -1159390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2447578 and 40166.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 84404297.\nAnswer: 29, 61, 47713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2090337 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -167\/7752 and -151\/57120.\nAnswer: 1085280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 28\/13, -3, -0.47 in decreasing order.\nAnswer: 28\/13, -0.47, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -5630*r**2 - 4331*r**2 + 1502*r**2 in the form d*r + m + o*r**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -2\/235?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:47 AM and 8:50 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g**3 + g + 1. Let y(b) = 6*b**3 - 9*b**2 + 11*b - 1. Let i(m) = 5*o(m) - y(m). Let s be i(8). Suppose s - 6 = 4*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 10212648.118 + -0.1151.\nAnswer: 10212648.0029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f = 113393 + -113400. Let v = 832\/22839 + -108\/331. Let w = v + -440\/69. Does f = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1563, 2968, 4369, 5772, 7183, 8608, 10053, 11524?\nAnswer: 13027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes after 1:42 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a**2 + 33*a + 29. Let h(r) = r**2 + 32*r + 29. Let q(y) = -3*h(y) + 2*z(y). Suppose q(w) = 0. What is w?\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(27) + -2*(1 + sqrt(27)))*-1*2.\nAnswer: 4 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*b**2 + 0*b**2 + b**2)*(-b**2 - 2*b**2 - 3*b**2) - 12*b**4 + 2*b**4 + b**4.\nAnswer: -15*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -40209906\nAnswer: -1\/40209906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2726, -6864, -13764, -23420, -35826, -50976, -68864, -89484?\nAnswer: -112830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-192)\/(-8)*((-29)\/(-2))\/(-29)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41158422.\nAnswer: 2, 3, 53, 73, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Do 4\/7 and 1003 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 27051 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: Suppose 2*a = -4*f - a + 27, 3*f + 16 = 5*a. Let x = f - 7. Let i = 9863 + -9864. What is the third smallest value in 3\/4, 2\/9, i, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 491645 is divided by 134.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*o**2 - 5*o**2 + 9*o**2 - 6*o**2.\nAnswer: -7*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 791.5 + -791. Which is the nearest to 0? (a) -0.4 (b) n (c) 11\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -27 + 30. Factor -k**4 - 2*k + 0*k**4 - 2*k**2 + 2*k - i*k**3.\nAnswer: -k**2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*l = -3*l + 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*(x*x**(-7\/4)\/x)\/x)\/x)**(3\/13) assuming x is positive.\nAnswer: x**(-33\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*b = -9*b - 180. Solve -41*w + 53*w = b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 145925*z + 2 - 2.\nAnswer: -145925*z + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*v - 4*v - 3*v)*(-24 + 14 + 8 + 7 - 2 - 1 + (-1 - 4 + 3)*(5 + 2 - 5)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 2*t. Let z(i) = -i. Let l(m) be the first derivative of -3*m**2 - 2. Let d(s) = -l(s) + 5*z(s). Give p(d(b)).\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and -15.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 7.37 + -0.37. Let h = 6.8 - w. What is the closest to 1 in h, -3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -304 - -304. Suppose s = 3*x - 4*x + 583. Does 53 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the third derivative of i**5\/30 - i**2. Let b(s) = -31*s**2 - 36*s**2 + 65*s**2. Determine h(b(y)).\nAnswer: 8*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of ((-70)\/(-63)*8604\/(-30))\/(4\/(-312))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the third derivative of w**5\/240 - w**3\/24 + w**2. Factor r(z).\nAnswer: (z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = f**3 - 2*f**2 - 2*f - 1. Give p(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 179597 + -179597.01. Let t = 0.1 + 0.9. Which is the nearest to -1? (a) 12 (b) n (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -116 + 339. What is the remainder when i is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 4115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -3046 - -3052. Calculate the smallest common multiple of w and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 57079 and 324167208?\nAnswer: 3565839288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 + -24?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the third derivative of -13*l**6\/1260 - 11*l**5\/420 + l**4\/42 + 5*l**3\/2 + 35*l**2. Let v(b) be the first derivative of q(b). Factor v(m).\nAnswer: -2*(m + 1)*(13*m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r + 2*r - 6. Suppose 0 = 3*p + r*p - 35. Let f = p - 6. Solve 0*g = g + f for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14006?\nAnswer: 2, 47, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 34608, 34611, 34614?\nAnswer: 34617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the second derivative of c**5\/20 - c**4\/12 - c**3\/6 - 5*c. Let y be o(2). Is y not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = t**3 - 14*t**2 + 19*t - 78. Calculate z(13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4455 - 3729. Calculate the highest common divisor of 6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 4 + -2 - -4*19. What is the hundreds digit of j\/(-52) + (-1474)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -14*j - 36. Let h(z) = -27*z - 71. Let y(v) = 3*h(v) - 5*l(v). What is the units digit of y(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 4\/9*-3*-21. Suppose f + 13 + 13 = 2*l, b = 4*l + 4*f. Suppose 5*z - l = -1. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 187 + 135 - 1020*v**3 - 508 + 186.\nAnswer: -1020*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 9 = -4*i + 67, 4*i + 2*s - 70 = 0. Calculate the remainder when 251 is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*v + 263 = -87 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1373, -1252, -1051, -770, -409?\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d = 3*s - 8*s + 49, 4*s - 4*d = 36. Calculate the remainder when 20 is divided by -2 + 1 + 1 + s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17.93 - -17.93004938. Round b to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) be the first derivative of -n**5\/20 - n**4\/3 - n**3\/6 + n**2\/2 - 6*n + 8. Let d(c) be the first derivative of f(c). Calculate d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -4*y**2 + 4*y. Let u(t) = -3*t**2 + 3*t. Let i(c) = -3*c**2 + 3*c. Let h = 21 - 17. Let v(o) = h*i(o) - 5*u(o). Give 3*v(w) + 2*x(w).\nAnswer: w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -2*m + 11. Let d(x) = -x**2 - 3*x - 4. Give d(i(a)).\nAnswer: -4*a**2 + 50*a - 158","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4750 - -4817. Put 4, k, -12 in descending order.\nAnswer: k, 4, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes before 12:42 AM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -3*f + 8. Determine n(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 10, o: 10}. What is prob of sequence oppo?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.51, -1548, -1\/2, 28, -3?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1662 is divided by 105?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 2 k when three letters picked without replacement from ikskikkkii.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t = -303.2 + 303. Let i = 123 - 863\/7. What is the closest to i in t, -0.1, -6\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of d**3\/6 + 3*d**2 + 12*d. Give u(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 184153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/3)\/((-28)\/(-21)*7\/196).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(120)\/(3*sqrt(2)))\/((sqrt(108) + sqrt(108)*-3 + sqrt(108))\/sqrt(9) - sqrt(12)).\nAnswer: -sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 61522*k + 116991*k - 292*k.\nAnswer: 178221*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 3*g - 7. Let s(n) = 4*n - 7. Let d(l) = 3*j(l) - 2*s(l). Suppose -4*c + 5*b = 24 + 33, 5*b = 2*c + 41. Let x = c - -3. Calculate d(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -24 - ((-61 - -31) + 24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 582, 665, 748, 831?\n\"Answer: 83*y + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 2788 - 2816 = 0. Calculate the smallest common multiple of ((-10)\/20)\/(2\/(-64)) and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 7*y - 25 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -1 - -841794644.\nAnswer: 841794643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*k + 9*k - 10*k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 68352, 99382, 130412, 161442?\n\"Answer: 31030*o + 37322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(84) + 4*(sqrt(84)*-3 + sqrt(84)))\/(sqrt(12) - 4*(sqrt(12) + sqrt(72)\/sqrt(6))))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 800 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 1008888, 1008890, 1008892, 1008894?\n\"Answer: 2*m + 1008886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1584) + -1 + sqrt(1584) + -1 - (sqrt(1584) + 2)*-2) + 2)*1)**2*-3.\nAnswer: -76080 - 1152*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 4*u, 3*l + 0*u = -4*u. Suppose 3*r - 3*v = 933, -l*r + v + 256 = -976. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3465 = 21*f - 10332. List the prime factors of f.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/3 or 11627.712?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 79, 72, 61, 46, 27?\n\"Answer: -2*l**2 - l + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((-42)\/(-56))\/((-297)\/72)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 27642160 to the nearest integer?\nAnswer: 5258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 17, -102, -6 in descending order.\nAnswer: 17, -1, -6, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:18 PM and 2:09 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9948 is divided by 4710?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put together -12798 and -388.\nAnswer: -13186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 10123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 1022301 (base 4) in base 15?\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:56 PM and 10:10 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.23 - -3.23. What is the nearest to -0.1 in -2, 2\/11, s?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 1*-4604\nAnswer: -4604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 6, 1, -5, 2 in increasing order.\nAnswer: -5, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1 - -0.9. Let g be 9\/21 + 14778\/210. Let s = g - 71. Which is the biggest value? (a) s (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3\/7 (b) 3\/25 (c) -3 (d) 0.52 (e) -0.2 (f) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4677 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: 289 times 15.81\nAnswer: 4569.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) be the second derivative of -20329*p**3\/6 - 27*p**2\/2 - 11*p. Let f be n(-3). Suppose f = 17*b + 244560. Round b to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 3*h**2 - 9*h - 80. Calculate the remainder when 61 is divided by v(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 22300325 + -31?\nAnswer: 22300254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(-6)*7\/14\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l = -27 - -29. Suppose n - 4*k - 9 - 4 = 0, k + l = -n. Let f = -0.118 + 0.018. Which is the closest to n? (a) f (b) -1\/5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is -0.74474 rounded to 2 dps?\nAnswer: -0.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jcj when three letters picked without replacement from {d: 8, j: 2, z: 5, e: 2, c: 3}?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -178 - -72 - (23 - 122).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3 (b) -12 (c) -3 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -2*b**2 + 15*b - 20. Let l be a(2). Find h, given that 3\/2*h**l - 21*h + 147\/2 = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 + 2*(-3)\/3. Let c(w) = 4*w - 2 + j - 5*w. What is the units digit of c(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -41*h**4*q*v**3 - 25*h**4*q - 34*h*q + 50*h*v**3 + h*v wrt h?\nAnswer: -492*h**2*q*v**3 - 300*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from fqjzqjzfz. Give prob of sequence zzjz.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) = 2*l**2 + l + 8. Let m(v) = 13*v**2 + 8*v + 70. Let p(o) = 8*f(o) - m(o). Let h(q) = 14*q. Calculate h(p(n)).\nAnswer: 42*n**2 - 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -4*i**2. Let m(j) = 0*j + 5*j - 7*j. What is d(m(v))?\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -4\/9, 3, -4, 0.4?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out 16 * -0.801.\nAnswer: -12.816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/11, -43, -16?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3\/(-9)*11*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 134298 to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**2 + 7*c - 61. What is q(-14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 48 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20684 - -20787418\/1005. Let v = 4006\/7035 - k. Factor 0 - 8\/7*c**2 + 0*c - 12\/7*c**5 + v*c**3 + 16\/7*c**4.\nAnswer: -4*c**2*(c - 1)**2*(3*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12021488155 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Do 7 and 5887249 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i - 42*i + 421399 + 239551 = 0. List the prime factors of i.\nAnswer: 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (44\/16)\/(1\/8). Suppose -26*a = -d*a - 956. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 272682 and 1536.\nAnswer: 69806592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -217, -423, -627, -829, -1029, -1227?\nAnswer: -1423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 - -1106?\nAnswer: 1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 8 = -5*g. Suppose -1 = g*k + z - 7, -10 = -5*k + 3*z. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3 - 7b?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 26966759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5\/3, -4, 1.3, 180, 0.1, -2\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13*-2*((-74)\/3367*13)\/(8\/14)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 3343420658 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 413565?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 38*y**2 - y. Let c(b) = -594339*b. What is k(c(i))?\nAnswer: 13423076182998*i**2 + 594339*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 176562 - -8151. Suppose -t + 2*t = a. Suppose 4*g - 39287 = t. What is g rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 23196920387 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 353 minutes after 8:20 PM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (26\/(-28) - -1)*154\/7. Let r = -65\/28 + j. Let n = -4 - -9. Which is the third smallest value? (a) -5 (b) n (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from uuhhahhuhhhhhhn. What is prob of picking 2 u and 1 a?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -4 - (41 - 24) - 19\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**3 - k**2 - 4*k - 3. Let c be g(-2). Let i(x) = -19*x + 10. Let n be i(c). Calculate the highest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 41 in 21, 1, 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rgac when four letters picked without replacement from {q: 1, v: 1, c: 1, g: 2, r: 1, a: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1 - (3 + 33\/(-12)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.041 in -2\/5, -0.5, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b**3 - 1161*b**2 - 111744*b + 112908 = 0 for b.\nAnswer: -194, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -v + 15. Let b be z(3). Sort -1, b, -5 in ascending order.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, 3, 17, -5, 465, -4 in descending order.\nAnswer: 465, 17, 14, 3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11.6 - 12. Which is the biggest value? (a) -1\/6 (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 36\/19 or 1?\nAnswer: 36\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40 and 1810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -141405969, -141405972, -141405975?\nAnswer: -141405978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 96 and 7584?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1*(144\/(-27))\/(-8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -46*p**2 + 19*p - 34. Let a(s) = -15*s**2 + 6*s - 11. Let z(r) = -7*a(r) + 2*c(r). Is z(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 449663199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -33 = 2*m - 43 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (4 - 2)*3\/2. Suppose 5*c - 10 = 5. Calculate the greatest common divisor of c and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-4\/9)\/g*g)**37*g**(-6)*g\/g**(13\/3) assuming g is positive.\nAnswer: g**(101\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 202 + (101 - 228) + 62\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 22*n. Let d(z) = 27*z. Determine d(o(x)).\nAnswer: 594*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*a**2 + a**2 - 8*a + 2*a**2)*(-4*a + 4*a + 2*a**3)*(-2 + 2 - 1 + (-1 - 2 + 2)*(20 + 20 - 25)).\nAnswer: 32*a**5 + 256*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 44\/5 of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand -8*w**5 + 0*w**5 + w**5 + (-7*w**4 + 3*w**4 + 3*w**4)*(-w - 2*w + 2*w) - 1 + 1 + w**5 + 2*w**5 + 0 + 0.\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0 + -0.2. Let i = w + 0.3. Let t = i - 0.086. What is t rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1409006\/738 - 2\/9 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33 minutes before 7:37 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 12 - -201212?\nAnswer: 202001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = 114\/5 - 347\/15. What is the third biggest value in v, 30, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*t - 3*h = -13*t, -2*t = -5*h + 6. Suppose -q + t*q - 513 = 0. Is q a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 divided by -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:00 PM and 3:30 AM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -1249218, -2498453, -3747676, -4996881, -6246062, -7495213, -8744328?\n\"Answer: z**3 - 1249242*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 93706?\nAnswer: 2, 46853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 86507, 86506, 86505?\nAnswer: 86504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.33 + -0.63. Let k = 0.32 + s. Which is the second biggest value? (a) 2\/11 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*s - s = -13*s + 136. What is the second smallest value in 6, s, -103, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59\/4 of a litre in millilitres?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 5*g**3 - 6*g**2 + 345*g - 6. Let z(y) = 2*y**3 - 2*y**2 + y - 2. Give -j(k) + 3*z(k).\nAnswer: k**3 - 342*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 2, l: 6}. What is prob of sequence lnll?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 693399 and 107575902?\nAnswer: 753031314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/(-10))\/((4\/6)\/1).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -16 - 67. Let n be (0 - (84 + (7 - 12)))\/1. Let c = n - p. Sort 3, c, 9.\nAnswer: 3, c, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ggigtiiiwditdig. What is prob of sequence tit?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -154180 divided by 4?\nAnswer: -38545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 580*g + 408*g + 466*g - 16375 - 452*g + 16371.\nAnswer: 1002*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -22*s + 220. Let m(b) = -7*b + 73. Let k(r) = -4*i(r) + 11*m(r). Let o be k(7). Solve -5*u = -c - 0 - 1, o = -4*c + 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -95*u + 116*u + 401*u - 1266. Which is the nearest to -1\/8? (a) 23\/2 (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 907, 1762, 2617, 3472?\n\"Answer: 855*s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2739.1 - 3019.1. Which is bigger: 14 or r?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16668380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1045 = 2*r + o + 1029, r - 160 = -10*o for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 32748*g - 180114. Let a(h) = 3*h - 22. What is -8187*a(q) + v(q)?\nAnswer: 8187*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in 2\/5, -2, 0, 232863, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -8257.8 - -8258. Let o = 16 + -14. What is the second smallest value in -0.2, y, o, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/21018 and -41\/240.\nAnswer: 840720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from anqoynab. What is prob of picking 1 b and 1 o?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -a + 1. Suppose 2*l - 72 = -a*l. Calculate the smallest common multiple of l and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2 - 2) + (419 - 428)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.07 and 8178179966773?\nAnswer: 8178179966772.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**2 + 40*l - 400.\nAnswer: -(l - 20)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*5*sqrt(2448)*-6)**2 + (6*(sqrt(68) + sqrt(68) + sqrt(68)*1) - sqrt(68))\/(2*sqrt(324) - sqrt(324)).\nAnswer: 17*sqrt(17)\/9 + 8812800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 68 + 22. Suppose 1020 = 5*k + v. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6629.1 + -6635. Which is the third smallest value? (a) n (b) 1 (c) 4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -7780390*80\nAnswer: -622431200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f - 13 = -3*j, 0*f + 3*f + 48*j - 103 - 38 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -115549, -231097, -346645?\nAnswer: -462193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -14*s**4 + 14*s**4 + 2*s**5 + (2*s + 4*s - 4*s)*(-1 + 1 - 2*s**4).\nAnswer: -2*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -0.31 take away -33872298880?\nAnswer: 33872298879.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iic when three letters picked without replacement from iiciccc?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 25 divided by 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g = -48 - -52. Suppose 0 = -2*v - g*v. Solve v*b - 4 = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2356?\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*c**3 - 16*c + 16*c - 6*c**3.\nAnswer: -8*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Are -41637635 and -41637634 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 78 divide 324324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c = -128 - -128.024. Let a = c + 1.976. Let l(i) = i - 8. Let b be l(6). Put b, a, -2\/5, -4 in decreasing order.\nAnswer: a, -2\/5, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/(27258\/(-55)))\/(19\/2394*70)\nAnswer: 3\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 40786.063 * 0.1.\nAnswer: 4078.6063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = 34*f**4 - 5*f**2 - 4*f - 4. Let u(o) = -33*o**4 + 6*o**2 + 3*o + 3. Let c(x) = 3*m(x) + 4*u(x). What is the third derivative of c(p) wrt p?\nAnswer: -720*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32 - (-31 - (-4 - 8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*f**3*l**3 + 39*f**3*l + 13*f**2*l + 6*l**3 wrt f.\nAnswer: -18*l**3 + 234*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 6 divided by 14\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*1*sqrt(72)*-2 + sqrt(72)*1 + -3 + 1 + 5 + -3)**2.\nAnswer: 5832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l = -5 + 8. Let d(r) = -47*r**2 + r - 3. Let t be d(l). Let b = t - -118. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from plmmpsssvp. What is prob of picking 2 m, 1 v, and 1 l?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 125, 1548, 5387, 12842, 25113, 43400, 68903, 102822?\nAnswer: 146357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000962576 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 + 13. Let t(v) = -v**2 - v. Let a be t(-1). Let c be u(a). Let q be (1\/(-1))\/(-1) - -2. Solve -2*p = -q*y - 1 - 20, p = 2*y + c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = v + 13. Let p be i(-8). Suppose -24 = -4*a + 5*m, 5*a - 31 = m - 1. Let r be (a\/2 - 1) + -2. Solve r*n = -4*n - 4*y - 16, -p*n = y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 78203 + -547321\/7. Factor 0 + 0*x - t*x**2 - 44\/7*x**4 - 20*x**3 - 4\/7*x**5.\nAnswer: -4*x**2*(x + 1)*(x + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*r + 15*r - 1056 = 0. Is r a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 105*k*v**3 - 93452*k*v**2 - 7*k + 11876*v**4 + v**3 - 24*v wrt v?\nAnswer: 630*k + 285024*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 1555 divide 87078847?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 5 = -7. Let w = 3134\/5 + -639. Let v = w - z. What is the third smallest value in 0.1, v, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) -4921 (b) 3\/2 (c) 5 (d) -4 (e) 0.1 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 278118*u + 2. Let h(o) = 8*o. What is c(h(g))?\nAnswer: 2224944*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) -8 (d) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 40*t + 3*x - 133 + 108 = 42*t, 0 = -2*t + 5*x - 23 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1489460330+-206\nAnswer: -1489460536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -8 - -9. Put 5, b, -2 in ascending order.\nAnswer: -2, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-15)\/g*g**(-22)*g\/g**(-1\/6)*g*g**0 assuming g is positive.\nAnswer: g**(-215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 - -1. Let i(j) = 3*j - 9. Let o be i(5). Suppose c = -o*t + 4*t. Solve -l + t - 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 351209 = 5*m + 4*i, 23*m - 18*m - 351202 = 3*i. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -5*m + 14, -5*m + 6 - 1 = 0. Suppose i*r = -f, -3*f - 4*r - 38 = -8*f. What is the greatest common factor of f and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(1\/22))\/f)\/(f\/(f*f**(-2\/25)*f))*f**(-15\/7)\/(f*f**(-2\/23)) assuming f is positive.\nAnswer: f**(-193159\/88550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + 3*w = -118950, 4*g + 1317*w - 1316*w = 118942. What is the highest common divisor of g and 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w + 15 = 5*b - 0*w, 0 = -4*b - 5*w + 3. Suppose -i + 2*i = 4*z + b, -2*z = -2*i - 8. Let k(f) = -8*f - 21. Does 2 divide k(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110 - 201120?\nAnswer: -201010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = 17 + -14. Suppose b*l - 4 = 5. Suppose l*d = 23 - 2. Let z(q) = q**3 - 7*q**2 - q + 1. Determine z(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:20 AM and 2:09 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hf when two letters picked without replacement from {h: 1, p: 2, f: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -2*g + 30*g**3 - 10 - 28*g**3 + 6 - g**2 in the form b*g**2 + u*g**3 + r*g + j and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 6*g**3 - g**2 + 1. Let z(b) = -11*b**3 - b**2 - 11*b + 5. Let t(v) = -2*q(v) - z(v). Give t(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-100)\/10)\/2*(-24)\/(-105)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p\/(p**(-2)\/p))\/(p\/(p**(-6\/7)\/p)*p))**42\/((p**(-1\/2))**(-29))**29 assuming p is positive.\nAnswer: p**(-829\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 256 = 3*a - 2*y, -5*a - 3*y = -6*y - 425. Let x(w) = 26 - 14 + 20*w - 3*w + 2*w**2. Calculate the remainder when a is divided by x(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 236 + -234. Suppose n + 2*f = 22, 3*n = 2*n + 3*f - 3. Suppose -9 = -g - 2*g + 3*t, -4*g = 3*t - n. Solve 9 = -p*q + k, -k = -5*q + g*k - 24 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jf when two letters picked without replacement from tofromj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 3*n**3 + n**2 + 4. Let x(i) = 3*i + 20. Let b be x(7). Suppose b + 31 = 3*a. What is the remainder when l(3) is divided by a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(-7 + (-3766)\/(-539)). Are s and -76 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 230 (base 16) in base 3?\nAnswer: 202202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - u + j - 7 = 0, 3*u + 4*j = 10. Suppose -155 + 461 = u*p. What are the prime factors of p?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**2 + 195*i - 976. Give c(-200).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -16301*k - 16756?\nAnswer: -16301","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -29, -161, -399, -755, -1241?\n\"Answer: -2*k**3 - 41*k**2 + 5*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/(-7)*-1*0\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -2*x**2 - 8*x - 26. What is z(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*t**5 - 50*t**4 + 24*t**2 + 2*t.\nAnswer: 540*t**2 - 1200*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2.9 - 0.1. Let c = -3 + 7. Let z = 0.08 + 0.92. Sort c, t, z in increasing order.\nAnswer: t, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 72\/193 + 15086\/4053. Calculate the common denominator of -143\/12 and j.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1161 + -1160.9473. Round r to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -141 - -2474. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -11 - -1101001010100000110000101?\nAnswer: 1101001010100000110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) be the third derivative of -n**4\/24 + 7*n**3\/6 + 21*n**2. Let s be m(3). Find the second derivative of s*j - 12*j**4 + j - 2*j wrt j.\nAnswer: -144*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.7 - 1.59. What is the second biggest value in 0, r, 1\/2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7 + 0 - 15*v + 4 + 0 to c + f*v and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 197 - 2896?\nAnswer: -26bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let -u**4\/2 - 2410*u**3 - 880768*u**2 - 3494168*u - 3484536 = 0. What is u?\nAnswer: -4422, -394, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -379*j + 18 = -382*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide 30 by -5.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, o: 1, t: 4, a: 1, g: 4}. Give prob of picking 1 g and 1 s.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = -19 - -33. Let w = -323 + 343. Calculate the smallest common multiple of v and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -7*i**3 + 414*i**2 - 79*i + 660. Calculate o(59).\nAnswer: -520","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes after 10:42 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 11*m**4 - 4*m**4 - 6*m**4 - 2*m + 2*m - 3*m**4 - 2*m**4 + 2*m**4 - 3*m**4 + (2 - 2 + 2)*(0*m**3 + 0*m**3 - m**4).\nAnswer: -7*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.2 and 3280548.\nAnswer: 3280547.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -4\/5 in 3\/5, -195, -0.1, 0.5, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -3*r**2 - 25*r**2 - 13*r**2. Let g(o) = 9 + 5 - 19 + 5 + 3*o. Let s(w) = 8*w. Let x(p) = -11*g(p) + 4*s(p). Determine x(a(d)).\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -504550, -1009437, -1514324, -2019211, -2524098, -3028985?\n\"Answer: -504887*j + 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 97 + -97. Let f(p) be the third derivative of 0*p**6 - 1\/630*p**7 + g*p**3 + 3*p**2 + 0*p + 0*p**5 + 0 + 0*p**4 + 1\/1008*p**8. What is n in f(n) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 1 and -641580.\nAnswer: -641579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) be the first derivative of 9*s**8\/448 - 2*s**7\/35 + s**6\/32 + s**5\/40 + 14*s**2 - 87. Let y(w) be the second derivative of p(w). Factor y(a).\nAnswer: 3*a**2*(a - 1)**2*(9*a + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is z in 75420*z**3 - 113074*z**2 - 75504*z - 56 = 0?\nAnswer: -1\/2, -14\/18855, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1763533?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -292.254 + 289. Let l = -0.046 + n. Round l to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0791506 decades in millennia?\nAnswer: 0.000791506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 3*y = 60, 3*t - 76*y = -72*y + 20. Solve 4*o = -t, -36*b + 37*b + 5*o = -11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*x = 14*x - 20. Let s be (-44)\/110 - 4\/x. Solve -5*d + d = -4*v - 20, -4*v + 3*d - 18 = s for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 26 = -4*z, z = -2*z + 12. Find the third derivative of -19*w**2 + 23*w**6 + 53*w**t - 23*w**2 wrt w.\nAnswer: 2760*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 66 a factor of 446791224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72 is divided by 50.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.3 in -16, -3, 5, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 42 - -7. Does 7 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) be the third derivative of q**4\/12 + q**2. Let i(a) = a**2. Calculate i(p(j)).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y = -5*u - 30, 4*y + 4*u = 5*y - 17. Suppose -m + 40 = -y. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -17 - -72. Let i = -58 + b. What is the closest to -0.1 in -2, i, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*y + 0*y = -3*y, 5*y = -3*x + 7*y - 27 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -22*q - 3*p = -19*q + 6, -4*p = -2*q + 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = x - 9. Let b be j(16). Suppose 11*y - 808 = b*y. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/36 (b) 135 (c) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*f + 20*f = 310. Does f = 311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -412 divided by -325665\nAnswer: 412\/325665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 341 minutes after 5:42 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let -q**3\/4 - 1165291*q**2 - 4661161*q - 4661160 = 0. What is q?\nAnswer: -4661160, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -57193244769 - -25.3.\nAnswer: -57193244743.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -8 - -8.3. Let r(z) = 7*z - 5 - 2*z**2 - z**3 + 2*z**2 + 5*z**2. Let b be r(6). Put m, b, -0.4 in decreasing order.\nAnswer: b, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9773 plus 0.4?\nAnswer: -9772.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 505 - 509 = 3*l - 2*h, 3*h - 25 = -5*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -3*q**3 - 807*q + 14. Let p(k) = -k**3 - 269*k + 4. Give -2*g(o) + 7*p(o).\nAnswer: -o**3 - 269*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 52 (base 6) to base 16\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.24421*2.\nAnswer: -0.48842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(15)\/(1*sqrt(20)\/sqrt(4)).\nAnswer: -3 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 267311926?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16.6 - -1.6. Let p = q - -14.3. Let w = p + 2.7. Which is the smallest value? (a) 1 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3 + 0*y - 31*y + 2*y**3 + 53*y**2 + 22*y - 1 to the form j*y**3 + t*y + z*y**2 + g and give z.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*t = 80 - 48. Which is the third smallest value? (a) -1\/6 (b) t (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*x**2 + 193*x**4 + 5*x - 7*x - 148*x**4 + 5*x**2 + 224*x**4 to v + y*x + j*x**3 + b*x**4 + h*x**2 and give b.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2 - 2326240*d**2 - 2 + 2326240*d**2 + 118*d**3.\nAnswer: 118*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*l = -36 - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -126183, -252364, -378545, -504726?\n\"Answer: -126181*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-38 - (-32 + 17) - -9) + 39 - 1.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 52490 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0 - -1)*-4*1. Which is the third biggest value? (a) p (b) -3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1248393469 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -456668 - 9289\nAnswer: -465957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h**2 + 0 + 0)*(-2*h - h + 2*h) + 4*h**3 + h**2 - h**2 + (-h**3 + 3*h**3 + 0*h**3)*(5 - 3 - 1).\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5\/(-9)*(-8)\/20. Suppose -5 = 6*k - 17. Suppose 3*f + k*g + 11 = 2*f, 4*f = -5*g - 32. Which is the biggest value? (a) f (b) -2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -49133 equal to -50898?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -4, -109, 19, -3 in increasing order.\nAnswer: -109, -4, -3, -2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 0.65, 677, -1\/2, 2, -2\/23.\nAnswer: -1\/2, -2\/23, 0.1, 0.65, 2, 677","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is q in -3*q**4 + 9392*q**3 - 7363309*q**2 + 19559384*q + 7338288 = 0?\nAnswer: -1\/3, 3, 1564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 21 = 2*b. Let v(r) = 12 + 2*r - 5 - b. Let w(z) = 3*z. Give w(v(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 550 divide 409171835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add -4129 and 321.\nAnswer: -3808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**2 - 3 - 7 - 5 + 0*p**2 - 10*p. Let f be y(-6). Suppose -5*x - 16 - f = 0, -5*x = -2*o + 41. Put o, 1\/5, -0.4 in increasing order.\nAnswer: -0.4, 1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*g - 94 + 84 = 0. Let b be g\/(465\/95 - 5). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 divided by -2147581.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 186.8036l to millilitres.\nAnswer: 186803.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wmiwwimiwmwwwwim. What is prob of picking 2 i and 2 w?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 1 + -0.9. Let l = 1.4 - 0.4. What is the biggest value in c, -2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - 81\/(-30))*25\/90.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 112\/18 + (-18)\/81. Suppose -k*m = -5*m - 3. Solve -15 = 2*r + m*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -338 + 5*r**2 + 338 - 2*r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -2*o**2 + 61*o - 290. Let d be v(6). Factor 7\/3*h - 2\/3*h**2 + 4\/3 + 1\/3*h**5 - 2\/3*h**d - 8\/3*h**3.\nAnswer: (h - 4)*(h - 1)*(h + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -13.885 + 0.085. Let n = -16.8 - h. Let g = -9 - -5. Which is the biggest value? (a) g (b) n (c) -5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1799)\/(-257) - (-105)\/(-28)*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 35911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4841 = -18*i + 1495. Suppose -m = -4 - 0. Suppose 0 = j + m*j - 160. What is the highest common factor of i and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: (7\/((-63)\/(-54)))\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 80*k + 3 + 0*k**2 + 0*k**4 + 0*k**2 - 5 - 3*k**4 to the form m + c*k + h*k**2 + g*k**4 + s*k**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 481017457 a multiple of 939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -3*v**4 - 24759*v**3 - 222633*v**2 - 370905*v + 618300 = 0. Calculate v.\nAnswer: -8244, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Work out 11.6 * 1.\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1979 is divided by 35?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 89, 382, 823, 1412?\nAnswer: 2149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -3172 = -19*l - 2*l - 3025 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1934 - 1710. Calculate the highest common divisor of 136 and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 2*v + n = -5, 0 = -5*v - 5*n - 25. Suppose -3*y + 0*y + 249 = v. List the prime factors of y.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/11 in 5\/6, -3\/5, 3?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 13220 = 137*i + 23769 for i.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 4 = -12. Suppose 6 - 30 = v*b. Let j(d) = d**3 + 5*d**2 - 7*d + 3. Determine j(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 2 i when three letters picked without replacement from {u: 1, s: 2, i: 2, z: 6}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 6683.82 minutes to hours.\nAnswer: 111.397","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23 + 39 + 4*z - 10 - 40*z + 25*z.\nAnswer: -11*z + 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 1321, -3\/5, 2\/9, 613 in descending order.\nAnswer: 1321, 613, 2\/9, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 2 q when three letters picked without replacement from qvqqllyqvly.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -900494088 divided by 34634388?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 10*j - 6*j. What are the prime factors of ((10280\/15)\/8)\/(j\/(-6))?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = f - 6. Let j(z) = -14*z + 77. Let h(w) = -7*w**3 + 7*w - 6. Let c be h(1). What is c*j(r) - 77*v(r)?\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -611, -615, -619, -623, -627?\nAnswer: -631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4 + 12 + 0*h**3 - h**3 + (-50*h**2 + 5*h**2 - 11*h**2)*(2*h - h - 3*h) to u + g*h**3 + i*h + l*h**2 and give g.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum -12875079.6 and -952.\nAnswer: -12876031.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/3*(-4 + 16). Let z = -42\/73 + 3506\/511. Calculate the common denominator of 36\/40*10\/r and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 63857?\nAnswer: 63857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4395 + -4140. What is the highest common divisor of c and 306?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bbkzz?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 1264 divide 1799178719?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5035383 divided by -31.\nAnswer: 5035383\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-2)\/(-3))\/(6\/9). Let g(q) = -1. Let f(c) = -2*c + 9. Let h(s) = i*f(s) + 4*g(s). What is the units digit of h(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-24)\/(-504))\/(4\/14)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8 - 6. Suppose 113 = 5*u - 3*i, 4 - 50 = -2*u + w*i. Calculate the remainder when 62 is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 <= -39\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k + 1. Suppose 0 = 5*o - 3*s + 6, -3*s = -3*o - 0*s. Let h be u(o). Suppose -h*i = 91 - 311. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 17 - -59. Find the third derivative of l**5 + 141*l - 4*l**2 + 25*l**3 - 142*l - t*l**3 - 23*l**2 wrt l.\nAnswer: 60*l**2 - 306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -5*(-4 - (2 + (-20)\/4)). Let p(c) = -c**3 - 5*c**2 + 7*c - 4. Let x be p(-7). Suppose -4*w - 3*n + 51 = -0*n, -x = -2*w + b*n. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes after 4:28 PM?\nAnswer: 7:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12044942?\nAnswer: 2, 7, 13, 17, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 172732.\nAnswer: 2, 7, 31, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = -7*f + 20 - 8, -4*f + 2*f + 12 = 3*r + f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 141 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dznnfwnzwzannnnann. What is prob of picking 1 f and 1 w?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide 564220 by 112844.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 2 (b) -0.04 (c) -0.1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the first derivative of 0*n**3 - 3\/2*n**2 + 1\/225*n**5 + 2 - 1\/900*n**6 - 1\/180*n**4 + 0*n. Let v(g) be the second derivative of u(g). Factor v(b).\nAnswer: -2*b*(b - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 5, -15, -1.606, -5, -9?\nAnswer: -1.606","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, 3\/2, -0.13, -3, 2\/5 in increasing order.\nAnswer: -3, -0.13, 0.1, 2\/5, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-77)\/(-84) + -1 - (-146)\/24. Let c(g) = 34*g**3 + 7*g**2 - 75*g**3 - 2 - h*g + 40*g**3. Determine c(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74698847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 59495 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 69*h**3 - h**2 - h + 2. Is y(1) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (20\/(-3))\/(5\/(-15)). Suppose -5*o = -x + 10, -2*x + b = -6*o + o. Suppose -9*d**4 - 2*d - 4*d**5 - 7*d**4 + x*d**5 + 12*d**3 = 0. What is d?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 15, 6, -2, -5, 5, -4, 17 in increasing order.\nAnswer: -5, -4, -2, 5, 6, 15, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.13 in -51, 0, -12.19, -1\/6, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3239 + -3239.0004467. Round g to 5 decimal places.\nAnswer: -0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*f**6 + 7234*f**3 - 4*f**2 - 604*f + 1.\nAnswer: -240*f**3 + 43404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (2 + (-36)\/(-8) - 3)*53\/742\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of c*k**3*q - 21*c*k**2*q - 2*c*k + 249053*k**3*q + 55*k**2 + 11*k*q + 2*k - 2*q wrt k.\nAnswer: 6*c*q + 1494318*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express (-3 + 0 + 0)*(g + 2 - 2)*(-84 + 44 - 26)*(-5 + 2 + 0)*(4*g + 12 - 12) in the form j*g + f + u*g**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 3, x: 7}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 96 minutes before 5:10 AM?\nAnswer: 3:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*d**4 - 15616*d**3 + 15303552*d**2 - 121679872*d + 242861056.\nAnswer: 4*(d - 1948)**2*(d - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -120*p = -111*p - 27. Let g(h) = h - 2. Let w be g(3). Let d = 7 - 2. Solve -2*o - w + 11 = -p*l, d = -5*o for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 2*x**2 - x - 3. Let u(q) = 1101*q**2 - 7989*q + 14673. Let p(j) = 9*i(j) - u(j). Suppose p(w) = 0. What is w?\nAnswer: 70\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 p, 2 z, and 1 v when four letters picked without replacement from {v: 6, p: 2, z: 4}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) be the second derivative of -r**5\/15 - r**4\/6 + 2*r**2 - 6*r. Let w(l) be the first derivative of o(l). Find the second derivative of w(q) wrt q.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0 (b) 2\/37 (c) 0.81 (d) -1\/6 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -127 in 42, 2\/7, -0.5, -2\/31, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of h*v**2 - h*v - 2*h + 1597*v**2 - 55*v + 34 wrt v?\nAnswer: 2*h + 3194","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort -214, -0.04, -5\/3, 2\/3 in increasing order.\nAnswer: -214, -5\/3, -0.04, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-seven halves of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a**3\/7 + 81*a**2\/7 - 573*a\/7 + 495\/7 = 0 for a.\nAnswer: 1, 11, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1866453141 to the power of 1\/4, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 17296369567 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 1011100100100 (base 2) to base 3.\nAnswer: 22010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 12:39 PM?\nAnswer: 11:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 2*i - 3. Let u be s(0). Let h be -6*u\/(9\/5). Suppose 0 = -3*r - 5*q + 79, 2*r - h = -5*q + 41. Does 7 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -376*u**3 - 7*u**2 + 3*u - 10. Let r(z) = 377*z**3 + 10*z**2 - 4*z + 13. Give -4*a(h) - 3*r(h).\nAnswer: 373*h**3 - 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 13043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (-6 - (-11 - -1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32308886635.8 + -4.\nAnswer: 32308886631.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = c. Let q(r) = 16*r**2. Determine q(v(o)).\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is d in -3*d**3 + 12*d**2 + 717*d + 702 = 0?\nAnswer: -13, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = -a**3 - 6*a**2 + 11*a + 18. What is the remainder when f(-11) is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4998850 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 d = 29 - 3. Let h = d - 77\/3. Suppose -1\/3*v**2 - h + 2\/3*v = 0. Calculate v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 32 - -2) + -38867 + 38795?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 4, -1\/8, 3\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/d**0)**13)**(-42)\/(((d\/(d\/(d\/(d**(1\/4)\/d*d)))*d)\/d*d)**(-38))**3 assuming d is positive.\nAnswer: d**(-693\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**2 + 200*x - 3002. Give w(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1)\/(((-12)\/(-3))\/(-36)). Let f(d) = d - 9. Let o be f(v). Is o > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 p and 1 a when three letters picked without replacement from ppappppppppppppppppp.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 41 = 3*b, -4*b - a + 62 = 2*a. Let y = 2967 + -2780. What is the highest common divisor of y and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 241779 is divided by 203.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (-119)\/(-14)*55\/(70125\/20100)\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1292*s - 1299*s = -409584. Is s a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 287566?\nAnswer: 2, 59, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express -j + j + j**4 + 2*j**3 - 2*j**3 + 2*j**4 + (2*j + 2*j - 2*j)*(-5*j**3 + 3*j**3 + 4*j**3) in the form s*j**4 + z + l*j**2 + q*j + w*j**3 and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i = 4*y + 32, 7 = -4*y - i - 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 + -7. Let g = -39 - -40. Let k(c) = 3*c. Let x be k(1). Sort x, g, y in descending order.\nAnswer: x, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.0077 + -0.6333. Let i = x - -0.041. Let z = -12 + 17. Put i, z, -1 in ascending order.\nAnswer: -1, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -533, -1\/5, -3\/5 in ascending order.\nAnswer: -533, -2, -3\/5, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 18*m - 56. Determine y(15).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((35\/14)\/5)\/1)\/(15*6\/17100).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w - w - w)*(0 - 1 - 1)*(839 + 1111 - 2159)*(8 - 1 - 4).\nAnswer: -2508*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, 0, -24.5, -4.22?\nAnswer: -4.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 4674249089 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17 + -13. Suppose 3*k = 4*f + 2279988, -2*k - 2*k - 2280016 = v*f. What is f rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 70*o**3 + 0*o**4 + o**4 - 140*o**3 - 19*o + 69*o**3 - 3 in the form w*o**2 + x + i*o**3 + p*o + q*o**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is -1 >= 18\/5417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = 273*x - 52. Let r(c) = 16*c - 3. Let q(p) = 3*l(p) - 52*r(p). Let u(g) = 27*g. Let s(o) = -9*q(o) - 5*u(o). Let t(m) = 2*m**2. Give s(t(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in 20, 4, -28, -82, -164, -280?\nAnswer: -436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 3*c - 9. Let j(x) = -9*x**2 + 83*x - 10. Let n be j(9). Give u(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 16464, 16449, 16418, 16365, 16284, 16169, 16014?\n\"Answer: -y**3 - 2*y**2 - 2*y + 16469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.01, 0, 15, -2, -3, -409?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -6*(sqrt(684) + (sqrt(684) + sqrt(684) + -2 + sqrt(684))**2)*5)*-5.\nAnswer: -9900*sqrt(19) + 924015","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve x - 221 + 226 = 3*n, -4*n - x = -4 + 9 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-3)\/((-2)\/4*2). Suppose 11 = -2*f + 7. Let i be f\/8*1 + (-441)\/(-36). Solve i = 6*d - l*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 - 2*q + 2. Let d be r(1). Let j be ((-2)\/(-4)*2)\/d*2. Suppose -4*o - 16 = 5*c, j*o - 2 = 4*o + c. Solve -4 + o = 3*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 1 + 0 + (3 - 5 - 1)*(-3 - 1 + 3))*(-c + 2*c - 2*c).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x - 4. Let q be f(4). Suppose 3*v = 5*i - 0 + 5, q = -5*v + 25. Solve 2*j = -i + 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10002002222210 (base 3) to base 10.\nAnswer: -1635870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1681887602?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 27797*w**2 - 7*w. Let m(t) = 81*t. Calculate q(m(v)).\nAnswer: 182376117*v**2 - 567*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c**4 + 18*c**3 - 42*c**2 + 38*c - 12 = 0. Calculate c.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -6*d**3 + d + 2. Suppose 3*m = 3*q + 9, 3*q + 7 = -0*m + 2*m. Let y be v(q). Calculate the highest common factor of 28 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7986248286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -0.117, 1\/6 in ascending order.\nAnswer: -0.117, 0.1, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j + 3 = -7. Suppose -q = -8 - j. Suppose q = h - 7. What is the greatest common factor of 136 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.36 (b) 631\/7 (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 4*c + 5. Determine u, given that 12*u**3 + c*u**2 + 9*u**4 + 0*u**2 + 0*u**4 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 3 + 1 = 4*x, 5*x + 6 = 2*g. Let q be (0 + -5*2)\/g. Solve 4*j + 2*o = 3*j - 12, 0 = 4*j + q*o + 33 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3949 + 3949.4. Is -334\/7 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -95 - -94.831. Let g = y - 0.031. Let z = 13.5 + g. Round z to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pxppxppppppppxpppp. What is prob of sequence xx?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 5, -27239.3, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2538442 is divided by 637?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = 34214818\/5 - 5509479653\/805. Let v = q - -1110. Let t = v + 5\/23. Which is the biggest value? (a) t (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -54417*d**6 - 4*d**2 - 11*d - 20 wrt d.\nAnswer: -6530040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 483? (a) 3\/7 (b) -0.2 (c) -424\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 3478 - -19 - 1*-2*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -10967, -22011, -33151, -44387, -55719, -67147?\n\"Answer: -48*x**2 - 10900*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2.19457 and -0.517?\nAnswer: 1.13459269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*d**3 + d**3 - 5*d**3 - 4*d**4 + 2*d**5 + (-d + d - 3*d)*(d**4 + d - d).\nAnswer: -d**5 - 4*d**4 - 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) = 1342*h + 507276. Calculate f(-378).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 82 by -10.\nAnswer: -41\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -66 - -116. Let k = z + -35. Solve 0 = 3*m + k, 0*m = -3*l - 5*m - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = -75*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 1937839 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/357244 and -101\/70.\nAnswer: 12503540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from {a: 19, y: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 179416295.\nAnswer: 5, 313, 114643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2014749977.\nAnswer: 379, 5315963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 763003440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1109 + -1109.22. Sort 1, 0.2, 0, -5, j.\nAnswer: -5, j, 0, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -671577 - 190358 = 5*u + 4*a, -4*u - 689548 = 4*a. Let k be (-4)\/(-6) - u\/(-330). Let f = 2632\/5 + k. Calculate the common denominator of f and 127\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4756789 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7828 and 3296?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 195 divide 31238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the third derivative of -d**4\/24 + 11*d**3\/6 + 3*d**2. Let p be n(5). Let b(t) = t - 10. What is b(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((117\/(-3))\/3)\/(7\/(-945)). Suppose k + p = -4*q + 2*q, -q = -2*k + 890. What is q rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in 538\/7, 0, 1, -0.03, -0.02?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from laall. Give prob of sequence aall.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = 2*p**2 + 7*p + 2. Let l be i(-6). Calculate the greatest common factor of l and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes before 10:43 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -0.1, -0.01, 0.0997 in increasing order.\nAnswer: -4, -0.1, -0.01, 0.0997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -153 - -923\/6. Let q = -31\/30 + d. Let b = 4.18 + 0.82. What is the biggest value in q, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 386 - 381. Suppose h*a - 15 = 0, 2*o + 10*a - 1529 = 11*a. Does 22 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -4*d + 4. Let a(y) = y - 1. Let h(j) = 8*a(j) + m(j). Let f(t) = t**2 - t - 3. Let c be f(3). What is the units digit of h(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 8*(2 - 23\/4). Suppose -32*i + 7*i = -900. Let m = b + i. Does 3 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -k**2 - 4*k + 4. Suppose -3*j - p + 15 = 0, 0 = -2*j + 2*p + p + 10. Let g = j - 7. Let x be 11\/g - -1 - 6\/12. Give s(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r**2 - 4*r + 2. Let u be z(-3). Suppose -4*m + 3*m + 12 = 4*y, m = -u*y + 12. Factor m*p**3 + 8*p + 370*p**4 - 366*p**4 - 24*p.\nAnswer: 4*p*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13942 times 15825?\nAnswer: -220632150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 61, 98, 153, 220, 293?\nAnswer: 366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is -5 bigger than 1911?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 496 and 899?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 808*u - 1581*u - 1 + 783*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 311221330031 (base 4) to base 10\nAnswer: 14065421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = 9*j**3 - 11*j**2 + 3*j + 12. What is a(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 37.4 + 7.6. Let s = 34.7366514 + -79.7366431. Let c = s + r. Round c to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -3*l**2 - 4*l + 4. Give d(-5).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -2*i**2 + 222*i + 17. Determine q(111).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than or equal to 147\/649?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13721946?\nAnswer: 2, 3, 7, 239, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 656 at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1102354 rounded to the nearest ten thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35722?\nAnswer: 2, 53, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 517 minutes before 10:31 PM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -7932092.2 rounded to the nearest one thousand?\nAnswer: -7932000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1010*i**3 - 263*i - 137011?\nAnswer: 3030*i**2 - 263","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does -3438 = -3438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-98010)\/(-216))\/(-33) + 1\/4*3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 6176 - 6607. Is d > -2153\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -r**2\/3 + 7*r\/3 - 2 = 0. Calculate r.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -126*p + 114*p - 72 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -65\/62092 and -41\/9025.\nAnswer: 1552300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -9*r + 10. Suppose 0 = r*k - 587 + 49. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-58)\/(-168) - (-2 + 99\/44). Let m(k) = k + 7. Let j be m(-5). Suppose j*x = 4*x. Which is the nearest to x? (a) -2 (b) -2\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 - 14*t**2 - 2*t + 12. Suppose 153*i - 154*i - 4*x + 14 = 0, 0 = -5*x. Calculate w(i).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 8, 34, 68, 110?\n\"Answer: 4*s**2 + 14*s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 - 5 + 7*a**2 - 5 + 15.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m - 48 = -4. Let i be (-540)\/(-10) + 2\/(-1). Let v = i - 33. Calculate the remainder when v is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 4 + 3)*(2 + d**2 - 2) + d**2 + d**2 - 4*d**2 - 2*d**2 - 2*d + 2*d - 27*d**2 + 81 - 23*d**2 - 30*d**2 + 78*d**2 to y*d**2 + f + q*d and give f.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -10 (base 2) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -x**2 + 23*x + 26. What is n(14)?\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 - 17*r**2 - 7*r + 25. Let w be d(-13). Let n = w + 562. Solve 2 - 16 = -2*c - 4*k, 2*k - n = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 36 + -26. Let l = 7 - t. Let x = -203\/159 - 3\/53. What is the closest to 1\/2 in 1\/5, x, l?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 10\/6*(-13 - -16). Suppose 6*y + 5*h = 2*y + 37, -h - 10 = -5*y. Let c(i) = i + 19. Let j be c(-15). Sort k, y, j in ascending order.\nAnswer: y, j, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((a\/(a**(-43)*a))\/a)\/a)\/a)\/a**(-4\/11) assuming a is positive.\nAnswer: a**(444\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 51948688 and 44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-6) + 60\/(-9). Let w(l) = -4*l + 5. Let j(o) = 9*o - 10. Let k(f) = 3*j(f) + 7*w(f). Is k(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2\/5 (c) -0.12 (d) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1278 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 26246.47 litres in millilitres?\nAnswer: 26246470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 284, 2, 1, 3 in descending order.\nAnswer: 284, 3, 2, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express 55*r - 82*r**3 + 313*r**3 - 59*r in the form c*r**3 + w*r + y + q*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-6))**(1\/6)\/(((w\/(w\/(w\/w**(-19))))\/w)\/w**5) assuming w is positive.\nAnswer: w**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 2*x**3 - x**2 + 1. Let y be r(1). Let k(v) = 13*v**2 - 2*v**2 + 3*v**y + 0*v**2. Let b(a) = 2*a**2. Give b(k(q)).\nAnswer: 392*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 146872 and 240.\nAnswer: 4406160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 96 = 356838*g - 356832*g for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = -32726 + 458183\/14. What is the common denominator of (-206)\/6*3\/(-188) and g?\nAnswer: 1316","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -420*y**3 - y**2 + 1. Let n be k(1). Let h be (-6)\/(-3 + 0) + n\/156. Is 0 at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -3*i**3 + 4*i**2 + 15*i + 58. Let v be t(-8). Suppose -5*y + v = 4*g, 5*y = 3*g + 1558 + 137. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 760473099 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 76.92808kg to grams.\nAnswer: 76928.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*h**3 + h**2 - h**2)*(9 + 110 - 48) + 106 - 3*h**3 + 5*h**3 + 64 in the form c*h**3 + t*h + i + u*h**2 and give i.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 3*l = -l - 14, -l = -5*u - 34. What is the third smallest value in -2\/29, 1\/3, 2\/5, u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 253? (a) 0.13 (b) -147 (c) -3 (d) 0.05 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4 - -7. Let t = -30.58 + 27.58. Which is the third biggest value? (a) t (b) 5 (c) 1 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 1045 = -4*n + n, -5*n - 1577 = 3*m. Let k = -207 - m. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x**3 - 3*x**3 + x**3)*(-37*x - 7*x - 7*x).\nAnswer: 153*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 205 = -29*q + 147. Sort -4, 5, 7, q in ascending order.\nAnswer: -4, q, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 3*n)*((7 - 3 + 3)*(-4 - n + 4) + 3*n - 4*n + 3*n + (0*n - 3*n + n)*(-5 + 4 + 3) + 2 - 2 - n).\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v = 12130 + -8132. What are the prime factors of v?\nAnswer: 2, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.9 - 4.1. Let g = 17\/7 + -58\/21. Let v = 2.11 - 1.11. Sort t, g, v in descending order.\nAnswer: v, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, -1, -1397, 21 in ascending order.\nAnswer: -1397, -9, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/11? (a) -1\/4 (b) 2\/19 (c) -0.8 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Express 15 - 11 + 239*u - 5 in the form f + m*u and give m.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {a: 8, c: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -13*w**3 + 17*w**2 + 62*w - 13. Let p(f) = -5*f**3 + 5*f**2 + 21*f - 5. Let n(c) = -3*b(c) + 8*p(c). Determine n(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -18 - -20. Let h(v) = 3*v - 3*v - 2*v + a + 3*v. Let c be h(1). Solve -7*d - 3*s = -c*d + 23, -3*d = -3*s - 9 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 0.1 (b) -2\/7 (c) -0.4 (d) -7 (e) -1\/3 (f) 15570\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 85*l + 616 = 78*l. Let w be (-24*33\/l)\/(21\/2). Suppose -3\/7*x**4 - 3\/7*x**3 + 9\/7*x**2 + 3\/7*x - w = 0. Calculate x.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b - 4*p + 3*p = 9, p = 4*b. Let r = b + 3. Let 3 + a + 0 - 2 + a**3 - 2*a - a**r = 0. What is a?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 533 and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**3 + 208*o**2 - 1304*o + 1760.\nAnswer: 2*(o - 4)*(o - 2)*(o + 110)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -99? (a) 65 (b) -0.5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0 - 113869395.4464\nAnswer: -113869395.4464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11100 - -1101101?\nAnswer: 10001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**3 + 59*m**2 + 95*m - 17339. Give d(55).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 453351995, 453352000, 453352005, 453352010?\n\"Answer: 5*j + 453351990","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 2 z when four letters picked without replacement from yyyyzyyyyyyyyyzyyy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2*(-50)\/6)\/(12\/252*14).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/50*(-8)\/16.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a = -4*n - 9*a - 236, 236 = -4*n + 5*a. Suppose -z + 35 = -2*z. Let u = z - n. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-9)*i)**(-11)\/(i\/((i*i\/((i\/(i\/(i\/i**(-8)*i)))\/i))\/i))**(-5\/3) assuming i is positive.\nAnswer: i**103","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-u + 1 - 1)*(2*u + 4*u - 5*u) + u**2 + u**2 + 4*u**2 - 5*u**2 + 2*u**2 + 0*u**2)*((0 - 1 + 3)*(4*u**3 - 3*u**3 - 2*u**3) + u**3 + u**3 + 2*u**3).\nAnswer: 4*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 36 and 462345.\nAnswer: 5548140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-128*g**3 - 49*g**3 + 112*g**3)*(0*g - 3*g + g) + 5*g**3 - 5*g**3 - 2*g**4.\nAnswer: 128*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -79765, -159505, -239233, -318949?\n\"Answer: 6*g**2 - 79758*g - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-17)\/(-68) - (-22)\/8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = x + 5. Let k be u(0). Let d = k - 3. Let c(h) = -h**2 + 2*h. Let o be c(d). Are o and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) - (sqrt(76) + (sqrt(76) - 5*sqrt(76)*2)))\/(sqrt(4) - (sqrt(40) - sqrt(360))\/sqrt(10)) + 3 + -3*((-1*sqrt(95)\/sqrt(5))**2 - sqrt(19)).\nAnswer: -54 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand w**2 + 5*w + 0*w - w + (118 + 136 - 309)*(2*w**2 + 2 - 2).\nAnswer: -109*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 296264 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1038 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 117714724001 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -3118546 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*w**3 - 233*w**2 + 112*w**2 - 4*w**4 + w + 119*w**2 + 3*w**3 - 55 - 41 to the form a*w**4 + o*w**2 + l + r*w + b*w**3 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/v**(-11)*v)\/v)\/((v*v*v\/(v\/v**(-2\/13)))\/v)*(v**(2\/5)\/v)\/(v**(-9)\/v) assuming v is positive.\nAnswer: v**(1336\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 5337845437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = -2*b**3 + 8*b**2 - 10*b + 2. Let i be f(5). Let r be i\/(-40) + 4\/(-20) + 0. Factor 0*d**2 - 3*d**5 + 3\/4*d**3 - r*d**4 + 0 + 0*d.\nAnswer: -3*d**3*(d + 1)*(4*d - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - 33) + (38 - 22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 23191201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4 + 0 - 11*z - 4.\nAnswer: -11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a**2\/2 - 43845*a - 640794675\/2 = 0. What is a?\nAnswer: -14615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28 = 3*z - 2*f, 8*f - 35 = -5*z + 9*f. Let i(d) be the first derivative of -d + 1 + 1\/2*d**2. Determine i(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 5*f**2 + 4*f. Let l(i) = -i**2 - i. Suppose -7 = -12*o + 5. What is o*g(a) + 3*l(a)?\nAnswer: 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 7000 less than 7000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -7 and -2931.36738?\nAnswer: 2924.36738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8 + -15\/2. Which is the second biggest value? (a) 0 (b) u (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1950*q + 147103 = 1993*q. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*q = -5*c + 8*c - 12, c + 3*q - 8 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-5))\/(-3)*9\/3\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -81\/80 and -57\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 3.1 - 15.1. Let k = y + 12.95. What is k rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -358062268*d**2*n**2 - 4*d**2*n - d**2 - 2*d*n - 2*d - 4*n + 4524 wrt n.\nAnswer: -716124536*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -67185.646 rounded to the nearest 100?\nAnswer: -67200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**4 - q**3 - q**2 - q - 1. Let c(f) = -6*f**4 - 12*f**3 - 12*f**2 - 6*f - 3. Let i(s) = c(s) - 3*h(s). Suppose i(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-9\/7)*b)\/(b\/((b*b*b*b**21)\/b)*b)*(b\/(b\/(b\/b**(-8))))\/b**(1\/4) assuming b is positive.\nAnswer: b**(825\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 54925 + -714397\/13. Is z < -30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 77701.48 to the nearest 100.\nAnswer: 77700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) be the first derivative of h**4\/2 + 1475*h**3 - 18*h**2 - 45*h - 2588. What is the second derivative of v(y) wrt y?\nAnswer: 12*y + 8850","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**2. Let a(p) = -21*p**2 - p - 52. Let o(i) = -1. Let k(j) = -a(j) - 5*o(j). Let d(w) be the first derivative of k(w). Determine d(y(v)).\nAnswer: -42*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -m. Let d(l) = 3*l - 3. Let u(n) = -d(n) - 4*y(n). Calculate u(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 787328 and 448.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (88\/32)\/(1\/(-4)). Let y(v) = v**3 + 11*v**2 - 2*v + 5. Is 10 a factor of y(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -6*h + 6. Let d(m) = 13*m - 14. Suppose 4*i = o + 20 - 13, 4*o + 8 = -4*i. Let u(t) = o*d(t) - 7*v(t). Let w(j) = 6*j + 5 - 5. Determine w(u(b)).\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 149 + -130 - (0 - (1 - -5) - 3).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = o**3 - 9*o**2 - 9*o - 4. Let v be a(10). Let r(p) = 2*p**2 + 2*p - 2. Let b be r(-5). Let m = b - 37. Solve u + v - m = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 705, -41, 4 in descending order.\nAnswer: 705, 4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -5892 - 6876 - 3493 + 3907 = -174*i for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1964*0.046702.\nAnswer: -91.722728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 151*d + 127*d = 556. Let j(k) = 6*k**3 + 3*k**2 - 3*k. What is j(d)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -2*s**2 + 58*s + 388. Determine c(-10).\nAnswer: -392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = 4430*u**3 + 539*u**2 + 10*u + 529. Let g(f) = -2*f**3 - f + 1. Let x(h) = -10*g(h) - p(h). Let z(s) = 49*s**3 + 6*s**2 + 6. Give 6*x(n) + 539*z(n).\nAnswer: -49*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 76462604?\nAnswer: 2, 131, 337, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let x = 582 + -579. Suppose -t + 20 = 3*t. What is the smallest common multiple of t and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/n**(1\/5))\/(n*n*n\/(n**(-2)*n)*n*n)*n**4\/(n\/(n*n*n**(-3))))**(-5\/6))**(2\/51) assuming n is positive.\nAnswer: n**(16\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -4*u**3 - 21*u**2 + 44*u - 5. Let n(k) = 3*k**3 + 21*k**2 - 43*k + 5. Let x(v) = -3*n(v) - 2*z(v). Let y be x(-23). Does 10 divide (-4268)\/y*(-10)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 11*j**2. Let o(q) = -4*q - 5. Let u(z) = 2*z + 2. Suppose 4*l - 4*s - 24 = -0*l, -3*l + 5*s = -26. Let w(f) = l*o(f) + 5*u(f). Give w(n(d)).\nAnswer: 22*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 34129440440 rounded to the nearest one million?\nAnswer: 34129000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 8*v. Let a(g) = -7*g. Give -7*a(i) - 6*q(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2312 + 2312. Sort 4, s, -3, 24.\nAnswer: -3, s, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(143)*2*2 - sqrt(143)) + sqrt(143) + sqrt(143))*5)\/(sqrt(1100)*-2*2).\nAnswer: -5*sqrt(13)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 87 and 16762.\nAnswer: 50286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -3*(-2 + sqrt(243) + sqrt(243)*1 + 4 - (2 + (-4*(-1 + sqrt(243)) + sqrt(243))**2)).\nAnswer: -702*sqrt(3) + 6610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 15239, 0, -4, 10 in decreasing order.\nAnswer: 15239, 10, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 9) in base 8?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12897808 and 667128.\nAnswer: 38693424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Are 970261753 and 970261751 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 4*y**2 + 6*y - 4*y**2 - y**2 + 8 + 3*y. What is the units digit of a(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 549 - -110?\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n*n**(-40))\/(n\/(n*(n\/(n*n**42))\/n))*(n*n**33)\/((n**(5\/7)*n*n)\/n*n) assuming n is positive.\nAnswer: n**(-355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-3)*600\/(-160).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 99384075 a multiple of 514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = 186 + -185.9999749. Round n to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -10310.7 times -2168\nAnswer: 22353597.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 139795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a - 12*a = -9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be -4 + (-6)\/54 + (-292)\/(-36). Solve 2*w = w + t*a, -4*w = -4*a - 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -4963*k**2 - 6*k. Let h(v) = 12293355*v**2 + 14865*v. Give -2*h(b) - 4955*i(b).\nAnswer: 4955*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1085 divided by -7.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -47.5 and 474940?\nAnswer: -22559650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -6*d - 839. Let i(t) = -3*t - 421. Calculate -4*f(q) + 9*i(q).\nAnswer: -3*q - 433","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -57*c - 66. Let b be t(-4). Let x = b + -633\/4. Find the common denominator of x and -125\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 35 + -33. Suppose -f*j + 19 = 13. Suppose -w - 101 = -3*i, 2*i = 3*i + j*w - 17. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (158 - 4 - 25)*(0 - 21 - 3)*(-2*h**4 - 3*h**4 + 7*h**4) to the form i + p*h**2 + z*h**4 + l*h**3 + v*h and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10774 + -3991. List the prime factors of b.\nAnswer: 3, 7, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -74187\/14516 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 141 = -7*d - 41. Let n be 10\/(-3)*(-39)\/d. What are the prime factors of (-1008)\/(-45) + 2\/n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence lyyz when four letters picked without replacement from {h: 5, w: 1, k: 1, z: 2, y: 4, l: 2}?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/4)\/3*3*(-6)\/(-21)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = 2*d**3 + 4*d**2 + 9*d - 7. Is r(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and -1\/1078 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.1281 and -5639637779?\nAnswer: 5639637778.8719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6 + -4 + (1 - 0) - (-54 + 51)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1227862, -1227865, -1227868, -1227871, -1227874?\n\"Answer: -3*v - 1227859","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j be (1 + 0)*(-1 - -6). Suppose 2*a + 31 = 4*g - 49, j*a - 9 = -g. Is 12 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -t**2 + 23*t - 26. Suppose 0 = -3*p - 5*l - 0*l + 42, 15 = -5*l. Let u be j(p). Suppose 0 = -10*y + 5*y + u. Solve 2*k = -0*k - y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*sqrt(567)*-1 - 4*(-1 + sqrt(567)).\nAnswer: -18*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 55420 - -3?\nAnswer: 55423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and 1.364596?\nAnswer: -2.729192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 201*c + 11. Let b(y) = -98*y - 6. Let t(p) = -11*b(p) - 6*h(p). Let m(u) = u**2. Calculate m(t(i)).\nAnswer: 16384*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8552 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = 2*j**2 - 9*j + 9. Let h(i) = -2*i - 10. Let u be h(-8). Let a be f(u). What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -113 - -163. Suppose -3*t - 2*t - k = 0. Let a(p) = -p**2 - 12*p - 11. Let c be a(t). What is the greatest common divisor of c and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -31 + 31. Find the common denominator of 31\/4 and 28\/(-21)*(b + (-114)\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in six fifths of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-3 + sqrt(125)).\nAnswer: -10*sqrt(5) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 7, c: 6, u: 6}. Give prob of picking 3 c.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -2, 1512, 5, 15, 34, 1.\nAnswer: -2, 1, 2, 5, 15, 34, 1512","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 13.8321 + -13.45. Round w to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48426204 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -140, -122, -104, -86, -68?\n\"Answer: 18*u - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4444184*l**3*t*x**2 - l**2*t*x**2 - 2*l**2*t*x + 5367*l**2*t + 3*l*x**2 + 2*x wrt l?\nAnswer: -26665104*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxxx when four letters picked without replacement from xjjjxxxxxx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = 24 - 19. Solve -y + z - 2 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-107 - -89) + 33 + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -543.138 rounded to the nearest integer?\nAnswer: -543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -2, 10 in ascending order.\nAnswer: -2, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**5 + 5*m**4 - 5*m**3 + 2*m**2 - 5. Let v(z) = z**5 + z**4 - z**3 - z**2 - 1. Let j(r) = s(r) - 5*v(r). What is the third derivative of j(d) wrt d?\nAnswer: -360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -126*o + 28. Let j(w) = 14*w - 3. Let k(g) = -3*d(g) - 28*j(g). Let h(y) = 3*y**2. Give h(k(b)).\nAnswer: 588*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -10*((-21)\/12*4 + 7334\/965)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is -26814 bigger than -26934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = 18926 - 18889. What is the greatest common factor of 35742 and l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -10 divided by 938979\nAnswer: -10\/938979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*i = -8*i + 168. Suppose i = -j + 8*j. 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 (207\/(-1380))\/((-3)\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = l**3 - 12*l**2 + 4*l - 76. Calculate h(9).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} {"text":"Question: Differentiate 397*s**2 - s - 357 wrt s.\nAnswer: 794*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 558 + 14*l - 270 - 283.\nAnswer: 14*l + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2 + 1. Let r = d + 10. Suppose 195*t - 207*t = -756. Calculate the highest common divisor of t and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3) + sqrt(108)\/sqrt(4) + sqrt(3) + sqrt(3) + (1*sqrt(9)\/sqrt(3))**2 + sqrt(3).\nAnswer: 3 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -58492975 divided by 2339719.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be 105\/10 - 4\/8. Does 4 divide (-88)\/(-5) - o\/75*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -2\/7, -16, -52352?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m = -0*m + 6. Suppose -2*v - 4*h + 24 = 0, 4*v - m*v = -2*h + 14. Let b(l) = -l**2 + 2*l - 1. Let q be b(1). Solve -v*u + q = 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -m**3 - 6*m**2 + 7*m. What is k(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 321 (b) 1\/396 (c) -851\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve o - 2*b + 4 = 0, 9*o - 4*o - 28 = -2*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 - -2. What is the third derivative of -y**b + 2*y**2 - 5*y**2 + 2*y**2 wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -6 (b) 19 (c) 2\/39 (d) -1\/9 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 7472 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*a = 12*a - 4*c - 12, -5*c = -4*a + 15. Let d(o) be the first derivative of a*o + 1 + 1\/3*o**3 + 0*o**2. Let x(g) = -g**2. Give d(x(v)).\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -412*b**3*r**2 - 2*b**3*r + b**2*r - 2*b*r - 3*b - 36*r**2 wrt b.\nAnswer: -2472*b*r**2 - 12*b*r + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*k - 12 - 4 = a, 3 = k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put 1, -47025955, 4 in descending order.\nAnswer: 4, 1, -47025955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4, 53, 146, 269, 416?\n\"Answer: -t**3 + 24*t**2 - 8*t - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -8*t + 11. Let q(w) = w**3 - 5*w**2 - 15*w + 4. Let r be q(7). What are the prime factors of b(r)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -43*m**2. Let t(i) = -2*i**2 - 25*i - 17. Calculate t(v(u)).\nAnswer: -3698*u**4 + 1075*u**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 8830902 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-385)\/2 + 5 + (-6)\/(-4). Let w = h + 210. What is the remainder when 61 is divided by w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 408 (b) 1181 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bs when two letters picked without replacement from {j: 1, s: 2, b: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -421 (base 8) to base 15\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) be the first derivative of m**2\/2 - 1. Let g be v(3). Suppose j - 14 = -4*c, -5*j + 4*c = -878 + 808. Solve -j = g*p - 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 4 (b) -0.01 (c) -1\/163 (d) 0.844 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 356659617.\nAnswer: 3, 118886539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -0.1051131+11\nAnswer: 10.8948869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 754 (base 14) to base 9.\nAnswer: 1876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2255710349194.000001473 - -2255710350306. Let d = h - 1112. Round d to 7 dps.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13542452.\nAnswer: 2, 7, 11, 43969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*p**2\/3 + 28*p\/3 + 384.\nAnswer: -2*(p - 32)*(p + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2043 is divided by (-5)\/((-10)\/84) + (-30 - -29)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + ((5*sqrt(190)*-3)\/sqrt(10) + (sqrt(38)\/(sqrt(6)\/sqrt(3)) + sqrt(19) - sqrt(76)*-3))**2.\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 545047687 rounded to the nearest 100000?\nAnswer: 545000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 421507067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -39c (base 15) in base 2?\nAnswer: -1100110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4 + 1311c8?\nAnswer: 1311c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9914 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l = 3*u - 1677 + 12605, 10880 = 2*l + 3*u. Does 29 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 506 (base 8) to base 12\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -1751, -13, 1, 3, -4, 0, -5 in increasing order.\nAnswer: -1751, -13, -5, -4, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:17 AM and 4:58 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = -9 + 14. Suppose g*l - 57 - 293 = 0. Calculate the greatest common divisor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*g + 108 = -3*g. Let b = g - 25. Calculate the common denominator of 53\/2 and ((-6)\/(-24))\/(b\/206).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*b**2 - 22*b**4 - 20*b**4 - 44 - 11*b**4 + 12*b**3 - 8*b**2 + 59*b**4 to s + m*b + t*b**4 + x*b**2 + f*b**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 1090*c**3 + 115 wrt c?\nAnswer: 3270*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -15*i**2 + 10*i + 3*i - 8*i in the form f*i**2 + g + z*i and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -4150 - 12*o + 4150. Let b(f) = 2*f**2. What is b(k(z))?\nAnswer: 288*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -436794, -873585, -1310374, -1747161?\nAnswer: -2183946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = 5*w - 3*o - 44, -5*o - 26 = -4*w. Suppose p = -2*b + 7*b - 29, -2*p + 7 = 3*b. Suppose -67 = -16*h - 51. Sort w, h, b.\nAnswer: h, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: ((390\/(-208))\/(54\/225))\/(-5*(-3)\/(-12))\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 20121221200222 (base 3) to base 9\nAnswer: 6557628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose s = -3*t + 97, -2*t + s + 48 = 5*s. Suppose 4*c - 26 = t. Is 3 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*i + 3*p = -30*i + 15, 3*i = -6*p + 39 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y be 11\/((-66)\/36) - -8 - -286*343. Round y to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-1*sqrt(84))\/(sqrt(700)\/sqrt(4))*-6.\nAnswer: -3 + 12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1 + (((sqrt(66) - -1*sqrt(66))*4)\/(-1*sqrt(6)*-5) - (sqrt(88)\/(sqrt(8) + 2*sqrt(200)) + 0)))**2.\nAnswer: 166*sqrt(11)\/55 + 7714\/275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-25193)\/649 + (-4)\/22. Sort 4, -2, 3, w in ascending order.\nAnswer: w, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*n + 20 = 16*n. Suppose 0 = -n*b + 11*b - 621. Let a = b + -328. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t = -19 - 1, -2*y + t = -80. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 47339 - 46862.62. What is l rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-u**2 - 11 + 11 + u**3)*(6*u**2 + 3*u**2 - 10*u**2).\nAnswer: -u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11, 104, 275, 524?\nAnswer: 851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 - -6. Solve g = 3*m + 2*s - 5, -4*m + 5*s = 21 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*l + 4*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f + 4*n + 7 + 162 = 0, 5*f = 3*n + 828. Let x be (6\/(-2) - -2)\/((-33)\/f). Solve c - 2 = 2*r, r + x*c = 4 + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a*a**(-6)))\/((a*a**13)\/a))**(9\/2) assuming a is positive.\nAnswer: a**(-63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -7*f**3 - 8*f**2 + 3*f - 25. What is the units digit of a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 624309, 624536, 624749, 624942, 625109, 625244, 625341, 625394?\n\"Answer: -i**3 - i**2 + 237*i + 624074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) be the first derivative of 1\/3*p + 1\/3*p**3 + 3 + 1\/2*p**2 + 1\/12*p**4. Factor g(w).\nAnswer: (w + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 162 - -153530?\nAnswer: 154022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/5, 4741, 2\/9 in ascending order.\nAnswer: -2\/5, 2\/9, 4741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {s: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -345*j - 535*j + 22034 + 18754 = -2332 for j.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*a = -5*s + 30, -2*s + 4 = -2*a - 12 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-21 - 0 - ((3 - -24) + -32)) + -17.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -4*g + c, -3*g - 3*c - 604 + 628 = 0. Solve g*j = 4*a - 12, 4*j + 2*a - 6 = 8*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -13768*b - 1. Let d(g) = g**2. What is q(d(c))?\nAnswer: -13768*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -3*t. Let r = 156 + 12. Let o be ((-144)\/r)\/((-4)\/14). Solve t = -o*l - 2*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -5*t - 7 + 12 + t + 14 - 3*t as j*t + p and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round -199589980 to the nearest 100000.\nAnswer: -199600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -17127 (base 12) in base 11?\nAnswer: -22887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1676147 to the power of 1\/2, to the nearest integer?\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/3? (a) 27 (b) 131 (c) 162 (d) 2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 41023881.7*-1\nAnswer: -41023881.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 u and 2 m when three letters picked without replacement from {u: 7, m: 7, i: 5}?\nAnswer: 49\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2\/3, -1, -0.2, 0.089 in increasing order.\nAnswer: -3, -1, -2\/3, -0.2, 0.089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 4338, 12014, 19678, 27330, 34970, 42598, 50214?\nAnswer: 57818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 478 = 4*g - 617, 4*x + 5*g - 885 = 0. Suppose c + d = x, -c + 5*d = -5*c + 856. Let b = -136 + c. List the prime factors of b.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11111 - -1000000?\nAnswer: 1011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -w + 5*w - 875 - 2949. What is the remainder when w is divided by 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*p - 2*j + j, 1 = -5*p + 2*j. Suppose 11115 = n + 18*n. Let f be (60\/n)\/(4\/54). Which is smaller: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.16 - -0.66. Let l = -184\/7 + 1670\/63. Let b = 1\/115 + 223\/805. What is the third smallest value in l, y, b?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 9 = -s - 3*b, -4*s + 12 = -b. Suppose 6*m + 4*q + 14 = s*m, q = -5. Solve g = m*n + 3*g + 2, -3*n + 5 = g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1068960 by 2227.\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-4*(1 + 1 + (1 + sqrt(320))*-3)*1 + 5)**2.\nAnswer: 21888*sqrt(5) + 1659241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, x: 2, y: 4, g: 3, v: 1}. Give prob of picking 2 g.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 240 = -g. What is the highest common divisor of g and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 2*f + 2*b - 80, 0 = f + 5*b - 47. Let w(g) = g**2 + g - 9 + 3*g + 2 + 5. What is the remainder when f is divided by w(-7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 31 - 63. Let d = h - -34. Factor -8\/3*q + 8*q**d + 0 + 14\/3*q**3.\nAnswer: 2*q*(q + 2)*(7*q - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -0.12 (b) 4 (c) 0.4 (d) 0 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -13950 times 0.395?\nAnswer: -5510.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4\/3*(-35334)\/(-104)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2 or 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1513474*k**3 - 5527205*k.\nAnswer: -9080844*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z**4\/11 - 16*z**3\/11 - 26*z**2\/11 + 184*z\/11 + 192\/11 = 0. Calculate z.\nAnswer: -3, -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.012 take away 0.2011099753?\nAnswer: -0.1891099753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from odoo. What is prob of picking 2 o and 1 d?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.312445209 rounded to 5 decimal places?\nAnswer: -0.31245","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 r when two letters picked without replacement from rfnrnfmnffnm?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = -8.051 + 0.051. Sort p, -5\/3, -0.1, -4 in descending order.\nAnswer: -0.1, -5\/3, -4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1319119769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 85\/1776 and 35\/8.\nAnswer: 1776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -187 + 7102 - (0 - 16\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times -1.3?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 6)*56\/420?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 4245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -13*l**3 + 5*l**2 - 29*l - 167. What are the prime factors of i(-5)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -37 - (22 + 3 + 1 + -7 + -16)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -67135393.6 to the nearest 1000000.\nAnswer: -67000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 + 11. Suppose 0 = -4*f + 10 + 2. Suppose 0 = f*r - 19 - 8. Is w smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 67*o - 47*o - 72895 = 82905. Calculate the highest common factor of 40 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kkfkkxkkkkkkkk. Give prob of picking 1 x and 1 f.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -49*v + 303*v + 81*v + 95*v + 523*v to o*v + b and give o.\nAnswer: 953","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.27? (a) -1\/5 (b) -2\/7 (c) 0.7 (d) -17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 13410778.\nAnswer: 2, 6705389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2587 in -2\/15, -1\/7, -0.05?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6222*u**3 + 4 - 6214*u**3 - 5 + 1 + 12433*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -31*p*v**4 + 5*p*v**3 + 6*p*v**2 + 15*p*v + 281*v**3 - 60*v**2 wrt v?\nAnswer: -744*p*v + 30*p + 1686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -84, -116, -148, -180, -212?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes before 3:09 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8563?\nAnswer: 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((2*sqrt(209)*1 - sqrt(209))\/(-1*sqrt(22)\/sqrt(2)) + (sqrt(152) - (sqrt(152) + (-2*sqrt(152) + sqrt(152))*5 - sqrt(152)))\/(-1*sqrt(8)*2))*3.\nAnswer: 72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u + 841 - 838 = 3*v, 4*u - 4*v = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*k + 33 = -2*f, 2*k = 96*f - 153*f - 218 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round 35 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = -w**2 + w. Let x be z(0). Suppose x = -2*k + 7*k. Suppose -4*s - 28 = -3*v - k*s, 5*s + 2 = v. What is the highest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 105895249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 163859 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -10*q**2 + 0*q**2 - 5*q**2 - 16 - 96 - 1 wrt q?\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -631.77 + 637. Let l = n - 0.23. What is the biggest value in -2\/13, 0, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18175*w**2 + 9401*w**2 + 8790*w**2.\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 73 (base 13) in base 16?\nAnswer: 5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2167\/(-3))\/(4\/4). Let u = 4219\/6 + w. What is the common denominator of u and (-190)\/(-18)*36\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 684384902 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 380? (a) -8 (b) 9 (c) 507\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68 = 3*x + 14*x. Let s(l) be the second derivative of 1\/8*l**4 + 0 - x*l + 3\/4*l**2 - 1\/2*l**3. Factor s(o).\nAnswer: 3*(o - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 6\/(-27) - 44\/(-36). Let z be 3*(2 + 5\/(-3)). Suppose -t + z + o = 0. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1610837*o + 1610840*o + 2 - 3.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -195 + 35*g**3 + 407 - 210 - g**2 + 49*g**3 + 4*g**2 - 3*g**2.\nAnswer: 84*g**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 169\/820020 and 119\/15800.\nAnswer: 8200200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -76 - -76 - (-2 - (-1 + 0))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 30\/(-4)*1*58\/(-145)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 49642?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1660 + 160 + k**2 - 838 + k.\nAnswer: k**2 + k - 2338","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -294, -304, -318, -336, -358?\n\"Answer: -2*t**2 - 4*t - 288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -11015*m + 10987*m = 1195 - 271 for m.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000210071437 rounded to 7 decimal places?\nAnswer: -0.0002101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-65)\/(-10)*2 + -3 + -1. Let v(x) = -13*x + 132. Let p be v(y). What is the greatest common divisor of p and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 4*q**2 + 104*q + 101. Let g be i(-25). Put 19, 4, g in descending order.\nAnswer: 19, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 715 and 325.\nAnswer: 3575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*s + 4 + 19*s**2 - 5 - 42*s**2)*(3*s - 2*s - 2*s).\nAnswer: 23*s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -293014608419 + 188943437888200109\/644826. Let h = o - 2\/8267. Let p = -1\/26 + h. Which is the third biggest value? (a) -1\/5 (b) 2\/5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 76, 2, -3, 4, 0.3 in descending order.\nAnswer: 76, 4, 2, 0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**4\/(((x*x**3)\/x)\/x)*(x*x*x**(-2\/5))**(-34))\/((x**(2\/3)*x\/(x\/(x*x*x**(3\/7)\/x)))\/(x**(-3\/2)\/x**(1\/2))) assuming x is positive.\nAnswer: x**(-5932\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in thirteen quarters of a week?\nAnswer: 32760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 382344054?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 2*f - 174 = 0, 4*f - 935 = -5*g - 1233. Let d = 0 - 1. What is the nearest to d in g, -3\/8, 0.4, -3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = -135*f**2 + 351*f + 98. Let z(w) = 45*w**2 - 116*w - 33. Let q(t) = 3*h(t) + 8*z(t). Suppose q(g) = 0. What is g?\nAnswer: -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23400484.\nAnswer: 2, 5850121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/(-45) + ((-8792)\/(-30))\/7. Suppose -o = 12*r + 18. Is -30\/7 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -h - 2*y - 0, 3*h - 15 = -3*y. What is the second derivative of -z**2 + 0*z + h + 2*z - 1 wrt z?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2\/(-4))\/((-3)\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:13 PM and 10:41 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 323309101*f**5 + 447152539*f.\nAnswer: 6466182020*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19073126.\nAnswer: 2, 29, 328847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c = 36 + -24. List the prime factors of (-4)\/(-6) - ((-10688)\/c)\/8.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -q**5 + 524*q**4 + 769*q**2 + 2 wrt q?\nAnswer: -60*q**2 + 12576*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 243827 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.1 + -0.27\nAnswer: -0.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.17505 times 0.6?\nAnswer: 0.10503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 10 + 18*o - 10 - 19*o. Suppose 0 = 2*b - 0*b + 4. Let v be b\/(-9) - 208\/(-36). Let k(m) = m**2 - 8*m + 1. Determine v*q(t) - k(t).\nAnswer: -t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1 + 2 + 2 + -1. What is the second derivative of t**m + 4*t + 3*t - 6*t wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the second derivative of 3*t + 0*t**3 - 3*t**2 + 0 + 1\/10*t**5 + 0*t**4. Differentiate h(b) with respect to b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 73 a factor of 490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*b + 3358 - 6960 = -5*v - 0*v - 3477, v = 4*b - 7 for v.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1332 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = -74 + 79. Suppose 0*l - 535 = -d*l. What is l rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = o**3 + 64*o**2 + 20*o + 816. Determine k(-64).\nAnswer: -464","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (1 - -2) - -8 - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 113908 - 74837495\/657. Calculate the common denominator of g and 21\/365.\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 194bb + 3?\nAnswer: 194be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, -68.1, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5\/549? (a) 2680 (b) 24 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:45 PM and 2:35 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*o - 6*o - 20 = -2*p, 4*o + 3*p = -38 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -885, -884, -883, -882, -881?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) be the second derivative of 49999\/6*a**3 + 0 - 2*a + a**2. Let r be t(2). What is r rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -7 - -1 - (-141 - -133).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9*k - 4*k + 6*k)*(1 + 2 - 1)*(2*k**2 - 4*k**2 + 3*k**2).\nAnswer: -14*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the second derivative of -p**3\/3 + 2*p. Suppose 0 = 4*i + a - 5, 5*i - 5 - 2 = -a. Let x(l) = 0 + l**2 + 0 - 2*l**i. Determine x(o(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w, 1 y, and 1 t when three letters picked without replacement from cooyttydw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p = 347 + -502. Let o = p - -219. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -64 = -2*s + 4*s. Let f be (-6)\/8 + 10824\/s. Is 1\/(1*(-3)\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*h + 189 - 169 = 0. Let u = 1 - 0. Which is smaller: u or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -0.08, 0.4, -2, 3773, -1 in descending order.\nAnswer: 3773, 3, 0.4, -0.08, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -5*c - 2. Let l(x) = 60*x + 25. Let b be 25*(2\/1 - 1). Suppose 0 = -293*v + 296*v - 6. Give b*s(w) + v*l(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -6*j + 2. Let d(f) = f + 1. Calculate -3*d(g) + s(g).\nAnswer: -9*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 76580552 a multiple of 904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = m + 14. Let k be p(-6). Suppose -2 = 3*o - k. Suppose 0 = 2*h + 4*t - 24, -t + 34 = 4*h - 0*t. Calculate the highest common divisor of h and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4 in -2\/5, 5, 0.13, 1\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -121 - 1408096.39.\nAnswer: -1408217.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -15220, -15219, -15218, -15217, -15216?\n\"Answer: y - 15221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 79213521 to the power of 1\/2, to the nearest integer?\nAnswer: 8900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -339, -665, -993, -1323, -1655?\n\"Answer: -c**2 - 323*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = g**2 + g - 9. Calculate the least common multiple of z(-4) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(66)\/(sqrt(44)\/sqrt(4)))\/(sqrt(250)\/sqrt(5))*-6)**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -3, -18, 0.2, 468, -30 in descending order.\nAnswer: 468, 0.2, -3, -18, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 6, k: 7}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(432) + 2*(0 + sqrt(432))**2 - (-1 + sqrt(432) + 0))*-5.\nAnswer: -4325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**3 + 5*y**2 - 5*y + 4. Let i be z(-5). Suppose 3*r - 3 = 0, -5*v - 80 = -2*r + 12. Let g = v + i. Solve -5*s - g = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -1\/89, -5, 0?\nAnswer: -1\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**3 - 4*i**2 + 2*i - 4. Let w be y(4). What is the second derivative of -w*j**5 + 25*j - 2*j + 2*j**5 wrt j?\nAnswer: -40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 19.626*6.\nAnswer: 117.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 36 divide (-3295)\/(-15) - -4 - (-2)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1603300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 393873 is divided by 51.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 4471.889 years to months.\nAnswer: 53662.668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-32)\/48)\/(4\/39) + 7. Factor 0*k**3 - j*k + 1\/4*k**4 - 3\/4*k**2 + 0.\nAnswer: k*(k - 2)*(k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 = -5*q - 2*z, -q + 3*z + z = 10. Let g be ((-2)\/6)\/(1\/(-9)). Suppose -1 = k - 4. Solve -k = -g*b + q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -7, -3, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6791017 and 1073?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange w**2 + 5*w + 2*w**4 - 4 + 0*w + 0*w**4 - 2*w to g*w + p*w**2 + d*w**3 + y + m*w**4 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 630.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 674157452.\nAnswer: 2, 11621, 14503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 104 a factor of 125915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4*8\/8)\/(-46).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 372 - -349. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 5 in -0.5, 4.31, 2, 4?\nAnswer: 4.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 + 12*r**2 - 2*r + 11. Determine c(6).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-84)\/10)\/((5\/(-25))\/((-43)\/(-344)))?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from eeitgiqqr. What is prob of sequence tiei?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (0*g + 3*g - 2*g)*(4*g - 2*g**3 - 4*g) + (142 - 100 - 136)*(-18*g**4 + 6*g**4 + 29*g**4) as s*g**4 + z*g**2 + r*g**3 + j + l*g and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 944 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:04 AM and 10:43 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = -g + 66*d - 61*d, -5*d - 160 = -5*g. Solve -g*c - 32*c = -420 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 176 and 2426072?\nAnswer: 4852144","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Simplify k**(-1)*k*k**(10\/7)*k**14*k*k**7\/k*k*k assuming k is positive.\nAnswer: k**(171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (63 - 446 - 179 + 65)*(2*r**2 + 4*r - 4*r).\nAnswer: -994*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) 78734 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 48 = 3*h. Let i = h - 2. Suppose 0 = -g + 18 + i. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) be the first derivative of 741*z**2\/2 + 190*z - 2833. Differentiate g(j) with respect to j.\nAnswer: 741","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -170688927*g - 190845015*g + 0 + 1.\nAnswer: -361533942*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30 + (48 - 70) - (-1 + -3).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -17, -68, -153, -272, -425?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 39*m + 3*t + 750 = 0, -4*m + 3*t + 322 = 389 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be (34 - 264)*-3*6\/10. What is the greatest common factor of n and 138?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 13 - 13. Suppose 0 = -2*s + k + k + 16, -4*s + 5*k + 28 = z. Calculate the lowest common multiple of 4 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nmnzozz. Give prob of sequence zoz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 3, d: 1, y: 1}. Give prob of sequence dl.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 17039, 17044, 17049, 17054?\n\"Answer: 5*b + 17034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 4*y**2 - 2 - y**2 + 6*y + 1. Let w(k) = k**2 - k. Let r(h) = -5*w(h) - z(h). Let x = 197 + -196. Give r(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -361*m**3 + 404*m**3 - m + m + 90*m**3.\nAnswer: 133*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - (-75)\/2)\/(52\/104). What is the second derivative of -r*p**2 - 22*p + 0*p + 113*p wrt p?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 128 + -128.2. Which is the closest to -3? (a) -3 (b) w (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 2\/39 (b) 17.4 (c) 1\/2 (d) -0.47 (e) -4 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1807 a factor of 4308155503?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 72 by -3.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 58191538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -n - 457. Let l(w) be the first derivative of -5*w**3 - 11221. What is x(l(p))?\nAnswer: 15*p**2 - 457","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 102 (base 3) to base 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 826212419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 61114052 bigger than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c = 97.09877 - 0.09877. Which is smaller: c or 29\/7?\nAnswer: 29\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 148 + -1034\/7. What is the nearest to 1\/3 in r, -2\/9, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27051398*m + 27051398*m + 6*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/66 and 87\/92246.\nAnswer: 276738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + (sqrt(216) - (sqrt(216)*-2 - sqrt(216)))\/sqrt(12) - (2 + (2 + sqrt(128))*-5)) + -4)**2.\nAnswer: 936*sqrt(2) + 5489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:24 PM and 1:21 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out 14129 - 8309413.\nAnswer: -8295284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u**3 + 8*u**2 - 21*u + 22. Does 16 divide k(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = 3*p**3 + p**2 + 3*p - 1. Let k be v(1). Let r be (48\/8 - k) + 0. Solve -9*q + 7*q - 6 = r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6925075?\nAnswer: 5, 277003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand -1636 + 9*c**3 + 1636 + (4*c - 3*c - 3*c)*(-2*c**2 + 3*c**2 + c**2) - 2*c**3 + c**2 - c**2 - c**3 - c**3 + 0*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 347*p**2 + 4246*p - 40. What is u(-12)?\nAnswer: -1024","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 9*a**2\/4 - 1181085*a\/4 + 393693\/2.\nAnswer: 3*(a - 131231)*(3*a - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is ((-408)\/(-136))\/(6\/(-2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = -2*i**3 - 142*i**2 + 11*i + 773. Give x(-71).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 29325659777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 344, 0 in decreasing order.\nAnswer: 344, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 267*i - 3. Let z(u) = 4*u**2. What is o(z(g))?\nAnswer: 1068*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4799 + 15239. List the prime factors of z.\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -6*y + 396. Give x(64).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1695? (a) 72 (b) 85 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14633 is divided by 287?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 8835 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1767 + 1772. Let r(v) = -v**3 - 3*v**2 + 2*v - 6. Let q be r(-4). Which is the fourth biggest value? (a) 4\/7 (b) i (c) -0.3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 5*i = 12, -b + 3 = i - 3. Let t = b + -5. Let s(a) = 3*a**3 + 2*a**2 + 2*a + 3. Give s(t).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/563 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:25 PM and 1:30 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -2*z - 8, -238*z + 25 = 5*h - 243*z. Solve 0 = -4*t + h*u + 24, -4*t + 0*u = -5*u - 36 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-3\/2)\/q*q*q**15*q assuming q is positive.\nAnswer: q**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u = -2016 - -2023. Let i(g) = -7*g**2 - 27*g. Let l(o) = 10*o**2 + 40*o. What is u*i(a) + 5*l(a)?\nAnswer: a**2 + 11*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 16719 divided by 579?\nAnswer: 5573\/193","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the third derivative of -b**5\/60 - b**4\/6 + 3*b**2. Suppose 4*f = f - 12. Calculate y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(88) + (sqrt(88)*-2 - sqrt(88)))*3 - sqrt(88))*-5)\/(sqrt(80)\/(-1*sqrt(90))).\nAnswer: -105*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 76 and 32880?\nAnswer: 624720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 37\/340 and 97\/8437882.\nAnswer: 84378820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0014 times 248.5?\nAnswer: 0.3479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5 or -136\/21?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 309 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j = -6 + 20. Suppose 0 = -2*n + 17 + 33. Let d = n - j. Solve 0 = -4*v - 3*m + d, v + m - 12 = -2*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) be the second derivative of 0*w**3 - 9*w + 0 + 1\/12*w**4 + 27\/2*w**2. Let l(o) be the first derivative of u(o). Let g(y) = -7*y**2. Calculate g(l(s)).\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 124065925.\nAnswer: 5, 4962637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/6 and (4\/(-40))\/(20\/16).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: dd4 (base 16) to base 7\nAnswer: 13215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 23104710 (base 8) in base 12?\nAnswer: 181a948","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 404 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - t**2 - 4)*(3*t - t - 3*t + (3 + 5 - 1)*(2 - 2 - 2*t)) to c + q*t**3 + s*t + b*t**2 and give q.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.09 - 0.19. Let x = -0.72 - -1.12. What is the closest to d in 2\/7, x, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 6*w - 10. Suppose -38 = -w*s - 3*f - f, -4*f + 20 = 0. Suppose -a + 4*a + s = 0. Let h(g) = -3*g - 3. Give h(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17008 - 16984 + 33992 - 30*a + 32*a.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 15, 47, 9, -0.1.\nAnswer: -1, -0.1, 9, 15, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*w - 5*w + 108 = -14*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 6115 = 960*v + 65635 for v.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -102012202021021 (base 3) in base 8?\nAnswer: -26566602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*i - c - 26, 3*i + 12*c - 346 - 340 = -656 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w = 17 + -11. Let u = -8 + 2. Let j = u + w. Which is the second biggest value? (a) -1 (b) -3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.8*-1.3\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 10743837 = 4*a + 3*h, 0 = 5*h + 15. Let g = a + 4485960. What is g rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + 6*-2*sqrt(68))*-2 + (-3 + 4*sqrt(68))**2 + -5 + (2*sqrt(68))**2.\nAnswer: 1364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -252*h**3 - 11 + 16 - 7.\nAnswer: -252*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-7\/4)*q*q\/(q\/(q**(-10\/7)*q)))**(1\/10) assuming q is positive.\nAnswer: q**(93\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 182, -104, -139.\nAnswer: -139, -104, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/425, 12, -6\/11, 2\/3 in decreasing order.\nAnswer: 12, 2\/3, 1\/425, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes before 8:34 PM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -120 - 331?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0.68, 0.1, 0, 32, 2\/15 in decreasing order.\nAnswer: 32, 0.68, 2\/15, 0.1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 91 = 5*p - 18*p. Let w(i) = 4*i + 1. Let s(m) = -9*m - 2. Let h(u) = -2*s(u) - 5*w(u). What is the tens digit of h(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/50*((-4)\/(-14))\/((-84)\/(-147)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 13 + 6 = 0. Let x = a + -15. Suppose 88 = -x*j + 8*j. Does 8 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (-3 + 21)\/(6\/4) and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55542?\nAnswer: 2, 3, 9257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 398.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -68*o**3 - o**2 - o + 1. Let r be g(1). Let t = 16 - 12. What is the units digit of (t\/12)\/((-1)\/r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -137, -301, -479, -677, -901, -1157, -1451?\nAnswer: -1789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 18588 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 301*x = -2032 - 242 - 2843 for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.188838 rounded to 2 decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**2 - r + 2. Let y be p(-2). Suppose -3*q + 41 - 5 = y. Calculate the greatest common factor of 30 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13928125 divided by -1.\nAnswer: -13928125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 7*k - 3*k - k. Let t(j) be the second derivative of 0*j**2 + 5*j + 0*j**3 + 2 - 5\/6*j**4. What is t(q(g))?\nAnswer: -90*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -154*o**2. Let r(z) = 4*z. Calculate g(r(a)).\nAnswer: -2464*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 187 - 189 - 17*a - 4*a as d*a + t and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -337097.526 rounded to the nearest one hundred?\nAnswer: -337100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -30*w**3 - 4270218*w + 4270218*w - 1 - 1.\nAnswer: -30*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 2*d - 24 = 0, 4*d = 57*c - 52*c - 56 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 96 - (-4 + 72) - 71\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(sqrt(171) - sqrt(171)*1) + -6*sqrt(171)*-5 + sqrt(171))\/(5*sqrt(576) - sqrt(576) - sqrt(72)\/sqrt(8)*-4).\nAnswer: 31*sqrt(19)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 11390 - -10c?\nAnswer: 1149c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-k - k + 6*k)*(-2 + 0 + 1)*(5*k**3 + 36 - 21 - 14).\nAnswer: -20*k**4 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2.887777 micrograms in nanograms?\nAnswer: 2887.777","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = 6 + a + a + 4. Let l be t(-5). Suppose 5*n - 34 = -2*f, -2*f + n - 4 + 26 = l. Calculate the remainder when 44 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -3505*l - 7010. Determine w(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + j + 9 = -3*y, -4*j + 3*y = -15. Let q be ((-6)\/(-9))\/(2\/6 - 1). Suppose -15 + 5 = 5*n. Put q, n, j in ascending order.\nAnswer: n, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - -28 - 2\/6*(20 - -4).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 + 22 = i. Let t be i*(-3 - (-12)\/8). Suppose t*p = 2285 + 232. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (8 + -22)\/(-2) + 676 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -58 - -103. Suppose -3*r + 2*m = 5*m + k, 2 = -2*m. Let u(j) = 2*j**2 + 28*j + 3. Let a be u(r). Solve -a*o = -2 - 4 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = 32*w**3 - 21*w**2. Let b(v) = v**3. Let p(t) = 6*b(t) - f(t). Find the third derivative of p(i) wrt i.\nAnswer: -156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -10, -28, -58, -106, -178, -280, -418?\nAnswer: -598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 6*d + 9 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q - 3 + 3)*(-113*q + 86*q + 62*q).\nAnswer: -35*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 107449749 and 95510888.\nAnswer: 859597992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 209 is divided by 54?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2*u - 2*u + u**2)*(0*u - u + 3*u) - 868*u**3 - 398 + 415*u**3 + 448*u**3)*(1 + 2 - 4 + (3 - 3 - 2)*(-1 - 4 + 2)).\nAnswer: -15*u**3 - 1990","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 19 - 1 = 0. Let d(b) = -b**2 + 17. Let k be d(v). Solve 0 = -4*j + 3*a - 5, -a = -2*j - 0*a - k for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} {"text":"Question: Convert 2 (base 12) to base 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -0.535 less than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 9746673 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 4 = -0. Let s = 1 - i. Suppose -37 = -s*f + 4*w, 3*f - 2*w - 12 = -3*w. Solve 3*p + 4 + f = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -6478*i. Let u(r) = r. Determine u(c(k)).\nAnswer: -6478*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put together 6562 and -0.5.\nAnswer: 6561.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 115 (b) 40 (c) 0 (d) -0.5 (e) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**3 - 22*a**2 - 4504*a - 56. Let x be f(-57). Determine y, given that 10\/3*y**3 - 10\/3*y - y**4 + 0*y**2 + x = 0.\nAnswer: -1, 1\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 106 - -4?\nAnswer: 10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 2 - f - 3*f - 3 + 3*f. Let i be v(-2). Let q be (-3)\/i - 168\/(-8). Solve 5*a - 21 = -h, -2*h + 2*a = -0*h + q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16218297\/37 greater than 438331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(19)*-2*-2*-2 - ((sqrt(1539)*-3)**2 - 3*sqrt(684)).\nAnswer: -13851 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 6 + 2)*(-2*h**2 + 3*h**2 + 2*h**2).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 205\/2*(2726\/(-145))\/(-47)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) = -61 - 5*a**2 - 5*a + a**2 + 3*a**2 + 14*a + 12*a. Determine c(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l**5\/13 - 1136734*l**4\/13 + 2273474*l**3\/13 - 1136738*l**2\/13 = 0. Calculate l.\nAnswer: -568369, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w + 24 = -66. Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be -5 + 4 - 0\/1. Let w(p) = 5*p**3 + 3*p**2 + p. Let b(z) = z**3 - z**2 + z. Let f(a) = q*w(a) + b(a). What is the third derivative of f(u) wrt u?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 + 32 + -41 + -2 + (5 - 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 - (4 - 1 - (1 + 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = 31*t**3 - 6*t**2 + 9*t. What is the hundreds digit of m(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 1535755, 1535754, 1535753?\n\"Answer: -o + 1535756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 8*1 - (-8 + 14 + 13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in seven quarters of a hour?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-9)\/(-4) + (-225)\/(-300). Solve 0 = l + 3, u*l + 17 = -3*a - a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in 11\/5, 5, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -559, -1\/3, -5, -2\/9, 10.7?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -6*s + s + 4*s + 32. Let c be g(17). Solve 0 = -4*p - 3 + c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) be the second derivative of -3*v - 3\/4*v**4 + 1\/20*v**5 + 4\/3*v**3 + 0 + 5\/2*v**2. List the prime factors of k(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 240.3 < 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the third derivative of 0*h**3 + 41\/12*h**4 + 0*h + 66*h**2 + 0 + 1\/30*h**5. Solve c(g) = 0 for g.\nAnswer: -41, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5475 is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f = -168\/3167 - 1259787\/430712. Let p = 40\/17 + f. What is the common denominator of -101\/14 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) be the first derivative of -5*z**7\/42 + 2*z**6\/3 - 3*z**5\/2 + 5*z**4\/3 - 5*z**3\/6 - 10*z + 15. Let m(f) be the first derivative of i(f). Factor m(x).\nAnswer: -5*x*(x - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1*(-8)\/(-24)*0\/(-5). Sort 5, i, -31.\nAnswer: -31, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13813*r + 302466*r + 26867*r.\nAnswer: 343146*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 45*u**5 - 510*u**4 + 185*u**3 + 3900*u**2 + 2460*u + 400 = 0.\nAnswer: -2, -1\/3, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 279 and 47461?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 4*i, -90 = -2*r + 2*i - 28. Suppose 6*k + r = k. What is the tens digit of k\/(-1*(-8)\/(-44))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 776.33 times 4\nAnswer: 3105.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000049609 to 6 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 8, -4, -22, -46?\n\"Answer: -3*p**2 - 3*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = -14886 + 446471\/30. What is the common denominator of -81\/10 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -28 + 25. Let m(t) = -t**3 - 2*t**2 - 3. What is m(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*w + 2*w + 6 = 0. Suppose 35 + w = 6*t. Suppose -t*y = -163 - 41. What is the remainder when 133 is divided by y?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5400) - (sqrt(5400) - 4*sqrt(5400)))\/(-4*sqrt(3)*5*-3)*-1.\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -2498478 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6*(-1)\/4)\/((-11)\/22).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 15497 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: Express 133*o**2 - 137*o**2 + o + 0*o in the form s + i*o + q*o**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand a + 0*a - 2*a**2 + a**2 + (-2*a - a + 2*a + (1 + 5 - 4)*(-5 - 4*a + 5) - 2 + 2 - 2*a)*(-1860 + 62*a + 1860).\nAnswer: -683*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 853*t**2. Let m(s) = -1843 + 5538 - 4*s**2 - 1849 - 1846. Calculate m(h(z)).\nAnswer: -2910436*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8 or -861\/121?\nAnswer: -861\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*((sqrt(637) - ((sqrt(637) - -1*sqrt(637)) + 5))**2 - (5 + (sqrt(637) - (sqrt(637) + -2))))*-5 + -4 + -5 + 5.\nAnswer: 2100*sqrt(13) + 19646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2745 = -7*o + 342. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59474697.\nAnswer: 3, 19824899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pwso when four letters picked without replacement from oswffpff.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 5 (base 13) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 7) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -7*r**2 + 4*r - 5. Suppose 3*b = -5*q - 34, -b - b - 31 = 5*q. Let d(c) = -3*c**2 + 2*c - 2. What is q*d(p) + 2*o(p)?\nAnswer: p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) be the first derivative of l**4\/4 + 2*l**3 - 5*l**2\/2 + 10*l + 16. Let n be u(-7). Sort n, 4, -2, 3.\nAnswer: n, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 124214 + -110?\nAnswer: 124104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*g**3\/11 - 4*g**2 - 312*g\/11 - 720\/11 = 0.\nAnswer: -10, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w*w**26)**(-2\/29)*w**(2\/5)*w*w*w\/(w\/(w\/(w\/w**(2\/3)))*w)*w assuming w is positive.\nAnswer: w**(494\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 600 and 6480?\nAnswer: 32400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b - 1. Let x(f) be the second derivative of -f**3\/3 - f**2 + 6*f. Suppose d = -0*d - 4. Let c = -23 - -32. Determine c*i(z) + d*x(z).\nAnswer: -z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**3 - 2*t**4 - 20*t**2 - 30*t**2 + 52*t**2 + 2*t**5.\nAnswer: 2*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = f**3 + 2*f**2 - 2*f - 6. Calculate r(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 2*f**2 - 4*f - 47. Suppose -12 = 3*m + 3. Let q be s(m). Find the first derivative of 10*o**2 - q + 9*o**2 + 18*o**2 wrt o.\nAnswer: 74*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) = 6 + 2*m**2 - 5*m - 4*m + 7*m. Is j(4) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3596)\/(-6)*(40\/4 - 7). Suppose 396 = -5*h + 4*t + m, -3*t = 4*h - 1134. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -21202210110202 (base 3) to base 13.\nAnswer: -b17742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -2413 + 2434. Is m > 19\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1044?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78521764?\nAnswer: 2, 2677, 7333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = -555.589 - -559.9. Let f = i - 0.311. Let u = -0.01 - 1.99. What is the smallest value in 2, f, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 21 = z + g, 3*z = -5*g + 49. Let u(w) = 2*w - 12. Let i be u(z). Suppose 8 = -i*m - 4, 2*m = 3*b - 6. Solve -2*h - 8 + 2 = b for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1464, 1458, 1450, 1440, 1428, 1414?\n\"Answer: -w**2 - 3*w + 1468","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*o - 51 + 83 = -3*m + 40, 4*m = -o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1*1)\/(45\/135). Let g be 5*-1 + 0\/(i - 2). Let w(c) be the first derivative of -c**3\/3 - 5*c**2\/2 - 4*c + 1. Calculate w(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**2 + 14*p + 1. Let w be v(13). Suppose t - 16 = -5*y + w, 5*t - 40 = -3*y. Solve -4*q - 3*o + y = -15, -q + 5*o = 18 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 s when two letters picked without replacement from {s: 2, i: 3, d: 1, q: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*1\/(-3)*0. Let i(s) = -s + 4. Let x be i(z). Solve -f = f + 4*l - 26, -21 = -f - x*l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 110*i**3 + 458*i**3 - 691*i**3.\nAnswer: -123*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w + 6 = 4*i, i - 5*w = -w - 21 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1314, 1367, 1458, 1593, 1778, 2019, 2322?\nAnswer: 2693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 132003123203 (base 4) to base 5\nAnswer: 4004101441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1548 and 1008.\nAnswer: 43344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-154)\/(-33)*(20\/(-7245))\/((-2)\/27).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -3*l**3 - 16*l**2 - 9*l - 10. Let m(n) = -n**3 - 5*n**2 - 3*n - 3. Let o(f) = -2*i(f) + 7*m(f). Does 6 divide o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 60\/9 - 19\/(-57)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 92, -3, 0 in decreasing order.\nAnswer: 92, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -y + 5*y - 111 + 4*y**2 + 111.\nAnswer: 4*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 26*s**2 + 9*s + 31. Let x(c) = -3*c**2 - c - 4. Suppose 6*i = 13*i + 42. Let f(a) = i*r(a) - 51*x(a). Find u such that f(u) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 113.8 times -19699?\nAnswer: -2241746.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 - 11041112223?\nAnswer: -11041112213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 58 = 34. Let r = -22 + c. Suppose -5*g + 3*o = -0*o - 96, -8 = 4*o. What is the lowest common multiple of g and r?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 52\/12 - (-1)\/(-3). Suppose j*s + g = -2*g + 44, 2*s = 4*g. Suppose y + 39*u = 41*u + 14, 35 = y + 5*u. What is the smallest common multiple of s and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -640 - -348. Let z = -292.00801 - c. What is z rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: ((22\/(-55))\/((-22)\/(-10)))\/(-1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 194\/7 - 28. Let n be 0 + (-8)\/20*-2. Let w = n - 1. Which is the third smallest value? (a) w (b) s (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4*3\/6)\/((-3)\/(-54)). Let q be 1\/(-4) + (-9)\/z. Factor q + 1\/4*h - 1\/4*h**2.\nAnswer: -h*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 6 + -1 + -2 - 1 - 4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 - -5. Let h be (n\/2)\/(-4)*-4. Suppose -5*v + 247 - 11 = -u, 232 = 5*v - h*u. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 63, 24, -15, -54, -93, -132?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a = -w - 24 - 10, -w + 1 = 0. Let y be 9\/6*(-10)\/(-3). Let h = a - y. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q**(-2\/33)\/q))**(1\/37)\/(((q\/(q*q*q\/(q\/q**(1\/15)*q)*q))\/q)\/(q**(12\/5)\/q)) assuming q is positive.\nAnswer: q**(7168\/2035)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 3888 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -5*d - 4*n, -3*n - 8 - 8 = -d. Suppose 0 = -2*o - 2 + d. Let s = -553 + 553. Which is the second biggest value? (a) s (b) -2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = k. Let w(b) = -2*b + 34. Suppose -15 = 5*y - 6*c + 4*c, -5*c + 25 = 0. Let o(i) = -1. Let x(g) = y*w(g) - 6*o(g). Determine r(x(j)).\nAnswer: 2*j - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 62245783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be 0 - -16 - (-41)\/(-164)*8\/(-2). Solve 175 + z = 32*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjjjjnjjjjjjj. Give prob of picking 2 j.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 17\/19 (b) 3 (c) -2.6 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 392, 390, 388?\nAnswer: 386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1\/3 - -5\/6. Is k greater than or equal to -4\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.5, 0.3, 2\/13, 0.47, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -m**2 - 2 - 1 + 4*m**3 - 5*m**3 + 3*m**2 to the form r*m**3 + y*m + p + t*m**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum -160713 and 0.54.\nAnswer: -160712.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 3*k + 2 + 1 - 2 - k. Let q be f(4). Let w = 46 - 19. What is the greatest common factor of w and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*k + 51 + 1. Let n = k + 11. Is -3 less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 207106909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12400 divided by -62.\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 58\/15 + -1016\/255. Which is the closest to v? (a) 3 (b) -3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(12) + sqrt(84)\/sqrt(7))*-2 + sqrt(12))\/sqrt(6) + 3*(sqrt(512) + sqrt(32)) + 0)**2.\nAnswer: 6498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*w**2 + 0*w**2 - w**2 + (0 - 3 + 5)*(-2*w**2 + 0*w**2 + 4*w**2) - 3*w**2 - 2*w**2 + 4*w**2 + (-1 + 1 - 3)*(-1 + 1 - w)*(-4*w + 2 - 2)*(94 - 510 + 31).\nAnswer: 4624*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -73, -72, -71, -70?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 160 + -155. Let x(v) = 3*v - 8. Let t be x(4). Suppose -2*o = -t*o - y + 7, 5*y - 25 = -5*o. Solve 0 = 4*n + 20, r*f + o*n - 4*n = 35 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dbdd when four letters picked without replacement from bdbbddd?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -36? (a) 2.577 (b) -1 (c) -0.3 (d) 1 (e) 2\/7 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w + 6 - 3 = 0. Let p(v) = 8*v**3 - 2*v**2 + 6*v - 6. Let k(c) = -c**3 + c**2 - c + 1. Determine w*p(j) - 6*k(j).\nAnswer: -2*j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*s - 58 = -2*w - 35 - 13 - 34, -2*w = 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (w - w - w)*(220*w**4 + 229*w**4 - 438*w**4).\nAnswer: -11*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) be the first derivative of t**6\/3 + 188*t**3\/3 + 104*t**2 - t - 149. What is the second derivative of l(i) wrt i?\nAnswer: 40*i**3 + 376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5814294977?\nAnswer: 101, 57567277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -w + 5. Let l(i) = 3. Let z(y) = -3*g(y) + 5*l(y). Let r(f) = -f. Calculate r(z(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -59\/7974 and 19\/18?\nAnswer: 7974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -4, 10, 24, 38?\n\"Answer: 14*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 7293?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2068*p + 2146*p - 1150656 = 0. What are the prime factors of p?\nAnswer: 2, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 187966822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -42 divided by -4\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/g**(-7))\/g**(4\/3))**47 assuming g is positive.\nAnswer: g**(940\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.24 + 0.04. Let b = 4.8 - w. Let s = b + -11.7. Round s to zero dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.02124 - -0.021. Round x to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000675930999 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*b + 10 - 30 = 0. Let o(s) = 6*s**3 - s**2 + 4*s - 6. Let h be o(b). Suppose -4*v = -h - 274. Calculate the remainder when v is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 32349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1\/(-1 + (-7)\/(-6)). Suppose -f = -r + 5, 0 = 3*f - 2*f - 5*r + 25. Solve f = -4*w + w - s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1\/5063 + 10111\/75945. Which is the third biggest value? (a) 1\/7 (b) 98 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -497 + 12423\/25. Which is bigger: 0 or k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the third derivative of -j**5\/120 - 3*j**4\/8 + 23*j**3\/2 + 56*j**2. Let m(y) be the first derivative of o(y). What is m(0)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = r - 3*r - 4. Let k = 10 - r. Calculate the lowest common multiple of (36\/(-16))\/(1\/(-8)) and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (10 - 5 - (7 - 8)) + (2 - 1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -212 + 2070 - 1858 - 42*c**2.\nAnswer: -42*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -0.273 times -615\nAnswer: 167.895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 90 and 648.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3498*m**4 + 39*m**2 + 23*m.\nAnswer: 83952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:55 AM and 8:58 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 670 minutes before 1:59 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 9527 divided by -1361?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*(w**0*w)\/w)**(2\/43)*((w\/w**(2\/5))\/w)\/(w\/w**(2\/9)))\/(w*w**(-5\/4)*w\/w**(-1\/15)*w*w*w*w\/(w*w*w**(-2\/3))*w**(-5)) assuming w is positive.\nAnswer: w**(2983\/7740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -103\/258258 and 127\/7280.\nAnswer: 10330320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = -18*j**2 - 3*j - 2. Let m be d(-2). Let v = -36 - -48. Let b be -3*(-4 - m\/v). Put 3, b, 2, 0 in descending order.\nAnswer: 3, 2, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 941 + -4?\nAnswer: 93c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -310\/1911 - -18\/49. Is b smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 135 + -477. Let t be -1*(4 - (5 - h)). Calculate the highest common factor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z**2 - 7*z - 12. Suppose -j + 6 + 3 = 0. Let l be b(j). What is the third derivative of 9*g**6 - l*g**2 - 3*g**6 + 7*g**2 wrt g?\nAnswer: 720*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**2 - 70*t - 205. What is m(-67)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 2, l: 3, f: 1, w: 1}. Give prob of picking 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c = 581281\/30196 + -2\/7549. What is the common denominator of 488\/60*(-5)\/(-4) and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 + -36 + -6 - (-5 + 4 + -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-175*l + 9*l - 39*l)*(-5*l**2 + 0*l**2 - l**2).\nAnswer: 1230*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -332*i*q**2 - 422*q**2 + 2 wrt i?\nAnswer: -332*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1537*o**5 - o**4 + 4082*o**2 wrt o?\nAnswer: -92220*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**3 + 2 - 1 + 61*t**3. Let f be d(1). Suppose -b = 4*l - 21 - 36, -5*l = 4*b - f. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2100041 (base 5) in base 12?\nAnswer: -17aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1 - (-15)\/(-9))*2\/(-8). Let k = -43 + 42.7. Which is the closest to 2? (a) -3 (b) h (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (28 + 2 + 49)*(-i + i + i) to the form m + r*i and give r.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 68*h - 12*h + 3*h**2 - 18*h + 72*h + 25*h.\nAnswer: 3*h**2 + 135*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 157, 224, 291?\n\"Answer: 67*c + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/34*(17 - 15)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h = -u + 3096 + 366, 2*h = -5*u + 17310. What are the prime factors of u?\nAnswer: 2, 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 4, -5, -1\/8, 0.5, -12.817?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y + 72*y**3 - 84*y**3 + 3*y.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be 132\/20 - 6\/10. Let n = i + -7. Let h be 4\/12 + 2\/(-18). What is the nearest to h in -0.4, n, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = -3*y - 70 - 29, -3*y - 97 = -5*p. Let k be 4\/(-2)*31550\/22. Let l = k - -2866. Find the common denominator of y and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 77124*u - 1771 = 77047*u for u.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of 18139576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Do -584 and 3954 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -33*a**5 - 172698*a**4 - 3440563*a**2 wrt a?\nAnswer: -1980*a**2 - 4144752*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 12198 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) 396749 (c) 1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 35, -3, -67, -157, -273, -415, -583?\n\"Answer: -13*w**2 + w + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -13586 = -228*c - 8114 for c.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let k(n) = 14 - 23 - 45 - 14 + 18*n - n**2 - 10. Let a be k(9). Solve f - a = 4*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*k + 69*k + 458*k**2 - 43*k + 456*k**2.\nAnswer: 914*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in -3, -2, -1, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(156)\/(-1*sqrt(6)))\/((sqrt(24) - (sqrt(600) - sqrt(24)))\/sqrt(12)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 519?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 15036 and 4296.\nAnswer: 30072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 138*q - 40 = 133*q. Let b be q\/(-68) - 276\/(-34). Let j(l) = -l**2 + 7*l + 27. What is the remainder when j(b) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -12? (a) 1\/5 (b) -2\/5 (c) -0.0592675\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 169*-24\nAnswer: -4056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -119 + 31 + 256*d**3 + 48 + 42 - 2*d.\nAnswer: 256*d**3 - 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -19 + 8 + 31 - (6 + (0 - -1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -2 + 10667 + (-79 - -93) is divided by 89?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25426 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: Two letters picked without replacement from {i: 2, v: 6, n: 1, c: 5, s: 3}. What is prob of picking 1 i and 1 v?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -f**3 + f**3 - 4*f**4 + (3 - 3 - 2*f**2)*(-3*f**2 - 14*f**2 + 7*f**2) + 31*f**4 - 236*f + 236*f.\nAnswer: 47*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 198*m**6 - 47*m**3 + 197858*m**2.\nAnswer: 23760*m**3 - 282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (6\/(-5))\/((-2)\/5). Suppose c*t - 13 = 4*t - 3*l, 3*l - 23 = -4*t. Let -8*d**3 + 3*d**4 - d**3 - 3*d + 2*d**2 + 7*d**t = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.4749978 to four dps.\nAnswer: 0.475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -3642*f - 6631*f + 238080 = -1331861 + 162540 for f.\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/220632 and 169\/117450.\nAnswer: 148926600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -151\/2046 and -131\/132?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 22*a - 2 + 34*a - a**2 to p*a + j*a**2 + f and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-3060)\/225)\/((-14)\/70). Solve -c = 1211*x - 1194*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 209917.4 litres?\nAnswer: 209917400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w**2. Let t(h) = -3*h + 3*h + 22*h**2 - 18*h**2. What is t(p(r))?\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express -82*p**2 + 66*p - 34*p + 2 - 74*p**2 - 35*p in the form b*p**2 + s*p + f and give b.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 8 less than -1\/203533105?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 22\/275*-5*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -1314 - 694. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -35\/20693 or 0?\nAnswer: -35\/20693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -236*v = -203*v - 66. Solve 0 = -v*z + 29 - 19 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1637 - 2753. Let h = -990 - p. Calculate the greatest common divisor of 105 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 6, d: 12}. Give prob of sequence qdq.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3*h + 4*h + 5*h + (9 + 5*h - 9)*(1 - 3 - 2))*(-24 - 18 + 63) to k + n*h and give n.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2 - 0) + 3\/(-1). Let b = v - -19. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 58*x - 113 - 102 = -41 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pcc when three letters picked without replacement from {p: 8, c: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4274*k**2 + 1090*k**2 + 1095*k**2 + 1087*k**2 + 991*k**2.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 3 = 3*j, -19 = -5*j - 0*j + 3*h. Solve 2*s - 9 = 5*m, -j*s + 4*s = 3*m + 3 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(-2\/19)*k)\/(k*k*k*(k*k*k**(-2\/3)*k)\/k))**(2\/95))**(-1) assuming k is positive.\nAnswer: k**(278\/5415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2\/(1*(-4 + 6)). Let m(t) = 2*t**2 - 2*t + 2. What is the units digit of m(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*d**5 - 40*d**3 + 42*d**3 - d**5 + (-216*d - 8762 + 8762)*(0 + 0 - 1)*(5 + d**4 - 5).\nAnswer: 212*d**5 + 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 1230 divide 14373601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 21315 (base 6) in base 8?\nAnswer: 5557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-2*sqrt(2)*-1 + sqrt(2) + sqrt(10)\/(sqrt(5) - -1*sqrt(5)) + sqrt(800) + 2)**2.\nAnswer: -11085\/2 - 470*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 62117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 29*p - 32*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*u = 3*d - 12, 60*d - 9 = 64*d - u for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of b**3*p**2 - 10*b**3*u**3 - p**3*u + 2*p**3 - 155*p - 16*u**4 wrt u.\nAnswer: -30*b**3*u**2 - p**3 - 64*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify c*(((c\/(c\/(c*c*c*c**(-1\/7)*c)))\/c)\/c*c*c)\/c*c**(2\/59)*c*c*c*c\/(c\/(c*c\/c**(-1\/6)*c)*c)*c**2 assuming c is positive.\nAnswer: c**(27401\/2478)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.7 + 0.3. Let o be (-4)\/(-2) - 17\/(4 - 3). Let j be (384\/(-100) - -4)\/((-6)\/o). Sort -2, 0.5, t, j in ascending order.\nAnswer: -2, t, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = n**2 + n + 1. Let x(q) = 101*q**2 + 3*q - 27. Let c(b) = 2*a(b) - x(b). Let d(y) be the first derivative of c(y). Is d(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 185*o**2 - 5*o. Let p(k) = k**2. Determine r(p(a)).\nAnswer: 185*a**4 - 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -h*i*r**3 + 50*h*i*r**2 - 19288508*h*r**3 - 2*h - 147*i*r**2 - 11*r**2 + 24*r wrt r?\nAnswer: -6*h*i - 115731048*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f = -778 - -777.9254. Round f to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 24034.9 and 2.\nAnswer: 48069.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 519804590*p + 1342113448 wrt p.\nAnswer: 519804590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2078128 and 119892.\nAnswer: 6234384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand 80*g**5 - 93*g**5 - 2*g + 0*g**3 + 2*g**3 + (g**2 + 3*g**4 - g**2)*(-6*g + 3*g + 4*g).\nAnswer: -10*g**5 + 2*g**3 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 44*d - 9 - 51*d - 4 in the form h + z*d and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -p + 15 - 16 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -7? (a) 2\/9 (b) -2 (c) 2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = l**2 + 14*l + 14. Suppose 0 = 2*o + f + 32, 14*f + 76 = -4*o + 18*f. Calculate i(o).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.076*34096\nAnswer: -2591.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1580? (a) -0.1 (b) 4 (c) 0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/((f*f**7\/f)\/f))\/(f\/(f**(2\/7)\/f*f)*f)*(f*f**(-1\/11))\/(f*(f**7*f)\/f))**(-40) assuming f is positive.\nAnswer: f**(42520\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of -j**3\/3 + 4*j**2 - j - 3. Let q be h(4). Round q to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 26729 - 26729 - 4988*f as x + r*f and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((h**(-2\/3))**(-3\/38))**19 assuming h is positive.\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1863 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -47*m - 32 = -39*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 44 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 370 times 10.84?\nAnswer: 4010.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 7, i: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c + 25 - 155. Suppose 0 = -43*g + 42*g + 539. Suppose -243*p = -254*p + g. Calculate the remainder when p is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 513912 times 2.7?\nAnswer: 1387562.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -8*v - 1768*v**2 + 14*v - 6*v - 532*v**2.\nAnswer: -2300*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m + 12 = 3*r, 4*r = 2*m + 9 - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-13\/6)\/c*c*c)\/(c\/(((c*c**22*c)\/c)\/c)))\/((c**(7\/4)*c)\/c)**(2\/129) assuming c is positive.\nAnswer: c**(2684\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 82 + -38. What is the third smallest value in -0.3, 3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -21999 - -13194. Is n\/(-20)*16\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11948941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3717 + 3779. Suppose -8 = -2*f, 7*b - 14 = 2*b - f. Calculate the smallest common multiple of b and d.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*i**3 + 0*i**3 - 7*i**3 + (-44*i + 18*i + 130*i)*(-2*i**2 + 0*i**2 + 0*i**2) to the form f*i**2 + h*i + x + r*i**3 and give r.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -401 - -382. Let q = z + 18.89. What is the nearest to 0.1 in 3, 4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 63122791 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -68*h + 71*h = 237. What is the remainder when 1658 is divided by h?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 65125 * -2.\nAnswer: -130250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 9 = -2*d. Let w = d - 0. Suppose -1 - 5 = -w*t. What is the lowest common multiple of 10 and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-h**2 + 255 - 255)*(6 - 7 + 5*h**2 - 3*h - 6*h**2) to the form b*h**2 + x + r*h + v*h**3 + g*h**4 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 7 - 34 = -5*l, 2*u = -l + 15. Suppose u*g - 1130 = 3*g. Let h be 12\/18 + g\/3. What is the highest common factor of 19 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 11) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 2.427946 centuries?\nAnswer: 0.2427946","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the first derivative of -q**4\/8 + 2*q**3 + 9*q**2\/2 - 10. Let x(k) be the second derivative of r(k). Let t be x(4). Solve t = w + 3 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33 + 287398*o - 574929*o + 287475*o - 33.\nAnswer: -56*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -0.4, 0, -128, 1.1.\nAnswer: -128, -1, -0.4, 0, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k = 5*u, -12 = -3*u - 0*u. Put 21, k, 0 in decreasing order.\nAnswer: 21, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 5:05 AM?\nAnswer: 2:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose j = -2*j, 4*g - 396 = -0*j + j. Is 33 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -h**3 + 8*h**2 + 8*h + 9. Let u be l(9). Solve 26*f - 19*f - 28 = u for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4659 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -6 + 4*j + j**2 + 2*j - 4 + 4. Let b be k(-8). Suppose -5*v = -b, -3*d + 53 = 2*d + 4*v. Calculate the remainder when 16 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*s + s + 5*s)*(87*s - 942*s - 274*s)*(-7*s + 3*s + 3*s).\nAnswer: 2258*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*((-168)\/35 + (-2)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -168, -1348, -4532, -10716, -20896, -36068, -57228, -85372?\n\"Answer: -166*i**3 - 6*i**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3 times -1356?\nAnswer: -406.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-8)*v)\/v**(-13))\/(v**(2\/5))**(2\/5) assuming v is positive.\nAnswer: v**(146\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/(-5 + 54))\/((-2561)\/(-4137)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10612853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 4*i = -65. Suppose 9*r - i = -2. Is (-11)\/3*(r - 10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 4090282048 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -3\/4, -1, 2\/23, 55.8, -1\/3, 0.8, -0.21?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 192594.\nAnswer: 2, 3, 32099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -942556, -3770255, -8483086, -15081049, -23564144, -33932371, -46185730?\nAnswer: -60324221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 2*x**2 - 3*x - 33. Let m be r(-7). Let l = m + -91. What is the fourth smallest value in 4, l, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = v**2 - 2*v - 12. Let p be u(5). Which is the third biggest value? (a) 2 (b) p (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 - -9. Let u = k + -13.99999982. What is u rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4332 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 231882 (base 9) to base 10\nAnswer: 139232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1005 + 1004. Let r = 118\/9 + -820\/63. Put -11, r, m in decreasing order.\nAnswer: r, m, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4564)\/(-238) - (28 + -9)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put -300, 9, 5 in decreasing order.\nAnswer: 9, 5, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-12 + 75)*680\/28. What is the common denominator of (17\/c)\/((-1)\/169) and 65\/99?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-16)\/(-2)*97\/582. What is the closest to 275 in b, 0.03, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of ((-12)\/(-3) - -9)*3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 + 10 = 3*k. Calculate the remainder when 21 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5407757039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 77360907.\nAnswer: 3, 13, 127, 15619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -51, -5, 5, -21 in decreasing order.\nAnswer: 5, 4, -5, -21, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*h + 46709 + 10628. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from hoiqihjokhkj?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 61*b - 156. Give m(29).\nAnswer: 1613","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 168227, 665926, 1495425, 2656724, 4149823?\n\"Answer: 165900*j**2 - j + 2328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 579203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u + 0*c - 252 = 4*c, 0 = -4*c - 4. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (65*n**3 - 38*n**3 + 15*n**3)*(4*n**2 + 0*n**2 - n**2) - 4*n**5 + 2*n**5 + 4*n**5.\nAnswer: 128*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4.6 + -8.7. Let v = r - -4.10000027. What is v rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 21059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -85242987.2 to the nearest 1000.\nAnswer: -85243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 292085 is divided by 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -355? (a) 5 (b) 0 (c) 44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2287298 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1063502151?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (-24 - 11 - -34) + (0 - -1) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence is when two letters picked without replacement from qssvssqsvjsisijvssis.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*i**2*n + 91*i**2*x**3 + 9*i*x**3 + 221*n*x**3 with respect to n.\nAnswer: -2*i**2 + 221*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/18 + (-26355)\/(-1506).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes after 6:56 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine halves of a decade in years?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) be the second derivative of 6*v**3 + 132*v. Let t(s) = 6*s**2. Determine t(q(u)).\nAnswer: 7776*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -52\/1363 - -18\/47. Which is smaller: s or 4\/19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -20*k + 29. Give y(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 40854 is divided by 159.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i + 2*i**2 + 6*i - 7*i. Let t(v) = 2*v. What is t(r(x))?\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ssmmmmmmmscssmmmm. Give prob of sequence sm.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 121*v. Let l(h) = -295734*h**2. Give l(b(n)).\nAnswer: -4329841494*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + -1 + -1*-1*sqrt(245) + 0 + 3)*-2)**2.\nAnswer: 280*sqrt(5) + 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 150\/9 + 4\/(-6). Let z be 6\/27 - q\/(-9). Suppose w + i - 85 = -i, -4*i = -z*w + 146. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -974, -1041, -1212, -1541, -2082?\nAnswer: -2889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1127*c**5*m + 310*c*m - c - 7*m wrt c?\nAnswer: 22540*c**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 42603.\nAnswer: 3, 11, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Convert 432 (base 11) to base 4.\nAnswer: 20013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 466 a factor of 1596982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 582.7325mm?\nAnswer: 58.27325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (8 - 8 - 2*u)*(u**2 + 3*u**2 - 6*u**2) + (15972*u - 15972*u + 413*u**2)*(3 - 3 + 4*u).\nAnswer: 1656*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4592 + -3128. Let k = 631 + y. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*s - 131*s + 32*s + 63*s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -958979 or 0.2?\nAnswer: -958979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-22*b + 8*b + 9*b)*(-34*b - 9*b - 95*b)*(-5 + 4 - 1).\nAnswer: -1380*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-37 + (-2900)\/(-75))\/((-2)\/((-12)\/2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of 15*a**2 + 25*a + 80 + 7\/4*a**3 + 1\/16*a**4. Factor d(r).\nAnswer: (r + 1)*(r + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -8*m**2 + 2*m - 3. Let z be (3\/(-2))\/(3\/(-4)). Let t be s(z). Let y = t + 108. What is the highest common factor of y and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 7*p = -2*p + 3, 3*v - 16 = -4*p. Suppose 2*s - r - 12 = -5, 5*s = -v*r + 24. Suppose -72 = -5*x + s*m + 24, -2*x = -m - 39. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p, 1 y, and 1 n when four letters picked without replacement from {p: 7, n: 10, y: 1}?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = 4*z - t + 92, 4*z + 125 = -t. Let m = z + 18. Let k = 25 - m. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 46136 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*h - 3*h**4 + 2*h + 0*h + (0*h**2 + 0*h**2 + h**2)*(-2*h**2 - 2*h**2 + 6*h**2) + 2*h**4 - 3*h**4 + 3*h**4 - 3*h**4 + 9*h**4 + 2*h**4.\nAnswer: 9*h**4 + 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 5 + 1 + (-1 + 0 - 1)*(0 - 4 + 5) - 2 - 4 + 4 - 4 + 3 - 3)*(-560 + 560 + 77*o) to z + s*o and give s.\nAnswer: -770","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -20, -893 in increasing order.\nAnswer: -893, -20, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 899849?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = -3*f - 6. Let c be p(-4). Is c not equal to 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 21*w**2 + 43*w + 43. Let y be p(-1). Suppose y*r - s = 24*r - 5339, -3565 = -2*r + 5*s. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v*v*v\/(v\/(v\/v**(-2\/17)))*v*v)\/(v**(-6)\/v))\/(v**(1\/3))**(2\/13) assuming v is positive.\nAnswer: v**(8663\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/((-225)\/(-10))*-3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = 4*k + l, -l = -6*l - 5. Suppose 3*s + 6 = 4*n, 0 = k*n - 4*s + 5 - 13. Suppose 18 = z - 5*y - 17, n = -z + 2*y + 41. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -1543.3 and -46.8164123.\nAnswer: -1590.1164123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 7138 - 49965\/7. Suppose 3*l = 3*p - 18, -2*l = -7*l - 25. What is the nearest to k in 5\/3, p, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 19 and 9410.\nAnswer: 9429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Subtract 3573 from -1270417.502.\nAnswer: -1273990.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-106)\/5*430\/(-8). Let m = q + -1112. What is the common denominator of m and 93\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 6) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 102 = 48. What is the smallest common multiple of 12 and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2 - 26861*m**2 + 2.\nAnswer: -26861*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3 - (-2*4\/8)\/1. Let h be (-40)\/25*10\/j. Let t = h + 0. Is t less than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -6*j**2 - j + 4. Let q be f(-3). Let g(n) = -3*n + 25. Let p be g(-8). Let w = q + p. Solve 2*t + 1 = c, -w*t - 5 = 3*t for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 925, 3706, 8339, 14824, 23161, 33350, 45391?\n\"Answer: 926*c**2 + 3*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-1\/3)\/p*p*(p*(p\/(p\/(p**11*p)*p))\/p*p*p)\/p*p*(p**(-1\/3))**6 assuming p is positive.\nAnswer: p**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47465 is divided by 546.\nAnswer: 509","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 69145048 and 1972?\nAnswer: 1175465816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 119970 divided by 129.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-4)\/8*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine f, given that -f**2\/2 + 132*f - 1295\/2 = 0.\nAnswer: 5, 259","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**3*(t\/t**(-1\/4))\/t*t*t*t**(-2\/7)\/t*t**(-3\/4))\/((t*t\/t**2*t)**24\/((t**5*t)\/(t\/(t*t**(-4))))) assuming t is positive.\nAnswer: t**(-263\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out -16599023 - -4.\nAnswer: -16599019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 9632 (base 10) in base 3?\nAnswer: 111012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -7 + -27.8. Let i = t + 35. What is the closest to -2\/5 in -0.1, 3\/8, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*q**5 + q**4 - q**4 - 173*q**3 - q**5 + 173*q**3 + (-q**2 - 2*q**3 + q**2)*(0*q**2 - 2*q**2 + q**2) + 2*q**5 - 3*q**5 - q**5.\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -555\/2*s + 450 - 33\/2*s**3 - 1\/2*s**4 - 311\/2*s**2.\nAnswer: -(s - 1)*(s + 4)*(s + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -t**2 - 13*t + 35. Calculate d(-11).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.8 - 0.2. Let l = 0.066 + -0.01. Let q = 1.944 + l. Which is the closest to i? (a) -4\/3 (b) -0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1525932 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h + 5*u + 9 - 29, 2*u - 8 = -h. What is the units digit of 145 - 0 - (-1 - (1 + h))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of 0 - 29*x - 31\/6*x**3 + 0*x**2. Let a(d) = -4*d. What is m(a(t))?\nAnswer: 124*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**2 - 4*q. Calculate y(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 543, 544, 545?\n\"Answer: r + 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 30489 and 10163.\nAnswer: 30489","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*y + 3*p - 46, 3*y + 742 + 742 - 1526 = -3*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*z + 3*z - 6*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4158 and 63.\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 5*i + 1 = -5*c, -3*i = 2*c - 8. Suppose 0 = i*w - 6. Let h be (2\/(-3))\/(10\/75). Sort -3, h, w in increasing order.\nAnswer: h, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -195, -526, -857?\nAnswer: -1188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = p**2 - 7*p + 36. Let f be c(4). Suppose -7*x + 372 = f*x. Calculate the smallest common multiple of x and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c**(2\/5)\/c))\/(c*c**(18\/5)) assuming c is positive.\nAnswer: c**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 790 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: Two letters picked without replacement from {b: 2, t: 7, u: 4}. Give prob of sequence tt.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 1 = -5. Let y(b) = b**3 - 7*b**2 + 5*b - 2. Determine y(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*l**3 - 5*l**3 - 4*l**3 - 792 + l**3.\nAnswer: -6*l**3 - 792","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find q such that -2*q**3\/5 + 52*q**2 + 262*q\/5 = 0.\nAnswer: -1, 0, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -42 - -29c?\nAnswer: 25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 59 divide 79830776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, -4.8, -3, -1\/2, -0.2 in increasing order.\nAnswer: -4.8, -3, -1\/2, -2\/9, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gff when three letters picked without replacement from {f: 6, g: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(400) + sqrt(400)*1)*5*-1)\/(1*sqrt(512) - (sqrt(24)*-1)\/sqrt(3)).\nAnswer: -50*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*j + 2*j - 86. Suppose 3*p + 64 = p + 3*t, 0 = p - 5*t + 46. Let m = p + 41. Calculate the remainder when j is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(912)\/sqrt(3) + -1 + sqrt(76) - 2*-5*sqrt(931))**2.\nAnswer: -152*sqrt(19) + 109745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = 1031*i - 129. List the prime factors of k(1).\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 11\/2, 1, -117?\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -m - 15. Let k be u(-6). Let r be 0 + (2\/k - 0). Which is the nearest to r? (a) 0 (b) -2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = g**2. Let c(m) be the second derivative of -m**3\/2 + 6*m**2 - 9*m - 2. What is c(s(f))?\nAnswer: -3*f**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o + 4*l = 12, 0 = o - 17*l + 18*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p = -109 - -2546. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 706 - 8576 = 0. What is the common denominator of 2\/11 + v\/(-2464) and (-710)\/(-180) - 2\/6?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -155\/68628 and -37\/10660.\nAnswer: 182893620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 171 and 4313?\nAnswer: 38817","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the third derivative of o**5\/20 - o**4\/8 - o**3\/3 + 6*o**2. What are the prime factors of f(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -42069, -42105, -42165, -42249, -42357, -42489?\nAnswer: -42645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 4*m = -6, m - 12 = -4*s - 2*m. Suppose -2099985 = s*n - 2*l - l, -4*n + 5*l = 2799975. Round n to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 12528784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 47874 is divided by 40.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 466*q = -1946 - 3646 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -3, 0, -124, 8, 1.\nAnswer: -124, -4, -3, 0, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**2 + 7*m + 4. Calculate the smallest common multiple of 2 and f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 152 minutes after 4:43 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 5*g**3*m**3 + 70*g**3*m + 98*g*m**3 + 5*g*m**2 wrt g.\nAnswer: 30*g*m**3 + 420*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4*2\/(-4)*-1. Let u be (1\/(-23) - 0)*28\/42. Let d = u - 193\/483. Which is the third smallest value? (a) d (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h = -5*u - 222693, 27*h - 2*u = 32*h - 371155. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -5614*b*n**3 - 5*b*n**2 - 736*n**3 - 13*n**2 wrt b.\nAnswer: -5614*n**3 - 5*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 14? (a) 0 (b) 45 (c) 2\/13 (d) 4 (e) -6\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 71*x = 44*x - 49*x - 4*q - 72, -3*x + 1 = 4*q for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = 4654*g + 507305. What is z(-109)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 278433964?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 553394\nAnswer: 2\/276697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 249084.88 * -0.5.\nAnswer: -124542.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iiippppiiipip. What is prob of sequence iip?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 1199988 divided by 599994\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 8c9 - -6f813?\nAnswer: 700dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1221, 1218, 1215, 1212, 1209?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 46 + 7*o**3 - 22 - 16 + o to k*o**3 + r + a*o + s*o**2 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 148 = -5*j. Suppose j = 4*v - 58. Suppose -4*g = -2*k - 38, v = 2*g + 2*k + 11. Calculate the remainder when 29 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) be the first derivative of -h**7\/1120 + h**6\/120 + h**5\/160 - h**4\/8 + 12*h**3 + 39. Let i(w) be the third derivative of g(w). Factor i(p).\nAnswer: -3*(p - 4)*(p - 1)*(p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 19\/(-6)*(1063 + -1057).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 105997.773 hours in weeks?\nAnswer: 630.939125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 95 - 10*i - 195 - i**2 + 102. Let t be r(-10). Solve -5*b + 12 = -t*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - 1) + (-15 - (-6 + 4 + 8))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2646 + -2619.49. Round p to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.054 or 18670?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3\/4*(-296)\/555. Suppose -2*j - 7 = 3*u, -3*j + 3*u + 4 + 8 = 0. Put -0.5, y, j, 0.15 in descending order.\nAnswer: j, 0.15, y, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1 - 403323102?\nAnswer: -403323101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) be the second derivative of -t**7\/84 - 2*t**6\/15 - 3*t**5\/8 - 28*t - 3. Factor a(v).\nAnswer: -v**3*(v + 3)*(v + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*l + 120662 + 123868 = 0. What is the units digit of (-2*(-19)\/(-6))\/(95\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 3, h: 4, v: 4}. What is prob of sequence hhvh?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d = -588 - -589. What is the closest to d in 2, -0.02, -2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of 13*n**6\/6 - 14*n**3\/3 - 6. What is the third derivative of b(g) wrt g?\nAnswer: 780*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (1\/(-2))\/(((-18090)\/(-120))\/(-67))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 168425*q - 168405*q = -580 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 17*h = 44*h - 54 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.12 in -0.07, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -4 (b) -11\/6 (c) -1\/3 (d) -1\/6 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-167)\/((36\/(-602))\/(-3)). Let w = -8402 - i. Let q = -270 + 1344\/5. What is the common denominator of w and q?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose z = -3*f + 1 - 5, -4*z + 2*f = -12. Suppose -4*q + 20 = 0, -z*c = 4*q - 8 - 16. Let s(j) = 97*j - 4. What is the tens digit of s(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 44\/3? (a) 3 (b) -21 (c) 3\/14 (d) 9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -133 - ((-69 - 19) + -28)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 5, 2, -5, -27 in ascending order.\nAnswer: -27, -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60690*f + 2 - 30505*f - 30198*f.\nAnswer: -13*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.130642792 rounded to five dps?\nAnswer: 0.13064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 7\/15 of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 4 + 0*s - s**3 + 0*s + 7*s**2. Let x be j(7). Let r(o) = -o**2 + 9*o - 6. List the prime factors of r(x).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 5*g - 42, 4*w + 7*g = 2*g + 24. What is the second derivative of w*h**4 - 7*h + 34*h - 17*h wrt h?\nAnswer: 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 13, k: 3, z: 1, f: 2}. What is prob of sequence kk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 45634422.\nAnswer: 2, 3, 7605737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + -7 - (-4 + (-56)\/(-16))*9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -1500 (base 6) to base 2\nAnswer: -110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 f when three letters picked without replacement from fpzfp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 247.1? (a) 2.2 (b) 5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = -n - 3. Let i = 24 - 22. Let d(v) = i + 2 - 6 - 5 - 2*v. Calculate -2*d(f) + 5*z(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 687*b**2 + 676*b**2 - 1364*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 1394 times 0.024?\nAnswer: 33.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -5119*s + 96. Is w(-1) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -54, -2, 50, 102?\nAnswer: 154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -35.1943 - -1.7\nAnswer: -33.4943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(810)*-2*-1*4)\/(-4*(sqrt(18) - sqrt(288))*3).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (24\/18)\/((-1)\/(-3)). Suppose -g + v*g - 429 = 0. Is g 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 -160371, -160345, -160307, -160257?\n\"Answer: 6*c**2 + 8*c - 160385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - 4 - 3) + 15 - -64 - (-10 - 0).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 31*a + 24 = 23*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1287 and 114642?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(44) + -2 + -5.\nAnswer: -7 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(0 + sqrt(6)\/sqrt(3) + 1) + 1.\nAnswer: 7 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14904\/3105*(-90)\/(-6)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 25 + 235?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -15 + 19. Let g be (-11)\/2 + n - -3. Determine z so that z**5 + 0 - 1\/2*z - 3\/2*z**2 + g*z**4 - 1\/2*z**3 = 0.\nAnswer: -1, -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from cooocoscs. Give prob of picking 1 s and 3 o.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00297363146 to 7 decimal places.\nAnswer: -0.0029736","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 9935 + -9925. Solve -12*j = -2*j + m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2\/7, 2\/17, 40385?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -264 - -266. What is the second derivative of 8*n**2 - 3 + r*n - 3 + 4 + 6 - 85*n**2 wrt n?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -28403, -29855, -32287, -35693, -40067, -45403?\n\"Answer: x**3 - 496*x**2 + 29*x - 27937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 127 = -d + 136. Solve -10*y + d = 9 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/49, 1\/4, -4\/7, -10\/2819, 5 in decreasing order.\nAnswer: 5, 1\/4, -10\/2819, -1\/49, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0026538971 to six dps.\nAnswer: 0.002654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2034*h - 62340 - 27100 = -658*h for h.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 304*o - 92*o - 4*o**3 + 6*o**3 to k + a*o + q*o**2 + v*o**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -80*q**4 + 9442280*q**3 - 278616896805*q**2 + 139306677980*q - 17413260980.\nAnswer: -5*(q - 59014)**2*(4*q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g be 38\/(-190) + 8\/(-10). Which is the third biggest value? (a) g (b) 0.3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 - 10*w**2 + 21*w - 40. Let n be m(8). Let v(h) = 2*h - 6. Let a be v(5). Let f = a - 2. Solve 8 = -3*k - n*k + f*x, 2*k - 3*x + 7 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 83378 is divided by 5914?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {w: 1, m: 2, g: 6, k: 4, c: 3}. What is prob of sequence mc?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 - j + 22. Let p be (5\/(-15))\/(1\/(-3)). Calculate the smallest common multiple of 1*(14\/2 - p) and m(0).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -o**2 - 1051*o**3 + 9 + 1873*o**3 - 810*o**3 - 9*o as z*o**3 + a + q*o + h*o**2 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10.5 - 11. Let l = i - -0.4. Let k be (3\/3)\/(1*-2). Sort 2\/9, l, k in increasing order.\nAnswer: k, l, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.580522nm to kilometers.\nAnswer: 0.000000000005580522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 347*m**3 - 538900*m**2 - 3*m + 538900*m**2 + 2*m.\nAnswer: 347*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 8216 and 30719.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.01655336 from -8.1.\nAnswer: -8.08344664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that 2*a**4\/7 - 16844*a**3\/7 + 35448194*a**2\/7 + 70946928*a\/7 + 35481888\/7 = 0.\nAnswer: -1, 4212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j**(3\/2))**46)**22)**(23\/5) assuming j is positive.\nAnswer: j**(34914\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*v**2 + 12*v**2 + 5965*v + 2*v**2 - 5965*v.\nAnswer: 35*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 148 a factor of 4220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*m - 625 = -345 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1000001 + -1011010?\nAnswer: -11001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 884 by 4.\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*u = -68*u + 618 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 3*x - 3*r + r, 0 = 3*r - 12. Let k(a) = a**2 - 7*a - 4. Let d be k(8). Solve 15 + 11 = -4*s + x*c, -d*c + 24 = -s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 9\/(594\/9246) - (-3)\/(-33)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75) + (sqrt(75)*-3*-1)**2)*3.\nAnswer: 15*sqrt(3) + 2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3187218 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 33010 - -0.5\nAnswer: 33010.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 29 + 149?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 divided by 109538.\nAnswer: -19\/109538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -223955 divided by 6?\nAnswer: -223955\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 9006043?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = d - 2*d + 4*j - 22, d = j - 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 97 minutes after 10:01 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 1948*r + 474338 + 4*r**2 - 3*r**2 - 10*r**2 + 8*r**2 + 3*r**2.\nAnswer: 2*(r + 487)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -2*n**2 - 4*n + 29. Determine s(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-28)\/182 - (-11130)\/689?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -w**3 - w - 2. Suppose c = -1 + 10. Let n(r) = r - 9. Let u be n(c). What is b(u)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -109\/18760 and 121\/4690?\nAnswer: 18760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 37*d - 79*d + 6*d to x*d + v and give x.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c\/(c*(c\/c**(-9))\/c))**(-2\/5) assuming c is positive.\nAnswer: c**(18\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 11 divide 12041848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**2 + 3*k + 6. Let j be x(4). Factor -18*g**j - 3 - 4*g + 28*g**2 + 3.\nAnswer: 2*g*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 5 + 2178?\nAnswer: 2182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 187698 is divided by 93834?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k + 2*k - 25. Suppose 0 = k*c - 10550515 + 43050515. Round c to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = -8*z + 24 - 48 + 24 + 3*z. Let t(y) = 2*y**2 - 35. What is t(u(q))?\nAnswer: 50*q**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1132.2 + -1131.2. Sort 1.1, -0.2, 182, -2, j in descending order.\nAnswer: 182, 1.1, j, -0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 98 is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*b - 0*n + 3*n - 9, 4*n = 5*b - 51. Suppose b*f = f - 522. Let d = f + 93. Which is smaller: 8 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(121) - 2*sqrt(121) - sqrt(121))*-1)\/(-5*(sqrt(11) - sqrt(11)*-4)) + -5.\nAnswer: -5 - 2*sqrt(11)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.797 and 1067395.\nAnswer: 1067396.797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*z - 2*z + z - 13*z + 14*z - 6*z + (-1 + 0 + 3)*(3 + z - 3) - 1 + 1 + z.\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a, 1 q, and 1 b when three letters picked without replacement from bpaqq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*a = y + 2*a + 15, 12 = -a + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Subtract 13859901 from 2.498128.\nAnswer: -13859898.501872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.1 - -0.02. Let u = -0.22 + w. Let g = -59608 - -59612. Which is the second smallest value? (a) 0.05 (b) g (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -159\/2 + 82. Calculate the common denominator of 2\/(-6) + (-179)\/(-33) and g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 38803.\nAnswer: 38803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -1, 422, 1883, 5000, 10391?\n\"Answer: 103*l**3 - 99*l**2 - l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(-2 + sqrt(44) + 0) + 6*(sqrt(704)*-2 + -3))**2.\nAnswer: 4320*sqrt(11) + 89676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 568*i**4 - 1168*i**3 - 2*i**2 + 4234329*i?\nAnswer: 6816*i**2 - 7008*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2931, 5943, 8955, 11967, 14979?\n\"Answer: 3012*t - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) = -u**2 - 33*u - 59. Let v be s(-31). Find the second derivative of 130*i**v - 325*i - 57 + 167*i + 160*i wrt i.\nAnswer: 780*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = -a**2 + 6*a - 6. Let f be x(4). What is the second derivative of 0*r - 2*r + r**3 - f*r wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3\/2, 13, 14, 1, -2\/11?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:07 AM and 4:37 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -66511, -5, -361 in descending order.\nAnswer: -5, -361, -66511","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -3\/7 (b) 0 (c) 3.7 (d) -0.1 (e) -8 (f) -47\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 3) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 115 + -86.2. Let r = d - -5.2. Let l = r + -19. Is 0.2 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - (-4 + 2)) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 3096 + -1631. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 188 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 51, 63, 85, 117, 159, 211?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be 141\/45 - 10\/75. Let m be ((-1)\/l)\/(6\/(-36)). Let v be -4*((-9)\/m + 1). Calculate the greatest common divisor of v and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 1, -162, 1\/3, 0, -1\/10, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 64*h + 2502. Determine p(-39).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1124642948.\nAnswer: 2, 11, 13, 151243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round 0.52828704 to 3 dps.\nAnswer: 0.528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*(-1*-1*(2 + sqrt(325))*-4)**2.\nAnswer: -15792 - 960*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert -2013230 (base 5) to base 3.\nAnswer: -1122022212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u + 0*u - 10 = 0. Let g be 1*(0 + u - 2). Which is smaller: g or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 3, -133 in descending order.\nAnswer: 3, 2, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*l**3*w + 1514*l**3 - 2*l**2*w**2 + 24*l*w**2 + 7*l + 2*w**2 - 13*w wrt l.\nAnswer: 24*l*w + 9084*l - 4*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*d - 0*d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -19 + 20. Sort -2, 0, c in ascending order.\nAnswer: -2, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4877787?\nAnswer: 3, 73, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 37*v + 25*v + 1002 = -21*v - 3397 for v.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-1 + 79)\/(28 - 26) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -b**3 + 6*b**2 + 8*b - 9. Let s be d(7). Let j be 12\/(-21)*7\/s. Let k = -6 + 8. Solve p = -j - 0, -k*m = -p + 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 12*c + 15 + 7*c**2 - 28*c + 14*c**2 + 12 + 12. What is the units digit of q(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 222341304 - 2322?\nAnswer: 222333432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pxv when three letters picked without replacement from {x: 1, p: 2, d: 4, v: 2, c: 6}.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/(t\/((t*t\/t**(3\/14)*t)\/t*t)))\/t*t**(-9)\/t assuming t is positive.\nAnswer: t**(-115\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1799172 times 2?\nAnswer: -0.3598344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 23 - 36. Let w = -13.085 + 0.09. Let z = b - w. Round z to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -11*j + 373. Give i(36).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 233 = 5*a - 2*m, -2*a + m + 93 = -0*m. What is the remainder when a is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 410 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 14*c - 5. Let j be u(3). Suppose -308 = -j*w - 7*w. Solve 4*h = h + 4*s + 2, s - w = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zpaw when four letters picked without replacement from {p: 3, z: 5, w: 1, r: 1, a: 2}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = -a**2 - 33*a - 91. Let j be u(-3). Is 2\/7267 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -4 + 80333117?\nAnswer: 80333113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = 602 + -272. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 19 = 9. Suppose 2*t - 345 = -3*t. Suppose -p + t = k. Calculate the highest common factor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 2813 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-5*sqrt(135)\/sqrt(3))**2.\nAnswer: 40500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 202*v**5 - 49*v + 2 - 2 + 2*v**2 + v**6 - 100*v**5 wrt v.\nAnswer: 120*v**3 + 6120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/5 in 0.1, 5, -3, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j - 5*i + 57 - 13 = 0, 52 = 4*j + 5*i. Let f = j + -8. Let k(g) = g - 5 - 2 + 4. Calculate k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(132)\/((sqrt(22) - sqrt(22)*-1)\/sqrt(2)).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 13 (b) -1\/3 (c) -42858\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v + 21967 = -0*v + 5*i, 3*v + i + 16499 = 0. Let n = v - 5168. Let j = 127877\/12 + n. Calculate the common denominator of j and -7\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 0, 2, -4, -48, 3 in ascending order.\nAnswer: -48, -10, -4, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 10484 + 1744?\nAnswer: 12338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let i = 8.2 - 9. Let g = 0.4 + i. Is 0.1 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1488365400 by 75.\nAnswer: 19844872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i**2 + 2*i**3 + 2*i**2)*(2*i - 2*i + 5*i) - 80*i**3 - 8*i**4 + 80*i**3 - 2*i**2.\nAnswer: 2*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5 + 2 - (-1)\/(2\/(-4)). Solve 2*z + 6 = 3*s, 5*s = -u*z + 7*z + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1936*d**5\/3 + 5500*d**4\/3 - 964*d**3\/3 - 121*d**2\/3 - d = 0.\nAnswer: -3, -1\/22, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vzullykklz. Give prob of sequence ky.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Subtract 62 from 9693.\nAnswer: 9631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 6.1601 micrograms in milligrams?\nAnswer: 0.0061601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0 + 0.1. Suppose r + 1 = -3*g, 3*g + r = 3*r - 7. Let p be g*-2*5\/40. Which is the nearest to -1? (a) p (b) -1\/9 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = f**2 - 8*f + 3. Give q(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 44.98 - 42.98. Put 130, 6, v, 1, -2\/13 in increasing order.\nAnswer: -2\/13, 1, v, 6, 130","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 373 divide 235399351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6492638 to the power of 1\/2, to the nearest integer?\nAnswer: 2548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from bpiggbggppidpwg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24 divided by -350267.\nAnswer: -24\/350267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + -1*(5 + sqrt(176)))**2.\nAnswer: 56*sqrt(11) + 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53*n + 52*n - 2 = 0. Let u(j) be the third derivative of j**6\/120 + j**5\/60 - j**3\/3 + j**2. What is u(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ww when two letters picked without replacement from llzwlzwzwllwwzwwl?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) be the second derivative of 5*l**7\/168 - 7*l**6\/24 + l**5 - 5*l**4\/4 - 146*l. Factor m(y).\nAnswer: 5*y**2*(y - 3)*(y - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 46 + 87. What is the common denominator of 115\/36 and (242\/120 + -2)*u?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = y - 2 - 0. Suppose 5*o + 3*d = -y*d, 0 = -2*d. Let v be ((2 - -1) + 5)\/2. Solve v*n - 5*a + 5 = o, 3*a - 6*a = -5*n - 3 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -10 + 110?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*a + a - 3*a + 2*a + a - 5*a + (-1 + 1 + 1)*(-a - a + a) - 7*a + 0 + 0)*(4*a**3 + a**3 - 4*a**3).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = 2*j**2 - 52*j + 15. Let k be h(26). Solve 37 = k*d - 23 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100021 - 21002220022?\nAnswer: -21010020120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.2 + -5.8. Let j = b + 6.00000096. Round j to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -4*d + 6. Let f(k) = 3*k + 11*k**d - 7*k + 8*k - 12 - 10 + k**3. What is the units digit of f(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -553 - -553. Suppose -t - w = 1, -t + 4*w - 14 + 18 = u. Is -7\/30 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3208210 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-20)\/(-60))\/(-6*(-7)\/1386).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -p + 2. Let z be k(3). Let c = 3 + z. What is the remainder when 4 + 29 + c - 4 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**3 - 20*x**2 + 19*x - 9. Let y be o(19). Let i = 28 - y. Calculate the remainder when i is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) be the third derivative of -r**7\/135 - r**6\/15 - r**5\/5 - 7*r**4\/27 - r**3\/9 - 74*r**2. Determine i so that c(i) = 0.\nAnswer: -3, -1, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**1*g)**(-31)\/(g**(-3)*g*g*(g\/g**(-5))\/g))\/(g*(g*g**(-4)*g)\/g*g**3*(((g\/(g**(-5)*g))\/g*g)\/g)\/(g*g**(-5)*g)) assuming g is positive.\nAnswer: g**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 355 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2144 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 10) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - g**3)*(1 - 1 + g) - 4*g**4 + 5*g**4 + g**4 + g**4 - 3*g**3 + g - g + 3*g**2 - 3*g**2 + 2*g**4 + (1 + 1 - 3)*(g**4 - g**3 + g**3).\nAnswer: 3*g**4 - 3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -d**3 + 24*d**2 + 78*d + 26. Give y(27).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 11587110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1534*t = 1540*t. Let y(x) be the second derivative of 1\/3*x**3 + 5*x + 1\/6*x**4 + t + 0*x**2. Find n, given that y(n) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 4938, 9384, 13784, 18138?\n\"Answer: -23*b**2 + 4515*b + 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -288275840 divided by 450431?\nAnswer: -640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -28 - -1a?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, w: 1, b: 4, t: 2, r: 8, z: 2}. What is prob of sequence wrb?\nAnswer: 16\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = z**2 - 22*z + 82. Give l(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8636435 or -8636434?\nAnswer: -8636434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -24, 3, 23, 5, 0.2 in decreasing order.\nAnswer: 23, 5, 3, 0.2, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -20060, -40120, -60178, -80234, -100288?\n\"Answer: q**2 - 20063*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 12 - -1 - -5 - 14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 5*a = -137256, -a - 343232 = -5*l - 2*a. What is the thousands digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.005832 + 3.4.\nAnswer: 3.394168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -69*g + 6. Let z be f(0). Solve -2*c + z = 3*r, -2*r + 0*r - 4 = 4*c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aaaaamama. Give prob of sequence amma.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (80\/1760*-11)\/63?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*(3\/(-9) - (-36)\/27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) 5748 (b) -4\/5 (c) 1\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/5? (a) -23692 (b) -2\/3 (c) 5\/4 (d) 1\/9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*j**5 - 136*j**4 - 140*j**3.\nAnswer: 4*j**3*(j - 35)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 232129.\nAnswer: 232129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 441795131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = 3*o**3 - 8*o**2 - o - 3. Let k be t(3). Suppose -2*w - 11 + 161 = 2*n, -k*w - 71 = -n. Let c = n + 198. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -3*g - 8. Let v be p(21). Let m = 124 + v. Is 7 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 60.692 - -0.308. Let i = l - 59. Sort i, -3\/2, 0.7 in decreasing order.\nAnswer: i, 0.7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -0.1, 47313, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*sqrt(420)\/(3*sqrt(12)*-1))\/(-2*1*sqrt(1008) + -2*1*sqrt(1008)))**2.\nAnswer: 5\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 149977543.\nAnswer: 149977543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in 136266, 272560, 408854?\nAnswer: 545148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -5*n + 4*v, 4*n = -v + 2*v - 12 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 PM and 11:54 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let 5*p**5\/2 + 25*p**4\/2 + 45*p**3\/2 + 35*p**2\/2 + 5*p = 0. Calculate p.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -53062, -53064, -53066?\n\"Answer: -2*w - 53060","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -2*y - 7. Let o be v(-5). Let k be (-5)\/(-1) - (o - 1). Suppose t + 12 = 5*h, -k*h = -4*t - 2*h + 47. Solve -2*i = -3*g + 4, 8 + t = 2*g - 5*i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k = 3*c - 43866, 185*c - 73130 = 180*c - 5*k. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1961925 and 2667.\nAnswer: 249164475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j + 2. Let b be h(-5). Let u(p) = 13*p**3 + b - 14*p**3 - 4*p**2 - 2*p**2. Suppose -8*k + 6*k - 12 = 0. Give u(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 53923*b**2 + 116697 wrt b?\nAnswer: 107846*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 3*d + 8 = 0, 2*z + d = -3*d + 66. Solve 0 = 3*b + z - 8 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3166?\nAnswer: 2, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**3 - 3*u**2 - 3*u - 5. List the prime factors of p(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 11531886 + 0.3\nAnswer: 11531886.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (22 - (29 + -16))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 10 in 0.3, 0, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 398\/721 + 2\/103. Let a = -19 + 20.05. Let l = -0.05 + a. What is the third smallest value in l, r, -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (284 - 924*n**2 - 284)*(-4*n + n + 2*n) to the form y*n**3 + l*n**2 + t*n + q and give y.\nAnswer: 924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -33 - (0 + -6 + (45 - 36) - 6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times 3193\nAnswer: -638.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 + 17. Suppose 0 = b*r - 27684 - 54958. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 380\/6 + 3\/(36\/(-24)). Let j = 61 - m. Which is the closest to 6\/5? (a) j (b) -3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*j**5\/3 - 64*j**4 + 4738*j**3\/3 + 3420*j**2 - 243000*j - 486000 = 0. What is j?\nAnswer: -10, -2, 18, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 43*r**2 + 2374*r + 116. What is the thousands digit of h(-64)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -60934, -103018, -145102?\n\"Answer: -42084*q - 18850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from cdcdcdd. What is prob of picking 3 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*v**2 + 9*v**2 + 4*v**2 - v**2 - 2*v**2 + 2*v**2 - 4*v**2 - v**2 + 6*v**2 + (v + v + 0*v)*(v + 4*v - 4*v) + 1 - 1 + 2*v**2 - 2*v**2 + 4*v**2 + 0*v**2.\nAnswer: 19*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 0*a - a + 2 - a + 9*a in the form h + i*a and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -r**3\/4 + 334413*r**2\/2 - 111830716905*r\/4 - 111833392225 = 0. Calculate r.\nAnswer: -4, 334415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(90)*1)\/sqrt(9))\/(sqrt(2) - (sqrt(2) + sqrt(8)\/sqrt(16))) + (-2*(sqrt(160) - (1*sqrt(160) + sqrt(160)) - sqrt(160)))\/sqrt(8).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {f: 2, w: 4, j: 4}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 - 2.1. Let n be (-24)\/54*(-3)\/2. Sort n, 5, d in increasing order.\nAnswer: d, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2714 - 2719. Let r be (2\/(-6))\/((-4)\/36). What is the second biggest value in q, -0.3, r?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -38028 and -1256.7432?\nAnswer: 36771.2568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/7, 3, 4\/9, 89, 0.\nAnswer: 0, 2\/7, 4\/9, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -3*z**2 + 3*z + 3. Let s(t) = t**3 - 5*t**2 + 4*t + 3. Let u be s(4). Let x(l) = l + 4*l - 1 - 6*l + 0. What is u*x(d) + f(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -p**3 + 4*p**2 - 2*p + 2. Let k be d(3). Suppose -5*i - 85 = -5*b, -2*i + i - 81 = -k*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 13 + 81?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2 - (-14)\/10) + 6\/(-15). Is 8 a factor of 10644\/36 - l*(-2)\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -145d (base 14) in base 5?\nAnswer: -103421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1 - (1 + -1))*-18. Let j = s + 24. Let a(f) = -7*f - 5. Let v(p) = -6*p - 4. Let z(d) = -8*d + 19. Let w be z(3). Give j*v(q) + w*a(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 102110 + -132?\nAnswer: 101312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**0)**(-21)\/(a**(-1))**(17\/4) assuming a is positive.\nAnswer: a**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 8317488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -9*m**2 + 13*m + 9. Let f(q) = -6*q**2 + 9*q + 6. Calculate -7*f(z) + 5*p(z).\nAnswer: -3*z**2 + 2*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 - v - 8. Let h be z(-3). Let k(p) = 2*p**2 - 6*p + 2. Let d be k(2). Let s be (2\/20 - (-8)\/20)*4. Put h, -4, s, d in ascending order.\nAnswer: -4, d, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1050721591?\nAnswer: 29, 36231779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1440 = -206*f + 134*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-11 + 26\/13)*-1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 822861023 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose j**2\/3 - 413*j\/3 - 1700 = 0. Calculate j.\nAnswer: -12, 425","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 24.3 + 556.0306.\nAnswer: 580.3306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001502471 to 6 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in -380026, -380428, -380818, -381190, -381538, -381856, -382138, -382378?\nAnswer: -382570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = -15*k + 18*k. Suppose 0 = -k*f + 2*f + 8. Suppose -f*c - 2*d + 5*d = -3, 2*d = c + 3. What is the remainder when 8 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + -1 + (1 - 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 7*o - 5*o - 9 = 0, -o = 3*z - 1. Let p be 8\/(-16)*(z - -2). What is the closest to -2 in 1\/7, p, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -x - n + 16, 94 = 4*x + 5*n. Let p = -22 + x. Solve p*g - 15 = -7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9962 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/4? (a) 2\/3 (b) -43.484 (c) 5 (d) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 794466 a multiple of 303?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the third derivative of -i**6\/120 + i**4\/24 + i**3\/6 - i**2. Suppose -z + 2*d = 2*z - 2, -14 = -4*z - 3*d. Suppose r = -r - z. What is c(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1227, -4903, -11127, -19899, -31219, -45087, -61503?\nAnswer: -80467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 55816697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 183831, 184038, 184383, 184866, 185487, 186246, 187143?\nAnswer: 188178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -283*w**3 + 1372*w**3 - 1085*w**3 - 3*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = q**3 - 5*q**2 - 2*q - 5. Let z be n(5). Let r be (-40)\/(-50) + (-581)\/(-5). Let s = r + z. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-10)\/(-8))\/(25\/5)*4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 681 minutes before 8:27 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 8, 5, -1 in increasing order.\nAnswer: -1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 4\/3 (c) 1.2 (d) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 60\/64*(-364)\/273.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Add 27.653826 and 0.108868.\nAnswer: 27.762694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = 166*j**3 + j**2 + j**2 - j**2 - 167*j**3. Let w(z) = -7*z**3 + 3*z**2 + 2*z. Let s = -4 + 9. Calculate s*r(f) - w(f).\nAnswer: 2*f**3 + 2*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/4 in 0.3, -1, -10, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 - (-4 + -15 - -19 - 41)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -2031, -2058, -2101, -2160, -2235, -2326?\n\"Answer: -8*b**2 - 3*b - 2020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 743883?\nAnswer: 3, 7, 35423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = 10 + h - 5 + 4 - 5. Let m be u(-4). Which is smaller: -2 or m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -53 + 41. Let p be ((-8)\/6)\/(g\/18). Solve -3*c = -c - p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -2*k**3 + 15*k**2 + 11*k - 1. Let s(g) = 5*g**3 - 44*g**2 - 30*g + 3. Give -3*s(w) - 8*v(w).\nAnswer: w**3 + 12*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -66 (b) -2 (c) -228 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*f + 0 - 16 = 0. Sort 5, 38, f, -5 in decreasing order.\nAnswer: 38, 5, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.78*413149.\nAnswer: -322256.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.2 + -0.1. Let r = 1.2 + -1. Let l(n) = n**3 + 13*n**2 - 31*n - 12. Let s be l(-15). Which is the closest to w? (a) s (b) r (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*q - 69 = -2*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2497862 litres in millilitres?\nAnswer: 249.7862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dssgkxmxk. Give prob of picking 1 d and 1 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -b**3 - 6*b**2 + 22*b + 13. Calculate the lowest common multiple of l(-9) and 16.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 1180732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -29 - 2 = -10*r - 91 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 40239\/(-9468)*(-12)\/(-1) + (-4)\/2?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 355017, 710047, 1065093, 1420155, 1775233, 2130327?\nAnswer: 2485437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 61\/44 - 7\/11. Let r be ((-4)\/6)\/((-2)\/(-14)*70\/(-20)). Put -0.1, x, 3, r in ascending order.\nAnswer: -0.1, x, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 6*(-2 + 0 + sqrt(126)\/sqrt(2) + sqrt(7) + -1*(1*sqrt(7) - sqrt(7)) + sqrt(7)))**2.\nAnswer: -600*sqrt(7) + 6400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 3*h**2 - 58*h - 108. Give w(21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**2 + 2*c - 2. Let t be o(-3). Suppose -2*v = -t - 1. What is the remainder when (6*v)\/((-6)\/(-15)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 8958550*u. Let c(n) = -1381*n. Let x(k) = -3*b(k) - 19460*c(k). Let g(v) = 2*v**2. What is x(g(y))?\nAnswer: -2780*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = -69.397 + -0.103. Let z = k + 69. Let f(v) = v**3 + 4*v**2 + 5*v + 4. Let p be f(-3). What is the closest to -2\/5 in p, 3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -378 + 12798 = 18*a. What are the prime factors of a?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c = -5*l - 14 + 65, -c = -5*l + 63. Solve 2*u = a, 2*u + 5*a - l = 6*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 445675896 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.002510842 and 4?\nAnswer: 0.010043368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12.97 + -0.03. Is k at least -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4545996 is divided by 1267?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z = x + 6, 16 = 5*x + 2*z + 59. Let d(w) = -12*w - 22. What are the prime factors of d(x)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ee when two letters picked without replacement from ehheehee?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/(2 - -2) - -2. Suppose 2*i - 15 + 1 = y. Calculate the greatest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -36441 - -36439.79845. Let g = x + 1.2. Round g to 4 decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the second derivative of y**6\/75 - y**5\/20 + y**4\/20 + y**3\/30 - y**2\/10 + 4*y. Factor c(i).\nAnswer: (i - 1)**3*(2*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = q**3 - 10*q**2 - 11*q + 5. Let k be g(11). Suppose 21 = -k*n + 41. Let w be n\/18 + 100\/36. Solve w*v = 4*f - 2*v + 28, -4*f - 5*v = -12 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28476405 divided by -327315.\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -3*v**2 - 8284*v + 158488. Give h(19).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -24*h**2 - 16*h**2 + h**3 - 14 - 16*h**2 + 11*h + 55*h**2. Let y be z(2). What is the highest common factor of y and 384?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -3*i**3 + 1. Let o(x) = 0*x - 5 + 2*x - x. Let s be o(8). Let c = -2 + s. What is d(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2379, -4, 4.\nAnswer: -2379, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -2936*a = -2727*a - 1254 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111101000110101100100000011 + -1?\nAnswer: 111101000110101100100000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -a**2*o**2 - 73*a**2 - 6*a*o**2 + 255*o**2 - 2*o + 32 with respect to a.\nAnswer: -2*a*o**2 - 146*a - 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 441.9735 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 436 = 4*g + 5*p, 4*g - 401 = 3*p. List the prime factors of g.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = m**3 - 5*m**2 + 7*m - 9. Let q = -42 + 46. Let x be s(q). Let f be (1\/12)\/(-1)*x. Put -1, 3, 0, f in decreasing order.\nAnswer: 3, 0, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 450161754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 2*m. Let l(d) = d. Let r(a) = 6*a. Let h(q) = -3*l(q) + r(q). Give c(h(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 4 and 37619987?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 326413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 1889*p - 85*p = 30375 + 3945 + 63096 for p.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 39 + 6 + -65 + (-5 - 14).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 79, -52, -2, -3\/2, -4, -1, 1?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(119) + sqrt(119) - sqrt(119))*-2 - (sqrt(119) - sqrt(119)*-2)*-6)\/(sqrt(343)*-2 + sqrt(28)*-2).\nAnswer: -11*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1709\/5 - 343. Which is the second smallest value? (a) m (b) 2 (c) -0.1 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes before 7:29 AM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2337 and 199329.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a - 92 = -2*a. Determine t so that 4*t**4 - 20*t**3 + 7*t**5 + 5*t**5 - 4*t**2 + 92 + 8*t - a = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2735, -11687, -26613, -47513?\nAnswer: -74387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -81 = -23*j - 12. Let k(r) be the second derivative of 0*r**3 + j*r + 1\/24*r**4 + 0 + 0*r**2. Solve k(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:04 PM and 7:38 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 28 = -5*j - 5, 2*j = 4*p + 26. Solve j + 9 = -3*y - v, -4*v = 28 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(5\/3)\/(f*f**5))\/(f*f**(-4)\/f*f**(-2\/5)) assuming f is positive.\nAnswer: f**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 9, 27, 57, 99?\n\"Answer: 6*o**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5085.\nAnswer: 3, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 35169 + -35169.000067164. Round c to 6 decimal places.\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 4*r**3 + 6. Let g(j) = 8*j**3 + 12. Let k be (36\/3 - 28) + 12. Calculate k*g(f) + 9*a(f).\nAnswer: 4*f**3 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -99? (a) -7 (b) -50 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-45) + 129\/(-27)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 110067272*n**2 + 3066883 wrt n?\nAnswer: 220134544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Total of 3.7 and -180.054.\nAnswer: -176.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1900 - 121?\nAnswer: -1a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 5*s + 102007 = 0, -6*w = -2*w + s - 102037. What is the ten thousands digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 10052, 20089, 30120, 40145, 50164, 60177, 70184?\nAnswer: 80185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + 4. Let o = 4.9 - l. Which is bigger: o or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = -v**3 + 4*v + 4. Give d(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 7*t - 6. Let b be c(1). Solve -4*y - b = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**3 + 393*w**2 - 5943*w + 21315.\nAnswer: 3*(w - 7)**2*(w + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-1\/4))\/((w*(w**(4\/3)\/w*w)\/w*w*w)\/w)*(w**(-1\/5))**32*(w**(2\/9)\/w)**15\/(w*w**(-1\/2)\/w*w)**(-11\/6) assuming w is positive.\nAnswer: w**(-547\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = -58*f + 76*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 divided by -88.\nAnswer: -13\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 3*c. Let w(x) be the third derivative of x**5\/30 + 8*x**2. Give w(z(t)).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v = 10228 - 4021. Suppose -2117 = 10*w - v. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 663138 and 35?\nAnswer: 3315690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 626133 (base 7) to base 14\nAnswer: 2b3c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -101233042 or -101233044?\nAnswer: -101233042","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -x - 0*x + 56. Suppose x + 66 = -g. Let o = 181 + g. Does 10 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = 2*t + f + 2, t - 3*f + 5 = 0. Let r = 123\/406 - 1\/58. What is the second biggest value in r, -0.3, t?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 2, g: 4, y: 1, e: 6, i: 4}. What is prob of picking 1 e, 1 i, and 2 g?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 404859 or 404858?\nAnswer: 404858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = -106 + 214. Calculate the highest common factor of 162 and m.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 140 + 41*d**2 + 100 + 96 - 436 + 100.\nAnswer: 41*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (90\/(-40))\/((((-11)\/(-32))\/11)\/(49\/84))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2016*t + 41882 - 21722 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1083 is divided by 40.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w**3 + 435 + 28*w - 435 + (-4*w**2 + 0*w**2 + 3*w**2)*(2*w - 3*w - w) + 3*w**3 - 2 + 2 - 4*w**3 + 3*w**3 + 2*w**3.\nAnswer: 4*w**3 + 28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*o = j + 7, 0 = -5*o + 4*o + 3*j - 5 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -14*g + 2*g - 60 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) = 3512*n - 140485. Give u(40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11406?\nAnswer: 2, 3, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (13 + 6 - 13) + (-1 - 9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -2*a + 0 + 5 - 1 + 2*a**2. Let z be w(4). Suppose -116 + z = -5*o + 4*g, 3*o + 5*g = 75. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes after 5:22 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.29 - 0.01. Let x = 6 + -5.8. Let s = 2.9 - 3. What is the nearest to s in 4, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-9*c + 7*c + 3*c)*(-15*c + 15*c - 5*c**2) - 10*c**3 - 5*c**3 - 4*c**3 - 6 + 13 to s*c**2 + x*c + n + f*c**3 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 - 1210*k**2 + 2346*k - 1374632. Calculate w(1209).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -127*b**2 - 11*b - 11. Let h = 42235 + -42229. Let q(v) = 32*v**2 + 3*v + 3. What is h*r(j) + 22*q(j)?\nAnswer: -58*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 989463*c - 13554 = 989212*c for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2\/3819 + 7664\/49647. Let u be (4\/48)\/((-9)\/(-24)). Put u, k, -6\/5, -2 in increasing order.\nAnswer: -2, -6\/5, k, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1147575 divided by -825?\nAnswer: 1391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/v**(-4))**(3\/16)*(v**(-1\/3))**(1\/17) assuming v is positive.\nAnswer: v**(749\/816)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000794382 to six decimal places.\nAnswer: -0.000794","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(-2*(0 + sqrt(720)) - (-2*sqrt(180) + 5))**2.\nAnswer: -745 - 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m + 4*m - 51. Suppose 18*t - 6 = m*t. Suppose -t*f = -8*f + 112. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1 - 2 - -4)\/((-1)\/69). Let t = m - -139. Let o = 21 - -7. What is the greatest common divisor of o and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 6 = 5*v. Suppose -11 = 3*z + v*y + y, -y = -2*z - 22. Is (-601)\/z - (-4)\/18 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -s**2 + 4*s. Let y be t(3). Let r be (-1)\/3 + 63\/27. Let o be ((-3)\/(-7))\/(r\/14). Solve -v = -y*p + 10, -5*p - 2*v + o = 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0539265784 rounded to three decimal places?\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = -2*l. Let s(d) = -d. Let x(v) = 7*s(v) - 2*w(v). Let y(t) = -2*t. Determine x(y(k)).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 2*p - 21. Let u be k(8). Let m(y) = -8 + 2 - 1782*y - 4. Let a be m(u). What is a rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -430385 = 137*r - 2021366. What are the prime factors of r?\nAnswer: 3, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1212 + 34. Let r = c - -1292.4. Round r to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 - ((-5 - -4) + 4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = 3*p + 35. Let d(n) be the third derivative of n**4\/24 + n**3\/2 + 13*n**2. Let k be d(-3). What are the prime factors of u(k)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -y**2 + 13*y - 22. Let z be k(4). Calculate the common denominator of 53\/15 and 4\/z - 6616\/1008.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -37*m + 29. Let v(d) = 6*d - 5. Let c(u) = 4*q(u) + 23*v(u). Let n(y) = -23*y**2. Calculate c(n(o)).\nAnswer: 230*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8 - 7.7. Let g = -26.322 - 0.078. Let c = g - -26. What is the third biggest value in -4, z, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = 32*o. Let m(g) = -17*g. What is q(m(h))?\nAnswer: -544*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3121 + -878. Is a a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzzzwz. What is prob of picking 3 z and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 140.24583us to hours.\nAnswer: 0.000000038957175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -66 (c) 169 (d) 0.08 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (-39)\/(-36) - 228\/171\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -38732, -77354, -115976?\n\"Answer: -38622*r - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 1690*x**2 + 5 + 217*x**2.\nAnswer: 1907*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 16196531167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -31, 31, -1\/5, 2, -5 in ascending order.\nAnswer: -31, -5, -1, -1\/5, 2, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 30652.31 micrograms in kilograms?\nAnswer: 0.00003065231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 0.3 (c) -62 (d) 0.102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add 1.6 and -36870.108.\nAnswer: -36868.508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -181679187, -181679184, -181679181?\nAnswer: -181679178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-17)\/(-119))\/(1\/(-2)). Which is the second smallest value? (a) -4 (b) r (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2578701 (base 12) in base 10?\nAnswer: -7376113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 370402898, 370402899, 370402900, 370402901?\nAnswer: 370402902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3627486 and 7398?\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 16756445395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -8*n + 3*n. Suppose -n = 3*o - 4*s - 22, -4*o = -s - 28. Solve -2*d = 9 - o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9338655511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00002267 to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10 in 0.1, 3, -6, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + ((4*(sqrt(252)*-2 - sqrt(252)) - -6*sqrt(252)*-1)**2 - (sqrt(504)\/(sqrt(24)\/sqrt(3)))\/(sqrt(1296)*2)))*-2.\nAnswer: -163302 + sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -290631 - -0.1\nAnswer: -290630.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 64931324.\nAnswer: 2, 479, 33889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + a = 0. Let t be 2\/(a + 1\/2). Suppose -5*k - 13 = 3*r + 9, -t*r + 4*k = -24. Calculate the remainder when 3 is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 644*v + 1926. Let z be q(-3). Which is the third smallest value? (a) -3 (b) z (c) -0.92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 4*y**2 + 2*y - 6. Let k = 56 - 61. Let j(h) = h**2 - 1. Give k*j(f) + u(f).\nAnswer: -f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 2*f. Let y(b) be the third derivative of -b**6\/360 + 7*b**5\/120 - 3*b**3\/2 - 20*b**2. Let u(n) be the first derivative of y(n). Give z(u(j)).\nAnswer: -2*j**2 + 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1221230 + -3?\nAnswer: -1221233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 43264*t - 32431 = 43551*t for t.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -45\/7 and -39\/130906.\nAnswer: 916342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be -2 + (-9)\/(-5) + 110446\/230. Calculate the highest common factor of v and 528.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 2, e: 9, v: 1, q: 4, k: 1}. Give prob of picking 2 q.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 - 6 = -i + 3*r, 4*r - 1 = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 9420 = 2*p. Let n be -32*(1 + (-1924)\/p). Let j = n + -2\/157. Put j, 4, 1\/8 in increasing order.\nAnswer: 1\/8, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((10\/(-4))\/((-85)\/68))\/(-15).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 3*l**3\/4 - 33*l**2\/4 + 45*l\/2 = 0. Calculate l.\nAnswer: 0, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0\/(-5) - 26*-283*4. Suppose 8187 = -7*l + w. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/(-27))\/((-37)\/(35187\/(-634)))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3490*w**5 - 4592105*w wrt w.\nAnswer: 69800*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -17936211.6 rounded to the nearest one hundred thousand?\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2\/71 + -63\/284. What is the closest to -7 in 0.4, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -28604, -28610, -28616, -28622, -28628?\n\"Answer: -6*o - 28598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 14, y: 5}. Give prob of picking 3 y.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7761849 is divided by 13089.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 142 divide 8378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -59\/248 and -101\/42.\nAnswer: 5208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*d + 9*r + 23, 36*d - 4*r = 41*d - 105 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -638?\nAnswer: -638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(363) - ((sqrt(363) + 0)*1)**2 - sqrt(363)).\nAnswer: 726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:39 AM and 10:18 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -8 + 92 + -58 + -41?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 296303\/906832 + -11\/5776. Find the common denominator of 61\/9 and a.\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 3, 4, -0.079?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + 4 - 5)*((0 + 0 - 2)*(w - w + w) - 22*w + 48*w - 27*w) to the form r + x*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1222\/(-66) + 9\/27 + ((-704)\/121 - -6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 51128352 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 35483, 35495, 35507, 35513, 35507, 35483?\n\"Answer: -f**3 + 6*f**2 + f + 35477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 442737 is divided by 115.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 470*s + 433*s + 381*s + 443*s + 367*s - 2228*s.\nAnswer: -134*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put 51, 13, 54, 1 in decreasing order.\nAnswer: 54, 51, 13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort -181, 2\/7, 0.3 in descending order.\nAnswer: 0.3, 2\/7, -181","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -23 - -413?\nAnswer: 3d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*n - 5 - 7. Let x = 30 - 20. Let q = x - n. Is 2 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3508 + 16787. Is m a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**3 - 6*q**2 - 6*q - 19. Give w(-4).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*r**2 + 11*r**2 - 5*r**2)*(3*r + 5*r - 5*r)*(-r - 4 + 4).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 41 + -47. Let g(y) = -9*y - 7. Calculate the remainder when 88 is divided by g(o).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 1:31 PM?\nAnswer: 12:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y\/(y*y*y**(-3)\/y)*y)**(-32)\/(y**(-10)*y\/y**15) assuming y is positive.\nAnswer: y**(-104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 2*-60\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 135520 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 + 3*a**2 - 2. Let q be m(3). Suppose q = 8*w - 6*w. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -2*p**2. Suppose 12 = -3*o, -4*o = 4*q + o + 20. Suppose -2*f + 6 = -q*f. Let i(u) = -f*u + u + 0*u. What is i(t(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14324 is divided by 684.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -46854187 to the nearest 1000000.\nAnswer: -47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 4:39 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - 11. Let c be 4\/6*d\/12. Suppose -3*n + 2 = n + 2*i, 3*n - i + 6 = 0. Is n != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-680684)\/12)\/(1\/75). Let j = n - -893402497\/210. Let b = -27\/35 + j. Calculate the common denominator of b and 32\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*d**3 - 6*d**4 + 4*d**3 + (4*d**2 + 0*d**2 - 6*d**2)*(4*d**2 + 4*d**2 + 8*d**2) as o*d**4 + y + g*d**3 + x*d**2 + f*d and give o.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zkk when three letters picked without replacement from vvzkzzkzk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 m when two letters picked without replacement from mmcmvvmcrmrmrrrmrcrv.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 1242 divide 22069098?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 6127, -3, 5 in increasing order.\nAnswer: -3, 3, 5, 6127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 - (-3)\/((-3)\/2). Let q(l) = l + 65. Let m be q(w). Suppose -4*j = -j + 2*d - m, -4*d - 100 = -4*j. What are the prime factors of j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*y**2 - 2*y**2 + 3*y**2)*(-151251*y + 3170*y**3 + 1928*y**3 + 151251*y).\nAnswer: -10196*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -1110110111111001000000 (base 2) to base 7.\nAnswer: -45066120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -w**4 + 727*w - 13 - 724*w - 35080*w**2 + 35081*w**2 + 9*w**3 in the form x + h*w**2 + j*w**3 + u*w + t*w**4 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41 - -40.99999897. What is t rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2699010 times -0.5?\nAnswer: 1349505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(150)\/(sqrt(45) + sqrt(1125)))\/((sqrt(100)*-2*6)\/(sqrt(70)\/(sqrt(7) - (sqrt(7) + sqrt(28)) - sqrt(7)))).\nAnswer: -sqrt(3)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/3, -6, 2, -0.029, 0.5 in decreasing order.\nAnswer: 2, 2\/3, 0.5, -0.029, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be 66\/10 + 2\/5. Let n = 3 - y. Suppose 75*m = -2*m - 6*m. Sort n, m, -3 in decreasing order.\nAnswer: m, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1 + 10123101121023?\nAnswer: 10123101121022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -552 or -607?\nAnswer: -552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 3c312 (base 15) to base 6\nAnswer: 4045455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 343018 and 63.\nAnswer: 21610134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 528 and 1603096.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 4, d: 3, g: 2, w: 2, b: 1, v: 2}. Give prob of sequence awg.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 1837818 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 22 and 7320.\nAnswer: 80520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzzzzzzwzzw. What is prob of sequence zzww?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be 783\/(-29)*(-3)\/(9\/28). What is the greatest common divisor of s and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -11\/929699 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.09 - -4.91. Let a = -0.3 + 0. Let o = -2 + 1. Put o, a, n in descending order.\nAnswer: n, a, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 368 - 4*t + 4*t + t**2 - 361 to the form z*t + l + m*t**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -4*p - 35. Let c(i) = -i**3 - 8*i**2 - 9*i + 9. Let l be c(p). Factor 4*w**4 - 23 + 3*w**3 + l - 10*w**4 + 3*w**5.\nAnswer: 3*w**3*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 401888, 9, 3 in descending order.\nAnswer: 401888, 9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2508\/757 at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 15261 = -120*p + 115*p, -2*d - 9154 = -3*p. Calculate the greatest common factor of 8 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2 + -20220111122021?\nAnswer: -20220111122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19 and 4461523.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 976738.4 nanograms?\nAnswer: 0.0000009767384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:23 PM and 1:51 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 + 29*m**2 - 20*m - 100. Give p(28).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) -4 (b) 0.13 (c) 1 (d) 2 (e) 2\/17 (f) 147 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -58942*o**3*t - 129*o**2*t + 10*o - 2*t wrt o.\nAnswer: -353652*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 106 = 146. Let z be c\/16 - 3\/(-2). Determine s, given that -z*s**3 + 7*s + 27\/4*s**4 - 2 - 9\/2*s**2 = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 126 = -0*u. Let j = u - 105. Let f(a) = -51 + a + j + 27. What is f(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -199*u + 2. Let d be z(-2). Let g be ((-2)\/4)\/((-4)\/d). Let t be g\/2 - 5\/5. Solve r - 5*n = t, 4*r + n + 4 = 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*y + 3*m - 23, y - 5*y - m = -13. What is the second derivative of -9*f**4 + y*f - f + 13*f**4 wrt f?\nAnswer: 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 278194.014 seconds in weeks?\nAnswer: 0.459976875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-4003996)\/22 - 6\/33. What is v rounded to the nearest 10000?\nAnswer: -180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -15b - 2dd3b?\nAnswer: -2de97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 190518029 or 190518028?\nAnswer: 190518028","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mttm when four letters picked without replacement from tmttgmmmmgmt?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 40866 and 7572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -209, 1, -3\/8 in increasing order.\nAnswer: -209, -3\/8, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 162.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0, -5, -16416, 156, 1, 4 in descending order.\nAnswer: 156, 4, 1, 0, -1, -5, -16416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j + 192 = -3*x, -1 = -2*j - 3. Let q be x\/(-27) + (-2)\/6. Solve -2*o + 3 = -o + m, q*m - 6 = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) be the second derivative of 3\/20*o**5 - 12*o - 8*o**3 - 1\/2*o**4 - 9 + 48*o**2. What is d in z(d) = 0?\nAnswer: -4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 2 - 6481?\nAnswer: -647b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 332 - 188. Let c = 28 - 10. Calculate the highest common factor of s and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/(6*7\/84)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2558533\/421827 + 2278\/379. Calculate the common denominator of r and -55\/1113.\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:55 PM and 11:48 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is (26339\/2)\/(2\/((-198)\/(-27)*6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2870 - 1678 = 3*i + 2*u, -i + 2*u = 1532. Is i smaller than -1518?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (716\/(-6802))\/((-6)\/1083).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 80768026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/1)\/(77\/14).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 796538349 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 360 and 270.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -4, 57, 4, 1 in decreasing order.\nAnswer: 57, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 4*p + 1 - 1. Let l(y) = -27*y - 11. Let o(j) = 13*j + 5. Let k(v) = 4*l(v) + 9*o(v). What is 2*k(x) - 5*r(x)?\nAnswer: -2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llftlffnlnll. Give prob of picking 1 n and 1 f.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -2*w**3 + 56*w**2 + 60*w + 35. Calculate the remainder when h(29) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 22 - 22.06. What is the second biggest value in -3\/5, i, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -73 - (114 + -156) - -56\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7073724 is divided by 11157?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3.236 + -3.2. Let w = -4.236 + m. Let n = 4.5 + w. Which is the nearest to -0.2? (a) n (b) 2\/9 (c) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1008) + (sqrt(1008) - 1*sqrt(1008)))\/(3*sqrt(484)))**2.\nAnswer: 28\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wnnn when four letters picked without replacement from {w: 1, n: 18}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-4) + (3 - (-45)\/10). Round l to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.2*9.4\nAnswer: 1.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 18 - 32. Let n = o + 14.2. Sort n, -2, -1 in descending order.\nAnswer: n, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*a + 2*t - 0*t + 3, 3*a - 4*t = -1. Let y be 24*(a\/(-1))\/(-1). Is y + 3\/9*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/11, -1\/4, -90, -21, 2, -0.1.\nAnswer: -90, -21, -1\/4, -0.1, 2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that 2*n**2\/11 - 232*n\/11 + 6728\/11 = 0.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ia when two letters picked without replacement from {a: 4, i: 8, c: 1, v: 2}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:50 PM and 2:31 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/50 of a milligram in nanograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6305619?\nAnswer: 3, 2101873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4\/1855 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be 210\/(-63)*168\/(-10). Let f be (-1)\/6 + 3362\/12. What is the greatest common factor of d and f?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 220 - 2187.86867409?\nAnswer: -1967.86867409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/(-1))\/(3\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 2, i: 1, d: 1, q: 1, f: 2, x: 2}. Give prob of sequence xdx.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*f + 3*f + 2*f)*(2*f - f + 2*f).\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -2.3 bigger than 18.662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -55 (base 9) to base 11.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -31 - -11. Let a = 112 - 79. Let p = a + x. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1623 - 1624. Are 2\/657 and i non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34394205 is divided by 976.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 288413201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -4, 61, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) be the second derivative of y**8\/6720 + y**7\/1260 + y**6\/720 - y**4\/12 - y. Let p(m) be the third derivative of u(m). Factor p(l).\nAnswer: l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*h**5\/3 + 4*h**4\/3 - 2*h**3\/3.\nAnswer: -2*h**3*(h - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1994.9 + -1995. What is the nearest to t in -7, 4, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -8367 divided by -2\nAnswer: 8367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**3 - 14*j**2 - 69*j + 968. Let k be r(14). Solve 5*n = 2*v + 270 - 289, -5*v + k*n = -37 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i + 3. Let v(a) = -1457*a - 12. Determine -4*c(u) - v(u).\nAnswer: 1453*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kuaw when four letters picked without replacement from hakamwmmwummmwmumu?\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 437130 is divided by 27308?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 6 or 156\/25?\nAnswer: 156\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1185 = -0*l + 5*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*t + 6 - 5 - 1.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**3 - 7. Let h be j(0). Let c = h + 9. Let v(u) = u**c + 3*u + 0*u**2 - 5 + 1 - 4*u. Determine v(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 19, -1\/9, -0.25, -6, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t - 4252*q = -4254*q + 15, 2*t + 33*q + 10 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-24)\/(((-5049)\/(-132))\/51).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-80)\/3)\/(((-882)\/(-252)*(-8)\/(-14))\/3).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = -115137*b + 805941. What is x(7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = r + 1. Let v be (-4)\/(-53 - -55 - (2 - -1)*2). Let k(y) = 30*y - 2. Calculate v*k(f) + 3*z(f).\nAnswer: 33*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(8\/7))\/k*k*k**(1\/12) assuming k is positive.\nAnswer: k**(-5\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -89729116 divided by 3?\nAnswer: -89729116\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence by when two letters picked without replacement from {y: 1, b: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + 2*6*sqrt(448)*-2*-4)**2.\nAnswer: -4608*sqrt(7) + 4128777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 144?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 6510*w**2. Let i(p) = -19*p. What is h(i(u))?\nAnswer: 2350110*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from pddmdbdbcpipbmd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11984, 46034, 102794, 182264, 284444, 409334?\nAnswer: 556934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = j**2 - 82*j - 352. Calculate t(86).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1.93 + -0.07. Let f = -3 - -2.8. Let t be (-891)\/810 + (-13)\/(-5). Which is the biggest value? (a) x (b) t (c) f (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 47 = -3*a. Suppose 0 = -13*b + a*b - 350. Does 14 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 18 = -5*o, -2*o - 2*h = -2 - 6. Let k be (-33)\/18 - o\/12. Let y = 3 - k. Solve -2*z + 10 = -2*r, 0 = r - y*r - 5*z + 16 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -4*m**2 + 5*m - 32. Let s(q) = 8*q**2 - 11*q + 61. Let o(j) = 7*f(j) + 4*s(j). What are the prime factors of o(12)?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**3 + z**2 - z + 9. What are the prime factors of p(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 503 minutes after 4:25 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be 2688\/1372 - 60\/(-1470). Let -5\/2*w**d + 1\/2*w**3 + 125\/2 - 25\/2*w = 0. Calculate w.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14 + 368*z + 47 - 369*z)*(-4*z - 98*z - 43*z - 60*z + 5*z).\nAnswer: 200*z**2 - 6600*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.19 - -1.21. Let q = y + 3. Let t be (48\/(-36))\/(-15 + (-473)\/(-33)). Which is the closest to q? (a) 1\/5 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/(-3))\/((-10)\/492). Let x = 33 - g. Put x, -3, -0.3 in increasing order.\nAnswer: -3, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4037*d**3*w**2 - 1306212*d**3 - 10*d**2*w**3 with respect to w.\nAnswer: -8074*d**3*w - 30*d**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -10 + (-11 - -27 - 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -41341871 - 6?\nAnswer: -41341877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 197 = -0*n + 2*n + 5*s, 4 = -4*s. Let r = -4 + 7. Suppose l + 4*l = -r*f + n, 5*l - 3*f = 119. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/1607 greater than 150?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 213 and 41109?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((-42)\/420)\/((-6)\/40)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/39037576 and 15\/172.\nAnswer: 1678615768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -21*t - 66. Let n be k(-3). Is n less than 0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u**3 - 282*u**2 + 26508*u - 830584 = 0. What is u?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = -20721745 - 131695020. Let f = o - -152416937.000069. Let u = 172 - f. What is u rounded to five dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 813 and 3452811?\nAnswer: 813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2040 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 286 minutes before 11:39 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*a - 5*a + 3*l - 1 = 0, 5*a - 2*l + 4 = 0. Let t be ((-14)\/(-8) + a)\/(2\/(-16)). Let f = 2 + 1. Solve -5*v + 0*v = -t*c - 5, 0 = -3*v + 3*c + f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cddcqnrdzcddnqnczcd. Give prob of sequence zq.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1533 + -183959\/120. Let r(m) be the third derivative of 0*m + 2*m**2 + 0 + 0*m**5 - 1\/2*m**3 + w*m**6 + 0*m**4. Differentiate r(u) wrt u.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i = 5*l + 15, -86*i + 11 = -85*i - 3*l for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -216*u**2 - 269444 + 217*u**2 - u**3 - 4*u**3.\nAnswer: -5*u**3 + u**2 - 269444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -2287234 > -2287114?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 175014, 174926, 174684, 174210, 173426, 172254, 170616?\nAnswer: 168434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 0*d = -156. Is (-2)\/(-5) - d\/(-20) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36\/5 + 6\/5*u + 2\/5*u**4 - 14\/5*u**3 + 26\/5*u**2 = 0. Calculate u.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) be the second derivative of 1\/4*j**4 + 31\/30*j**6 + 0*j**5 + 0 + 0*j**3 - 30*j + 0*j**2. What is the third derivative of t(g) wrt g?\nAnswer: 744*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 185 is divided by 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 + -9 - 13 - 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*b + 98558 = 3612. Calculate the smallest common multiple of 14 and b.\nAnswer: 22918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*b**2 - 9350*b - 330120.\nAnswer: -5*(b + 36)*(b + 1834)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*f + 4*f - 170. Let m = f + 50. Let b = 37 - m. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47058702727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.11 and -123360134.\nAnswer: -123360134.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(9) + 1*sqrt(81))\/(sqrt(3) + (-2*1*sqrt(3) - sqrt(3)) + sqrt(3)) + 0)**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**3 + 4*r**2 - 4*r + 3. Suppose 4 = 2*s - 4*s. Let g be ((-1)\/1 - s)*-5. Calculate k(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 2057 = 5*g - 5*d, 0 = -4*g - 2*d + 1640. Does 53 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 54 divided by 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.074 - -0.0588.\nAnswer: -0.0152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -135 + 3*u + 114 + 5*u + u. Let a be w(3). What is the greatest common divisor of a and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2522 (base 6) in base 5?\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 1080 + -1080. Let p be 6\/(-4)*(-8)\/3. Suppose -4*x + u = p, -x = -4*h + 35200001. Round h to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00181 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 5) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -249, -960, -2145, -3804, -5937, -8544?\nAnswer: -11625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 8, 7, -1, 449, 0 in descending order.\nAnswer: 449, 8, 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k = -8*k + 60. Suppose -2*a = -i - 6, -3*a - 5*i = -k - 5. Suppose a*y + 2*q = 180, 5*y + 3*q - 4*q - 165 = 0. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*q = -65*q + 23826. Is q a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -493*t - 1. Let i be r(0). Which is the third smallest value? (a) -465 (b) -4 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1521*b + 52*b**3 + 1521*b + (3*b - b + 0*b)*(0 + 2*b**2 + 0) to t*b**2 + k*b**3 + i*b + o and give k.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 5*l**3 + 79*l**2 + 20*l + 23. Calculate g(-15).\nAnswer: 623","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1032816345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/j**(1\/8))\/j**(-2))\/(j**(1\/4)*j**(-1)))\/(((j**(-5)\/j*j)\/(j\/(j*j**5)))\/(j**6\/(j*j**(3\/7)\/j))) assuming j is positive.\nAnswer: j**(515\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = -668 - -980. Is 6\/(-4)*q\/(-18) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-196)\/42)\/(-14)*6\/4*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is (1 - 6\/(-3))\/((-720)\/(-174590160)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 198797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 5 + 1)*(20*q - 45*q + 28*q + 7*q**2) + 2*q - 2*q + q**2 + 2*q.\nAnswer: -13*q**2 - 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 401319 divided by -1\nAnswer: -401319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from mmmmywwmmmemcmmmgwmw.\nAnswer: 11\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 11*c**3 - c**2 + 3*c - 2. Give x(2).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 40.87424 grams?\nAnswer: 0.04087424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/3 in -0.0476, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.6 in -0.4, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 434 - 1677?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -18 divided by -1\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = -440*r + 8362. Let s be h(19). Let f(c) = -4*c**2 + 19*c. Let z(a) = 21*a**2 - 95*a + 1. What is s*z(o) + 11*f(o)?\nAnswer: -2*o**2 + 19*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hzz when three letters picked without replacement from {g: 7, y: 1, r: 2, x: 3, z: 5, h: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2871.\nAnswer: 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a + 414 + 968. List the prime factors of a.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x + x - 510. Suppose 5*d - x = 20. What is the units digit of (1 - -1) + 0\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5908.\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 20239362217 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 773924 and 872.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {k: 2, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a day in minutes?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) be the first derivative of d**5\/25 + 2*d**4 + 40*d**3 + 400*d**2 + 41*d + 12. Let r(m) be the first derivative of o(m). Determine i so that r(i) = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + -1 + sqrt(99) + 3 - (-4 + sqrt(275) + sqrt(275) + 0 + 5)**2.\nAnswer: -1098 - 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 45980?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11663902?\nAnswer: 2, 5831951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -190117, -190118, -190119, -190120?\nAnswer: -190121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/(-21))\/((-409)\/818)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) be the third derivative of o**7\/2520 + o**6\/144 - o**5\/12 + 14*o**2. Let l(y) be the third derivative of g(y). What is l(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -76, -143, -210?\n\"Answer: -67*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 4*b + 3. Let l = 952 - 955. Let c(z) = -5*z - 3. Give l*g(y) - 2*c(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*j, 0 = -3*n - 2*j + 12 + 3. Let s(k) = 4*k + n - 2 - 2*k + 6*k. Let b be s(1). Solve -o + 4 = b for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:13 PM and 7:37 AM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 14 - (9 - (-15 + 9))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x - 3*x + x.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 0 != 9\/10819?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 3*n**3 + 1 + (-5 - 8*n**3 + 5)*(1 + 1 + 0) to the form u*n**3 + a*n + c + m*n**2 and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 11979 and 792?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*i - 5*i + 5*i)*(10*i - 8*i + 8*i) + 120 + 7*i**2 + i**2 - 6*i**2.\nAnswer: -18*i**2 + 120","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 3*c. Let n(f) be the second derivative of -7*f**5\/60 + 5*f**2 + 65*f. Let t(a) be the first derivative of n(a). What is t(h(u))?\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -0.2, -4\/53, -1\/2, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(77) + sqrt(77))*4)\/sqrt(11)*-3.\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 2409 and 24?\nAnswer: 19272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 10*t - 1120 = 0. Suppose 5*k = 2*w - 64, -w - 2*k + t = 3*w. Calculate the lowest common multiple of w and 20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/2 of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 divided by 9.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 10001101100011100010 (base 2) to base 15\nAnswer: b6be0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1\/2, -36, -1\/5, 67, -4.\nAnswer: -36, -5, -4, -1\/5, 1\/2, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -332*c**2 + 619*c + 4319. Let i(v) = -464*v**2 + 928*v + 6478. Let t(p) = 7*b(p) - 5*i(p). Find the first derivative of t(n) wrt n.\nAnswer: -8*n - 307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 324 - 26*m**2 - 2*m**2 - 331.\nAnswer: -28*m**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = 0 - 2*y + 3*y - 1. Let u(l) be the second derivative of l**4\/12 - l**3\/3 + 5*l**2\/2 + 3*l. Give 4*r(w) + u(w).\nAnswer: w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24*8\/216*(-6)\/8.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 189? (a) 0 (b) -0.5 (c) 3\/8 (d) 0.21 (e) 2.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 34455 and 3885?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-2)\/(-4)*(1 + 15). Solve -5*r = 3*f + 11 + 3, 2*f + a = -2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is eight sevenths of a week in days?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 456*l + 84. Let g(y) = 3*y**2. Give a(g(z)).\nAnswer: 1368*z**2 + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c**2 + 29320*c + 58660 = 0 for c.\nAnswer: -2, 5866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 7139*t = -3*m + 7134*t + 31, 2*m - 14 = -2*t for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - (-19 + 23)) + (0 - (3 + -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1993057051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 20 or 170?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(21) + sqrt(1701)) - -4*sqrt(1344))\/(6*-3*1*sqrt(175)).\nAnswer: -7*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:26 AM and 12:53 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 6622.49ng in kilograms?\nAnswer: 0.00000000662249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = -31 + 107. Differentiate 8*c**3 + 1350 + y*c**3 - 1362 wrt c.\nAnswer: 252*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 341329 is divided by 1497?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z = 90.9 + -83.912. What is z rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -6*d + 52. Let y be r(8). Let q be 1\/34*y - (-832)\/442. Solve -b - 2*l + 1 = l, -2*b + 6 = q*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (3\/6)\/(2\/8). Let b = i + -5. Which is bigger: -2 or b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*i - 1688 - 1519 + 3011 - i.\nAnswer: 3*i - 196","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:33 PM and 9:17 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 10*m - 1. Let n(a) = -15*a - 1 - 6 + 18 - 6 - 3. Let v = -5 - 0. What is v*n(z) - 8*f(z)?\nAnswer: -5*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 11678 divided by -5079?\nAnswer: -11678\/5079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3063 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.7108 rounded to three decimal places?\nAnswer: -0.711","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1136*0.3\nAnswer: 340.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00009632653 rounded to 6 decimal places?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -5 - -1 - (32 - 31).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = o**3 - 2*o**2 - 3365*o - 16757. Calculate l(-5).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 92960 is divided by 4467?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -88*y = -85*y - 50 + 2 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**2 - 6*z - 4. Let k(b) = 2*b**2 + 11*b + 7. Let p(a) = 7*h(a) + 4*k(a). Suppose 4275*y - 12180 = 4268*y. Let m = -1741 + y. Give p(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3554.539968 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 166559 divided by -1\nAnswer: -166559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -840, -1694, -2580, -3510, -4496, -5550, -6684?\nAnswer: -7910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -51 - -1 - (7 - (62 - 38))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1221 + i + 1222 - 2443.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, j: 2, i: 2, b: 1}. Give prob of picking 2 i.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -34*c + 31*c + 9. Solve -5*j + c = -12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -21, -31, -39, -39, -25, 9?\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 736 - 205. Let o = k - -100. What is the hundreds digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**3 - 24*k**2 + 451*k + 7262. Determine u(-31).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v = 17 + 173. Let j = v + -187. Solve 4*o - 5 = -2*g + 5, g = j*o - 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 482 and 3.\nAnswer: 1446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -9\/94 - -511\/1410. Which is the closest to -2\/81? (a) 2 (b) 0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 59827 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 188772530731 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {e: 7, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 110391?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g be (9\/(-15) + 1)*-10. Let q(u) be the second derivative of -1\/3*u**4 - 1\/3*u**3 - 2*u - 1\/20*u**5 + 0 - u**2. What is q(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -2.1 + 2.1. Which is the fourth smallest value? (a) 34 (b) k (c) -1\/3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -23 + 39 - 20 - (11 - 0)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 327650, 327600, 327554, 327512, 327474, 327440, 327410?\n\"Answer: 2*l**2 - 56*l + 327704","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 0.0571447ng?\nAnswer: 0.0000000000571447","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -10, 9, 6, 2, 5 in decreasing order.\nAnswer: 9, 6, 5, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 469974 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n = -34\/15 - -13\/5. What is the nearest to 1\/4 in -2, n, 0.1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 516 is divided by 52?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-3)\/2 - (-7)\/(-2). Let l = -2 - i. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*k*t**3*z + 4101*k*t**3 + 529*t**3*z - 48*z wrt k?\nAnswer: -2*t**3*z + 4101*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 654409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 0*k**2 + 4*k**2 - 3*k**2. Let q(v) = 14*v + 8. Let i(f) = -5*f - 3. Let d(r) = 8*i(r) + 3*q(r). Determine d(s(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 47546 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 415*a - 12*a**2 + 24*a**2 - 416*a + 17*a**2 - 2 to the form k + h*a**2 + f*a and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (162\/(-9))\/((-1089)\/1573).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 + -11.9. Let i = -10.9 - 1.1. Let f = -12.3 - i. Which is the closest to -1\/2? (a) -3 (b) r (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -23?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + sqrt(275))*-6 + sqrt(275)*1*5 + 4)**2.\nAnswer: -40*sqrt(11) + 291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 1, -10, -1.\nAnswer: -10, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -6 - ((-93 - -67) + (-2 - 0) + 3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*a**2 - 81 + 162 - 83 - 10*a + (a + 0*a - 2*a)*(-a + 4 - 4).\nAnswer: 4*a**2 - 10*a - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -3314 (base 5) to base 16\nAnswer: -1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 3\/6 + (-27)\/(-6). Suppose d*r + 5*g = 45, -2*r = 5*g - 1 - 2. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -116 divided by -58?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 q when two letters picked without replacement from eeoqqzg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (20*(-4)\/50)\/(8*1\/(-30))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -521 - -8?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*w = 80 + 860. Suppose -2*l - 7 = -2*g - 29, -3*g - w = -4*l. Solve y + 3 = -u + 9, 5*u + y - l = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.06 and 2948528.\nAnswer: 176911.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 0.88 - 11859\nAnswer: -11858.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = -17 - -22. Solve -v*g = -g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 157050 is divided by 94?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-702)\/1134 - ((-10)\/(-6) - 2). Which is the closest to 4? (a) 4\/5 (b) -3 (c) l (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 10105 + -3672. Calculate the greatest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 974 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.06, 1, -5\/7, -1\/3, -2 in ascending order.\nAnswer: -2, -5\/7, -1\/3, -0.06, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2 + 3. Let z = n - -6. Let s be 32\/(-156)*(-9)\/12. What is the third smallest value in -0.4, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -39*-15\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 6944871262 to the power of 1\/3, to the nearest integer?\nAnswer: 1908","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 2 bigger than 1103314?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12434674 and 511?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4 + -2. Let a(t) be the second derivative of 0*t**3 + 2*t + 0 + 0*t**v - 1\/12*t**4. Solve a(b) = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -h**4 - 646*h**3 + 649*h**2 + 1294*h.\nAnswer: -h*(h - 2)*(h + 1)*(h + 647)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = -5*t**2 + 11*t - 45. Let l(q) = q**2 - 2*q + 9. Give -2*k(u) - 11*l(u).\nAnswer: -u**2 - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2.016 + -1.86. Let x = p - 1.395. Round x to one dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (u + 2*u - 2*u)*(2*u + u - u) + 2*u**2 - 4*u**2 + u**2 + 407*u**2 - 89*u**2 + 28*u**2.\nAnswer: 347*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36 + 11696*m + 0 - 36.\nAnswer: 11696*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.1*0.063.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let -4*g**4\/7 + 4*g**3\/7 + 48*g**2\/7 + 16*g\/7 - 64\/7 = 0. Calculate g.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 279*y**2 + 2*y - 17. Let f(p) = -142*p**2 - p + 8. Determine -6*a(u) - 13*f(u).\nAnswer: 172*u**2 + u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i**2 - 70*i + 1230. Let z be y(34). Solve -r + 98*u = 100*u + 2, 3*u = -2*r - z for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 135911?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 79\/10 and 3 + (-4 - 90\/(-174))?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 547204248 a multiple of 2349?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -7b (base 15) to base 14\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 18 (b) -5 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a = -4*p - 22, -p = 5*a + p - 43. Let w be a\/6*(-50)\/(-15). Suppose -w*g + 268 + 7 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 - 5) + -290 + 367.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -7 - 4*p - 38*p**3 + 4*p + 43*p**3 wrt p?\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -375, -632, -889?\nAnswer: -1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rkrkrkkkrksrkrkkkr. Give prob of picking 3 s and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.066 + -0.467. Let g = -3.533 - f. What is the biggest value in g, -11, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**3 - s - 2. Let t be c(-4). Let k = t + 95. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 - (3 + 3) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = 7*l**2 - l + 3. Let q(d) = 6*d**2 - 2*d + 3. Let c(a) = 5*b(a) - 6*q(a). Determine c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = -5*z, 5*z + 23 + 5 = g. Solve -5*w + 8 - g = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 11024 divided by -2756\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -182206362 or -182206361?\nAnswer: -182206361","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -11.79*-0.08\nAnswer: 0.9432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 5628020, 5627966, 5627922, 5627894, 5627888, 5627910, 5627966, 5628062?\n\"Answer: i**3 - i**2 - 58*i + 5628078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**3 - 53*r**2 - 197*r - 46. Let g be q(-49). Let y be (1\/(-2))\/(1\/(-28)). What is the second derivative of 15*w**3 + 6*w - 12*w**3 - y*w**g wrt w?\nAnswer: -66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 987753?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-12)*(-8)\/2. Suppose 5*m = 38 - 103. Let j be -5 + (m\/(-11) - -4). Is j greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t + 1. Suppose -3*r - 2*r = 2*g + 33, -r - 5*g - 25 = 0. Let d = -2 - r. Give k(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 6, 1238, -3, -4 in increasing order.\nAnswer: -4, -3, 6, 1238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -38740032.\nAnswer: -1\/12913344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be 36\/1*6\/18. Suppose 11*m**2 - 7*m**4 + 13*m**3 - 17*m**5 + 0 - 2*m + s*m**5 - 6*m - 4 = 0. What is m?\nAnswer: -2, -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) be the second derivative of p**3 + 5*p**2\/2 - 5*p. What is the derivative of o(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 308 + -619\/2. Which is the closest to -68? (a) 0.1 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 564034.1l?\nAnswer: 564034100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -2318, -2302, -2262, -2186, -2062?\n\"Answer: 2*v**3 + 2*v - 2322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 58339571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert 63.01321 centuries to decades.\nAnswer: 630.1321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:44 AM and 2:56 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*z - 11*z = 30. What is the greatest common factor of z and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.5*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes before 3:19 PM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -5 (b) 8 (c) 3\/4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 173068750 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 12220202012 + 2?\nAnswer: 12220202020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8950, -17901, -26852?\nAnswer: -35803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 3 (b) 131 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1.18 and 7.0295.\nAnswer: 8.29481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = -6*o**2 - 3*o**2 - 7 + 4*o**2. Let f(i) = -2*i**2 - 3. Let p = -11 - 0. Let m = p - -25. Determine m*f(r) - 6*y(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/(15\/(-10)) + 1 + 25. What is the tens digit of 433 + (-16)\/o + (-68)\/28?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 8\/3*c + 0 - 2\/3*c**4 + 4\/3*c**3 + 14\/3*c**2.\nAnswer: -2*c*(c - 4)*(c + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(2592) - (sqrt(2592) + sqrt(2592) + sqrt(2592)*4) - (-2*sqrt(288) + sqrt(288)))\/((sqrt(600) - sqrt(600)*3 - sqrt(600))*2*4).\nAnswer: 7*sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 c when four letters picked without replacement from bbbcbcccccc?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -641213 + -1?\nAnswer: -641214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 23a5a + -20?\nAnswer: 23a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**3 - r**2 + r. Let v be k(0). Suppose 2*m + v*m + 6 = 0. Let o = 3 + m. Is o greater than or equal to 2\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 8*f + 11*f = 5196, -6933 = -4*v - 5*f. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*x**3 - 84906 - 26*x**3 + 84906.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -17*w**2 - 3*w + 2. Let b(s) = 16*s**2 + 4*s - 3. Let l(v) = -3*b(v) - 4*k(v). Differentiate l(g) with respect to g.\nAnswer: 40*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3 + (sqrt(1300) - 1*sqrt(1300)))*6*-4 + 6*((sqrt(1300) + -4)*5 + sqrt(1300) + -3))**2.\nAnswer: -47520*sqrt(13) + 1689156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2481098 - -0.0115\nAnswer: 2481098.0115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2350657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -3*a + 19. Let k be t(8). Suppose 0 = 4*w - 57 + 81. Sort k, -4, -2, w in decreasing order.\nAnswer: -2, -4, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.01 - -0.41. Let f = -2\/53 + 57\/106. What is the closest to -1 in 5\/4, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 5, 1 in increasing order.\nAnswer: 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j**(-12\/7)\/j*(j**16\/j)\/j*j*j**(-30)\/j**(-1\/13))**(-1\/22) assuming j is positive.\nAnswer: j**(1605\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -u**3 - 8*u**2 - 9*u - 10. Let p = -36 + 29. Let f be m(p). Solve f*i = -3*g + 18 - 4, -5*g = 4*i - 18 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -14704593010 to the nearest 1000000.\nAnswer: -14705000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 41.914358 rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = 3048*o - 4414. Let r(b) = 1534*b - 2207. Let a(f) = 3*k(f) - 5*r(f). Differentiate a(m) wrt m.\nAnswer: 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 285 - 284.99175. What is o rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the seventh smallest value? (a) 0.1 (b) -1.1 (c) -0.2 (d) 3\/4 (e) 4 (f) 3125 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1101 - -111101000001110?\nAnswer: 111101000011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 2, c: 1, i: 2, q: 2, b: 1}. Give prob of picking 2 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 48825, 97634, 146443?\n\"Answer: 48809*p + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18450.\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -6.2 in -2\/7, 0.3, -9, 1\/5, 1122, -0.1?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 2 n, and 1 g when four letters picked without replacement from onnodnondnkkcgonc?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-212)\/954 + 29\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v**3 + 5*v**2 + v - 1. What are the prime factors of s(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 60 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) be the first derivative of -v**3\/3 - 2*v**2 - v + 8. Let s(g) = -g**2 - g. Calculate h(a) - 2*s(a).\nAnswer: a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yddw when four letters picked without replacement from owoddowodoooyoood?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(-5)*g**(-2))**27\/(((g*(g\/(g\/(((g**(-5\/2)\/g)\/g)\/g)*g))\/g*g*g*g)\/g)\/g**(-1\/3))**(2\/15) assuming g is positive.\nAnswer: g**(-1453\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 158048?\nAnswer: 2, 11, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w = 18 + -17.999928. Round w to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16015 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = -i**3 + 5*i**2 - i - 7. Let t be d(6). Calculate the remainder when 41 is divided by (-21)\/t + (-74)\/(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*x - 51059 + 51059 + 3*x**2 + 0*x.\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert -6974 (base 11) to base 8.\nAnswer: -21704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from nborn. What is prob of sequence obr?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f - 1. Let l = -3 - -6. Suppose 11*s - 39 = 82. Suppose 108 - 130 = s*d. Let j(i) = -1. What is d*n(p) + l*j(p)?\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the second derivative of c**4\/36 + 5*c**3\/6 - 8*c**2\/3 + 15*c - 5. Factor r(k).\nAnswer: (k - 1)*(k + 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -2*l**3 + 17*l**2 - 8*l + 3. Let k be o(8). Let u(y) be the first derivative of 3\/2*y**2 - 1 - 1\/3*y**k + 2*y. Calculate u(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 500*(-2)\/2*1440. Round g to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*w + 0*w - 2*w)*(w + 2*w - 2*w) + (-3*w - 113 + 53 + 61)*(-16*w - 17*w + 22*w) to the form s*w**2 + i + v*w and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 3 (base 16) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -a - 15. Let n be g(-5). Let b = 10 + n. Let f = 0.5 - 1.5. What is the closest to b in -3, f, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.67 - 0.17. Let s = 1 - j. Which is the biggest value? (a) s (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 9 - 3*s**2 + 5*s**2 - 2*s - 4*s. Is y(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n + 6. Let r(x) = x + 5. Let d(z) = 3*r(z) - 2*y(z). Let m(g) = 13 - 10 + g + 10 - 14. Give -d(k) - 4*m(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*t + 6364*u = 6368*u, 4*u = 4*t + 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 7447 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -32 - -48. Suppose g = 5*k - 9, 2*k - 182 = -4*t. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -65\/8864 and -61\/6.\nAnswer: 26592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 7878 (b) 3 (c) 0.5 (d) -0.5 (e) -1.3 (f) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.08871 - 4.88871. Is m at least as big as 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 185 divide 13505?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 120258 is divided by 17088?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.178 + -1.682. Let u = s - -1.71. Sort 1, -3, u in increasing order.\nAnswer: -3, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14210398619 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-8)\/44 + (-73)\/22 + 2. Which is the nearest to 0? (a) 0.1 (b) -6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**3 + 6*i**2 + i - 1. Let b(y) be the third derivative of y**5\/30 + 13*y**4\/12 + 19*y**3\/6 - y**2 + 12*y. Let q be b(-12). Give r(q).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 148\/14*(-8)\/((-80)\/35). Find d such that 6 - 56*d - 6*d**5 + q + 4*d**4 + 54*d**3 - 60*d**2 + 5 = 0.\nAnswer: -3, -1, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 5*r - 21. Let p be q(3). Let f be (-1)\/((-1)\/(-54))*p\/18. Is 18 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98.11061 milligrams in micrograms?\nAnswer: 98110.61","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 631*d + 661 + 889 = -7*d - 137*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (2 - 0)*-13 + 1 and (3\/18)\/((-12)\/(-36)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -6, 0.5, 0.3, 140098?\nAnswer: 140098","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*x - 2*x - 4*x)*(-3*x**2 + 2*x**2 - x**2)*(-x**2 + 2*x**2 + 0*x**2).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 3047039741 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -9\/40 and (1958\/528)\/((-10)\/4 + 1).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 2 + 2 = 4*p, 2*p - 2 = -5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 61 a factor of 7509100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -3 (c) 25 (d) -0.027 (e) -1 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 6810, -3, 2\/5, -1\/3, -2\/5 in ascending order.\nAnswer: -3, -2\/5, -1\/3, 2\/5, 6810","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.9 + -0.1. Let b = -6.84 - 0.16. Let d = -12 - b. What is the second smallest value in h, d, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -438, -433, -428, -423, -418?\nAnswer: -413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n*n**(-10))\/n)\/(n**(5\/3)*n))\/(n\/((((n**(1\/4)\/n)\/n)\/n)\/n))**17 assuming n is positive.\nAnswer: n**(-1121\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**3 - 60*r**2 - 377*r - 316. Let o be x(-53). Find b, given that 3*b**o - 6\/5*b**3 - 8\/5*b - 1\/5*b**4 + 0 = 0.\nAnswer: -8, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -127*u**2. Let o(d) = d**2. Calculate g(o(c)).\nAnswer: -127*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -v**3 - v**2 + 2. Let c be n(2). Let f(q) = -q - 5. Let y be f(c). Let t = -3 - -4. What is the nearest to -1\/2 in y, 0.5, t?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-96)\/(-104)*(-377)\/(-58).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -14, -16, -18, -20, -22, -24?\n\"Answer: -2*h - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -1030*p + 505*p**2 + 96*p**2 + 1031*p in the form w*p**2 + a*p + z and give w.\nAnswer: 601","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be -1 + 340\/55 - 6\/33. Suppose -635 - 420 = -q*j. What are the prime factors of j?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -2*b**3 - 6*b**2 + 11*b - 6. What is the tens digit of c(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 36 = 4*f + 27*l - 28*l, -26 = -5*f + 6*l for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Are 1660 and 1676 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l be -8*(2\/(-8) + -4 + 1). Suppose -s + l = -13. Suppose 3*r = 226 - 1. What is the remainder when r is divided by s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-21)\/9 - 2\/3. Let z = f - -1. What is the units digit of z + -3*(-21)\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3497*v - 7328*v + 3766*v.\nAnswer: -65*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w\/(w*w**(5\/4)))\/w)\/w*w**(-2\/3)\/w)**(-32)*((w**(2\/13)\/w)\/(w*w**1*w*w))**43 assuming w is positive.\nAnswer: w**(-1991\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 42, 3, -2, 1.\nAnswer: -2, -1, 1, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*k - 0*k - 174. Let -54*l**3 - 3*l**2 + k*l**3 + 2 - 4*l**2 + 2*l - 1 = 0. Calculate l.\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 10\/(-15) - 16\/(-6). Suppose 0 = -f*w + 9 + 17. 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 hundreds digit of 7571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 393967331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -201 - -289. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 983.275um?\nAnswer: 0.983275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1.1 (b) 4 (c) 2\/295\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -527*d**2 - 192*d + 1085*d**2 + 47*d - 529*d**2 - 2384 - 8084 wrt d?\nAnswer: 58*d - 145","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*c - 14 - 21. Let u(z) = c + z + 7 - 12. Let o(l) = 5*l + 9. Calculate 4*o(j) - 18*u(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = -34*l**3 + 2*l**2 + 4*l + 53. What is the tens digit of t(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (458\/(-5038))\/(6*(-10)\/88)\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the third derivative of 0*z**5 + 1\/8*z**4 + 0*z + 34*z**2 - 1\/3*z**3 - 1\/120*z**6 + 0. Let c(k) = 0. Calculate k.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaag when four letters picked without replacement from {g: 6, a: 5}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -b - -195?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -137*k**2 + 7*k**3 + 5*k**5 - 127*k + 58*k**2 + 129*k wrt k?\nAnswer: 300*k**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 21 - 18. Let w be (-40)\/(6\/g*(0 + -1)). Calculate the greatest common factor of 320 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from sssssszszss?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6\/(-2)*9\/(-27). Suppose -n + 5*n + 512 = 0. Is (n\/20)\/(m\/(-5)) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -3425 (base 6) to base 12\nAnswer: -575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 12, 9, 23, 121 in decreasing order.\nAnswer: 121, 23, 12, 9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - -5. Suppose -5*y - 4*x = -98, 0*y = 5*y + x - 92. What is the highest common factor of y and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 2*h + 5*z, 4*h + 0 - 10 = -5*z. Let t(s) = -s**2 - 7*s + 17. Let r be t(-9). Put r, 3, h in increasing order.\nAnswer: r, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53734971*p**3 - 26867497*p**3 - 26867471*p**3.\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = -35841 + 35841.1. What is the second biggest value in -0.4, y, 400?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 3, -22, 2837 in ascending order.\nAnswer: -22, -3, 3, 2837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 487460 (base 11) in base 7?\nAnswer: 6361252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 558749 and 233746.\nAnswer: 1601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 n when two letters picked without replacement from nvnp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -10 + 28. What is the third derivative of -b*i**3 + 18*i**3 + i**4 + 10*i**2 wrt i?\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 62 is divided by 26?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 2.426449nm in meters?\nAnswer: 0.000000002426449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -1174778157+-9.9005\nAnswer: -1174778166.9005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(-2\/9)*(o*(o**(-3)*o)\/o)\/o)\/(o**(1\/5)\/(o\/(o**(-1)\/o)))*(o**(-1\/6)\/(o**(-7)\/o*o))**12 assuming o is positive.\nAnswer: o**(3716\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18655.\nAnswer: 5, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 1592589*y = 1592888*y + 897 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f - 2. Let q(n) = -n**2 + 10*n - 20. Let p(a) = q(a) - 10*s(a). Let b(z) = -4975*z. Give p(b(w)).\nAnswer: -24750625*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 4*l**3 + 5*l**2 + l - 1. Let p(h) = -h**3 - 10*h**2 + 104*h + 124. Let z be p(-16). Let u(i) = -3*i**3 - 5*i**2 - i + 1. Give z*q(d) - 5*u(d).\nAnswer: -d**3 + 5*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 929525.4 millilitres to litres.\nAnswer: 929.5254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ryzk when four letters picked without replacement from zprpkyzzykrjzrrrrryz?\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 104245062 to the power of 1\/2, to the nearest integer?\nAnswer: 10210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = -61708 - -61712. Let q = -6.4 + 8. What is the nearest to q in x, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**3 - t + 6. Let r be m(-3). Suppose 3*s - 189 = -r. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - -7 - (-7 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1926 + -1989 - (-4 - -1).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 - 5*k**2. Suppose -3*u - 3*c - 19 = 5, 3*u - c + 24 = 0. Let w(h) = -h**2 - 8*h - 6. Let o be w(u). Is q(o) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 4 - 6 = 0. Let g(v) = -z*v + 0*v**2 - v**2 + v + 2*v**2 - 3. Calculate g(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4 + 4.2. Let s = 0.4 - k. Which is the biggest value? (a) 4 (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:53 PM and 9:56 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 317*a - 3447 - 2753 = 193*a for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4068 and 10170.\nAnswer: 20340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 e when three letters picked without replacement from yeyyyyyeeyyyyy?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3935014 is divided by 357728?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 4*o - 3*o. Let q = 15 + -11. Is 1 + 4 + q\/o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -373*y. Let x(q) = -14*q**2. What is x(b(g))?\nAnswer: -1947806*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((sqrt(19) - (-5 + sqrt(304) + sqrt(19)))**2 - (2 + sqrt(19) + -4)).\nAnswer: -41*sqrt(19) + 330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 355 minutes after 12:44 AM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 16 - -1. Suppose 2*t + 7 = r. Suppose -5*l + t*v + 1360 = 0, 0*l + 3*v = -4*l + 1109. What is the greatest common divisor of l and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m**(-6)*m*m\/(m**0\/m)*m**(-3)*m*m**(-2\/3) assuming m is positive.\nAnswer: m**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = -3*l**2 + 11*l - 2. Let p be k(3). Solve -p*r + 2*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.129+-2\nAnswer: -1.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (150 - 137) + (-19 - 0) + (-1 - -17)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 581 and 10367.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 851234?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.037949072 - 99.037587072. Let g = 0.106 + -99.106. Let y = z - g. Round y to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 33 + f - 69 + 36.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 8 = 6*r. Does 43 divide 43 + 0*-4*r\/(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -8. Differentiate 6*p**3 + 4 - 4*p**3 - 4 + g with respect to p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -4*d**3 + 225*d**2 - 57*d + 52. Suppose -19712 = 1113*y - 1465*y. Calculate t(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/15 at least -39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 12) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f - 68 = 61*f - 65*f - 4*y, -352 = -8*f + 4*y for f.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (191*p**3 - p + 319*p**3 + 740*p**4 + p**2 - 509*p**3)*(p - 7 + 7) - 3 - 2*p**5 + 3.\nAnswer: 738*p**5 + p**4 + p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -74 * 21\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1239)\/(-15) + (-2)\/(-5). Suppose 3*h - 97 - i = 0. Calculate the greatest common factor of 6 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 640 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 + 2*w**3 + 1511*w**2 - 1514*w**2 + 2*w + 3*w to the form m*w + y*w**3 + j + a*w**2 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 6, f: 12}. What is prob of picking 3 g?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}