diff --git "a/data/dm_maths/full_data/143_11255.jsonl" "b/data/dm_maths/full_data/143_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/143_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: b\"What is the ith term of 224278, 448788, 673532, 898510, 1123722?\n\"Answer: 117*i**2 + 224159*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 + 5*v**2 - 7*v + 11. Let y(t) = t**3 + 5*t**2 - 6*t + 10. Let a(k) = -2*r(k) + 3*y(k). What is a(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -165.949 + 167. Let n = g - -0.129. Let m = n + -1.1621. What is m rounded to three dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160632463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 15, c: 4}. Give prob of picking 2 x.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1906 + -989. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4*(-1 + sqrt(13)) + (sqrt(13) + -1)*6).\nAnswer: -10 + 10*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-37 + 1 + (47 - 51) - -2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655386 is divided by 990?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*b - 124*b = 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10444?\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v + 5. Suppose 3*y = 4*c - 23, -6 = -3*y - 4*c + 11. Let r = y + 1. Determine a(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b**2 - 6*b - 6. Let u(f) = 8*f + 5 + 3*f**2 - 5*f**2 - 5*f + 2*f. Calculate 5*o(n) + 6*u(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -35, 22, -4, 64, -2 in increasing order.\nAnswer: -35, -4, -2, 1, 22, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 0)*(-z**2 + 3*z**2 - z**2) - z**2 - 3 + 3.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + 17. Suppose 5*m - h = -21. Factor 0*c + 0 + 2\/9*c**2 - 2\/9*c**m.\nAnswer: -2*c**2*(c - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 4. Let d = 0.49384 + -0.29384. Which is the closest to d? (a) 7 (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 36297, 72595, 108893?\n\"Answer: 36298*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(5) - ((sqrt(405)*-1)**2 - sqrt(5))).\nAnswer: -405 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q + 4. Let w be l(4). Suppose 0*c - 5*c + 2*c = 0. Solve 5*k - w = -c*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 1994165, -0.7, 3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/(-2))\/(8\/624). Let s = b - 30. Suppose 1323 = s*n + 468. Does 21 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/6 + 68\/24. What is the closest to -2 in p, 0.3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496*-218680.\nAnswer: -108465280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 11*w + 2. Let y be 5\/((-19)\/(-7) - (-17 + 19)). What is b(y)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30036667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -18 + 13 - 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -5*c + 23. Let h be a(4). Solve 0*v + 3*f - 3 = 4*v, -5*v + 3*f - h = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.013*-0.5\nAnswer: 0.0065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p**2 - 5*p + 1. Suppose h + 12 = -2*h. Let x be a(h). Suppose -6*y + y + x = 0. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 13 + 38*z**3 + 3 + 62*z**3.\nAnswer: 100*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -687 - -13318?\nAnswer: 12521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**4 - 27*q**3 - 430*q**2 + 456*q = 0?\nAnswer: -12, 0, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - o - 3, 3*o = 2*z + 5 - 1. Let x(b) = -b**2 + 5*b - 2. Let v be x(4). Let f = -6 - -11. Solve -4*c - v*r = -4, -f*c + r = z + 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 171 (b) -0.1 (c) -0.2 (d) 0.1 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(3564)*5*2 + 5 + -4 + -1 + sqrt(3564))**2.\nAnswer: 431244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-158*t + 201*t - 124*t)*(6*t - 6*t + 4*t) + (-2*t - 3*t + 6*t)*(-t + 5 - 5).\nAnswer: -325*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 4*i = 3, 11*q - 2*i = 16*q + 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31038 is divided by 106.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a - a + 0*a + (2 - 2 - 1)*(1 - a - 1) + (-4*a + 0*a + 6*a)*(-2 + 1 + 0) + 0 + 0 - 2*a - 6 + 6 - 40*a in the form u*a + v and give u.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**2\/7 - 69*r\/7 = 0. What is r?\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 0 = -k + 2*v, -2*k = -v - 9. Let b(u) = 2*u**2 - u + 1. Let q(x) = -168*x**2 - 5*x + 5. Let l(r) = k*b(r) - q(r). Let p(h) = h**2. What is l(p(o))?\nAnswer: 178*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27948 and 3288?\nAnswer: 55896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z - z**2 + (3*z - 7*z + z)*(-3*z + 4*z - 2*z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 0*m - 2*c - 8, -23 = 4*m + 5*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 7 - 8. Let u(g) be the second derivative of -g**5\/120 + 7*g**4\/24 - 7*g**3\/6 + 20*g. Let n(k) be the second derivative of u(k). What is n(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 729 is divided by 494.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -59.981. Let s = h - -0.119. Sort s, 1, -0.4, -1\/4 in decreasing order.\nAnswer: 1, s, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 + 8156045219 - 8156045219.\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(-7)\/(-1400))\/(((-66)\/48)\/11)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -r - r, -3*p - r + 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -u - 1. Let y be ((-1)\/11 - 3) + u. Let w(k) = -k - 2. Let p be w(-3). Is p smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/9, -0.05, 0.05, 0?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/9 - 7*9876\/(-108). Let p = -636 + z. Solve f = -2*v + 1 + 10, 5*v = p*f - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -1. Suppose -y = -3*f - 2*f. Suppose 9 + f = 2*o. Let t(n) = -n + 2. Determine t(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times -0.21966?\nAnswer: 1.0983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.34 + -0.04. Let o = y + 0.2. What is the third biggest value in -4, -2, o?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, y: 2, j: 11}. Give prob of picking 2 z and 1 y.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + (-6 - (-235)\/25). Let h be 2\/4*(-22 + 2). Let g be (4\/h)\/(2\/(-30)). Which is the second smallest value? (a) g (b) o (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l - 54. Let c be p(-22). Let v = c + 10. Let s(r) = -r**3 - 3*r**2 - 2*r**2 + 5*r**2 - r - 13. What is s(v)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuifhufuuuhuuuhuhr. Give prob of sequence uhfu.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2.2568?\nAnswer: -6.2568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 + -0.9. Let k = 7 - 12. Let g = 1.7089 - 1.5089. What is the second biggest value in x, g, 1\/10, k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Let p(l) be the first derivative of -l**3\/3 + l**2\/2 - 1. Let r(i) = 2*i. Calculate a*p(y) - r(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -q**3 - 688*q**2 + 31343*q wrt q.\nAnswer: -6*q - 1376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -521*i**2. Let z(j) = -2*j**2. Calculate z(v(s)).\nAnswer: -542882*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2619)\/16587)\/((-99)\/57)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-4)*40\/(-2*2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(245)*-2*-1)**2*1.\nAnswer: 35280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7134 + -5307. Put 3, x, -2 in increasing order.\nAnswer: -2, 3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*g = 7518762, -g + 7518771 = 4*o - 6*g. Let w = 9645689 - o. What is w rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/345 - 224\/1035. Let n = 141233\/145 + -974. Let j = -601\/1015 + n. What is the smallest value in 4\/11, u, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -12*n - 2*n + n - 6*n - 15*n + 255. Does 13 divide b(-24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2) + 3\/2. Suppose k*q - 97 = 23. Suppose q = 4*u - 12. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 193, 385, 577?\nAnswer: 769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/1*(-72)\/2016. What is the closest to 0.1 in 1, q, -3\/2, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 2*b + 1 + 3, -o + b - 2 = 0. Suppose o = 4*t - 9 - 3. Solve -s - t*s - 8 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of s**4\/4 - s**3 + 7*s**2\/2 - 7*s + 377. Calculate b(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -99*y - 7022. Calculate r(-71).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h + 10*h - l + 4445 = 4460, 2*h = 14*l - 74 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 5*c + 5*c. Let n(q) = -865*q**2 + 406*q**2 + 389*q**2. Determine n(p(o)).\nAnswer: -280*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1713*j**3\/7 + 2233680*j**2\/7 + 93888*j\/7.\nAnswer: -3*j*(j - 1304)*(571*j + 24)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -3*g**2\/2 + 7844. Let v(w) = 2*w**2 - 1046*w + 1. Determine j(v(k)).\nAnswer: -6*k**2 + 3138*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c**2 - 220*c - 30. Calculate the smallest common multiple of r(-8) and 1090.\nAnswer: 1090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, v: 4, a: 8, d: 7}. Give prob of sequence zaa.\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -5140*q - 5183. Determine z(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 783*i**2 - 16092*i + 68580.\nAnswer: -(i - 762)*(i - 15)*(i - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/32, 3, 2, -1.2, -1.6?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 200122211210022101?\nAnswer: -200122211210022021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 8*l - 180. Let i = l - -70. Suppose 9*p - 5 = i. Solve -2*v + v - p = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 8*c**2 - 7*c + 4. Let h be u(7). Factor -2*j + 9*j - 2*j**h - j**2 + 3*j**2 - 3*j - 4*j**3.\nAnswer: -2*j*(j - 1)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 1751a5?\nAnswer: 1751a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -6*s - 5. Let k be b(-2). Suppose k*p + 639 = 6008. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1407030000 rounded to the nearest one hundred thousand?\nAnswer: -1407000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0069 - -0.0569. Sort 68, 2\/9, g in decreasing order.\nAnswer: 68, 2\/9, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of 1\/2*z**2 + 0 + z - z**3. Let b = 2 + -1. Give l(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83644 = -2862*d - 96352 + 71240 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 2*f**2 + 8*f - 5. Suppose -3 = -3*l, 2*r + 5*l = 5*r + 20. Let c(i) = -i**3 - 3*i**2 - 15*i + 9. Let u(w) = r*h(w) - 3*c(w). Factor u(o).\nAnswer: -(o - 1)*(o + 2)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*h + 21*h + 21*h - 77*h + 21*h - 4*h**3 + 54*h**2 to x*h**3 + b + c*h + o*h**2 and give o.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 + 7)*3\/(-2). Let z(y) be the second derivative of 0 - y**2 + 1\/6*y**q - 2*y. What is the first derivative of z(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2625 + 2615. Sort 0.2, a, -0.15 in increasing order.\nAnswer: a, -0.15, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*h + 9 = 0, 17 = -3*u + 5*h - 6*h. Let r be (0 + 15)\/((-3)\/(-3)). Sort r, u, 1, 5 in descending order.\nAnswer: r, 5, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h + h**3 + 73 - 28 - 2*h**2 - 34 as y + r*h**2 + n*h + f*h**3 and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 109*q**2 + 3*q - 3*q.\nAnswer: -109*q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-9)*7\/((-21)\/18)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -111512241 (base 7) to base 5\nAnswer: -3214340432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153*o + 1 = -1 + 2. Solve 0 = m - 5, -2*m + 7 = -3*i - o*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2013, 7436, 16285, 28560, 44261, 63388, 85941?\n\"Answer: 1713*x**2 + 284*x + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 f, and 1 g when three letters picked without replacement from fbgfgok.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f - 2. Let y be b(6). What is the units digit of y - 0 - (-177)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 273?\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -33*y**2. Let s(b) = 2*b**2 - 3. Determine s(g(k)).\nAnswer: 2178*k**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**4\/5 + 2*m**3\/5 - 9*m**2\/5 - 2*m\/5 + 8\/5 = 0 for m.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -31*w**2 - 27. Let z(q) = 31*q**2 + 25. Give -3*y(n) - 4*z(n).\nAnswer: -31*n**2 - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-56) - ((-10)\/(-44 - -4) - 1).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*c = 31*c + 12. Suppose -5*p + c*w = -0*p - 184, 0 = -5*p + 2*w + 182. Does 12 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = b. Suppose 0*t + 2*t - 30 = b. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 - (10 + -15 + 0) - 13.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 1:23 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 13. Let m be (-13)\/(-5) - (12\/(-5) - -3). Suppose 32 = 5*b + 2*x + 4, m*b - 16 = -2*x. Calculate the highest common factor of q and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 274 + 866 = 5*t. Does 15 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/10 - -2)*(-27 + 20 - 80\/(-6))?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64.08221 + -0.12779. Round p to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443702 a multiple of 149?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 18. Let n be s(17). Solve 1 = y + 2*o, -3*y - 5*o - n = -6 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24a45a + 2?\nAnswer: 24a45c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(144\/(-51) + 3). Suppose -q = -y + 5. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 d, and 2 b when four letters picked without replacement from {x: 7, b: 7, d: 4}?\nAnswer: 49\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 206150952 divided by -170232\nAnswer: -1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10742907*m**3 - 22570578 wrt m?\nAnswer: 32228721*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:26 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 - 16. Suppose 0 = -o*p - 307 + 67. Let q be 5\/p*22*-32. What is the highest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -14*s**3 + 2*s**2 + 21*s - 4. Let a(o) = -12*o**3 + 16*o - 3. Let p(l) = -3*a(l) + 2*w(l). Determine p(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 4*o - 6*o)*(6 + 9 - 3) + (0 - 2 + 4)*(2*o - 4 + 4) in the form l*o + j and give l.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105818.\nAnswer: 2, 157, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 294\/15 - (-4)\/10. Suppose 150 = -7*t + 1690. Calculate the highest common divisor of t and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5702 is divided by 1799.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 - 5*v**2 + 3*v + 4. Let s be a(4). Suppose l - 4*l + 12 = s. Suppose -l = -o + 19. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -360*h**3. Let z be v(1). Let x be (z\/27)\/(2\/6). Let p be x*124\/24*-6. What is p rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 + 48\/(-6))*111. Let g(i) = -s - 6*i + 277 + i**2 + 279. Calculate g(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 645909 and 137011?\nAnswer: 4521363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-16)\/(-12) - -8. Let f(p) be the third derivative of -1\/6*p**3 + 0*p + 1\/24*p**n + 0 - 2*p**2. What is the derivative of f(g) wrt g?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 37999*a + 1. Let s(h) = -h**2 - 2*h + 1. Let j be s(0). Let c be x(j). What is c rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 47992741 and -160.8.\nAnswer: 47992580.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h - 4*c - 16, 262*h = 258*h + 2*c + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 20.48156 litres?\nAnswer: 20481.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(5 + 1 + sqrt(125))**2 + (sqrt(125) + (0 + sqrt(125) - sqrt(125)) + -5)*4).\nAnswer: -2958 - 1020*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**3 + 7*k**2 - 3*k. Let v(s) = s**3 + 4*s**2 - s. Calculate 4*h(t) - 7*v(t).\nAnswer: t**3 - 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529 = 23*c - 157*c + 1079 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, x: 7}. Give prob of sequence xiii.\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.335721 millennia in years?\nAnswer: 335.721","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j + 2*j - j)*(2 + 2 - 2) - 2873 + 3001*j - 366*j + 2873.\nAnswer: 2629*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8 + 2)*(-1 - 0). Let t(n) = -11*n + 66. Let f be t(a). Let q = 0.1 + -0.3. What is the third biggest value in f, -2\/5, q?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -49, -98, -171, -274, -413?\n\"Answer: -r**3 - 6*r**2 - 24*r - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -635840701 rounded to the nearest 1000000?\nAnswer: -636000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -25, 18407 = -4*b + b - j. Is -1*b\/8 - 1\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552346?\nAnswer: 2, 776173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 114042?\nAnswer: -114042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6908 and 30301?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 + 2*w - 3. Let k be m(-3). Let h = -3 + 12. Suppose -t + k*t = -h. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4607363 milligrams to tonnes.\nAnswer: 0.0000000004607363","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 + 2*n**2 - 3*n - 4. Suppose 0 = 4*l + 10 - 2. Let y(x) = -7*x**3 - 5*x**2 + 7*x + 9. Determine l*y(u) - 5*j(u).\nAnswer: -u**3 + u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 59 - (-7 + 5 - 1). Solve 29*b + r + 25 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 157850 and 943?\nAnswer: 3630550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 608215?\nAnswer: -608215","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30.9 + 31. Put 0.4, -11, 0, s in descending order.\nAnswer: 0.4, s, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 135*f**2 - 7. Let h(o) = 152*o**2 - 8. Let i(z) = -8*h(z) + 9*r(z). Suppose -3 = -0*c - c. Let n(m) = -7*m**3 + 3*m**2 - 3. Calculate c*i(d) + n(d).\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*l**2 + 4*l - 4*l**3 + 6 - 2 - 31*l**2.\nAnswer: -4*(l - 1)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -65699 and 49392.\nAnswer: -16307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 7:35 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253480*h - 5*t + 33 = 253484*h, -4*t + 20 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2118 - -3055.5. Round t to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -500 at most as big as -1325?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27702711*k**6 - 8232639*k**2 wrt k?\nAnswer: 3324325320*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 237 + -236.01. Let r = 1.0972 - z. Let m = -0.11 + r. What is m rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12378 is divided by 952.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 316681843453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97 or -143.7035?\nAnswer: -143.7035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -37*y - 23. Let g(s) = s. Let a(p) = 2*g(p) - w(p). Is a(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -47141 - -424721\/9. Let c = r - 50. Is c less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627753 to the power of 1\/2, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 620423377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -582.81153 to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-9 - -16)) + -26 - (-4 + 15 - 2)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 495 + -498. What is the third smallest value in -2\/27, 5\/6, o?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 + 4*r**2 + 5*r + 2. Let s be l(5). Suppose 3*n = -i - 3*i - 35, 0 = s*i - 4*n - 10. Let x be (3\/3)\/((-2)\/6). Sort 0, i, x in descending order.\nAnswer: 0, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 15. Suppose s*w + 11 = 35. Let b be 4\/((2\/4)\/1). Solve -2*z + w*z - 12 = 4*j, 4*j = b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 924, 891, 842, 783, 720, 659?\nAnswer: 606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 10) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*a = 24, 46*r = 43*r + a + 65. Solve 11*l + r = 77 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -6045.9893 and -0.053.\nAnswer: -6046.0423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 q when two letters picked without replacement from {x: 1, p: 1, q: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 12) to base 8\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 3355.78724 to the nearest 100.\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k**4 - 2*k**5 + 2*k**4 + (3 - 3 - 11*k)*(k**4 + k**2 - k**2)*(2 + 0 - 3).\nAnswer: 9*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 690*k - k**2 - 690*k + 2*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**4 - y**2 - 45*y - 1. Let m(g) = -g**4 - g**2 - 1. Let h(b) = m(b) - x(b). What is the second derivative of h(o) wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -45.659825 and -4.\nAnswer: 182.6393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -2945?\nAnswer: 2949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -48120053 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -355 - -362. Suppose -3*j = -10*x + z*x - 126, -4*j + 195 = 5*x. Is j a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*p = 17, -4*m + 0*p + 13 = p. Find the second derivative of -10*o + 3*o - 3*o**m + 3*o wrt o.\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(0 + 1)\/(-2 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2526353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -813.4 and -0.36?\nAnswer: 292.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from ggjggjggggg?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + 42 - (-12 - (-1 - (-1 - -18)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 + 10*m. Let j be r(6). Let d be (-217)\/(-3) - (-8)\/12. Let q = d - 49. What is the greatest common divisor of q and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311010 divided by -35.\nAnswer: 8886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000005170541 rounded to 7 decimal places?\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of q**4\/6 - q**3\/3 - q**2\/2 + 5*q. Let c(o) = o**2 - 2*o - 3. Let x be c(-2). Let b be (-2)\/(-5)*(x + 0). Determine f(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6076 = 14*p + 203*p for p.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 343105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 28. Let f be (-14)\/y - 2*-4. Suppose -6685 = 5*n - f*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let q(c) = 3*c**2 + 153*c. Determine q(w(z)).\nAnswer: 12*z**2 + 306*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -17*y**2 + 6*y + 26. Let h(l) = -17*l**2 + 6*l + 25. Let m = 58 + -54. Let c(x) = m*t(x) - 5*h(x). Is c(8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of 0*k**4 + k**3 - 25*k**2 + 0 + 0*k + 1\/60*k**5. Calculate j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b + 43*b = -680. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 10:27 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 65?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3292 = 3*u + 106*u - 414 for u.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09852909 plus 0.56907?\nAnswer: 0.47054091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and 935519404.\nAnswer: 935519404.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 - -8. Let c = b - 87.072. What is c rounded to three decimal places?\nAnswer: -0.072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (131 - 131 - 58*y**2)*(-y**3 - 2*y + 2*y**3 + 2*y**3 + (2 - 2 - y)*(-y**2 - 5*y**2 + 2*y**2)).\nAnswer: -406*y**5 + 116*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + -1*sqrt(1573) - (0 + sqrt(1573)*-1 + sqrt(1573))) + -4 + (sqrt(1573)*-1 + -5 - sqrt(1573)))**2.\nAnswer: 462*sqrt(13) + 14206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-16)\/b**26)\/(b\/(b*((b*b**20)\/b)\/b)*(b*b\/b**(-24)*b)\/b))**(-24) assuming b is positive.\nAnswer: b**1176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 30798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 305134 + 1184402 + 980718 = 0. What is the ten thousands digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 2*b + 2341, -a + 8*b - 3*b = -2329. List the prime factors of a.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 287286748 by -658.\nAnswer: -436606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**4 + 1\/3*k**5 + 0 + 0*k + k**3 + 1\/3*k**2 = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266307.24 months to millennia.\nAnswer: 22.19227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2752555 + 27.9764455. Let y = d + -27.7. What is y rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 55 - 33. Let g = m + -24. Let d = -6 + 3. What is the nearest to 1\/3 in g, d, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -257650000*f**3*w**2 - 2*f**2*w**2 - f*w**2 + f - 990*w**2 + 3014 wrt f?\nAnswer: -1545900000*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1361653 (base 8) to base 16.\nAnswer: 5e3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -5*w**2 + 0 + 1\/24*w**4 - 2\/15*w**5 + 0*w + 0*w**3. Let m = 1 + 0. Determine b(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 503562400*c**3 + 29*c**2 - 14789573*c.\nAnswer: 3021374400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*c = -5, c + 4 = 3*v - 0*c. Is ((649\/3)\/v)\/(9\/27) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -46*d**3 + d + 1. Let m be h(-1). Let b be 188\/8 - (-7)\/(-14). Suppose -8*q + b = -345. Is m >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 i when three letters picked without replacement from mmilxl?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 12*m + 18. Calculate the remainder when h(-12) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s - 0*s. Let l(z) = 0 + z**2 + 4*z**3 - 1 + 2 - 3*z**3 - z. What is l(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + sqrt(833) + 1).\nAnswer: -28*sqrt(17) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-4) + (-11)\/(-2). Suppose -3*y - 117 + 9 = 0. Let p = y + 53. Solve -p = 3*z - t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -9. Suppose f = x - 3*o - 4, 4*x - 29 = o - 2*o. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 572\/65*(3\/(-6) - -3). Let z be (3\/3)\/((-5)\/(-55)). What is the highest common factor of z and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 178*b + 2 - 2 - 182*b. Let y(q) = 5*q**2. What is k(y(t))?\nAnswer: -20*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -53 - 42. Suppose -3*r + 7 = z. Let g = 10 - r. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12021*u**3 + 12185*u**3 + 12528*u**3 - 37386*u**3.\nAnswer: -652*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 33\/9 + 4\/12. Suppose 2*g + 2*k = 2, l*g = k - 4*k + 3. Sort g, 4, 5.\nAnswer: g, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2461938, -4923886, -7385834, -9847782?\nAnswer: -12309730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10945\/(-153230))\/(22\/4)?\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/5)\/6 - (-11)\/(-10)*-14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -17 + 2 + 5 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*b*c**3 + 3*b*c + 4*c**3 - 309*c**2 wrt c.\nAnswer: -102*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1406\/5 (b) 99 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**3)**(-30)\/(k**(1\/5))**(8\/7) assuming k is positive.\nAnswer: k**(1042\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1302400142 (base 5) to base 3.\nAnswer: 12221222202212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110111000101101 + 101?\nAnswer: -101110111000101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.179712 to three dps.\nAnswer: 18.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231472 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 1 - 1)*(3 - 1 - 1)*(2*x + 0*x - x).\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12021 - -112020111?\nAnswer: 112001020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**2\/5 - 384*r\/5 + 12288\/5 = 0 for r.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -371 * 0.056.\nAnswer: -20.776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z + 6 = 0. Let d = 5 - z. Is d at most as big as 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -608 - -637. Calculate the highest common factor of 29 and s.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3931 - 3928. Let g(j) be the third derivative of 0*j + 0 - 1\/120*j**5 - 1\/4*j**i + 5*j**2 - 1\/12*j**4. Factor g(y).\nAnswer: -(y + 1)*(y + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 + 24*p - 20. What is l(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 3*c = -0*j, 3*c = 0. Suppose -4*a + m = -10 - 7, 0 = 5*a - m - 21. Suppose -16 = -0*r + a*r, -2*k - 6 = r. Is k != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 629 + 30437. What is x rounded to the nearest one thousand?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (5*(-8)\/(-10) + -12). Suppose -5*u = 3*y - 58 + 18, y - 39 = -f*u. Solve 5*r - 3 + 4 = -2*j, 3*j - 2*r = -u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -w + 40, 24 = -3*u - 0*u + 3*w. Let j be 5\/2 - 4\/u. Suppose -j*m + 12 = m. Solve -5 = -m*k + 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + -2 - -3) + 8\/4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 5*h**4\/4 + 5*h**3\/3 - 40*h**2 + 100*h - 336. Determine o, given that s(o) = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z + 109 - 45*z - 112 - 49*z in the form t*z + j and give t.\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8.06 - 8. Let o = 0.04 + d. Sort -0.4, 0.2, o.\nAnswer: -0.4, o, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -675883.48 + -4.\nAnswer: -675887.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -5 - -4 - 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -54463 or -54503?\nAnswer: -54503","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 38\/9 (b) 1\/3 (c) 527\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*l - 31 - 29 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by 10\/(-2)*(-7)\/(91\/260).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 299 divide 2718209?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + z + 10 = -4, 4*k - 8 = 4*z. Sort 0, -4, k, 21.\nAnswer: -4, k, 0, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - 7\/(105\/(-66)). Let s = 5 - 5.5. Suppose f + 8 = -2*q + 1, 0 = 2*f - 6. Put i, q, s in descending order.\nAnswer: i, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 14 + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4429.3 plus 24888.4?\nAnswer: 20459.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 22 + 3 = 0. Suppose -6*f = o*f - 1397. What are the prime factors of f?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11984*y - 2421. Let b(m) = 23871*m - 4843. Let u(t) = -6*b(t) + 11*k(t). What is the first derivative of u(p) wrt p?\nAnswer: -11402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten ninths of a week?\nAnswer: 11200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002021 (base 3) to base 15.\nAnswer: 37a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyayybwaybay. What is prob of picking 3 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/36 + 5\/(-3). Let v(c) be the second derivative of 5*c**4\/6 - c**2\/2 - 16*c. List the prime factors of v(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 28 = 5*t, 5*t + 3*w = -w - 13. Let a(l) = 2*l**2 + 1. Let d(k) = -k**2. Let u(f) = -f**2 - 2. Let c(p) = -2*d(p) - u(p). Determine t*a(h) + 3*c(h).\nAnswer: -h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g**2 + 8*g - 9 + 0*g**4 + 7\/5*g**5 + 0*g**3. What is the derivative of k(b) wrt b?\nAnswer: 28*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (3 + -5) - (22 + 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*l + 13 - 1. Let w(i) be the second derivative of 0 + l*i + 0*i**2 + 1\/10*i**5 - 1\/2*i**3 + 0*i**4. Find the second derivative of w(p) wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -13*c**2\/2 + 7*c + 3. Let h(y) = 3*y - 2. Let x(k) = 9*h(k) + 2*t(k). Give x(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = v. Let g(u) = -28*u. Let c be g(1). Let j = -17 - c. Calculate the greatest common factor of v and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*b + 37 - 13. Let q = -12 - -32. Let g = q + -14. Sort g, -5, b in decreasing order.\nAnswer: g, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m + 36 = -211 - 83 for m.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.21? (a) -0.1 (b) -3 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26813 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-18)*-2)\/((-171)\/27 - -5).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/8 - 1334535*g\/8 - 190293075\/4.\nAnswer: 3*(g - 445130)*(g + 285)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/2, 31, 2\/13?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*220\/11\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -113785367 at most as big as -113785367?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.018 (b) 1\/14 (c) 1\/6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e + 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-35 - (-1 - (-12 - -13))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 - 118.5. Let t = -4.033 - 0.067. Let s = 4 + t. What is the third biggest value in s, h, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13224 - -225440?\nAnswer: 212212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, -0.1, 56, 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12)\/sqrt(3)*-4)\/(sqrt(2) - sqrt(72)*-2 - sqrt(2)))**2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8346, 16685, 25010, 33315, 41594, 49841, 58050?\n\"Answer: -u**3 - u**2 + 8349*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 699 - 698.79. Put -5, l, 2, 2\/15 in decreasing order.\nAnswer: 2, l, 2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -647\/4200630 - 2\/26145. Let a = z - 36857\/69408. Find the common denominator of 27\/40 and a.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -58. Which is bigger: u or 5\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 - -28. Let k(o) = o**2 + 2*o + 4. What is k(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of x**3\/3 + x**2 - 2*x + 2. Let y(n) = -4*n**2 - 7*n + 7. Suppose 0 = 6*z - 5*z + 7. Determine z*d(u) - 2*y(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 5*s + 5*s)*(6 - 5*s - 6) + (-7*s + 2*s + 4*s)*(6 - 6 + s**2) + 366*s**3 - 265*s**3 - 272*s**3.\nAnswer: -177*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 23*o - 140. Let q be m(6). Suppose 0 = j + 4*j. Let r be 1 - (q + j) - 0 - 3. Solve -5*s - 2*g + r*g - 6 = 0, s - g + 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -2 (b) 100 (c) -1\/3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10400904 a multiple of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -13*c**2 - 8*c. Let u(i) = -24*i**2 - 5*i + 5. Let a(y) = 15*y**2 + 3*y - 3. Let x(b) = -5*a(b) - 3*u(b). What is p(x(m))?\nAnswer: -117*m**4 + 24*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -5*w**3 + 4*w**2 - 2. Let p(r) = -11*r**3 + 9*r**2 - 5. Let g(t) = -9*c(t) + 4*p(t). What is the derivative of g(m) wrt m?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-15))\/((-30)\/75)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.12, 0.22, -3, 5, -0.6.\nAnswer: -3, -0.6, 0, 0.12, 0.22, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 182 + 46 = 0. Let b = a + 53. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -313? (a) 4 (b) -1 (c) -25102\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228, -744, -1778, -3588, -6432, -10568, -16254?\nAnswer: -23748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -32*m**3 - 7*m**5 - 88*m**4 + 55*m**4 - 18 + 40*m**2 + 2*m + 2 + 46*m = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.036 - -0.03600314. What is s rounded to seven decimal places?\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a day in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1918066.39 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 101525867 less than 0.22?\nAnswer: -101525866.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/348 and -35\/5781411?\nAnswer: 23125644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36544 and 204.\nAnswer: 1863744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/3 - 3 - -3. Calculate the remainder when 7 is divided by 0 - k - (-3 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4816 + 385263\/80. Let f = p - 3\/16. Let y = -21 - -18. Which is the third biggest value? (a) 0 (b) f (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 6. Let n(o) = -1. Let u(j) = 2. Let p(s) = 3*n(s) + u(s). Give -f(i) - 6*p(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*i - 197*i + 12*i)*(-1 - 2 + 2 + (1 + 1 - 3)*(0 - 6 + 4)).\nAnswer: -91*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/3086064 and -41\/372456.\nAnswer: 21602448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of 3*a**5\/5 - 2*a**3 - 3. Find the third derivative of l(j) wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w + 48. Let u(k) = k. Let s(d) = c(d) - 2*u(d). Let r be s(0). Suppose 0 = -4*p, -4*i + r = p - 5*p. What is the remainder when 20 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20889768449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20808344 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msmu when four letters picked without replacement from {u: 4, m: 4, n: 7, s: 3}?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.9 + 4.899999664. What is s rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16665 and 16665.\nAnswer: 16665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -132*v**4 - 4333*v**2\/2 - 51*v - 12. Differentiate z(g) with respect to g.\nAnswer: -3168*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17775, 71097, 159975, 284409?\n\"Answer: 17778*o**2 - 12*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 9*c - 14. Calculate v(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8923 (base 10) to base 13\nAnswer: 40a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21 + 54?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/40 - 85*u**4\/8 - 7225*u**3\/4 - 733*u**2. Determine b so that h(b) = 0.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 24 = 2*b. Let s(t) = t**2 - 1. Let r be s(-2). Solve -o - 3*y - 3 - 3 = 0, -5*o + r*y = b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/341 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m - 1. Let w(l) = 6*l - 5. Let z(r) = -11*c(r) + 2*w(r). Let q = -3 - -2. What is z(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 20 - (0 - -8) - (-6 + 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.46009316 rounded to one dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlmv when four letters picked without replacement from {n: 1, h: 4, m: 5, v: 1, c: 1, l: 3}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/3 + (-55)\/(-15). Suppose 4*l = 2*s + 8, 5 + 2 = 5*l - b*s. Determine z so that -15*z**4 + 9*z**2 + 3*z**3 + 4*z**3 + 2*z**3 - l*z**2 = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 71567483*v + 68754899 wrt v?\nAnswer: 71567483","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.198 - -144.198. Let h = -130.7 + t. Let k = h - 13.566. Round k to two dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/(-12)*12\/27)\/(396\/(-18))?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/13, -5, -1, 2\/11, 3\/2 in descending order.\nAnswer: 3\/2, 2\/11, -6\/13, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17604695599 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 + y - 4. Let d(m) = -m**2 - m. Give 2*d(v) + n(v).\nAnswer: v**2 - v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 19*o + 54*o - 24*o - 4*o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**10*z*z*z\/(z*z*z**5*z)*z*(z\/(z\/(z*z**(-2)*z)))**(-3\/4) assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2286421 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 2*o - 1. Let j be l(-3). Suppose 6 = -j*d + 5*d. Let t = -15 + 24. What is the remainder when t is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360730 is divided by 16394.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5065100 to the nearest ten thousand.\nAnswer: -5070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4588204 + -12?\nAnswer: -4588216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**3 + 72*f**2 + 62*f + 10. Determine u(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 12:02 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of 101*f**5\/60 + f**4\/24 + 37*f**3\/2 - 45*f**2. Find the second derivative of z(v) wrt v.\nAnswer: 202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -331 (b) -3 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2541638?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.94697nm in kilometers?\nAnswer: 0.00000000002694697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 668\/167 - (1\/(-1) - 166). Solve -236 = -13*y - l for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -190 - -69. Let u = -45 - i. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**3\/9 + 229*s**2\/3 + 52441*s\/3 + 1830. Factor m(p).\nAnswer: (p + 229)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58529 is divided by 327.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y = f - 68, 0 = -3*f - y + 149. Suppose z = -2*z + f. Suppose 3*j + z = 4*j. Solve 3*x + 2*t = 17, 3*t + t = 4*x - j for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/13 - 221928*j\/13 - 6156504648\/13.\nAnswer: -2*(j + 55482)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 20 + 8)*(2*k - 3*k + 2*k) + 5*k - 2*k - k + (2 - 6 + 1)*(-2*k + 1 - 1).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**2*y**2 - 238*w**2 + 2*w*y**5 - 5*w*y - 15*y**4 wrt y.\nAnswer: 4*w**2 + 40*w*y**3 - 180*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-7) - (-3 - (-414)\/(-161))) + -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-1 - 3 - ((-2 - 2) + 7)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 37\/5 of a century?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.27 + 0.27. Let n = -10 + 6. Which is the third smallest value? (a) n (b) -0.03 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 2*((-2*sqrt(7)*-1 - sqrt(7) - (sqrt(7) - (-1*sqrt(84))\/sqrt(12))) + -3 + -3*sqrt(343)))**2.\nAnswer: 264*sqrt(7) + 13561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11 is divided by ((-90)\/(-50))\/(3\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1041, -1770, -2499, -3228, -3957, -4686?\nAnswer: -5415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -251, -253, -255, -257, -259?\n\"Answer: -2*v - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*c*s + 589*c - 10*s**4 with respect to s.\nAnswer: -5*c - 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -7*(0 - (-1 - -4)). Suppose -3*p + 3*l + 6 = 4*l, 0 = 5*p - 3*l + 4. Let t be p\/(-3) - 669893\/q. What is t rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7463 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*f - 0*f. Suppose -f*a + 4*a = 3. Let r be (-8)\/a*(-6)\/4. Solve 5*i = 9 - r for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4396569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-1 + (-2)\/(-3)). Let q be (8\/3)\/((-155)\/(-465)). Put n, -3, q in decreasing order.\nAnswer: q, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22648337 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -3*y + 3, 0 = -y - c - 2*c + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 30, -11, -220, -681, -1478, -2695, -4416?\n\"Answer: -14*f**3 + 57*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 350*q**2 + 113*q**2 - 21*q**2.\nAnswer: 442*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v. Let l(k) be the second derivative of k**3\/6 - 6*k. Give j(l(h)).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 133 - 11. Let s = q - -201. What is the remainder when 167 is divided by s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7425?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 + 20*y**2 + 2*y**3 - 17*y + 4*y**2 - 8*y**2 - y**2.\nAnswer: 2*y**3 - 17*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 + 3*m + 1. Suppose 15 = 36*d - 41*d. Determine q(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4989840.\nAnswer: 2, 3, 5, 17, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-1)\/(-1))*2\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 682?\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 41 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 929*a**2 + 3. Let x(k) = -k. Calculate w(x(y)).\nAnswer: 929*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 8*w + 3. Let v be n(-2). Let h = v + 12. Sort 4, 1, h in ascending order.\nAnswer: h, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*n - 17 = -0*n, 7 = 4*t - n. Let f be (-1)\/(-2) + (-21)\/(-14). List the prime factors of (5 + f)*t*2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29625 and 7584750.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 0*b + 2*b - 5.\nAnswer: 2*b - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkkkyekekyg. What is prob of sequence keyy?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 769651373 to the power of 1\/3, to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**3\/3 + 3295*w**2\/6 - 8185*w\/6 + 545 = 0.\nAnswer: 1\/2, 2, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 43? (a) -0.3 (b) 2\/3 (c) 0.5 (d) 2\/7 (e) 111\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6007 or -5742?\nAnswer: -5742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -12*f**2 + 270*f + 53. Let b(x) = -2*x**2 + 55*x + 11. Let l(a) = -11*b(a) + 2*i(a). Calculate l(-32).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310433482 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2501 and 533?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 21. Let l = -25 + d. Let m(v) = -32*v - 33*v - 30*v + 96*v - 3. Determine m(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 68, 150, 264, 410?\nAnswer: 588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.57 and 0.3.\nAnswer: -0.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 PM and 12:58 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 1088 + 4 = 0. What is the smallest common multiple of 20 and f?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 l, and 2 n when four letters picked without replacement from {l: 1, a: 1, g: 1, e: 2, n: 3, i: 12}?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*-370560*(575\/10 - -5). What is i rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30663, -30662, -30661, -30660, -30659?\n\"Answer: l - 30664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1960?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 16*d = -19*d - 5648, 4*g - 2*d = 11320. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-562)\/5058). Let d = -6 - -8. Let w be d + 8\/(-2) - 0. Which is the third smallest value? (a) r (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 358*i**2 - 15*i - 50. Let n be r(-3). Suppose 13*l = 488 + n. What is the remainder when l is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12, 26, 38, 48?\n\"Answer: -n**2 + 17*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m - 59*m**2 - 6*m**3 + 58*m - 29*m + 51*m. Let a(y) = 2*y**3 - y**2. Let q(p) = -2*a(p) - o(p). Find the second derivative of q(w) wrt w.\nAnswer: 12*w + 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9\/(-6) - -2) + 14\/(-4). Let r be (w + -1)*(-12)\/168. Find u such that -6\/7*u**3 + 0*u + 0 + 6\/7*u**4 - r*u**5 + 2\/7*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-147 + 90 - -65) + 103.\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4014 and 10?\nAnswer: 20070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w**2 + 4 - 6 - 9470*w**3 + 9460*w**3 + 42*w - 2*w**2 to s + t*w + c*w**3 + j*w**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 21*-407\nAnswer: -8547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -98*z**5\/5 - 8568*z**4\/5 + 22462*z**3\/5 - 19548*z**2\/5 + 6472*z\/5 - 144 = 0. Calculate z.\nAnswer: -90, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jejb when four letters picked without replacement from {p: 1, b: 3, e: 1, j: 2}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111218 - 111207.0062. Let f = o + 0.0062. What is the smallest value in 4, 5, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1342607?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2776954?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(1088) + -3 + sqrt(1088))**2 + 4 + 0.\nAnswer: -8718 + 192*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94537 is divided by 194.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-2\/5)*u)**(-32\/7)\/(u**(-2\/15)*u**(3\/8)))**28)**(2\/37) assuming u is positive.\nAnswer: u**(-2507\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (38 + 0)\/(6\/12). Suppose -5*g = -g - f. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f + 26*f + 0*f)*(-9 + 2 + 2*f - 5).\nAnswer: 42*f**2 - 252*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 34552958.\nAnswer: 138211832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1120 (base 9) to base 3\nAnswer: 1010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 18*l**3 - 3*l**2 + 21*l - 82. Does 7 divide s(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1576771, 1576655, 1576539?\n\"Answer: -116*k + 1576887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 14930, 14949, 14982, 15035, 15114, 15225?\n\"Answer: v**3 + v**2 + 9*v + 14919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7882 + 8145.12. Round r to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28744857 and 153305904?\nAnswer: 459917712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -2*l - 4*m, 5*l - 137 = -3*m - 43. Suppose -3*x + 676 = -37*k - 39, -3*x + 171 = -3*k. Calculate the remainder when x is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*m + 193*m = 60 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*j - 63*j + 126*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -9 - (-5 + 6)) + -1\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*j - 457, 2*c + 2 = -j + 198. Calculate the lowest common multiple of 1095 and c.\nAnswer: 20805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a litre in millilitres?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358 by -75.\nAnswer: -358\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 11*q - 9*q.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a**3 - 6*a - 6. Let q(x) be the second derivative of 11*x**5\/20 + 17*x**3\/6 + 17*x**2\/2 - 33*x. Calculate -17*b(t) - 6*q(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 - m**2 - 4*m - 3. Suppose -4 - 6 = 5*p. Let j be l(p). What is the units digit of -1 + -1 - (j - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.66486us in seconds?\nAnswer: 0.00002366486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(4\/3))**50*x**(1\/5)*x\/x**(-40))**(-1\/13) assuming x is positive.\nAnswer: x**(-1618\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -11, 0, 0.4, -4, -14\/15, 90?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 4*c = -34, -2*g + c + 0*c - 11 = 0. Let k = g + 13. Is (-95)\/(-35) - (-2)\/k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31 + 15. Let n = 39 + a. What are the prime factors of n\/(4*1\/4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(75) - (2 + (sqrt(75) - 1*sqrt(75)) - sqrt(75)))**2 + -2 - 3*-2*sqrt(75)*4)*-3*-2.\nAnswer: -1812 - 480*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68 - 164 + a - 86.\nAnswer: a - 182","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35 - 48. Is -27\/2 at least as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, b: 3, l: 4}. Give prob of sequence db.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 20819067 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(672))\/(sqrt(6) + (sqrt(12)*-3)\/sqrt(2))*-4.\nAnswer: -24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 7 + 23)*(-2*m - 4*m + 4*m) + 2*m + m - 2*m.\nAnswer: -53*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*d - 93*d + 486*d - 120*d - 104*d - 95*d.\nAnswer: -49*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -42 + 57. Suppose -4*c + 9*c - x = 4*f, 5*c + 4*f - 15 = 0. Find the third derivative of -8*d + 8*d - 6*d**c - 4*d**2 wrt d.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -312 + 21?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-5))\/(110\/(-275))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -x - 3*j, 4*x - 1575 + 4703 = j + 1578 + 1578 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 195 and 390.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -407270, -407255, -407222, -407165, -407078, -406955?\n\"Answer: c**3 + 3*c**2 - c - 407273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rpwkpkir. Give prob of sequence irr.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + 5*u - u)*(-2*u + 3*u + u)*(-6 - 14 + 4).\nAnswer: -64*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 63. Suppose -5*m + t = 12. Suppose -p + 45 = m*p. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*j + j**2 - 3*j)*(0 + 3 + 0)*(2 + 0 - 4)*(-189 - 235 + 346) to m*j**2 + n + i*j and give m.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n + 14*n = -18. Let a be (-72)\/(-3)*2\/n. What is the highest common divisor of a and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7681018, 7681033, 7681040, 7681039, 7681030, 7681013?\nAnswer: 7680988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = -6*r + 40*r - 14 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.1 + 1.1. Let i be (2\/(-9))\/(10\/6). Which is the third smallest value? (a) i (b) 0 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 612?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*h - 24*h**3 + 22*h**2 + h**4 + 2*h + 23*h**3 + 0*h to k*h + g + m*h**4 + q*h**2 + f*h**3 and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.07 or 5\/215394?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 52*y - y**2 + 6*y**3 - 53*y - 12*y**2 - y**4 + 3*y**2 in the form s + n*y**3 + v*y**4 + k*y**2 + a*y and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 6*n. Let g(r) be the third derivative of r**6\/180 - 5*r**4\/6 + 5*r**2. Let x(s) be the second derivative of g(s). Give f(x(d)).\nAnswer: 24*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -1586*k**3\/3 - k**2\/2 + 2276*k - 3040. Differentiate x(g) with respect to g.\nAnswer: -3172*g - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.79287 and -4202.5247.\nAnswer: -4203.31757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*k - 4*z, z + 3*z - 15 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -136 divided by -68?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 8\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*o + 6249 = 2079 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times -450.5?\nAnswer: 135.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 + 46*k**2 + k**3 + k**3 - 31*k**2 - 2*k in the form x*k**2 + n*k**3 + s*k + y and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 4*j - 89, -6*a + a = 4*j - 159. Let x be (4\/(-10))\/((-42)\/a). Let n = -21 - -23. Sort 2\/17, x, n.\nAnswer: 2\/17, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = v - 99 + 33, 5*f = 5*v - 330. Is v a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 3:53 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**6 - 13*j**2 + 11*j**2 - 4*j**6 wrt j?\nAnswer: -840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113829940.4 to the nearest ten thousand.\nAnswer: 113830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (-56 + 42 - (-2 + -47)).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**2 + 1543796*r - 9262632 = 0. Calculate r.\nAnswer: 6, 385943","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 73142566579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 + d**2 - 8*d + 6. Let w(c) be the second derivative of -c**4\/12 + c**3\/6 - c**2\/2 - 5057*c. Give -j(z) - 6*w(z).\nAnswer: z**3 + 5*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -50 and -137\/858.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/196 - -211\/980. Suppose -3*t + 6 = -3, -w = -3*t + 10. Let u be (0\/2)\/(-1 + w). Are u and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*n**3 - 421*n**3 - 284*n**3.\nAnswer: -489*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 11*p**2 + p + 6. Let t(a) = a**3 + 7*a**2 - 7*a + 19. Let k be t(-8). Let i = 2 - -3. What is the remainder when b(k) is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, 5, -3\/7, -160, 4\/3 in descending order.\nAnswer: 5, 4\/3, 2\/17, -3\/7, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*r + 3*r = 15, -2*n = -3*r + 9. Let p(v) = 2*v**3 + 66*v**2 - v - 31. Let s be p(-33). Solve -5*u + s - 27 = n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/38 + (-6160)\/(-1045) - (-36)\/(-8). What is the closest to -5 in j, -0.2, -2, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, l: 1, o: 4, v: 2}. Give prob of sequence tl.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8603727751 to the power of 1\/3, to the nearest integer?\nAnswer: 2049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1161762635 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**3 + 2*y**2 + 4*y - 4. Let j be n(2). Calculate the smallest common multiple of 52 and ((-110)\/(-25) - j)*15.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/5 (b) -3 (c) 325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*x = 6*j - 6, 4*j - 3*x - 6 = 0. Let w be 196\/(-14)*(-1 - j). Calculate the highest common factor of 126 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 9*x - 4. Let y(n) = -n - 2. Let c be y(-6). Suppose -2*z - c = -3*p + 5, -2*p = 2*z - 16. Calculate the remainder when b(3) is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957785 to the power of 1\/4, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 6*r**2 + 6. Let h(g) be the first derivative of -g**3\/3 - g + 98. Let m = 19 + -25. Give m*h(q) - w(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 118*b**3 + 119*b**3 + 11*b**2 - 2 in the form p*b + m*b**3 + j*b**2 + t and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 171.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c9e01 (base 16) to base 11.\nAnswer: -1071071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 62\/10 + 465\/(-75) + 6. Let m(z) be the second derivative of -5\/2*z**2 - o*z + 0 - 4\/3*z**3. What is the first derivative of m(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*g**2 + 6*g**3 - 3*g**2 - 9*g**3.\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6 - (-1144)\/(-480) - (-4 + 5) and 67\/175?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13438686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -194 + 203. What is the tens digit of ((-24)\/z)\/4*-447?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-342)\/(-2565)*5\/2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -4*i + 7440003. Let p(a) = 5*a**3 - a**2 + 2*a - 1. Let b be p(1). Let h be i\/2 - b\/10. What is h rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16549126 smaller than 16549126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13496665.\nAnswer: 5, 7, 13, 29663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kooo. What is prob of sequence ok?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2557339875.\nAnswer: 3, 5, 461, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 91*h - 4284 = -93*h, -3*h = -4*b + 8554. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0064829 to 5 decimal places.\nAnswer: 0.00648","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 13*c = -2. Let x(u) = -39*u. List the prime factors of x(c).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-152 - -65) - -3?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7058, -2, -9 in descending order.\nAnswer: -2, -9, -7058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1386341785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*7\/189)\/(303\/(-2727))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*u**4\/5 + 10011*u**3\/5 + 23713*u**2\/5 - 22491*u\/5 - 11241\/5 = 0. Calculate u.\nAnswer: -1249, -3, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -w, 3*w + 5 = 12*i - 6*i + 35 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 u, and 1 k when three letters picked without replacement from {h: 3, d: 3, k: 6, l: 2, u: 1}?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -16)\/4 - (-180)\/(-72)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k + 2080 - 2080 + 4*k**3 + 5*k + 4*k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 5*p**2 + 5*p. Let f be q(-4). Suppose -2*s = 5*y - 4*y - 4, 0 = -4*s + 3*y + 18. Let a(x) = 4 + x**3 + s*x + 5*x**2 - 3 + 1. Calculate a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(425) - (-3 + 1*sqrt(425)))**2)*2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -502*a**2 + 0*a + 0*a - 107*a**2 - 282*a**2.\nAnswer: -891*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5533808mg in grams?\nAnswer: 0.0005533808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18 - (-2 + 3))\/1. Let d = u + -10. Suppose w = -0*w + d. Calculate the remainder when w is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5165?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -1566 - 4554. What is the smallest common multiple of 27 and i?\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*k + 3*k + 3*k)*(1 + 0*k**2 - 1305*k + 2*k**2 + 1306*k).\nAnswer: 6*k**3 + 9*k**2 + 6*k + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 64 = -6*w. Let g = -15 - w. What is the second biggest value in g, -7, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -6. Suppose -r + 3 = -3*c. Solve -q + 5*m - 40 = 4*q, -4*q - c = 3*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660457496 to the power of 1\/3, to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47033770 to the nearest integer?\nAnswer: 361","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q**4 + q**4 + 0*q**4 + q**4 - 13*q**2 + 13*q**2 + (2 - 5 + 4)*(-q**3 + q**3 - 2*q**4).\nAnswer: -3*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 2 + 14 = 0. Suppose -h*i = -6*i + 219. Let k = -67 + i. Let s(g) = 2*g - 9. What is s(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31893 + 611 = 8*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 98882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 + y**4 + (-y**4 + 2*y**4 + 0*y**4)*(-3 + 0 - 2) to the form j*y**4 + p*y**3 + k + b*y**2 + l*y and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248684609?\nAnswer: 43, 5783363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 10433564?\nAnswer: -10433563.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = z + 3 + 5, 0 = 4*z + d - 6. Let v = 25549 - 25548.6. Let t = 32 + -159\/5. Which is the nearest to t? (a) z (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 3:14 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.722754 to two dps.\nAnswer: -0.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24903502*q**3 - 380*q**2 - 87980.\nAnswer: -149421012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31278267*i**2*r + 12907*i**2 + 128*i + 11 wrt r?\nAnswer: -31278267*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 18*m + 34*m = -7764. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -1444*c - 4340. What is h(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63960)\/130)\/(-123))\/(95*6).\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) 2\/15 (c) -29 (d) 0.187 (e) 6 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222101 (base 4) to base 15.\nAnswer: 2036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x + 5 + 0*x + x**3 + x**2 - 13 + 9. Determine k(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*t + 42 = 5*b - 45*t + 14*t, 31 = 3*b - 4*t for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34084 and 132.\nAnswer: 1124772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3418, 11281, 19144, 27007, 34870?\n\"Answer: 7863*i - 4445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 6*m + 2. Let w(x) = 7*x + 2. Let o(s) = 6*a(s) - 5*w(s). Let c be o(-2). Suppose c = 4*k + 1 - 33. Solve -u - k = u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + 711\/(-1494). Do 0 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 9*y**2 + 171*y - 834. What is v(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**2 + 100*w + 1785. Let o be y(-21). Solve o*m + 50 = 116*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*b + 13. Suppose 4*s - 2*z + 180 = 9*s, s = 4*z + b. Let k(a) = 2 - 35*a - 6 + s*a. What is k(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p. Let w(t) = t**2 - t + 1. Let k be w(4). Let l be (-57)\/(-24) + 6*8\/(-128). Suppose k = 5*f - 2*v - 17, -3*f + l*v = -22. Give r(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68032902?\nAnswer: 2, 3, 7, 1619831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*d + 92*d = 55*d - 3230 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*v - 2*g, 0*v - 7 = v + 4*g. Let k = v - 5. Let b = 2 - k. What is the nearest to b in -3, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 40 = -4*r - 4*t, 0 = -4*r + t + 59. Let m = 94 + -55. Calculate the remainder when m is divided by r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 - -1317. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**5 + 19*x**4 - 244*x**3 + 224*x**2.\nAnswer: x**2*(x - 8)*(x - 1)*(x + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 0.790072t?\nAnswer: 790072000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p = -18*p + 10. Suppose 3*y + 11 + p = 2*k, 22 = -2*k - 4*y. List the prime factors of ((-21)\/(-6)*-6)\/k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56242 - -790.\nAnswer: -55452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2\/7 - 34344*u\/7 - 73719396\/7 = 0. What is u?\nAnswer: -4293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 42639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/98 + 122\/4326. Let q = 2\/103 + s. Solve q*n + 0 - 1\/3*n**2 = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 11, 1, -202, -5 in decreasing order.\nAnswer: 11, 5, 1, -1, -5, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -230 + -202?\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 187*n + 183*n + 2*n**2 - 2*n**2. Let p(y) = 2*y**3 - 2*y**2 - y - 2. Let r be p(2). Suppose -4*a - r = -3*a. Determine j(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4123 - -4122.99939175. What is c rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*u = 6. Solve u*i - c = 3, 2*c - 13 = -5*i - c for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5211, -10326, -15343, -20262, -25083, -29806?\nAnswer: -34431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v + 3 = 62*v. Suppose 6*f - 32 = 5*f - n, 110 = v*f - 4*n. Calculate the lowest common multiple of f and (-3)\/1 + (-15)\/(-3).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115 + 3262*z**2 - 129 - 3256*z**2.\nAnswer: 6*z**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0*u - 8 = 0. Is 12 a factor of 24 + (-3)\/(-2)*u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240 != -1\/20105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.85 + 8.7941. Let u = -209.9441 + s. Which is greater: -0.1 or u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 466 - -198. Suppose -431 = -q + 2*s, -3*q + 5*s - 291 + 1581 = 0. Let l = a - q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + 3 - 3)*(3*r**2 - r**4 - 3*r**2) - 549*r**5 + 4519*r**5 + 3426*r**5 + 357*r**5.\nAnswer: 7755*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29758 is divided by 354.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2662.124 - -2672. Let m = z - -0.124. Which is the nearest to m? (a) 3 (b) -2\/3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 964923099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 - 17. Is ((-6294)\/4)\/((-2)\/o - 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 3*f - 30 = 38, -12 = -3*f. Let i = b + -20. Solve 3*w - q = 3, -5*w - 3*q + 8 + 11 = i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4504.\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*i**2 + 4*i**2 + 11*i**2 - 5*i + i**3 + i**2 - 2*i**4 in the form v*i**3 + j*i + l*i**2 + k*i**4 + t and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 106 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/1)\/4)\/(6\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2122 - 2119. Sort u, -3, -0.41.\nAnswer: -3, -0.41, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-3)\/6 + (-2)\/8. What is the third biggest value in -5, s, 2\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 241754921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (263872\/(-2356))\/(24\/3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + v - 3 = 0, -5*v = -0*v + 25. What is the lowest common multiple of k and ((-8)\/3)\/(6\/(-45))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 0*x**2 + 0*x + 0*x**5 - 23\/6*x**6 - 49\/3*x**3 + 0*x**4 - 34. What is the third derivative of h(l) wrt l?\nAnswer: -1380*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*(-2 + sqrt(76))*6 + -2)**2.\nAnswer: -22320*sqrt(19) + 216732","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462 = -18*c - 15*c - 297 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 310 is divided by 0 + (57\/(-2))\/(3\/(-6))?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38430 is divided by 2705?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1332 and 1573596?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 AM and 7:47 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0 - 28. Suppose -m - 17 = -4*f. Suppose 0 = 3*a - f*a + 1170. Round a to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b + 4. Let m be h(-1). Suppose m*s - 144 = -144. Suppose s = -6*w - 11*w + 1224. Is w a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6507572334.\nAnswer: 2, 3, 29, 479, 78079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1509.3677 - -0.3677. What is the third smallest value in 0, f, -1\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 + 1)*(-4 + 5 + 10)*(d**2 - 171 - 8*d + 170 + 0*d**2) as h + n*d + g*d**2 and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2562 + 2562.000001063. What is b rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358744 (base 10) in base 12?\nAnswer: 153734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 85 - -1184?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 933 + 0*m**2 - 511 - 504 + 25*m**2 to the form r + d*m**2 + q*m and give r.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-110)*35\/((-84)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3497*u + 3502*u - 10883 - 1877 = 0. What is the thousands digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 2*x**4\/3 + 8321*x. Let j(r) = 953*r. What is i(j(q))?\nAnswer: 7265672*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 3)*(-3*y + y + 3*y) - 13*y + 7*y - 16*y + (-y + 5*y - 3*y)*(2 + 0 + 0) - 5*y + 0*y + 7*y.\nAnswer: -17*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -328522 <= -328339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + q - 3 + 84, -2*q + 8 = 0. Does 3 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130238207 to the power of 1\/3, to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 2660904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(0 - 1\/(-2)). Let p be ((-2)\/7)\/(m\/(-14)). Suppose -w - p*w = 0. Solve 4*t + 4 = -w*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97.1 - 97. Let b = 0.416 + u. What is b rounded to two dps?\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3\/94, 0.017, -1\/6, 4 in ascending order.\nAnswer: -1\/6, 0.017, 3\/94, 1\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 215050 is divided by 2062.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of -2*p**2 - 18*p + 5. Let b be c(-12). Solve 5*f = 2*o + b, f - 3*o - 14 = -o for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(1008)*3.\nAnswer: 5 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4811202031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Suppose 3*u - s = 4*y, 2*u = -0*y + 5*y - 4. Are u and 3 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2 + (-3 + 4 - 2)*(-2 + 4 - 3) - 2 - 2 + 6 - 3 - 12 + 17)*(-s + s - 2*s**2).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 12:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*y + 24*y + 84 = -4*n, -4*y + 56 = 3*n. Solve 4*d + 39 = y*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*x - 22*x + 6. Let r be x\/153 + (-10)\/90. Which is the biggest value? (a) -2\/13 (b) 1 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 96774445 to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (5 + (2*sqrt(180))**2 - (sqrt(180) + -1)**2*-5) + (-2 + (2*sqrt(180) - sqrt(180)) + sqrt(180) + sqrt(180) + -3)**2.\nAnswer: -240*sqrt(5) + 3274","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05287317 and 142?\nAnswer: 141.94712683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 less than -0.1325957?\nAnswer: -185.1325957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-2))\/((-6)\/24). Let b(h) = h**2 + 2 - n + 0. Let l(u) = -2*u. What is b(l(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*12.064\nAnswer: 1.2064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6633*a + 6636. Let q be o(1). Solve -1\/3*h**4 + 1\/3*h**q - 1\/3*h + 0 + 1\/3*h**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 + 111*z - 13 + 628*z + 21 - 181*z as m*z + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6)*-3 + -1. Solve -2*i - f + 4 = 0, i - s*f + 8 = 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 726036541?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -6227008.2 to the nearest ten thousand.\nAnswer: -6230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(-6))\/((1895\/2274)\/(((-630)\/12)\/3)).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*-6.\nAnswer: -306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 162 - 162. Suppose -18 = -9*o - p*o. Solve -a - 7 = -3*c, a + o*c = -1 - 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.34 plus -162443179?\nAnswer: -162443224.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*c**3 + 7*c**2 - 3862*c + 21275620 wrt c?\nAnswer: 15*c**2 + 14*c - 3862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 454, -0.5, -2, -0.79?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 927.2082 millilitres?\nAnswer: 0.9272082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 1.96. Let p = -25.9 + 27. Let f = 1.3 - p. Put -0.4, f, n in descending order.\nAnswer: f, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*5616.\nAnswer: 449.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 4\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4485? (a) -2\/3 (b) -0.4 (c) -0.5 (d) 1197\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*v**3 - 334*v - 25*v**3 + 362*v wrt v.\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 6) in base 2?\nAnswer: -11010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (22 + (-2077)\/93)*-3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/((-125)\/(-375))*(-20)\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 277030 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 4 - -8) + 2. Suppose -j*q = -2*q - 6188. Suppose 9*z - q = 2*z. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-2)*((-120)\/14 - -9). What is the nearest to 0 in l, 2\/11, -0.4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2178 - 1773. What is the lowest common multiple of d and 10?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 164 - 166. What is the common denominator of ((-9)\/(315\/i))\/((-4)\/305) and 31\/156?\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**5\/6 + 35*p**2. Let t(g) = 16*g**2 + 11. Let q(z) = 3*z**2 + 2. Let f(a) = -33*q(a) + 6*t(a). Determine f(b(w)).\nAnswer: -300*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -99.28618+-871285\nAnswer: -871384.28618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 355100.5 to the nearest 1000.\nAnswer: 355000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 48 = -198. Let a be 0 - (-22 - 21\/(-3)). Let i = a + 15. Calculate the highest common factor of r and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = 6*n - 11, 3*o + o - 38 = o - 35*n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.84323252 rounded to four decimal places?\nAnswer: -0.8432","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 18 + -16.7. Let p = -0.7 - y. Which is the closest to -2? (a) 1\/7 (b) p (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z - 43*z = -2*l + 33805, 3*z = -5*l + 20283. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5\/3 - -16\/15. Sort i, -2, -0.3, -3 in decreasing order.\nAnswer: -0.3, i, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*c + 2 - 2 + (0 + 0 - 1)*(-3 + c + 3))*(-2*c**2 - 3*c**2 + 2*c**2) to m*c**3 + n + k*c**2 + i*c and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -0.8, 1.1, -1?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f\/(f**(-3\/11)*f)*f*f))\/f)**12*(f**(3\/5))**(-50) assuming f is positive.\nAnswer: f**(-498\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -48426*0.1\nAnswer: -4842.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -210 + -12034011?\nAnswer: -12034221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -15*k**2 - 5. Let g = -21 + 17. Let s(i) = -7*i**2 - 2. Let p(q) = g*x(q) + 10*s(q). Let l(v) = v. Determine l(p(r)).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-3 - (-5 + -3)) - 5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -19, 0.3, -0.5 in increasing order.\nAnswer: -19, -3, -0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/((-66)\/132)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-40)*81\/((-33858)\/44))\/((-1)\/(-235))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -6515 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**2\/2 - 4*y - 1. Let l be j(-8). Let 5 + 1 - 2 + s**2 + l*s = 0. What is s?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 341 is divided by 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 101272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -59*v + 9. Let b be u(5). What are the prime factors of b\/(-13) - (-1 + 2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 320060223 to the nearest integer?\nAnswer: 17890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 0 - -8)\/((20\/(-4))\/(-5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*v + 3. Solve s - v*s + 1 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6321 + -417.3679. What is the nearest to 2\/7 in -4, d, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011101101001110111 - -1?\nAnswer: 11011101101001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-8))\/((-536)\/(-1206))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 622212619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2451 at least as big as -2451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.3 + 7.7. Let q = -13 + p. Suppose -3*t - 3*s - 3 = 0, 2 = -0*s - 2*s. What is the nearest to 1\/4 in q, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 988 and 152.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-w + 2*w + 0*w)*(w + w - 3*w)*(-120*w**2 - 271*w**2 - 91*w**2) to h*w**3 + t*w**2 + n + g*w**4 + b*w and give g.\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -100, 5, -2 in decreasing order.\nAnswer: 5, 1, -2, -4, -100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*o = 128, 4*o - 2*o - 192 = -3*g. Suppose -5*s + 27 + 21 = 2*d, -2*d + g = -3*s. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 85 (b) 2\/17 (c) 2\/11 (d) -15 (e) 0.3 (f) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5461 - 17?\nAnswer: 5445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, d: 2, h: 5, o: 3, j: 5}. What is prob of sequence dh?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and (-2)\/7 - 1311\/(-840).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3 = 1. Let c be 9641\/w - 5\/25. Let i = c + 4826. What is the common denominator of i and 89\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -320 - -29?\nAnswer: -2a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8158019, 16316037, 24474055?\nAnswer: 32632073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11670104 - 9443902 = a + 3*y, 3*y = -5*a - 105570006. Round a to the nearest 100000.\nAnswer: -21100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -30, 0, -12 in increasing order.\nAnswer: -30, -12, -8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/7 + 10034*j\/7 - 43454367\/7 = 0. Calculate j.\nAnswer: -13301, 3267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 2*d**3 + 1 + d + 3*d**2 + 2*d + d. Suppose -57 = 34*b + 11. Determine t(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 8*l + 2. Suppose -12 = 5*g - 3*g. Let z be v(g). Let o be -1*(z\/8 - -1). What is the third biggest value in -0.5, o, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**(1\/24)\/a))\/a**(-4\/7))\/(a**(3\/2)*a\/((a\/(a\/(a\/((a**17\/a)\/a))))\/a)))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 20537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -54265 - -510?\nAnswer: -53455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -4)\/(-4)*0. Suppose -3*v = -9, p = -2*n + 5*v - 4*v + 319. Suppose 0 = 8*w - n + 57. Calculate the remainder when 23 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-7) - 12\/1. Let w be 0\/(-3) - (0 - v). What is the units digit of ((-5)\/w)\/(2\/120)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12.2 + -38.4. Let g = w - -26. Let s be 2\/6*(57 + -59). Which is the closest to -0.1? (a) -0.3 (b) g (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 122 - 87. Let w = -23 + l. Which is the third biggest value? (a) w (b) 5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/7704 and -13\/128?\nAnswer: 123264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 327 = s - 6*s, 3*m - 309 = -s. Suppose -4*o + 20 = o, -3*o + m = 4*c. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 387*u**2 + 64*u**2 + u.\nAnswer: 451*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -23*r - r**2 - 1 - 6 - 3 + 2*r**2 + r**2. Let v be q(12). Let i be (-62)\/(-22) - 4\/(-22). Sort -4, i, v, 1.\nAnswer: -4, 1, v, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.304 rounded to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 4*u = -5*x - 313, -3*x = -3*u + 303. Let a(j) = 18*j + 9. Let f be a(5). Suppose -f = -5*k + u. What is the remainder when k is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**(1\/2)*q**(-1\/3)*(q*q*((q\/(q*q**(-2\/5)))\/q)\/q)**(-2\/19)*(((q**(-2\/3)\/q)\/q)**(-37))**39 assuming q is positive.\nAnswer: q**(2193431\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -133, -11 in descending order.\nAnswer: 0, -11, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 137*a**2 - 20*a - 36. Let z be o(-2). Suppose -z = -4*h + 4*u, -22 + 20 = -2*u. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 303 - 301 - (17 - 1).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4703370.\nAnswer: 2, 3, 5, 7, 22397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1230744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 - 159.3318111.\nAnswer: -165.3318111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 826, 1332, 1840, 2350, 2862?\n\"Answer: n**2 + 503*n + 322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least as big as -244347?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 8*i**2 + 8*i + 1. Calculate f(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -83*a + 9*a + 46*a in the form p*a + b and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1241?\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 597661381 to the power of 1\/2, to the nearest integer?\nAnswer: 24447","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*v - 125*v + 132*v**3 + 1008*v**3 + 242*v.\nAnswer: 1140*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 e when two letters picked without replacement from mmmmmmejejj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 + 18*v + 5. List the prime factors of s(-12).\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 20*r**2 + 93*r + 12. Calculate z(14).\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 1569155*n + 37662600.\nAnswer: -5*(n - 313855)*(n + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*b = -4*h - 35*b + 14304, 0 = 4*h - 5*b - 14309. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111 and 886449.\nAnswer: 32798613","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*i + 2, i = -d + 2*i + 3. Let b be 5 - (-2)\/2 - d. Solve 3*k = -b*v + 5, 6 = -v + 2*k - 4*k for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 863189?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -126 - -225. Suppose 0 = -3*j - 3*t + 2*t + 142, 2*j - p = -5*t. Suppose 0*x + 5*x - 60 = 0. What is the remainder when j is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.1472778 rounded to 3 dps?\nAnswer: -13.147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17551*m**2 + 2086*m + 3 wrt m?\nAnswer: 35102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.051 or 5?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10839, 10838, 10837?\n\"Answer: -a + 10840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:44 PM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/30*3*(-35)\/(-5).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*t - 2*t + 0*t)*(-12*t + 9*t - 8*t) + (3*t**2 + 0*t**2 - 2*t**2)*(-1 + 0 + 3) to the form z*t**2 + n + j*t and give z.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5014 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n**5\/5 - 1649682*n**4\/5 + 471273*n**3\/5 + 4949004*n**2\/5 + 1885356*n\/5 - 942672\/5 = 0. What is n?\nAnswer: -1, 2\/7, 2, 78556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -2*q**4 + 25*q + 15. What is the first derivative of r(h) wrt h?\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 295884893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 511 (base 10) to base 13\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/(9\/4))\/2. Suppose 0 - 4 = -z*u. What is the third derivative of o**5 - 16*o**u - 4*o**5 - 2*o**4 + 2*o**4 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/4)\/(24\/96)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1, 20, 49, 82, 113?\n\"Answer: -z**3 + 11*z**2 - 7*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 2*d + 4*m - 18, 0 = 2*d - m. What is the units digit of (3 - -2)*d + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 22. Factor -12*i - 70*i**n - 4*i**4 - 4*i**2 + 0*i + 82*i**3 + 8.\nAnswer: -4*(i - 2)*(i - 1)**2*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:33 PM?\nAnswer: 11:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide (31098\/(-4))\/(-3) + 3\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 33\/9*(-4 + 7). Let f = -8 + h. Solve -2*c + 4 = -x - 7, -4*x = f*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-35) - 54\/(-70))*(1 - -14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 179316965?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -893*i**2. Let a(u) be the third derivative of -u**5\/30 - u**2 + 81*u. What is a(f(c))?\nAnswer: -1594898*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -97. Let r = u - 126. Let c = -178 + r. What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -16*m - 63 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -73487? (a) -2 (b) 0.5 (c) -142\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41664613?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let q = 0 + g. Suppose 3*x + x - 28 = q. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 19 = 29. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18002, 3, -3, 1, 2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -56452662, 6\/5 in increasing order.\nAnswer: -56452662, -5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -25, -259, -899, -2149, -4213, -7295, -11599?\n\"Answer: -34*b**3 + b**2 + b + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000 (base 2) to base 8.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.082847 to 3 decimal places.\nAnswer: -0.083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 477.8 to the nearest ten.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, n: 9, t: 6}. What is prob of picking 3 t?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*((-2 - 1 + 4)*(i + 3*i + 4*i) - 7*i - i + 3*i)*(-1 - 4 + 3).\nAnswer: 6*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 6*l - 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -83\/8418 at least -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 9*t**2 - t - 7. What is g(9)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/5 of a century?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72\/756*(-18)\/4)\/3.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 15, -22*w + 24*w - 4 = -5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 35 + 29 = 0. Suppose 34 = 5*t + 2*i - 48, 3*t - 51 = -3*i. Let c = o + t. What is the remainder when c is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 417, 414, 413, 414, 417, 422, 429?\nAnswer: 438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53004807.\nAnswer: 3, 673, 2917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/11 + 38*k\/11 - 120\/11.\nAnswer: -2*(k - 15)*(k - 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 2. Calculate b(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7118580 and 9792.\nAnswer: 341691840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 14. Let j(p) = p**2 - 6*p + 2. Let s be j(n). Differentiate -7*a - a**s + 4 - 3 + 7*a with respect to a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231311455 (base 6) to base 5\nAnswer: -2043130330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/360 + 193*i**3\/3 - 124. Let u(s) be the third derivative of r(s). Let d(w) = 404*w. What is d(u(o))?\nAnswer: 404*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -57\/142?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6*b - 117 = -5*z, -3*z - 3*b + 72 = 0. What is the remainder when 135 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361 - 47.76?\nAnswer: 2313.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 164 - 159. Suppose -o*n + 0*n - 283 = -4*v, 5*v - 4*n = 365. Let s(l) = 13*l + 6. Let g(h) = -168*h - 77. Give v*s(k) + 6*g(k).\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53744\/3 greater than 0.0496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51198.26 nanograms?\nAnswer: 51.19826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 1906041889?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.868697 rounded to 2 decimal places?\nAnswer: -11.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -56 - 22. Suppose -z - 4 = -5*k. Let a be (-20)\/6 - (-2)\/k. Is -3 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109.8 + 118.8. Let z = -0.43 + 9.73. Let u = z - g. Which is smaller: 0.4 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -5*q**3\/3 + 558*q. Let a(g) = 39*g**2. Give a(w(m)).\nAnswer: 3900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 308474 or 2?\nAnswer: 308474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 98*q**3 + 3*q**2 + 3*q - 7. Let o be l(4). Suppose -109*j + 114*j - o = 0. What are the prime factors of j?\nAnswer: 5, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6102\/540)\/(-113))\/((-1)\/(-6))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 3*k**2 + 1 + 33*k + 27*k.\nAnswer: 3*k**2 + 60*k + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.4 * -462.\nAnswer: 2032.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306 is divided by 21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q = -3*q - 20. Let w(u) = -5 - 4*u**2 - u**2 - 71 - 9*u + 6*u**2 - 33. Let r be w(16). Solve -q*t + 10 = -3*m, -3*t + 8*m = r*m - 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a - 7. Let f(m) = 2*m + 2. Let k be f(-4). Let h be d(k). Let c be ((-137)\/(-2))\/(h\/2). What is c rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**2 - 4032*s - 4036.\nAnswer: 4*(s - 1009)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 717 and 7219556.\nAnswer: 7220273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 51, 44, 23, -18, -85?\nAnswer: -184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 27, 298, 1027, 2442, 4771, 8242, 13083?\n\"Answer: 38*y**3 + y**2 + 2*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -149, -125, -81, -11?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(20) - (sqrt(45) - sqrt(720)))**2.\nAnswer: 44*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5003869183 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116 take away -5?\nAnswer: 5.116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -311 divided by -128\nAnswer: 311\/128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7047, -7155, -7237, -7281, -7275, -7207, -7065?\nAnswer: -6837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -20, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 31) + 7 + -15 + (23 - 18)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*z**2 - 76*z**2 + z**2 + (-2*z**2 - 4*z**2 + 4*z**2)*(-3 + 4 - 3) - 6*z**2 + z**2 + 4*z**2)*(4 - 1 + 0).\nAnswer: -249*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 5*n - 8 = 0. Let g be 0\/(n\/(0 + 2)). Find the common denominator of (-70)\/(-9) - g\/1 and 51\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5*z - 7. Let y(c) = 21*c + 731. Let x be y(-35). Determine p(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5600 and 3\/22 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77 - 87*u**2 - 163*u**2 + 77 to p*u**2 + n + b*u and give p.\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -368406.4692751 - -23?\nAnswer: -368383.4692751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 353 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 3. Let f = s - 26. Let a = -16 - f. What is the third biggest value in 4\/3, a, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 132288 and 768.\nAnswer: 529152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5461)\/5334 - 8\/(616\/(-143))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(sqrt(1053) + 1*(-2*sqrt(1053))**2) + (-2 + (sqrt(1053)*2)**2)*-3).\nAnswer: -108*sqrt(13) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -2 - (82 - 119 - -67).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 6*f**2 + 8. Let b be o(6). Suppose -5*r = 5*p + 5, 7*p - 3*p + 2 = -2*r. Let w = b - p. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12392 is divided by 288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(-19) - -1) + (-342)\/(-3249)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/84952 and 3\/4088?\nAnswer: 6201496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -42. Suppose k*t + 2*o - 196 = 0, 5*t + 2*o = -2*o + 494. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10.0071 and -0.5?\nAnswer: -5.00355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 9 = 3*g, -4*g + 1 - 11 = -2*x. Solve 4*f = -3*o - 9, -o - o - x*f - 7 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - d - 4*d = 30, 0 = 3*d + 15. Suppose -5*t - 1105 = -k*q, -t - 5 + 1 = 0. Calculate the remainder when q is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 274.\nAnswer: 3\/274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (69\/(-230))\/((-1)\/10). Solve 5*o + h = 2*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04722673508 rounded to 6 dps?\nAnswer: 0.047227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160630754 is divided by 213.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*u, 2*u = -2*v - 9 + 27. Let k(w) be the first derivative of 2\/5*w + 1\/10*w**v - 4 - 2\/15*w**3 - 1\/5*w**2. Factor k(q).\nAnswer: 2*(q - 1)**2*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170056 is divided by 1053?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 701, 16897, 33095, 49295, 65497?\n\"Answer: x**2 + 16193*x - 15493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 598 + 1168 = 0. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1193 is divided by 42.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42150*d**4 + 32980*d**3 - 888*d**2 - 28752*d\/5 - 5632\/5 = 0.\nAnswer: -2\/5, 352\/843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s = -3*s - 70 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -6*(sqrt(300) - (sqrt(300) + sqrt(300) + -2 - sqrt(300)))**2.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 1. Let s(i) = -14*i + 17 + 8 - 59 + 22. Let y be 2\/(-5) + 7\/5. Give y*s(l) - 12*v(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/378 and -95\/4746.\nAnswer: 42714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 19 = 4*a - 36, -5*j = 3*a - 45. What is the remainder when 16 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -96.318338.\nAnswer: -96.218338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1258084721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-277 - 134 + 12)*(2*l + 5*l - l).\nAnswer: -2394*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158 + 1?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 23. Let t = h - -16. Let m be ((-15)\/330)\/(2\/4). Is t at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.01 + 0.01. Suppose -5*d + 28 = 2*d. Suppose -6 + 2 = d*g. Which is the nearest to g? (a) f (b) 1\/9 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 38 + 66*k**2 - 56*k**2 - 4*k to l*k + u*k**2 + o and give u.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + 20 - (3 - (10 - 1)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 88. Let a(r) = -28*r - 484. Let u(y) = 2*a(y) - 11*w(y). Let g = 3 + -6. Let b(o) = -5*o + o - 4*o. Calculate g*u(z) + b(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by 23384.\nAnswer: -4\/2923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10449 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92466.56 rounded to the nearest ten?\nAnswer: 92470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6)\/(6\/16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 268?\nAnswer: 268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 16*s - 16. Let n be z(-2). Let r(v) be the second derivative of 0*v**3 + 0 + 3*v + 1\/12*v**n - 5*v**2. Differentiate r(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.055, 1\/2.\nAnswer: -0.055, 1\/2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (4488 + 19 + 4486 - 150 + 5512)*(h**3 - 3*h**3 + 3*h**3) in the form o*h + d*h**2 + s + g*h**3 and give g.\nAnswer: 14355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -24942*d**2. Let t(i) = -i. Calculate m(t(l)).\nAnswer: -24942*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5, -u - p + 370 = 110. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 at least as big as 319\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 c when two letters picked without replacement from {t: 1, s: 1, e: 2, c: 4, h: 4, w: 3}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b - 225 = 69*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/5 - 24\/36) + 2\/(-10). Factor x*t**2 + 2\/3*t**4 + 0 + 0*t + 2\/15*t**5 + 16\/15*t**3.\nAnswer: 2*t**2*(t + 1)*(t + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37786)\/48582 - 770\/(-18)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-6) - 3820\/(-15). Is r < -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 11*w**2 + 77*w - 46. What is a(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**4\/4 - 2*z**3 - 10*z - 256. Determine i(7).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -3, -5, -3\/61?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3219.154005 + 3232.154. Let w = k - 13. What is w rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1809 + -1750. Let q be 173\/(-3) + (-2)\/(-3). Let y = b + q. Solve 0 = 2*j - y - 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**3 + q**2 - q - 1. Let j = 10 - 9. Let w be u(j). Solve 21 = r + 4*p, 3*r + 0*r - 2*p - w = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -3*z**4\/2 - 5*z**3\/3 + 13. Let a(g) = -3*g**3 - 2*g**2. Give -5*a(x) + 2*j(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2.39, 2\/9 in ascending order.\nAnswer: -2.39, -0.5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -40809 (base 11) in base 15?\nAnswer: -12996","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104363 and 9647?\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 - 4*x**2 + 13*x + 7. What is the remainder when j(-9) is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00407 to 4 dps.\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7741 - ((-3 - 2) + 3). Let x = r - 23704\/3. Let c = 157 + x. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**4\/4 - 4*n**3\/3 - 3*n**2 + 3*n - 22. Is k(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - (-9 + (-1 - -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84800 is divided by 9421?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + -3 - (0 - 2). Let y be 6 + x - (0 + 1). Solve 2*v = -y*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2\/5 - 54*j\/5 + 56\/5 = 0.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/17478 and -145\/284874?\nAnswer: 829837962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 0*h + 3*h - 6*h - 10 + h. What is the units digit of i(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 325*u + 1949. Calculate d(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -5*u + 31, 5*u - 320*h - 696 = -222*h for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 + 707*j\/3 + 5096.\nAnswer: -(j - 728)*(j + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 6 = -o, -3*h - 1 = o + 1. Suppose 0 = 2*r + 4*w + o, 3*w - 5*w - 2 = -4*r. Suppose r = -0*l + 3*l - 42. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-104)\/28 - (-4)\/(-14). Let f = 0 - b. Suppose -f*w + 0*w = u + 16000, -12000 = 3*w - 2*u. What is w rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/5 - 216522*y\/5 = 0. Calculate y.\nAnswer: -108261, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -10. Suppose 2*l + 2*l + n = 0. Sort l, 5, -5 in decreasing order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 465*o**2 + 2. Let t(s) = -44*s + 865. Calculate t(f(d)).\nAnswer: -20460*d**2 + 777","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35840 = 2849*i + 35385 for i.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**3 + x**3 - x**3)*(0*x**2 - 2*x**2 + x**2) + x**5 - x**5 + 2*x**5 + (0*x**4 + x**4 - 3*x**4)*(4*x - 5*x + 3*x).\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34 or 5754?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 73061042 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-55*k + 53*k - 35*k)*(6 - 7 + 2)*(-5*k**4 + k**4 + k**4).\nAnswer: 111*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00146577443 to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 17*q - 16. Let f be h(1). Let a be 24\/(-27)*2\/8. What is the closest to -2 in f, a, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -121 + -6. Let x = p + 95.1. Let z = x + 32. What is the nearest to z in 2, 0, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 7*c**2 - 6*c + 23. Let z be r(-4). Let b(x) be the first derivative of 3*x**4\/4 + 2*x**3\/3 - x + 1. Give b(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2010011001 (base 3) in base 8?\nAnswer: 121276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37.8 - -38.095. Let h = -1.295 + m. Sort 30, h, 0.3.\nAnswer: h, 0.3, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4894 + 37496 + 1710 = 3675*y for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 11. Let x = -5.2 - n. Which is the nearest to 2\/11? (a) x (b) -3 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1\/5, -1752 in descending order.\nAnswer: 5, -1\/5, -1752","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -243451527*a**5 + 2*a**3 + 1117231507*a**2 wrt a.\nAnswer: -14607091620*a**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29837920 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c = 25*c - 96 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1013753531 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/49149 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j + 2*j + 0*j)*(-1 + 0 + 0) + 0*j + 3*j - 5*j - 219*j - 535*j - 367*j + 42*j.\nAnswer: -1084*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 66*s**2 - 12*s - 37. Is l(25) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7448334 (base 9) to base 3\nAnswer: -21111122101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 533? (a) -2 (b) -1\/6 (c) -5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 141, 424, 843, 1398, 2089, 2916, 3879?\nAnswer: 4978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 5*g**2. Let b(v) be the first derivative of 37 - 1\/3*v**3 + 0*v + 0*v**2. Determine p(b(s)).\nAnswer: 5*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43573*z - 43463*z - 2090 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1377, 1379, 1389, 1413, 1457, 1527?\nAnswer: 1629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32458.1224 - 32445. What is o rounded to one decimal place?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 y, and 1 l when three letters picked without replacement from {l: 3, u: 1, y: 6, t: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103599 is divided by 2527.\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 337376, 673587, 1009798, 1346009, 1682220, 2018431?\n\"Answer: 336211*w + 1165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 20*w**2 + 63*w - 21. Give h(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 23*b**2 - 2088*b + 23252. What is c(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1565 is divided by 60?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3182282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 5*p + 3. Suppose -4*i = -3*i - 5. Let z be v(i). Suppose -d = z, -5*k + 2*k + 2*d + 1746 = 0. Round k to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.037 + -0.037. What is the closest to 0.2 in p, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 890, 5151, 12424, 22709, 36006, 52315, 71636?\nAnswer: 93969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d - d**3 - 3 - 5*d**2 - 5 - 4*d. What is the units digit of v(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15 and 13694.7.\nAnswer: 13679.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 <= 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.52074 rounded to 1 decimal place?\nAnswer: -80.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 3*i**2 - 2*i + 4. Let q be o(3). What is the remainder when 24 is divided by (q - -1)*2\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the third derivative of -i**5\/60 + i**4\/6 + 3*i**3\/2 - 37*i**2. Let y be m(5). Solve 11 + y = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 340.791 - 339.3. What is j rounded to two decimal places?\nAnswer: 1.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1927024820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1906955 to the power of 1\/2, to the nearest integer?\nAnswer: 1381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**5 + 10*m**4 + 8*m**3 - 38*m**2 + 32*m - 8 = 0.\nAnswer: -2, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*z - 17, 0*z - 3*z = -j - 5. Suppose -5*p - q - 4*q = 0, j*p - 8 = -2*q. Solve 0 = 2*a - p*a + 2, -3*c - 3*a = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i - 3*i**2)*((2*i - 3*i + 5*i)*(7*i - 4*i + 5*i) + 0*i**2 + 0*i**2 + 2*i**2).\nAnswer: -102*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 10*n + 0*n + 1)*(-92 + 4*n**2 + 92).\nAnswer: 32*n**3 + 4*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 9*o**3 + 12*o**2 - 15*o - 6 = 0.\nAnswer: -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -16 - 1 - (-2 + 2 + -10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.6 - -6. Let y = -4 - -4.4. Let i = y - q. Which is the nearest to i? (a) -1\/7 (b) 0 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898001 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 68669, -6, 4 in increasing order.\nAnswer: -6, 4, 68669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -11 + -5 + 16 + -4.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 10, 16, 22, 28?\n\"Answer: 6*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 4*n + 0*n)*(-2*n**4 + 2*n**4 + 3*n**4).\nAnswer: 6*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-711)\/(-45) + -16)\/((2\/635)\/(-2)) and 4?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((192\/(-20))\/3)\/(10\/(-25)). Solve -12*k = -s*k - 8, 0 = -5*p - 5*k - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 27. Put 9, 2, f in increasing order.\nAnswer: f, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 6*c**3 + 5*c + 5. Let x = 26 - 16. Let m(b) = 24 + 21*b**3 + 4 + 18*b - x. Calculate 5*m(t) - 18*q(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2701*h**4 + 21*h**2 + 2421*h. Let l(m) = -m**4 + 7*m**2 - 2*m. Let t(q) = -j(q) + 3*l(q). Find the second derivative of t(n) wrt n.\nAnswer: -32448*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**2 - 332\/7*k + 96\/7 = 0.\nAnswer: -24, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 598 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 divided by -415?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 17)*(59 - 62)\/(6\/(-7)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -1\/5, 55 in ascending order.\nAnswer: -1, -1\/5, 0, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 26087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 1 = 8. Let n be d\/(-4) - 584\/(-32). Let m = -3 - -6. Solve -4*f = -m*s + 2*s + n, 5*f + 2*s + 14 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-52)\/(18\/576*-4) is divided by 213.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3346.9996411 + 3347. Round b to five dps.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozogoszzozgzzgzo. What is prob of sequence ogoo?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 7*g**3 + g - 2. Calculate the least common multiple of 6 and r(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-2 - (-4 - -4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44818 + 67176. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - x**3 - 34262*x - 1 + 17129*x + 17133*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = -3*h + 8, 6 = -3*x + 2*h + 10 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 l, and 2 v when four letters picked without replacement from mklkmrvvvvccmmcmk.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16785 is divided by 2791?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23271 is divided by 401?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, p: 15}. What is prob of sequence hhp?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*z + 102 = 0, -3*z - 25 = -i + 22. Let c(r) = -r**3 + 30*r**2 + 305*r + 18. What is the least common multiple of c(i) and (-1)\/(2\/(-8)) + 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39\/1 - ((-32)\/(-20) - (-146)\/365).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51 + 130. Calculate the remainder when n is divided by 25.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let v be 1\/(-3)*(89 - 88). Which is the nearest to k? (a) v (b) 0.29 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 71486*j**4 + 6 - 10*j**3 - 1 + 2*j**2 + 71485*j**4 to p*j**4 + d + v*j + r*j**3 + h*j**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6500252*a*z**5 - a*z**2 + 5*a*z - 146*a + 43285*z wrt z.\nAnswer: -130005040*a*z**3 - 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.03945341 and 225736.\nAnswer: 225736.03945341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3\/6*10\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 15*o - 15. Give v(-14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 529*u = -121*u + 33800 for u.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4325 is divided by 571?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f + 6*f - 4*f)*(9 + 9*f - 9)*((2*f - 2*f + f)*(-f + 2*f + 0*f) - f**2 + 2*f**2 + 2*f**2).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -138365.\nAnswer: 41509.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -11. Let a be (-1 - 1771\/35)*20\/(-6). Let d = a - 177. Sort p, 2\/7, 0, d in descending order.\nAnswer: p, 2\/7, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a kilometer?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 16.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8230.7 millennia to decades.\nAnswer: 823070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -5*s. Suppose 2*f + f - 72 = s. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 29 + -27. Let v(k) = -p*k**2 - 2 + 4 - 2. Let h(b) = -15*b. What is h(v(r))?\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/3*(-1 + 1560) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0*t - 8, -4*k + 6 = -t. Suppose -3*x = 5 - 14. Put x, -2, k in decreasing order.\nAnswer: x, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-6))\/((-10)\/105). Suppose -5*s - 3*d = -34, -s - 4*d + 7 = -10. Suppose 5*y + a = -s*z + 22, -1 = -z + y. What is the nearest to 1 in z, -0.4, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from ouoooooooouuoouu?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -527*f - 6256 = 6392 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -431767, -863531, -1295289, -1727041, -2158787, -2590527, -3022261?\nAnswer: -3453989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 713, 1079, 1449, 1823, 2201, 2583?\nAnswer: 2969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 303*c - 112*c - 37*c**2 - 95*c - 96*c.\nAnswer: -37*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 755, 660, 499, 272, -21, -380, -805?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 6:37 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 293484?\nAnswer: 1760904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21222 + 1?\nAnswer: 22000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - (0 - -2) - 1) + 43 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 313042 or 313043?\nAnswer: 313043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 5:01 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -159, -394, -817, -1488?\nAnswer: -2467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2399, -2442, -2511, -2606, -2727?\nAnswer: -2874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - ((sqrt(1300) - sqrt(1300)*1) + 0)) + sqrt(1300) - (-5 + sqrt(1300) + -1) - (sqrt(1300) + -4*-4*sqrt(1300))*-2)**2.\nAnswer: 4200*sqrt(13) + 1592536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 792094.3 kilometers in centimeters?\nAnswer: 79209430000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 7*r - 5. Let n(g) be the third derivative of g**4\/24 + g**3\/6 - 32*g**2. What is 6*n(o) + y(o)?\nAnswer: o**2 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let u = 14 + -13. Let i(x) = -x**3 + 11*x**2 - 10*x + 1. Let f be i(10). Let m(w) = 2*w - f - 7*w + u. Calculate h(m(q)).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 2*m + 5. Let l(p) = -2*p**3 - 2*p**2. Let h(n) = -4*n**3 - 5*n**2. Determine m*l(r) - 2*h(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 36*z**2 + 53*z + 6. Let c(b) = -35*b**2 - 54*b - 5. Let d(g) = -6*c(g) - 5*i(g). What is the second derivative of d(o) wrt o?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3058091 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**6\/240 - f**5\/40 - f**4\/8 - f**2. Let q(p) be the second derivative of b(p). Let l be q(-2). Solve 2*c = l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 4 - 10 = 0. Suppose -k*i = 0, -4*p - i = 4*i - 52. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(-12\/5)*m*m*((m**(-6\/5)\/m)\/m)\/m assuming m is positive.\nAnswer: m**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -21, -34, -61, -108, -181, -286, -429?\n\"Answer: -c**3 - c**2 - 3*c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -85? (a) 18 (b) 1\/77961 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 828?\nAnswer: 4140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809893?\nAnswer: 7, 37, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20.4, -4, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -4, -121, -5 in descending order.\nAnswer: 1, 0, -4, -5, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/41, 0.1, 49?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-3)\/18)\/((-6)\/(-4)))\/(8357\/(-626775)). Find x, given that 10*x**2 - 40\/3 - 20\/3*x + y*x**3 + 5\/3*x**4 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 65, 92, 119, 146?\nAnswer: 173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (128\/112)\/(92\/322).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(2057) + -4 + 2) + (sqrt(2057) - (sqrt(2057) + sqrt(2057) + (sqrt(2057) - 2*sqrt(2057)) + sqrt(2057))*2 - (5 + sqrt(2057) + 0)).\nAnswer: -11*sqrt(17) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hoh when three letters picked without replacement from {a: 1, y: 1, k: 1, e: 5, o: 3, h: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 15*u**2 + 83*u - 41. Calculate q(-10).\nAnswer: -371","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + 24*x**2 + 2*x + 53. Let t be f(-24). Suppose -2*w = -4*u - 92, -t*u - 4 = -14. What is the greatest common factor of 100 and w?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -7, -13 in increasing order.\nAnswer: -13, -7, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = l - 113996, -2*x = -6*x - 4*l - 228016. What is x rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -1421*v + 1490. List the prime factors of y(-7).\nAnswer: 11437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z + 2. Let m(w) = w**2 + 2*w - 1. Let j be m(1). Suppose -t = -j*l + 12, -5 = t - 3*l + 12. Calculate the smallest common multiple of y(t) and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 11*i + 32. Let p be u(15). Let f = 30 + p. Solve 0 = -b + f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-84)\/4*(-2)\/6. Let c(a) = -2 + 4*a - 3*a - k*a + 4*a. Calculate c(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -172, -343, -514, -685, -856, -1027?\n\"Answer: -171*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 2*a - 90, -6*a = -a - 3*z - 232. Let b = 34 - 25. What is the remainder when a is divided by (78\/b)\/(6\/9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5745*b*r**2 - 3*b*r - 23*b - 2*r + 10 wrt r?\nAnswer: -11490*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - 39) + (36 - 24) + 9\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of 7*f**3\/6 + 3*f**2\/2 - f. Suppose -q - 5 = 8*r - 10*r, -32 = -5*r - 4*q. Does 12 divide g(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189 is divided by 52.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91529, 93261, 94993?\nAnswer: 96725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 3*j = 1, -42*p - 17*j - 5 = -16*p - 15*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.063046 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + (sqrt(7) + 3)**2 + 5 + (sqrt(35)\/sqrt(5)*4)**2 + 5)*-4.\nAnswer: -560 - 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -12389457.\nAnswer: -12389456.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4040)\/(-17170))\/(418\/1309).\nAnswer: 14\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*h = 5*j, 2*j - 12 = -4*h. Let f = h + 0. Find the third derivative of -l**2 - 2*l**2 - f*l**3 - 4*l**2 + 4*l**2 wrt l.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123, -161, -269, -483, -839, -1373?\nAnswer: -2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 225002, 450007, 675012?\nAnswer: 900017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1183126 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.76 - -1.974. Let b = 0.15 - l. Let h = -0.101 - b. Round h to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 + x - 2. Suppose -v - 4*l - 6 = 0, -3*v + l - 4*l = 0. Let h be b(v). Solve 2*i = -u + h*u + 10, -u = -i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 7*v**3 - v + 40. Let f be h(7). Suppose -5*q = -3*b - 2416, -6*q + f = -q + 3*b. List the prime factors of q.\nAnswer: 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 175 - 12. Suppose 82 = 5*k - n. Suppose 3 = 2*f - k. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-168)\/(-98) - (0 + (-4)\/14). Let d(o) = -1083*o**2 + 5 + 17*o + 2 + 1088*o**g. Is 8 a factor of d(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.462314003 to three decimal places.\nAnswer: -0.462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1109487031 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44253 + 312332?\nAnswer: 401025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 301. Let r(x) = 22*x**2. What is r(f(s))?\nAnswer: 88*s**2 + 26488*s + 1993222","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.13 + -66.87. Let f = -65 - t. What is the fourth biggest value in f, 0.5, -2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -4*z + 52. Is (-8)\/z - (-4951)\/13 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 12) to base 11\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 6 + 13*c**4 - 14)*(278 - 19*c + 5*c - 278).\nAnswer: -182*c**5 + 42*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 1 + 3)*(-4 - 2 + 5)*(2*n + 0*n - 3*n) + 11*n - 170*n - 51*n to the form q*n + m and give q.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z + z. Suppose 3*l - 2 = z*l. Differentiate 1 - 3*r**3 - 2 + 24*r**2 - 24*r**l wrt r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -27 + 61. Suppose -2*m + 0*m = -2*y - j, -3*y - 6 = 0. Suppose 2 = 3*b - 4. Solve 5 - m = -b*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - r + 1)*(0 + 0 - 1 + (6 + 0 - 1)*(-2 + 0 + 0))*(-236 + 66 - 7 - 117).\nAnswer: -3234*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**3 + 3*u**3 + 6*u**3.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let z = -12 + 19. Let u = -4 - z. Is a greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 0.03, 18.2.\nAnswer: -0.05, 0.03, 18.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 - u - 2. Let f be c(0). Let w(x) be the second derivative of -x**3\/2 + 2*x**2 - 63*x. Let s(d) = 5 + 2 - 7*d + 2. Calculate f*s(t) + 5*w(t).\nAnswer: -t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -1\/5, 0.4, -5 in descending order.\nAnswer: 2, 0.4, -1\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 49*v - 2. Let k(s) = 244*s - 10. What is 2*k(d) - 11*q(d)?\nAnswer: -51*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -40? (a) 0.4 (b) 0 (c) -1\/6 (d) 18 (e) 15\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 25, 7, -61, -215, -491, -925, -1553, -2411?\n\"Answer: -6*u**3 + 11*u**2 - 9*u + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence je when two letters picked without replacement from jememmmqee?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/3*(31\/93)\/(16\/24)*11?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*g - 1\/4*g**3 - 5\/4 + 5\/4*g**2.\nAnswer: -(g - 5)*(g - 1)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -937679, -1875349, -2813019?\nAnswer: -3750689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**3 + 2 + 988*f**4 - 7788468*f - 4 - 3*f**3 + 261*f**4 + 7788469*f in the form h*f**3 + q + m*f + j*f**2 + i*f**4 and give i.\nAnswer: 1249","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.035 * -2037\nAnswer: -71.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29659 + -29623. Suppose 2*t - 390 = 282. What is the highest common factor of r and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1793*r**2 - 21*r**2 - 623*r**2)*(-3*r**3 + 1 - 1 + (0*r**2 + 2*r**2 + 0*r**2)*(-2 + 2 + 2*r)).\nAnswer: -2437*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.69 + 6.88. Let o = 0.82 + k. Round o to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329 and 78443.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 14*h**4 - 3*h**3 + 10*h**2 + 3*h - 14. Let f(x) = -3*x**4 - x**3 + x + 1. Let o(c) = a(c) + 5*f(c). Factor o(b).\nAnswer: -(b - 1)**2*(b + 1)*(b + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 + 39 - 8*o - 40*o + 8*o wrt o.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -874 = -4*f - l + 147, -5*l + 5 = 0. Calculate the remainder when 9943 is divided by f.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -8\/15, -2\/101, 0.5, 3\/79, -3?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 87\/27 - (9 + -6) - -7*(-18)\/(-14742)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 35 = -y - 28, 26*u = 40*y - 38*y - 32 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/7, 3, -5, -539, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -211936, -211862, -211788, -211714, -211640?\n\"Answer: 74*n - 212010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 <= 254431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a week in hours?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 121*y - 97. Let g(t) = -64*t - 102*t - 15*t + 146. Let c(u) = 5*g(u) + 8*v(u). Is c(19) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -100 - 3?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8.957? (a) 2 (b) 0.5 (c) -515\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 58 + 153 = 0. Let y(g) = -g**2 + 22*g. Let h be y(19). Calculate the highest common factor of h and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100200112 + -2212110?\nAnswer: 20211002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 408432 divided by -68072?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3331118?\nAnswer: 2, 7, 19, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.338 - 0.038. What is the nearest to h in -2, 5, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (42\/84)\/(2\/20). Suppose q = 5*m + 25, -d + 6 = q + m. Solve 3*k + c = -1, -2*c = -2*k + q*k + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 73 = 9. Suppose r + 56 = 5*r. Calculate the remainder when d is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/12 - m**3\/6 + 7*m**2\/2 + 389*m. Give y(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((-6)\/120)\/((-2)\/88))\/(2\/10). Calculate the highest common divisor of s and 913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 188722666*g**3*v**2 - 49033*g**3 + 2*g**2*v**3 - 10*g**2 - 39*g wrt v.\nAnswer: 377445332*g**3*v + 6*g**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 - 25*d**2 - 88*d + 616. Calculate o(27).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - l + 17 = -2*l, l = -q + 1. Solve -20 = -5*b + n, 0 = q*n - 17 + 2 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**2 - s. Let r be z(-1). Let y(h) = h**3 - 4*h**2 - 5*h + 6. Is y(r) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18\/17 in 1, -58, 14, 1\/4, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - u - u)*(-3*u + 4*u + 4*u)*(-4 + 0 + 0) to the form t + z*u**2 + q*u and give z.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 652*y - 4481. Determine t(-7).\nAnswer: -603","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 28. Let d be j(10). Let t(n) = -8*n**3 - 3*n - 1. Let s(y) = y**3. What is d*s(o) - 2*t(o)?\nAnswer: -2*o**3 + 6*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**2 - 72*k - 49. Determine r(-7).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -4*v**5 - 28*v**4\/3 + 12*v**3 + 20*v**2 - 56*v\/3 = 0?\nAnswer: -7\/3, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {o: 8, i: 5, t: 2}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 - 4\/36*6. Is 5 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11630485 take away 2?\nAnswer: -1.88369515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuvuii. Give prob of picking 1 u, 1 v, and 2 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -194. Is 16 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2235*x**2 - 1196*x**2 + 16*x + 26*x + x**4 - 40*x to the form b*x**2 + y*x**3 + v*x**4 + o + k*x and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/16 and -25\/92.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*((-7)\/(-56))\/((-15)\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of 3*h**5\/35 + 117*h**4\/7 + 869*h**3 - 234*h**2\/7 - 18252*h\/7 - 210. Solve x(z) = 0 for z.\nAnswer: -78, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 - 6*y**2 - 4*y - 4. Suppose f - 6 = 5*t - 35, 5 = -5*f - 3*t. Let u be z(f). Let v be (-4192)\/u - (-4)\/10. Round v to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126\/8009 - -556699\/5350012. What is the common denominator of g and -27\/11?\nAnswer: 7348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -314, 58 in increasing order.\nAnswer: -314, 12, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-11) + (-11 + 2)\/3\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/13 (b) 0.2 (c) -2\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116347 is divided by 29086?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 158170932 and 108.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 69487182?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -489*a + 3593. Calculate the remainder when c(5) is divided by 373.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1087.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.2, -0.1, -5, -0.4, -24, -34, 14?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 210\/(-40)*(-34)\/(-153). What is the nearest to 3\/5 in -5, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffff. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -583*m - 31*m**2 + 289*m + 294*m.\nAnswer: -31*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 62*y**2 - 66*y - 3370. Give h(60).\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20001022112 (base 3) in base 6?\nAnswer: 2315105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3114)\/346 + 38\/6*-3.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -3, 2, 4, -2, -1731 in ascending order.\nAnswer: -1731, -5, -3, -2, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1561 a factor of 1682077659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q - 77. Let n be w(-13). Which is bigger: n or -4\/17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 60744 and 0.526.\nAnswer: 31951.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1447 is divided by 566.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 411026686 and 174?\nAnswer: 1233080058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkhk when four letters picked without replacement from hhhhhhkhhkhhkh.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 5*l**5 - 43*l**4 + 89*l**3 - 69*l**2 + 18*l = 0?\nAnswer: 0, 3\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*b - 1, 2*b - 4 = g - 2. Let z = -5.5 + 6. What is the third smallest value in z, g, 2\/3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 2\/567, -0.1 in ascending order.\nAnswer: -0.1, 2\/567, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2\/28 - (-1086)\/(-63893)*(-325)\/(-84)\nAnswer: 2\/353","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:30 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 3*g - g)*(-g + 0*g + 4*g) + 78*g**2 - 14*g + 14*g + (3*g**2 - g**2 - 3*g**2)*(-7 + 4 + 6).\nAnswer: 81*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-3 + 2 + -3 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 4) + 13 + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 3*d + 29. Give w(10).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -25*b**3 + 0*b**5 + 65*b + 0*b**4 + 0 + 0*b**2 + 89\/10*b**6. Find the second derivative of f(m) wrt m.\nAnswer: 3204*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 25. Let a be z(-10). Solve 14 + 11 = a*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/83 + 59\/498. Let h(x) be the third derivative of 1\/60*x**5 + 0*x - 2*x**2 + 0 - 1\/3*x**4 + q*x**3. Calculate h(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*q + 8503, 3*q + 6*t = 2*t + 6346. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.364904876 rounded to two decimal places?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36785 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/4*(-56)\/7. Suppose -g = 4*g - r. What is the highest common divisor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 37*c - 131. Let f = -59 - -109. Calculate the remainder when f is divided by x(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11111?\nAnswer: 11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 1\/1578?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43 (base 11) to base 14.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + k**2 + 180 - 134 - 24*k**3 to the form c*k + o + q*k**3 + p*k**2 and give o.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -1767*a**6\/40 + 5561*a**5\/60 + 5744*a**2. Find the third derivative of r(s) wrt s.\nAnswer: -31806","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20)\/50*-20 - 3867\/(-3)?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 698*w**2 + 26840*w.\nAnswer: 2*w*(w - 305)*(w - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.5 + -1.5. Let p = d + 1.8. Let n(z) = z**2 + 12*z + 14. Let h be n(-11). Is p smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -112, -154, -196, -238, -280?\n\"Answer: -42*n - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 5*c**3 - 5*c - 5. Let j(n) = -16*n**3 + 14*n + 14. What is 3*j(q) + 8*z(q)?\nAnswer: -8*q**3 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccuu when four letters picked without replacement from cccuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2 - 14. Let t(c) be the second derivative of 15*c + 1\/3*c**4 - 1\/20*c**5 + 0*c**3 - 5\/2*c**2 + 0. Determine t(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2088 and 360?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -6\/5 (c) 0.24 (d) 2 (e) -1\/2 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10009777 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -2. Let o(b) = b**2 + b - 5. Suppose -3 = 3*f - 15. Let z be o(f). Calculate the highest common divisor of y and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 2)*(-5*u**3 + 0*u**3 + 4*u**3 + (0*u**2 + u**2 + 0*u**2)*(263 - 263 + 60*u)) to the form t*u + o*u**3 + g + z*u**2 and give o.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a decade?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4754509\/161 or 29531?\nAnswer: 4754509\/161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -231 + 272. What is the remainder when 365 - -4*5\/10 - 0 is divided by v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-20)*(-4)\/(-18). Let x = 0.3788 - 2.3788. Which is the fourth smallest value? (a) q (b) 24 (c) 2 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -17793*j - 711725. Give r(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -2*h - h. Let i be h\/(-15) - (-96)\/10. Let s = 30 - i. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 579 divide 455710056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + 2 + sqrt(9)\/sqrt(3))*-3 + ((sqrt(3) + -2*sqrt(363) + sqrt(3))**2 - ((0 + sqrt(3))*-4)**2))*3.\nAnswer: -9*sqrt(3) + 3402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7814 - -0.2186. Which is the third biggest value? (a) x (b) -1 (c) -3\/5 (d) -4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkk. What is prob of sequence kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) -2 (b) -0.5 (c) -1\/4 (d) 0.2 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-9)\/15 - (-12)\/20. Let p = g - -24. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 33?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1048, -1259, 0, 40 in descending order.\nAnswer: 1048, 40, 0, -1259","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 12. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zybzzsc. Give prob of picking 1 b and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -263, -295, -345, -413?\n\"Answer: -9*n**2 - 5*n - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - 5*m**2 - 2*m - 4. Let z(v) = 3*v**3 - 10*v**2 - 4*v - 7. Let s(w) = -5*c(w) + 2*z(w). Suppose 11 = q + 16. What is s(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -845 + 793. Let z be s\/(-18) - (-3 + (-338)\/(-117)). Let i = 2 + -4. Which is the third smallest value? (a) 23\/5 (b) i (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**3 - 4*p + 9*p**3 - 2*p**2 + 1 + 10*p. Let m be ((-1)\/(-2))\/(12\/120). What are the prime factors of f(m)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 73 and 1387?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3122 - 2465?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a**3 - 11*a**2. Let k(v) = v**2. Let s(m) = -i(m) - 6*k(m). Find the third derivative of s(o) wrt o.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (387 + 84 + 672)*((0 - 3 + 2)*(-2 + 2*n**2 + 2) + 4*n**2 - 5*n**2 + 4*n**2).\nAnswer: 1143*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -83*j + 46908 + 568. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 5*n - 20. Is 806 - (-2)\/n*-6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-104)\/(-624) - 11\/(-6). Solve -y = v*c, 9*c - 3*y = 4*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -8*y**2 + y + 1. Let m be o(-1). Let j = -6 - m. Suppose -4*k + 53 = r, 2*k + 2*r - 16 = -j*r. Calculate the least common multiple of k and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/51? (a) -2\/17 (b) 2\/9 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25274 = 4*f - f - 4*z, -33707 = -4*f + 7*z. What are the prime factors of f?\nAnswer: 2, 3, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1011 a factor of 3093914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2726239 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -6961*u - 111384. Calculate o(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*t**3 + 186182*t**2 + 2062393*t wrt t.\nAnswer: -54*t + 372364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 43*r - 4. Let b(x) = -35 + 94 - 32 - 28. What is -4*b(u) + h(u)?\nAnswer: 43*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5580 + -3214. Suppose 0 = -2*y - 484 + d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 218. Suppose 0 = 17*k - 8*k - y. Solve 0 = 3*p - 20 + k for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, z: 1, a: 3}. Give prob of picking 2 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1155 - 5?\nAnswer: -1204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**2 - 24448860*k - 195591200.\nAnswer: 5*(k - 4889780)*(k + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of r**6\/360 + 13*r**4\/24 - 2*r**3\/3 - 1. Let l(w) be the third derivative of x(w). List the prime factors of l(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**2 + 9314*w + 34309680 = 0. Calculate w.\nAnswer: -2423, 7080","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c**3 - 2*c**2 + 4. Suppose -a = -u - 16, 0 = -15*a + 19*a + 2*u - 34. Let x(v) = 3*v**3 + 4*v**2 - 7. Determine a*b(j) + 6*x(j).\nAnswer: -4*j**3 + 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413271.\nAnswer: 3, 47, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 11233919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - 1. Let v be m + (20\/2)\/2. Suppose -v*u = -5*n + 203, 114 = 2*n - 5*u + 16. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s. Let y(m) be the third derivative of -m**5\/15 - m**3\/2 + 6*m**2. Let k(l) be the first derivative of y(l). What is r(k(x))?\nAnswer: 8*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**4\/3 - 104*h**3\/3 + 2486*h**2\/3 - 2380*h\/3 = 0. What is h?\nAnswer: -70, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13464)\/(-85))\/33*10\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 5:05 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (j**2 + 0*j + 0*j)*(8 - 8 + 3*j)*(-67*j - 19*j + 128*j) to the form d*j + v*j**4 + a*j**2 + k*j**3 + z and give v.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 2*b - 626 = 3*y, 4*y - 5*b = -804. Is y > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 14. Let u(a) = 10 - r + a**2 - 5*a - 5*a. What is the units digit of u(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*b - 2)*(-31 - 61 + 7 - 19).\nAnswer: 208*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 5\/3 (b) -2 (c) 41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11841 (base 11) in base 15?\nAnswer: 5075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 790 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: Suppose -2*s - 3165 = j, -2*s + s - j = 1581. Let u = -2322 - s. What is the tens digit of (-4)\/(-14) + u\/(-14)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 7:12 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 3\/8, -0.3 in decreasing order.\nAnswer: 3\/8, -0.1, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 731197?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-209)\/76)\/(55\/10)*-104?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 162*k**5 - 1221*k**4 - 23040*k**3 + 102510*k**2 - 81282*k + 2871 = 0 for k.\nAnswer: -11, 1\/27, 1, 3, 29\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/242977 and 53\/824.\nAnswer: 1943816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19941 - 19938. Solve -4 = -4*l, 16 = r*d + 34*l - 33*l for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 796620 + -796619.8. Let n be (-1)\/1 + 10\/(-2). Let d be (2\/20)\/(-1 + 2). What is the smallest value in n, -5\/3, p, d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -12, 6, 34, 72, 120, 178, 246?\n\"Answer: 5*f**2 + 3*f - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 120*k**2 + 8*k + 9. Let v be x(-3). Calculate the highest common factor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x. Let q(t) = t**2 - 3*t**2 + 5*t**2. What is d(q(y))?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 66135, 264781, 595863, 1059381, 1655335, 2383725, 3244551?\n\"Answer: 66218*q**2 - 8*q - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 49, 59, 81, 121, 185, 279, 409?\n\"Answer: t**3 + 3*t + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + 6*d**2 + 9*d - 8. Suppose 0 = l - 4*h - 22, -l + 0*h + 2 = h. Determine g(l).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 72*v - 87. Let b be i(12). Let a = b + -236. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1. Let m(k) = 5*k - 10. Let i(f) = -3*f + 7. Let q(o) = 8*i(o) + 5*m(o). Suppose -w = -0*w + 1. What is w*q(a) + 5*r(a)?\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) 10 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -107*x**3 + 55*x**3 + 58*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/3)*q\/(q\/q**(-7))*q)**(-2\/5)*(q**(1\/2)*q**(-2))**44 assuming q is positive.\nAnswer: q**(-958\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 8:01 PM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351 - -366. Let j be 39\/z + (-18)\/30. Solve j*k = p - 12, p + 12 = -3*k - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 176036350?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -10. Suppose 33*d - 251 = 277. Suppose t = 2*g - 12, d*g + t + 19 = 19*g. What is the greatest common divisor of g and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 9, 0 = 6*o - 3*o - z. Let j(u) = 160*u**2 + 415854 - 415854 + 61*u**2. Is j(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -15. Let z be (u\/15)\/(2\/(-35)). Suppose 323 = 3*i - 55. Calculate the greatest common divisor of i and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f + 12*f + f - 6*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -118134 and -118136 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**3\/3 + 1. Let j(d) be the second derivative of -d**4\/4 + 705*d. What is j(q(c))?\nAnswer: -3*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*u = 66*u - 34. Sort u, 2, 446, 4, 5.\nAnswer: u, 2, 4, 5, 446","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - d + 22. Let q be i(-5). Suppose -q*c + 15 + 11 = 0. What is the remainder when 90 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -92\/7 + 95\/7. Let j = -5 + 4.7. What is the smallest value in 1, j, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 3\/5, 328?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b40 (base 15) to base 14.\nAnswer: -cd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0357 - 5.0357. Let w = 0.7 - -2.3. What is the fourth biggest value in 0.4, w, -1\/8, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4*q - 6*q)*(-3 + 5 - 3 + (-2 + 1 + 2)*(-445 - 524 + 561)).\nAnswer: 818*q + 818","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 284\/721 + (-4)\/(-14). Let q = 4989\/824 - j. Find the common denominator of 10 and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - l - m - 7*m - 18 = 0, -l + l + 5*m - 15 = 8*m for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, 2\/15, -152, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 795 is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*c + 24*c - 4*c - 128 = -24*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {v: 1, h: 7}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 14*w**2 + w. Let p be t(1). Suppose 75 = 5*g + p. Calculate the remainder when 21 is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 22. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c**2 + 112*c - 589. Calculate g(5).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*k + 8, 3*v + k - 20 = -2*v. Suppose -3*y - v*z = -10, -2*z + 53 - 13 = 5*y. Solve g = -g + y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 26760 = 7380. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 33 = 4*h + 12, 5*h = 2*v + 10. Let a = 162.3 - 162. Sort -1\/2, h, a in decreasing order.\nAnswer: h, a, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(136)*-6)\/sqrt(8).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + -41. Let r = v - -29. Suppose 0 = 2*a + a + 2*m - 1, -4*a = -m - 5. Put -5, r, 4, a in decreasing order.\nAnswer: 4, a, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 AM and 3:11 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8\/25 of a millimeter?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-33)\/(-2))\/11)\/(3\/(-6)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304180 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.1 + -22.87. Let t = h + 3.77. Which is the smallest value? (a) 5 (b) 14 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4*(-5)\/510)\/(2\/(-6)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 42 (b) -2\/9 (c) -71\/13 (d) -3\/2 (e) 1\/34 (f) 10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.12 + 0. Let v = 0.119999 - m. Round v to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b + 17 - 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 10\/51 (b) -1 (c) -2\/3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:27 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 10*q + 8. Let v be s(-8). Let a = -6 - v. Suppose m = 5*x - 0*m + 5, -x - 4*m = 22. Put a, 0, x in descending order.\nAnswer: a, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of u**6\/120 - u**5\/12 - u**4\/12 + 4*u**2. Let q be y(5). Is 4 a factor of 14*1*(-5)\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5539 - 6916 = -53*u. Is u a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -12. Suppose q + 122 = 4*q - 5*j, a*q + 5*j - 230 = 0. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 3*k - 17, -k - 2 - 1 = 0. Suppose 4*c - q = 2. Let d(b) be the first derivative of 4*b**3\/3 - b**2 + b - 1. What is d(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of -1\/6*l**3 + 0 + 0*l - 9*l**2 - 1\/12*l**4 + 1\/30*l**5. Does 23 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15609, 59298, 132115, 234060?\n\"Answer: 14564*x**2 - 3*x + 1048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13486930 divided by -3326?\nAnswer: 4055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 128*k**2 + 366*k + 28. Determine a(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u - 3*n - 585 = 0, 198*u = 200*u - 2*n - 54 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 225 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -45*y - 95 - 130 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1626)\/(-140) + 4\/14 and 128\/(-56) + 2 - 138\/28?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 189, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5))**(-11)*(u**(-2\/3))**38)\/(((u*u\/u**6)\/u**(2\/11))\/(u**(2\/7))**(2\/63)) assuming u is positive.\nAnswer: u**(-406088\/24255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52706862 and 702.\nAnswer: 52706862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 21) + (-46 - -74)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v + 103*v - 20*v - 651 = 0. What is the highest common divisor of 973 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47360 divided by 128\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160 = 1460*u - 1461*u - 3*j, -5*j - 260 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -12692, -25234, -37774, -50312, -62848, -75382, -87914?\n\"Answer: r**2 - 12545*r - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2*192\/128)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpz when three letters picked without replacement from ttttztptzptttttzt.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - ((-3 - -2) + -1). Suppose 2*u = 3*u - 2*d, o = 5*u - d - 18. Suppose -70 = -u*h + 38. What are the prime factors of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 15 + 1280a132?\nAnswer: 1280a147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 806104936 to the power of 1\/3, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/12 + 5\/15. Let b = 3 - s. Find the first derivative of 7*f**2 + 11*f**b + 13 - 27*f**2 wrt f.\nAnswer: -18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 977100 is divided by 4176?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 w, and 1 j when three letters picked without replacement from jjdrwbbbrbbrrbbb.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -904935 or -904938?\nAnswer: -904938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 189878651 to the power of 1\/2, to the nearest integer?\nAnswer: 13780","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8967 is divided by 331?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 21) + (-3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, v: 3}. What is prob of picking 1 v and 2 r?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(360) + sqrt(360) - sqrt(360))\/(sqrt(48)\/(-3*sqrt(6))).\nAnswer: -18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z - 55 = -11*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13056 at most 13058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -449, -3533, -11905, -28211, -55097?\nAnswer: -95209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - r**2 + 2*r + 6. Let m be z(-2). Suppose m = 8*l - 6*l. Let v(d) = -4*d + 2. What is v(l)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 2*z = 2*z + 102, -4*z + 60 = 4*g. What is the smallest common multiple of 16 and g?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3736 (base 8) in base 13?\nAnswer: -bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 2*f = -10, 1855*f - 1851*f = 4*j - 20. Solve j = -5*u - 5*p, u + 155*p = 153*p + 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {i: 11, g: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - x - 3. Let f(i) = -82*i**2 + 4*i + 7. Calculate -f(j) - 3*l(j).\nAnswer: 85*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 860759771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68 + 97. Suppose -3*g - 18 = -y - 5, -5*g - c = -2*y. Which is smaller: y or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1\/10 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/7))**44*(v\/v**(6\/13))\/v**(2\/3) assuming v is positive.\nAnswer: v**(3397\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c + 6. Let n be a(-2). Suppose -212 = -n*w - 2*w. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 479088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 4877*j - 1 + 3899*j.\nAnswer: 8776*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**9\/1512 + f**6\/48 - 5*f**4\/12 + 6*f. Let l(s) be the third derivative of u(s). Find the second derivative of l(j) wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + 2*v**2 + 2. Let f(w) = w**3 + 4*w**2 + 3. Suppose -54*j = 170 - 8. Calculate j*f(q) + 5*k(q).\nAnswer: 2*q**3 - 2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1245\/(-6)*9\/(360\/(-32)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f + 52. Let a be s(13). Solve -m + 4*m + 3 = a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45 - 66. Let l be (k\/28)\/((-1)\/(-4)). Let x(i) = -i + i**2 - 4 + 5*i - i. Calculate x(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7800, 7378, 6956?\nAnswer: 6534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmfpmpmmffp. What is prob of sequence pm?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -93*n**2 - 10*n + 10*n + 91*n**2. Let w(b) be the third derivative of -17*b**5\/20 - 2*b**2 - 8. Determine g(w(a)).\nAnswer: -5202*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6930*m**3 + 20*m**2 + 3450*m**3 + 3476*m**3 + 64 + 88*m = 0.\nAnswer: -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -93, -110, -161, -264, -437?\n\"Answer: -3*k**3 + k**2 + k - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -185 - -2406\/13. Let a = 62.6 + -57.6. What is the biggest value in a, t, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -132 >= -133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 5877695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1316*i**2*q**3 + 305*i**2*q + 114*i**2 + 6275*i + q wrt q?\nAnswer: -3948*i**2*q**2 + 305*i**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 264950 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*s**2 + s - 14837*s**3 - 1 - s + 14840*s**3 to a*s + m*s**2 + f + p*s**3 and give m.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 13*r**5\/10 + r**4\/2 - r**3 + 3*r**2 - 562*r. Let p(v) = -286*v**3 - 65*v**2 + 65*v - 65. Calculate -6*p(m) - 65*t(m).\nAnswer: 26*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 12172*n**2 + 72924*n + 109332.\nAnswer: 4*(n + 3)**2*(n + 3037)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, q: 6, u: 8}. Give prob of picking 3 u.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.85 in -4, -0.1, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/20)\/(2\/(-4))*(-356825)\/(-42819).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 266.627821 to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/22*(3843 - -3). Let i = 175 + y. Is i equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*x + 24876 = -x. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 368 + -377. Sort q, 4, -2 in decreasing order.\nAnswer: 4, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -905.1 + 1034. Let i = -127 + q. Let n = i + -7.9. Which is smaller: 0.3 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27950479906 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, y: 9, j: 1, d: 1}. What is prob of picking 1 s, 1 y, and 1 d?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-18))\/(1\/(-15)). Let q(k) = -2*k**2 - 5 + 9 + 3*k**2 + 0*k + 3*k - 9. Calculate q(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 119\/14*(0 - -53 - -3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6)*h*h*(h\/((h\/(h\/(h\/((h*h**(-2\/11)*h*h)\/h*h))))\/h))\/h*h)**(-1\/16) assuming h is positive.\nAnswer: h**(-395\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 2:44 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.6128 rounded to one decimal place?\nAnswer: -21.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -700 - -697. Let m = 0 + v. Let y = -615\/224 + 19\/7. What is the nearest to -1 in y, 0.5, m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1166570 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 4*z + 7 - 20.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 182009.\nAnswer: 182009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 24 = -3*p. Let f = 9 + p. What is k in -3*k**f - 3*k - 3*k - 3*k + 9*k**2 + 3 + 0*k = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 443*c**2 - 2*c - 2. Let h be f(-2). Is (-4)\/30 + h\/30 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -603, -604, -605, -606, -607?\nAnswer: -608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-55)\/(55\/(-5)))\/(39590\/428)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p - 4. Suppose -x - n + 4 = 0, 4*n = -3*x + 10 + 3. Let i be q(x). Suppose 0*z - 2\/5*z**3 + 0 + 0*z**i - 2\/5*z**4 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 48968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 936225\nAnswer: 14\/936225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 579252588?\nAnswer: 2, 3, 127, 373, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*n**3 + 30*n**3 + 17*n**2 - 5*n**6 wrt n?\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (258*l - 170 - 384*l + 123*l)*(-3 - 4 + 6).\nAnswer: 3*l + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7242039?\nAnswer: 3, 7, 139, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55) - (1*sqrt(605))\/sqrt(11))\/(sqrt(121)\/(sqrt(33)\/sqrt(3))) - (5*sqrt(25)*-1)\/(sqrt(180)*2).\nAnswer: 5*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 11\/5, -70, -1247, 2, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**6\/120 + x**5\/30 + 11*x**3\/3 + 212*x**2. Let k(f) = -f + 152. Calculate the remainder when k(0) is divided by w(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/73, -3, 4\/47, -5, 5?\nAnswer: 4\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 35, 79, 143, 233?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36636 and 516?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/10, 3, 10\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(180)*-1)*2)**2 + -3 + ((sqrt(180) - (2 + sqrt(180))) + 3 - sqrt(180)).\nAnswer: -6*sqrt(5) + 498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 41 = -103. Let m be i\/(-9)*2*(4 - 7). Which is smaller: -34 or m?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:05 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 150466 + -106466. Round l to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/7)*q**(-2\/7))\/(q\/(((q**(-2\/15)\/q)\/q)\/q)*q\/(q**(-3)\/q)) assuming q is positive.\nAnswer: q**(-1049\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -269 - -287. Calculate the remainder when (9\/i)\/(((-1)\/(-426))\/1) is divided by (0\/2)\/1 - -36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4198914 + 1.\nAnswer: 4198915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15632857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and 0.01743.\nAnswer: 11.01743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -258\/1164289 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18148 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 681 - 651 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2+-136\nAnswer: -138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-19 - -20) + ((-48)\/(-15))\/(-4))*-5. Put 0, j, -87, -2, 2 in decreasing order.\nAnswer: 2, 0, j, -2, -87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.332 + -0.132. What is the third biggest value in d, 2\/21, 5, 3\/8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 986 (base 10) to base 8\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3586*b. Let l(n) be the first derivative of n**2\/2 - 1398. Give l(h(r)).\nAnswer: -3586*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 19764224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 - 41*y**2 - 48 - 6*y**2 - 19*y**2 + 84.\nAnswer: -66*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26939.\nAnswer: 11, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1851330 is divided by 2683.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (123\/7)\/(45\/870). Let j = -340 + p. Let w = -6 + 1. What is the second smallest value in j, 3, w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15 less than or equal to 316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -46256 divided by -784\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5\/24 of a week?\nAnswer: 2100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78.827 + 0.173. Let d = 81 - k. Which is the second smallest value? (a) -0.06 (b) -0.1 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of q**4\/24 + 3*q**3 - 6*q**2. What are the prime factors of b(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**2 - 3*k - 4. Let b = -3 + 1. Let f(z) = -10*z - z**2 - 4*z - 4 + 6 - 5 + 12*z. Calculate b*x(i) + 3*f(i).\nAnswer: i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 108934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6186*q + 4136*q**2 - 78 + 29 + 343*q + 31 + 20 wrt q?\nAnswer: 8272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2310 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*c*w**3 + 12*c*w + 83*w**3 - 2*w wrt c.\nAnswer: -14*w**3 + 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7338.194 centimeters to kilometers.\nAnswer: 0.07338194","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 180\/2261?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 21 = -a, -2*j + 7*j + 22 = 3*a. Let i(p) = -p**3 - p**2 - p. Let b(t) = 4*t**3 + 4*t**2 - 6*t + 5. Let r(h) = a*b(h) + 4*i(h). Is r(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - -0.94. Let h = 0.95 - -0.05. Let y = h - s. What is the smallest value in -0.5, y, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146684899 to the power of 1\/2, to the nearest integer?\nAnswer: 12111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233 + 232. Which is the second biggest value? (a) t (b) 4 (c) -5 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ssdsssss.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13987, -32153, -50323, -68497, -86675?\nAnswer: -104857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 3 + 4 - 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 47. Let x = -2526\/5 + 500. Let m = z + x. Is 0 >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y + 24. Let q be y\/(-320)*(1 + 0)*6. Which is smaller: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59 and 452.\nAnswer: -26668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 850832 and -1778238.6.\nAnswer: -927406.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 56*r - 1400. Let g be b(25). Sort -4, -73, g, 2 in ascending order.\nAnswer: -73, -4, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 752 + 78255151.169.\nAnswer: 78255903.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -5. Let h = 2 + q. Let s = 4 - h. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (803*124\/27156)\/(1034\/4).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*w + 21*w = 6*g + 104 - 40, 10*w = -2*g - 4*g + 140 for w.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -1378, 2, -30.5?\nAnswer: -1378","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(486\/(-1035)))\/(5\/3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422409773 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 140 and 32270.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (8 - (26 + (-4 + 3 - 6))).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 33*u - 11 = 37*u, 5*v + 5*u + 45 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1665075215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -2*f**4\/7 - 120*f**3\/7 + 958*f**2\/7 + 1308*f\/7 - 2144\/7 = 0.\nAnswer: -67, -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4271 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of i**5\/60 + 3*i**4\/8 - 10*i**3\/3 - 24*i**2 + 1. Calculate v(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - a + 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 149927238.\nAnswer: 449781714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16066 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1373*l**2 - 3454*l**2 - 2038*l**2)*(5*l**2 + 2*l**2 + 1 - 5*l**2) - l**4 + 2*l**4 + l**4.\nAnswer: -8236*l**4 - 4119*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyr when three letters picked without replacement from ocrooyoycroyreoooeo?\nAnswer: 9\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -304 (base 6) in base 16?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 0*x**4 - 1 + 2\/5*x**5 + 0*x**2 - 2\/3*x**3 + 0*x. Determine j, given that t(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -7*v**3 - 5*v**2 - 6*v + 5. Let j(z) = -z**3 + z**2 + z - 1. What is -5*j(q) - w(q)?\nAnswer: 12*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3715 - 12829 - 3640 = -228*a - 4224 for a.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7018 and 726?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.66582 - -25.63. Round y to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2246, -2248, -2250, -2252, -2254?\nAnswer: -2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q - 13. Let w(a) be the second derivative of -a**5\/20 + 3*a**4\/4 - a**3 - 7*a**2\/2 - a. Let u be w(8). List the prime factors of i(u).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*y + 213*y - 546 = 0. Let a be (18\/(-312))\/(y\/(-16)). Does a = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 5*t, -3*m - 2*m + 2*t = 0. Let u be (m + 15)*3460\/6. What is u rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.5 and 355462.9.\nAnswer: 355463.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.07 (b) 0.6 (c) 0.5 (d) 4 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -245104 (base 6) to base 2.\nAnswer: -101010101100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 16.3521, 6, 1.3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20736.798 months to decades.\nAnswer: 172.80665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -1336?\nAnswer: -1339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/240*-52*-2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - (115 - 15 - 60)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 2*u**5 + 0 + (3*u**4 - 6*u**4 + u**4)*(0 + u + 0) + (220*u**3 - 253*u**2 + 253*u**2)*(4*u - 4*u + 3*u**2).\nAnswer: 656*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/35 + (-8)\/(-10))\/(18\/81). Solve -v*n + 911 - 938 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/21 and 41\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-15)*4\/(-3). Let d(h) = 9*h**3 - 78*h**2 - 26*h - 6. Let f be d(9). Let s be 1\/(-2*(-2)\/4). Which is the nearest to -0.1? (a) s (b) f (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 AM and 1:37 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 50272953401 take away 0.0653?\nAnswer: 50272953400.9347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 462 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1106 is divided by 264?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of -7*v**6\/40 + v**4\/12 - v**3\/3 - 123*v**2 - 1. Let d(s) = -22*s**3 + 3*s - 3. Determine -3*a(q) + 2*d(q).\nAnswer: 19*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-4))\/((-35)\/10). Let x = -8.51 + -27.79. Let o = x + 36. Which is the biggest value? (a) -2 (b) o (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 9. Suppose -15 - o = 6*w. Let c(q) be the third derivative of q**6\/120 + q**5\/12 - 5*q**4\/24 - q**3\/6 - 2*q**2. Give c(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 20*b**2 - 5*b - 5. Let p(d) be the first derivative of 2*d**3\/3 - d**2\/2 - d - 39. Let q(f) = -5*p(f) + w(f). Let x(i) = -2*i. Give q(x(l)).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -180*m - 337*m = 119*m + 1272 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100 (base 2) to base 15.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 6*u**2 - 2*u - 2. Let a(b) = 2 + 2*b - 2*b**2 + b**2 - 1 - b. Suppose 4*r - 4*z + 9 = -19, -5*r - 2*z = 0. What is r*a(w) - c(w)?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -932 - 926 - 293*y**3 + 2022 wrt y?\nAnswer: -879*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 16605*n**3 + 215870*n**2 + 365375*n + 110 = 0.\nAnswer: -11, -2, -1\/3321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1060.12989 rounded to 1 decimal place?\nAnswer: -1060.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/((o*o*o\/(o**(-4\/17)\/o))\/o)*o**(2\/29)\/o assuming o is positive.\nAnswer: o**(-1068\/493)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 5*y + 5. Let l be q(-4). What are the prime factors of 0*(0 - l) - -17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 + 5*s - 2. Let x be m(-5). Let h(q) = q - 10. Let g be h(8). Let b = g - x. Solve -4 = -b*c - 4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 371 - 386 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -404 equal to -26.98?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 583?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a**3 + 74*a**2 + 44*a - 22. Let y be p(-24). Suppose y*q - 83*q = -180. Calculate the lowest common multiple of q and 694.\nAnswer: 6940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 12:31 PM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42 + -25. Let k = 19 - m. Let w = 1 + -2. Sort -5, w, k in descending order.\nAnswer: k, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 92.88168mm?\nAnswer: 92881.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 13. Put -2\/3, -5, k in ascending order.\nAnswer: -5, k, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57240096 and 2976.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 7) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.66737894 to the nearest integer.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express q**3 - 2*q**2 + 6*q**2 - 4*q**2 + 3*q**4 - 2 in the form b*q**4 + f*q**3 + a*q + l*q**2 + g and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 516*p = -15792 - 28584 for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8. Let u be k + -2 - (2 + -9). Let r(c) = -6*c - 5. Let n(i) = 7*i + 6. Let v(w) = u*r(w) + 5*n(w). Let b(t) = 6*t. Calculate b(g) + 5*v(g).\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 274792 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 717613 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 5*n = -6*n - 26, -n - 56 = -2*h. Suppose 2*r = 2, l = -2*r + r + 3. Suppose h = l*u + u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - z - c = 13, -5*z - 3*c + 12 = 0. Let y be 1\/(-1) + (4 - -21). Suppose -3*f = -6 - y. Solve i + 0 = -3*h - z, 5*h + f = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1866142213508 take away -0.3?\nAnswer: -1866142213507.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 10*u - 10. Let s be o(11). Let a be (78\/18 - 4)\/(-1*s). What is the third smallest value in 0.1, 0, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**5\/30 - 1109*x**4\/18 + 2221*x**3\/9 - 1111*x**2\/3 + 147*x + 26. Factor q(j).\nAnswer: -2*(j - 1)**2*(j + 1111)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1730 is divided by 37?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3134143343 (base 5) to base 2.\nAnswer: 11000111111110110001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755045717?\nAnswer: 37, 20406641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -601868666*n**3 + 431358658*n**2 wrt n?\nAnswer: -3611211996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 528, 2121, 4770, 8475, 13236, 19053?\n\"Answer: 528*g**2 + 9*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 110010110011111101 (base 2) to base 11\nAnswer: 132405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = h + 4*h + 5*t, -4*h + 2*t + 18 = 0. What is the lowest common multiple of 1849 and h?\nAnswer: 3698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**4\/9 + 2*x**3\/3 + 26*x**2\/9 - 10*x\/3.\nAnswer: -2*x*(x - 5)*(x - 1)*(x + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 3\/5 (b) -5 (c) 268 (d) -11209 (e) 5 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 2*i + 1. Let p be s(-3). Suppose p*d = 4*f, -5*f = d - f. Let z be -2 - (1 + d + -3). Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*l = 18, 0 = -x + 2*x + l - 2. Let k be 112\/(-42)*6\/(-4). Sort x, -5, 2, k in increasing order.\nAnswer: -5, x, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x - 1. Let u(s) = -24*s + 4. Let d(r) = 7*r - 70. Let g be d(12). What is g*c(w) + 3*u(w)?\nAnswer: -2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -52 - -36. Let j = t - 22. Let l = -38 - j. Is l > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 4)**2 + 2 + (sqrt(245) - 3*sqrt(245)*-1) + (1*sqrt(245)*6 + -1 + 3)**2.\nAnswer: 252*sqrt(5) + 9087","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -413, -924, -1639, -2558?\nAnswer: -3681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -20, -105, -248, -455, -732, -1085, -1520?\n\"Answer: -u**3 - 23*u**2 - 9*u + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1785107089 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 4*k**2 - k + 8. Let u be z(4). Suppose -4*f - f = -10. Solve 0*w + 6 = -f*w, 8 = 4*g + u*w for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 2*j - 13 = 3*r, 17 = -3*r - 4*j for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -33.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 10 + 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.86 (b) -0.23 (c) -0.7 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12798 and 45.\nAnswer: 63990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2773448 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17708*j**2 + 294*j - 91*j**4 + 17707*j**2 + 2 - 35414*j**2 wrt j.\nAnswer: -1092*j**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-36)\/(-96)*(-24)\/(-6 - -5). Solve -24 = a*o - 6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 7. Let f be j(-5). Let t(n) = n**3 + 24*n**2 + 25*n + 50. Let y be t(-23). Let k = y + f. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let f = 39 + 3. Let l be f\/4 + o\/4. Calculate the highest common factor of l and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3304324 or -3304325?\nAnswer: -3304325","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 736.228813 and 57.\nAnswer: 793.228813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4862197 is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 802 + -795. Solve 5*v = g*v - 2 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 1, 446674 in decreasing order.\nAnswer: 446674, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3411, -5, -3, 5, -0.34?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 3 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653579929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -165 (b) 0.4 (c) -3 (d) -79 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 931 + 1777. Is x a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 571\/4 + -142. Factor c*p**2 + 1\/4 + 3\/4*p + 1\/4*p**3.\nAnswer: (p + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-25 - -23) + -17\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1376514677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 7:44 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -255369500 to the nearest one million.\nAnswer: -255000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {n: 3, r: 3, s: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3475 and 8201?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**16*z)\/z)\/z)\/(z**(-2\/3)\/z*z))\/((z*(((z*z*z**0*z*z)\/z)\/z)\/z*z)\/z)**(-16) assuming z is positive.\nAnswer: z**(143\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -24dba6 (base 14) to base 6\nAnswer: -43055022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -10 - 14. Let w be ((-64)\/f - 5)*0. Suppose -2*z + 4*z - 316 = w. List the prime factors of z.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.62 + 1.52. Let t = 5025 - 5027.4. Let u = t - q. Round u to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/54 and 139\/42.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -22615335 to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*r + 2*r = -6, -2*u + 3*r = -24. Suppose 0 = u*x - 2*x - 428. Is x a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 3*w - 12. Give d(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3286, -3288, -3292, -3298, -3306, -3316, -3328?\n\"Answer: -d**2 + d - 3286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t. Let f(w) be the second derivative of 0*w**3 + 0*w**2 - 5\/6*w**4 + 0 + 15*w. Calculate h(f(c)).\nAnswer: -30*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g + 21. Is q(-18) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 e when three letters picked without replacement from ekeekbkkekeekkqke.\nAnswer: 49\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1001221211 + 0?\nAnswer: 1001221211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 875371?\nAnswer: 7, 125053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q**2 + 2074*q - 2074*q.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.02, -2\/7, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 + 7136*y + 14268.\nAnswer: (y + 2)*(y + 7134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*c + 81*c - 51*c + (c + 0 + 0)*(3 - 1 + 0) to f*c + i and give f.\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -425, -4, 22.\nAnswer: -425, -5, -4, -1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, i: 7, m: 7, h: 1, a: 3}. What is prob of picking 1 i, 2 a, and 1 r?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 5, 17, -0.2 in decreasing order.\nAnswer: 17, 5, -0.2, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-o**2 + 2*o**2 - 2 + 0*o**2)*(-429*o**2 + 1 - 14 + 13)*(-2 - 17 - 3) in the form n*o**3 + f*o**4 + x*o + v*o**2 + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 1153 + 425 = 0. Is 34 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 + 4*v**3 + 9*v**3 + 4*v**3 - 2*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33*r**3 + 5*r*u**2 - 298*u**2 + 3*u wrt r?\nAnswer: 99*r**2 + 5*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*p - 10 = 3*n, 5*n + 3*p = 39. What is the units digit of 6\/8 + n\/36?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(125) - (4 + sqrt(125) + 0 + sqrt(125))) + sqrt(125)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 64*t**2 - 6*t - 3. Let c(f) = -126*f**2 + 14*f + 7. What is -3*c(z) - 7*q(z)?\nAnswer: -70*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-one fifths of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41.2*-0.3198\nAnswer: 13.17576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/4 - 5*a**3\/3 + a**2\/2 - 2*a + 16. What is o(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 4*w**2 + 4*w - 9. Let n be t(3). Let p be (-3)\/((1 - 9\/12)*n). Solve 2*f + h + 5 = 0, -p*f = f - 3*h - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1288588 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 4:29 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 95 - 59. What is the remainder when 537 is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203\/5 - -2649\/65. Let n = 3 + -1. What is the third smallest value in q, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 116 = -k, 3*k = -4*o + 32 + 76. What is the remainder when o is divided by 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44758.001 + -44793. Let b = -35 - c. Let h = -7.499 + b. What is h rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-30 + 11*m**2 + 30)*(2 - 2*m - 4 + 3 + 2*m**2) to s + i*m + t*m**3 + l*m**4 + c*m**2 and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3759*v**2 - 2563*v**2 + 45*v**2 + 3562*v**2 + 3514*v**2.\nAnswer: 8317*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)\/(sqrt(48)\/sqrt(4)) + sqrt(19) + -1 + 0 + -3)**2.\nAnswer: -16*sqrt(19) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + 1*sqrt(66)*3 + sqrt(66) - 2*sqrt(66)*4)\/(sqrt(54)\/(sqrt(18)\/sqrt(2)*-3)).\nAnswer: 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-3 + 1))\/1. Let n be 18\/27 - 176\/(-6). Suppose -29*c + n*c - 2 = 0. Solve -g*r + q = -2, 7*r - 2*r - c*q - 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3121 + 3121. Let f = 84\/1003 + 2\/59. What is the closest to 0.1 in f, -2, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1563 - 312?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/75 and (5\/(-360))\/((-195)\/8541)?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**4)**(-41)\/(o**(-1\/23)*o\/o**22) assuming o is positive.\nAnswer: o**(-3288\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 378?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**3 + s**3 + 0*s**3)*(-s + 0*s + 2*s)*(-4 - 3 - 1).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4 and -4405.\nAnswer: -4409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31975\/4674 - 6\/779. Calculate the common denominator of l and -37\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/12)\/(2\/(-30)). Sort 2, b, -6 in decreasing order.\nAnswer: 2, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o**(-1)*o*o)\/o)\/o)\/o*o)\/o**(2\/11))**45\/((o**(2\/3))**(13\/2))**(-33) assuming o is positive.\nAnswer: o**(988\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**2 + 4*u - 1. What are the prime factors of y(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 6) to base 7\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*s + 2*k, s - 3*s + 5*k = -11. Let f = s - 6. Let h(a) = 4*a**3 - a**2 - a - 3. Is h(f) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 20994*u**2 + 62968*u + 41976.\nAnswer: 2*(u + 1)*(u + 2)*(u + 10494)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of f**4\/4 - f**3 - f**2\/2 - 1. Let d = 1 + 2. Let p be z(d). Let h(a) = -a**2 - 4*a + 1. Give h(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16034, -30992, -44864, -57650, -69350, -79964, -89492?\nAnswer: -97934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n - 15. Let m be u(-8). Which is bigger: m or 4\/157?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4086.1 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*i - 2*l + 24, -3*l = -9. List the prime factors of (i\/21)\/(1\/35).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:12 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/12)\/(3\/(-10)). Let d(t) = -t + 7. Let p be d(w). Suppose p*x + 96 = 5*x. Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w. Let k be z(0). Let d(g) = -4*g + g + 3*g + g + 4. Let h be d(-2). Solve -h*p - 6 = -k for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2024545 + -20?\nAnswer: -2025005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/2 + 7897*j - 771505\/2.\nAnswer: -(j - 15745)*(j - 49)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, -2, -53, -136, -257, -422, -637, -908?\nAnswer: -1241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25 in -0.5, -30718, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 11*z - 7728 = 0. List the prime factors of z.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 7*b + 188, b + 37 - 9 + 12 = -6*n for b.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is r in r**2 + 1228*r = 0?\nAnswer: -1228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4895053 to the nearest integer?\nAnswer: 2212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.05 and 47857699.\nAnswer: 47857699.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2, -8, -20, -34, -50, -68?\n\"Answer: -s**2 - 7*s + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = l + 6. What are the prime factors of (-146)\/(-10) - l\/5?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d64 (base 15) in base 12?\nAnswer: 18b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 7, 0.365?\nAnswer: 0.365","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -16 - 4 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 + 66\/(-90). Let k = 0.2 - 0.3. Let l = 1.1 + k. What is the third smallest value in l, c, -5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -4) + ((0 - 0) + 105 + -111 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-448)\/8400)\/((-1)\/30).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a - 9 + 9 in the form d + s*a and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9*(-2 + (-16)\/(-6)). What are the prime factors of k\/((9\/(-6))\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 3, s: 1, e: 4, y: 5}. Give prob of sequence aw.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i**2 + 9*i - 7. Let u be d(-5). Suppose -u*s = -15*s - 3880. Is 10 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q. Suppose 0 = -9*u - 1679 + 1724. Let p(j) = -6*j + 1. Calculate u*h(d) - 4*p(d).\nAnswer: -d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -127\/4. Find the common denominator of v and 29\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -0.5, -1 in descending order.\nAnswer: 1, 0, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 5*w**2 + w. Let p(b) = 2*b**2 + 101 - 101. Calculate f(p(h)).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208)*-1*-1 + -1 + sqrt(208) + -1)*3)**2 - ((sqrt(637)*1 - sqrt(637))**2 + 4 - (0 + sqrt(6292) - sqrt(6292))**2).\nAnswer: -288*sqrt(13) + 7520","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 602 and 6194451.\nAnswer: 86722314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 56 = 285*s - 289*s, -17*h + 109 = 3*s - 143 for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/13, 14, 5, 0.5 in ascending order.\nAnswer: -1\/13, 0.5, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uko when three letters picked without replacement from ohowunuknhkuuw.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1198834 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 11\/10 of a millimeter?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilogram in grams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -55*c**4\/4 + 70*c**3 + 187. Find the third derivative of o(g) wrt g.\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1460, 2906, 4352, 5798, 7244?\nAnswer: 8690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, a: 7, q: 4}. What is prob of picking 1 k, 1 a, and 2 q?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a*g**2 + a*g*k**2 + 29*a*g*k + 8*a*g + g**2*k**2 - 2975*k**3 wrt k?\nAnswer: 2*a*g + 2*g**2 - 17850*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -472 - -475. Solve 0 = q*m + i + 10, 5*m - 3*i - 8 = -20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 1439 (b) 0.138 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*o = 10, 4*m + 5*o = 10 + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32636140 (base 7) in base 12?\nAnswer: b39837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-4)*((-20)\/(-35))\/1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9\/7 - 11\/14. Let l = -0.54 + 0.24. Let x be -1 + 10\/14 - 0. Which is the closest to x? (a) l (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/3 - 41932*l - 125792\/3.\nAnswer: -4*(l + 1)*(l + 31448)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2253, -2286, -2315, -2340, -2361?\nAnswer: -2378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 377 and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132901, -132906, -132911, -132916?\nAnswer: -132921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 8) in base 12?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 140\/126*6\/10.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/((f**7*f)\/f))*f)**(6\/13) assuming f is positive.\nAnswer: f**(48\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.449 + 0.049. Does 1 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 872\/12801 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -7 - 5. Suppose 0 = z + v*z. Let o be (3 - -9) + (0 - (-3)\/(-15)*35). Sort o, -5, z in descending order.\nAnswer: o, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (16 - (-24 - -31 - 18)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 2 + 3 - 3)*(-48*l + 253 - 253) + 0*l + l**2 + 0*l.\nAnswer: 97*l**2 - 96*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1562108, 1562106, 1562104, 1562102?\n\"Answer: -2*z + 1562110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -8*j + 5*j. Let p = j - -1. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7 and -112240294?\nAnswer: 112240301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11441003 divided by -5\nAnswer: 11441003\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - -3. Suppose 0 = 2*s - 7*s + 15. Is 3*c\/9*s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11213202 + -10?\nAnswer: -11213212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 54505409298069 - -3?\nAnswer: 54505409298072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 6*f**2 + 5*f. Let q be p(5). Suppose 8*n + 3106 - 12338 = q. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10096732859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) 1\/4 (b) -0.4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*i + 14 = -990*i - 3*p, 3*p - 21 = -6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2607646*t**2 - 2607669*t**2 - 16*t + 21*t.\nAnswer: -23*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 6. Let b = -605 + 635. Calculate the greatest common divisor of b and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1499043739 to the power of 1\/2, to the nearest integer?\nAnswer: 38717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-2) + 0)*-1. Which is the second smallest value? (a) -0.03 (b) u (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x = -4*i + 96, -22296*x + 22292*x - 4*i + 80 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543144 is divided by 8023?\nAnswer: 5603","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 424 and 713221.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 27\/(-16)*(18\/(-14) - -1)*(-42)\/18?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*o**4*s**2 + 48*o**4*s - 4*o*s - 2*o + 752*s**2 wrt o.\nAnswer: -828*o**2*s**2 + 576*o**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a. Let w(c) be the second derivative of -c**3\/6 + 7*c. Give p(w(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, 312, 2, 86533 in decreasing order.\nAnswer: 86533, 312, 5, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2422584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17605096 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 11:17 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2417136 is divided by 221.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2971*y - 2282*y + 3765*y.\nAnswer: 4454*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/18 and (-19)\/(-30) - (-7)\/(-21).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 26*l**3 - 5*l**2 - 5. Let j(y) = y - y + 8973*y**2 - 6 - 8979*y**2 + 27*y**3. Give 6*f(v) - 5*j(v).\nAnswer: 21*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 7:18 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 26*j - 48. Let m be u(2). Solve d - 1 = -m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y + 115 = 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1955 and 1530.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g - 173. Let q be c(-19). Is -18 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14199294.\nAnswer: 2, 3, 59, 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*z = 6*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2663 by -7810.\nAnswer: 2663\/7810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*r + 5*y - 8 = 120*r, -3*y = r + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1 and 2775288?\nAnswer: 2775289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -v + 3405, -v - 44*s + 50*s = -3413. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 6*c + 200. Let x be d(-14). Let l(b) = -4*b. Let o be l(-2). What is the highest common factor of x and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n + 6*n = -2*n + 4*n - 2*p - 8, 0 = -2*p + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 - 15*f**3 + 64*f**3 - 15*f**3 - 16*f**3.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*z**4 + 178*z**3 + 129*z**2 - 27239*z - 2?\nAnswer: 24*z**2 + 1068*z + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481*x = -469*x - 5232. List the prime factors of x.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32201203 - -400?\nAnswer: -32200303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*t + 3621 - 10828 + 3616 + 3590)*(0*t + 2*t + 2*t).\nAnswer: -88*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*n - 67*n = -7452. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-5*(sqrt(5) + (sqrt(405) - (sqrt(405) + -1 - sqrt(405)))).\nAnswer: 20 + 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8)*-2*(-2)\/24\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/656)\/((-447)\/596). Are -1 and o nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 2*j**2 - j + 0*j**2 - 4*j**2 + 3*j**2 - 2*j**2 + 0*j**2 + 0*j**2 + (-j + 2 - 2)*(j + j - 3*j) + (0 - 1 + 0)*(33*j - 7*j**2 - 33*j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2.19 (b) 1\/10 (c) 2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -56 - -73. Let y be (1 + 1)*o\/(-221). Put 3, y, 0.4 in decreasing order.\nAnswer: 3, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d + 18. What is the third derivative of 6*o**d - o**6 - 5*o**2 - o + o wrt o?\nAnswer: 600*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -56546997, -56546995, -56546993, -56546991, -56546989?\n\"Answer: 2*p - 56546999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -11*u**2 + 12*u - 32. Let g(j) = -4*j**2 + 4*j - 11. Let d(y) = 8*g(y) - 3*t(y). Suppose -22*z = -14*z + 40. List the prime factors of d(z).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*x + 101. Let z(r) = -r + 9. Let n be z(x). What is the highest common divisor of n and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*j**2 - 2212*j - 4408 = 0. Calculate j.\nAnswer: -551, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(33)\/(sqrt(3) - 2*sqrt(3)) - ((sqrt(33)\/sqrt(3) + 5)**2 + 4).\nAnswer: -14*sqrt(11) - 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*n + 69*n = 28. Let g(x) be the first derivative of 2 - 1\/4*x**n + 0*x**2 + 0*x**3 + 5*x. Find the first derivative of g(b) wrt b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*a + 11*a**2 - 17*a)*(-3 + 3*a - 2*a + 2).\nAnswer: 11*a**3 - 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4, -15, -24, -31, -36?\n\"Answer: h**2 - 14*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/8*p**2 + 0 + 1\/4*p = 0. Calculate p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1257?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.4, -1\/3, 1\/6, -132?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 69402417159 minus 5?\nAnswer: 69402417154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 3. Suppose x*f + 4*k - 16 = 2*k, -4*f + 3*k = 4. Which is smaller: 4 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/4)\/((-10)\/(-4)). Let k(z) be the third derivative of z**5\/60 - z**4\/24 - z**3\/6 - z**2. Let a be k(2). Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 7*b - 5. Let i = -7 - -10. Let r(q) = q**2 - 3*q - 2. Let a(t) = i*w(t) - 7*r(t). Calculate a(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1441 times -0.4?\nAnswer: 576.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/5*1*2*(-24)\/48?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 124 and 7005380.\nAnswer: 7005380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 107.61 + -107. Let g = i + -0.60999961. What is g rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - d**2 - 15*d - 11. Is o(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 12) in base 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -106\/9*t + 140 + 2\/9*t**2.\nAnswer: 2*(t - 35)*(t - 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -287*u - 3593*u - 1005*u - 2579*u.\nAnswer: -7464*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44861, -45143, -45915, -47423, -49913, -53631?\nAnswer: -58823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2179, -5\/4, -2\/7, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 156 or 162?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27) + -4 + 0)**2.\nAnswer: -24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 507665709*b**2 - 455193253*b.\nAnswer: 1015331418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 169175101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14600)\/(-11088) + (-8)\/44 and 77\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 10*o - 16*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/11)\/(m*m**(-1\/5))*m**(2\/15)*m**(-1) assuming m is positive.\nAnswer: m**(-61\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 24*k**2 + 13*k - 14. Let n(f) = -11*f**2 - 6*f + 6. Let u(i) = 6*j(i) + 13*n(i). Let v be (0\/(-2))\/(0 - 2). Determine u(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -23*g**2 - g + 1. Let q be i(1). Let c = q - -32. Is (-8)\/12 + 8583\/c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6 + 3. Suppose -g*w - 10 = -w. Let h(b) = b**2 + 8*b + 5. Give h(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4839.0097 rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41562772?\nAnswer: 2, 10390693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - j + 4)*(-5 + 3 + 1) - 148*j - 22*j - 108*j + 2.\nAnswer: -277*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 268 - 4966 = -162*b for b.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 8*q**2 - 6*q - 4. Let k = 0 + 2. Suppose -x = k*x - 27. Calculate the remainder when j(x) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**4\/5 + 4*b**3\/5 + 4*b**2\/5 = 0. Calculate b.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 4. Let x be y(-5). Let p(z) = z**2 - 3*z - 4. Let t be p(4). Calculate the least common multiple of (t + 1 + -2)*x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by (-25821)\/(-285)*(-15)\/(-9).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14518 + 7263 - 4*l**3 + 7255.\nAnswer: -4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -7. Find the common denominator of 83\/10 and ((-82)\/(-16) + c)*-2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14.12 - 16.12. Which is the second smallest value? (a) m (b) 1 (c) 0.1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3639 - -5780. Is 63 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1885 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -1055380\nAnswer: -1055380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxii when four letters picked without replacement from yiyvxyxvxydxxyixxvx?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13814 is divided by 6902?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -6. Suppose -74 - 176 = -5*f. Suppose z + l*z - f = 0. What is the greatest common divisor of z and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 9:28 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-477*o + 259*o + 311*o - 1 + 2*o**2)*(-3*o + o + 0*o).\nAnswer: -4*o**3 - 186*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqcyocjo. What is prob of sequence ob?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236 - 142 = 2*p. Calculate the lowest common multiple of ((p\/(-9))\/7)\/(6\/112) and 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -107691400 rounded to the nearest one hundred thousand?\nAnswer: -107700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -4*b**5\/5 + 26*b**4 - 272*b**3\/3 - 52*b**2 + 276*b + 3911. Suppose i(j) = 0. What is j?\nAnswer: -1, 1, 3, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 397 - 358. What is the remainder when 36 is divided by ((-208)\/h)\/(4\/(-6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5112459 - 143295435\/28. Let g = 5238 + h. What is the common denominator of 29\/4 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*p**3 - 21349*p + 21349*p + 5*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 245467463 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 2*z**2 + 699236*z - 2796976 = 0?\nAnswer: -349622, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (7 + -2 + 5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 650589749.\nAnswer: 167, 3895747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -5*u**2 + 100*u + 480 = 0.\nAnswer: -4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.96606416 rounded to three decimal places?\nAnswer: -18.966","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let x(k) = 5*k + 3. Let r(f) = 5*f + 2. Suppose -2*m + m = 3. Let w(o) = m*r(o) + 2*x(o). Determine w(d(h)).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*h = -63, 8*b + 5*h = 4*b + 79. Suppose -4*w - 55 = -163. What is the remainder when w is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 2*x**5\/5 + 61*x**4 - 184*x**3\/3 + 3055*x. Solve z(v) = 0.\nAnswer: -92, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -67 + 4*q + 8 + 2*q - 19 in the form x*q + z and give z.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 402\/13? (a) -1\/4 (b) 0 (c) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 4717 and 14153\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zte when three letters picked without replacement from {t: 4, z: 2, g: 1, r: 1, e: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 608920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*h + 828*h - 4*l = -4, -5*h + 2*l = 20 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21 greater than or equal to -5\/79464?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -63*m**3 + 1296. Let x(q) = -8*q. What is x(w(f))?\nAnswer: 1512*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 26100\/10875*(-20)\/9\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 3\/2 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 4*u = 37, -7*f = -2*f + 5*u - 10. Let v be 8 - (-2 + f + -1). What is the third derivative of -6*l**2 - l**6 + 4*l**2 + 3*l**v wrt l?\nAnswer: 240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*k - 61. Is 13 a factor of (-3 - (-63 + 4)) + k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1298 + 1365. Let x = 25 + -7. Calculate the remainder when p is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d. Let y be (-6)\/(-8) + 1 + (-12)\/16. Let t(x) = 5*x**3 - x**2 - 2*x + 2. Let s be t(y). Let i(q) = 14*q. Calculate s*i(a) - 11*r(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2. Let l(y) = 368403*y - 80. Give l(i(h)).\nAnswer: -736806*h**2 - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smhmihhhmsimmhmosmh. What is prob of sequence ss?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -217*z**2 + 861*z - 65. Calculate v(4).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:49 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-1 - -2)) + 10 + -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-135)\/(-9)*(1 - 2). Let m(v) = v**3 + 14*v**2 - 18*v - 41. Determine m(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 45\/20 + 4\/(-16). Let j(v) = -24*v - 44 + 110*v**y + 114*v**2 - 225*v**2. Is j(-19) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -105905*f**2*l**3 - 38002*l**3 wrt f.\nAnswer: -211810*f*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -758786 and 137.\nAnswer: -103953682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45956839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 68 - 57. Suppose 0 = -5*l - 5*d + 415, -5*d - 144 = -5*l + 321. Calculate the highest common divisor of l and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 3*n. Let h be u(3). Sort h, 4, 0.2.\nAnswer: h, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12817 - -12838. Calculate the remainder when 4197 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n. Let c(f) be the first derivative of -18*f**2 - 2*f + 97. What is o(c(t))?\nAnswer: -36*t - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/4*(-1 - -5). Let h(k) = -8*k + 7. Let a(w) = -9*w + 7. Let q(u) = 5*a(u) - 6*h(u). Let p(y) = 3*y - 6. Let b(o) = c*p(o) + 4*q(o). Calculate b(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**3\/6 + 20*w**2 + w + 216. Let q = 4 + -4. What are the prime factors of n(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 + 18 + 15 - -30\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -2 + 0)*-3. Suppose 0 = v*y + 3*b - 315, 4*b + 7 + 5 = 0. Find the common denominator of 23\/20 and (8\/y)\/((-4)\/(-435)).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2324.51 and 76.\nAnswer: -176662.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 12 = 2*f, f - 1 = -x. Suppose -2*u = x*z - 56, -2*u - 20 - 8 = -2*z. Calculate the highest common divisor of 16 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/386 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3000)*-6*-6)\/((sqrt(768) + sqrt(48))\/sqrt(8) - (sqrt(54) + sqrt(540)\/sqrt(10))).\nAnswer: 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 441200 rounded to the nearest ten thousand?\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1190?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - 45.2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*q - 18 = 39*q. Suppose v - 5 = b + 10, 30 = 5*v + 4*b. Let y be v\/(-45) + (-2)\/q. Is -1\/118 greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j - 3*h = -12, -725*j + 728*j = 4*h - 38 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156385, 625979, 1408767, 2504743, 3913901?\nAnswer: 5636235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, 357, 1, -2, 2 in descending order.\nAnswer: 357, 2, 1, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a - 15*a + 741 + 795. Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94330662 divided by -1842?\nAnswer: -51211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 132\/13, 4, 72, 2\/19, 2\/21, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -387*b + 474852 = -366*b. What is b rounded to the nearest 1000?\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 1:00 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5.7, -4547, -0.3, 0.2?\nAnswer: 5.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 31024 = -119316. Let l = y + -97685. What is l rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -6*n - 21*n - 57*n + 6. What are the prime factors of y(-1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**10)**(2\/69) assuming n is positive.\nAnswer: n**(20\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 16. Find c, given that 0 - 4\/3*c + 2\/3*c**o = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 - -67. Suppose 2*z - n*u - 41 = -5, 0 = -z - u + 8. Let t(p) = p**2 - 12*p + 14. What is the tens digit of t(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 552491072 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1080? (a) 0.2 (b) -6 (c) -0.3 (d) -3\/4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-3) - 9500\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1010.3 - 1010. What is the closest to 0.2 in 2, -1\/5, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1 + 14*m + 4 - 20*m + 11*m + 7*m**2. Let z(o) = -o**2 - o - 1. Let j(s) = -b(s) - 5*z(s). Let c(l) = 100*l**2. What is c(j(d))?\nAnswer: 400*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) 3 (c) 23 (d) -18\/7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -150? (a) -1\/4 (b) 11 (c) -0.47 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 604267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -817 + 867. Solve -47*c = -37*c - z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -56, 1\/4, 1\/22?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -70.973. Is 1 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -3. Suppose u = -2*r + 3*r. Let o(g) be the third derivative of -g**6\/120 - g**5\/60 + g**4\/24 - 2*g**3\/3 + 14*g**2. Give o(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 320 divided by -22\nAnswer: -160\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l**2 - 15*l - 3*l + 18*l.\nAnswer: 11*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -51)\/(-2) + 0 - -2. Suppose 0 = -2*o + 4*x + t, 0*o + x = -3*o + 4. What is m in -8*m**o + 14*m**4 - 506*m**2 - 10*m**3 + 510*m**2 = 0?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10221 + 10221. Which is bigger: p or -0.559?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65204354228648135459\/4570 + -14267909968941682. Let y = 1240828157 - n. Let b = -2\/457 - y. Calculate the common denominator of b and 41\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 1 u when three letters picked without replacement from {j: 1, z: 3, u: 1, g: 1, a: 1}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -690 and -692 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -55 - (2 + (-2 - -2)). What is the common denominator of 4 - 2 - 30\/8 and (0 - j\/(-21))\/(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 139 - 139 - 3*p + 10*p to x + n*p and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10160 divided by 10160\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*d + 4. Suppose 3 = d*m - 3. Find the third derivative of l**5 - 3*l**2 + l**5 + m*l**5 wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-1)\/a*a*a\/((a\/((a**(1\/2)\/a)\/a))\/a) assuming a is positive.\nAnswer: a**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 100*s**3 - 130*s**2 + 129*s\/4 - 9\/4.\nAnswer: (s - 1)*(20*s - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -94 - -162. Let x(j) = -61*j + 14. Let p be x(-6). Let t = p - 356. What is the remainder when m is divided by t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -4*f + 14. Let h be 963\/f - (-1)\/2. What is h rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26 and 30134.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -645*c**3*n**2 - c**3*n*u + 467*c**3*u**2 - 3*c**2*n**2*u**2 - 23*c*n*u**2 + 3*n**2*u**2 + 6135*n**2 wrt c?\nAnswer: -3870*n**2 - 6*n*u + 2802*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/((-24)\/30 - (-38)\/60).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(-23))*b*b)\/b**(-1\/27) assuming b is positive.\nAnswer: b**(676\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/163 + -11621\/1304. Calculate the common denominator of l and ((-551)\/66 - -6) + 2\/11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-96)\/63 - 0)*(833\/(-34) + 23)\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102420 rounded to the nearest 1000?\nAnswer: 102000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 6. Let o(u) = -u**3 + 2*u**2 - u. Let r be o(d). Suppose -l + 4*l - 96 = r. Calculate the greatest common factor of 4 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 5, 3 in descending order.\nAnswer: 5, 3, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of c**6\/2 - 9*c**5\/5 - 3*c**4\/4 + 7*c**3 - 12*c + 9. Determine o so that l(o) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122.0448 + -122. What is x rounded to 3 decimal places?\nAnswer: 0.045","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69828.69 millilitres in litres?\nAnswer: 69.82869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/3880 and 1\/3880?\nAnswer: 3880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3 = 5. Suppose -3*m = -15, -x*d + d + m + 13 = 0. Let b(g) = -16*g + 610. What is the least common multiple of b(37) and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, z: 2, b: 7, e: 1}. Give prob of picking 3 v and 1 e.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 29*p - 3. Let s be c(1). Suppose s*a + 330 = 11*a. Let n = 56 - a. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 - 52*g - 1 - 11*g)*(-66 - 2 + 2) as c + y*g and give c.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sff when three letters picked without replacement from fsfssssssssf?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (5 + -8 - (0 - 3)). Let r(d) be the first derivative of -d**2 - 4*d + 1. What is r(s)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4919575307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 248 = 4*l + 240. What is the tens digit of 89*((-2)\/l - 8\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -53*z**2 - 18*z - 54. Let w be k(-4). Let r = -393 - w. Is 24 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/2 - (-5 + 7 + 1). Solve -4*j + w*j = 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1290 and 8.82.\nAnswer: 1298.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 divided by -567?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 4*v - 8, 2*v - 4*m + 1 = 23. Let c(y) = 25*y**2 + 9*y + 3. Is c(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -4, 48 in increasing order.\nAnswer: -4, -3, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3*t - 2. Suppose -3*x - 27 = -5*q, 0 = 4*q - 4*x + 6 - 26. Let f(s) = -s - 1. Calculate q*f(b) - 3*k(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*j**3*p**3 - 4*j**3*p**2 + 3*j**2*p**3 - 2*j*p**2 wrt p.\nAnswer: -264*j**3 + 18*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.2 - -2.4. Which is the second smallest value? (a) -8 (b) w (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-65)\/(-7) - 4\/14. Find the common denominator of (-370)\/(-168) + (m\/4)\/9 and -55\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546058 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 7, 308, -1\/5, 1\/6, -38?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/11 - 907498*t.\nAnswer: 2*t*(t - 4991239)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 8*z**2 - 6*z - 14. Let p be m(-2). What is the greatest common divisor of 48 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 + (-1404)\/(-104))\/((-135)\/68 + 2)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0008500338 rounded to five decimal places?\nAnswer: 0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/3)*v)**(-21)*(v**(-1)\/v*v)**13 assuming v is positive.\nAnswer: v**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 63 - 16*f + 24 + 22. Let z be b(17). Suppose g + 5 = z, -5*y + 2*g + 20 = -10. What is the remainder when 27 is divided by y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472923 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - 9 - -12 - (5 - (-5 + 3 - -5)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 239870933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -3a00c?\nAnswer: -3a01d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 796 = 5*p + 763, -2*u = 2*p - 14 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**4\/12 + a**3\/2 + a**2\/2 - 59*a + 1. Calculate z(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + 84*u + 518. Calculate v(-20).\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -38*j + 38. Let y be k(7). Let x = 214 + y. Let c(g) = 2*g - 1. Let n(z) = -2 - z + 4*z + 2*z. What is x*c(i) + 6*n(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3*j)*(-342*j + 333*j - 361*j) in the form i*j**2 + f*j + o and give i.\nAnswer: -1110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 8. What are the prime factors of -3 + (o - -33)*1?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5 - -33) + -1 + 0. Suppose -5*p = -4*d - u, -3*p - d = -0*d - 6. Suppose -4 = -a + p. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11354511 (base 7) to base 4.\nAnswer: -3311122323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -4*b**2. Let k(f) = -10*f + f - 15*f - 5*f. Calculate p(k(a)).\nAnswer: -3364*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Suppose 4*n = -0*q + 3*q - 1, 2*n = -4*q - 6. Let p = a + q. Sort p, -5, 0 in descending order.\nAnswer: 0, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1a195 + -5?\nAnswer: -1a19a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22001011222 + -110022?\nAnswer: -22001122021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((((g*g**(5\/4))\/g)\/g)\/g))\/(g**(-4)\/g))\/(g*g\/g**2)**(-1\/2) assuming g is positive.\nAnswer: g**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-2)*85\/102\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 119531 and 25985?\nAnswer: 597655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 466*g - 284*g - 11 + 2.\nAnswer: 182*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j - 0*j + 128. Let c = -94\/3 - j. Let k = -4 - -2. Sort k, -7, c.\nAnswer: -7, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 824*o. Let k(f) = 8*f**2. Determine k(j(n)).\nAnswer: 5431808*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -933 - -2980. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 - 1419*q. Let w(p) = -13*p**2 + 2840*p. What is 9*m(b) + 5*w(b)?\nAnswer: -2*b**2 + 1429*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 52 + (1 - 22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16 - 15)\/(2\/96). Find the common denominator of -56\/33 and (132\/9 + -2)\/(t\/30).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 3*i + 3. Let a be 266\/(-57)*12\/(-14). Determine g(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4196, 5, 0.973 in increasing order.\nAnswer: 0.973, 2, 5, 4196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 224\/1755 - -2\/351. Let w be (-57)\/(-6) + 1\/(-2). Let s be (-3)\/w + 16\/21. Which is the biggest value? (a) y (b) -1\/5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(2\/13)\/m*m)\/m**(-1\/2) assuming m is positive.\nAnswer: m**(43\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31 + 30220?\nAnswer: 30311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1099752 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 5 = 34*o - 1. Let j(l) be the second derivative of -10*l - 2*l**2 + o + 7\/3*l**3. Differentiate j(y) with respect to y.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 543 a factor of 34662716?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-1)*((-819)\/(-35))\/(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 12:03 PM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x - 1. Let y be l(6). Suppose -80*m + 259 = -141. Solve j + 8 = -4*n, 2*j - y = m*j - n for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 324 = g - 4*g, g = -4*n - 120. Let j = -80 - g. Calculate the remainder when 44 is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -87 at least -87?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 566279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 13\/16 (c) -6\/11 (d) 1 (e) 0.4 (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 900 and 396?\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -683, -1452, -2259, -3110, -4011?\nAnswer: -4968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1189, 3991, 6793, 9595?\n\"Answer: 2802*j - 1613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pvp when three letters picked without replacement from pppppppvppv.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(sqrt(3)*-2))\/(4*sqrt(96)).\nAnswer: -sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 671*u**6 - 16*u**4 + 35*u**3 - 10*u**2 - 1822*u + 16 wrt u.\nAnswer: 80520*u**3 - 384*u + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*-7*(-7 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(5) - sqrt(20)\/sqrt(4))*-3 + (5*sqrt(5)*1 - sqrt(5))).\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, -5, 0.1, 9\/8 in decreasing order.\nAnswer: 6, 9\/8, 1, 0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 5) + 7*2. Let w be (22\/33)\/(z\/(-3)). Which is the closest to 1? (a) -2 (b) w (c) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 19 - 8)*(2*c + 4*c - 5*c) - 3*c + 2*c + 2*c to j + k*c and give k.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 10 = -5. Suppose 2*k = 4*o - 2, 2*o = -2*o - 4*k - 28. Let l = -1060 + 1063. Sort o, l, w in ascending order.\nAnswer: w, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + 0. Let b = -24 - n. What is the remainder when 6 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-2)*(-2 - (15 + -15)). Solve -4*x = 3*a - 24, 16*x - 20*x = h*a - 24 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 34415*k**2 + 8025*k**2 + 44 - 22.\nAnswer: -26390*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -80459*j - 643654. Determine k(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -7*i + 2, 5*m - 8416 = -i. Is m a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 20940567461 and -0.287?\nAnswer: 20940567461.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4627 - -38839. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 11*g + 216. Let t be h(-21). Sort t, 9, 3.\nAnswer: t, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 6*p + 2. Let b be s(-5). Suppose -5*h + 2*a + 17 = 23, 5*h - 3*a + 9 = 0. Solve b*j - 2*j - 25 = h for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*k + 18, -z = 2*k - k + 3 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12493 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: Calculate (2*-2)\/(109\/218).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 take away 1371196445.709?\nAnswer: -1371196445.629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145 + -1461\/10. Calculate the common denominator of -43\/50 and y.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = w - 24. Let a be (2\/4)\/(3\/w). Suppose a*j + 1 = 37. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -300615462, -601230922, -901846382?\nAnswer: -1202461842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -11*w**2 + 113*w - 84. Give a(11).\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 + 3*i. Give x(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/(-10) + -2 + (-40 - -44).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 46 - 26 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*i - 4*i - 7 - 2*i + 15 + i - 83.\nAnswer: -17*i - 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79414241, 158828474, 238242707, 317656940, 397071173?\nAnswer: 476485406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -i + 3*l, -4*i + 201 = -3*l - 170. Suppose 3*g - i = -2*k, 9 = -k - 4*g + 66. Suppose -19 = -4*t + k. Is 14 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*x**4 - 38*x**4 - 23*x**4 + (-x + x + x)*(0*x + x + 0*x)*(-21 - 20 + 51 - 2*x**2) to u*x + h*x**3 + s + q*x**2 + p*x**4 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -404 - -404. Let p = -18 + 17.9. What is the closest to b in 0, p, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)\/(((c\/(c*c*((c**(-2\/29)\/c)\/c)\/c))\/c)\/c)*(c\/(c*c**(2\/5)))**(2\/79))**(5\/6))**25 assuming c is positive.\nAnswer: c**(-290150\/2291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11001110101111111101 (base 2) to base 9\nAnswer: -1530578","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 156216 a multiple of 552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 520373369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2591\/294 - -43\/294. Which is the fourth biggest value? (a) -1 (b) y (c) 7 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - 5024\/30)\/((-2)\/(-6)). Let p = z - -499. What is the biggest value in -0.3, -0.5, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d - 7. Let l be 0*2*1\/(-4). Let j be l - (2 + -11 + 1). What is the units digit of s(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**2 - 4*h**2 + 9*h - h**2 + h**2 in the form f + g*h**2 + p*h and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**2 - 10*i + 10. Suppose 0 = 5*b + y - 26, 3*y - 6 = 2*b - 13. Suppose h + 2*r = 0, h - 3*r + 20 = b*h. Give z(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + s - 7 = 0, -s + 11 = -4*q + q. Let k(p) = p**2 + 2*p. What is k(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a + 94 + 14. Let f(b) = -5*b + 7. Let u(v) = -2*v + 3. Calculate a*u(o) + 4*f(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 3) to base 8\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1002*n - 990*n + 2004*n)*(-3 - 3 + 5) - n + 4*n - 4*n + (0 + 0 + 1)*(6*n - 4*n + 0*n).\nAnswer: -11*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -5\/4 (b) -2 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 21\/5 of a milligram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*q - 6*q = 30, 5*g = -2*q + 26. What is the greatest common divisor of 978 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-1 + 0)\/((-6)\/(-14))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -3, 11, 45, 105?\nAnswer: 197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9) - -2158*8\/12. Suppose 90 = -o + n. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -871282, -871289, -871310, -871351, -871418?\nAnswer: -871517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4819*z - 1606*z - 1608*z + 188*z**2 - 1605*z.\nAnswer: 188*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21316*q**3\/3 + 540492*q**2 + 13393440*q + 108732096 = 0. Calculate q.\nAnswer: -33, -1572\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*a - 87. Let b be -1*(4 - (-2 - 9)). Let x = b - -25. What is the smallest common multiple of a and x?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 97 (c) 2\/15 (d) -0.1 (e) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/2 (b) -5 (c) 1\/4 (d) 6 (e) -1183 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d**3 - 2*d**2 + 6*d + 6. Let s(c) = -10*c**3 - 2*c**2 + 5*c + 5. Give 5*o(m) - 6*s(m).\nAnswer: 5*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1642, -1639, -1610, -1543, -1426, -1247, -994?\n\"Answer: 2*d**3 + d**2 - 14*d - 1631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 14?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 34235?\nAnswer: -34241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from qoqbtbqbbooboqq?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**5\/9 + 38*y**4\/9 = 0.\nAnswer: 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-9)*((-160)\/(-30) - (-15)\/(-18)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 2872.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96 - -110. Suppose -w*c + 26*c - 2688 = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 366*r. Let z(n) = 2*n. Give k(z(b)).\nAnswer: 732*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g + 0*g**2 + 3*g + g**2. Suppose 5*o = -5*f - 15, 2*f = 3*f - o + 11. What is the units digit of b(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 68932 and 0.032?\nAnswer: 2205.824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1080995 (base 14) to base 13\nAnswer: -1815c26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3154430, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2499, -1, -4, 1.\nAnswer: -2499, -4, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/(-8))\/(2\/4). Solve -3*h - 5*c - 25 = 0, 0*c + 2*c + 24 = -s*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Suppose 0*x + 9 = -k*x. What is the smallest value in x, 3, -0.1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52101871469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.2 - -1.2. Let m = r - -7. Let f = 2\/49 - -5\/49. Which is the nearest to -0.2? (a) f (b) -0.4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9287 = -31*g - 7825. Let t = 544 + g. Let r(v) = v**2 + 10*v - 4. Give r(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 672919 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 13*l**2 - 11*l - 9. Determine y(13).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 774, 752, 670, 492, 182, -296, -978?\n\"Answer: -6*s**3 + 6*s**2 + 2*s + 772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76866245 - 30966245. Round a to the nearest 1000000.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g\/(g*g**1)))**(-13))**(31\/5) assuming g is positive.\nAnswer: g**(-403\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -1321\/1924 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 0 - t + 0. Let j be z(-3). Suppose -j + 1 = -2*h. Solve -h = -2*m + m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 1 = 3. Is 10 a factor of s + (13 - 1) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4.13 (b) -4 (c) -13 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 314 divide 47728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 69, 76, 83, 90?\n\"Answer: 7*f + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -35650\/7, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + m**3 - 3*m**2 - 5*m**4 + 4*m**4 + 2*m**4 as y + j*m**3 + b*m + w*m**4 + o*m**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 = -9. Solve -n + 4*n = c for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (-15 + 6 + 12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.908 + -0.192. Let f = -9 - z. What is the nearest to f in 4, -2\/11, 4\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the third derivative of -l**6\/480 + l**4\/8 - 2*l**3\/3 - 10*l**2. Find n such that i(n) = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.4 + 0.2. Let f = -2.3 - -1.8. What is the second smallest value in f, 3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*m + 172. Calculate the smallest common multiple of 80 and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*15\/(-2) + -2. Let r = 17 + f. Suppose r = -g + 4*n + 22, -7*g + 3*g = -4*n - 28. Solve -25 = g*w - 7*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 413 and -0.35.\nAnswer: -144.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000178275433 to 7 dps.\nAnswer: -0.0000178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/40)\/((-27)\/108)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v - 42. Let q = v - -238. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -51*h - 26. Let y(b) = -20*b - 10. Let k(d) = -5*r(d) + 13*y(d). Let f(g) = -295*g**2 + 2*g. Determine k(f(n)).\nAnswer: 1475*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3363485, 6726985, 10090483, 13453979, 16817473, 20180965, 23544455?\nAnswer: 26907943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x - 3*x + 5*x**2 - 2*x**2 + 2*x**2 - x**2 + (-4*x + 4*x + x)*(2*x - x + x) to the form t + b*x**2 + d*x and give b.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (35 + 3 + -31 - (0 - -9) - 37)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/2))**(-37)\/(u*u**(-4\/7)*u)**(-7) assuming u is positive.\nAnswer: u**(279\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.407 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*d - 2 = 0, -2*d = 5*q - 10*q + 16. Solve x + 3*x = q*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-92)\/((-2 + 149\/74)*1). Let q be h\/690 - (-1 - 34\/(-30)). Let y be ((-8)\/(-6))\/(0 - q). What is the nearest to 2\/3 in -4, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20072?\nAnswer: 2, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 0.2. Let w = x - -0.6. Let q = 0.4 - w. What is the third biggest value in q, 4\/3, 5\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20586808?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.9 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2 = -0*l. Suppose g + 4 = 0, 4*n + 3*g = -g - 16. Suppose 0 = -k - 3*s + 1 + 2, n = 2*k + 4*s - 8. Solve -k*r = -l*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82709 and 2433684.\nAnswer: 1133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 631041.5 centuries?\nAnswer: 6310415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/5 + 1337*k**2 - 6688*k\/5 - 13372\/5.\nAnswer: (k - 2)*(k + 1)*(k + 6686)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -11*y**2 + 467*y + 744. Give o(44).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 16*w**3 + 5158759*w - 211732919 wrt w?\nAnswer: 48*w**2 + 5158759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -1083*c**3 - 242820*c**2 - 51084*c - 2688 = 0. Calculate c.\nAnswer: -224, -2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -532*m**5 - 117752*m**4 + 78288*m**3 + 31968*m**2 = 0?\nAnswer: -222, -2\/7, 0, 18\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjvv when four letters picked without replacement from {v: 4, j: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 6*z + 44. Let v be h(9). Factor -2*i**2 + 47 + 49 - v - 4*i.\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -712 - -722. Let h = 2061311 + -2061320.999912. Let x = h + z. Round x to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 1. Suppose -3*z - 3*j + 9 = 0, -2*z = -0*z + 5*j - 6. Let l be z*((-10)\/f + -3). Solve 6 - l = g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 8*d - 6. Let y be l(-7). Let z(t) = 7*t**3 - t + 3*t**2 - 4*t**3 - t**2. Let i be z(y). Solve -2*s = -4*s - i for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 73556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1812, 6448, 14168, 24966, 38836, 55772, 75768?\n\"Answer: -r**3 + 1548*r**2 - r + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 154 - 299 = -157, -101 = -5*j - 29*u for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -302, -439, -578, -725?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(500) + 1*sqrt(500))*-1 + 0)**2.\nAnswer: 2205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2692 is divided by 30?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.48 and 64653.\nAnswer: -31033.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 918.782 centuries?\nAnswer: 9187.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10053116*b - 3296362 wrt b?\nAnswer: 10053116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15889*i**3 + 64*i**2 - 13796582.\nAnswer: -47667*i**2 + 128*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhr when three letters picked without replacement from hhhrhrrrhrrrr.\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(2\/3)\/(q**(1\/4)\/(q*q*q**(-3\/7))) assuming q is positive.\nAnswer: q**(167\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -v**2\/9 - 827*v\/9 - 550\/3 = 0.\nAnswer: -825, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 - 2 = d, d + 4 = -4*l. Let x be (9\/(-6))\/((-6)\/8). Suppose 5*k = 0, k + x = -w + 6*k. Is w less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 69 - 7 = 0. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**(2\/3)*c)\/c)\/c)**(-1\/16) assuming c is positive.\nAnswer: c**(1\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -m - 0*z - 5*z, 4*z = 2*m - 30. Let a(u) = 4*u + 23. Let d be a(-4). Let j = d - 4. Solve 3*x + x = -m*n + 2, 0 = 3*n + j*x for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z - 4. Let k be g(-4). What is the third biggest value in 1\/3, 0.4, -1\/6, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5590*c + 4758*c - 51584 for c.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.97 + 0.07. Let w = 7.9 + v. Let y = w - 5. What is the closest to y in -2, -3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose 34 = 3*k - 2*x, -k + 4*x + 10 = -8. Calculate the remainder when k is divided by p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/3 of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.9922 and -17140030784.\nAnswer: -17140030783.0078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 390 + -390. Suppose m = -49*j + 35*j + 42. Find p such that 3\/4*p - 3\/4*p**j + 0 + 0*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 16238?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 214*y = 107*y - 246*y - 4589 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2915436 + 7020488. Let p = 3216029 + n. Let q be 2\/(-3) + p\/15. What is q rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (28\/(-112))\/(4\/(-160)). Suppose 2*i + 5*u = u - 18, 3*i - u = 8. Suppose -5*k + 19 = -i. Solve -5*d - a = -10, -d - k*d = -2*a - v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/9*-6*(-51)\/374.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(6\/5)*y*(y**(-2\/61)*y)\/y)\/(y*y**(-6\/23)\/y*y\/y**26) assuming y is positive.\nAnswer: y**(199423\/7015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 + -17 + (-6 + 16 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 1:34 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9803771?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/459 and 53\/68.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 7640886?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-8))\/(15\/4)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**(-1\/19)\/m)\/m)\/(m*m\/(m**(4\/5)*m)*m))\/(m\/m**(6\/13))**(-5\/6))**(3\/34) assuming m is positive.\nAnswer: m**(-20777\/83980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17237 and -3.8.\nAnswer: 65500.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18937155?\nAnswer: 3, 5, 37, 149, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -454*c + 434 + 1123 = -713. Find b, given that 0*b - 1\/7*b**3 + 1\/7*b**c - 1\/7*b**4 + 1\/7*b**2 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*p = 98*p - 184. Let u be p\/2 - (-17)\/((-68)\/922416). Round u to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*m + 7*m. Suppose -4*z + 8*z + m = 0. Let s(x) = x**2. Let u(q) = -2*q**3 + 3*q**2 - 2. Give z*u(r) + 4*s(r).\nAnswer: 2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 = 7*o - 86 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 261 - 251. Let r be (-1 + -2)*(-4)\/6. What is the greatest common divisor of r and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 66.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 429?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -13*w**4 + 4*w**3 + 13. Suppose -f + 120 = 7*f. Let a(k) = -51*k**4 + 15*k**3 + 51. Let u(q) = f*r(q) - 4*a(q). Differentiate u(g) wrt g.\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.18 + 8.18. Let y = 7.97 - q. Let m = 0.23 + y. Which is the second smallest value? (a) -2 (b) 2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-2) + (-14 - -46). Let c = 94 - b. Calculate the greatest common factor of c and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + i - 1. Let h(m) = m**3 - 3*m**2 + 2*m - 3. What is -h(b) + 3*y(b)?\nAnswer: -b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-238))\/((-272)\/(-808)). Let l be (-2)\/(-6) + (-590)\/1734. Let g = l + m. What is the biggest value in g, -0.4, -3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.2 (b) -0.094 (c) -4\/9 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 equal to 820?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 418\/387 or 0?\nAnswer: 418\/387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*f - 4*b, -16 = -2*f - 6*b + 4*b. Suppose -62*i + f*i = -10494. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p + 2 - 54*p**2 + 57*p**2 + 3*p - 2*p. Let s(i) = -10*i**2 + 3*i - 7. What is 7*o(v) + 2*s(v)?\nAnswer: v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 22 - 2 = 5*v, 3*v - c - 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let k(h) = -63*h + 94. Let t(d) = 32*d - 53. Let v(q) = 4*k(q) + 7*t(q). Give v(u(m)).\nAnswer: 28*m + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.2, 1, -3.7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 47.9458. Round h to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 69926.9ml?\nAnswer: 69.9269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 50630519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 + 46*o + 89. Does 25 divide s(-37)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(48)\/sqrt(4) - sqrt(21)\/sqrt(63) - (sqrt(21) - (sqrt(84)*-1 - sqrt(84)))\/sqrt(7))*5 + -2)**2.\nAnswer: -200*sqrt(3) + 7504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7063 + 1.519. What is v rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**10*w)**40*w**(-1\/25)\/((((w*w**(-8))\/w)\/w)\/w) assuming w is positive.\nAnswer: w**(11249\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 5) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 35*d = 28*d - 40, 2 = q - 3*d - 12 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a day in minutes?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 4. Let u(l) = -5. Let n(k) = -7*j(k) - 6*u(k). Let m = -4 - -13. Let d(o) = -o - 9. What is m*n(i) + 2*d(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0*p + 152. Suppose -3*g + 79 = 2*w - 43, -155 = -4*g + 5*w. Calculate the remainder when p is divided by g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 14*m - 153. Give k(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6*x - 5 = x, 3*l + 6 = 3*x. Let g be (l - -2)\/(0 - 1). Suppose -g*s - 3*o = 6, s + 7 = o - 3. Is -4 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5120 divided by -512?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 30 = -5*n, 2*n + 4*d + 7 + 5 = 0. Factor 6*b**2 - 2*b**2 - 4*b**3 + n*b**4 - 2*b**2 + 0*b**2.\nAnswer: 2*b**2*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 1*(sqrt(567) - (sqrt(567) + 1*sqrt(567))))\/(-2*(sqrt(324)*2 + sqrt(324)))*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 277 + 286 - 1134 - 62*k + 277 + 278 as a*k + s and give a.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50302 divided by 258?\nAnswer: 25151\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.516ml to litres.\nAnswer: 0.045516","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:07 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -178.98 + 184. Let o = u + -5. Let v = o + -0.32. Put 4, -5, v in descending order.\nAnswer: 4, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*p + 10 - 10.\nAnswer: -15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 46 = 2*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64\/6 - ((-374)\/33 + 11).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*z = -29 + 101. Let c = z + 2. Suppose 0 = -c*h + 21 - 21. Solve -3*r = -h - 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/3 - 32*t\/3 - 128 = 0. What is t?\nAnswer: -8, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -3, 0.6, 2\/9, 187, 21, -1 in increasing order.\nAnswer: -3, -1, 0.1, 2\/9, 0.6, 21, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-5)\/2*22)\/((-260)\/((-99840)\/(-384)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 78972, 157705, 236456, 315231, 394036, 472877?\n\"Answer: v**3 + 3*v**2 + 78717*v + 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) 4 (c) 0.272 (d) 0.2 (e) -0.16 (f) -6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**5 + 0*w**5 + 3*w**5 + (-2*w + 0*w + 25*w**3 - w**2 - 22*w**3)*(-18*w**2 - 173*w + 173*w).\nAnswer: -52*w**5 + 18*w**4 + 36*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2529695373 + 1264847689 - 7*d + 3*d - d + 1264847684.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 6, 0, -1, 2, -1729, 4.\nAnswer: -1729, -9, -1, 0, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 22 + 40 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13534, 13524, 13506, 13480, 13446, 13404?\nAnswer: 13354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + 261*t + 6710. What is y(-39)?\nAnswer: -427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 6*z**2 - 7*z - 6. What is the tens digit of h(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1869372319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*m + 11*m + 39*m)*(18*m**4 - 30*m**4 - 25*m**4).\nAnswer: 1887*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854895 divided by 3955?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 403 in 2\/11, -1, 5, -2\/5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40*a**6 + a**4 + 20*a**2?\nAnswer: -4800*a**3 + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 33260040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(80) + 1 + sqrt(80) + 4 - -5*(sqrt(80) + (sqrt(80) - (1 + sqrt(80))) + sqrt(80))) + -5*sqrt(80)*2*-4 + -5))**2.\nAnswer: -8320*sqrt(5) + 865380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -8723 > -8723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -711*n = -584*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*d + 0 - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.704 - -1.697455. What is r rounded to four dps?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 38 = 2*r, -a - 5*r + 31 + 1 = 0. What is the greatest common factor of 63 and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160855 and 2428?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 - 34*l**2 + 185*l + 22. Let w be y(7). Which is the closest to w? (a) -2 (b) 4 (c) 18 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 + -526499507.\nAnswer: -526499511.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y - 213. Let o(l) = -3*l. What is d(o(c))?\nAnswer: -6*c - 213","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*r + 36*r**2 - 38*r**2 - 64*r**2 - 77*r**2 - 27*r**2.\nAnswer: -170*r**2 + 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 37. Let u = y + -16. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288518 is divided by 1560.\nAnswer: 1478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-4 - 12) - 38) + 11\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 10:22 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19576 = -17*f - 19355 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 24 = -5*g, -1351*u = -1350*u + 15*g + 87 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 265 by 6810.\nAnswer: 53\/1362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -205 - -114?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7660 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 612 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 15. Suppose v - z*v + 38 = 0. What is the remainder when v is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 90354 and 396144792?\nAnswer: 8214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1606 divided by -73\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/2))**(-1\/4)*p\/(p\/(p**(2\/23)*p)*p)*p**5*p assuming p is positive.\nAnswer: p**(1097\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 9 = -4*n. Suppose 4*o - 19 = -n. Solve 0 = 4*z + g + 9, -2*g + 11 = -z - o*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2762934*f**5 - 23*f**3 - 381746411*f**2?\nAnswer: 165776040*f**2 - 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-5)\/2)\/(20*(-4)\/61888)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -94 + -6?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3.288 times 0.2\nAnswer: -0.6576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7007 smaller than 35038\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 - 0. Let f = 0.4 + g. Let y = 65 - 459\/7. Which is the closest to f? (a) y (b) 0.1 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -46*p**2 - 20*p - 10. Let y(h) = -23*h**2 - 8*h - 4. Let n(l) = 2*b(l) - 5*y(l). Let z(v) = -8*v. What is z(n(m))?\nAnswer: -184*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29389.47 + -29259. Let t = -131 + m. What is t rounded to 1 decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16.2 + 16.20292. Round i to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 - 8*n**2 + n + 8. Let j(v) = -v**2 - v - 2. Let u be j(2). Let i be h(u). Suppose i = 3*a + 2*a + 10. Which is bigger: a or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.15 + -0.05. What is the nearest to 2 in y, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -564217*p**3 + p - 2909074?\nAnswer: -3385302*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 86, 109, 142, 185?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/5 - 12224576*t + 93400161487360.\nAnswer: 2*(t - 15280720)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 761 + 271 = 0. What are the prime factors of s?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 25 = -4*a, 0 = 2*u - a + 2*a - 5. What is the common denominator of 73\/60 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/14)\/(30\/(-210))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r + 2. Let k(s) = -11*s - 3. Determine 5*j(l) + 2*k(l).\nAnswer: 3*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 + -1. Let g = -19519\/37290 + -21\/565. Let d = 2\/33 + g. Put p, -2, d in descending order.\nAnswer: p, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/665 and 100\/1086267.\nAnswer: 103195365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(37\/(-105) + 20\/70). Let p = 51 - g. Let t(d) = 3*d - 13. Let v be t(p). Solve -2*b + v*q = 35, 0 = 3*b + 6*q - 4*q + 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (2 - (9 - 6)) + 6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -12*((-15)\/(-9) - 2). Suppose y**2 + 0 + 5*y**5 + 0 - y**3 - y**4 - b*y**5 = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5000, -5002, -5004, -5006?\nAnswer: -5008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (2 + 4 - -19).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 15*y - 10. Let v be l(14). Solve f + 1 = -v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3632171 times 29?\nAnswer: 105332959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 129012 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 17*c - 37. What is w(-15)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 75, -4, 1 in descending order.\nAnswer: 75, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/91 + (-5032)\/(-476)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10951861.\nAnswer: 10951861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 - 12*j**2 - 24*j + 4. What is d(-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 573*a - 116 = -577*a, -13*j = 2*a - 58 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/881784 and 113\/10801854?\nAnswer: 43207416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -17. Let a = o - 52. Let l = a + -42. Sort l, -2, -4.\nAnswer: -4, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 2*x**3\/3 - 3*x**2 - 4*x + 30. Calculate the least common multiple of 16 and p(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from tbtt.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 5*o)*(4*o - o - 2*o)*(-24*o + 5*o - 1 + 5*o).\nAnswer: -28*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s + 0*s**3 + 4 + 0*s**2 - 5\/4*s**4. Differentiate r(z) wrt z.\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b + 3*b - 4*b + 5*b - 3*b + 0*b + (3 - 2 + 2)*(-3*b - 2*b + 3*b) + 7*b + 10*b + 2*b in the form q + f*b and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4 - (-3 - -5))*1. Let o be 1 + 15\/9 - a. Is o bigger than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h. Let l(f) = f**3 - 13*f**2 - 14*f. Let r be l(14). Let n(p) be the first derivative of -1\/3*p**3 + 2 + r*p**2 + 0*p. Calculate z(n(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/1784 and -11\/362696120?\nAnswer: 362696120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 + 305*j\/2 - 4319\/4.\nAnswer: (j - 7)*(j + 617)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**1)**(-2\/17)\/(((p\/(p\/(p\/((p*p**(4\/3))\/p)))*p)\/p)\/p*p\/(p**(-5)*p)) assuming p is positive.\nAnswer: p**(-199\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 = 4, -2*a + 27 = 3*v. Let x(m) = -4*m + 2*m + 7*m**2 - m**3 + 4 - 4*m. Determine x(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 - 0.7. What is the third smallest value in 0.4, -3\/7, -3, n?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -14) + (4 + -11 - -9)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2161.7751 months?\nAnswer: 1.80147925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*2)\/sqrt(2))\/sqrt(4).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3957065015 to the power of 1\/2, to the nearest integer?\nAnswer: 62905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -580 divided by 2.\nAnswer: -290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -3*o**2\/5 + 1729692*o + 77836383\/5 = 0.\nAnswer: -9, 2882829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111110011 (base 2) to base 13.\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16948 = 84744\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z**2 - 10*z - 1. Let m be o(-4). Let j = m + -4. Differentiate -6 + 7*x**3 + 5*x**j - 7*x**3 with respect to x.\nAnswer: 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10905.7705 rounded to zero dps?\nAnswer: -10906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 - 36. Suppose 2*m + 5*m - 175 = i. Is m bigger than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/555 and 23\/42420?\nAnswer: 1569540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 3 = -11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -42*q + 680. What is the remainder when 323 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1. Let f(o) = -o + 1. Suppose 0 = -6*n + 9*n - 5*l - 38, -5*n + 34 = -l. Let w be -1*2\/(-4)*-14. Let y(b) = n*a(b) + w*f(b). What is y(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 3) in base 7?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4158, 4112, 4066?\nAnswer: 4020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 4)*(1 - 1 - 1)*(-7494*b - 2345840 + 2345840) as a + v*b and give v.\nAnswer: -37470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -74 + 125. Suppose 3*t = -4*p + 77, 6*p - p = 4*t - i. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 take away -133402.90752?\nAnswer: 133391.90752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 567 - 4?\nAnswer: 563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-228)\/399 + (-52)\/7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/((-3)\/705*1). Let p = 1668 + d. Let v = p + 989. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.730554239 rounded to three decimal places?\nAnswer: 2.731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 7. Suppose 0*v = c*v + 18. What is the least common multiple of 9 and (v\/(-6))\/(6\/16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285485.401 rounded to the nearest 10?\nAnswer: 285490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*o + 22 = 0, 4*n - 2*n = -3*o + 35. Let i = 0 - n. Let g = -7 - i. Solve -p = -g*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 + 4*j**3 - 3*j**3)*(-7*j**2 + 10*j - 10*j).\nAnswer: -7*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 23*i**2 + 18*i**2 - 9179 + 9179 + 20*i in the form q + a*i**2 + d*i + j*i**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -1. Let t be (-2)\/8 + v\/(-8). Suppose 7*s - 3*s - 16 = t. Solve -3*w = i - 2, w + 0*i + 8 = s*i for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1503*b + 1412 - 948 - 464 to d + p*b and give p.\nAnswer: 1503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -6) + -1 + 0 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/132*15*2805\/(-204)?\nAnswer: -25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13789719)\/(-138) - (-1)\/2. Suppose -84*v = -50*v - l. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4. Let y(d) = 1. Let a(l) = g(l) - 2*y(l). Let h(n) = n + 10. What is 9*a(m) - 2*h(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 0 + 1\/4*v**5 - v - 1\/6*v**3 + 0*v**2 - 1\/12*v**4. List the prime factors of k(2).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 12*o - 30 = -4*p, 28 = o + 3*p. Solve 2*x - o = -24 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*n + 15*n = 612. Suppose 0*a - 3*a - 96 = 0. Does n = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.2 - -15.2. Let a be (34\/(-612))\/(1\/4). What is the second biggest value in 1\/4, a, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2232\/(-126) - 2\/7. Are -17 and r nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 12*v - 11. Let q be x(-11). Suppose q = -7*a + 2*a. Let c(l) = -l**2 + 6*l + 1. Let k be c(6). Which is greater: a or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124499 divided by 5?\nAnswer: -124499\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 32 - (3 + (4 - 3)). Let k = 31 - r. Suppose 4*u + 4*j = 128, 7*j + 104 = k*u + 2*j. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 14 = -5*s, 7*s + 54 = 26268*h - 26271*h for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-662*q + 402*q + 373*q)*(-1 + 2 + 2) - 1 - q + 1.\nAnswer: 338*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (8904\/(-1166))\/((-12)\/(-66))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/19 (b) -0.1 (c) -2\/11 (d) -15814\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(500) - -6*(sqrt(500) - 2*sqrt(500)))\/sqrt(10).\nAnswer: -25*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**2 + u**2 + 3*u**2)*(u + u - 3*u) + (-3*u**2 - 2*u**2 + 3*u**2)*(1 + 2*u - 1) + u**3 - u**3 + 2*u**3 - 3*u**3 + 0 + 0.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9 - 611*x**3 + 0 + 620*x**3 wrt x?\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 389774 and 110.\nAnswer: 1948870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 12. Let j be s(0). Let n(h) = 26*h**3 - 3*h**2 + 4*h**2 - 3*h - 1 - 4*h**2 - 32*h**3. Let v be n(-1). Solve -v*z + 8*z - j = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.3 + -10. What is the smallest value in t, -2\/17, 0?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27 * 0.0900058.\nAnswer: 2.4301566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -80. Suppose -2 = -k + 2, -b + l = 4*k. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 2\/6333, 3\/8?\nAnswer: 2\/6333","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 424087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2\/5 - 84*h\/5 + 88\/5.\nAnswer: -4*(h - 1)*(h + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289316 divided by -479.\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55.19 - 0.81. Let y = v - -33. Let p = 23.12 + y. Round p to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 3, d: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45780*t + 7*w + 2 = -45779*t, -5*t + w + 78 = 0 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 10 = -2. Which is bigger: 10\/3 or s?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2355 = -418*m + 1407 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*t**3\/4 + 925*t**2\/4 - 403*t - 101.\nAnswer: -(t - 101)*(t - 2)*(9*t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -23 (c) -48454 (d) 0.1 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210 - -0.01758.\nAnswer: -209.98242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166 and 1757569322.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 5) + 12 - 12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - 26*i + 1. Let q be k(26). Let y(p) = p + 4. Let w = -10 - -7. Let x(h) = h + 1. What is q*y(t) + w*x(t)?\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3063, -6039, -9031, -12039, -15063, -18103?\nAnswer: -21159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - s)*(-8 + 10 + 2*s - 3*s).\nAnswer: s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4370, 8748, 13136, 17540, 21966, 26420, 30908?\nAnswer: 35436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/167 smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**5\/(((k**(-4\/7)\/k)\/k*k*k)\/k*k)*(k**(-2\/7))**(1\/32) assuming k is positive.\nAnswer: k**(89\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 2 k, and 1 l when four letters picked without replacement from zkklqkz.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**3 + 21*d**2 - 2*d - 7. Calculate b(-11).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**2 + 3*v**3 + 6*v**2 + 6 - 5 + 0 as z*v**2 + h + j*v + k*v**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (((2*sqrt(91) + sqrt(91))*2)\/(sqrt(7) + sqrt(28)*2) - ((sqrt(156) - sqrt(156)*-2)\/sqrt(12) - sqrt(13) - 1*(sqrt(13) + 2))))**2.\nAnswer: -6*sqrt(13)\/5 + 238\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 940224?\nAnswer: 2, 3, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004471 to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of m**5\/20 - m**4\/2 - m**3 - 2*m**2 - m. Let g be a(7). Solve 0 = -s - g*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7534285.7 * -0.1\nAnswer: 753428.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -487 - -2a96?\nAnswer: 260a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -3)*20\/8. Suppose -200 = a*o - 0*o. Does 5 divide 4\/10 + (-264)\/o + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7767177 is divided by 299?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 68909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.6 + 7. Let b = 0.4 - l. Let o = 38\/35 - 20\/21. What is the nearest to -1 in b, o, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740185035.\nAnswer: 3, 5, 49345669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 99761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 53*d**2. Let f(a) = 58867*a**2. Give i(f(q)).\nAnswer: 183662155517*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 + 2*u**2 - 9*u + 3545. Let f be v(0). Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -44*m**3 + 2*m**2 - 8*m + 18. Let i be z(2). Let s = -321 - i. Suppose 3*b + 2*b - 35 = 0. What is the greatest common divisor of s and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2555 - -3?\nAnswer: 3002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**19\/((j**7*j*j)\/j*j) assuming j is positive.\nAnswer: j**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -26\/23 in -0.3, -0.4, -6, 5\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2 = 0, -2*g + 12110 + 11523 = s. Let p = 35105\/3 - g. Let l = p + 116. Which is the fourth smallest value? (a) l (b) -0.1 (c) -3 (d) 26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/((-15)\/(-2))*102\/4. Let z be 1*4 - i\/17. Suppose -32 = -z*y - y. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*d - 3*v = -72*d + 15, 8 = -4*d - 5*v. Let f(a) = a**3 - 8*a**2 + 21*a + 6. Give f(d).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 197144530*p**2 + 223602687.\nAnswer: 394289060*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 747*o = 334*o - 879*o + 40052 for o.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i - 2. Let l be y(3). Let x(v) = v**2 + 2*v - 3. Let f(u) = -u**2 - u + 4. Let s(r) = l*f(r) + 5*x(r). What is the units digit of s(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1033204 (base 5) in base 10?\nAnswer: -17929","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*f - 89 - 514 = -324 + 1536 for f.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -12 + 21 - (-5 + 4 + 0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 148041*o**2 + 5479108440*o - 5478960400.\nAnswer: (o - 74020)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -5*z**6\/6 - 4*z**5 - 15*z**4\/2 - 20*z**3\/3 - 5*z**2\/2 - 3. What is u in y(u) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**3\/3 - 2. Suppose -3*a - 5*r + 12 + 9 = 0, 2*a = 4*r - 8. Let c(i) = 4*i**a + 0*i**2 - 4*i**2 + i**2. What is f(c(t))?\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**6\/180 - 2*f**3\/3 - 8*f**2. Let a(q) be the first derivative of m(q). Let w(r) = -19*r. Determine a(w(n)).\nAnswer: -722*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4*d**3 - 20*d**2 + 20*d + 20. Let s(x) = x**2 + x - 2*x + 0*x - 1. Let j = -1406 - -1386. What is j*s(m) - k(m)?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-10\/9))**(-6\/13)\/(x**(1\/10)*x*x)**(-45) assuming x is positive.\nAnswer: x**(7411\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*k - 16*k - 5. Solve 3*a = -2*v + 1 - 3, -a = -k*v - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a51d47 (base 14) in base 8?\nAnswer: -25211773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = -5*k - 18*o - 9050, 5*k + 9040 = 3*o. Does 19 divide (48\/(-15))\/(19\/k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 + 12*f**2 + 13*f - 4. Let w be g(13). Let y be (2 - 5)\/(3 + -2). Let u be w\/14*(-3)\/y. Which is bigger: u or -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -531772800 to the nearest one hundred thousand.\nAnswer: -531800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o + 117. What is the remainder when y(-8) is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1245 is divided by 46.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -498*i**2*j**3 - 16*i**2*j**2 + 2*i**2 - j**6 + 2 wrt j?\nAnswer: -2988*i**2 - 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**5*u**3 + 456*n**5 + 181*n**2*u**3 - 3*n**2*u**2 wrt n.\nAnswer: 120*n**2*u**3 + 27360*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**3 - 3*z**2 + 3*z - 2. What are the prime factors of o(3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 169 = 5*j, -53 = -844*y + 843*y + j for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 15 + 15 + 16 + 0 + 8 - 4*f. Give h(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 2:24 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -8, -4.\nAnswer: -8, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 1. Let u be f(1). Let p be u\/4*-1*6. Suppose 85 = 2*i + q, 2*i + p*q - 73 = 6*q. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 17*v**6\/30 - v**4\/4 + 12*v. Find the third derivative of a(x) wrt x.\nAnswer: 408*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 102533\nAnswer: -51266.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 684\/132 - 4\/22. Let w be 3\/6 - 236\/(-8). Suppose 50 = s*v - w. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*j + 720 = 9*j. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 9:07 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 371\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 14. Let r = -8 + 27. Let k = r + -7. Let u be l(k). What is the greatest common factor of u and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*a + 25986 = 38*a. Is a a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -130164 equal to -130165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -151493 or -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/y**(2\/31)*y**(-2\/29) assuming y is positive.\nAnswer: y**(779\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(10))\/sqrt(2) - sqrt(15)\/sqrt(3)*4.\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -1. Which is smaller: w or 1\/21?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20.64 + -0.36. Let o = q - -21.2. What is the nearest to o in -5, -4, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - ((58 - 73) + (-5 - 0)) - -46?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-91)\/4*20*(-2)\/(-140).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2578 + 23203\/9. What is the third smallest value in l, -1957, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188\/(-16)*1\/((-4)\/112)?\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -104414?\nAnswer: -104421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from ggesgee?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 10:43 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1330 divided by 266.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6*u**2 + 17. Let d(s) be the second derivative of -s**4\/6 + 3*s**2 + 141*s. Determine 6*b(y) - 17*d(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - n = -5 - 4, 5*o + 3*n = 37. Suppose 5*m + 10 = -o*r, 6*r - 4*m = r - 19. Is 0 + (-333)\/r - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 38\/303 and -83\/247734.\nAnswer: 25021134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2229?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 175269993.\nAnswer: 3, 53, 337, 3271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14678, 58765, 132252, 235139, 367426, 529113?\nAnswer: 720200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 8. Suppose -4*f + 2*h + 26 = -h, -3*f + 5*h + 25 = 0. Let k = f - a. What is the remainder when 25 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*b - 3303 = 0, -81 = 25*b - 6. List the prime factors of y.\nAnswer: 3, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (33\/((-1452)\/344))\/(306\/1683)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 + 8*h - 4. Let v be u(-4). Let t be (v\/30*1)\/((-4)\/6). Let 1\/4*s**4 + 1\/4 - 1\/2*s**2 - 3\/4*s**t - 3\/4*s + 3\/2*s**3 = 0. Calculate s.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 2*x - 242. Suppose 125 = -217*k + x*k. Solve -4*y + 5*i = -2*y - k, 2*y = -3*i - 15 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175665 by 29.\nAnswer: 175665\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 4\/3*o - 10\/3*o**2 - 14\/3*o**3 = 0 for o.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 a factor of 18542036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21734618 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(-2\/9)*h**(-5)*(h**(-1\/3))**37 assuming h is positive.\nAnswer: h**(-149\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a decade in months?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15021 or -15023?\nAnswer: -15021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 - j**2 - 2*j + 4. Let a(n) = -8*n**3 + 2*n**2 + n - 5. Let o(z) = 4*a(z) + 5*r(z). Factor o(c).\nAnswer: 3*c*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in 4\/17, 5, -2.1, 1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 241998721 to the power of 1\/3, to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*r + 5*i - 3, -3*i - 24 = 3*r. Let s = -4 + 13. Let l be 11 - s - 24\/10. Which is the closest to l? (a) -0.2 (b) 4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 8:27 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a century in years?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*u - 3*f, u - 4*f - 3 = -8. Is 11 a factor of (u\/2)\/((-9)\/2358)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -362838495 rounded to the nearest one hundred thousand?\nAnswer: -362800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 AM and 6:08 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954328 a multiple of 1028?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -23, -471.\nAnswer: -471, -23, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*r + 4*c, -3*r + c + 15 = -1. Let m = -6 + r. Let s = m - -7. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8950 and 24216910.\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49 or -1\/9?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -131.386179998.\nAnswer: -132.386179998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-2*(sqrt(162) - (sqrt(162) + sqrt(162)*-1)))**2 + ((-1*sqrt(162))**2*6 - sqrt(162)).\nAnswer: -9*sqrt(2) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.185 + 6.185. Which is the biggest value? (a) -2.15 (b) -4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99625 - 298877\/3. Let r = -17849 + 1784959\/100. Let q = -4\/25 - r. Which is the closest to x? (a) 5 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 5432060.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -32, -1, 11, 4, -8, 144 in decreasing order.\nAnswer: 144, 11, 4, 2, -1, -8, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((324\/(-405))\/(8\/(-2)))\/((-3774)\/740).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/(-100) + (-13)\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 123062667 to the nearest integer?\nAnswer: 497","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3319 + 5823. What is the remainder when q is divided by 228?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74706 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 989133155?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - -4 - (17 + -21 - (-5 + -6 + 12)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 12:23 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {l: 2, j: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2218 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2322\/6450)\/((-2)\/10)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w**2 + w - 3. Let x(r) = -8*r**2 - 4*r + 9. Let c(d) = 11*b(d) + 4*x(d). Let y be c(8). Suppose -y = -5*h + 8. Is h a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15617*w = 15459*w - 3634 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12515901?\nAnswer: 3, 4171967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = 4*z + m, 4*z = 2*m + 6. Suppose f = -z*f. Let t(n) = -n - 10 + 1 - n**2 + 6. What is t(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 89 divide 171342711?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-2 + (-5 - (6 - (9 + -2))))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aqq when three letters picked without replacement from uoauqqk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11022, 22486, 33948, 45408?\n\"Answer: -j**2 + 11467*j - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 2. Let g = -855 + 862. Let v be -9 + (-290)\/(-30) - g\/(-3). Sort v, -2, p in ascending order.\nAnswer: -2, p, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*d - 8, o - 68 = 3*d - 82. Solve 5*a = 5*h + 10, 0 = 2*h + 5*a - d*a - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 3, -6, 0.5, -5\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*y - 4*y + 110399996, n + 4*y = 27599996. Suppose -4*i = -i - n. What is i rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 1:02 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + t = 43, -2*r + 8*t - 4*t + 4 = 0. Let o(m) be the first derivative of m**2\/2 - 6*m + 7. Determine o(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**3 + y**2 + y + 7. Let o = -30 + 45. Suppose 5*d = 5*s + o, 8*s - 4*s - 2*d = -6. What is the remainder when l(s) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in years?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3338896709 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 211534 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/4*882\/1617)\/((-35)\/(-14))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/u**(4\/11))\/u)**43 assuming u is positive.\nAnswer: u**(301\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 72247382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5331082553 to the nearest integer?\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1405 and 17?\nAnswer: 23885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -145 in 6\/115, -1\/3, 0.5, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 6:55 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 982 - -11e6?\nAnswer: 1b68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -68, 27312, 4, -5 in ascending order.\nAnswer: -68, -5, 0, 4, 27312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 9*u - 4130. Let n = u - 379. What is the greatest common factor of 187 and n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.4, -60, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 + -1.2. Let w = -2.92 - 0.08. What is the nearest to f in 0.5, 1\/3, w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 45\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20*w**2 - 2*w - 2. Calculate m(-2).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 2*x = 0, -j + x = 3 - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + (sqrt(144) - (sqrt(144) + sqrt(144)*2)))\/(sqrt(4)\/sqrt(18) - sqrt(2)) + -1)**2.\nAnswer: -18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 7*k + 15. Let b be w(5). Suppose -1205 + 255 = -b*a. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 7*u**2 - u - 9. Let m be x(-7). Suppose 2*t - 14 = 2*h, t - 5*t + 25 = -3*h. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8574 is divided by 175.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-3 + sqrt(1008)*2 - sqrt(1008) - (-4*sqrt(1008) - sqrt(1008))*-2)*-6)**2.\nAnswer: 23328*sqrt(7) + 2939652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 346609 is divided by 274?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a gram in milligrams?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 175 = -d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82368 and 75660?\nAnswer: 39948480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(2 + 5) - 1455\/(-105). Solve 5*y + 4*n = -17, -3*y - 4*n - g = -y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 5 + 13. Let l be x*2\/10*5. Let t be ((-3)\/l - 1)*2. Is t at most -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 3*h - 3. Let v = 3 + h. Suppose -i = i - v. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 5247918.\nAnswer: -20991672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 8) to base 4.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 2*k + 42 - 33.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -64740, -129111, -193482, -257853, -322224?\n\"Answer: -64371*a - 369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 13 = 3*k - 6*k, 0 = -4*o + 3*k + 19 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2875*d**3*g**2*m**3 + d**2*g**2*m**2 + d**2*m**2 - 53*g**2*m**3 wrt d?\nAnswer: 17250*g**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2337, 4, 0.2?\nAnswer: -2337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 41*g + 475. Let f be q(-22). What is the nearest to -2\/3 in f, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69049557 to the nearest integer?\nAnswer: 410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 332936433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) 3 (c) -2\/11 (d) -1 (e) -0.2 (f) 204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 4. Let r(g) = 2*g**2 - 4*g - 2. Let a be r(y). Solve -o - 6 = -2*l, 3*l + 0 = -o + a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 50. Determine t(-20).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 272\/72 - (-2)\/9. Factor 2*t**3 + 0*t**2 + 3*t**s - t**2 - 2*t**2 - 2*t + 0*t**2.\nAnswer: t*(t - 1)*(t + 1)*(3*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2701 and 638093?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p**5 + 415*p**4 - 1463*p**3 + 1499*p**2 - 265*p - 150 = 0. Calculate p.\nAnswer: -2\/9, 3\/4, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(6*a + 6 - 6)*((2 - 4 - 1)*(-3 + 4 + 2) - 4 - 2 + 4).\nAnswer: 132*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 116176, 232320, 348464, 464608, 580752?\n\"Answer: 116144*p + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 1. Let g(y) = -y. Let s(h) = 2*g(h) + n(h). Determine s(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602349?\nAnswer: 3, 400261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.4*249\nAnswer: 846.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.01, -1\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2535 + 2535.0003389. Round j to 5 dps.\nAnswer: 0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*r = 5*m - 126*r - 8, -4*r = -2*m - 16 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2547323*t**3 + 2938911.\nAnswer: -7641969*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s + 3*s + 0*s + 2*s**3 - 4*s - 6*s**3 + 3*s**2 as z + n*s + i*s**2 + g*s**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*v**4\/11 + 21726*v**3\/11 + 108494*v**2\/11 + 173520*v\/11 + 86744\/11 = 0 for v.\nAnswer: -10843\/4, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i + 7*i + 3*h = 12, h = 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10702)\/5*((-190)\/(-20) - 12). Solve l*o + 4 = 5353*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59715 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + d**2 + 3. Let c be v(0). Suppose -73 = -4*x + c. List the prime factors of x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 353*m**5 + 5*m**4 - 5*m**3 - 130314*m**2.\nAnswer: 21180*m**2 + 120*m - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*b**2 + 18*b + 881 wrt b.\nAnswer: 14*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -34, 67, 5, -31 in increasing order.\nAnswer: -34, -31, -3, 3, 5, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2. Let p(i) be the second derivative of -161*i**4\/12 + 152*i. Determine p(l(k)).\nAnswer: -161*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5955 is divided by 1969?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2. Let s(r) = r**2 - 53*r + 196. Let x be s(4). Let l(v) be the second derivative of 0*v**2 + x*v**3 - 7*v - 1\/3*v**4 + 0. Calculate l(u(d)).\nAnswer: -16*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -26*r - 474. Calculate the lowest common multiple of 80 and u(-19).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 365, -3\/10, 20, 0.4, 5 in descending order.\nAnswer: 365, 20, 5, 4, 0.4, -3\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118 and 1416.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1772*n**3 + 7091*n**2 + 7100*n + 12 = 0 for n.\nAnswer: -2, -3\/1772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/4311 and -55\/218754.\nAnswer: 104783166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 111 + 62 = 3 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-78 + -1)\/(-1 + 0)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-500 - 442 + 942 - 11951*g)*(1 - 1 + g) to v*g**2 + a*g + j and give v.\nAnswer: -11951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 7 = -s + a, -s + 5 = -a. Let m be 0*1\/3*s. Solve m = 2*v + 4*z + 2, 7 = v + 2*z - 4*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 103221 and 78.\nAnswer: 2683746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.38 + -0.02. Let z = -78 + 83. Which is the biggest value? (a) f (b) 2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102023554 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 113957 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(637)))**2.\nAnswer: -56*sqrt(13) + 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 + 6*d + 4. Let m = -1948 - -1954. Calculate t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6348 * -0.1.\nAnswer: -634.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 7*j**2 + 6 + j**2.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2261 and 3591.\nAnswer: 61047","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/480 and -109\/49380.\nAnswer: 395040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4 = 3. Let v be 1 + 12 + -1 + r. Let m be (12 - v)*(-6)\/2. Solve 3*l = -5*u + 20, -6 = -5*l + m*l + 4*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -8.48944.\nAnswer: 8.18944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from {l: 9, y: 1, x: 2, t: 2, u: 3, b: 1}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 8. Suppose 5 = 8*g - 59. Suppose -56*t + 52*t = -g. Let i be (-7)\/t + 1\/(-2). Determine h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 + 236 = 8*i. Solve 13*x - 9*x = i for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.037 - 1.08. Let m = -0.007 + u. Let f be 6\/(-9)*6\/(-14). Which is smaller: m or f?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -6. Let o = r - 10. Which is the third biggest value? (a) o (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 646 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 756.21 - 744.21. Let c be (-48)\/10*(-3 - -13). Let k = 191\/4 + c. Sort n, -0.4, k.\nAnswer: -0.4, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 930062541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3707 - 3707. Let h = 4.4 - -16.6. Sort d, -1, h in descending order.\nAnswer: h, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 - -170. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 248*h + 503. Let n be a(-2). Let q(d) = d**3 - 6*d**2 + 4*d - 14. What is q(n)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 12*f**2 - 17*f - 12. Let x be k(-13). Suppose -2*s = -3*s - x. Is 13 a factor of 8\/s - ((-186)\/5 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28938 < 28950?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n - 3. Suppose 0 = -4*i + n*a - a + 50, 0 = -4*i - 2*a + 70. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k + 51. Suppose 13*u + 0*u - 104 = 0. What are the prime factors of r(u)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7488)*-3 - sqrt(52))\/(4*sqrt(256)))**2.\nAnswer: 17797\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1666*r**4 + 2937*r**3 + 48051734*r**2?\nAnswer: -39984*r + 17622","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1864*c**6*j - 11034*c**3*j**3 + 87*c**2*j**3 - c**2*j + 3*c - 373*j**3 - 3 wrt c?\nAnswer: 223680*c**3*j - 66204*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5360069 divided by 38?\nAnswer: -5360069\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 + 26. Suppose a + x*a = 20. Put -4, 3, a in decreasing order.\nAnswer: a, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-1*sqrt(1053)*-5 + sqrt(13) + sqrt(13) + (sqrt(13) - (0 + sqrt(13)*3)) + sqrt(156)\/(-3*sqrt(12)))*-5)**2.\nAnswer: 23868325\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-1)*j)\/j)**(34\/5)\/(j**(1\/6)*j*j**(-2\/9)) assuming j is positive.\nAnswer: j**(-17\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + -0.1. Let p be 8\/20 + 284\/(-10). Let m = p - -31. What is the smallest value in m, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 4, 17, 38, 67?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56605619 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 758778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 5 = f. Suppose -50 = -0*h - f*h. Let p = 366 - 366. Solve p*u + 5*u - h = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2966, -11684, -26214, -46556, -72710?\nAnswer: -104676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1014 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3\/314 + 5003\/2198. Let n = b - 55\/21. Are 1 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 37*o + 62. Let b(m) = -11*m - 20. Let a(s) = 7*b(s) + 2*p(s). Let r(i) = -3*i**2 - 13*i. Determine r(a(z)).\nAnswer: -27*z**2 - 249*z - 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/11 - 2396*h**3\/11 + 49875*h**2\/11 = 0 for h.\nAnswer: 0, 21, 2375","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -z - 2, -3*n - 1 = -4*z. What is the remainder when 33 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:51 AM and 9:22 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*i**3 + 8*i**3 - 6*i**3 + 3*i**3 + 0*i**3.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*k - 8, -5*n + 2*k + 142 = 0. What are the prime factors of n?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 + q + 1. Suppose -r = -0*r - 4*x + 9, 0 = -r - 5*x + 9. Let i(d) = -7*d**2 - 2*d - 2. Determine r*i(k) - 2*u(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -50, -115.3 in descending order.\nAnswer: 1, -50, -115.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -10*g**2 + g + 1. Let i be y(-1). What is the units digit of (-635)\/(-25) + 4\/i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -22*z**2. Let x(c) = 374*c - 4. Determine o(x(f)).\nAnswer: -3077272*f**2 + 65824*f - 352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -17*w**3 + 3*w + 3. Suppose -8 = 4*m + 5*x - 16, 23 = -5*m + 2*x. Let z(i) = 17*i**3 - 2*i - 2. What is m*z(b) - 2*a(b)?\nAnswer: -17*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440847 is divided by 109?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237914036?\nAnswer: 2, 443, 134263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101110100 (base 2) to base 15.\nAnswer: 3de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/((-832)\/(-336))*19\/1064?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/((f*f**10)\/f))**(12\/13) assuming f is positive.\nAnswer: f**(-96\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 368 and 16396792.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 3.4.\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7507*j**2 - j + 7836*j**2 - 22861*j**2 + j + 7517*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 4\/3. Let w = -0.3 + 0. Let f be (-2)\/36*(9 - 5). What is the biggest value in w, v, f?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/((199\/(-597))\/(2\/(-16))))\/(6\/2)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13493, 13494, 13495?\nAnswer: 13496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 872 - 364 = 0. Suppose -f = -m + 204. Solve -3 - f = -o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from iiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*l + 120 = 57*l. Suppose -l*f = -658 - 194. What is the remainder when f is divided by 19?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -183 by -928.\nAnswer: 183\/928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = -5*f + 397 + 288. What is the remainder when f is divided by 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 - 16 - 23 - 24 + 87 - 7441*a in the form k + b*a and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + sqrt(7)) - (sqrt(7) + (sqrt(448)*3 - sqrt(448))).\nAnswer: -21*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 841263.4l to millilitres.\nAnswer: 841263400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**3 - 988*c**2 + 3708*c + 43740.\nAnswer: 4*(c - 243)*(c - 9)*(c + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3808 - -11407\/3. Calculate the common denominator of w and 49\/129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 411\/52 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-32)\/(-12) + -4)*-9. Let v be -4*r\/(-32) + -1. Let l = -50 + 46. Which is the second smallest value? (a) l (b) v (c) 2\/17 (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-29)\/58)\/((-189)\/(-28)*(-10)\/(-6))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.7 - -1.3. Let v = m - 14. Let f = 2 - 4. Sort f, v, 4.\nAnswer: v, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -1 - -5 - -1) + -15.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2*q**2 + 14 - 5)*(-3*q + 0*q + 0*q).\nAnswer: -6*q**3 - 15*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/33 - 10\/6. Let z(h) = -13*h**3 + h**2 + 4*h + 2. Let i be z(p). Suppose -3*q = q - i. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25286513423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -641880 and 19465640?\nAnswer: 20107520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 21 = -3*s + 4*d, 3*d + 6 = 0. Let y(t) = -t**2 - 10*t + 12. Is y(s) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, -0.1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 277*i - 41246 - 7822 = 0. Solve -173*u + i*u = -8 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 414060?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -q**5\/60 - q**4\/3 + 3*q**3\/2 + q**2 - 20. Determine i(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-20)\/(-4) - -1)*-2. Is -3*(-2512)\/o*30\/(-24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose z = -5*t - 5 + 30. Differentiate 3 + 7 + t*b - 6 wrt b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 715.7*0.215\nAnswer: 153.8755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 + 425*k**2 + 3*k**3 - 425*k**2.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 4*h**2 + 0*h**2 + 8*h - 51*h**2.\nAnswer: -55*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(5*d**2 + 13*d**2 - 3*d**2) to the form g + t*d + u*d**2 and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -18715, -2\/9, 0.3, 3 in increasing order.\nAnswer: -18715, -2\/5, -2\/9, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11580 - 11580.1. What is the second biggest value in 0.73, -3, h, -0.3, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17\/((-4)\/(-96412)*-1) + 1. Round h to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 0, -18 in decreasing order.\nAnswer: 11, 0, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (94 - 90) + -17 + -81.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71 - 50. What is the remainder when 39 + (-3 - (-20)\/4) is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*((((i**(5\/2)*i)\/i)\/i)\/i)\/i))**(6\/11))**29 assuming i is positive.\nAnswer: i**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**4 - 4705*q**3 + 316815*q**2 - 4819815*q - 10944450 = 0.\nAnswer: -1005, -2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 2*h - 148 + 235.\nAnswer: 2*h - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -32, -2, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 355 + -106. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 11:14 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1047, 2836, 4625?\nAnswer: 6414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of -15*((-15)\/5 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-6)*((-12)\/2)\/(-2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozz when three letters picked without replacement from pooppppzpppz.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c04f - 0?\nAnswer: -4c04f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 35*l**2 - 6*l. Let y(r) = -r**2 - 24*r + 6. Let j(p) = 2*p**2 + 44*p - 11. Let u(a) = 6*j(a) + 11*y(a). Calculate u(v(q)).\nAnswer: 1225*q**4 - 420*q**3 + 36*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5*t = -206, 220 = -4*v - t - t. Let k = -31 - v. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 112 + -72 + 32.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-9 - -7)) + 3 + 2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -66, -126, -196, -270, -342?\nAnswer: -406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-9)*(-60)\/(-8)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -25*w + 4114. Calculate s(166).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w - 524. Suppose 1447 = 5*t + 2*c, -w - 1179 = -5*t + 4*c. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3175.1*-0.105\nAnswer: 333.3855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*t**3 - 917*t**2 + 927*t**2 + 13*t**3.\nAnswer: t**3 + 10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - 11 - 8)*((0*s + 2*s - 4*s)*(-2*s + 2 - 2) - 1 - 2*s**2 + 1 + 0*s**2 - 2*s**2 + 3*s**2 + 2*s**2 - 4*s**2 + 0*s**2) as h*s + f + v*s**2 and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*r = -144*r - 12107 + 2889. Does 843 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -107*w**6\/30 + 64*w**3\/3 + 84*w - 95. Let p(t) be the first derivative of o(t). What is the second derivative of p(b) wrt b?\nAnswer: -1284*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1034\/3 - 344. Sort z, 0.1, -0.5, -0.2.\nAnswer: -0.5, -0.2, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - -2 - (-2 - 1). Suppose g - 5*g = -b*g. Solve g*i - 2*i - 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1880 - 1875. Solve 5*g - 7*g = -10, 35 = -j*z + 2*g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6111889790 to the nearest one million.\nAnswer: 6112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-1 - -8) - (-7 - -10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 568420382?\nAnswer: 2, 284210191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6545 * -231.\nAnswer: 1511895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1013006 * -25.\nAnswer: 25325150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 (base 8) in base 13?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -117893*f. Let a(x) = -624*x. Give a(p(b)).\nAnswer: 73565232*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j*j**10*j)\/j)\/j)\/(j\/(j*j**11)))\/(j**3)**(-28))**(-2\/9) assuming j is positive.\nAnswer: j**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 4*m**2 - 2*m. Let p(r) = -r**2 + r. Let f(z) = 2*p(z) + s(z). Let b(a) = 26*a - 2. Determine b(f(t)).\nAnswer: 52*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11622*g + 1485 = 11577*g for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**3\/3 - n**2\/2 + n - 24. Let a(k) = 9*k + 17*k**2 - 8 - 1 - 2*k**2 - 5*k**2. Determine -2*a(i) - 18*m(i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 18 - -17)*(-3)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*u. Let t = -197.465 - -197.4. What is the closest to -1 in u, -2\/5, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 + 18 + 0*i**2 + 2*i**2.\nAnswer: 2*i**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -171*p - 1. Let r(v) = 2256*v. Calculate a(r(u)).\nAnswer: -385776*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u - 25 = -26*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 0)*-6.\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (-91 - (-7 + 3)) + -1 - (-19 - -21).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1595754 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-10) - 2\/5. Suppose n = 4*l - 65 + 25. Let p = 23 + l. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -362.75129 - -360.992. Let r = -1.4896 - 0.2704. Let s = r - q. What is s rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**4\/12 - i**3\/6 - 42*i**2. Let g(l) = -9*l - 5. Let w(a) = 2*g(a) - 10*k(a). Let s(d) = -63*d**2. Give w(s(o)).\nAnswer: -126*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753251 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 a when three letters picked without replacement from {y: 4, o: 2, j: 2, a: 3, g: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 24134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3459981?\nAnswer: 3, 7, 37, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -133 + -139?\nAnswer: -26c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3219 is divided by 231?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-13) + (336\/(-130))\/((-750)\/16875)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 3*q - 41, 4*q - 3*n - 65 = -12. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -82 - -82.37. Let g = 1.21 - 1.04. Let p = f - g. Which is the biggest value? (a) -2\/5 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*o - h**2 + 18*h*o**2 + 5*h wrt o?\nAnswer: -h**2 + 36*h*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 8*j**3 + j**2 + 47*j + 1. Let l(u) = 2*u**3 - u**2 + u - 1. Give -h(g) - l(g).\nAnswer: -10*g**3 - 48*g","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let b(t) = t**2 - 126. Calculate b(u(q)).\nAnswer: q**2 - 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 92*s**2 + 275*s - 950. What is n(-95)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13 and -7.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*z = -57*z - 1056. Let m = z + 3702\/7. Find w such that 0 - m*w**2 - 4\/7*w - 2\/7*w**3 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 537*l + 534*l + 552553 = 0, 2*b + 2*l - 221026 = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*2*(-1)\/2. Suppose -2 = -j*q + 2. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.3, 0, 20, -4, 0.06?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1136200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 9*k**2 - k - 3. Let q be r(-9). Suppose i = 5, 5*i = q*f - f - 5. Let l(y) = -11*y - f - 14*y + 17*y - y**2. Calculate l(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 34*h - 37*h = 66*h. Solve h + 4\/7*c - 2\/21*c**2 = 0.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 1. Let m(z) = 0*z + 0*z - 5*z + 1 - 3*z. Let u(i) = m(i) + 4*q(i). List the prime factors of u(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*d - 12, -3*s + 5 = -5*d + 31. Suppose d*c + k - 922 = -82, 4*k = c - 227. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3455 + 3440. Put v, -1, -14 in decreasing order.\nAnswer: -1, -14, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 22, -8\/7, 23\/4, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -230 = 17*h - 22*h. Solve h = 8*f + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -18 - -44. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 12*w**2 - 10*w + 16. Give l(11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 94939*f**3*r*u**3 - f**3*r*u + 15*f**2*u**3 - 1110*f**2 - r*u wrt f?\nAnswer: 569634*r*u**3 - 6*r*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2387 + -1982. What is the greatest common divisor of 18 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.6 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h - 8*h = -17*h. Let u be (-1*2)\/(-2)*5. Solve x = 2*r, h = 4*x - r - 2*r - u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74428494 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 910 + -908. Calculate the highest common divisor of 386 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npppknkkcppkkkkn. What is prob of picking 2 n?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/((-94)\/20))\/(5*(-12)\/(-30)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6111 - 36755\/6. Let h = -4393 + 26495\/6. What is the common denominator of w and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9517825 is divided by 183?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 - 3*y**2 - 2*y**2)*(0*y + 2*y + 2*y) + 3*y - 16 - 2*y**3 + 10640*y**2 - 10642*y**2 - y as v*y**2 + j*y**3 + t*y + x and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(2\/24))\/((-920)\/((-320)\/16))\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -49 * 1\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -33203?\nAnswer: -33220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1563 divided by -1.\nAnswer: -1563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 6, r: 3, i: 3, v: 6}. Give prob of sequence vrhh.\nAnswer: 1\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3671050 - 59846.1.\nAnswer: 3611203.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -399906548535+38.5\nAnswer: -399906548496.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47962, -95927, -143890, -191857, -239834, -287827, -335842, -383885?\nAnswer: -431962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 191296219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9*n + 8100 = 0. Suppose -g + 824 = -n. Is (0 + g)*(-6)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 15, r: 4}. Give prob of sequence rrvv.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010210000121110 (base 3) in base 5?\nAnswer: -13141411032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t*t**(-20)*t)\/t)\/t**(3\/4)*t*t**(-4\/27)*t*t\/t**(1\/18) assuming t is positive.\nAnswer: t**(-1723\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, t: 3, v: 5}. What is prob of sequence mvt?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.641685mg?\nAnswer: 0.000000000641685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -211, -521, -975, -1579?\nAnswer: -2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1771 divide 189387198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-87)\/6*4\/(-116). Suppose 3\/2*i**3 - t*i + i**4 + 0 + 0*i**2 = 0. Calculate i.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 175423290\nAnswer: 1\/35084658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15783\/4 or 3.17?\nAnswer: 3.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -65 - -145. Does 20 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 108159888, 216319775, 324479662, 432639549, 540799436, 648959323?\n\"Answer: 108159887*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q + 7. Let g(h) = 7*h - 15. Let z(v) = 33*v + 104. Let y be z(-3). What is y*c(u) + 2*g(u)?\nAnswer: -u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 2:34 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 4*v**2 - 1 + 5*v**2 + v. Let x be g(1). Which is the third smallest value? (a) -1 (b) x (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 74 = 36*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -885 divided by 8658\nAnswer: -295\/2886","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32 and 510032?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19323 divided by -1017.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 276554194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -k + 0*k - k + (7 - 3 + 0)*(-2*k - 2 + 2) + (-k - 3*k + k)*(-2 + 2 - 1) as m*k + z and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 117\/145 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -124345446 - 12?\nAnswer: -124345461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of 0*x**2 - 1\/10*x**5 + 0*x**3 + 0 + 3*x - 1\/12*x**4. What is the third derivative of f(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and -88.05498.\nAnswer: 3.5221992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 3201*b**4 - 11*b**3 - 3200*b**4 - 11*b**3 - 12*b**3 + b**2 to the form g + t*b**3 + u*b**2 + c*b**4 + a*b and give t.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 104080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34.53 + 2.73. Let t = b + 29. Let f = 1.06 + t. What is f rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 + (-354)\/(-24))\/(6\/(-8) - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -907, -908, -909, -910, -911, -912?\nAnswer: -913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -5*o + 4*z, -64 = -2*o - 11*z + 16*z. Suppose -7 + o = 5*w. Solve -36 - w = 8*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 874, 1582, 3450, 7060, 12994, 21834, 34162, 50560?\n\"Answer: 97*k**3 - 2*k**2 + 35*k + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 96 = -4*n - 64, 0 = -4*n + 5*j + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101110101000 + 11011?\nAnswer: -11101110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -7*c - 21. Give k(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 306 = -m. Suppose -3*b = -4*z - 188, 0 = -5*z + 14 + 6. What is the highest common divisor of m and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**5\/120 - t**4\/48 + t**3\/6 - 9*t**2. Factor k(w).\nAnswer: -(w - 1)*(w + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(700) + sqrt(700) + 2 + sqrt(700) + 1.\nAnswer: 3 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -187.7. Are 2\/5 and g equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -3044\/59?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, g: 6, p: 5}. What is prob of picking 4 p?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 5, 3, -66, -3.\nAnswer: -66, -3, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60277 - -60220. Suppose -8*p + 5 = -3*p + 3*a, 4*p + 5*a = 4. What is the fourth biggest value in 4\/9, p, h, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((4 + 4*sqrt(448))*-5)**2.\nAnswer: -359200 - 12800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42*v**2 + 96*v**2 - 35*v**2)*(19*v**2 + 41*v**2 - 11*v**2).\nAnswer: 5047*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 9*y - 23. Calculate the remainder when 135 is divided by y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11231.\nAnswer: 11, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*g - g + 2*g)*(-2 - 1 + 4) - 3*g - 2*g - g)*(-3*g**4 + g**4 + g**4 + (2*g - 2*g + 2*g**4)*(-2 - 1 + 4) - 18 + 18 + 6*g**4).\nAnswer: -56*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 45056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 + x**5 + x**5 + (-4*x + 6*x - x)*(-2*x**3 + 5*x**4 + 4*x**3 + 3*x**2 - 3*x**4).\nAnswer: 3*x**5 + 2*x**4 + 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (0 - -1 - (-11 + 10 - -8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4583682, -4583739, -4583796, -4583853?\nAnswer: -4583910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/((0 - 11)*(-50)\/550)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mimmmmmmimm. Give prob of picking 2 m.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 6*n**2 - 9*n + 13. What is the remainder when v(-6) is divided by 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 146 - 55. Calculate the remainder when z is divided by 25.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/1301 (b) 4 (c) 6\/7 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 375886593 to the power of 1\/2, to the nearest integer?\nAnswer: 19388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2170108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/4, -5, 7, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106481897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -1\/20*z**5 + 2\/3*z**4 + 0 + 2*z**2 + 0*z**3 + 5*z. Let a be u(8). Solve -3*o + a*c + 29 = 2*o, 5*o + c - 24 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 54582 + 3201 = 0. What are the prime factors of c?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3*z + 5. Let c be g(-3). Let l(w) = w**3 + 6*w**2 + 7*w + 6. What are the prime factors of l(c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48 - -47.6. Let r = -6 + 9. Let p = 2 - r. What is the third smallest value in l, 4, p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus 202.4392497137?\nAnswer: -202.7392497137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 644321038?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14435 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -10. Suppose -5*r + v*r = -20. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*50*3242\/316. Let p = q + 513. Let k = p + 229\/316. Which is the nearest to -1? (a) k (b) 3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, r: 3, v: 1}. Give prob of sequence vssr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 4, -133 in decreasing order.\nAnswer: 4, -2\/5, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3933)\/8694*(16 - -26).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -594 + 969. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-184)*-2*53*(-1008)\/44520?\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 12 + 1 + 29 + 17?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40 - 8)\/((-144)\/96).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/8)\/((-46)\/(-3128))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:46 PM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -46*y + 9. Let s(l) be the second derivative of 23*l**3\/6 - 2*l**2 - 2*l. Let a(b) = -5*s(b) - 3*u(b). What is the first derivative of a(o) wrt o?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 7*n + 3*n + 2*n - 33 + 33 - 44*n + 2*n - 3 + 3 + (0 + 0 - 8*n)*(1 - 2 + 0).\nAnswer: -36*n + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xzzxtxxz. Give prob of picking 2 x.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 228 divide 3070847420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22432307 or -89729229\/4?\nAnswer: -22432307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107963?\nAnswer: 107, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*f + 74. Let g(c) = -3*c - 937 - 4*c**f + 937. Determine g(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/19 + -43\/76. Let q = -10\/176307 - -12263348\/3819985. Let s = q - 40\/13. What is the nearest to -1 in 0, s, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 28\/15 in 3235, 155, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6705, -13393, -20057, -26685, -33265, -39785?\nAnswer: -46233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (204\/15 - 1 - (-898)\/(-8980))*34\/(-5)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.05 in -0.033, 3, 31.8, 0.3?\nAnswer: -0.033","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -237*v = 5*n - 241*v - 14, 5*v - 56 = -6*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/3 + 23*f\/3 + 42.\nAnswer: (f + 9)*(f + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010222 - -2?\nAnswer: 2011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 10437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 326, -49, 9, -5, 37 in ascending order.\nAnswer: -49, -5, 9, 37, 326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7402 is divided by 28?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**13\/(((f*f**(-1\/23))\/f)\/f))\/(f\/f**(-22)*(f\/(f\/((f**(-14)*f)\/f)))\/f) assuming f is positive.\nAnswer: f**(139\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -17, -39, -69?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12823684?\nAnswer: 2, 29, 227, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -661.844 + 7.244. Let a = u - -656. Do 28 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 499*l**2 - 2*l - 21. List the prime factors of v(2).\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 47211*p**3 - 47127*p**3 - p.\nAnswer: 84*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/260 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(-15) - 6\/80. Let y = 0.6 - 0.2. Which is the third biggest value? (a) y (b) -1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1413 - 1411. Let n = -6\/5 - -13\/15. Let y be 20\/(-175)*(-5)\/2. Sort n, p, y.\nAnswer: n, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/20800 and -31\/1664.\nAnswer: 41600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 m when four letters picked without replacement from mrmjmmmjjrmrkmmkmmmk.\nAnswer: 11\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 841 + 5456 = 0. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 796614?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d**4\/3 - 43833*d**3 - 175336*d**2 - 526012*d\/3 = 0. Calculate d.\nAnswer: -2, 0, 131503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-1)*((-492)\/24 + 20). Sort p, 5\/29, -0.3 in decreasing order.\nAnswer: p, 5\/29, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 2 (b) 27\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 364*t = 359*t + 3*y + 15, 0 = 4*y for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1053\/5 - -6503\/30. What is the common denominator of u and -2 - -2 - (-2 - 31\/(-11))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(1 + -4 + (sqrt(275) - (sqrt(275) - (1 + sqrt(275)))))*-4 + 2)**2.\nAnswer: -7600*sqrt(11) + 111444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1175.84 + -1147. Let b = -0.16 - q. Let o = 28.9896 + b. What is o rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*c + 7135969 + 3910899 - 435636 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183565977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 8*m + 5. Suppose u = 5*u - 40. Suppose 0 = 4*k - 14 - u. Give t(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*(-6 + 2 - 498). Let s = h - 197. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6781 less than -147434?\nAnswer: -154215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(143)\/((sqrt(176) - sqrt(11))*-4) + 4 + -2.\nAnswer: -sqrt(13)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -116 + 200. Let y = k - 13. Let t = y - 68. Sort 0.4, -0.2, t, -3 in ascending order.\nAnswer: -3, -0.2, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 35 = -3*u. Suppose 2*i - 4*b + 17 - 1 = 0, 0 = 2*i - 5*b + 19. Let g = u - i. Is 11 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -44 - j**2 - j + 1\/6*j**3 - 1\/12*j**4. Calculate b(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 115\nAnswer: -345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241379 is divided by 123?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(32\/940) + (108\/32 - 3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q - 1 + q + q + 2. Let s be w(3). Solve -3*y + 2*r + 22 = y, 4*y - 32 = s*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3 (b) 0.1 (c) -0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 2:06 PM?\nAnswer: 1:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 13) in base 3?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 10*v**2 - v - 1. Let m be g(-10). Suppose -2*q + m - 1 = 0. Suppose -q*j - 42 + 142 = 0. Solve j = -5*t - 0*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y. Suppose -5*t + 4*s - 36 = 189, y = -2*t - 4*s - 90. What is the units digit of (-2)\/(-8) + t\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -252, -518, -784, -1050?\n\"Answer: -266*p + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29324475.\nAnswer: 3, 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 181197 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, k: 1, t: 2}. What is prob of picking 1 v and 2 t?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l - 7*l + 1901 = -39*l - 3894 for l.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23312 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3*d - 1961 = 0, g = -4*g + 4*d + 2459. Let v = g + -146. What are the prime factors of v?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -13\/2, -2\/7, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6647*h + 0 + 1 + 6647*h - h**3 + h**2. Let o(m) = 10*m**3 - 12*m**2 - m - 11. Determine -2*o(c) - 22*q(c).\nAnswer: 2*c**3 + 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -85*l + 13650. Let s(v) = -3*v + 505. Calculate -2*q(o) + 55*s(o).\nAnswer: 5*o + 475","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 - -58. Solve q = -2*s + 4*s + 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = b + 48. Suppose -4*a = -4 + b. Suppose -4*s = -s. Put a, 3, s in increasing order.\nAnswer: a, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 j when three letters picked without replacement from jgmijpijpspjij.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 10:42 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26\/5 + 27\/10. Let a be 0\/(3*(-4)\/(-12)). Let l(x) = -7*x - 4. Let t be l(a). Which is greater: r or t?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*(q**(-8)\/q*q)\/q)\/(q*q\/(q*q\/(q**(-3\/5)*q*q)*q)))\/(q*((q**10*q*q)\/q*q)\/q*(q*q**(1\/8))\/q))**(2\/7) assuming q is positive.\nAnswer: q**(-821\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1128 is divided by 985.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/1)\/(35244\/242792).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**6\/600 + q**5\/300 + q**4\/15 - 2*q**3\/5 + 36*q**2 - 2*q. Let a(d) = 0. Calculate d.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 4*t**2 + 4*t - 1. Let a(k) = -2*k**2 - 2*k. Let u(h) = -5*a(h) - 2*s(h). Let b(m) = 9*m**2 + 11*m + 11. Determine -2*b(p) + 11*u(p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 - -2.18. Let t = u + -2.5. Which is greater: t or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*c = -4, 2*i - 5*c - 10 = 8. Suppose -a + 43 = -47. Let t = a + -87. Solve i*x + t = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by -13.\nAnswer: -38\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-27) - (43 - 1). Let a = 42 + t. Suppose 1\/3*b**2 + a - 2\/3*b = 0. What is b?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 9*d**2 - 11*d - 19. Let m be j(-8). Suppose 0 = 3*r - 11 - 4. Suppose -b = -m*b, r*b = 4*w - 56. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**16\/(p**(-11)*p*p) assuming p is positive.\nAnswer: p**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/(15\/20). Suppose y - r = n, 4*n = -3*y - y + 32. Suppose -n*i + 1 = -14. Solve -u + i*m = -4*u, 3*u = 2*m + 21 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 9*v + 4 = -5*u, 0 = -4*v - u + 12. Solve -2*z + v - 11 = -o, 4*z + o - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7223 (base 8) to base 16\nAnswer: -e93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-4))**(-1\/51))**(1\/24) assuming f is positive.\nAnswer: f**(-5\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 422 + 643624?\nAnswer: 644246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -u**5\/2 - 29751*u**4\/2 - 124769799*u**3\/2 - 249450349*u**2\/2 - 62355150*u = 0?\nAnswer: -24700, -5049, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 48376, -2205\/4, 0.3 in decreasing order.\nAnswer: 48376, 0.3, -2205\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 261*d + 4292. What is m(243)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - f**2 - 13 - 10 + 6796*f - 6796*f.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 5*j**2. Let h(d) = 7*d + 5. Let x(z) = 4*z + 3. Let b(t) = -6*h(t) + 10*x(t). Give b(y(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 8342, 5 in descending order.\nAnswer: 8342, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -63.25 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 27 + 18. Let n = q + -11. Let u be ((-5600)\/(-3))\/(n\/150). What is u rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-595)\/850*(-8)\/(-98).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 847180.\nAnswer: 2, 5, 42359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/70)\/((-4)\/(-2) + 34\/(-10)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261132*l**3*w**3*x**3 + 18*l**3*w**3*x - 6*l**2*w**2*x**3 + 2*l**2*x + 141*l*w**3*x**2 - 429*l*w**2*x**3 wrt l?\nAnswer: 1566792*w**3*x**3 + 108*w**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 2*w**4 + 0*w**4 + (3*w**2 - w**4 - 3*w**2)*(7 - 3 + 0) - 2*w**4 - w**4 + w**4.\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 339818211.\nAnswer: 3, 19, 1987241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006957 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 4. Let w be g(3). Let x be ((-14)\/(-2) + 4)*w. Suppose -5*q - x = -31. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 3*f + f**2 + 0 + 0*f**2 + 2. Let i(t) = t**2 + 6*t + 5. Let q be i(-3). Determine r(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1457*s**4 + 4000*s**2?\nAnswer: 34968*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9845385007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**3 - 77*g**2 - 632*g + 3841. Calculate o(84).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 5)*(1 - 1 + a)*(-3*a + 2*a - a)*(-3*a + 0*a + 2*a).\nAnswer: -14*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-nine thirds of a minute?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 10. Let v(b) = -b - 11. Let x(l) = 4*s(l) - 3*v(l). Calculate x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - p = -49, y = 6*y + 2*p - 80. Suppose 19*x + 36*x - 13*x - 84 = 0. Solve x = 4*f - y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + -1 + sqrt(13) - sqrt(13))*4.\nAnswer: -4 + 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 169 + -186. Let q = m - -13. Sort q, -4\/3, 0 in increasing order.\nAnswer: q, -4\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1418 and 5685471?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33232 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/(((10\/(-9))\/(-10))\/(1\/9)). Suppose 4*x + x - 20 = 0. Sort 0, m, x in increasing order.\nAnswer: 0, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30601700 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 - 55*t**2 - 120*t - 11*t**3 + 6*t**3 - 6 + 123 = 0.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 271913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -374 + 468. Find the first derivative of -8*k**3 + 51*k - 54*k - 4*k**3 - a - 3*k**3 - 8*k**3 wrt k.\nAnswer: -69*k**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 643.\nAnswer: 6430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 777 - 2138. Let w = 2698 + v. What are the prime factors of w?\nAnswer: 7, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(-14)*539\/14. Suppose 8*x - 190 = -d. What is the greatest common factor of x and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -529250.2 to the nearest ten thousand.\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1104 and 1043349?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - 4*a)*((3 + 18 - 7)*(4 + 25 + 6) - 1 + 0 + 0).\nAnswer: -489*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 12 = 15*k. Let f be (-14)\/(-56) + k\/(-8)*-14. Solve -8 = -4*q + 2*u, q + 6 = 4*q + f*u for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and 495264783?\nAnswer: 495264783.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 + 830*l**2 - 2555*l - 3380.\nAnswer: 5*(l - 4)*(l + 1)*(l + 169)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6603605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1808382 at least 1\/82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/1 - (-1 - -1). Calculate the remainder when (-21)\/((-2)\/8*6) is divided by (b + -2)\/((-6)\/(-16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71064394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26101 + 15856. Let h = n + 102337\/10. Find the common denominator of h and (-65)\/(-10)*-4*(-14)\/(-248).\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -884 and -34207249.\nAnswer: -34208133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-5))\/((-3)\/(-15)*7)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6535 (base 7) to base 16.\nAnswer: -919","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 4*k. Give y(5).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337027 is divided by 310.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 w, and 1 z when three letters picked without replacement from {u: 2, c: 2, w: 4, x: 3, z: 1, o: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120)\/sqrt(2) + sqrt(60))*5)\/(-1*sqrt(128)))\/((6*sqrt(600) + sqrt(24) + sqrt(24))\/(sqrt(216)\/sqrt(6))).\nAnswer: -15*sqrt(5)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 2*k - w - 5, -4*k = 5*w - 25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-57)\/11 + (-8)\/(-748)*17.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/10673 smaller than -1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/21*(-500)\/25)\/(3\/42).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 502*298\nAnswer: 149596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3264?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -11, -2, 330 in ascending order.\nAnswer: -11, -2, 0, 3, 330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -56 times 0.5\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82625 by 637.\nAnswer: 82625\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 205*y**2. Let s(g) = 201*g - 110*g - 55*g - 59*g. What is s(u(z))?\nAnswer: -4715*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67821*j - 67809*j = 180 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*f**2*w + 17*f**2 - 5*f*w**2 - 44*w**2 + w - 67 wrt f?\nAnswer: 22*f*w + 34*f - 5*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2574902 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/(99\/330).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.1. Let i = -43.2 - -39. Let c = 4 + i. What is the closest to 1 in c, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0 = 4. Suppose 2*i - t*i = -2198. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 4. Let o be u(4). Let x be (-3)\/3 + 0 - -7. Suppose -g + 4*g - x = o. What is the greatest common divisor of 3 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-2))**(-2\/93)\/((j\/(j\/(((j*j*(j\/(j*j*(j**(-4\/11)*j)\/j))\/j)\/j)\/j*j)))\/((j*j**9)\/j*j)))**(-3))**(-13\/5) assuming j is positive.\nAnswer: j**(140309\/1705)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -240, 6, 9, 5.\nAnswer: -240, 5, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3263.8956 rounded to 0 decimal places?\nAnswer: 3264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r\/(r*r*r**(2\/5)))\/r*r)**(1\/82)\/(r**(2\/9))**12)**(-39) assuming r is positive.\nAnswer: r**(21359\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {z: 1, q: 4, b: 1, v: 2, n: 2}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 - 23. Put -1, -0.3, 0, s in increasing order.\nAnswer: -1, -0.3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + 15 - (19 - (-1 + 3)) - -60) + -7\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 16. Let c be z(9). Suppose -8 = -3*l + c. Suppose j - l*j + 8 = 0. What is the remainder when j is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55337, 99627, 143917, 188207?\nAnswer: 232497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/87, 2, -0.01, -5, -42.75?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q + 97 = -42*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -0.3, -7\/135, 0.1, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1666, -1737, -1930, -2305, -2922, -3841, -5122, -6825?\nAnswer: -9010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 2:15 AM?\nAnswer: 5:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2488539, -2488544, -2488561, -2488596, -2488655, -2488744, -2488869?\nAnswer: -2489036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 2 + (3 - 4 - 1)*(-2 + 5 - 1) + 0 - 1 - 1 - 1 + 1 + 8)*(779*u - 143*u - 301*u) + (3 - 3 - 1)*(0*u + 0*u + 2*u).\nAnswer: 1003*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l. Let x(w) = 141*w**2 + w - 1567. What is x(o(y))?\nAnswer: 141*y**2 + y - 1567","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 497102, 497209, 497316, 497423?\nAnswer: 497530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 1:11 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -16610810 divided by 3322162?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48786 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + 3. Let h be n(-6). Let m be ((-5)\/(-2))\/(h\/(-6)). Suppose -3*g + 12 = 0, 2*g = 4*i - m*i + 9. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 2*l**2 - l + 8. Suppose -6*q = -2*q - 20, 0 = -4*p + 3*q - 3. What is r(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k**2. Let q(u) = 109*u**2 + 1. What is p(q(v))?\nAnswer: 23762*v**4 + 436*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f13a - 23?\nAnswer: 7f117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -9*r + 91. What is n(-26)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 127362437 divided by -332539\nAnswer: -383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -276 - 165. Let r = 441 + k. Is r bigger than -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/10 and -59\/16070?\nAnswer: 16070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 43 = 3*z, 4*z - 29 = f - 0*f. Let h(u) = 299*u**2 - 1 + z + 2*u - 298*u**2 + 5*u. Calculate h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -10. Let a be 4\/6 - 8\/w. Let t be (a - (-1)\/(-2))*-8. Which is smaller: t or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48.983 + -48. Round r to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g. Let t(w) = -w**2 + 30 - 9 - 11 + 2. What is the smallest common multiple of 16 and t(g)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in milliseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -372 by 1631778.\nAnswer: -2\/8773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:07 AM?\nAnswer: 2:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 + 6 + (-25 - (22 - -26 - 10)))\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 9278*j - 3081*j - 3136*j - 3134*j in the form u + v*j and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + 5 + -21 + 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4\/4 + 26667*c**3\/4 + 59247405*c**2\/4 - 59274075*c\/4.\nAnswer: 3*c*(c - 1)*(c + 4445)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 53. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.69 - 2.8. Let n = 330 + -330.5. Which is the smallest value? (a) n (b) -0.2 (c) i (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = p - 34, 0 = -3*w - w + 20. Let b be 0\/1 + 60\/6. Suppose i - b = -i. Calculate the least common multiple of p and i.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1626 + -1609. Calculate the remainder when 397 is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*u - 67938 + 67742 - 102*u wrt u.\nAnswer: -121","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29822917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 6, 0 = -3*m + 4*l - 0*l + 72. What is the least common multiple of m and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)\/(d*d\/((d*d*d*d*d**(3\/8)*d*d)\/d))*(d\/d**(1\/4)*d*d)\/(d*d**(-5)))\/((d*d\/d**(1\/2)*d*d)\/(d**6\/d))**(-38) assuming d is positive.\nAnswer: d**(-2609\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 13.2549940668 + -38\nAnswer: -24.7450059332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 256*y**3 - 61*y**2\/2 - 7*y - 1. Is z(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -24789*p**3 + 2*p**2 + 50271*p**3 - 24958*p**3 - 2*p as u*p + x*p**2 + o*p**3 + i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -919*g + 5 = -2*m - 922*g, -2*g - 15 = 3*m for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 1. Let h(p) = -p**2 + 10*p + 26. Let x be h(12). Let g(f) = -f**2 - 2*f + 2. Calculate x*g(w) + 5*c(w).\nAnswer: -2*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hwdw when four letters picked without replacement from hwttxtwxwxwdxxwxtxxx?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(12) + (1*sqrt(12) - sqrt(12))*-5 + sqrt(12))\/(sqrt(48)\/(sqrt(72) - sqrt(8))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -638*c - 11449. Is y(-31) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(22)*-1 + sqrt(22) - sqrt(22)))\/sqrt(2) + 5.\nAnswer: -sqrt(11) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y**3 - 5*y**3 + 2*y**3)*(0 + 1 - 2) + (-4*y**2 - 30*y**2 + 16*y**2)*(2*y - 2*y - 2*y - y + 0*y + 2*y + (2 + 2 - 1)*(y + 0 + 0) + 2*y - y + 3*y).\nAnswer: -109*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -98*l + 764 - 2609 + 937 wrt l.\nAnswer: -98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3}. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1001112022021210 + -12?\nAnswer: -1001112022021222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**2 - m + m)*(2 - 3*m**3 + 4*m**3 - 2*m**3) + m**5 + m**4 - m**4 + (0 + 3*m**2 + 0)*(-3*m**3 - 2 + 2).\nAnswer: -5*m**5 - 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/7, -1\/16, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 7:15 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 13*g - 304 = 2*g for g.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**4 - 460*w**3 + 11850*w**2 - 57620*w + 46225 = 0. Calculate w.\nAnswer: 1, 5, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 35. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170915 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 8205.154 seconds in milliseconds?\nAnswer: 8205154","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q + 690 = 6*q. Let i = -84 - q. Which is smaller: 55 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 5*b**2 - b - 5. Let h be g(5). Let r = -16 - h. Is 30 a factor of ((-18)\/3 + 1)*r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275853*v - 65988*v + 178501*v.\nAnswer: 388366*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -94 - 49. Let u = l - -148. Solve -2*b = w, 1 = -u*b + w - 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**3 + p**3 - 4*p**2 + 1 + p**4 + 8*p**2 to the form h*p + y + u*p**3 + c*p**2 + z*p**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {f: 1, k: 2, u: 1, c: 1, i: 1, y: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/q**(-3\/23))\/q)\/q**(-2\/17))\/(q**(1\/4)*q**(-13)))**42 assuming q is positive.\nAnswer: q**(426909\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (2544\/(-1908))\/(1\/6) + -32\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 355.9725 - 0.8725. Round k to the nearest ten.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117140?\nAnswer: 2, 5, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -78277656 divided by 226236\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -437*i**2 - 203*i + 596. Give f(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -45, -93, -141?\n\"Answer: -48*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -321 - -346. Calculate the greatest common divisor of 75 and t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61737251903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1010210 (base 4) to base 6\nAnswer: 32152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236950?\nAnswer: 2, 5, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3223292 divided by 148\nAnswer: -21779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*z - 22*z + 7 - 20*z.\nAnswer: -10*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 300, -3\/7, -2 in ascending order.\nAnswer: -2, -3\/7, 0, 300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(81\/45) - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35 + 22)\/(1\/(-981746)*-1). Let t = w - -4543524811\/356. Let l = -54\/89 - t. Find the common denominator of -77\/20 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2\/47 + -55\/188. What is the closest to 1 in -0.5, x, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 18*f - 11. Let d be r(7). Suppose 3*j = 4*a - d, -2*j = -1 + 11. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2 - (174 - 174)) + 19 - 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88572 and 671.\nAnswer: 88572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 835707 and 141.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 + 188. Suppose 0 = -4*r + 2*c - j, 5*c - 81 = 3*r + 14. Let o = 39 + r. Which is smaller: 3 or o?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2230016 = -2*j + 3*j, 2*j = -o + 4459996. What is j rounded to the nearest 100000?\nAnswer: 2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (72\/(-2))\/(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3519881 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645270?\nAnswer: 2, 3, 5, 137, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305395 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (0 + 0) - -2. Let f = d - -20. Does 13 divide (4 - 2)\/(2\/f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3 and -46\/12459151.\nAnswer: 37377453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 0)\/(-6 - -8). Let m(t) be the second derivative of -14*t - 11\/10*t**5 + 0*t**3 + 0 + 0*t**4 - f*t**2. Differentiate m(i) wrt i.\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -140*b + 131. What is g(1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/10 of a second?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4113 by -1293.\nAnswer: 1371\/431","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3530955*i**3*j**4*s + i**3*j**2*s - 73994*i**3*s + 87*j**3*s - 11*j**2*s + 41*j**2 wrt j?\nAnswer: -84742920*i**3*j*s + 522*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -183 + 183. Which is the nearest to -1? (a) -5\/4 (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52622690 to the power of 1\/2, to the nearest integer?\nAnswer: 7254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 76, 117, 160, 205, 252?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 + 2*z + 3. Let a be k(0). Suppose -u - a + 20 = 0. Suppose -v + 4*m - 32 = -11, -u = 2*v - 3*m. Let w(f) = -5*f**3 + 2*f**2 - 1. Determine w(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**3 - 180*y**2 - 252*y + 805. Calculate h(91).\nAnswer: -5565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-4))\/(15*(-30)\/45).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -12471 + 3891. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*n**4 - 765*n**2 + 765*n**2 + (0*n + 10*n - n)*(-2*n + 4*n - n + 2*n**3) in the form b*n**3 + y*n + u*n**2 + w + q*n**4 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -18*c**2 + 3*c. Let q(b) = 53*b**2 - 9*b. Let l(s) = -4*q(s) - 11*v(s). What is the second derivative of l(g) wrt g?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -13*w**2 - 251. Suppose 20*d - 172 = 16*d. Let h(j) = -22*j**2 - 24*j**2 + d*j**2. Calculate b(h(u)).\nAnswer: 78*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -12, -6, 0, 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33977*-0.435.\nAnswer: 14779.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -67, -2\/7, -1\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 21 + 63 - 8 - 16 - 17*i.\nAnswer: -17*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, n: 3, z: 13}. What is prob of picking 3 z and 1 n?\nAnswer: 286\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 1818 = 5618. Let d = 1303 - i. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133 = x + 3*j - 132, -8*x - 3*j + 109 = 117 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l - 4. Suppose 0 = 4*i + 20, -4*v - 3*i + 0 + l = 0. Let f = 41 + v. What is the remainder when f is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tbtbbbbbbbbbb. Give prob of sequence ttbb.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -333645*s**2 - 538880 with respect to s.\nAnswer: -667290*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -12, -3, -126, -2 in descending order.\nAnswer: -1, -2, -3, -5, -12, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -17.5*66678\nAnswer: -1166865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 9*a. Suppose 5*i - 4*i - 55 = a. Is i a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87048 a multiple of 265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-6))\/((-2)\/(-21)). Calculate the highest common divisor of 119 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/8422 and 23\/14.\nAnswer: 58954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 56248725.96.\nAnswer: 56248721.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 3:11 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.96 + -7. Let n(i) = -i**3 - 7*i**2 - 8*i - 13. Suppose -13*y + 5*y - 48 = 0. Let s be n(y). Which is smaller: g or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*q**3 - 4*q**2 + 4*q - 2 wrt q.\nAnswer: -18*q - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3059 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3264462767 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 519 - -178. What are the prime factors of u?\nAnswer: 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137 is divided by 84.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 771556 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 11) to base 12.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(70\/(-21))\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of -18*u**3 + 1731*u**2\/4 - 24*u - 7510. Factor l(c).\nAnswer: -3*(c - 16)*(36*c - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 + 5*k - 4. Let w be j(1). Suppose 0 = -w*x + 936 + 136. Suppose -5*a = -3*a - x. What are the prime factors of a?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5152369\/6 + 854689. Let s = d - -4026. Find the common denominator of s and 91\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*t = 1560 + 556. What is the greatest common divisor of t and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -11.2. Which is the nearest to 1? (a) 0.3 (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 5:01 PM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 463613 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-22)*417\/(-278)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 550 by -275.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3849 = -9*o - 3903 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**3*q - 25*n**3 - 24*n*q + 3*n wrt n?\nAnswer: -18*n*q - 150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -3 + 2 + 130\/240*-4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 14*r**3 - 8*r**2. Let w(j) = -9*j**3 + 5*j**2. Give -5*t(m) - 8*w(m).\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*a + 4*m + 380 + 55 = 7*a, 0 = -0*m + 2*m for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - 245*(-15)\/(-105)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13235332 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/6)\/(2\/(-6)). Let z = -167\/5 + 34. Let u = z + -17\/20. Are u and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one quarter of a minute?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6*s - 2 + 5*s)*(s**2 - 2*s**2 + 3*s**2)*(-10701*s - 5033*s - 16089*s + 3860*s).\nAnswer: 55926*s**4 - 111852*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14563 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-2)*(-2385)\/3498*4?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363.5 rounded to the nearest ten?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8560.8 - -8561. Let g = -28 - -41. Is v >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -t**4\/4 - t**3\/3 - t**2\/2 + t - 3. Is z(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 17. Let l be (3 - 1)*1\/(-2). Let t be 28\/(-8) - l\/2. Which is the biggest value? (a) x (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 + 14 = 2*u + i, 0 = 4*u + i - 89. Suppose -4*z + 42 = -u. Solve y + 3*x - 6*x + z = 0, -2*y + 3*x = 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 24370000 to the nearest 1000000.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c - 4. Let p be t(3). Let a(k) = 3 + 9581*k + 3 - 4 - 7 - 9580*k + 2. What is a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 5, 48, 127, 248, 417?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-2618)\/17)\/11)\/((2\/(12\/6))\/(-1))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(3*r - 6*r + 2*r) + 3*r + 4*r - 4*r + 0*r - 3*r + 4*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x - 10 - 9*x**2 - 7*x. Let i(a) be the third derivative of -a**5\/30 - 609*a**2 + 8. Determine b(i(l)).\nAnswer: -36*l**4 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 45, -0.2, 2\/19, -1 in decreasing order.\nAnswer: 45, 2\/19, -0.2, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 2. Suppose -3*a + 31*a - 56 = 0. Let m(h) = -88 + 47 + 42 + a*h. Calculate -2*g(x) - 3*m(x).\nAnswer: -4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, q: 2, s: 3}. Give prob of picking 2 s.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 - 14. Let h = 236 + -110. Suppose -h = -3*y - a. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5487 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, y: 1}. What is prob of sequence yu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 187589 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2877331\/73 or 39415?\nAnswer: 39415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1813347 divided by -67161\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 191*n = 194*n - 9. What is the derivative of 34*a**3 - 15 - 3*a**3 + 11*a**n wrt a?\nAnswer: 126*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89865084 or -89865085?\nAnswer: -89865085","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of n**3\/2 + n**2 + 5*n - 12. Let y(o) be the first derivative of m(o). Let x = -2 + 0. What is y(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 10.1649512\nAnswer: 5.0824756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, m: 1, u: 2, h: 2}. What is prob of sequence hum?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.942 - 0.058. Let d = h - -8. Let x = 18.9993 + d. What is x rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:13 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -10*u - 15. Let a be r(-2). Solve -h + 0 + a = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 1. Let m(l) = -1258*l - 3. What is -3*d(w) + m(w)?\nAnswer: -1267*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 - 7*k + 8. Let u be y(6). Let s(j) = -4*j**3 - j**u + j + 9*j**2 + 7 + 3*j**3. What is the remainder when 28 is divided by s(8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.671 - 3?\nAnswer: -4.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*c - 592 + 592.\nAnswer: 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -673.0935 - -0.0935. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 216 and 42165264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (486\/216)\/(3\/2*(-5)\/(-5))*42\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8949581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 169357, 2\/11, -3, 10?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -8 + (1 - 2)*0. Let h be (-6)\/k*1\/(-3). Which is smaller: -1 or h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 198, -0.4, 0.5, -2\/37.\nAnswer: -0.4, -2\/37, 0.5, 198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 68. Suppose c = -5*p + 4*s + 3, 0 = -2*p - s + 7. Solve 5*m - p*n - 7 = n, -n - 5 = -3*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 46*((-116)\/(-8) - 8). Let d be (8\/(-10))\/(2\/(-60)). Suppose 0 = -m - d + q. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 - 21*c**2 + 19*c + 67. What are the prime factors of w(18)?\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-13)*18 - (329 - 255)?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + 51*9\/108. Suppose 47*s + 96 = -f*w + 49*s, 2*w - 5*s + 32 = 0. Which is smaller: -16 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1853.6551 + -195618\nAnswer: -193764.3449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3162\/(-70))\/(-3) + 82\/(-1435).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + 58. Suppose r*k - 2*k - 25395 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4962 + 1.0962. What is the second biggest value in j, 0.1, -0.3, 300?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 11*b**3\/3 - 1. Let k(l) = -39*l + 10. Let p(c) = -31*c + 8. Let x(i) = -4*k(i) + 5*p(i). Determine x(q(a)).\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.475847mm in centimeters?\nAnswer: 0.1475847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -86387 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/13 - 756*t\/13 - 71442\/13.\nAnswer: -2*(t + 189)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.12211 to one decimal place.\nAnswer: 70.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 20*u + 16. Let y be f(-1). Let x be ((-2)\/y)\/((-147)\/30 - -5). Solve -5*d = -x*o, -2*o = 4*d - 3*d + 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1083 is divided by 345?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1509? (a) -1\/8 (b) 4 (c) 246\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 246020 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - z - 1)*(-4 + 3 + 3)*(-31*z + z - 16*z).\nAnswer: 92*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33154, -136261, -308102, -548677?\n\"Answer: -34367*i**2 - 6*i + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 1 = -0*p - 2569*r + 2570*r - 1, 52*p = 10*r + 106 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-292)\/360 - 39\/130?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1662669653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -87\/124 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 0.12, 2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 29. Let f(q) = -2*q**3 + q**2 - 3*q + 3. Let i be f(2). What is the remainder when a(i) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*o - 53*o = -231. Solve x - o*x + x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4085 by -1.\nAnswer: -4085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-3)*(-384)\/(-2432).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -894 = -459*a + 114*a + 486 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 8*m**2 + 3*m - 3. Let w(f) = -9*f**2 - 2*f + 2. Calculate 2*r(l) + 3*w(l).\nAnswer: -2*l**3 - 11*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 6*m - 45 = 0, -2*m = 1475*o - 1473*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257 is divided by 726?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1142668 to the nearest integer?\nAnswer: 1069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (117 + 387 - 71)*(-1 + 1 + k) as u*k + z and give u.\nAnswer: 433","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -61992 (c) -5\/13 (d) 32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 145 - 0 - (-163 + 440 - 245)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166 and 23738.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 12:06 AM?\nAnswer: 11:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 10390622 to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1230201, -2460241, -3690277, -4920309, -6150337, -7380361, -8610381?\nAnswer: -9840397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, f: 3}. Give prob of sequence kkk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z. Let j be a(0). Let m be (-2)\/(-9)*3 + j. What is p in 2*p - 8\/3*p**2 + m = 0?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**4 + 5*j - 1 + 1 + 5 + 4*j**3 + 5*j**4. Let f(n) = -3*n**4 - 3*n**3 - 4*n - 4. Let s(o) = -5*f(o) - 4*i(o). Determine r so that s(r) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)**(-37)\/(v*v\/(v\/(((v\/v**1*v)\/v)\/v*v)))**(-5\/11))\/((v**(-1\/2))**29\/(v*v**(2\/3)*v**(2\/9))) assuming v is positive.\nAnswer: v**(17987\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -395, -670, -813, -836, -751?\nAnswer: -570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 16849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 take away -4076578777830?\nAnswer: 4076578777828.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 9*l**2 - 21. Let h(m) = 16*m**2 - m - 41. Let p(w) = 5*d(w) - 3*h(w). What is q in p(q) = 0?\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = -4*p + 55, 5*p + 127 = 2*q + 137 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, 14, -7, 9, 0, 2487 in decreasing order.\nAnswer: 2487, 14, 9, 1, 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1402 - 2105 = 0. Let z = 77103\/22 + p. What is the common denominator of (20\/(-15) - (-262)\/12)\/1 and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-26 - (-28 + 7))*7\/((-70)\/12). What is the highest common factor of y and 2382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/3732099 and 53\/2193?\nAnswer: 63445683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12545241 (base 8) to base 4.\nAnswer: 22230222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 291 divide 21243?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008442 to 4 dps.\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(1\/4). Let f be 0\/2 - 0\/x. Suppose -5*b = -6*b - 1. Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:16 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 867 + -862. Let n(w) be the second derivative of -1\/70*w**p + 1\/14*w**4 + 0*w**3 + 0 + 0*w**2 + 4*w. Factor n(m).\nAnswer: -2*m**2*(m - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11665, -23329, -34993, -46657, -58321?\n\"Answer: -11664*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*b - 73 = 0, -12 + 7 = 3*b + 28. Suppose -u - k = -5, 2*k + 8 = -u + 2*u. Calculate the lowest common multiple of u and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -53*r + 2. Let t(i) = -3585*i + 103. What is t(l(f))?\nAnswer: 190005*f - 7067","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-556876)\/(-69)*6\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -5293?\nAnswer: -5296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.3616399*2\nAnswer: -0.7232798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + f**2 - 2*f - 1. Let b be k(-1). Suppose -3*r = -3*a - 3, 2*a = r + b + 2. List the prime factors of (-291)\/(-33) + a\/22.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3180838, 3180877, 3180916, 3180955?\nAnswer: 3180994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 0*v**2 + 3*v**2)*(5 - 1 - 3) + 4*v**2 - 2*v**2 + 0*v**2 - 971*v + 971*v - 44*v**2 + 6*v**2 - 4*v**2 - 3*v**2 - v**2 + 18*v**2 - v**2.\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10476*u**5 + 2*u**2 - 54*u - 3?\nAnswer: -628560*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-8\/11)*o)\/(o*o**(-21))*o**(1\/3)*o**5 assuming o is positive.\nAnswer: o**(878\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 AM and 8:47 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77574 = 740*k - 30214 for k.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 17*j - 7 + 11 - 5 - 7.\nAnswer: -j**2 - 17*j - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 < -6\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11470778 and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mbqqdbqqm. What is prob of sequence mqqm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 121 - 97 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -221015.8 * -88\nAnswer: 19449390.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2968)\/8162)\/(5\/(110\/4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*s - 452, 5*w - 3*s + 281 = 838. Suppose w + 88 = 10*k. Solve -14*v = -9*v + k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1066592 and 366641.\nAnswer: 11732512","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 674457319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - sqrt(88)\/(1*sqrt(8)))*-3)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28375 - 16975. Suppose o = -2*o + u. What is o rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -488, -1145, -2246, -3791?\nAnswer: -5780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 8*r**2 + 9*r + 15. Let y(k) = -k**3 + 11*k**2 - 29*k + 33. Let n be y(8). Determine g(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01153364 to five dps.\nAnswer: -0.01153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 3*q - 390, 0 = 50*q - 49*q - 4*v - 127. Is q a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669300.\nAnswer: 2, 3, 5, 23, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose -s = 5*k - 91, -4*s = -8*k + b*k - 412. Suppose -s = -11*c + 53. Calculate the remainder when 37 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 694 + -669.99. Let o = n - 24. Round o to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2372707 is divided by 1339?\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 6. Suppose 232 + 248 = x*m. Is 20 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111157914?\nAnswer: 2, 3, 7, 47, 56311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -322.06 - -306.939. Let s = k + -0.329. Let q = s - -16. What is q rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t - 22*t + 215856 = -5*f, 0 = 3*f. What are the prime factors of t?\nAnswer: 2, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*y = -2*m + 4, -2*m = -y - 6. Suppose 3*w + 2*w + 18 = 2*q, -w = -2*q + 2. Put q, -2, m in descending order.\nAnswer: m, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (19 - (15 - (8 + -18)))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175*h = -205*h + 63360. Does 33 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 9*v**2 - 18*v. Let o(a) = a**3 - 9*a**2 + 19*a. Let n(t) = 5*d(t) + 4*o(t). Let i be n(7). Which is bigger: i or -6\/5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5483, 10996, 16503, 22004, 27499?\n\"Answer: -3*l**2 + 5522*l - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 16 + 4*z + 33)*(0*z + 2 - 1 + 2*z) + 4*z - 4*z - 2*z**2.\nAnswer: 6*z**2 + 56*z + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 12*c**2 + 14*c - 6. What is the tens digit of u(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 18881744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2 = 2*l + 48, -l = -4*b + 149. What is the remainder when b is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (4 + 5 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2802*l**3 + 1791*l**2 - 1 wrt l?\nAnswer: 16812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d - 6. Let z(k) = k**3 - 3*k**2 + 4*k - 2. Let q be z(2). Suppose 0 = -g - q*p - 15, -8 - 21 = 3*g + 2*p. What is the units digit of u(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**9\/1260 - z**7\/240 + z**5\/2 - 28*z**2. Let s(a) be the third derivative of y(a). Find the second derivative of s(l) wrt l.\nAnswer: 288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*y + 2*g + 107, 0 = y - 5*g - 3. Calculate the remainder when 108 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 120351.4 * -0.07.\nAnswer: -8424.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1723 - -7215. What is the hundreds digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -36. Let t(i) = 2*i**3 - 2*i**2 - 2*i + 2. Calculate the remainder when (-370)\/l - (-2)\/4 is divided by t(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 42.94684um?\nAnswer: 0.04294684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/92394 and 139\/194346.\nAnswer: 5636034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.1636 * -24304\nAnswer: -3976.1344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2725\/228 - 102\/19. Let x = 25\/4 - k. Which is the biggest value? (a) -2\/5 (b) -2\/13 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - -42. What are the prime factors of a?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a**2 + 29*a - 13. Let v(w) = 4*w**2 - 15*w + 6. Let p(i) = 13*v(i) + 6*y(i). What is the second derivative of p(m) wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**4)**(12\/7))**(1\/20) assuming k is positive.\nAnswer: k**(-9\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -4*j + 348 - 349, -3*z + 7 = -4*j for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 101 + -302\/3. Which is bigger: -48\/13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292021 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698 - 703 + 1387 + 4*s - s.\nAnswer: 3*s - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -299 + 493. List the prime factors of c.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 4 = 37. Let f = m - 6. Let h = -52067 - -52087. Solve 3*j - 3*c + h = 5, -2*j = -f*c + 16 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/((-665)\/300) - 5 - 4. Let y(i) = -i**2 + 4*i + 7. Let t be y(5). Put j, 1\/5, t in ascending order.\nAnswer: j, 1\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33 - -0.16. Let n = 7.03 - v. What is n rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o + 0*o + 6*o. Let t(r) = 7*r**2. Calculate t(j(f)).\nAnswer: 63*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -613*-0.13\nAnswer: 79.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 9*n = 624. Let u = n - -201. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -187 + 112. Suppose -b - 250 = -5*i + 279, 4*i = 2*b + 428. Let m = i + w. What is the highest common factor of 10 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 37.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2326?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 43167329 + -43167393.371618. Let u = -121.371541 - c. Let a = -57 - u. What is a rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.7 + -5. Let u = 0.8 + -0.77. Let i = u + -0.43. What is the third smallest value in z, i, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 5*b + 7. Let y(u) = -5*u**3. Let z be y(-1). Calculate o(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75154455?\nAnswer: 3, 5, 23, 72613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - (-28 + 1)) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 100*j + 789. Give s(-8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 3*s**3 + 4*s**2 - 7*s + 2. Calculate t(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1051 - 12*r - 1051.\nAnswer: -12*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least as big as 15579\/695?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/7, 4\/3, -0.2, -0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 - -29.5. Let k = x + 0.5. Let s = 14 - k. What is the third smallest value in 1\/2, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.1 - -0.1. Let v = -2951.6 + 2951. Let j(g) = -g - 6. Let z be j(-9). Which is the third biggest value? (a) v (b) x (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5327102.933 - -71.\nAnswer: -5327031.933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2635\/352 + -129\/32. Calculate the common denominator of ((-10)\/6)\/(25\/(-70)) and t.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 598139189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 627*x - 35. Is 12 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830180967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 5*q**6\/6 - 7*q**4\/2 - 2*q**3 + 43*q**2\/2 + 232. What is the third derivative of m(d) wrt d?\nAnswer: 300*d**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 907893\/102296 + -2\/12787. Calculate the common denominator of u and 55\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*u + 5905*u = -1385*u - 15907 - 377918 for u.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/7*28\/392)\/(20\/70)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2 + 7*h - 4. Let g be i(6). Suppose -3*b + 4*k + 285 = -502, -k = -g. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**2 + 50*c + 196. Give n(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 1. Let x(p) = 27*p - 4. Let g(u) = 6*i(u) - x(u). Let h be g(1). List the prime factors of (-33)\/(-5) + (-14)\/h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in thirteen quarters of a micrometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.68 in 2, -0.4, -0.1, -0.04, -13?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 1571292.\nAnswer: 7856460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*1019\/2 - 10\/(-20). Let t = a + -183. 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 the greatest common factor of 14 and 34622?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-42)*42\/(-12)*5\/(120\/(-336))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 1. Suppose 2*z + 36 - 13 = -5*o, 12 = -4*o. Let x be v(z). Solve 8 = -x*q - 7 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 66913 * -2.403.\nAnswer: -160791.939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 8*a**3 + 316*a - 5*a**2 - 26 - 316*a.\nAnswer: -8*a**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, b: 3, o: 1, c: 2, p: 3, k: 2}. What is prob of sequence kcc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 6:05 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 485.7631 decades?\nAnswer: 58291.572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20 - 1166468?\nAnswer: -1166488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 261315232?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-12))\/(2\/(-372)). Suppose -2*h + 79 = -5*p, 150 = 4*h + 4*p - 6*p. Let c = q - h. Calculate the remainder when 48 is divided by c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*f + 2*g, 5*f = -44*g + 48*g + 26. Factor -19*k**3 + 31*k**3 - 201*k**4 - 48*k - 16*k**f + 205*k**4.\nAnswer: 4*k*(k - 2)*(k + 2)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-1))\/(o*o*o*o**(-30)))\/(o\/o**(-3)*o)**(11\/7))**(-7) assuming o is positive.\nAnswer: o**(-134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -860438*p**3*z - 3*p**3 - 22*p**2 + p*z + 2*p + 137513*z wrt p.\nAnswer: -5162628*z - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -750.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-18)\/8)\/(132\/(-19712)) is divided by 83.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 11268887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1861\/11 + -169. What is the third smallest value in 1\/3, p, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dds when three letters picked without replacement from nvsvdndsn.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -423.8213484 rounded to the nearest 10?\nAnswer: -420","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(180) + 5)**2 - (sqrt(180) - (-3 + sqrt(180)))*-5)*-4.\nAnswer: -924 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0 - 3*k**4 + 2*k**4 + (16 - 16 + 27*k)*(-5 + 3 + 4)*(2 - 3 - 1)*(0*k**3 - 4*k**3 + 2*k**3) as c*k**3 + n*k**2 + r*k + p*k**4 + o and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.17? (a) -4\/23 (b) -6.8 (c) -103\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -8622?\nAnswer: -8624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3327 - 3328. Is 31\/259 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207038024, 207038026, 207038028, 207038030?\nAnswer: 207038032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1300 and 89\/1170.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of -x**4\/4 + 3*x**3 - 5*x - 83. Let b be (8 - 6)*18\/4. Give c(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 16\nAnswer: -23\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 8:45 PM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5 - 378*x**4 - 402*x**3 + 2664*x**2 + 399*x - 2286 = 0. Calculate x.\nAnswer: -3, -1, 1, 2, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k**2 - 1. Let j be c(1). Let g(w) = w**3 + 8*w**2 + 6*w + 2. Let d be g(-7). Let r = d - -16. Calculate the highest common factor of j and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 108114, 216314, 324564, 432858, 541190, 649554, 757944, 866354?\nAnswer: 974778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31281*12\/(-18))\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**2 + u**2 + u**2. Let f(n) = -2*n**2 + 2*n**2 + 4*n**2. Calculate d(f(m)).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 7*n**2 - 461*n + 7. Let m(p) = 4*p**2 - 230*p + 4. Determine -3*f(q) + 5*m(q).\nAnswer: -q**2 + 233*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c - 753. Let j(s) = -7*s + 1506. Give -2*j(q) - 5*w(q).\nAnswer: -q + 753","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5*r - 135 = 2*r, 0 = 2*b - 3*r - 100. Let g = 101 - b. Let m = g - 46. What is the smallest common multiple of 37 and m?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -579*m. Let k(r) = -2*r**2. Determine j(k(l)).\nAnswer: 1158*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 26220?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 - (-94)\/(-8). Let d be (-3)\/(-2)*(-8)\/m. What is the nearest to 0 in d, -1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 15*w**3 - 2*w**2 + 2*w - 2. Let x be q(2). Let z = x - 60. Let h = z - 34. Solve 0 = 3*o + o - h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 34*s - 22*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -0.116\nAnswer: 0.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22780651 is divided by 529782.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 6*g**2 - 59*g - 445. Determine s(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -5*c + 86. Calculate the remainder when c is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 47, 31, -25, -133, -305, -553, -889?\nAnswer: -1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 3 - 9 + 7*b.\nAnswer: 7*b + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 84750 - 49465. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 180 - 179. Which is the second biggest value? (a) -2\/3 (b) y (c) -5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k + 0*k - k + (-4 + 0 + 7)*(-4*k + 0*k + 12*k))*(k**2 - 5*k**2 + 2*k**2) as q*k + f*k**2 + r*k**3 + x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 0 - 8*p + 17*p.\nAnswer: 9*p - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -7*g + 231, 280*q = -282*q + 558*q + 168 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*c = -183*c + 203 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**2 - 6*s**2 - 5*s**2 - s**2 + 6*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*x - 54\/5*x**2 - 3\/5*x**4 + 0 - 33\/5*x**3.\nAnswer: -3*x**2*(x + 2)*(x + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1823 and 51421361.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1965199 and 6955.\nAnswer: 6954.8034801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18929*n**2 - 13*n - 458 with respect to n.\nAnswer: 37858*n - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3 = -19. What are the prime factors of (2\/c)\/(-1)*6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*2*-2)\/(sqrt(294) + sqrt(294) + (sqrt(294)*2 - sqrt(294))).\nAnswer: -4*sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + -4 - 8) + 8 - (15 + -37)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1352 and 182.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.5 + 0.0921\nAnswer: -2.4079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -23*w**4\/4 + 15*w - 7. What is the derivative of g(k) wrt k?\nAnswer: -69*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 863998 to the nearest integer?\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 10692, 1 in increasing order.\nAnswer: -4, -1, 1, 10692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2088.657 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*j**3*z + 22*d**3*j**2*z - 2*d**3*j*z - d**2*j**2*z + d**2*j - 2*d*j**3*z wrt d.\nAnswer: 6*j**3*z + 132*j**2*z - 12*j*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 + -0.041?\nAnswer: 71.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 18 = m + 2*m, 4*d = 2*m - 22. Let u be -2 + 1*(m - 3). Suppose 0 = -0*j - 3*j - f + 9, u = -5*f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 9*p. Let m(j) be the first derivative of -j**4\/8 - 3*j**2 - 11. Let g(h) be the second derivative of m(h). Give b(g(x)).\nAnswer: -27*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 156*a*h + 44*a + 25419*h - 2 wrt a?\nAnswer: 156*h + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -2*t - 1, t + 3*t - z = 33. Solve -t + 4 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -178 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 402.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-9))\/((-4)\/(-6)). Suppose 2*p - 161 = -0*p + s, -g = -s. Calculate the remainder when p is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w**(2\/9)\/w*w)\/w)**(-27)*w\/(w**(-6)*w)*w*w\/(w*w**4\/w) assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 7:03 AM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 13832?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/17 (b) 0.08 (c) 31 (d) 1.8 (e) 4 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-3) + (-8)\/14. Let r be (0 - -1)\/(2\/(-66)). Let x be (1 + r\/9)\/2. Sort z, x, -3 in ascending order.\nAnswer: -3, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 7. Let s(k) = 2*k - 6. Let c be s(6). Let v(f) = f**2 - 6*f + 2. Let d be v(c). Sort 3, g, d in increasing order.\nAnswer: g, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -644436 rounded to the nearest one thousand?\nAnswer: -644000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a meter in millimeters?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5574 or 5573?\nAnswer: 5573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11228 + -180?\nAnswer: -11418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**17\/r*r*r)\/((r\/r**(3\/14))\/r*r))\/(r*r*r**(7\/4)*r*r*(r*(r**(-2\/11)\/r)\/r)\/r) assuming r is positive.\nAnswer: r**(4203\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095786223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.23204 to 2 dps.\nAnswer: 44.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h\/h**15*h\/h**(2\/21) assuming h is positive.\nAnswer: h**(-254\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i + 2 - 2)*(-2685 + 4424 - 2907).\nAnswer: -2336*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -161\/15009?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a kilogram in grams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31\/3 in 3, -8, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 513 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27638712 divided by 15432\nAnswer: -1791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 12273.5*-19.3\nAnswer: -236878.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -1. Let s be (6\/4)\/(q\/(-10)). Suppose 3*t - s*i = 122, 4*t - 3*i - 19 = 162. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3390374 and 1664.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1281 - 1075. Calculate the highest common divisor of u and 5459.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68096)\/(-760))\/(1218\/(-1740)).\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o = -3*a - 2337, -5*o = a - 11637. Suppose 4*c - o = 2*m, 31*c + 2*m = 29*c + 1170. List the prime factors of c.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*p - 12*p + 35*p)*(-2 + 2 + 3)*(-4 + 2 + 3) to a*p + o and give a.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/8 - j**3\/3 - 2*j**2. Let x(w) = w**2 - 4*w - 7. Let a be x(5). What is the units digit of c(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -2 + sqrt(832)*1 + -2 + (sqrt(832) - (sqrt(832) + (sqrt(832) - (-1 + sqrt(832))) - sqrt(832))) + -2)**2.\nAnswer: -128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -5*m**2 + 10. Let a(i) = -5*i**2 + 11. Let c(f) = -4*a(f) + 5*d(f). What is the derivative of c(z) wrt z?\nAnswer: -10*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -5*k + 76. Suppose -121 = -4*y - 81. Calculate the remainder when 179 is divided by j(y).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-80))\/(156\/((-806)\/31))?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16, -18, -28, -46?\n\"Answer: -4*d**2 + 10*d - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**2\/21 + 68080*c\/3 - 4055525600\/3 = 0?\nAnswer: 119140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2 = 2*i, 19553*d - 40 = 19548*d + 12*i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -36. Let z be 0*2*s\/32. Which is bigger: -2\/15 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 453 - 247*w - 266*w + 118*w - 365*w wrt w.\nAnswer: -760","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 0.2. Let v = -3.75 - -4.25. What is the third biggest value in t, v, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**4\/4 + 10*u**3\/3 - 13*u**2 - 28*u - 857. Determine m(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l + 5. What is u(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 42*s**2 - 54*s - 1277. What is the tens digit of b(36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3328\/9 > 371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 104298654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*23\/(-1495)*13.\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1372511312?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18820, -37777, -56898, -76171, -95584, -115125, -134782, -154543?\nAnswer: -174396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -701 times 635.9?\nAnswer: -445765.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 229? (a) 649 (b) -5\/3 (c) 2\/11 (d) 0.1 (e) -0.07 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i**3 + 16*i**2 + 2*i + 1. Let s(r) = -13*r**3 - 15*r**2 - 5*r - 1. Give 3*a(u) + 2*s(u).\nAnswer: 4*u**3 + 18*u**2 - 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30740, -30753, -30774, -30803, -30840?\nAnswer: -30885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 10:08 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (3 - 8) + -13 - -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -2*g + 2*x + 338, -4*g = -x - 585. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 - -83 - (-4 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*(48\/(-21) + 1 + 40\/40).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**3 - 135*t**2 - t**3 + 135*t**2.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -1308*2\/12*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 728.975079us in weeks?\nAnswer: 0.0000000012053159375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - -40) + (-17 - -3) + 31 + -1?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-474)\/(-2370))\/(2\/490)?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0. Let h = 118 - 117.8005. Let d = k + h. What is d rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**3 - 10*h**2 + 38*h - 77. Let q be s(-8). Which is the fourth smallest value? (a) q (b) 14 (c) 2\/11 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(190) + (-2*sqrt(190) - sqrt(190))))\/(sqrt(120)\/(sqrt(48)\/sqrt(4))) + (-2 + sqrt(2736))**2 + 5 + -5.\nAnswer: -52*sqrt(19) + 2740","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k - 1. Let a(u) = -u + 1. Let r(z) = -5*a(z) + v(z). Give r(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 - 25. Let f be (8\/(-5))\/(y\/530). Let v = f + -114. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21820 + 37156. Is m a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 194, 222, 288, 410, 606, 894?\n\"Answer: 3*l**3 + l**2 + 4*l + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37090?\nAnswer: 2, 5, 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015617 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15 - -9 - 1*-9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.015 or 1\/83?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of s**2\/2 + s - 170. Give p(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w**2 + 20*w**2 - 20*w + 18*w**2 - 79*w**2 + 22*w**2 = 0. Calculate w.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0375 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 103592 and 368?\nAnswer: 207184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15800?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.11 + -8.19. Let n = 8 + o. Let h = -4 + 3.6. Sort -5, n, h in ascending order.\nAnswer: -5, h, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11.2 - -25.8. Let n = 14 - o. Let q = n - 0.4. Which is the closest to 1? (a) 1\/2 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 5, -3*h + 5*t = 971 - 999 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 686 divide 106403654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -5 (c) 29 (d) -5\/2 (e) 0.071\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 58.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*b + 10 = -11*n - 84*b, -1 = 3*n - 2*b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1483 (base 12) in base 11?\nAnswer: -1895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + -52 + 46 - -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/2 (b) 2375 (c) -0.2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31\/92 - -2\/23. Sort -0.1, k, -17\/5 in ascending order.\nAnswer: -17\/5, k, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w*w)\/(w*w**(1\/4)))\/((((w*w**(-1\/2)\/w*w)\/w)\/w)\/w)**(-3\/4) assuming w is positive.\nAnswer: w**(-9\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.74018 to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/6 - 7\/(-3). Let y(r) = -r**3 - 16*r**2 + 11*r - 29. Let s be y(-17). Factor s*z**f - 6*z - 82*z**2 - z**3 - z**3 - z**3.\nAnswer: -3*z*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/7)\/(n**(-22)\/n))**(-32) assuming n is positive.\nAnswer: n**(-5088\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (-4*sqrt(77) + sqrt(77))*5)\/(sqrt(121)\/(-2*sqrt(11)) - sqrt(11)).\nAnswer: 28*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - 11011011101?\nAnswer: -11011011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -p**5\/10 + 35*p**4\/12 + 19*p**3\/6 - 10*p**2 - 6*p - 109. Calculate h(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23434745.\nAnswer: 5, 53, 191, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n - 67*n - 6*n - 1584 = 0 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 minus -0.07?\nAnswer: 125.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 218 divide 629685348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0352 and 574452.\nAnswer: 20220.7104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 + -38)*1\/(-3). Let o = x + 6. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/3594 and 45\/2396?\nAnswer: 7188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 22 (b) 0.3 (c) -0.06 (d) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19858 and -1?\nAnswer: 19858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the third derivative of g**7\/5040 + g**6\/90 + g**5\/10 - 6*g**2. Let r(j) be the third derivative of s(j). Determine r(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -16 - 38 - -13.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8834 (base 12) to base 4\nAnswer: -3222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 727917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-14)\/4)\/((-27)\/162). What are the prime factors of 1004\/2 + -17 + l?\nAnswer: 2, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -192 + 345. 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: Round -114.592608 to 0 decimal places.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w**2 + w. Let y(p) = -44*p**3 + p**2 - p. Give i(h) + y(h).\nAnswer: -43*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3512039 - 28061047\/8. Let m = h - 4414. Find the common denominator of m and 87\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 56*w**2 - 2*w - 192. What is c(-56)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81863354 is divided by 1290?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/77*(-84)\/24*4\/(-470).\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1267 and 47768?\nAnswer: 8646008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 14) to base 6\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1029648 and 456?\nAnswer: 1029648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 461 (b) -0.5 (c) -0.1 (d) -2\/35 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*u - 31 - 29 = 198*u. Let w be (1*-1)\/(4\/(-16)). Let x(d) = -w*d**2 + 11*d**2 - 2 + 6*d + 5 + d**3. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -603, -595, -585, -573, -559, -543, -525?\n\"Answer: y**2 + 5*y - 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + -5. Let o = 5486 - 5488. Which is the second smallest value? (a) 4 (b) o (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 129704.4605 rounded to the nearest ten?\nAnswer: 129700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*a - 34 = 0, 2*g + 5175*a = 5190*a + 154 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 430*x - 39 = 417*x, -i - 4 = -x - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -1.31, -3\/5, -2, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 896.2772kg?\nAnswer: 896277.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t, -29*t + 28*t - 132 = -0*i - i. What is the remainder when i is divided by 31?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4\/19 + 8*y**3\/19 + 64*y**2\/19.\nAnswer: -2*y**2*(y - 8)*(y + 4)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 7*s + 10 = 4*k, -5*s = -25 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + (0 - 21) - (-6 - -4)*15\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7c2 (base 13) to base 8.\nAnswer: -2475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvkkfrvvssfffr. Give prob of sequence svs.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - 60 = 12. Let z(b) = -4*b**2 + 3*b + 3. Let g be z(-3). Let a = g - -77. Calculate the remainder when a is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -139*y - 276. Calculate a(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9461*-1.9.\nAnswer: -1.79759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 592 or -479?\nAnswer: -479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 200112?\nAnswer: -200110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 11*v - 22. Let n be ((-17)\/((-85)\/30))\/(v\/2). Differentiate -10 - 20 - 26*t**4 - 10*t**n wrt t.\nAnswer: -144*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3942*v**2 - 6*v + 45. Let y be g(4). Is 16*6\/120 - y\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (5*(-3)\/(-12))\/((-2)\/(-48)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21 + 13 - -109 - 0) + -8?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h*p**3 - 5*h*p**2 + 1502*h*p - 315*p**3 wrt p.\nAnswer: 42*h - 1890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kuk when three letters picked without replacement from kuunukkkunnkk.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 = -4*h, -v - 1279 = -5*h - 1262. Let o(p) = p**2 - 7*p + 9. Let j be o(6). Suppose -j*t = 3 - 9. Solve -h*g - t*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 2*l + 17 = 0, -3*l + 10 = y - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -15758528.31135.\nAnswer: -15758526.31135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 447 + 2266. Suppose 5*c - q = -3*n, 0 = 2*n + 4*c - 1173 - 639. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 384.2 - 384. Let b = 42.053 + -0.053. Sort b, f, -0.1.\nAnswer: -0.1, f, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1644195 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/41*(-4*(-3)\/45 + (-33210)\/55350).\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20436012043 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 7665 = -3*p, -2*p - 4633 = 3*z - 7*p. What is the units digit of (-6)\/(-14) + z\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*w + 4423, -4*a - 2*w + 5363 - 1821 = 0. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 15\/(-18)*3\/(-15). Let r(g) be the third derivative of 3*g**2 - l*g**3 - 5\/24*g**4 - 7\/60*g**5 + 0 + 0*g - 1\/40*g**6. Factor r(n).\nAnswer: -(n + 1)**2*(3*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249964209.\nAnswer: 3, 11, 17, 19, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 440.8, 0.5, 2399?\nAnswer: 2399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, o: 2, a: 1, q: 1, h: 1}. Give prob of sequence oq.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.02 in 0.2, 4\/3, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -180*r**2 - r. Let f(a) = a**2. What is t(f(x))?\nAnswer: -180*x**4 - x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -634 or -635?\nAnswer: -635","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(((-16)\/(-10))\/4). Let x = 22 - v. Suppose 4 - 57*s**3 - 5*s**2 + 21*s - 33*s**x + 21*s**4 + 11*s**2 + 2 + 36*s**5 = 0. What is s?\nAnswer: -1, -1\/4, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*g + 2 - 82*g - 4 + 1565*g**2.\nAnswer: 1565*g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2759735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**3 + 4*n**2 + 5*n + 7. Let a(u) = -5*u**3 - 6*u**2 - 8*u - 11. Let p be (-1 - -4)*(-1)\/1. Let b be 0\/p - (2 - -3). Calculate b*a(f) - 8*d(f).\nAnswer: f**3 - 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - x = -8. Suppose -x*a + 9*a = 4. Let t be (0 - a) + 24 - 0. Solve -4*g + t = g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 5*x - 5 + x + 37 - 39. Suppose -o = -5*f + 21, o = f + f - 6. What is q(f)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59.643 - -0.0549\nAnswer: 59.6979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 + k**2 - k - 4. Let l be q(0). Let n be (-1000)\/(l\/272 - 0). What is n rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 4:28 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/462 and -61\/462?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = a - 3*s - 149, 3*s = -a + 155. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5087 + -5092. Suppose -4*d + 10*d = 0. Let v = 1 - 0. Which is the nearest to d? (a) v (b) 0.09 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0*z**3 + 0 + 1\/6*z**4 + 2*z + 0*z**2. Let x(q) = q**2 + 18*q + 18*q - 36*q. Determine x(v(y)).\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -134*v + 265. Let n(s) = -45*s + 94. Give -17*n(j) + 6*t(j).\nAnswer: -39*j - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the third derivative of u**8\/6720 - u**7\/2520 - u**6\/720 + u**5\/120 + u**4\/12 + u**2. Let w(i) be the second derivative of d(i). Factor w(t).\nAnswer: (t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (200\/15)\/((-1)\/(-9)). Factor -a*n**3 + 0*n**2 + 123*n**3 - 3*n**2.\nAnswer: 3*n**2*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*t + 13, -4*t + 6 = -38*k + 36*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, -2.9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 3.8. Suppose -10 = f - 5, x + 2*f = -26. Let y be 6\/(-4)*x\/(-36). Which is the nearest to -2? (a) 0.4 (b) y (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((-6*sqrt(88)*-1 - sqrt(88) - sqrt(88))\/sqrt(2))\/(-4*sqrt(12)\/sqrt(3)*-3) + 4)**2.\nAnswer: 8*sqrt(11)\/3 + 164\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/1276607?\nAnswer: 1\/1276607","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.25 + 0.25. Let s be (0 - -9) + (-84)\/9. Which is the nearest to 0? (a) s (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2 + 0.4. Let b = g - 0.6. Let m = 0 + b. What is the third biggest value in m, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153650 divided by -350\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 227, 789, 1889, 3707?\nAnswer: 6423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 5*b**2 + 507*b + 2926. Determine c(-22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 32, -1 in descending order.\nAnswer: 32, 19, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, 3, 6, 7, 6?\n\"Answer: -m**2 + 8*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 64 = -5*q, q - 4*p + 2 = 2*q. Suppose -2*s + q = 4. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-43 + (-33824)\/(-756))*27.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0*t = 8. Is 0 > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/191124 and -87\/2644?\nAnswer: 126332964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*-2312\nAnswer: 6936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1227398 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 6*v + 2*v = -36, -29 = -3*f - 5*v. Is 466 - (f\/(-2))\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3754451?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (44 - 39) + (-9 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -0.4, 168, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.05 greater than or equal to -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that a**2\/6 + 5041*a\/6 + 840 = 0.\nAnswer: -5040, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -123*v + 232*v + 96*v + 21*v**3 + 4*v**2 wrt v?\nAnswer: 126*v + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 15*o - 310. Determine f(-13).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {l: 1, w: 1, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w*((w\/(w*w*w**0))\/w)\/w)\/w)\/((w\/(w*w**(3\/4)))\/w))\/(w**(1\/4)\/w**5) assuming w is positive.\nAnswer: w**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0218 - -0.18. Let g = 40 - 39.84. Let p = o - g. Round p to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/1114 or 0?\nAnswer: -3\/1114","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 705894 = 59*v + 700761 for v.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -2*g**2 + 0 + 2\/15*g**3 - 1\/75*g**5 + 23*g + 0*g**4. Factor r(l).\nAnswer: -4*(l - 1)*(l + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -6*b**2 + 5*b + 1. Let c(u) = u**2 + 16*u + 1. Let w(r) = -r**2 - 2*r. Let h(d) = -c(d) - 6*w(d). Give 3*h(i) + 2*s(i).\nAnswer: 3*i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -78 - -78. What is the nearest to 2 in -4, 2\/11, v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*g = -11 + 31, -2*b = 5*g - 10. Solve -10 = -5*h + h - 2*m, b*m + 25 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 145, 286, 423, 556, 685, 810?\n\"Answer: -2*h**2 + 147*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4529\/4 + 13301\/12. Calculate the common denominator of (-14)\/(-36)*(-5658)\/6440 and x.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/9, 2, -0.5 in descending order.\nAnswer: 2, -2\/9, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2 + 2 = 0. Let n be -1 - -5 - (-2)\/m. Let h = n - 2. Solve -h = -b + 2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 2\/9, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120\/175 + (-8)\/28\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3171 take away -1.378643765?\nAnswer: 3172.378643765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 215 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k + 4*k + 2*k**2 - 2*k - 3*k - 5. Does 11 divide g(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3116 + 3238. Calculate the highest common divisor of 1525 and a.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2448 + 2442 = -x, 64 = -4*v + 10*x for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.32, -3, -0.3, 2\/7, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 6*n + 4. Let u be z(-6). Let x = -14 - -13. What is the nearest to x in u, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2547024 (base 8) to base 12.\nAnswer: 2a1958","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:56 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 32*y - 245*y + (3*y - 4*y + 2*y)*(5 - 4 + 0))*(-y**3 + 0*y**3 + 2*y**3) to p*y**3 + r + h*y**4 + a*y**2 + o*y and give h.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 846, 6656, 22432, 53160, 103826, 179416?\n\"Answer: 831*r**3 - 3*r**2 + 2*r + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 40, 1, 6, -93, 2\/3?\nAnswer: -93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3802 divide 343955534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -25*p + 97. What is the remainder when r(3) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * -1195.5.\nAnswer: 10759.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 3. Let z(k) = 2*k - 4. Suppose 0 = 2*p - 2 - 0. Let v = 4 - p. Suppose -h + v*h - 6 = 0. Give h*z(a) + 4*l(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 6208*s + 241680 = 0 for s.\nAnswer: -38, 1590","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 317837 - 317839.82581. Round s to 1 dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -558183*a*c**4 - 2*a*c**2 - 10*a*c + 3*a + 9*c**4 + 2*c**2 - 3387*c wrt c?\nAnswer: -13396392*a*c + 216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u\/(u*u**0)*u*u)**(2\/9))**(-24))**(-3\/20))**(4\/21) assuming u is positive.\nAnswer: u**(64\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/(-286)*4\/(-5)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 9*o**2. Let d(r) = -58*r**2. What is d(c(i))?\nAnswer: -4698*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 7*j**4\/10 - 16*j**3\/15 - j**2 + 12*j\/5 - 236. Determine q so that t(q) = 0.\nAnswer: -6\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61810 is divided by 195?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1.1. What is the nearest to -1 in c, 3\/4, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/7 (b) -12 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -4*u. Let m(b) = 13275907*b**2 - 1. What is o(m(k))?\nAnswer: -53103628*k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 174\/8 + (-2)\/(-8). Suppose -d = -3*g - 7. Suppose -g*z + 5 = -30. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 73, 196, 379, 628, 949, 1348?\nAnswer: 1831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34 - -20?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -20 (b) 1 (c) 2.48 (d) 164 (e) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -4 (c) 4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 1. Let d(n) = 38*n - 18. Let o be 5\/2*(1288\/115)\/14. What is o*d(y) + 36*m(y)?\nAnswer: 40*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 376 is divided by 76?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 9*b**5\/5 + 223*b**4\/4 - 2*b**3\/3 + 11*b**2\/2 + 3*b - 4174. Find the third derivative of o(j) wrt j.\nAnswer: 216*j + 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*z - 25, -5*y = -3*z - 25. Suppose 2*g - y*r - 7 = 0, 0 = -4*g - 5*r + 6*r + 5. Solve 2*n - g - 6 = 3*w, -3*n = -w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16130 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 221*x + 557 - 772 - 1111 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 19 + 4 - 29 - 7\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 606045 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5*((-22)\/(-10) + -1). Suppose 4*f + 20 = 0, 4*f = 5*g - 2 - 73. Suppose -5*n + 5 = 5*p, 2*p = -p + n + g. Solve -p*w - t = 9, 3*w = w + t - h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16194 divided by -6.\nAnswer: 2699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -88.6. Let a = 2096 + -2094. What is the third smallest value in u, a, 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126879933, -253759869, -380639805, -507519741?\nAnswer: -634399677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -225 + 187?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 2272 = 4*g - 2259, -g = -5*f + 27 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*v = 5, v - 5*v + 8 = 5*k. Let w(t) = -t**2 + 4*t + 2. Let p be w(k). Find the third derivative of h**3 - 5*h**2 + p*h**2 + h**2 wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 47. Let t = o - -13.9999961. What is t rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 7 (c) -0.45 (d) 8\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 4, p: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -52a59 + -a?\nAnswer: -52a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -52741389 * -0.1\nAnswer: 5274138.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2793*m**2*n**2 + 2700*m**2*n + 2*m**2 + 2350*m*n**2 - 6*m*n + 38*m wrt m?\nAnswer: -5586*n**2 + 5400*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 333696 divided by 6\nAnswer: 55616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*r**2 + 24*r**3 - 2*r**2 - 14*r**3 - 8*r**3 - 71 + r**4 + 8*r**2 as h + k*r**2 + w*r + i*r**4 + c*r**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 79.2 (b) 4\/5 (c) -7 (d) 0.4 (e) -1431 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 7379130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 720.\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x = -14*x. Let p be (x\/(-1))\/(2 + 0). Which is bigger: 1 or p?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44004 - 10?\nAnswer: -44014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17858, -17869, -17880, -17891, -17902, -17913?\nAnswer: -17924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h**6\/135 - 119*h**5\/45 - 235*h**4\/18 + 4*h**3\/27 + 940*h**2\/9 - h + 1289. Let l(r) = 0. Calculate r.\nAnswer: -235, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 - 57*y + 20. Let w(h) = 3*h - h**2 - 12*h + h - 4*h - 7. Calculate the lowest common multiple of w(-5) and u(-19).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (6*(0 + sqrt(98) + sqrt(98))*-6)**2 + ((sqrt(98) + 2 + sqrt(98) + 3)**2 - -5*(sqrt(98) + 4*sqrt(98) + sqrt(98))).\nAnswer: 350*sqrt(2) + 508444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/20 and 77\/1310.\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 0 + 0)*(670 + 759 - 1758) + (0*d + d + d)*(1 - 1 - 2) - d + 2*d + 0*d + 4*d - 4*d - 3*d.\nAnswer: -993*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 - 4*i - 16. Let c be v(9). Suppose -3*t = 4*s - c, -3*s - t + 23 = -0*t. Solve 0 = -s*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 24*r - 56. Give d(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + t. Let s be o(3). Let w be 1\/(-1) - (s + 0). Suppose 2*v = -4*k + 18 + 6, w*k = -3*v + 33. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2396*u**3 + 271*u**2 - 1213*u**3 + 2 - 1185*u**3 + 296*u**5 wrt u?\nAnswer: 17760*u**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -14. Let w be (0\/((-15)\/3))\/d. Suppose 0 = 4*n + 4, -4*o + w*n = 4*n + 28800004. Round o to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + n**2 + n - 1. Let a be x(1). Let r(y) = y**3 - 6*y**2 + 6*y - 3. Let d be r(5). Let h = d - a. Does 2 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -450 in -2\/5, 0.4, -2\/375, -2\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m + 1165. Give g(97).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 892*q**4 + 665*q**3 + 104*q**2 + 431.\nAnswer: 21408*q + 3990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 3*v**2 - 3*v + 6. Suppose -10*y + 5 = -15*y. Let t(o) = -o**2 - o + 1. Determine y*r(n) + 3*t(n).\nAnswer: -n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 406 - 136. List the prime factors of k.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 4*b + 9378 = y + 9346, -2*b - 34 = 4*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o - 4. Let z(s) = -4*s**2 - 2*s + 8. Let d(y) = 6*u(y) + 3*z(y). Let f(i) = -2*i**2. Determine d(f(g)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-13)*s*s**(-1\/2)*s*(s**(-1))**25)**(-40) assuming s is positive.\nAnswer: s**1460","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 + 779*o**2 + 258*o + 498. What is z(260)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 8*f = -3*f. Suppose f = -2*d - 9 + 49. What is the least common multiple of 24 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 5*j - 199 = -0*f, 89 = f - 4*j. Suppose 2*l - f = -3*c, 2*l - 5*c - 43 = l. Find m, given that 9*m**3 + 18*m**2 + 14*m**2 - l*m**2 - 3*m**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1296)*1 - sqrt(1296)) - -2*1*sqrt(1296))\/((sqrt(12) + sqrt(12)*1*6 + sqrt(12) + sqrt(24)\/(2*sqrt(2)) + sqrt(12))*1).\nAnswer: 24*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11107 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 127 - 115. What is the highest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 12*m**2 - 4*m. Let a(s) = 47070*s. What is c(a(h))?\nAnswer: 26587018800*h**2 - 188280*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1. Let k(w) = -w**2 - 9*w - 9. Let t be k(-8). Let u(y) = -4*y - 17. Let h(z) = t*u(z) - 2*g(z). Let f be h(-6). Sort 5, 1, f in decreasing order.\nAnswer: 5, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.99999956 + 40. Round m to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/15 (b) -3\/7 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from niavx. Give prob of picking 1 i and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5*z + 36, -2*n + 0*z = 5*z - 12. Let p = n - -6. Suppose 0*v + 42 = p*v. What is the greatest common factor of 3 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*(-3)\/594)\/(((-51)\/(-612))\/((-3)\/6)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 3*d**2 + 10*d - 4. Let m be n(-5). Let r be 16\/42 - m\/(-6). Let u = 136 + -547\/4. Which is the closest to r? (a) 3 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1120 (base 5) to base 15\nAnswer: -aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 502680524?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 76*0.4\nAnswer: 30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 2 - 7)*-6. Let k be 106 + 0 + (-308)\/44. What is the second derivative of -41*d - k + 99 + 12*d**2 - r*d**2 wrt d?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -613 - 447?\nAnswer: -a5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46 - -50. Suppose 2*s + 16 = 2*c - v, 25 = 5*c. Let w be s\/(-1) + (-3 - 1). Calculate the greatest common factor of 11 and w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 0*u - 3\/2*u**2 + 0*u**3 - 3 + 0*u**5 + 0*u**4 - 1\/6*u**6. What is the second derivative of d(q) wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4*v - 4)*(65*v + 34*v - 27*v) + 0*v**2 - 5*v**2 - v**2 to the form j*v**2 + d*v + n and give j.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400) + sqrt(4400) + 1)**2*3 + -4.\nAnswer: 240*sqrt(11) + 52799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/13 at most 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*y**3 - 22*y**4 + 38*y**3 + (-4 + 1 + 1)*(y**3 - 2*y**4 - y**3) - 6*y**2 - 3*y**4 + 6*y**2.\nAnswer: -21*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12182405?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(11) + 2)*-1 + ((sqrt(110) - (sqrt(110) - sqrt(110)*-2) - sqrt(110))*3)\/sqrt(10).\nAnswer: -10*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 327*l**4 - 19064*l**3 + 828*l**2 - 784*l + 2?\nAnswer: 7848*l - 114384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**16))\/(l\/l**(-16))*(l*l\/(l**14\/l*l)*l)\/l**(3\/2) assuming l is positive.\nAnswer: l**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4\/11*d**2 + 0 + 0*d**3 + 2\/11*d**5 - 2\/11*d + 4\/11*d**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 + 103 - 2398*p**2.\nAnswer: -2398*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 h, and 1 i when four letters picked without replacement from hhhhhimmhhhhhhhmhmii?\nAnswer: 78\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 17*q = -213. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*o + 16*o = 20. What are the prime factors of (-5)\/(25\/o) - -25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19142 = 20069*d - 18943*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 939 is divided by 466?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1594.89974219 + -1594.9. What is k rounded to five decimal places?\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 915 in 2, -4, -18, -0.7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/12 and 65\/54?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p**2 + 330*p - 4596. Give m(-77).\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4165 + 4201 = 2*w - 5*f, w + 3*f = -26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 4*r + 2*c, -2*r = -347159*c + 347154*c - 31 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.047 - 11.553. Let p = n + 6.6. Which is the fourth biggest value? (a) 3\/5 (b) -0.1 (c) p (d) -10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of -2*j**2 + 63*j + 143. Calculate d(19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*h + 10*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(171))**2 - sqrt(19)) + 3 + sqrt(114)\/sqrt(6).\nAnswer: 1542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19766285719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/9356526 and 38\/2119.\nAnswer: 121634838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 315963.1 days in nanoseconds?\nAnswer: 27299211840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9308 - 84.383453?\nAnswer: -87.314253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 2*d + 15, 2*d = -k + 5*k - 12. Which is the second smallest value? (a) 0.5 (b) k (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 5*h + 5180 = 135, 0 = -5*k - h + 8399. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**3)\/a)**18*(a**4\/a)**(3\/5) assuming a is positive.\nAnswer: a**(-261\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 5*n + 10 - 4*n + 6 + 32. Let u be s(0). Suppose -5*m - r = -91, 5*m - 2*r - 40 = u. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 12*v + 7*v + 315 = 0, 0 = -4*c - v + 261. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 37657?\nAnswer: 37657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 511491?\nAnswer: 3, 170497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -202210100 (base 3) in base 2?\nAnswer: -11101100110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 86*y**3 + 6*y**2 - 288 - 48*y**2 - 89*y**3 - 192*y.\nAnswer: -3*(y + 4)**2*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 74 - 166 - -128 - 87.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 11*y + 46. Let i(w) = -36*w + 7. Let z(r) = 5*r - 5. Let v(u) = i(u) + 6*z(u). What is 4*k(l) + 7*v(l)?\nAnswer: 2*l + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 0*m**2 - 5*m**2 + 3*m**2. Let j(k) be the third derivative of 0 + 0*k**4 + 0*k**3 + 0*k - 1\/60*k**5 + 5*k**2. Give j(a(d)).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -43*s**2 - 3818*s - 728. Determine g(-89).\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21? (a) 5 (b) -2\/7 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6397 + 32500. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**2 + 0 + 0)*(r**2 + 2*r**2 + 2*r**3 + 0*r**3).\nAnswer: -4*r**5 - 6*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 - 12 + 10 + 0*d**4 + 2*d + 5*d**3 + 11*d - 3*d**3 to the form h*d**3 + k + w*d + c*d**4 + a*d**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*w - 25*w + 19*w**2 - 47*w**3 - 15*w**2 - 27*w to b*w + g*w**3 + p*w**2 + u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 872.9501um?\nAnswer: 0.8729501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 27 = 5*k, 3*k - 5 = 5*j + 2*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 5*t + 28 + 13, 0 = -t - 1. Solve -o = 3*i + 7, 5*o + f + 11 = -3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5524 (base 8) to base 6\nAnswer: 21232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**4 + 19*t**3 + 38*t**2 + 20*t + 6. Let h(f) = 5*f**4 - 37*f**3 - 75*f**2 - 40*f - 14. Let b(n) = 3*h(n) + 7*u(n). Factor b(j).\nAnswer: j*(j + 1)**2*(j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -22395\/16, 281\/4?\nAnswer: 281\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 + 6. Let s = l - 50. Solve -4*j = -5*m - s, m - 2*j = -0*m - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2*f + 2, 4*j = -0*f - 3*f + 18. Find the third derivative of -3*g**2 + 17*g**5 + 3*g**2 - 18*g**5 - j*g**2 wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37404.\nAnswer: 2, 3, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gjg when three letters picked without replacement from vgujjvjgjvzzgrz?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2986 - 2984. Solve 3*d + g*l + 7 = 0, 2*d + 2 = l - 3*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*6\/8*(-3258)\/27. Let t = 59 + c. Is t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -8 - 3)\/(-2). Let m be -3*v\/4 + 3. Which is the second biggest value? (a) 0.4 (b) m (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5369 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 19. What is the remainder when 14 is divided by t(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 11383.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*j - 38*j = -66. What is the least common multiple of j and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (0 - 4 - 12 - -13) + -52?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 g, and 2 n when four letters picked without replacement from gnnnb?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1394 = 2*h - 4*a, -2840 = -3*h - h - 5*a. Is (h\/9)\/((-1)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -128, 2 in descending order.\nAnswer: 4, 2, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-21)\/1568*56\/(-24).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8)\/(-1) + -13 + (0 - 68\/(-8)). Which is the smallest value? (a) n (b) 2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -1.6. Let m = 1.6 + k. Let f = -2.3 - 1.7. Which is the closest to -1\/4? (a) f (b) -5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/5)\/((-66)\/55). Determine r so that -f*r**3 + 2\/3*r - 2\/3*r**2 + 2\/3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-444)\/(-36) - (3*12\/(-54) + 1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - -11. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1734453.96 - -1734541.960037. Let w = -88.2988 + 0.2988. Let s = w + i. What is s rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0*p\/(p\/p**(-1)*p*p))\/(p**(1\/6)*p**(2\/7)) assuming p is positive.\nAnswer: p**(-145\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82 and 1435?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 220659*t**5 - 96*t**2 - 10*t.\nAnswer: 13239540*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*t + 17*t + 20 = -4*l, 0 = -3*l + 3*t - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/170*-85 - -28?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17014 + 34026 - 17010 + 16*l.\nAnswer: 16*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mb when two letters picked without replacement from {f: 1, o: 2, p: 2, g: 2, m: 1, b: 4}?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*m + 4 = -5, 0 = 2*u - 3*m - 9. Let r = 3 + 4. Let c(t) = 2 - 5 + t + r - t**2. Calculate c(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40754 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1463*w - 22751 = 28454 for w.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/5*(-1410)\/(-752).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 7 - 8 - 1301*w + 1311*w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a + 638?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -5, -4, 32 in descending order.\nAnswer: 32, 16, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5715, -46, 6 in increasing order.\nAnswer: -46, 6, 5715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*8.\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 10*j + 4. Let d(s) = 5*s + 2. Suppose -b - t = 147, -b - 4*t = -6*b - 699. Let i = -132 - b. What is i*d(r) - 6*a(r)?\nAnswer: -5*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 11:17 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -7*p + 3*p + 20, -24 = 3*x - 3*p. Let q(k) = -k**3 - 4*k**2 + k + 5. Let i be q(x). Let h(g) = 2*g. Calculate h(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/5)\/((-104)\/(-520)). Solve -2*a + 11 = c + 2*c, 7 = j*a - 5*c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18111679 divided by 83.\nAnswer: -218213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -114, -170, -250, -354?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + (-2 - -1) - (-19 + -9 + 25)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g - 4*g = -966. Let v be ((-24)\/42)\/(150\/g - 5). Factor -18\/5*f + 54\/5 - 6\/5*f**2 + v*f**3.\nAnswer: 2*(f - 3)**2*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83 or 1552\/229?\nAnswer: 1552\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 2.3, 0.8722, 2\/5 in decreasing order.\nAnswer: 2.3, 0.8722, 2\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, -32, -124, -274, -488?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 4*s**2 + s**2)*(0 - 4*s**2 + 0).\nAnswer: -12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -145*1*(-24)\/12. What is the highest common divisor of u and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3)\/((-1)\/(-3)) - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 6. Suppose -2*y - y - 3*b = -534, g*y - 918 = 2*b. Suppose u - y = -u - 5*w, 5*u = 3*w + 393. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/35266 and -67\/449985.\nAnswer: 69297690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (17 + -47 + 16 - -4) - -78.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26248, 26374, 26532, 26728, 26968?\nAnswer: 27258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -58*n**2 + 1100*n + 35. Calculate h(19).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.04, 1405, -4, -6, -0.4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.350305798 to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:21 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*l**2 + 6 + 13*l + 0 + 5*l - 5 + 17*l to b + n*l + s*l**2 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*j = 140*j - 117 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2254355.\nAnswer: 5, 47, 53, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49.96 + 47. Let f = q - -3. Let i = 0.34 - f. What is the biggest value in i, 5, 3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 832\/6. Let i be (-8 - (-3 + 1)) + 289. Let s = d + i. What are the prime factors of s?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r - 4*i + 26, -12 = -3*i. Suppose a = -q + r, -q + 2*q + 5*a - 2 = 0. Find c such that 0*c**q - 3*c**2 + c**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97942230809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 0, -109286 in decreasing order.\nAnswer: 49, 0, -109286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes before 3:59 PM?\nAnswer: 11:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, -1, 83 in ascending order.\nAnswer: -1, 62, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8011?\nAnswer: 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*313976.11\nAnswer: 1255904.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*x - 13, 4*j - 13*x + 26 = -15*x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35495*w**3 + 144*w**2 - 35545*w**3 + 154*w**2 - 443*w**2 + 145*w**2.\nAnswer: -50*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 4865?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -254 + 773. What are the prime factors of h?\nAnswer: 3, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 666 - 665.5. What is the biggest value in f, -1, -0.5, -4\/17?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 9*z**3 + 3*z - 3. Suppose -t - t = 6. Let i(c) = -16 + 16*c + 271*c**3 - 80*c**3 - 82*c**3 - 65*c**3. What is t*i(j) + 16*p(j)?\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1 + 7*m**3 + 0*m**3 - m**2 + 2 + 0*m - 3*m**3 - 3*m. Let i be -29 + 26 - (-1 + 3\/3). Let u(s) = -s + 1. Determine i*u(f) + v(f).\nAnswer: 4*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-8))\/((-5)\/5)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -546989, -546554, -545823, -544790, -543449?\nAnswer: -541794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 10*y**2 + 28*y - 40. Let l be w(12). Suppose 5*a - 330 = -5*f, 0*f + l = 4*f. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 54*n**3 + 183*n**2 + 216*n + 84.\nAnswer: 3*(n + 1)**2*(n + 2)*(n + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1113 + -11?\nAnswer: -1130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 - 12. Let i be (r + -1)\/(9\/(-24)). 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: What is the next term in 92473, 184948, 277423, 369898?\nAnswer: 462373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s*s**(2\/5)*s)\/s)*s**(-1\/15))\/(s*s\/(s*s**(-1\/3)\/s)*s)**(3\/28) assuming s is positive.\nAnswer: s**(-383\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, 1 in descending order.\nAnswer: 3, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(18*c - 8*c + 27*c)*(469 - 469 + 39*c) as m + q*c + w*c**2 and give w.\nAnswer: -2886","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/7 in 12, -2.5, 2?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -293 = -381*g + 410*g - 902 for g.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 277545509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 2:12 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55.2 + 36.9. Let f = w + 18. What is the nearest to 1\/4 in f, -4\/3, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 61*x - 2 - 2\/35*x**5 - 2\/7*x**2 + 3\/28*x**4 - 1\/42*x**6 + 4\/21*x**3. Suppose r(o) = 0. What is o?\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 101352\/(-20) + 0 + -7 + 33\/5. Is -5070 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a meter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1931?\nAnswer: 3\/1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1142007 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8570202.86000035 - -8570221.86. Let q = 19 - g. What is q rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -3*b**3 + 5*b**2 + 5. Let y = -5 - 0. Let z(o) be the third derivative of -o**6\/60 + o**5\/20 + o**3\/2 - o**2 + 2244. Calculate y*z(q) + 3*g(q).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1404 + 2806. What is the lowest common multiple of n and 2?\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 32137 + -32001.17. What is p rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -98*w + 210. What are the prime factors of i(-13)?\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4637634.7494 - 4.4.\nAnswer: -4637639.1494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1436, -2915, -4456, -6077, -7796, -9631, -11600, -13721?\n\"Answer: -3*g**3 - 13*g**2 - 1419*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**3 + 37*o**2 + 20*o - 8. Calculate f(19).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 43. Let m be u(-52). Is (-132528)\/(-18) + m\/27 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801255817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 488*r**2 + 326*r**2.\nAnswer: 814*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -55, -115, -175, -235?\n\"Answer: -60*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 4 = -4*x - 2, a + 2 = 0. Suppose -2*d = x*d - 8. Which is smaller: 3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 21*r**2 - 42*r**2 - 9*r**2 + 117*r**2 + 3 as f*r**3 + p + g*r**2 + c*r and give g.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(24\/(-9) + 3). Suppose q - 76 + m = -4*y, -2*q + 138 = 4*y. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) -2 (c) 1 (d) 2\/3 (e) 225\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33\/1999 + 315611\/13993. Solve -40\/7 + 184\/7*p + 2*p**3 - r*p**2 = 0 for p.\nAnswer: 2\/7, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 0)*(9 - 5 + 7)*(3*y + 6*y + 9*y).\nAnswer: -198*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 1 = 16. Put 3, -16, m in ascending order.\nAnswer: -16, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1064 divided by 38\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -m**4 - 2305839*m - 51301998 wrt m?\nAnswer: -4*m**3 - 2305839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*r + 17541 = -2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 + -7*459\/189)\/((-3)\/(-11))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**4 - 25*i**3\/2 - 73*i**2\/2 - 15*i = 0. What is i?\nAnswer: -2, -1\/2, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -610 + 610 + 275*y.\nAnswer: 275*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3)\/d**(-11))\/(d\/(d**(1\/9)\/d*d)*d*d**(-8)\/d))**(-3) assuming d is positive.\nAnswer: d**(-136\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 48*s + 10*s + 349 - 85*s wrt s.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*c = 67, 4*c + 12 + 68 = 4*b. What is the remainder when 102 is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 5*x - 4*r, 17*r = x + 18*r - 20. Solve -2*w - x = -5*o, -w - 3 = -2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 21, 59, 133, 255?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 3*i**2 + i**3 - i**2 + 2*i - 5*i**2. Let q be t(2). Suppose -b = -q*b - 2. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c + 4*c - 2*c + (7 - 4 + 10)*(c - c + c) - c - c + 0*c - 15 + 15 - 2*c to x*c + p and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 1.347169?\nAnswer: 1.347169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4833846 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -8. Let k be (-3)\/1*2\/l. Let n = 2 - -2. Solve -3 = -k*t, -n*z + 3*t - 11 = -2*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 20 = 0, 13*d - 18*d = -5*g + 50 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 372369 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 90138?\nAnswer: 450690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 46006 = -10*l + 3*m, 3*m + 137994 = 3*l. Round l to the nearest one thousand.\nAnswer: 46000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12217*z + 580 + 639 - 1219)*(1 - 1 + 2*z) to l*z**2 + o + h*z and give l.\nAnswer: 24434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.09, 16, -84.6, -2, 4?\nAnswer: -84.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 59\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -17*v**4\/24 + 1127*v**2. Let d(i) = 9*i. Give d(x(s)).\nAnswer: -153*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 9, 2\/5, 34\/25, -5.038?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q. Let z(d) = 24*d**2 + 7. Suppose -21*l = -25*l + 12. Let y(g) = -12*g**2 - 3. Let r(a) = l*z(a) + 7*y(a). Determine r(n(u)).\nAnswer: -588*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 79763179 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 37?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**4 - 1414*g**2 + 91*g - 30.\nAnswer: -12*g**2 - 2828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 10, 1, -356, -145 in descending order.\nAnswer: 10, 9, 1, -145, -356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 1 - 4. Let f(i) = 4 + 6*i + 2 - 7 - i. What are the prime factors of f(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.04131?\nAnswer: -0.04131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/20 and 51\/44?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4666 (base 8) in base 14?\nAnswer: -c98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4783.\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -1. Let z(u) = -u**2 + 9000. Let c be z(a). 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: Let d(x) = -429*x**3 - x**2 + 13*x - 16. Let j(l) = 1288*l**3 + 3*l**2 - 36*l + 44. Determine -11*d(z) - 4*j(z).\nAnswer: -433*z**3 - z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 3:03 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1092861302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 10 = 8*d, c + 4*d - 11 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 0.0122?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 1911*r**2 - 303369*r - 305283.\nAnswer: -3*(r - 319)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3400*a - 6198206. Give x(-1823).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -233 in 1\/8, 294, 2.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5160221558 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m - 25. What is v(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n - 8. Let f(j) = -5*j + 3. Calculate f(l(p)).\nAnswer: -70*p + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 366*a**2*t**5 - 29*a**2*t - 5*t wrt t?\nAnswer: 7320*a**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**3\/6 - d. Let v(w) = -37*w + 135*w - 25*w - 32*w - 14*w. What is c(v(t))?\nAnswer: 27*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233521262.\nAnswer: 2, 13, 1801, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*f**4 - 843*f**2 - 2*f + 3521820.\nAnswer: -8*f**3 - 1686*f - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 11) to base 15\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1485 and 270?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than 221.322?\nAnswer: 224.322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - (-10)\/(-4). Is (-353 + a)*4\/(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 74005617 to the nearest integer?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*h = 2*h - 7257. Which is greater: h or 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, h: 5, u: 2}. Give prob of picking 4 h.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2403705 (base 9) to base 7.\nAnswer: -14031305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5100580231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (0 - 6) + 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 - 3*x + 3. Let r(o) = -9*o**2 + 7*o - 7. Let d be 3\/((-4)\/(16\/(-3))). Let i(h) = d*r(h) + 9*j(h). Determine i(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 209997\/95984 + -2\/5999. Let r = d + -137\/48. What is the biggest value in r, -2\/15, -1\/21?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + ((-7308)\/45)\/14)\/((-105)\/50)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8970830455.123 + -2\nAnswer: -8970830457.123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*u - 36*u + 48*u = 270. Let o be 1\/(-2)*(-1)\/(-4). Which is the nearest to 0? (a) -2.3 (b) u (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 286091\/(-531898) + (-30)\/(-1860)\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 6:15 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -231 - -319. Suppose -10*j = -12 - x. What is the smallest common multiple of 162 and j?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from hsvvhhqshuvvuhqhqv.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2375\/(-5700)*(-16)\/(-130)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 9) to base 14.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-131)\/(-5) - 2\/10. Let s(h) = h + 8. Let f be s(-5). Let a = o - f. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 15*m**3 - 2*m**2 + 2*m + 3. Let c be k(-2). Suppose o = -99 + 10. Let h = o - c. What is the highest common divisor of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5855 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 17*x**2 - 120*x + 37. Let o be m(7). Find r such that 50\/3*r - 2\/3*r**4 - o*r**2 + 500\/3 - 26\/3*r**3 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*g - g. Let t = 9 - 5. Solve -2*s**g + 2*s + 2*s**2 + 4 - 2*s**t - 4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -2, -1591 in descending order.\nAnswer: 36, -2, -1591","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (99*v + 94*v + 72*v + 19*v)*(-2*v - 2*v + 6*v).\nAnswer: 568*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a + 21. What is i(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1) + 23*1. Let p = b + -41. Let z(c) = c**3 + 6*c. Let l(v) = -4*v**3 + 155525882*v**2 - 17*v - 155525882*v**2 + v**3. What is p*z(y) - 6*l(y)?\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 73 - 98. Let c(n) be the first derivative of n**3\/3 - 3*n**2\/2 - 7*n + 5. What is c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*b - 2*b**2 - 20 + 2185 - 27*b - 16*b as f + n*b**2 + z*b and give f.\nAnswer: 2165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 56 = -5*u. Let t(y) = 3*y**2 + y - 1. Let v be t(1). Suppose v*l - 132 - u = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**2 + 35*x - 1. Let d be m(22). Suppose -14*w - d = -19*w. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.76 and -8958940921.\nAnswer: -8958940921.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 14*h**2 - 63*h + 341. Does 26 divide d(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - 208?\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 27*h - 36*h - 1 + 1. Let w(d) = -4*d. Give w(k(q)).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 - 1.2. Let r = 73 + -136. Let p = r - -63.07. Is q greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2025.999995417 - -2026. Round b to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 1\/2, -1429, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - 10 - (29 - (-25 - -182))?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1928, -3828, -5726, -7622, -9516?\nAnswer: -11408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 33\/(-4)*48640\/869440\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-388)\/(-52) + (-1701)\/243?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14092 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11643149?\nAnswer: 7, 131, 12697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -3*z + 18. Let p be n(5). Suppose -3*x + 175 = -5*g, 5*x - 64 = 4*x - 4*g. Suppose -4 = -2*r, -p*d + 0*r - 3*r + x = 0. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7904*z + 7899*z + 265*z**2 + 47*z**2 in the form l*z + q + m*z**2 and give m.\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**4 - x**3 + x**2 - x - 2. Let o(p) = -3*p**4 + 5*p**3 - 5*p**2 + 3*p + 8. Let n(h) = -4*k(h) - o(h). Factor n(a).\nAnswer: -a*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1191 + -663. What is the highest common divisor of m and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 448 and 1148?\nAnswer: 18368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g**2 - 13*g**2 - 76*g**3 - 25*g**2 + 53*g**2.\nAnswer: -76*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.067743 to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*z + 19 = 5*t, -3*t + z + 32 = 0. Suppose 2*d - t*d = 14. Put 0, d, 10 in descending order.\nAnswer: 10, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 s when three letters picked without replacement from bnbnbbssbss.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 33*p - 5. Let k(c) = 1007*c - 152. Let y(n) = -5*k(n) + 152*v(n). Let g(x) = 7*x**2. Calculate y(g(a)).\nAnswer: -133*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 126178 = 4*n, 4*q - 2*q = -2*n + 63084. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 2. Let z be m(-7). Let w = -6 - z. Let q be (-4 - -1) + w - -2600. What is q rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67080 divided by 195\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 194243?\nAnswer: 7, 27749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7283320 is divided by 248.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2680 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 5. Let d be 1 - 0 - (0 - h). Let z(r) = r**2 - r. What is the units digit of z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*12\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -184 - -1205?\nAnswer: 1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 850.5 - -387.6. What is x rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196014 divided by 91\nAnswer: -2154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -183, -10, 165, 342, 521?\n\"Answer: z**2 + 170*z - 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from cooqooooqcoooooqoo.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + k = 3*k - 64, 3*k = -f + 5. Solve -f*b = -13*b + 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3096, 2.3, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77*y = -98*y + 63 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37 - 5*r**3 + 37 + (2 - r - 2)*(-r**2 - 6*r**2 + 3*r**2) - 9*r**3 + 33*r**3 + 4*r**3 to the form k*r**2 + i*r + j + y*r**3 and give y.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 638486?\nAnswer: 2, 17, 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-12) - 2590\/168*-4)*2. What is the greatest common factor of o and 2624?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**4 + 150*t**3 + 1035*t**2 + 1620*t = 0.\nAnswer: -3, 0, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -133 - (-233 + (164 - 70))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 570, 625, 656, 651, 598, 485?\nAnswer: 300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 180 a factor of 213870815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**4\/3 + 1073*y**3 - 54514*y**2\/3 + 85408*y - 204928\/3 = 0.\nAnswer: 1, 8, 3202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -1646*i + 54333. Calculate n(33).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 16. What is the greatest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 12 (b) 4 (c) -2\/11 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 48832.3 to the nearest one thousand.\nAnswer: 49000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -21221130?\nAnswer: 21221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23022919 and 11030.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((120\/(-112))\/15)\/((-11)\/(-33))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/(-6)*8\/(-14). Let g = -6 - -9. Let s = 0.05 - 0.35. What is the nearest to 1\/2 in l, g, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 78 + -64. What is the second derivative of -23*v - o*v + 32*v**2 - 4*v**2 + 3*v**2 wrt v?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 6*j**3 - 2*j**2 + 27*j. Let h(s) = -5*s**3 + 2*s**2 - 26*s. Calculate -3*d(t) - 4*h(t).\nAnswer: 2*t**3 - 2*t**2 + 23*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 285 + -278. Suppose -5*i = 4*u + 15 + 5, 3*u = -5*i - 20. What is the closest to 1 in h, 2\/3, i?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 5*s**2 + 49*s + 34. What is a(-14)?\nAnswer: 328","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2537*b + 1265*b + 1881*b**2 + 1272*b.\nAnswer: 1881*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -436 (base 9) to base 4\nAnswer: -11211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3*h + 2*h)*(-2*h + 4*h - h)*(-10*h - 8*h - 13*h).\nAnswer: 62*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -18.02. Let d = f - 0.18. Suppose -3*k + 3 = 3*p, 3*k + 1 = -2*k - 3*p. Which is the second smallest value? (a) -4\/7 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**3 - 2*d - 1. Let g(s) = 10*s - 17. Let h be g(-11). Let u = -21 + -107. Let q = u - h. Give l(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30866, 30712, 30496, 30218, 29878?\nAnswer: 29476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -636461 and -306037.\nAnswer: -942498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49298741 or -49298742?\nAnswer: -49298742","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 115, 146, 197, 274, 383, 530, 721?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4508*u**4 - 4757*u**3 - 544*u**2 - 95551*u?\nAnswer: 108192*u - 28542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 18 - 2. Let r(q) = -q**3 + 1. Let o(v) = 2*v**3 + 7*v - 11. Let m(k) = u*r(k) + o(k). Let z(x) = -x**3 + 3*x - 3. What is 3*m(b) - 7*z(b)?\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 271607 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oyi when three letters picked without replacement from {o: 1, q: 1, r: 1, i: 1, k: 2, y: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -110130322?\nAnswer: 110130330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2044612*v**3 - 1801750?\nAnswer: -6133836*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*t - 18, -t + 10 = -3*r - 2*t. Let o = r + 4. Find the third derivative of -2*k**2 + 4*k**2 + o*k**5 - k**5 wrt k.\nAnswer: 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/11 and (-159)\/72 - 4\/6.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6781078 to the power of 1\/2, to the nearest integer?\nAnswer: 2604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 4*s + 0*s + (-3 + 0 + 2)*(s - 2*s + 2*s) + 5*s - 3*s - 3*s - 91*s + 92*s - 40*s as r*s + w and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2520 and 1038960?\nAnswer: 1036440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7596.07 tonnes in kilograms?\nAnswer: 7596070","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 606260 take away -0.18?\nAnswer: 606260.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50093.\nAnswer: 50093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - (7 + (-5 - 5) - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - 5\/(-1)) + -3. Let p be 92\/2 + (-8)\/x. Let y = -2 - -6. Calculate the greatest common divisor of y and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*q - 26 = 1, -c + q + 2 = 0. Let b = c - 5. Suppose 71*f - 7 = 277. Solve 3*y = -f*a + y, -5*y + 20 = b for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 29 = u, q - 58 = -5*u - 53. What is the remainder when 234 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 459*f**3*o**2 - 734*f**3*o - 2*f*o**2 - 2*o wrt o?\nAnswer: 918*f**3 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18190160 divided by 18190160.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 48 = 3*w, 0 = -w + 4*q - 3*q + 26. Suppose -d = 6*d + w. What is the least common multiple of (12\/d)\/(4\/(-5)) and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (35816\/3388)\/((-16)\/(-7) - 2)\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s + 14 = -14. Solve s*f + 0*f = -12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -394 and 12237882753.\nAnswer: 12237882359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112212 is divided by 2671.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prrpdddrrdddd. What is prob of sequence dpd?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 160*p + 24 - 315*p - 21 - 768*p.\nAnswer: -1243*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16644?\nAnswer: 2, 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -b85 - -9?\nAnswer: -b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/(-54))\/(-1*(-2)\/(-3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by -246711.\nAnswer: -4\/82237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 368\/36 + 4\/(-18). Let g be (-18)\/(-14) - f\/35. What is the common denominator of g + 0 + 174\/40 and -121\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.162 at least as big as 1131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2748 - o**3 + 1388 + 1391.\nAnswer: -o**3 + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*w. Suppose -4*s - 5*z = -1, -3*z = 2*s + 17 - 16. What is the third derivative of -11*n**3 - s*n**3 - 21*n - 15*n**w + 21*n wrt n?\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 - 101111?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-15))\/(4\/1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656735 (base 9) to base 5.\nAnswer: 100021242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*q**3 + 75976*q**2 + 3579348*q + 6854760 = 0. Calculate q.\nAnswer: -45, -2, 19041","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 20, 11, -10, -49, -112, -205, -334?\n\"Answer: -o**3 - 2*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bd - -7?\nAnswer: -b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -73.7538 and -6.2?\nAnswer: 457.27356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 4)*(0 + 1 + 1)*(4 - 4 - 3*a) in the form t + c*a and give c.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 468920.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + 1 + -2 + -3. Solve k = -h*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o. Let k(f) be the second derivative of -f**5\/40 - 11*f**3\/6 + 5*f. Let a(u) be the second derivative of k(u). Give a(m(n)).\nAnswer: -9*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-6)*(-3)\/(-6)*-9. List the prime factors of (-2792)\/(-20) + v + (-8)\/(-20).\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 44*x**2 - 7*x + 50. Determine w(22).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44795 or -179175\/4?\nAnswer: -179175\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 7*r = -40. Let i be -2*1*68\/(-8). Suppose -4*k + 3*b = -i, 5*k + b = -22 + 67. What is the least common multiple of r and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -16\/5, -0.1, 218, 5, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -218 + 357. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/5 in 0.5, 2\/3, 0.4, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2341360 by 117068.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 62 - 57 = -4*k, 0 = 5*x - 3*k - 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28971)\/(-10179) + 2\/(-26)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrdb when four letters picked without replacement from rdbrrrrrrbbbrr.\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 0.5, 67, -34\/165, -7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((0 + sqrt(1372) - (sqrt(252)*-2 + sqrt(28)))*-4)**2.\nAnswer: 64512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 269771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.864 - 1.75. What is the smallest value in 3, 0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -57, 7, -0.25, -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 3*s - 67 = 0, 3539 - 3557 = m - 4*s for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((112\/(-21))\/(-4) - 2)*(-189)\/(-126)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crxrcwfcccrcc. Give prob of picking 1 r, 1 x, and 2 c.\nAnswer: 63\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 271176?\nAnswer: 813528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 38*n - 35 = 25*n. Which is smaller: n or -81\/31?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 a when two letters picked without replacement from hamymaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -10519787.69 rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f. Let d = -102 + 108. Let a be w(d). What is the highest common divisor of a and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(12\/(-48)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lwllsssllslssmsswsl. What is prob of picking 1 m and 2 w?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 3*o**2 + 4*o - 3. Calculate f(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 + 6*i + 6. Let z be t(7). Let f(o) = -311*o**3 + 0*o - 2*o - 3289*o**2 + 3287*o**2. Is f(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + -db8?\nAnswer: -db8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 7*a - 7*a - 1 + 14*a**2.\nAnswer: 14*a**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 49497*n. Let b(g) = 8*g. Give h(b(r)).\nAnswer: 395976*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + s + s)*((-1684*s + 3183*s - 1596*s)*(-3 - 1 + 2) + 4*s - s + 0*s) + (-1 - 1 + 3)*(0*s**2 - 6*s**2 + 4*s**2).\nAnswer: -199*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57619 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d - 32*d + 8*d)*(-7 + 4 - 3 + 3 - 4 - 1 + (4 + 0 - 1)*(3 - 3 + 1))*((4 - 1 - 1)*(0 + 0 - 2) + 1 + 2 - 4).\nAnswer: -775*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 6*k + 14. Let b be l(7). Suppose 0 = n - 4*o - 13 - 7, 0 = 4*n - 4*o - b. Put 3, n, 4 in descending order.\nAnswer: n, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 times -8615597?\nAnswer: 9477156.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34730 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -18*o**2 + 1. Let f(c) = 2940*c**2 + c - 6. What is 6*d(n) + f(n)?\nAnswer: 2832*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 + 3.98. Let w(n) = 4*n**2 + 225*n - 3. Let j be w(0). Which is the second smallest value? (a) h (b) -2\/11 (c) -5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 621.15*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-3))\/(4\/12). Let y(q) = 6*q**g + 24*q - 24*q. What is the least common multiple of y(-1) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x - 2 = 5*j, -3*j - 5*x = 10. Let r(w) = -w**3 + 2*w**2 + 2*w - 1. Let h = 8 - 6. Let q be r(h). Solve -q*v - 9 = -j*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 32646192 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*r + 279 = 0, 2*h + 0*r = 3*r + 186. What are the prime factors of h?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hchahhhcc?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 + 6*x - 6. Let s be y(4). Suppose 6 = 2*q - 5*q, -s*q - 29 = -5*o. Solve 9*t - 4*t + 5 = -5*r, -r + 3 = o*t for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 508 = 2*c. Suppose 8 = -5*a - c. Let g = -14 - a. What is the remainder when 49 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 226\/(-28) - 39\/(-26). Which is greater: i or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -w + 56 + 95, -2*w - 2*o = -272. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5.7. What is the nearest to -0.1 in -3\/4, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-385)\/14)\/11 + 3367539\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 - 109 = -35*f. Let v = 11 + -9. Let u be v\/5 - 3\/(-15). What is the nearest to 0 in -1\/4, f, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6214\/9 or -691?\nAnswer: -691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -32*u + 394. Calculate k(12).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102343211 (base 7) to base 11.\nAnswer: 346aa06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88 - 300. Let z = j - -230. Let d(b) = b**3 + 6*b**2 - 5*b - 3. Calculate the least common multiple of d(-6) and z.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = y - 301, 5*y + 3*n - 108 = 1397. Solve 0 = -9*d + y - 274 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccmtctt. What is prob of sequence ctcm?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -26 - 24 - ((-1 - 4) + 33 - 0)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2897 + 2924. Which is bigger: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -4*b**2. Let k(r) = r**2 - 2*r. Let n be k(2). Suppose -q + n - 6 = 2*j, -4*q - 12 = 5*j. Let x(d) = q*d + 0 + 0. Calculate x(m(g)).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 3 and 255904.\nAnswer: 255907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1481\/8 - 185. Let t = 41 + -27. What is the nearest to t in 4, -0.5, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, 187, 438, 789, 1240, 1791, 2442?\nAnswer: 3193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2*a**3 + 13*a**2 + 19*a + 18. Let r(m) = -3*m**3 + 28*m**2 + 38*m + 37. Let f(k) = 3*r(k) - 5*v(k). Give f(-18).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/7, -1\/3, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(156) - (2*sqrt(156) + sqrt(156))))\/(sqrt(300) + sqrt(300)*2).\nAnswer: -2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/((2\/3)\/(-2)). Let k(w) = w**3 - 3*w**2 - 2*w. Give k(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2208 = 91529*n - 91598*n for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9 and 1953.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/520 and -59\/53456?\nAnswer: 267280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/66 and 17\/5352.\nAnswer: 58872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -55050 less than or equal to -12936888\/235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 960.6662 millennia in centuries?\nAnswer: 9606.662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 185 - 271. Let j = x + 252. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.51121 millennia in centuries?\nAnswer: 845.1121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (131 - -53 - 161) + -115 + 1.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 5*u**2 + 228*u - 157. Calculate z(-49).\nAnswer: 676","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 89*v**2 + 469*v + 107. Calculate i(94).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q. Let n be z(5). Let j = n - 3. Let i = 12 - 2. Calculate the greatest common factor of j and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -67.4588 from 2723.\nAnswer: 2790.4588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/474 and -65\/7044.\nAnswer: 556476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 28965184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + (-1 + sqrt(448))*-3 - ((1 + sqrt(448))*1 - sqrt(448) - (sqrt(448) + 2 + (sqrt(448)*2 - sqrt(448)) + sqrt(448)))))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1385 - -1)\/14 - 7. What is the highest common factor of m and 736?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*i**3 - 2114 + 2114.\nAnswer: 35*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61\/396581 + 1619089045\/1595445363. Let j be 2 + 1828\/(-1788) + -1. Let q = j - v. Find the common denominator of q and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8480*u**2 + 2384*u + 2 wrt u?\nAnswer: 16960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 - 49*k - 13. Give x(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -269046 - -269214.519. Let z = -2.899 + h. Let w = 167 - z. Round w to 1 dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*a + 1. Suppose a = -20*w + 19*w. Sort w, -7, 5 in decreasing order.\nAnswer: 5, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000012001382 rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4 = d. Let x = -129\/4 + 32. Let l = x + 2. Is l greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/21804 and -31\/5?\nAnswer: 109020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 + -10221?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3 + 3)*-1 + (-1 - -674). Suppose z = -23*f + 24*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecueeoooqeuououo. Give prob of picking 1 c and 1 e.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/((-600)\/16))\/(112\/120)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -41 - ((35 + 0 - 13) + -16 + 7)\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13326608 is divided by 13247.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 3:25 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 35. What is the highest common divisor of 189 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 81\/22?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*p**2 + 9 + 11*p**2 - 20*p + p**2 as k + o*p + t*p**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 242b?\nAnswer: 2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 5 = -3*f, f = 3*i - 9 + 14. Let v = 41127\/11 + -3735. Which is bigger: v or i?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2244 - 4?\nAnswer: -2248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2783384\/5 or -556678?\nAnswer: -556678","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36106169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -1. Suppose 4*r + 54 = -h + 4*h, -t*r = -15. Suppose 0*o - 8 = -o. Calculate the remainder when h is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/12*(-2)\/4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 109*u**4 + 1161*u**2 - 252*u**4 + 167*u**4 + 106*u**5 wrt u.\nAnswer: 6360*u**2 + 576*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48 times -11028?\nAnswer: -5293.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 15*o**2 + 14*o + 4. Let q be j(14). Let k be -1*1 + (q - 6 - -23). Solve i = 5*i - k for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 6*w - 2*t + 10, 0 = -4*t + 12. Let r(j) = -13*j**2 + 2*j - 1. Determine r(w).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*o + 11318 = 42977. Let l = -132 - o. Is 52 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 22, 4, 0.4, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10705 - 10701. Suppose x + 4 = 3*g, -3*x - 8 = -5*g - 2*x. Solve k*m - 6 = g for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 + 186\/18)\/(28\/24). Solve -h*z + 12 = -2*m, m + z = -0*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-50)\/35)\/((-8)\/42). Let l(p) be the first derivative of -5\/3*p**3 - 10*p + 13 + a*p**2. Factor l(b).\nAnswer: -5*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**3 - 6*s**2 + 7*s - 5. Let j be a(5). Let c(v) = -10*v**2 + 10. Let b(r) = -7*r**2 + 7. Let k(z) = j*c(z) - 7*b(z). What is f in k(f) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311348 is divided by 2354?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 45469*r*w**3 - 382*r - 7*w**2 + 3 wrt w?\nAnswer: 272814*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.5, 0.054, -0.1, 24 in decreasing order.\nAnswer: 24, 0.5, 0.054, 0, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -p**6\/120 + p**4\/24 + p**3\/3 - p**2 - 3. Let i(c) be the second derivative of f(c). Give i(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + x - 295, p = -3*x + 6*x + 43. What is the least common multiple of p and 12?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 626 is divided by 32?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19693 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((k\/(k\/(k*k*k\/(((k*(k**(-9)\/k)\/k)\/k)\/k))*k))\/k)*(k*k*k*k**(-9\/5)*k*k)\/k assuming k is positive.\nAnswer: k**(-49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 288*d**2 + 2*d - 3677*d**4 - 3*d - 3666*d**4 + 7346*d**4 - 1 to the form p*d**3 + t*d + w*d**2 + x + y*d**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -10*q - 936. Let u = 94 + q. What is the smallest common multiple of 30 and u?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 17. Which is greater: t or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15.6 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28737?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -51?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**3 - 29*g**2 - 37*g + 29. Give v(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert c17 (base 15) to base 10.\nAnswer: 2722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h - 1. Let r(l) = 6*l - 2. Let j(z) = 4*o(z) - 3*r(z). Let s be (-6)\/(-2)*(-40)\/6. Let d = s + 14. Determine j(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -644 + 66?\nAnswer: -578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 40*x + 145. Determine g(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*d - g + 142, 5110 = -4*d - g + 5120 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiffxiif. What is prob of picking 3 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d - 5*s + 158, 4*d - 273 = 5*s. Suppose p = -5*r + d, -3*r + p - 4 = -52. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63293296?\nAnswer: 2, 11, 359621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3373 or 3392?\nAnswer: 3373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t**2 - 18*t + 5. Determine n(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sscscscsscsc. Give prob of sequence sccs.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + 4 - 0\/(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 33*s**3 - s**2 - 21*s - 28. Let z be d(4). What is the highest common divisor of z and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**4 - 180*p**3 + 3*p**2 + 180*p.\nAnswer: -3*p*(p - 1)*(p + 1)*(p + 60)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuugpva. Give prob of sequence ap.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/219603 or -1?\nAnswer: -1\/219603","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-9)*12\/(-8). Is 1\/7 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33865 from 36.26833.\nAnswer: 33901.26833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -57*v**2 - 6*v + 11. Determine s(2).\nAnswer: -229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6248, -12500, -18752, -25004?\n\"Answer: -6252*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -316 - -323. Let x(u) = -u**2 + 4*u + 14. Give x(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-23856)\/(-2002) - 12)\/(40\/(-220))\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/15 of a century in months?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 55 times 0.21\nAnswer: 11.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*b - 76*b = 2265. Let p = 666 + b. List the prime factors of p.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and 2288258.\nAnswer: 2288258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 5, c: 15}. What is prob of picking 1 a and 3 c?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3143*t - 250. Let s be v(-5). Let q = s - -34858. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150827 (base 15) to base 11\nAnswer: -6330a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - a + 0 - 6*a**4 - 4 - 2*a**2 + 5*a**4 as o*a**3 + n + z*a**2 + k*a**4 + y*a and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/968 and 273\/(-88)*(-52)\/(-36) + 62 + -57?\nAnswer: 2904","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -167*u + 1839. Let s be l(11). Put -5, 1, s, -10 in ascending order.\nAnswer: -10, -5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t - 16 = -7*t. Let h(z) be the third derivative of -z**6\/60 - z**5\/20 - z**4\/24 + 2*z**2. Give h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 r when three letters picked without replacement from {r: 3, q: 1, w: 1, u: 6, i: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107915 is divided by 323.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 56\/16*(-1335)\/(-2492)?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 21, 40, 77, 138, 229, 356, 525?\n\"Answer: g**3 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -205 + 214. Calculate the remainder when 96 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7024620?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c - 12 = -17*c. Calculate the highest common divisor of 3 and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010101011110011 - -10001?\nAnswer: -11010101011100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2, -1\/2, 38, -8, 4\/5?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1054)\/(-4)*(-2208)\/(-18768)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 663?\nAnswer: -5\/663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -3, 4, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 25 = -3*x - 9, -3*x = -2*a - 14. Let j be 4*((-13)\/(-2) - x). Solve 3*z + 8 = -3*f - j, 4*f + 20 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -4*p + 5 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.27 - -2.2. Let x = 15.07 + h. Let n = -169\/2 - -83. What is the second biggest value in x, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 15*c**2 - 12*c - 2. Let d be i(-14). List the prime factors of ((-126)\/15)\/(9\/d).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpqm when four letters picked without replacement from {q: 2, m: 12, p: 3}?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 342*m*p**4 + 21*m*p**2 - 2*m*p + 2*m - 277*p**6 + 253*p**2 + p wrt p.\nAnswer: 8208*m*p - 33240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 - (-50)\/(-15). Let a(l) = l. Calculate a(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express h**3 + h**3 - h**3 - 2*h**3 - 4 in the form y*h**3 + p + q*h + z*h**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3 + 16*g**2 + 22*g - 36.\nAnswer: -2*(g - 9)*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -1\/3*t**3 - t**2 + 1 + 0*t. Let m(l) be the second derivative of l**4\/12 - 7*l**2\/2 + l. Calculate -4*m(z) + 14*v(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 185*q**2 - 182*q**2 + 3.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18 or -103\/6?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 984.6 - 980. Let k = 0.11 - -2.49. Let d = m - k. Which is the closest to d? (a) -0.4 (b) -0.1 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -w**5\/60 - 19*w**4\/3 - 307*w**3\/6 + 122*w**2. What is the first derivative of v(m) wrt m?\nAnswer: -2*m - 152","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 22 = 4*t. Find y, given that -10*y - 4*y**3 + 9*y + t*y = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, -50, 3, 21101, -2 in descending order.\nAnswer: 21101, 12, 3, -2, -5, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1107*t - 247 = -1120*t. Solve 7 = t*u - 88 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykky when four letters picked without replacement from {k: 3, y: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 + 2. Let a = 11 - 13. Give n(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -187\/6027300 and -143\/4219110.\nAnswer: 42191100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -i**6\/120 + i**4\/4 - 13*i**3\/6 + 4*i**2. What are the prime factors of k(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 138.78 + -2.78. Let a = f - 135.99999893. What is a rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y + 6. Suppose -2*z = -z + y. Let t(w) = -4*w - 5. Let o(p) = -4*p - 4. Let d(q) = 5*q + 5. Let k(l) = 3*d(l) + 4*o(l). What is z*k(c) + t(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7720916 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15391432 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 1 = -g - 6, -22*g + 3*b + 294 = 454 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 74, 7 in descending order.\nAnswer: 74, 7, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 + -1 - 3)*-4. Suppose -3*o - 10 = -1, t*l + 545 = -3*o. Let h = 451 + l. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-6 + 1 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.259 + 0.141. Let k = 2 - 2.2. Which is the closest to -1? (a) 0.3 (b) o (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.7 - -2. Let a = x - -0.2. Let i = -0.5044 + a. What is i rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/27)\/(390\/(-387) + 1). Let r = -24 - p. Suppose g = -3*f + 2*f + 20, 2*g = 2. What is the highest common factor of f and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from plgpmzh. Give prob of picking 1 z, 1 l, and 1 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-4))\/9*(-12)\/(-9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p**25*p)\/p)\/p*p)\/p*p)\/p**(-3\/10))\/((p*(p\/p**(2\/15))\/p)\/p)**(-14) assuming p is positive.\nAnswer: p**(703\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 + 49*a - 1704. Determine y(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2255 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 5:25 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 15.82?\nAnswer: 16.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -61101 (base 8) to base 3\nAnswer: -1021111121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 19 - 1)*(18\/(-12) + 2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1325541\/(-2212))\/(-1 + (-10)\/(-16))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the third derivative of -q**4\/24 + q**3\/2 - 3*q**2. Suppose -2*l - 6 + 26 = 0. Calculate the lowest common multiple of l and p(-9).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -6*a - 2*a**2 - 8*a**3 - a**3 + 4*a + a. Let s be u(-2). What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -752*k**3 + 6*k + 1. Let g(h) = h**3 - 2*h. Give 4*g(j) + v(j).\nAnswer: -748*j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 5*o - 27. Solve -g = 4*v + 12, -2*v - 20 = o*g + g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6468497*d**3*x**3 - 3*d**2*x**2 + 410997*d*x**3 wrt d.\nAnswer: 38810982*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, p: 1, i: 2, t: 7, d: 4}. What is prob of sequence di?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 7*n - 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 387 a factor of 8586701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - 10000100111000110111001?\nAnswer: -10000100111000110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11220012122 + 2110011?\nAnswer: -11210202111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-1)*f*f)**(-2\/57)*f\/(f*f**4)*f*f**16 assuming f is positive.\nAnswer: f**(737\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - m = 657, 9*p - 14*p = 5*m - 1665. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03891841362 to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201121210220 (base 3) to base 9.\nAnswer: -1647726","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3\/3 + 10*s - 13. Let k be f(0). Solve 2*x - 12 = -2*v, 3*v - 2*x = 3*x + k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 119\/(31535\/106)*(-3)\/21\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - 0)*(-3611)\/4. Let k = -908 - r. Let w = 8070 - 96721\/12. What is the common denominator of k and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2 + 8816*j + 9715232.\nAnswer: 2*(j + 2204)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:18 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 11*m**2 + 241*m + 1415. Give x(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 16. Solve -u = 5*f - 2*q, -3*q + 4 = 4*f - 9*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*a + 426*a = -398*a + 4770 for a.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let f(j) = 11*j - 10*j - 321 + 322. Let b(m) = -m**3 - 4*m - 2. Suppose 0 = -3*n + 2*n + 3. Give n*f(l) + o*b(l).\nAnswer: -l**3 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 1)*(-12*a + 27*a + 1 + 2) to r + w*a and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 154.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**3 + 3*u**2 + 3*u. Let y(x) = -x + 19. Let z be y(21). Let b be v(z). Solve 0 = -3*f - 7 + b, 5*c = -f - 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 4, t: 6, b: 2, h: 2}. Give prob of sequence vv.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*m + 475498 = 47467. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157325, -309792, -462259, -614726, -767193, -919660?\nAnswer: -1072127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17*(10700\/40)\/(-107)*((-24)\/(-10))\/(-2).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 10:58 AM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 0*k - k)*(-2 + 3 + 2) + (2 + 0 + 0)*(-4 + 4 + 3*k) + 9*k - 6 + 20 - 10.\nAnswer: 9*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-309)\/(-3708))\/(((-15)\/5)\/(-9))*(-88)\/7?\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -20. Let o(z) = -z**2 + 4*z + 2. Let v be o(n). Suppose 2*a = -8, 0*a - v*a = m - 4. Calculate the highest common factor of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11642 + -11370. Suppose -3*y - 7 = -1. What is the common denominator of -46\/27 and y\/(4\/(d\/(-36)))?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/93, -0.24, 2\/19, 2\/3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + v + 4093 = 0, -5*v - 5 - 20 = 0. Let q = -1011 + t. Solve q*i - 3*i + 40 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2049332 - 4278532. What is r rounded to the nearest one hundred thousand?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58028 is divided by 19337?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.19664 nanometers in millimeters?\nAnswer: 0.00008819664","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -327840, -327915, -327990, -328065, -328140, -328215?\nAnswer: -328290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 0, 5\/4 in descending order.\nAnswer: 7, 5\/4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -1)*(-18)\/4. Suppose 0 = -o*x + 19*x - 9240. Does 33 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30865273 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 4 = -o + 2*o. Let l be 0 - -4 - (-1 + 7). Let d(s) = s**2 + 2*s + 2. Let x be d(l). Solve o*c = x*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*b = -z + 30, 110 = 5*z + 2*b. What is the highest common factor of z and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/9)\/(10 + 80\/(-6)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16 + 3\/9*0. Suppose -4 - a = -u - 4*l, -u - 2*l = -12. Suppose 4*j - z + u = -4, 5*j - 11 = -4*z. Is 1\/8 at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 1987, 0.5, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i**1*i))**(-2\/11)*i**(-5)\/(i**2\/i))\/(i**4\/i**(-2\/7)*(i\/(i\/(i\/i**(3\/5))))\/(i**8*i)) assuming i is positive.\nAnswer: i**(-439\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2453, -2451, -2449?\n\"Answer: 2*d - 2455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 95700 and 29363950?\nAnswer: 176183700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*h + 1. Suppose 0 = 4*l - 2*k - 10, 5*l = -2*k + 24 - 7. Solve l*v + 4 = -p - 3, -2*p = 3*v + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2665 and 28085?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1128.\nAnswer: -1\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4614 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12 and 4948884547.\nAnswer: 4948884535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244260 and 660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d*d*d*d\/d**(-1\/26)*d*d)*d\/(d\/((d\/d**(-15\/7)*d*d)\/d))*d*d**(-2\/11)*d**5*d*d assuming d is positive.\nAnswer: d**(13859\/2002)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the first derivative of -10*t**3\/3 - 3*t**2 - 2*t - 3. Let q be b(-4). Does 27 divide 3\/3 - 4*1 - q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 52214, 104428, 156642, 208856, 261070?\nAnswer: 313284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + 5*l**2 + 4*l**3 + 61*l**3 + (-2*l**3 - l**3 + 5*l**3)*(2 + 3 - 3).\nAnswer: 69*l**3 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/9 + 16*l**2\/9 + 38*l\/9 + 8\/3.\nAnswer: 2*(l + 1)*(l + 3)*(l + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 9*m - 178. What is f(17)?\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4412650 by 25.\nAnswer: -176506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 6:24 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/((n**2\/n*n)\/n))**(-3\/5))**(-21) assuming n is positive.\nAnswer: n**(63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/3 + 844*h + 2534\/3 = 0 for h.\nAnswer: -1, 1267","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 114, 187, 238, 261, 250, 199, 102?\n\"Answer: -c**3 - 5*c**2 + 95*c + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 394 a factor of 11771144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -5611 != -5611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 471241 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6935986*z**2 - 10751703*z**2 - 32959519*z**2.\nAnswer: -36775236*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by 4.\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/6)\/((-5)\/(-50)). Let s be k + -5 - -1*2. Solve 2*h = -s*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 = 5*g - 88. Let c = 38 - g. Let d be (c\/(-2))\/((-3)\/(-6)). Solve -10 = d*z - 8*z, 2*x = z for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*z**2 - 1 + (-12 + 1 + 7)*(-2*z**2 + 4*z**2 - 3*z**2).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 472.74897 rounded to one dp?\nAnswer: 472.7","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 97323955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2773, -5541, -8309, -11077, -13845, -16613?\nAnswer: -19381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j**5\/2 - 34*j**4 + 108*j**3 + 103*j**2 - 503*j\/2 - 213 = 0. Calculate j.\nAnswer: -71, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 132033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*b + 315 = 5*d, -5*d + 5*b + 800 = 0. Let t = 32 - 30. Suppose -z - t*z + d = 0. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(108) + -1)*1 + (sqrt(108) - (-3 + sqrt(108) + sqrt(108)*-5) - sqrt(108)) + -5)**2.\nAnswer: -180*sqrt(3) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixc when three letters picked without replacement from ecixxte.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 8. What is the nearest to 1 in 4\/5, 0.2, x?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 5055602 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 134043.42 months?\nAnswer: 11170.285","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-12) - (-39)\/(-4). Let w be 3\/(-12)*2*l. Solve -2*a - j = 2, -7*a + 2*a + 4*j = w for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssjpwwsswssswspsjswp. Give prob of picking 4 s.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280563709?\nAnswer: 19, 14766511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*d - 85*d - 87*d - d**2 to the form n*d + j*d**2 + l and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 + 24*o - 370. Let c be z(-29). What is the highest common factor of c and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -1101010111?\nAnswer: -1101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*t = 77*t - 150. Suppose 0*g = 3*g - 3. Suppose -g + 2 = -i. Put 1, t, i in increasing order.\nAnswer: i, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l. Let p(g) = 2 + 3 - g - 4 - 13 + 4. What is k(p(z))?\nAnswer: -6*z - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -9657 and -9892 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 4*c + 3. Let u be r(-3). Suppose u = 5*q + 263 - 703. Is 21 a factor of -1*(q - -2)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2188019 = 6*y - 2187953 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 2647?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**5\/11 + 10050*l**4\/11 + 9392380*l**3\/11 - 8124363140*l**2\/11 + 1302411136770*l\/11 + 1310544882242\/11 = 0. Calculate l.\nAnswer: -2801, -1, 289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 491463.\nAnswer: 982926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 485895419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*r - 14489 + 145 = 776*r for r.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1486297, 1\/3 in descending order.\nAnswer: 0.5, 1\/3, -1486297","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 391328.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -71*d + 12. Let k be z(9). Let q = k - -550. Sort q, 4, -2, -1 in increasing order.\nAnswer: q, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 times 7\nAnswer: 2.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -16*v**3 - 2764*v**2 - 10184*v - 7436 = 0.\nAnswer: -169, -11\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40609, -40607, -40605, -40603?\nAnswer: -40601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**2 - 2*j - 2. Let r(a) = -a**3 - 3*a**2 + 5*a + 6. Let p be r(-4). What is f(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.8, -0.3, -0.06, 1, 0.12 in descending order.\nAnswer: 1, 0.12, -0.06, -0.3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -11*k**2 - 8*k. Suppose z - 4*p = 11, 0 = -4*z + 2*z + 3*p + 2. Let g(q) = -7*q**2 - 5*q. What is z*x(o) + 8*g(o)?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 484 (base 12) in base 8?\nAnswer: 1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**1))**(-17\/4)*(d**(1\/5))**10 assuming d is positive.\nAnswer: d**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 5*u - 28. Let v be o(5). Let g be (12\/v - -5) + -6 + 2. Which is the third smallest value? (a) g (b) -0.2 (c) 2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -22258 - 1745.191\nAnswer: -24003.191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1803722*k**2*v - 17*k**2 - 249693075*k*v wrt k.\nAnswer: 3607444*v - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1.393, 0.16, -5, 0.4, 3\/5?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/399941 or 0.1?\nAnswer: 3\/399941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.3, 8, -0.7, 58, -27 in descending order.\nAnswer: 58, 8, -0.7, -1.3, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 117804?\nAnswer: -117802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26 - -106. Let t = 80.33 - m. Let u = 0.07 + t. Which is the second smallest value? (a) 4\/3 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {p: 4, u: 2, g: 1}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 1. Let d be a(3). Let q(u) = u**2 - 2. Let l be q(d). Suppose -x + 10 = l. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:19 AM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*k - 390 = 9*k. What are the prime factors of (115\/k)\/((-7)\/98)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 449 times 498?\nAnswer: 223602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + 3 - -2) + (-931)\/168 and 91\/64?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sum 616876 and -42142546.\nAnswer: -41525670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from cvrvilw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-13\/2)\/a)\/a)\/a)**(-2\/59)\/(a\/(a\/(a\/(((a\/(a**(-9)\/a))\/a)\/a*a)*a))*a\/(a*a**0)) assuming a is positive.\nAnswer: a**(491\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.9745371 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.05, 3\/8, 6\/163?\nAnswer: 6\/163","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128657543?\nAnswer: 7, 29, 633781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31111 (base 4) in base 12?\nAnswer: 5b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/((-2)\/(-1)) + -5. Let y(v) = -4 + 3*v + 2 + 4. Let w be y(-2). Put 3, w, k in descending order.\nAnswer: 3, k, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i\/((i**(-7)*i)\/i))\/i)\/(i*(i*i\/(i\/(i\/i**7))*i*i)\/i))\/(i*i*i\/(i*i\/(i\/i**(-1\/6)*i))*i*i**(-5)) assuming i is positive.\nAnswer: i**(71\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l, -5*p - 4*l = l + 580. Let w = -117 - p. Solve -w*j + j - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**2 - 12774*s + 102298. What is o(8)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 21 + -13 + -7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21137 + l**2 + 7251*l - 3631*l - 3620*l to the form m*l**2 + h + n*l and give h.\nAnswer: -21137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-101)\/7 - 9\/(-21)).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 211?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 7*s**2 + 25*s + 122. Let w be b(-6). Solve -p = p + w for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) + -5)**2 - -4*sqrt(13)*1.\nAnswer: -16*sqrt(13) + 77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**15*o*o**(1\/8))**(-35) assuming o is positive.\nAnswer: o**(-4515\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 344282773 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6044 - 105?\nAnswer: -6152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a day in minutes?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014167 rounded to three dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -50683788181 and 11.57.\nAnswer: -50683788169.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 69?\nAnswer: -6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 2*t**3 - 8*t**2 - 45*t. What is p(-4)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-8 - 376\/(-40)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-161.8\nAnswer: 80.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + j + 14 = 0, x - 3*j - 86 = -74 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - m - 3 + 55, m = -3. Which is the closest to -2\/3? (a) -2\/25 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 206*x**3 + 36*x**2 + 8*x. Let v(z) = -69*z**3 - 13*z**2 - 3*z. Let l(j) = 4*s(j) + 11*v(j). Let b be 0 + (2 - 3)\/(-1). Is l(b) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - 53676297 + 53676297.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 1352*o**4\/15 - 14456*o**3\/5 + 222*o**2 - 64*o\/15 = 0.\nAnswer: 0, 1\/26, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841247 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 7*f + 9. Let p be s(10). Let k be -1 - (-81)\/p - (9 + -14). Solve -k*c**3 + 5\/7*c + 1\/7*c**2 + 3\/7 = 0 for c.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l - 2. Let n be h(1). Find the third derivative of 7*o**n + 5*o**6 + 2*o**6 + 8*o**6 + 5*o**2 wrt o.\nAnswer: 1800*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2. Let j(d) be the third derivative of 0*d**3 + 0*d - 1\/12*d**4 + 10*d**2 + 0. Calculate j(o(b)).\nAnswer: -8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -714523 rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, 3, -9, 0.4, -2, 115 in increasing order.\nAnswer: -46, -9, -2, 0.4, 3, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 368437 is divided by 191.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 2*u + 30, 3*h - 30 = -4*u - u. Solve 7*g - h = 5*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648861 to the power of 1\/2, to the nearest integer?\nAnswer: 806","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -97*d**2 + 62*d**2 + 2*d + 12*d**4 + 40*d**2 - 2*d**3 to the form m*d**2 + x*d**3 + f*d + s + p*d**4 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6931192100 minus 7.2?\nAnswer: -6931192107.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 7*d**6\/3 - d**5 - 35*d**2\/2 - d - 64. What is the second derivative of w(a) wrt a?\nAnswer: 280*a**3 - 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 75 and -7592.\nAnswer: -569400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 23, 2, -362.\nAnswer: -362, -4, 1, 2, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1930, 1932, 1936, 1942, 1950?\nAnswer: 1960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90885.19 micrometers to meters.\nAnswer: 0.09088519","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -4, 1516, -0.4, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 32511473, 5, 2 in ascending order.\nAnswer: 2, 5, 32511473","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*c - 87*c + 80 = -1117 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121342?\nAnswer: 2, 13, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 1\/6, -2, -23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a decade?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2578 + -1341. Let b = -735 + v. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 11*f - 6. Let s be v(1). Suppose -i + 2*u = -9, i - 4*u = s - 2. Let q = i - 15. Solve q = 3*t + t + 4*g, -5*g = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31744 is divided by 15062.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) - (sqrt(104) - (sqrt(104) + sqrt(104)*-3))*-2 - (sqrt(104)*2*3 - sqrt(104)))\/(3*sqrt(800) + 2*sqrt(8)*1).\nAnswer: sqrt(13)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161628 is divided by 179.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*g + 2*i + 18, 3*g - 51 = 3*i. Solve -g*t + 27*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -964236, -1928671, -2893106, -3857541, -4821976, -5786411?\n\"Answer: -964435*k + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, e: 1, x: 4, p: 6}. What is prob of picking 1 e and 1 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*3*(-195)\/(-390))\/(468\/(-16)).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 4:21 PM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -391.58488*0.5\nAnswer: -195.79244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -870 = -13*d - 246. Solve 0 = w - d + 52 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 4) to base 14.\nAnswer: -1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**5 - 160*b**3 + 451*b**2 wrt b.\nAnswer: -60*b**2 - 960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4ecb (base 15) to base 6\nAnswer: 205545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.4 - -98.4. Let j = h - 95.1. Let w = 3 + -7. Is w greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 546007 - -478252196\nAnswer: 478798203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -18*u**2 + 51*u - 107. Let o be y(31). Let i = 94699\/6 + o. Which is smaller: i or -40?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/4 and -56.562 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 92*h*i**3 - 2*h*i - 531*h + 1008*i**3 - 31*i**2 + 3*i wrt i?\nAnswer: 552*h + 6048","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(20)\/sqrt(4) + 3 + sqrt(30)\/sqrt(54)).\nAnswer: 16*sqrt(5)\/3 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59615*y**2 - 119247*y**2 + 10*y**3 + 59632*y**2.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/20))**(2\/23)*((p\/p**(-16))\/p)**(1\/7) assuming p is positive.\nAnswer: p**(3659\/1610)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -2\/5, -2, 19 in descending order.\nAnswer: 19, 0.4, -2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1235367907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -2*m**3 + 29*m**2 + 18*m - 5. Calculate the remainder when 116 is divided by g(15).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 83, 172, 269, 374, 487?\nAnswer: 608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**7\/v**(5\/7)*(v\/(v*v\/(v\/(v\/(v*(v**(-1\/8)\/v)\/v)))*v*v)*v)**(-2\/93) assuming v is positive.\nAnswer: v**(16543\/2604)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (4*sqrt(567)*-1 - sqrt(567)) - (3 + sqrt(567) + 2*(-4 + sqrt(567))))**2.\nAnswer: -288*sqrt(7) + 36292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -45. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 7*z**2 + 3*z - 19. Suppose 17*a = -68 - 34. Let o be l(a). What is the biggest value in 5, o, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 1504 = 229*d + 9037 for d.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 11:15 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1067534.9 and 5?\nAnswer: 1067529.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-24) + 195674\/(-268944)?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111 + -111?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 427619 to the power of 1\/2, to the nearest integer?\nAnswer: 654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -16 and 125.27?\nAnswer: 141.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 4. Let d be j(0). Let b be 0\/1 - (-16)\/d. Suppose -8887351 = -b*t + 35512649. What is t rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 5*w + 2*k, 21*w - 18 = -6*k + 4*k for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 915 = 5*z - 5*n, -5 = 3*n - 20. Let p = z + -1127\/6. Is p smaller than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**6\/10 - 3*k**5\/25 + 3*k**4\/20 + k**3\/5 - 7. Factor n(d).\nAnswer: -3*d**2*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, u: 1}. What is prob of picking 2 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u - 8. Calculate the lowest common multiple of q(4) and 6.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7*v + v - v)*(5*v - 5*v - v) + 179 - 19*v**2 - 179)*(1 + 2*v - 1)*(-v + v - v).\nAnswer: 24*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = -64 + 48 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 12*g**2 - 30*g + 368. Determine k(6).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + o + 1)*(54*o**2 - 7*o**3 - 54*o**2 + 2)*(-5 + 21 + 14).\nAnswer: -210*o**4 + 60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11470, -11533, -11578, -11605?\nAnswer: -11614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164\/14 + 8\/28?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 5:52 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or 143?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 5 + 0)*(3 - 2 + 1)*(-a + 3*a - a) to the form c*a + j and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3243 - -3255) + (58 - (2 - 2))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 76*x**2 - 103*x + 1055. Calculate m(37).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 13 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*c - 7 + 11, -3*g - 6 = -4*c. Suppose 0 = -c*f + 3*f - 15. Solve 0*b + 10 = b + 5*n, -f*b - 19 = 2*n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*i + 15. Suppose -j + 20 = 3*s + s, 3*j - 4*s = i. What is the greatest common factor of j and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqi when three letters picked without replacement from {w: 2, i: 2, q: 3, z: 9}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmenmmennncmnnmnmnn. Give prob of picking 1 e and 2 n.\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14724 or 103066\/7?\nAnswer: 14724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -364*b**4 + 2113*b**3 + 6313973*b?\nAnswer: -4368*b**2 + 12678*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 53219, 53225, 53235, 53249?\n\"Answer: 2*b**2 + 53217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -212 (base 4) in base 6?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 13. Let o(j) be the first derivative of j**5\/120 + j**4\/8 - 26*j**3\/3 + 13. Let n(p) be the third derivative of o(p). Give n(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 7*u - 1. Let t be (-5)\/4 + (-3)\/(-12). Let r = 6 + t. Is 7 a factor of a(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {i: 1, f: 4, q: 3, b: 1, g: 6, n: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 6*d**2 + 6*d - 3. Let b = 12 - 19. Let q be i(b). Calculate the greatest common factor of q and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*o - 236 - 2 = 40*o. Calculate the remainder when 2276 is divided by o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1140*c**2 + 1867*c**2 + 1509*c**2.\nAnswer: 2236*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -85.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1749)\/(-15) - 2\/(-5). Find the third derivative of -2*h**2 - 114*h**6 + 0*h + 0*h + v*h**6 wrt h.\nAnswer: 360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -856 smaller than -860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 3*z**3 - 4 - 38*z**3.\nAnswer: -35*z**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.2 and -2.05142.\nAnswer: -78.364244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0451 - -4.0451. What is the second smallest value in -1\/20, f, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9096166 to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(448) - (sqrt(7) + sqrt(77)\/(sqrt(11) - sqrt(11)*3)).\nAnswer: -1 + 15*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 2*o**2 + 14*o + 20. Let k be y(-2). Let v be (-36)\/k + (-4)\/(-8). Put -4, -43, v in increasing order.\nAnswer: -43, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.5624422 and 229190.\nAnswer: 229187.4375578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-52)\/(-65))\/(4\/121140*6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1231 + 1627. Calculate the lowest common multiple of d and 1089.\nAnswer: 4356","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, o: 10}. Give prob of sequence mmo.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2 - 4 + 9 - 2 - 2*p**2 + p**3. Let s be n(1). Let o = 0.1 + -0.3. Which is the closest to o? (a) 0.5 (b) -5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25\/3? (a) 24 (b) -0.3 (c) 0.17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337908454 is divided by 391?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = 24*r - 7*r - 4*n + 10, 3*r - 8 = -n for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3198210 is divided by 106.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -79*l - 1621. What is the remainder when 82 is divided by d(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t**3 + 40*t**2 + 73*t + 20. Determine l(-18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z - 4. Let w be r(6). Let l be 0 - (1220\/(-18))\/1. Let g = l - w. Which is greater: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + i = 19, k + k + 5*i - 23 = 0. Suppose 5*h = 2*m + k, 0*m + h - 12 = -3*m. Suppose 4*l + m*s = 26 + 19, 0 = -5*s - 25. Solve 0*q + l = -5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(11) + -3 - sqrt(11)) + 2)**2.\nAnswer: 6*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 9 = -99. Let c = 11651 - 11656. Sort 4, p, c in ascending order.\nAnswer: p, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(10\/9))\/n**(-2\/13)*n*n\/n**(-20)*n*n**10 assuming n is positive.\nAnswer: n**(3866\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + n - n)*(3 - 1 + 0) + 2*n - 1 + 1 + (-1 + 1 + 1)*(-1 + 2*n + 1) to l*n + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 9:34 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -2*j + 20, 353*n - 24 = 355*n - 3*j. What is the third biggest value in n, -0.5, 5, 3\/5, 28\/9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 3*m - m)*(-5*m**2 + 6*m**2 + 3*m**2) - 4*m**2 + 3*m**3 + 4*m**2.\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (56322\/(-15750))\/(9\/(-15)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 6*y**2 - 6*y. Suppose -2*t + 77 = 27. Suppose 4*k + t = -k. Let r be i(k). Which is the biggest value? (a) r (b) -0.1 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*o**2 + 337*o**2 + 505*o**2 to p*o + c*o**2 + n and give c.\nAnswer: 779","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 98, 112, 116, 104, 70?\n\"Answer: -g**3 + g**2 + 18*g + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/15687 and 53\/10179?\nAnswer: 5913999","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6387995.\nAnswer: 5, 191, 6689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 + -7. Suppose -9 - q = -16*t. Solve 3*z + 3*f + t = 6*f, -4*f = -z - 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -31712.55 in increasing order.\nAnswer: -31712.55, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -71, -109, -175, -281, -439, -661, -959, -1345?\n\"Answer: -2*w**3 - 2*w**2 - 18*w - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011000 (base 2) in base 7?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -m**3\/4 - 1107*m**2\/4 - 2211*m\/4 - 1105\/4 = 0.\nAnswer: -1105, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2 - -7)\/(27\/6 + -2). Suppose -58*u + 3110 = -53*u + 5*w, -2 = b*w. Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 23 + -7 + 11\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -2913715.76 to the nearest one hundred thousand.\nAnswer: -2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 55 + 7 = 0. Suppose -i = 26 + x. Let l be 3 + 1 + i\/8. Which is the second smallest value? (a) l (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/2 + 0 + -1. Let h = -71\/10 - j. Let 8\/5*z + 8\/5 + h*z**2 = 0. What is z?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 79074?\nAnswer: 553518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -60 - (-4 - (117 + 12)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3 + 13 - u - 26 + 17 - 5*u = 0 for u.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 30 = -0. Let j = -0.57 - -0.6. Let f = j + -0.33. Which is the second biggest value? (a) -0.01 (b) -0.1 (c) f (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50472, 100144, 149800, 199434, 249040, 298612, 348144, 397630?\nAnswer: 447064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-9))\/((-2)\/(-6)). Suppose -2*a - 3 = 4*q - 13, -2*q + 2 = 0. Suppose -z = -n*p - 16, 4 = z - p + a. Sort -5, -2\/5, z.\nAnswer: -5, z, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 - 31 = -3*j. Suppose 3*t - j + 12 = 0. Let r = 6 + t. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hithr. Give prob of sequence hh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 155474 (base 9) in base 12?\nAnswer: 475aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3 = 3*t + 4, 0 = t - 5*j - 26. What is the units digit of (t - (-1)\/(-1)) + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/10 - (-15912)\/(-2295)) + 6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 - f**5 - 6*f**5 + (-7*f**5 + 0*f**5 + 3*f**5)*(-1 + 0 - 2).\nAnswer: 6*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38350166 to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1252.\nAnswer: 2504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -15.5 != -47090\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 68*l**4*w**3 + 3*l**4 + l**2 + 3*l*w**3 + 51 wrt l.\nAnswer: 1632*l*w**3 + 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (45\/(-10))\/3 - (-10)\/((-100)\/(-11)). Let i = 0.32 + -2.52. What is the closest to -2\/5 in z, -2, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13.05 - -13. Let n = 0.05 - d. Which is smaller: n or 11?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 6*o - 412. Let f(w) be the third derivative of -w**4\/6 + 26*w**2 - 49. Determine f(v(b)).\nAnswer: -24*b + 1648","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 9 = -3*x. Let z be 1 + 3 + x - -2. What is the first derivative of -20 - 6*d**3 - z*d**3 + 14*d**3 wrt d?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 2*p**2 - 319*p - 71. Determine n(17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 31247644*y**4 - 87614067.\nAnswer: 124990576*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*f*i**3 - 127*f*i - f + 2*i**3 + 11*i**2 - 328*i wrt f.\nAnswer: -5*i**3 - 127*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -263*x + 310*x - 47*x + 4*x**2. Let w(i) = -767*i. What is r(w(j))?\nAnswer: 2353156*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -2669.25.\nAnswer: -26.6925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 9*v**2 + 7*v + 6. Let f be l(8). Let t be ((-16)\/(-3))\/(f\/(-3)). Which is the third smallest value? (a) -4 (b) t (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3123 and -1229.\nAnswer: 3838167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 6. Suppose 4*x - 24 = -y, 4*y - 96 = r*x + 2*x. Calculate the remainder when 93 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-16)\/(96\/(-10)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 7*j**3 - 8*j**2 - 4*j + 31. Let z(p) = -15*p**3 + 18*p**2 + 9*p - 61. Determine 9*q(g) + 4*z(g).\nAnswer: 3*g**3 + 35","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.9839 - -1.0839. Suppose 0*g - g - 3*i - 21 = 0, 20 = -4*i. Let y(s) = -2*s - 9. Let z be y(g). Which is the closest to 0.1? (a) o (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**4\/5 - 2917501*q**3\/5 + 5834998*q**2\/5.\nAnswer: q**2*(q - 2917499)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -74*d - 94 + 110*d**2 - 81*d + 156*d + 23 - 62 wrt d?\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 + -11 - 1547\/104)*1\/((-25)\/(-10))?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 - a**2 - 3*a**2 + (a**2 + 10 - 10)*(7 + 0 + 1) - 12*a**2 - 9*a**2 + 17*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -215290*m + 215203*m + m**2 - 2 + 1 to s*m**2 + w + n*m and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 259, 922, 2219, 4360?\nAnswer: 7555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -6. Let x = -1 + -2. Let n be (1 + 0)*x\/5. What is the closest to 0 in n, y, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.23 + 0.07. Let f = -0.1 - 2.9. Which is the closest to 1\/2? (a) 2\/7 (b) f (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d + 10. Suppose d*v - 113 = -2*o, v + 48 = 5*o - 167. Does 22 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 5*r + 7. Let m be 825\/225 - ((-2)\/6 - 0). Let k(v) = 4*v + 6. Give m*k(z) - 3*g(z).\nAnswer: z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - -2) + (-7)\/(-1). Solve -4*z - 7 = n*w, 1 - 6 = 5*z + 5*w for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 10 = 6. Calculate the common denominator of -2 - ((-177)\/27 + r) and -68\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -137, -268, -389, -494, -577, -632?\n\"Answer: z**3 - z**2 - 135*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 49. Let m(y) = 0*y + 7*y - y**3 + y**2 - a*y + 1. Calculate m(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 1.5. Let q = -4\/75 - -1402\/975. Let c = q - 59\/52. What is the closest to c in a, 3\/7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 n when three letters picked without replacement from naynnnnnyn.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39.2 + 39. Let g = -252 + 4790\/19. Which is the closest to 0? (a) q (b) -5 (c) -1\/8 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1233485 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s + 140 - 140)*(-2 - 2 + 3 + (2 - 1 - 2)*(5 - 5 - 2) + 4 - 2 - 1) + (-3 + 3 + s)*(-3 - 2 + 4).\nAnswer: -15*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -518468.17 - 5.\nAnswer: -518473.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 3:31 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**4*m*m**(3\/5)*m**(1\/5)\/m*((m\/m**(3\/7))\/m)\/m assuming m is positive.\nAnswer: m**(118\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from czzczzzccccc?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 p when four letters picked without replacement from {p: 8, x: 5, m: 2}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 66. Is (6\/r*6873)\/(1\/2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 - 2)*(-5*d**4 - 29*d**3 + 3*d**2 + 29*d**3).\nAnswer: 25*d**4 - 15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -j**4\/12 + 59*j**2 - 11*j. Let a(h) = -213*h**2. Calculate g(a(r)).\nAnswer: 426*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -39\/17, -1\/15, 0?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 16 + 24. Let x(j) = 2*j**3 + 3*j**2 + j + 2. Let i be x(-2). Let s be (1 - -2) + i + 5. Solve -4*q + 3*q - 2*z = t, 0 = s*q + 2*z + 16 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**6\/i)\/i*i)\/(i\/(i**19\/i)) assuming i is positive.\nAnswer: i**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1408045 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1600197 - 3*o**3 + 1600197.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**6\/4 + 6*w**5\/5 + 9*w**4\/4 + 2*w**3 + 3*w**2\/4 - 1. What is j in o(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + 25. Does 30 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/120 - v**4\/12 - v**3\/6 - 2*v**2. Let m be x(-1). Find the second derivative of -y**4 - 3*y + 4*y**4 + m*y wrt y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 97*r**2 - 2. Let l(k) = -1260*k**2 + 27. Let u(z) = -2*l(z) - 27*x(z). Let a(d) = -d**2. What is a(u(f))?\nAnswer: -9801*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1856.77 to zero decimal places.\nAnswer: -1857","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 11:57 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y - 15. Suppose y*o - 65 = 4*d, 5*d - 3*o = d - 71. Let t = 20 + d. Solve 3*k + k = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + j - 53 = -0*v, 15*v + 18*j + 33 = 18*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 - 18 = 5*g. Let i = -4 + g. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6a439 - 0?\nAnswer: -6a439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*k - 1 = 3*k, -3*k = -5*b - 3. Let c = b + 22. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77680, 77793, 77950, 78175, 78492, 78925, 79498, 80235?\n\"Answer: 4*n**3 - 2*n**2 + 91*n + 77587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, i: 1}. What is prob of sequence mmm?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -4*y + 82. Suppose -5*s + 40 = 2*q, 2*q - 5*s = -3*q + 30. Calculate the remainder when y is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 649950, 649948, 649946?\n\"Answer: -2*d + 649952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 + 55 - 153 - 120*f**2 + 232*f**2.\nAnswer: 112*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-8))\/(5\/(-20)). Let s be (g\/(-8))\/(1\/(-20)). Suppose -3*h = -2*h + 5*k - 143, 3*k = s*h - 631. Calculate the highest common factor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5556, 27352, 65394, 119694, 190264, 277116?\nAnswer: 380262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 to the power of 1\/2, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 286556214 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4139, -8027, -11915?\n\"Answer: -3888*u - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 9 = d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3426590\/97 smaller than 35326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -1131774?\nAnswer: -2\/565887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10275 divided by 5\nAnswer: 2055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2912 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-5)\/45*6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*l = 11970 + 26468 - 7734 for l.\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 - 1 + 0*w**2 + 0*w**2 - w. Let q(r) = r**2 - 4*r - 3. Suppose 4*b = 2*z + 168, -z = z + 3*b + 182. Let l = 85 + z. Determine l*c(u) + q(u).\nAnswer: -2*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1365158 is divided by 14679?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 10*o**2 - o + 8. Let x be p(9). Let l be -2*(-4)\/((-16)\/x). Find the third derivative of l*u**5 + 3*u**2 - 49*u**5 - 4*u**2 wrt u.\nAnswer: -480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**8\/1008 - s**7\/315 + s**6\/360 - 212*s**2. Find p such that w(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1 - (sqrt(3) + sqrt(243)*-4 + sqrt(3) - sqrt(3))) + 3.\nAnswer: 2 + 47*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -4*n**3 + 266100*n**2 - 4427038812*n + 48665234156 = 0.\nAnswer: 11, 33257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -26 + -e52b9?\nAnswer: -e52e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -18*u - 7*u + 17*u. Give j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n\/(n\/n**2)))*(n*n**(2\/3))\/n)\/((n**(-7\/4)*n)\/(n*n**(-1)*n))*(n**(3\/8)*(n\/n**(-2\/9))\/n)**(-30) assuming n is positive.\nAnswer: n**(-27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(117) + 4 + sqrt(13)*2.\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*y + 440 - 313 = -1521 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*g - 2187 - 6*g**2 - 579 + 8*g**2 - 30*g + 15*g in the form i*g + m*g**2 + s and give s.\nAnswer: -2766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -0.4, 1 in increasing order.\nAnswer: -0.4, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = 4*a + 49, 5350*a - 5349*a + 1 = -g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -2, -0.3, 0.567 in ascending order.\nAnswer: -87, -2, -0.3, 0.567","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-329)\/235)\/(8\/10).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 23 = 5*m - 111, 0 = -2*q - 4. Solve 5*v - 4*k = 32, 5*v = 22*k - 20*k + m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 1)*-1*5\/70. What is the third smallest value in o, 5\/3, 2\/9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462.1572 centimeters to meters.\nAnswer: 4.621572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4 - 19*a - 4 - 10*a. Let r be i(-1). Let k = r + -26. What is the smallest common multiple of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -22 - 3. Suppose 2*f - 5*b - 133 = 0, -2*f - 3*b + 154 = -b. What is the remainder when f is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {p: 1, x: 1, y: 6, n: 2, d: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12746, 12749, 12752, 12755, 12758?\nAnswer: 12761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3003916 by -1493.\nAnswer: 2012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 16*y. Let b(z) be the second derivative of 0*z**2 + 1\/3*z**3 - 2*z + 0. Calculate f(b(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10950476?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -2*j - 104, -3*f - 3*j = 54 + 261. Is f < -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v - 3 + 3)*(0*v - 2*v + v) + 3*v + 7*v**2 - 3*v + v**2 - 3*v**2 + v**2 + 2 to the form h*v**2 + s*v + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7\/3*j**3 + 4\/3*j**4 - 1\/3*j + 0 + 2\/3*j**2 = 0. Calculate j.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 43065 and 52515.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68928043 and 12.\nAnswer: 827136516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 288 = -146679*d + 146691*d - 240 for d.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40228.66 weeks to hours.\nAnswer: 6758414.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -55341 and -4.0027.\nAnswer: -55345.0027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522405 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15004)\/6 - 2\/(-3). Suppose -37*q + 136880 = -8*q. Let f be 11\/(11\/q)*w. What is f rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811791899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502484?\nAnswer: 2, 125621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5822 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x**3\/8 - 13*x**2\/8 - 2*x + 7\/2 = 0. Calculate x.\nAnswer: -2, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*-5*sqrt(75))**2 + 4 + -1*(4 + sqrt(3)))*-3.\nAnswer: -12*sqrt(3) + 22500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 10. Let t = i + 6. Let p = 1 + t. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from 138401589.\nAnswer: 138401589.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9003*b + 385 + 4506*b + 4498*b)*(b + 3*b - 3*b) as n*b + t + w*b**2 and give n.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/3)*r)**40\/(r*r\/(r**(-1\/9)*r)*r\/(((r**(1\/6)\/r*r)\/r*r)\/r)) assuming r is positive.\nAnswer: r**(187\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 9 = -4*n, 5*n = -102*x + 104*x - 20. Put -65, x, 5, -4 in descending order.\nAnswer: 5, -4, x, -65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15*k = 0. Suppose -19 - 1 = -5*y, k = -4*t - 3*y + 12. What is the closest to 1 in t, 4, -12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 5*m - 5095. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -640 + 648. Let c = 7.9999155 - i. Round c to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-14)*18\/(-45). What is the closest to 1 in -0.3, 0.2, f?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 9*o**2 - 2*o - 17*o**2.\nAnswer: -26*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s + 59. Let v(w) = w - 28. What is 6*r(u) + 10*v(u)?\nAnswer: -2*u + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18824004 to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2348564189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10181 - 10176. Solve -20 = l - 6*l, -c*v - 31 = -4*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2 + t. What is j(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -27. Suppose c - 3 = -y, -2*c - 3*c + 2*y = -w. Sort -1, -4, c.\nAnswer: -4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 9248551424 and 944.\nAnswer: 9248552368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 5)*6\/4. Suppose -3*t = t - 5*q - 23, -b*t + 4*q = -18. Suppose c = t*c - 124000. Round c to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 250, 274, 308, 346, 382, 410, 424?\n\"Answer: -u**3 + 11*u**2 - 2*u + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 0*x + 0*x + (1 - 3 + 0)*(-4*x + 3*x + 3*x) + 2*x + 0*x + 2*x + 0*x + 7*x + 0*x + 2 + 7*x - 2 as q*x + k and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -979\/2 - -490. Factor m - 2*c + 3*c**2 + 1\/2*c**4 - 2*c**3.\nAnswer: (c - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7)**26*((d\/(d*d*(d*d**(-16))\/d))\/d)**(-3\/25))**(-47) assuming d is positive.\nAnswer: d**(-211876\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3.8 (b) 2\/5 (c) 5 (d) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/3 + 151*a**2\/3 - 154*a = 0. What is a?\nAnswer: -154, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77.49*-3.\nAnswer: -232.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -4, 178 in descending order.\nAnswer: 178, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i + 17*i = 0. Let v(o) be the second derivative of 0*o**3 - 2*o - 1\/54*o**4 + 1\/9*o**2 + i. Let v(y) = 0. What is y?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/9 - 2\/(-9). Solve 3*g = 5*r + u*g + 18, 3*r - 3*g + 18 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210182*s + 211539*s = 80063 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-42592 - 264*o + 42592)*((-o + 0*o + 0*o)*(-o + o + 2*o**2) - 3*o**3 - 4*o**3 + 5*o**3) in the form q + r*o + b*o**3 + d*o**4 + k*o**2 and give d.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*b, 5*y - 234 = -5*b + 221. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j**2 - 124 + 124)*(53*j - 3*j**2 + 4*j**2 + j**2).\nAnswer: 14*j**4 + 371*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 17447043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11042337 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 42. Suppose -12 = -2*w + u. Suppose -q + 2*s = -0*s - w, -3*q + 65 = -4*s. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 384, 2140, 6144, 13278, 24424, 40464, 62280, 90754?\n\"Answer: 147*n**3 + 242*n**2 + n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a when three letters picked without replacement from zaahhhahazz.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4768308 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1\/3 (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1923485751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 1. Let u be ((-12)\/l)\/(-2) + -2. List the prime factors of 26 + (u - 0)\/(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1291378 times -1.9\nAnswer: 2453618.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 199 + -188. Suppose -4*u - 3 = -t - 4*t, 5*t = -u + 18. Let d = i + u. What is the highest common divisor of d and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 132, 148, 170?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 - 3) + -2 + 0. Let b = -8 - -5. Is b at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 1499\nAnswer: -7\/1499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 12*i**2 - 23*i + 12. Let x be z(10). Is (-6)\/x*6*61 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + m = -40, -4*m + 107 = -4*a + 75 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28576, -28573, -28570, -28567, -28564, -28561?\nAnswer: -28558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -6*c + 381506, 4*c - 9*x = -7*x + 254332. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-14))\/4*2\/12.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 PM and 11:36 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -b15b4 (base 12) to base 6\nAnswer: -4535544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -859.3 and -0.1.\nAnswer: 85.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3162 = -3*r + 3135 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*q - 6*v + 8, -14 = 2*q + 2*v. Let c = -2 - q. Calculate the lowest common multiple of c and 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, r: 1, u: 1}. What is prob of sequence rud?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-4))\/(1\/(-64)). Let o = 21567 + -128921\/6. Let w = m - o. Put -0.2, -2\/9, w in decreasing order.\nAnswer: w, -0.2, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -59*j**4 - 6031*j**3 - 29*j**2 - 213485*j + 198 wrt j?\nAnswer: -708*j**2 - 36186*j - 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6.8 - 7. Let n = 495\/4 - 123. Which is the closest to 0.1? (a) n (b) -2\/7 (c) -0.1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237491796?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18253538.1 hours to weeks.\nAnswer: 108652.0125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 35*h**2 - 7*h + 8. Let u be k(1). Calculate the highest common divisor of 144 and u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/7 and -35\/199?\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137319516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*q**2 + 4 - 4 to the form t*q + l + g*q**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - (6 - -6) - 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 118, 120, 114, 94, 54, -12, -110?\nAnswer: -246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, k: 2, v: 3, m: 1}. Give prob of picking 1 i and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**25\/(y\/y**(-29)))\/((y\/((y\/(y*y**4))\/y*y))\/y**(-1\/6)) assuming y is positive.\nAnswer: y**(-61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.97 + 2.1. Which is bigger: z or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 74*o - 60279 - 137227. Is 54 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 895 divide 133325465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmucqnc. Give prob of picking 1 n, 1 c, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -3*g + 12. Let j = g - -1. What is the second derivative of 2*o**4 - o**j - o - 2*o**4 wrt o?\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22002210022200 (base 3) in base 7?\nAnswer: 51414132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/23122 and -31\/8.\nAnswer: 92488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, p: 2}. What is prob of picking 3 z and 1 p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 24*l + 3904. Let q be b(-41). What is the greatest common factor of q and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 16*a**2 - 4*a - 67. Calculate the remainder when 757 is divided by w(17).\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 9369 and 37693.44.\nAnswer: 47062.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((-4 + sqrt(539) - sqrt(539)) + sqrt(11) + 3*sqrt(539))*-5 + 0)**2 + -1.\nAnswer: -4400*sqrt(11) + 133504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/6)\/(9580\/609288)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0142 + 2.9858. Let p be 6 + 1*(0 + -1). Sort p, 0, q.\nAnswer: 0, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 395*c**2\/2 - 11*c - 36 = 0.\nAnswer: -2\/5, 36\/79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 1:05 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -33734, -33733, -33732, -33731?\n\"Answer: t - 33735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3770019.\nAnswer: 3, 11, 113, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4268316946?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000106996 rounded to six dps?\nAnswer: -0.000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -15770.\nAnswer: -15770.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*c - 0*x - 9, 3*c + 2*x = 11. Suppose c*y = 2*y. Suppose -2*z + 47 = 3*a, y = -a - a + 2*z + 48. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.66764 and 788649.\nAnswer: 788649.66764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*i + 3*p, i + 3*p - 48 = -2*i. Suppose 0 = -3*w + i, 3 = c + w + 1. Let u be 6\/5*5\/2. Sort -2, u, c.\nAnswer: c, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14065 - 21?\nAnswer: -14106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 8*n + 31*n + 16*n + 14*n. Let b(p) = -11*p. What is q(b(u))?\nAnswer: -759*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -1433?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -12, -o - v = 15 - 26. Solve -o = -r - a, -5*a = -16*r + 14*r - 18 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662424345 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.9 (b) 51 (c) 0.2 (d) -2.2 (e) -5\/9 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a centimeter in millimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2791*y**2 - 77*y - 668670 wrt y?\nAnswer: -5582*y - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -321830 - -719085. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 4*d - 1954, -5*z - 7*d = -3*d - 3246. Is z even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 3 (b) -22 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*x + 43*x = -11392. What are the prime factors of x?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/11, 1\/2, 2\/7, -56601 in descending order.\nAnswer: 1\/2, 2\/7, -2\/11, -2, -56601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 165*q**2 - 3*q. Let v(a) = 319*a. Calculate v(c(f)).\nAnswer: 52635*f**2 - 957*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + s + s)*(2*s**2 + 0*s**2 - 3*s**2) + 1 - 1 - 2*s**3 + (-2*s**2 - 3*s**2 + s**2)*(0*s + 4*s - 2*s).\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55558693?\nAnswer: 29, 1915817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.083 + 0.017. Which is the nearest to 5\/3? (a) 3\/2 (b) -0.2 (c) 4\/7 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5786513, 11573130, 17359747, 23146364, 28932981, 34719598?\n\"Answer: 5786617*u - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -299.742 to the nearest ten.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - 13*j + 16. Let b be x(11). Let g(v) = -v**3 - 6*v**2 + v + 5. Give g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -228 - -226. Let k = -11 + 6. Let n(l) = -11*l**2 + 5*l - 5. Let r(p) = 5*p**2 - 2*p + 2. Determine k*r(z) + w*n(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2*n + 18. Let t = 628 - 596. Let u(d) = -3 - 29 + 1 + t. Determine 36*u(y) - 2*z(y).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1930076 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 5 = 5*u, -6 = 5*f - u. Let t(v) = v - 1. Suppose -3*z = 6 - 18. Let s(a) = -5 - z*a + 6 + 4. Give f*s(g) - 6*t(g).\nAnswer: -2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.031 + -0.069. Let h = -2 + 2. Let y = h + 0. Is y at most as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-18)\/(-945)*(-6 + -4).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9703817 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4*t**2 - 3*t + 2. Suppose i = -0*i - 4*p + 7, p + 2 = -i. Let w(f) = -3*f**2 - 3*f + 2. Let x(n) = i*w(n) + 4*h(n). Suppose x(r) = 0. Calculate r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 727383 to the power of 1\/2, to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rimrrrruimrwmi. Give prob of picking 1 m, 1 r, and 2 i.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 3*q. Let z(h) = 2*h**2 - 4*h + 1. Let k(m) = -6*m**2 + 2*m + 1. Let g be k(1). Let t(x) = g*p(x) + 4*z(x). Determine t(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:10 AM?\nAnswer: 11:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8*((-22)\/121 + 42\/110)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -6*s**2 + 3*s + 10. Calculate m(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 2 q, and 1 g when four letters picked without replacement from {g: 2, m: 2, n: 5, q: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397063495 is divided by 500.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2662 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 75*p**2 + 132*p. Let r(l) = 38*l**2 + 67*l. Let i(z) = 5*r(z) - 3*y(z). Find the second derivative of i(k) wrt k.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -347*k**2 - 5*k + 3. Let b(s) = -173*s**2 - 2*s + 2. Give 5*b(q) - 2*r(q).\nAnswer: -171*q**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 761*b**3 - 755*b**3 + 26 - 48*b**4 + 46*b**4 as l*b**2 + s*b + w*b**3 + p + u*b**4 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 793793 and 231?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-65030*v + 32007*v + 31955*v)*(-4 - 3 + 5) - 5*v + 2*v + 4*v + (-1 + 5 - 5)*(-3 - 8*v + 3).\nAnswer: 2145*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 2*y)*(-9 - 2 + 8).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d = 13 - 103. Let r(v) = -2*v**3 + 3*v**2 + 3*v + 4. Let q(b) = 2*b**3 - 4*b**2 - 3*b - 5. What is d*q(i) + 4*r(i)?\nAnswer: -2*i**3 + 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1071, 2031, 2993, 3957?\nAnswer: 4923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 377510 and 302008?\nAnswer: 1510040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 32605 - -16?\nAnswer: 3261b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-437)\/(-874)*(6 + (9 - 25))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582 greater than 1583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, r: 1, t: 1, x: 2}. What is prob of sequence rxt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 56 = -2*b. Suppose d + 3*d - 12 = 4*a, -a + 5 = 3*d. What is the remainder when ((48\/(-9))\/8)\/(d\/(-123)) is divided by b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**5\/20 + 7*h**4\/4 - 240*h**2. Factor o(c).\nAnswer: 3*c*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -6. Let k be 4\/4 + -1 + 1. Let p = -28 - -28.5. Sort p, k, d.\nAnswer: p, k, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d. Let m be i(-5). Let b = 15 + m. Let l = b + -4. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 8 (c) 2\/175\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 548 divided by 1?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y + 125. Let h(q) = 2*q**2 + 5*q + 4. Let g be h(-4). Let r = y - g. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 3*u + u - 3 - 6 as r + l*u and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7.1 and 0.5.\nAnswer: 3.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**2*g*q + 6601*a**2*q - 2*a*g*q + 14*a*g - a*q - 7*g + 3*q wrt a?\nAnswer: -2*g*q + 13202*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of -n**2 - 1\/3*n**3 + 0*n + 2. Suppose -5*h - 3 = -4*h. Determine t(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/3 - -1 - 5. Let d(y) = -y**3 - 6*y**2 - y - 5. Let r be d(x). Which is greater: r or 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326 is divided by 48.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:57 AM and 2:16 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (1 + 4 - -7) + -1 + (6 - 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 138*j - 141 wrt j.\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 8*i + 40. Let x be s(13). Suppose -5*l + 399 = x. What is the remainder when 150 is divided by l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124824*c = -249557*c + 124800*c + 7839 for c.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 t, and 1 h when four letters picked without replacement from kkkkkhhtkktk.\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 10*q + 16 = -4*a, -q - 3*a - 17 = 0. What is the closest to q in 13, -1\/3, 0.5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 91.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13924*d**5 + 1185796632*d**4 - 3477091588*d**3 + 2131852120*d**2 + 156703632*d + 2725280 = 0 for d.\nAnswer: -85165, -2\/59, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 14 - 2 - p - 2*p - 7.\nAnswer: -3*p - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(35) - sqrt(140)))\/((sqrt(84) - sqrt(84)*-2)\/sqrt(12)) + -5)**2.\nAnswer: -20*sqrt(5)\/3 + 245\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 862?\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tc when two letters picked without replacement from {t: 10, c: 2}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/8)*m*m**(-2\/25)*m*m**(2\/31)*m*m\/((m**(-10)*m)\/m) assuming m is positive.\nAnswer: m**(85929\/6200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**4 - 11*o**3 - 11*o**2 + 59*o - 36 = 0. Calculate o.\nAnswer: -9, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/8*(1 + 3))\/(7 + -7 + -3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/6145 and -8\/155?\nAnswer: 190495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5916*c**2 - 5748*c**2 + 2081*c**2.\nAnswer: -9583*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*h**3\/6 + 617663585*h**2\/2 - 247065436*h + 148239262\/3 = 0.\nAnswer: -74119631, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-10\/3)\/m)\/(m*m**(-2\/45))*(((m*(m\/((m\/(m**16*m)*m)\/m))\/m)\/m)\/m)\/(m**(-4\/5)\/m))**(-17\/3) assuming m is positive.\nAnswer: m**(-8806\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 360\/7 + -6106\/119. Let m = -959 + 10551\/11. Which is the second biggest value? (a) t (b) 1\/2 (c) -1 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*r - 317*r = -268. Solve -i - 20 = -6*i + 5*s, -r*s = 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 - f + 1. Let z(m) = -8*m**3 - 11*m**2 + 2*m - 9. Let a be (16 - 4) + -2 + 4. Let b(r) = a*l(r) + 2*z(r). Factor b(p).\nAnswer: -2*(p + 1)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f. Let l(x) be the first derivative of -21*x**2 + 61. Determine m(l(r)).\nAnswer: -168*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 947*d**2 + 753*d**2 + 956*d**2 - 3044*d**2.\nAnswer: -388*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -7*c + 15, 0 = -2*a + 4*c - 136. Let m = a - -94. Let r = -181\/5 + m. What is the second smallest value in r, -0.1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**5\/30 + 17*t**4\/3 - 140*t**3\/3 + 2*t**2 - 1760. Factor q(u).\nAnswer: 2*(u - 2)*(u + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:14 PM and 12:34 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 4*n + 88, -2*s - 32 - 8 = -2*n. Let c = s + 27. Suppose 5*p + 2340000 = c*p. Round p to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2818777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -46*m. Let b(t) = t. Let q(a) = -23*b(a) - h(a). Let j(u) = -2*u. Give j(q(c)).\nAnswer: -46*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-11))**(-50)\/(a\/a**3)**(-13\/4) assuming a is positive.\nAnswer: a**(1087\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341145077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 779*w + 801*w - 1520*w. Let p = 29 + -19. Solve w*n = -4*c - 27, -2*c + 5*n + p = 3*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -d + 6*i - 6, -4*d = -2*i + 10. Let c(q) = 4*q**2 + 4*q - 1. Let j be c(d). Solve -2*s = -j*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -4 (b) 0.5 (c) 1.9 (d) 0.3 (e) -0.2 (f) 8.6 (g) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11000 and 29040.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12946 - 12916. Let i(w) be the second derivative of -3\/16*w**4 - 3\/80*w**5 + s*w + 1\/8*w**3 + 0 + 9\/8*w**2. Factor i(o).\nAnswer: -3*(o - 1)*(o + 1)*(o + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zry when three letters picked without replacement from zvvccvvyvzrvvc.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d. Let y be z(3). Suppose -3*i + 6 = y*u - 9, 4*u = -i + 20. Which is bigger: u or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*t - 33 = 76, -3*t + 15 = 0. Let c = u - 21. Calculate the remainder when 35 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/18 + -43\/126. Let g = -2 - -3. Let y = -489 - -485. Which is the closest to m? (a) 4 (b) g (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 3990713.\nAnswer: -19953565","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, y: 1, v: 3, o: 3, c: 1, p: 6}. What is prob of picking 1 c and 1 o?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1708.23656 - -1739.2365614. Let n = 1646 - 1615. Let b = n - h. What is b rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1514, -1493, -1446, -1355, -1202, -969, -638?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 155623 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c**3 + 60*c - 1. Let k be p(-5). Solve -22 = 24*a + k for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 537 - 276. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of r**4 + 5*r. Suppose -30 + 86 = -8*w. Let h(a) = -11*a. Let f(x) = -5*x. Let k(v) = w*f(v) + 3*h(v). What is y(k(b))?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**3 + 106*f**2 - 56*f - 138. Determine s(26).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*o - 5*s, 3*s + 27 = 2*o - 0*o. Let r = o + -4. Solve -5*p + 4*p + r = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -171402 divided by 24486?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of 13*t**8\/21 - t**7\/105 + t**6\/120 + t**4\/12 + 47*t**3\/2 + 1574*t**2. What is the second derivative of a(k) wrt k?\nAnswer: 4160*k**3 - 24*k**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3454848 and 1295568.\nAnswer: 10364544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, 2, 6, 0.4, 5\/707, 2\/9?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1577 and 28296?\nAnswer: 29873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(7) + sqrt(7)*2 + 5 + sqrt(7)).\nAnswer: 5 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 4:51 AM?\nAnswer: 11:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6\/30 - (-3)\/15*199 and 24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1250 in 0.751, 7, -8, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 + 5 + -13 - -4) + (-2 - -18)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Suppose 2*l - 8 = -g, 0*g + 4*g = 5*l - 20. Sort 11, a, -5, g in ascending order.\nAnswer: -5, g, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 + 3*w + 2481. Let x be 0\/(-1)*(-1)\/(8\/2). Is l(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*m**2*o**2*t**2 - m**2*o**2 + 26*m**2 - 2417*m*o**2*t + 3*o**2 + 38*o with respect to t.\nAnswer: -38*m**2*o**2*t - 2417*m*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/108? (a) 16\/7 (b) -6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 6*y + 4. Suppose 0 = -b + 9*b - 48. What is o(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.1 - -10. Which is the nearest to u? (a) -1 (b) -0.1 (c) 41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v. Let u(n) be the second derivative of -46*n - 1\/6*n**3 - 1 + 7\/2*n**2. What is m(u(h))?\nAnswer: -3*h + 21","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33058 + 33058. Solve 96 + r = -48*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -5) + -5 + (2 - 5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 12:34 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1618 (base 12) to base 4\nAnswer: -220310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 181652 <= 181660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-14)\/k)\/k*k**(-3\/10)*k*(k\/(k\/(k*k**(4\/9))))\/k**2 assuming k is positive.\nAnswer: k**(-1427\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 29*a**2 - 86*a - 206. Let j be r(-26). Sort 0, 3\/49, j, -8 in descending order.\nAnswer: j, 3\/49, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence au when two letters picked without replacement from nnnunau?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -46*x - 2115. Let r be z(-46). Is r not equal to -1\/8189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, 86, 4 in decreasing order.\nAnswer: 86, 4, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112 + -101?\nAnswer: -10220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**3 - 24*o**3 - 2*o**3 - o**3.\nAnswer: -24*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i - 1 = -24*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*c + 14 = -j, 0 = 3*c + 12 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 24*s**2 + 119*s - 3303. Determine l(23).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-103)\/206*(-1 + 1). Sort 3, p, -10, -1 in descending order.\nAnswer: 3, p, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -7. Suppose 5*d + 5 = -5*r, 6 = 4*r - 0*r - d. Sort 2, r, -1, a in ascending order.\nAnswer: -1, a, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 3\/11501?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 230315473*a*h + 548826072*a with respect to h.\nAnswer: 230315473*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 887*m**4 - 1377*m + 5944*m**2 + 1377*m - 326*m**2 + 5613*m**4 wrt m.\nAnswer: 156000*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o. Suppose 2*y = -3*y. Let i(k) be the second derivative of 1\/3*k**3 + 0*k**2 + y + 2*k. Give w(i(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 36 - -31) + 19?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-27)\/(-6))\/(-3)*40\/(-6). Let v = 10 + -6. Solve v*i = -i + n for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 6*q**3 - 2*q**2 - 238*q + 474. What is the remainder when 328 is divided by d(2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114 divided by -809910.\nAnswer: -19\/134985","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2796 and 180?\nAnswer: 41940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-65)\/6)\/65*320\/(-32)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 754309 rounded to the nearest ten thousand?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 16\/(-6))\/((-2)\/(-18)). Let w be ((-10)\/k + (-14)\/(-21))*0. Suppose 5*b + 4 - 489 = w. List the prime factors of b.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 4\/(-3) + 32\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 - -10332?\nAnswer: 10320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 33 - 1 = 0. Suppose -3*s = -c - 46. What is the least common multiple of 22 and s?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c + 7*c + 3*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 172*m - 1436. Give t(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -4*f + 173. Determine p(47).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 + 7*r + 5. Let w be q(7). Let j = w + 13. Factor -l**2 + 3*l**2 + 22*l - j*l.\nAnswer: 2*l*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 920, 1377?\nAnswer: 1834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -340, -692, -1058, -1444, -1856, -2300, -2782?\nAnswer: -3308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-6))\/(120\/240). Let x(f) = f**3 + 13*f**2 + 2*f - 7. Let b be x(-13). Sort l, b, 4 in descending order.\nAnswer: 4, l, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -154*m + 1057. Determine a(4).\nAnswer: 441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4736 + -3648. Calculate the greatest common divisor of p and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*p**4 + 2600*p**3 - 274492*p**2 + 1318200*p - 1046304 = 0. What is p?\nAnswer: 1, 4, 126, 519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*q - 27, -4*i - 2*q - 3*q = -36. Let u(j) = -10 - 3 - j**2 + 3 + i*j. List the prime factors of u(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let o be t(4). Suppose 0 = o*k - 3*k - 3. Solve 2*u = -3*v - v + 10, 0 = k*u - v - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -1 + 6 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1926 + -1919 + (12 + -1 + 1 - 3).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 3*q = 1, 4570*q = 5*i + 4567*q + 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, r: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 0.1, 0, 1\/2, -851\/52 in decreasing order.\nAnswer: 1\/2, 0.1, 0, -2\/5, -851\/52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122000 + 1111002?\nAnswer: 2010002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14? (a) 3 (b) 8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, h: 1, y: 4, e: 8}. What is prob of picking 1 m and 1 y?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7800852 and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 9*o + 7. Let u be q(8). Let v be 9*u\/1*(-16)\/48. Suppose 4*c = v*s - s - 152, -3*c - 80 = -s. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1 - (2 + -3)) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 23 - 2. Suppose -10*p + 0*p = -10. Suppose -5*u + 41 = -4*c, v*u - 16 - p = -2*c. Solve 3*r + 0*r - 18 = u*w, -3*w - r = 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8895.\nAnswer: 3, 5, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/3 - (-56350)\/150. Let o = -373 + t. Solve o = -2*m - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -29*n + 17. Let u(b) = 7*b - 4. Let c(r) = -2*h(r) - 9*u(r). Calculate c(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/120 + q**4\/24 - 5*q**3\/6 + 4*q. Let i(h) be the second derivative of b(h). Is 3 a factor of i(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44664 >= 43969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21397, -21401, -21409, -21421?\nAnswer: -21437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a century in months?\nAnswer: 27000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1334416.\nAnswer: 2, 83401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**4\/24 + 5*w**2. Let j(g) = -13*g + 3. Let o(a) = -25*a + 5. Let x(k) = -5*j(k) + 3*o(k). Calculate t(x(m)).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**3 - 315*a**2 - 980*a - 660 = 0?\nAnswer: -2, -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 + w - 11. Suppose -7*t - 6 = -13*t. Suppose -6 - 2 = -4*y. Let v be -4 - ((-6)\/t + y). Determine n(v).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16073\/38 - 423. Is 0 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaadpddadpp. What is prob of sequence aap?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-2 + (-6)\/(-4)). Solve k - 4 = x, 5*m - 5*k + 1 = -k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119*w**3 + 62*w**3 + 58*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/(-3) + (72 - 83). Which is the closest to o? (a) 0 (b) -7 (c) -4\/5 (d) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (0 - (1 - -2)) - (83 - 86)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 57993 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -434*l. Let k(h) = 3*h + 21. Let o(b) = -8*b - 60. Let s(g) = 20*k(g) + 7*o(g). Determine q(s(t)).\nAnswer: -1736*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 733572 is divided by 146683.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41\/145 - -3\/1015. What is the nearest to -2 in 0.04, i, 2, 0.5?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -1.54, -9\/5?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.47 - -1.97. Let k = 2477488\/5 - 723427377\/1460. Let b = k - -1\/292. Sort -0.5, f, b in descending order.\nAnswer: f, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**3 + 20*w**3 + 15*w**3.\nAnswer: 11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 8 = 2*u, -3*u - 3*s - 2 = -8*s. Suppose 0 = -3*r + 2*z + 19, -z = 3*r - 3 - 1. Suppose r = 3*q - u. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 10. Suppose 0*g - 3*f = -g - 4, -18 = -5*g - n*f. Suppose -g*w + 63 = -11. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -514 + 524. Let y(d) = d**3 - 10*d**2 - d - 1. Determine y(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328136643*d**3*m**3 + 62711*d**2*m**3 - 4*d**2*m**2 - 3*d**2*m + 8*d**2 wrt d.\nAnswer: 1968819858*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*4\/15 + (3213\/85)\/9. Solve -4*d - 24 = 4*c - 60, r*d = 5*c - 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n - 12 = -2 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 90 + 4.923\nAnswer: 94.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (11 + -3)\/((-8)\/(-12)). What is the highest common divisor of g and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 15) in base 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 5*q**2 + q + 4. Let t be 1\/(-5)*(-5 + 0). Suppose c = -d - 9, d = c - 0 - t. Calculate m(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5007 and 477.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57979 is divided by 109.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 4*k - 2*k + (k - 3*k + 0*k)*(1 - 3 + 3))*(242*k + 527*k + 232*k).\nAnswer: -3003*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 29435 and 91669.\nAnswer: 841","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -153\nAnswer: -3.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -31*t + 25. Let g(o) be the second derivative of -11*o**3\/6 + 4*o**2 - 52*o. Let w(v) = -11*g(v) + 4*p(v). What is w(10)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4317.833 litres in millilitres?\nAnswer: 4317833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 5*f + 4. Let n(z) = -z**3 + 4*z + 3. Give -4*n(i) + 3*x(i).\nAnswer: i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -32a6b3?\nAnswer: 32a6ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z - 5*n = 10, 0 = 3*z - 5*n - 12. Let u(h) = h + 2. Let l be u(z). Which is the biggest value? (a) -3\/8 (b) -2 (c) 5 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (66\/(-15) - -5)*-5. Put -0.3, m, -0.6, -2\/7 in descending order.\nAnswer: -2\/7, -0.3, -0.6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30585 and 452658.\nAnswer: 2263290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17 - -16)*(-5 + 2). Solve -f*d = 5*a - 7, -4*a - 5*d + 2 = -1 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 19*a = -7659131 - 6668699. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)*s\/(s*s\/s**5*s*s))\/((s*s\/s**(-1\/5))\/s)**(-20)*(s**(10\/7)\/s**(-15))**(-3\/8) assuming s is positive.\nAnswer: s**(1069\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**18)\/h)**(2\/3)\/(h\/(h\/(h*h\/((h*h**38)\/h)))*(h**(3\/22)*h)\/h) assuming h is positive.\nAnswer: h**(1053\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 + 55. Suppose w = 2*o - 130 - 118. Suppose 81 = 5*s - o. Is s a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 2)\/3 - -6. Let w be 2 + -7 + 34\/m. Let l be (6\/20)\/(2\/(-5)). Which is the third biggest value? (a) -0.1 (b) l (c) -0.4 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-14 - 1009\/(-72))*-194 and 17\/870.\nAnswer: 5220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/20 and -43\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28*j**2 + 115 - 2*j**3 - j + 2*j - 137 wrt j?\nAnswer: -12*j - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*c**4 - 147*c**3 + 3*c**2 + 334*c + 2?\nAnswer: 144*c - 882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*u**2 - u + 6*u - 15*u**2 + u.\nAnswer: -41*u**2 + 6*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14108 + 5132 = -22*y. Is y a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -10*n**2 - 8*n + 8. Let v be u(1). Let t(y) = -y**3 - 12*y**2 - 15*y + 48. Let m be t(v). Let c(i) = -4*i - 5. Determine c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2. Let c(d) = -48*d**2 - 2329 + 2329. Give b(c(y)).\nAnswer: -2304*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5838\/(-3892))\/((-14)\/(-52)).\nAnswer: -39\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 p, and 1 f when four letters picked without replacement from ppttpfpttp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.2, 0.23 in decreasing order.\nAnswer: 0.23, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/((-1190)\/(-102))*(-10)\/(-1)?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 32*l**5\/7 - 462032*l**4\/7 + 238202222*l**3 + 2503982694*l**2\/7 - 6568958160*l\/7 + 2814933600\/7 = 0?\nAnswer: -3, 3\/4, 7220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 5 - 2 - 11*o + o + 0*o + 0*o - 3 - 2*o + 3 + (3 + 0 - 2)*(3*o - 2*o - 2*o).\nAnswer: -13*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -449080 (base 13) to base 8\nAnswer: -6132535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56120106?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22570253.\nAnswer: 22570253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*y + 112*y - 38*y - 35*y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51821*f**4 - 18*f**3 + 746131*f.\nAnswer: -621852*f**2 - 108*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3552666.51 rounded to the nearest one hundred thousand?\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2. Let k(m) be the second derivative of 3*m**4\/4 - 224*m. Give k(h(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/x**0)**(-3)\/(x*x\/x**1)**0 assuming x is positive.\nAnswer: x**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k**3 - 11*k**2 + 6*k + 3. Let t be x(-6). Let i = 0.087 - -3.613. Let a = 4 - i. Put a, -1\/2, t in increasing order.\nAnswer: -1\/2, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022*z - 2198 - 382 = 5596 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (157*d - 157*d + d**3)*(d + d - d) to o*d**2 + m*d**4 + h*d**3 + c*d + s and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m, 1 q, and 1 t when four letters picked without replacement from mxttqtxxamm.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 137 = 129 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 21*r - 18*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*n**3 - 80*n**3 + 43*n**3.\nAnswer: 65*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 675, 0 in decreasing order.\nAnswer: 675, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(52) - (-1 + sqrt(3328)))**2 - ((2*sqrt(39)\/sqrt(3))**2 - (2 + sqrt(13)*1)).\nAnswer: -27*sqrt(13) + 2499","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(1\/(-6)*-2). Let m be 6\/(-45)*x*40 - -1. Suppose -m*k + 1151 = 216. Calculate the remainder when k is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.008306l in millilitres?\nAnswer: 6008.306","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*j - 3 + 8, 3*u + 9 = 0. Suppose -5*d - 10 = j*a, -2*d + 4*d - 2*a - 10 = 0. Solve -4*x + 3*h - 32 = d, 4*x - 3*x = 2*h - 13 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14204988 divided by 84.\nAnswer: -169107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 478848.6 from -5.\nAnswer: -478853.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.5396173 + -7667092.\nAnswer: -7667095.5396173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4596793015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5283 = x + 5337, x + 19 = 4*v for x.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 693703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3789, -7736, -11697, -15678, -19685?\n\"Answer: -m**3 - m**2 - 3937*m + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.011 (b) 0.1 (c) -10 (d) -2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 15*j - 44. Calculate x(-18).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 12*f + 23. Let y be q(10). Solve a = -7 + y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 5. Suppose -2*i = -2*o, -34*i + 5 = -39*i. Put o, -2, q in descending order.\nAnswer: q, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 325*a - 2. Let f(d) = 81*d**2 + 2*d. What is f(t(n))?\nAnswer: 8555625*n**2 - 104650*n + 320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + 2*l + 0*l)*(-3*l - 2*l + 4*l) - 2*l**2 + 0*l**2 + 3*l**2 + 414*l + l**2 - 586*l + 12153*l to b + h*l + g*l**2 and give h.\nAnswer: 11981","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -287.1 and -20.\nAnswer: 5742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 1 + 1*3. Suppose -h - 2 = -a - 0*h, 0 = 4*h. Sort z, -3, a in increasing order.\nAnswer: -3, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 13 + 1 + (-2 - -2). Suppose 3*q + b = -1. Let o(y) = -y**3 - 7*y**2 + 9*y + 6. Let c be o(-8). Sort 0, q, c in descending order.\nAnswer: 0, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17687 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: Is 115129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 141871348 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 - -3655\/13. Let u(s) = s**3 - 2*s - 4. Let q be u(2). Factor -a*n + q + 0*n**2 + 2\/13*n**3.\nAnswer: 2*n*(n - 1)*(n + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 - 10022120313?\nAnswer: -10022120330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1232 - 1231.5. Let j = -1.2 + 1. Let h = 0.1 + j. Which is the smallest value? (a) -1\/3 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105*q = 55*q - 320. Factor -8\/3 + 16\/5*a + 2\/15*a**3 - 6\/5*a**q.\nAnswer: 2*(a - 5)*(a - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -762936091*r - 354562466?\nAnswer: -762936091","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-55771221.\nAnswer: -27885610.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220120 - 20001002?\nAnswer: -12010112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6\/15*-1*7\/(-14)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -1254.07 and -992065.\nAnswer: -993319.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 362 = -15*n + 467 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19153, -38305, -57457, -76609, -95761, -114913?\nAnswer: -134065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25796 + 25513.61. Let z = -284 - f. Let w = z - -1.6100073. What is w rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d**2 + 3*d**2 - 4*d**2)*(1 + 2610418*d + 2*d**3 - 26*d**2 - 2610418*d).\nAnswer: 4*d**5 - 52*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -29514 divided by 2\nAnswer: -14757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 AM and 4:21 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 17*w**2 - 16*w + 5. Let i be g(16). Let t be i\/(-5) + 1 - 100200. Round t to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6020 and 8815?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00010010886 rounded to seven decimal places?\nAnswer: 0.0001001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3021*c - 2187206. Determine l(724).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 429 = -4*u, 4*c - 1694 = 4*u + u. Is -2 - 0 - c*7\/(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -30 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*g**3 - 62*g**2 + 5*g**2 + 21*g**3 wrt g?\nAnswer: -294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -2*j - 26, 3*j = -11*d + 13*d - 34. Let v(o) = 4*o**2 - 6*o + 2. Let u(b) = -b**2 + b. What is j*u(w) - 2*v(w)?\nAnswer: 4*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 15*i**3 + 0 - 1 - 12*i + 11*i**2 + 1. Let w(n) = -5*n**3 - 4*n**2 + 4*n. Let z(j) = 4*c(j) + 11*w(j). Find the second derivative of z(a) wrt a.\nAnswer: 30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 7, -4, 1\/3, -0.1 in descending order.\nAnswer: 11, 7, 1\/3, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.411267553 rounded to 3 dps?\nAnswer: -1.411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 - 12. Calculate the remainder when ((-6)\/3)\/2 + 62 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 28\/3 or 10?\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1558, -2603, -2526, -763, 3250, 10077?\nAnswer: 20282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ueeg when four letters picked without replacement from {j: 2, g: 5, e: 1, u: 8}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 0 + 9 + 2*c - 7. Give u(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 41 = j, 5*j - y - 40 - 35 = 0. Let a(i) = i**2 - i + 13. Let s be a(5). Let d = 35 - s. What is the highest common divisor of j and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 85?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23424 + 5\nAnswer: 23429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = -10*i + 7*i. Let d = -3 + 7. Let j be 18 + d\/(-4)*3. Calculate the greatest common divisor of i and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1350, 5967, 13858, 25023, 39462?\n\"Answer: 1637*w**2 - 294*w + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 13 = -l. Let f(c) = -c**2 - c + 8. Let o be f(0). Let n = l - o. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/17, 4, -2486?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 7*w - 7. Let n(t) = t**2 - 2. Let v be n(2). Suppose 31 = 7*o - v*o - 2*x, -o + 3*x = -14. What is the units digit of i(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ytyyytttty. Give prob of sequence yyyy.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1576170.\nAnswer: 2, 3, 5, 83, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -11. Let r be x*(2 - (1 - -2)). Solve 30 = 3*j - 5*g, 0*j = 5*j + r*g - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31 and 85\/3758.\nAnswer: 3758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6838 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -10*y**2 + 2 - 16*y**2 - 2 + 33*y**2 - 3*y. Let l(k) = -12*k**2. Give o(l(d)).\nAnswer: 1008*d**4 + 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 4, 52, 2 in decreasing order.\nAnswer: 52, 4, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 104 - -5?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 - 2*t**2 + 3*t - 3. Let j be r(2). Is 5\/2 greater than or equal to j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/17, -1.32, -0.5?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67542, 135101, 202660, 270219, 337778?\nAnswer: 405337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -z**2 - 1662*z - 268981.\nAnswer: -2*z - 1662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8082309.\nAnswer: 3, 2694103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 1 = -9. Let n(h) = -h**2 - 8*h - 3. Let d be n(-7). What is the third derivative of 2*q**4 + 3*q**z + 2*q**4 - 5*q**d wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24290212, 24290207, 24290202?\nAnswer: 24290197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.454 + -5.53. What is u rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 486707439 to the power of 1\/3, to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5787, -7079, -9225, -12225, -16079, -20787?\n\"Answer: -427*o**2 - 11*o - 5349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4440.137 decades to years.\nAnswer: 44401.37","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 52526, 52554, 52598, 52658, 52734?\n\"Answer: 8*w**2 + 4*w + 52514","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.62 + -16.58. Let t = f + 22.2. What is the nearest to 5\/4 in -0.4, -0.1, t?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3 - 39*b**2 - 444*b + 480.\nAnswer: 3*(b - 20)*(b - 1)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 698 and 118?\nAnswer: 41182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - a**4 + 4)*(16 + 8*a - 16) + (a - a + a)*(a**4 + 0*a**4 + a**4) + 3*a**5 + a**3 - a**3 + 3*a**4 + 6*a**5 - 3*a**4.\nAnswer: 3*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t. Let m be (-3)\/(-12) + 9\/(-4). Let p be (2 + -2)*(3 + m). Let z(d) = p*d - 3*d + d. What is y(z(l))?\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 133 in 0.2, 5, 2, -1\/2, -9\/31?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*q + q**2 - 20*q + 12*q**2.\nAnswer: 13*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17\/10 of a century?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 38, 0.4, -8, 0.16, -2\/9, 1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-14) + (-112)\/49. Sort 4, l, -1 in decreasing order.\nAnswer: 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t = 5*t. Suppose s + 4*s = t. Suppose 0 = -4*i - s + 8, 3*d - i = 97. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 103, 107, 119, 145, 191?\n\"Answer: w**3 - 2*w**2 + 3*w + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -503 + 6378. Let r = -2684 + t. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 + -44. Is 14\/56 + 34971\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gf when two letters picked without replacement from wwfdwdwwdwwydygffww?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) - 1*sqrt(343)) + -4 - sqrt(343).\nAnswer: -7*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58656516 + 58657296 = 26*b for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 795 divide 125336520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = o, 3*o + 4 = 2*w - 0*w. What is the remainder when 3 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - v**2 - 13*v - 8. Let q(n) = -5*n**3 - 3*n**2 - 25*n - 16. Let p(u) = -7*j(u) + 4*q(u). What is the remainder when 106 is divided by p(7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*sqrt(32))**2 + sqrt(32) - (sqrt(972)\/sqrt(6))**2) + (-1 + sqrt(162) + sqrt(162) + 5 + -3)**2)*-2.\nAnswer: -1998 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n = 13540 - 12235 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/13, 0.012, -1\/4, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -325310 and -5.\nAnswer: -325315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4329413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 52\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 4*c**2 + 3*c - 3. What is m(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150099 is divided by 81?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43 + 1492*i + 39 + 30 - 112 to the form y + n*i and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - (-9 + (5 - (15 + -6))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -44*u - 2686. Give m(-40).\nAnswer: -926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**2 - 62*k - 3 + 62*k in the form s*k + f*k**2 + o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - 81\/(-15)) + 12\/20. Let n be (12\/60)\/(2\/(80\/(-12))). Let l = 0.3 + -0.2. Which is the closest to n? (a) m (b) l (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1638\/54)\/(-13) + 2 + 1. Let x = 9 + -6. Suppose -f + x = -2. What is the closest to 0.1 in f, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*r - 4*i, -4*r + 141*i = 145*i - 36. Solve 11*a + r*a = 18 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1613152748 and -3.\nAnswer: 1613152745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/6*12\/(-1))\/(-2). Let g = 8 - k. Does 19 divide 2\/(-4) + 542\/g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 + b**2 + b - 6. Let c be v(0). Let f = c - -6. Let k = -4643\/22 - -211. Is k > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-71 - 24 + 5 + (4 + 0 - 6)*(2 - 1 + 1))*(-1 + 4 + 0)*(3 - 1 - 5) + 0 + 0 - 1)*(-4 + 4 + 1)*(-4*h + 3 - 3) to the form g*h + f and give g.\nAnswer: -3380","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4951538?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -41073, -82129, -123185, -164241, -205297, -246353?\n\"Answer: -41056*b - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -72? (a) -4 (b) -2\/13 (c) -0.5 (d) -1 (e) -41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + 9 = 3*w, 0 = 229*w - 232*w - 44*x - 132 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13989, -14068, -14177, -14316?\n\"Answer: -15*a**2 - 34*a - 13940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7 rounded to 1 decimal place?\nAnswer: 4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*z - 2\/3*z**2 - 32\/3 + 4*z**3 - 2\/3*z**4.\nAnswer: -2*(z - 4)**2*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -120 + b7?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 215 - 124. Calculate the greatest common divisor of 13 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3233461322 a multiple of 945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 25 - 3 + 68*v - 4 + 5 as g + q*v and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-179928)\/(-153))\/(-42) - (-146)\/10.\nAnswer: -67\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 6, 165, 7 in increasing order.\nAnswer: -1, 6, 7, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66657 and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/25 of a centimeter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 14 = -5*h + 21, -3*a = 4*h - 25 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 993189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of a**6\/120 + 29*a**5\/20 + 2989*a**4\/48 - 3721*a**3\/4 - 1405*a. Factor c(q).\nAnswer: q*(q - 6)*(q + 61)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(324\/(-159) + 2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 290458737.6 to the nearest 100000.\nAnswer: 290500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 8*x**2 - 4*x + 49. Let w be o(-9). Find the second derivative of 65*s**3 + 4*s + w*s + 1 + 4*s + 267*s**3 wrt s.\nAnswer: 1992*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 901*m + 3. Suppose 0 = 5*g + 20, -6*h + 4*g = -3*h - 7. Let f be b(h). What is f rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 8 = -0*f + 4*f, -f = -2*y + 8. Which is the nearest to 0.09? (a) -2\/5 (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 i when four letters picked without replacement from aiaaaiaianaaaiin?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/12 + 506\/161 + 17745\/980?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7\/2 + (-10)\/20 and 11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 280 - 300 = 0, 3*p + a = 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 4, -30, -2.\nAnswer: -30, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 + (-9)\/(-3 + 6). Let q be p\/4 + (-49)\/(-28). Let f(d) = d**2 - 10*d + 12. Let s be f(9). What is the highest common factor of s and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 4. Let k be s(-2). Suppose -5*c + k*c - 39 = -3*y, -3*c - 51 = -4*y. Suppose -7*b - 220 = -y*b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 + 14*h + 18. Let u be w(-12). What is the units digit of (-16)\/(-4) + u - -7 - -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -i - 0*i, 4*i - 32 = -3*y. What is the greatest common factor of y and 432?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 9:46 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 7*f**2 + 67*f - 15. Let i(q) = 33*q - 19. Let h be i(0). Calculate the remainder when v(h) is divided by 73.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 11:57 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 855732.3 centuries?\nAnswer: 8557323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**2 + 5*z + 6. Suppose -11 = -q - 15. Let o be m(q). Let s = -58 + o. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 607, 1159, 1709, 2257?\n\"Answer: -f**2 + 555*f + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**6 + l**4 + 96024372*l**3 - 173*l**2 - 1532528*l.\nAnswer: -240*l**3 + 24*l + 576146232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 374664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 494 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 85. Solve -r = -5*g - 25, 2*g + m*r + 1 + 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 0, 0 = 4*p - 18*y + 19*y - 59. Solve -p*q - 135 = -41*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 2)*36\/(-5). Let i be (-3)\/1 - (190 - 4). Let w = i + 207. What is the greatest common factor of w and f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 363021413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8805*a. Let n(c) = 22231*c**2. Calculate n(h(u)).\nAnswer: 1723525523775*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of 293*j**3\/2 + 38*j. Let a(z) = -z. Calculate a(m(o)).\nAnswer: -879*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 12:13 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06685 to three dps.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 13, 3\/7, 1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 11*r - 22. Let z be v(8). Let s = 10 - 6. Suppose -2*q + 1 = -g + 2*g, 0 = -s*q + 3*g + 17. Solve 0 = y + 2*h, q*y - z*h = -4*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8164703 by -6.\nAnswer: 8164703\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*n - 2 - 1, o = -1. Let d be n\/(-4) + (-219)\/12. Let b = d + 21. Which is smaller: b or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-3)\/42*-1)\/((-2)\/(-12)). Let s = 42 - 79\/2. Which is the smallest value? (a) 6 (b) q (c) -0.4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1 - 7) + (0 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + -2 - (-6 - (7 - 9))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 11. Let p = 21 + 1. Let v(t) = -6. Let j(o) = -1. Let b(w) = -5*j(w) + v(w). Calculate p*b(a) - 2*n(a).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t**2 + 3 - 2 + 0 - 3*t + t. Let w(y) = 8*y**2 + 5*y - 1. Let o(u) = 5*r(u) + 2*w(u). What is the derivative of o(k) wrt k?\nAnswer: -8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191565157.\nAnswer: 7, 558499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 1784.\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14 times 57738446\nAnswer: -808338244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 - 90*f**3 - 972*f**2 - 3078*f - 3159.\nAnswer: 3*(f - 39)*(f + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 365881*u**3 + 1282*u**2 - 1235544105?\nAnswer: 1097643*u**2 + 2564*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 12. Let c = -188 + 203. Let g be k(c). Solve -f - g*f = -16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 bigger than -30238\/6029?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w = 30*y + 3025, 6*w - 9*w + 5*w = 5*y - w + 520 for y.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (31 - (27 + -8)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w. Let k(r) = -2*r**2 - 6 - 16 + 17. Determine t(k(g)).\nAnswer: -4*g**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (142*c - 66*c - 34 - 73*c)*(6 - 3 - 5)*(0 - 2 + 4)*(1 - 5 + 3)*(2*c + c**4 - 2*c).\nAnswer: 12*c**5 - 136*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y + 108*y + 229*y.\nAnswer: 363*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19258800*y*z**6 - 8*y*z**2 - y*z - 18*y + 3*z**2 + 7*z + 9 wrt z.\nAnswer: -2311056000*y*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5501272 is divided by 471?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.55 + 109032033?\nAnswer: 109032037.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(8*o**2 + 12*o + 12*o - 27*o) + (0 + 0 + o)*(-o + 4*o - o) + 0*o**2 + 2*o**2 - o**2 - 5*o**2 + 5*o**2 + 2*o**2.\nAnswer: -11*o**2 + 6*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -5, -2, -2\/5 in descending order.\nAnswer: -2\/5, -2, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1646007547?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 1:45 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 - (39 + -23 + 5).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -148 + 206*t - 424 - 205*t + 66 + 22 to f + b*t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/411672 and 81\/74375408?\nAnswer: 223126224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 18038557 to the power of 1\/3, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of p**5\/20 + 9*p**2. Let g(c) = 3*c**2. Determine g(f(j)).\nAnswer: 27*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n = 5*n + 187. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 100 - 50. Let u = 144 + b. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = -13*x. Let y be 2 - x\/(2 + 2). Is y equal to 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221910.6 millennia in months?\nAnswer: 2662927200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + 5*k**2 + k - 3. Let n be l(2). Solve -22 = 4*a - n*y, 3*a + 2*y + 14 = 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o + 246 = s, 0 = -2*o + 10. Let h = s - 162. Calculate the remainder when h is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -0.33. Let v = 417.3 - 33.3. Let t = -385 + v. Put -2, g, t, 2\/25 in decreasing order.\nAnswer: g, 2\/25, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (21 - -11) + -69 + 88?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**2 + 20*y - 47*y + 29 + 25*y + (0 + 2 - 1)*(0*y**2 + 2*y**2 - y**2) + 11*y**2 - 8*y**2 + 4*y**2 + 2*y**2 + 0*y + 0*y.\nAnswer: 12*y**2 - 2*y + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/5, -3.265, 83.02, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 - -4. Let k = -4 - -9. Suppose -5*q + 22 = -4*c, 19 = -q + 3*q - k*c. What is the greatest common factor of j and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -1140915 - 2*w + 1140915. Suppose -2*h + 2 = 0, -2*l - h - 3*h + 22 = 0. Let q(f) = -21*f**2 - 14*f + l*f + 5*f. What is q(c(u))?\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -4*(sqrt(77) + (sqrt(77) - (sqrt(77) + -1*sqrt(77)))))\/(-5*((sqrt(44) - sqrt(11)) + sqrt(11))) - (0 + -2*sqrt(343)*1)**2.\nAnswer: -1372 + 7*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 73\/3 of a hour?\nAnswer: 87600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, 293, 23, -62 in decreasing order.\nAnswer: 293, 23, -1, -3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 * -526.56\nAnswer: -1842.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2509142479 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z = 2*m - 6, 2*z - 3 = -m. Let k be m*((-16)\/(-6) + -2). Suppose j - k*c - 3 = 0, -4*c - 6 = 4*j - 54. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 805943956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 6:52 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*l + 2 - 1 + 0 + 0 to m + i*l and give i.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20875214.\nAnswer: 2, 23, 31, 14639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10744 - -18542. List the prime factors of n.\nAnswer: 2, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 4*j - 3*j)*(-2 - 1 + 4)*((-2 + 0 + 4)*(3*j - j - 3*j) - 3*j - 10 + 10 - j - 2*j + 4*j).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 38*g - 9. Does 39 divide z(-20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 294711?\nAnswer: -294709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 41 - 4*s - 41 - 5*s.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 313\/212 + -77\/106. Which is the closest to n? (a) -7 (b) -0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3144*j = -2443*j + 31545 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a centimeter in micrometers?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64 = 10*t - 54 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 3 - 12\/12. Let l(p) = -p + 4. Calculate l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 5, a: 7}. Give prob of sequence aa.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of -n**6\/30 + 4*n**5\/15 + 7*n**4\/6 - 20*n**3\/3 + 11*n**2 - n + 39. Let z(d) be the first derivative of p(d). Factor z(a).\nAnswer: -4*(a - 5)*(a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 5*b - 95. Calculate a(16).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3*f - f + (3 - 3 - 1)*(2*f + 2 - 2))*(4 - 1 + 2)*(-2*f - 2*f + 3*f)*(f + 0*f + 0*f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24823542.\nAnswer: 2, 3, 59, 70123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(3\/5))\/t**(2\/13))\/(t*t**(-1)\/t*((t\/(t*t\/(t*t**(-2\/17))*t))\/t)\/t) assuming t is positive.\nAnswer: t**(4822\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.890612 less than 1.2?\nAnswer: 12.090612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v + v - 2*v**5 + (-2*v**3 - 2*v**3 + 5*v**3)*(v**2 + 3*v**2 - 2*v**2) - 1974*v + 1974*v - 114*v**5.\nAnswer: -114*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52029 is divided by 8662?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21298 * -72\nAnswer: -1533456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.697622 to two dps.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21495\/37 + 581. Let q = -2\/97 + -164\/1455. Which is the second smallest value? (a) t (b) -5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = 14*j + 102 - 52 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6695896, -6695887, -6695878, -6695869, -6695860, -6695851?\n\"Answer: 9*k - 6695905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 divided by -84104.\nAnswer: 17\/42052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 4*c**2 - c. Suppose y + 2 = -0*y. Let m be -2 + y + 2 - 1. What is w(m)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/4 or -781?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 c when two letters picked without replacement from egggcegcege.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/9))**(-27)*w\/(w\/w**(-6))*w*w*w*w**1)**(-50) assuming w is positive.\nAnswer: w**(-200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*i - 136 = 27*i - 2278. Solve 0 = -3*g - 14*g + i for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) - ((sqrt(119) + 2*sqrt(119))*-4 - sqrt(119)) - (sqrt(119)*2*6 + sqrt(119)))\/((sqrt(448) + -1*sqrt(448) - sqrt(448))*6).\nAnswer: -sqrt(17)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 5. Which is the third smallest value? (a) 3\/2 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184752421*c**3*g - 2*c*g - 12383914*c wrt c.\nAnswer: 1108514526*c*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194123 or 14947461\/77?\nAnswer: 14947461\/77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13344962 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*c + 771 + c**3 - 5*c - 771.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 840 = -o. Is 16 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 33 = 4*u. Let z be 5\/1 - (1 - -1). What is the greatest common factor of u and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-3 + (sqrt(153) + -2 - (2 + sqrt(1377)))**2).\nAnswer: 192*sqrt(17) + 2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -65 + 134. Let v = 61 - q. Let a(o) = o**3 + 8*o**2 + 2*o + 8. Calculate a(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 1:14 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -10*k - 10. Let n(w) = -10*w - 9. Let p(v) = -6*n(v) + 5*z(v). Is p(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24146666 (base 7) to base 8.\nAnswer: 10140275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmeeemmm. Give prob of sequence me.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 16. Let h be c\/27 + (-8258)\/(-18). Suppose 2*p - 153 = h. Is 46 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1991 by 1.\nAnswer: -1991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**3\/3 + 459734752*a**2\/3 - 13209753097016084*a\/3 + 26419504355093192\/3.\nAnswer: -4*(a - 57466843)**2*(a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2015.\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, 3, -8 in increasing order.\nAnswer: -8, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33038 + -12853. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63892*n + 3 - 3 + 89564*n.\nAnswer: 153456*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 + 18*f**3 + 4*f**3 - 13*f**3 + (-3 - 3 + 7)*(2*f**4 + 4 - 4) + f**3 - f**4 - f**3 to the form p*f**2 + x + c*f**4 + m*f**3 + t*f and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -757664*g**2 + 1515316*g + 24.\nAnswer: -4*(g - 2)*(189416*g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 18*m - 3983*m**2 + 2000*m**2 + 27 + m**3 + 2000*m**2. Calculate y(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -1\/24*b**4 + 0*b**3 + b**2 - 1\/60*b**5 + 0*b + 0 - 1\/720*b**6. Let k(i) be the second derivative of q(i). Determine k(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-38))\/(u**(-25)\/u*u))\/(u\/u**(7\/5)*u**(5\/9)) assuming u is positive.\nAnswer: u**(2918\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c573 - 4?\nAnswer: -2c577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*a + 10 = 0, -6 = -7*l + 4*a - 18 + 27 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 2*r - r)*(3*r**2 + 0 + 0) - 2*r**3 + 2*r**3 + r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 3*b**2 + b + 3. Let u be m(-3). Let x = 64 - u. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -788, -358, 60, 460, 836, 1182, 1492?\n\"Answer: -d**3 + 437*d - 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82651416 is divided by 121.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1264, -2526, -3788, -5050?\n\"Answer: -1262*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -2*b + 80. Let u = b - 42. Let z = 74 - u. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-2)\/(-4))\/(2\/(596\/(-18))) and -70\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.9 less than 286839?\nAnswer: 286844.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 205 + -c?\nAnswer: 1d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 286 - 194. Let k = 90 - h. What is the closest to k in -2\/7, 0.3, 2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51 + -72. Let l = 35 + i. Suppose l = 2*t + 3*t + 4*u, -26 = -3*t + 2*u. Solve 0 = -3*a + a + t for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4328 + 26087\/6. Let t be 26\/30 + -1 + 77894\/558105. Let q = t - -62803\/10264. What is the common denominator of q and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, l: 2, m: 6}. What is prob of sequence ttlm?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*n - 6*n + 368 = 0. Let w(l) = -l**3 + 8*l**2 - 3*l + 4. Give w(n).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.502 - -1.502. Which is the third smallest value? (a) -3 (b) -1\/11 (c) 0.11 (d) -2\/9 (e) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 - 26\/(-3). Let d = 15 - h. What is the highest common divisor of 56 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/10)\/(4\/(-10)). Let o be (m - 2) + (-6)\/2. Let f = -1.12 - -0.12. Which is the nearest to f? (a) 5 (b) 1\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-10))\/(7\/(140\/16)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -18. Let t = l + 29. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 147 = g, 0 = -2*m + g + 4*g + 115. Suppose 4*a - 4*x - 924 = 0, 4*x - 667 = -4*a + 209. What is the greatest common factor of a and m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**5\/20 + b**4\/4 - 7*b**3\/6 - 4*b**2 + 9*b. Let q be z(-4). Solve 0 = -q*d - 3 - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/(1\/((-4)\/5))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -5*l**4 + 7*l**2 - 3*l. Let n(w) = 2*w**4 - 2*w**2 + w. Let y(a) = -2*b(a) - 7*n(a). What is the second derivative of y(r) wrt r?\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.3 - 0.3. Let c = 1.7 - 2.3. Let w = c - -0.7. What is the fourth smallest value in -0.4, -16, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and -25842.5?\nAnswer: 1550.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/71, -58, 1.8, -2\/13 in increasing order.\nAnswer: -58, -2\/13, 2\/71, 1.8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 92, 86, 78, 68, 56, 42?\n\"Answer: -y**2 - 3*y + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 379 - 375. Suppose d*p - 10*a + 7*a = 48203, -4*a + 12027 = p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37404616.91 take away -1341?\nAnswer: 37405957.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 30368449217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (12\/10)\/((-3)\/15). Let v = f - -2. What is the units digit of 6*(64\/(-6))\/v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1d6 (base 16) in base 2?\nAnswer: 111010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3131 times 1?\nAnswer: -3131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224815 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m)**6*(m*m\/(((m\/(m*m\/(m*m**(2\/9))))\/m)\/m))**(-41))**(-3\/31) assuming m is positive.\nAnswer: m**(1448\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -43423001 (base 5) to base 4.\nAnswer: -1123023331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 912\/(-39102)*-49*7\/(-12)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (93\/6)\/((-4)\/8). Let f = 31 + u. Let j be 7 - 10 - 0\/3. Put f, j, -5 in ascending order.\nAnswer: -5, j, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 2*c - b + 10 = 0, -3*b = -3*c - 18. Let q be ((-4)\/c + -3)*-4. Let n be -3 + 2 + 0 + q. Solve -2*d + 4*l - 22 = 0, -3*d + 0*d = n*l - 3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -11 + (-784 - -787) - (-12 - 0)) + -89.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 3. Suppose -4*t = -5*h - 6*t + 19, -3*h + t = -18. Calculate a(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 347*n + 6629 - 730 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -5*c**6\/6 - 22*c**3\/3 + c**2 + 39. Find the third derivative of u(t) wrt t.\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*w + 48. Calculate the remainder when w is divided by 23 + 4\/(-8)*10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106000\/(-75525)*6\/10*(-3)\/(-6)?\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7820608 is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-2)*(-24)\/(-18). Suppose 0 = -2*i + l - 2. Suppose -i = -0*h + h. Let v(j) = -j**2 - 7*j - 5. Give v(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 465 = 5*b + 125, 4*b - 272 = 5*p. Suppose -76*a + b*a + 40 = 0. What is the remainder when 18 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 428.707 - 2471\nAnswer: -2042.293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, w: 10}. Give prob of sequence wwe.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.242 and -0.17608.\nAnswer: 0.04261136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + 2*l**2 - 3551*l - 3569*l + 14275*l - 3551*l - 3574*l.\nAnswer: -l**2 + 30*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*a - 5*p, 9*a + 4*p = 7*a - 22. Let k be (a\/(-5))\/((-17)\/10 + 2). Solve 0 = -k*g - 4, 3*z = 2*z - g - 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v - 451 - 477 = 0. Let h = v + -119. Let z be (-3)\/(((-2)\/h)\/((-4)\/6)). Solve -j = z*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 0. Let b be 3*2\/(-8) - (-202824)\/(-672). Let o = b + 302. Put o, y, 2 in decreasing order.\nAnswer: 2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 53, 126, 231, 368?\n\"Answer: 16*u**2 - 7*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 2)*(-4*o + 2*o + 3*o)*(-9*o**2 - 10*o**2 - 13*o**2) - 4*o + 4*o + 2*o**3.\nAnswer: 34*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5156699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40425, 40433, 40447, 40467?\nAnswer: 40493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 917575106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 5*z**2 - 17*z + 1. Give n(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 5, q: 8}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - -3. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-7)\/56)\/(231\/(-396)))\/(-3)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((z\/(z*(z\/((z*z**(2\/19))\/z))\/z))\/z)\/z*z)\/z*z*z**(-5)*z)\/(z**(1\/4))**26)\/((z**(2\/3)\/z)**(-5\/12)*z*z**0\/z*z*z**5) assuming z is positive.\nAnswer: z**(-11993\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 3. Let l be ((-4)\/10)\/(c\/15). Suppose -l*q + 4*q = -2*p + 2, 4*p - 3 = -5*q. Put 3, p, 5 in descending order.\nAnswer: 5, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3, 0, -1\/16, -1\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -31, -1243, 4 in descending order.\nAnswer: 5, 4, -3, -31, -1243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6395 - -6411. What is the remainder when 12927 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (114\/665)\/((-2)\/(-10)). Sort h, -0.1, -5.\nAnswer: -5, -0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 1370*m**3 + 1318*m**3 - 2694*m**3.\nAnswer: -6*m**3 - 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a century in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - -44314004?\nAnswer: 44314023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-7) + (-270)\/63.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 37*q**7\/105 + 247*q**3\/6 - 346*q**2. What is the first derivative of w(l) wrt l?\nAnswer: 296*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46228, 46062, 45888, 45700, 45492, 45258, 44992?\nAnswer: 44688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5663988*y - 5663983*y = -240 for y.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h + 151. Determine u(16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38450.\nAnswer: 2, 5, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - (-34 - -17)) + -50?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 1\/43?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 2. Let l = -2 + y. Let q be (1\/(-1))\/((-5)\/(-10)). Is q less than or equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*z - 2. Suppose z*i - 259 = 2*d - 0*d, -419 = -5*i - 3*d. Let t = 137 - i. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232740 (base 10) to base 9.\nAnswer: -384230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 1 + 1 + 10 + 35 + (-12 - 9)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k\/(k\/k**(2\/3)))*k*k))\/(k*k*k**7\/k))**(-35)\/((k*k*k**(-2\/5)\/k*k*k)**7*k\/(k\/k**(-1\/4))*k**(-4)) assuming k is positive.\nAnswer: k**(18763\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (36 - (-26 - -49)) + -26\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -985.\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -31 and -165 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5957664\/56 - 3\/(1 + -22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05328*24.\nAnswer: -1.27872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12767489 is divided by 4255821?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26 and 33901140.\nAnswer: 33901140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-22))\/((-2013)\/(-66429)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.4, 10, 0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2\/17 - 16*z\/17 - 30\/17 = 0.\nAnswer: -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29477705 - -0.3?\nAnswer: -29477704.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 24 = 4*i + 4*u, -5*u = -2*i + 23. Suppose 0 = -n - n + 4. Let t be 0 + (n - 0)*3. Solve 2*g + t = -i for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, c: 4, m: 9}. Give prob of sequence mmcv.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(-2\/31)\/(v**(-5\/2)*(v\/((v\/v**3)\/v))\/v))\/(((v**(-2\/9)\/v)\/v)\/v**(1\/9)*(v\/(v**(9\/4)\/v))\/v**4) assuming v is positive.\nAnswer: v**(757\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b - 9. Give z(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 2*z - 29 = 4*o, -183*z + 376*z + 43*o = 190*z - 58 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 603 - 652. Which is greater: 4\/7 or w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8475\/11 in -3\/4, 4, 0, 4.5?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 218 + -215. Suppose -x*i + 3*b + 717 = 0, 3*b - 639 = -5*i + 556. Does 55 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/1840 and 59\/327995?\nAnswer: 120702160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**3 + l**2 + l - 2. Let o be c(1). Let f(h) = 40*h**2 + 4*h + 7. List the prime factors of f(o).\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**2 + 12*v. Let t(d) = -5*d**2 + 49*d. Let r(i) = -9*b(i) + 2*t(i). Let q be r(-5). Solve 0*y - q = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 5. Let c be y(7). Suppose -3*n + c*n = 0. Solve -w - 4 = -n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t - 1 + 2*t**4 + 8*t**4 + 1 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.21 - -6. Let v = -0.01 - l. Let w = 2.6 - 3. Sort w, v, -1 in decreasing order.\nAnswer: v, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -96*p - 6728. Determine t(-70).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(4\/9))\/o**(-1))**(-1\/33) assuming o is positive.\nAnswer: o**(-14\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1453959 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2330932542.\nAnswer: 2, 3, 947, 410231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:17 PM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 - 46.87. Let h = -0.1299878 + z. Round h to 6 dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, c: 11, g: 1, h: 1, k: 4, x: 1}. What is prob of picking 1 c and 1 x?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 132262768 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66*-117.8.\nAnswer: -7774.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 12522400?\nAnswer: -12522403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6598372434?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 12*z**3 - 88*z**2 + 150*z**2 - 14*z**4 - 44*z**3 + 24 - 12*z + 116*z = 0.\nAnswer: -3, -1, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in fourty-one halves of a kilometer?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -21*k + 3. Let j(g) = -26*g + 4. Let d(m) = 6*c(m) - 5*j(m). Give d(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.79 * 0.26.\nAnswer: 0.4654","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**5 + 14*b**4*c - 5*b**4 + b**2*c - 124*c wrt b.\nAnswer: 120*b**2 + 336*b*c - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(2\/11)\/n*n)\/(n\/(n\/(n**(-1\/7)*n))*n))\/(n\/(n*n**(-2\/5)\/n*n))**(1\/17) assuming n is positive.\nAnswer: n**(1971\/6545)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -14*z + 12*z. Differentiate 24*d + 3*d + 20 - z*d + 10*d with respect to d.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 2*u - 0*o + o, 2*o - 23 = 5*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + 25*q + 134. Let y be v(-16). Let n be (-9)\/11 + 26\/(-143) - y. What is the greatest common factor of 243 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1069523847?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3147, 6306, 9475, 12660, 15867, 19102?\nAnswer: 22371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1099085*j**2*u - 4*j**2 + 4*j + 3138 wrt u.\nAnswer: -1099085*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/3)\/(u\/((u\/u**(-2\/9))\/u)))\/(u**(-15)\/(u**(-19)\/u*u)) assuming u is positive.\nAnswer: u**(-49\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 32. Let s(v) be the first derivative of -7*v**4\/4 - 4*v**3 + 5*v**2 + 4*v - 63. Is s(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 186634 + -185755.19. Let b = 794 + -1668. Let z = w + b. What is z rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 3aa646?\nAnswer: -3aa643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6488*h + 6524*h - 160 = 4*n, 0 = 4*h - 4*n for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-925)\/(-20) + 1\/(-4). Suppose h = 5*f + r, 8*f - 3*f + 244 = 4*h. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(7)*-2*-4).\nAnswer: sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 123 + -288. Let p = -118 - w. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-588535)\/7594*((-52)\/(-30) - 2).\nAnswer: 62\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 41, 71, 115, 173, 245?\n\"Answer: 7*o**2 - 5*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 48. What is the greatest common divisor of q and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 76135142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/3660300 and 69\/175.\nAnswer: 3660300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 14 - 26 = 5*g, 0 = -5*o - 20. Let c be (-56)\/(-12)*(-486)\/63. Let y be (-64)\/c + g\/(-18). Solve -18 + y = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*f - 8345, 2*w + 20*f - 17*f = 5563. Calculate the greatest common divisor of 20 and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (7 - (-64 - -137))\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - -7)*((-6)\/(-10) + 0). Solve 2*r = 3*t - 11, v*t = -3*r + 6*t - 12 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -340\/57 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/(-40))\/(1\/3))\/(426\/(-1420))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -80, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/16*-5*(-128)\/1080?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(17) - (sqrt(17) + sqrt(51)\/sqrt(3))) + 1)**2 + -4.\nAnswer: -2*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2186805166.\nAnswer: 2, 7, 13, 17, 613, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 46 in 1\/5, 3.3, 24, -5, -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 5:55 AM?\nAnswer: 10:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 77*z**3 + z**2 - 4*z - 9. Is c(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -5*b**3 + 467*b**2 - 653*b - 599. Determine d(92).\nAnswer: -1427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 4 + 3*c)*(-6*c**3 + 3*c**3 - 3*c**3) to f*c**3 + u + s*c**2 + w*c + q*c**4 and give q.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480783.5668 rounded to the nearest ten thousand?\nAnswer: 480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 332444562?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7))**23*((j**0\/j)\/j)**(-17\/7) assuming j is positive.\nAnswer: j**(80\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*p + 26 = p - 12 + 7, 0 = 5*c + 18*p - 14 for c.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from swqwqwqsq. Give prob of sequence sw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 19.99417g?\nAnswer: 0.01999417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of 0 + 2*a - 1\/2*a**2 + 1\/20*a**5 + 0*a**3 - 1\/12*a**4. Give l(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 + 36. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5130388 or -5130390?\nAnswer: -5130388","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwgccwccwwr. Give prob of sequence wr.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, a: 6, p: 2, l: 2}. Give prob of picking 2 x and 2 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24)\/20*(-5 - 0). Solve p + 8 = s for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + -11 - (-8 - (-7 + 15 - 8)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -715 - -720. Which is the closest to -380? (a) 2\/7 (b) -5 (c) f (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 plus -29475?\nAnswer: -29430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -7. Suppose 0 = 3*d + 3*z, -9*z = -5*z + 4. Which is the nearest to d? (a) u (b) -2\/5 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4027 times -2783\nAnswer: -11207141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/((-99)\/((-20790)\/84))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2962790 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0, -7, -98\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44 - -43. Put t, 3, -4 in decreasing order.\nAnswer: 3, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 102*z + 197*z - 2 + z**2 - 96*z.\nAnswer: z**2 - z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -22*d. Let p(x) = 3*x**2. Determine y(p(k)).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5842.144*-1.\nAnswer: -5842.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 82277 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 113759 from -701290995.\nAnswer: -701404754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -624 in -2\/21, 1.01, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 10:53 AM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, r: 5, k: 2, n: 7}. What is prob of picking 1 k and 1 r?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6*(6\/(-9) + 0). Suppose p*n - n = 165. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 7*r. Suppose 6*m + 20 = m, 0 = 2*l + 5*m + 26. Let s(t) = -34*t. Determine l*s(d) - 14*f(d).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/49)\/(-4)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(6\/5)\/r*r\/(r**(-4\/3)*r))**(-5)\/((r**1)**3\/(r*r*r*r**(2\/9)*r\/r**(-1\/5))) assuming r is positive.\nAnswer: r**(-281\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 13*c**4\/8 - c**3\/6 - 2*c**2. Suppose -3*a + 12 = 3*a. Let l be p(a). What is the highest common divisor of 11 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 12) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2919770823973\/5736354 - -127760343\/251. Let x = -2\/11427 - l. Find the common denominator of (-194)\/12 - (2 - 4) and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6787*j - 12. Let i(k) = 2626568*k + 4650. What is 4*i(a) + 1550*p(a)?\nAnswer: -13578*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 39 = 44 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*l - 9792 = -578*l for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/20 + 2*t**2. Let q(u) be the first derivative of u**2 + 7. Give c(q(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 + 417*h + h**2 - 2*h**2 + 70 - 411*h + 8 as g + j*h + q*h**2 + w*h**3 + u*h**4 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1521 divided by -3\nAnswer: -507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1910 - 1907. What is the nearest to 0.016 in d, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(2\/(-9)*30\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10100001110011110010111 (base 2) in base 5?\nAnswer: 2324132132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52\/33 - -10\/11. Let u = -884.6 + 885. Which is the nearest to -2\/3? (a) u (b) l (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 10:25 AM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 688 or 684?\nAnswer: 684","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in -8\/7, 0.2, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d**3 - 793*d**2 = 0. Calculate d.\nAnswer: 0, 793","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 75 = -87, -3*x = -5*x - 0*f + 4*f - 204 for x.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/1463 or 1?\nAnswer: -1\/1463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z - 9. Let f be ((192\/(-9))\/1)\/(6\/18). Let k be f\/(-126) + 20\/(-70). Which is the third smallest value? (a) -3 (b) z (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 7*o**2 - 6*o + 5. Let u(g) = -3*g**2 + 3*g - 2. Let v(l) = 9*u(l) + 4*x(l). Determine v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*d + 528, 3*d + 45*w = 42*w + 534. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -236.6\nAnswer: -233.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 15 - 1 = 2*q, -3*l + 37 = 5*q. Suppose 125 - 396 = -5*i - w, q*i - w - 279 = 0. Is 14 a factor of (-12)\/(-30)*1*i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wc when two letters picked without replacement from {w: 2, z: 1, q: 1, i: 1, c: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: 1.234111 times -2\nAnswer: -2.468222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2227966?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:35 AM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 2. Let v(t) be the first derivative of t**5\/40 - t**3\/3 - 2. Let k(p) be the third derivative of v(p). Determine k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 8) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21393623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*g - 79 + 40 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2103848 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - 114. Suppose b = -6*b - 0*b + 2870. Calculate the remainder when b is divided by v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-359*l - 2051*l + 1505*l - 2456*l)*(2*l**2 - 4*l**2 + l**2).\nAnswer: 3361*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (228\/36)\/((384\/(-108))\/32).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144871284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l - 3*l - l + (-5 + 0 + 4)*(-l - 1 + 1) + (1 - 4 + 2)*(-4 + 4 - l) + l + 3 - 3.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -2\/11, -4\/3, 1\/3, 6?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*v, -4*v = 2*a - 9*v + 14. Which is smaller: a or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5255.53 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 539 - 2693\/5. Factor -z*u**2 + 2\/5*u + 0.\nAnswer: -2*u*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 0*a**4 + 0*a**2 + 0*a**3 - 5*a - 2\/5*a**5 + 3. What is the derivative of w(f) wrt f?\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/39931633 and 93\/57045190?\nAnswer: 399316330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -175 + 138.8. Let i = 74.2 - g. Let z = i - 110. What is the second biggest value in 3, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2, j: 3, n: 4, v: 1, d: 1}. Give prob of picking 1 n and 1 d.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1401 + 33?\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 + -72. Let g = 60 + n. Is g a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 184 + -186. Let o(l) = l**3 - 6*l**2 - l + 1. Let b(w) = -2*w**2 - w. Let i(d) = -3*b(d) + o(d). Give i(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 945899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 26, 59, 106, 173, 266, 391, 554?\n\"Answer: g**3 + g**2 + 23*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4380.9 + -4.\nAnswer: 4376.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 14 (b) -6\/5 (c) -0.5 (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r - 2. Let x be ((-15)\/9 + 2)*-9. Give h(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8858698 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 1957*k - 1684791. Give w(-647).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -84276 (b) -0.2 (c) 4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24158?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1 - 6) + 1)*(-2)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = l - 4*q + 2, -5*l - 4*q + 41 = 0. Solve l*g + z + 6 = 0, -5 = 2*g - 16*z + 19*z for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**10*d*d**(2\/17)\/d assuming d is positive.\nAnswer: d**(172\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/5 - -7\/5. Let q = 0.429 + -0.329. Which is the closest to -0.4? (a) q (b) 1 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-5))\/((-5)\/(25\/2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -348*y**4 - 80744*y**3 - 4602764*y**2 + 9421776*y + 219024 = 0.\nAnswer: -117, -2\/87, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9 and 140\/16 + 1 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2 - (6 + -6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -316524 divided by -52\nAnswer: 6087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 10) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 249414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 370, 803, 1408, 2185, 3134?\nAnswer: 4255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/5, -5, 13, 2\/23, 5?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/2, -0.0089, -5, -2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.1337 + 0.0537. Let a = 0.7 + -0.668. Let w = a + c. What is w rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -22, -31, -38?\n\"Answer: k**2 - 14*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-26))\/(97\/1261)*2\/6.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 29 - 66 = -7*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, e: 4, v: 1, d: 2, g: 5}. Give prob of sequence vdm.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*c + 235 = 0, 5*p - 4*c - 297 = -c. Let t = p - 40. Suppose -5*q + 10 = 0, q - 25 = 5*i - 173. What is the least common multiple of t and i?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 1. Let c(g) = 8*g + 22 - 14 + 0*g - 2*g**2. What is c(b) - 8*k(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 126*v**4 - 303*v**2\/2 + 2*v - 786. What is the second derivative of b(c) wrt c?\nAnswer: 3024*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - n)*(5 - 2 - 2) + 4*n + 14*n + 9*n in the form c*n + r and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 37*h - 140. Give y(44).\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*i = 48*i - 18 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13193 and 346191?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 258\/(-2838) - ((-156)\/(-99) + -2).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4148*v + 61082 = -13582 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -14*m - 19. Let p(h) = -2*h**2 - 8*h. Let n be p(-4). Suppose 96 = -8*l - n*l. List the prime factors of a(l).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 0*g + 5*g**2 + 0*g**4 + 1\/3*g**6 + 266\/5*g**5 + 35 + 0*g**3. What is the second derivative of q(m) wrt m?\nAnswer: 40*m**3 + 3192*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, e: 1, o: 1, g: 1, y: 2, d: 2}. Give prob of picking 1 o and 2 e.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 1244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, -206, -568, -1080?\n\"Answer: -75*p**2 + 13*p + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 + 575?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/25 of a millennium?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4908?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 44 = 484. Find the third derivative of 14*n**3 + 142*n**2 + 35*n**3 - f*n**2 + 2*n wrt n.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/(-9))\/5*-177. Let i = -11 + x. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**4\/12 + 5*v**3\/6 + 5*v**2\/2 - 33*v. Determine y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 30 - 12. Suppose -i = 4*g - 7*g. Let p(s) = 2*s**3 - s**2 + s + 2. Is 8 a factor of p(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7157 is divided by 2380?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 - 49*a + 2*a - 9*a + 25*a**2 + 30.\nAnswer: 25*a**2 - 56*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ei when two letters picked without replacement from kweeieke?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-2 + -3 + 11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bhbhbbqhb. Give prob of sequence bhbh.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(-14) + 52\/(-91). Suppose h*s - 2405 = -5*s. What are the prime factors of s?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -3\/807613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -347 - -345.5. Let s = -2.3 - k. Let g = 0.01 + 3.99. Which is the smallest value? (a) s (b) g (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r*r**(-4\/5)))*r))**(22\/3))**(19\/3)\/((r\/r**(-1))**(-38)*(r**1*r*r)\/r*r*r**(1\/7)\/r) assuming r is positive.\nAnswer: r**(20339\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -w - 108. Solve j - 3*p = -j - 23, 5*p = -j + w for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -1. Let f = -328 + 2300\/7. Let x = 143\/3 + -48. What is the closest to k in x, 3, f?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 6*n - 20. Which is the closest to 1? (a) 5 (b) n (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -139*w + 407*w - 134*w - 135*w. Let b(u) = 272*u**2 - 17*u - 17. Let a(v) = -34*v**2 + 2*v + 2. Let l(n) = -17*a(n) - 2*b(n). Calculate r(l(p)).\nAnswer: -34*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -12*o**2 + 196*o + 1120. Calculate s(-7).\nAnswer: -840","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-14)*-3*((-6)\/(-11))\/((-420)\/(-490))?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01 + -3.01. Let q be 15\/(-54) - ((-22)\/4 + 5). What is the closest to 0.2 in q, m, -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 5*a**2 - 9*a - 10. Let t be b(-6). Suppose -t*n + 12*n - 16 = 0. Solve 11 - 3 = n*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1636 and 1637 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 957*i**2 - 4752*i - 150. What is j(5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, c: 2, g: 1}. Give prob of picking 1 g and 2 c.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -4*w + 36, t - 9 + 42 = 5*w. Let q be -2 - (2 - (5 + w)). Suppose -51 = -q*k - 16. Solve -k*i + 15 = 5 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1869 - 1873. Put -0.6, -3, h, -2\/5 in increasing order.\nAnswer: h, -3, -0.6, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*s + 42 = 0, i - 63 = -4*i - s. Let w be i\/52 + 30\/8. Solve 0*m - 2*z + 4 = m, z = m - w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -8*q + 65. Let p(w) = 34*w**2 + 17*w + 33. Let a be p(-2). Suppose a = -q*y + 369. Calculate the lowest common multiple of y and 21.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.48 * -0.501\nAnswer: -0.74148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 3*c + 14 = 0, 132*i + 2*c = 134*i - 12 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 6. Let f be g(3). Let h = f - 1. Calculate the remainder when h is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u. Calculate the remainder when 306 - ((-204)\/544 + (-118)\/(-16)) is divided by x(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 335 is divided by 261?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**3 + 2*t - 3. Let f(j) = -j**5 - 4*j**3 - 3*j + 4. Let a be 2 + 3 + -1*1. Let d(w) = a*r(w) + 3*f(w). Find the second derivative of d(m) wrt m.\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-5*sqrt(52)\/(sqrt(4) - -4*(sqrt(4) + sqrt(8)\/sqrt(2))))**2.\nAnswer: 5200\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -1783.8\nAnswer: 178.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52 + -43. Suppose 0 = f*v + 2*v - 3168. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*c + 2 + 0 = 0, -3*c = 5*i - 8. Let m be 47\/(1692\/24) - 1*(-20)\/(-21). Which is smaller: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 23. Suppose n - 5*v + l = 0, 9 = -3*n + 5*v - 5. What is the remainder when n is divided by -1 - 2*(1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -651778296 less than -11.8?\nAnswer: 651778284.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n + 11*n + 5*z = -12, -z - 18 = -3*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-6) - 1)*-2. Let m be 0\/((0 + s)*1). Suppose -2*i + 88 = 3*i - 2*v, m = v - 1. What is the least common multiple of i and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + 2 + -1 + 5 + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3842\/93 or -40?\nAnswer: -3842\/93","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9744 by 87.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 6*s**2 + 8*s + s**3 - 13*s - 9*s - 2. Let m be k(7). Do -2 and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 21 + 9 - 3*i)*(-22 + 22 + 4*i).\nAnswer: -12*i**2 - 52*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4\/95227 + 15132432\/95227. Let h = o - 159. What is the common denominator of h and -53\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51*33\/110 + 83 + -67?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 1\/3*y**3 - 75*y + 10*y**2 = 0. Calculate y.\nAnswer: 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55110 divided by 334?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-16 - 54\/72*-20)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6763*u**2 + 531*u - 992877 wrt u?\nAnswer: -13526*u + 531","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Let n(x) = 2. Let a(u) = -2*i(u) - n(u). Give a(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -228 in decreasing order.\nAnswer: 3, -4, -228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.12192, -3, 3, 0, 0.1 in decreasing order.\nAnswer: 3, 0.12192, 0.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 6722730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-20) - (-10)\/(-50). Which is the nearest to 5\/7? (a) -2 (b) g (c) 3\/7 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 50061902200 to the nearest one million.\nAnswer: 50062000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -53 + -192. Let t = -174 - r. Calculate the remainder when t is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*i - 9 = 0, -6*i = -l - 2*i + 13. Sort l, -3, 9, -2.\nAnswer: -3, -2, l, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5)\/15)\/(2\/6). Let j = 511 + -2563\/5. Which is greater: g or j?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.00038 micrograms in grams?\nAnswer: 0.00007700038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 449?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bub when three letters picked without replacement from bbzrjjjzzzurzlz.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 8*m**2 + 4*m - 11. Let v be (32\/6)\/(26\/39). Let u be t(v). Calculate the highest common factor of 14 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/8244 and 71\/2748.\nAnswer: 8244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1605 + 2970. Suppose 3*q = -0*q - w. Is 8 a factor of 1\/(-4) - q\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18941597 to the power of 1\/3, to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -2*y + 30, -3*n = 65*y - 70*y + 13 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 4:46 PM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 1\/2 (b) -3 (c) -6 (d) -4.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of i**5\/20 - 5*i**4\/4 - 5*i**3 - 35*i**2\/2 + 216*i. Is v(24) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3577?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 788539955\/2298162 + -1\/135186. Let l = h - 343. Suppose -m + x = 3, -m - 30 = -4*x - 6. What is the closest to -0.2 in l, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 5*t - 84 = 0. Suppose 2*h + 3*h - 40 = 0. Let n = 12 - h. Calculate the smallest common multiple of t and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101202212220 (base 3) to base 12.\nAnswer: a2873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2137 + -19231\/9. Determine a so that -2\/9*a**2 - 2\/3*a**3 + 0 - h*a**5 - 2\/3*a**4 + 0*a = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1343 is divided by 136?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3\/4 + 1371*u**2\/2 - 24781*u\/4 - 30261\/2 = 0.\nAnswer: -2751, -2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 4 = 7*d - 12*q, 0 = -3*d - 5*q + 11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1200375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 177 (b) 0.4 (c) -0.2 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6*33033\/1001?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4*z = -8, 3*n + 4*z - 40 = -0*n. Let q be -42*(-19 + n - (2 - -1)). Calculate the greatest common factor of q and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -30*m + 10*m + 14*m - 1 + 7*m. Let y(q) = -6*q - 3. Let p(v) = -6*s(v) - 2*y(v). Let i be p(14). Calculate the greatest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33133360, -33133354, -33133344, -33133330, -33133312?\nAnswer: -33133290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 243*s**2 + 5*s + 15*s + 11*s - 29*s as d + y*s + r*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4 - 14 = 0. Suppose 0 = -2*c + q - 7. Is -1 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16914527 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*i**3 + i**3 + 2*i**3)*(21477 - 3020*i - 21477) as k*i**4 + b*i + j + t*i**3 + h*i**2 and give k.\nAnswer: 3020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 14 = -p, -1 + 11 = 5*j + p. Suppose 0 = -5*n + 10. Let k = n - 2. Put k, -6, j in increasing order.\nAnswer: -6, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-8)\/(160\/(-76)) - 6)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 66, 74, 94, 132, 194?\n\"Answer: j**3 + j + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 1:17 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.13 + -0.17. What is the nearest to -2 in -4, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -20, 3, 4, 1 in ascending order.\nAnswer: -20, 1, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2. Let d(n) = -n - 2. Let y be d(6). Let c = y + 16. Let g(p) = c*p - 8*p + 3*p. Calculate g(m(x)).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(7\/5)\/z)**(-7\/2) assuming z is positive.\nAnswer: z**(-49\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1, -3, -2, 27 in decreasing order.\nAnswer: 27, 1, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 379\nAnswer: -758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.12? (a) 2\/15 (b) -2 (c) 4 (d) -2\/5 (e) -9.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -106*p**2 + 10 + 30*p + 201*p**2 + p**3 - 103*p**2. Let h be b(7). What is the greatest common factor of 18 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - 2000?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 5*i - 15, -q - 7*i + 4*i = -20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 9:19 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1522 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/4080 and 20\/423?\nAnswer: 575280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 86520 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4567437 + 4567420.000005. Let t = s + 17. Round t to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7 - ((-12)\/(-16) + (-9)\/4*-1). Let i be 2\/((-2)\/3)*-1. Put t, 24, i in decreasing order.\nAnswer: 24, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + 50 - (-1 - 3)) + (15 - 2) + -12?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/23 - (-227304)\/7084.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -60529 (b) 2 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:18 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -93672*p + 48. Let g be f(9). Round g to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 29*v = -70. Let q = 51 - 35. What is the least common multiple of v and q?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**2 + 3*i - 3. Calculate c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + (sqrt(13)*-2*2 - sqrt(13) - sqrt(13)).\nAnswer: -6*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 4, -0.5, -2\/7, 6\/481 in descending order.\nAnswer: 4, 2\/9, 6\/481, -2\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from csueu. Give prob of sequence uc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/5*x**2 + 54\/5*x + 57\/5 = 0. What is x?\nAnswer: -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - 8. Let z(y) = -y**3 - 3*y**2 + y + 3. Let o be z(-4). Let h = o + b. Solve h*n - 4 - 4 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - ((-1 - -114) + 315 + -320).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -18\/7*w**3 + 2\/7*w**4 + 36\/7*w**2 + 0 + 0*w = 0.\nAnswer: 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 91*y - 83*y - 32 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*n**4 + 8088339*n**3 + 3*n + 34448911 wrt n?\nAnswer: -144*n**2 + 48530034*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 5*y + 70 = 0, -4*n - 3*y - 27 = 50 for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2626950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 1984731125 to the nearest one hundred thousand.\nAnswer: 1984700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59178*j + 3 - 3.\nAnswer: -59178*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 28803 - 6532. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 1. Give i(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -7*g**3\/6 - 3*g**2 + 666*g. Give y(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110 (base 3) to base 16.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - h - 3. Let x(t) = 39*t**3 + 2*t**2 - 5*t - 4. Let c be x(2). Let n = 306 - c. What is j(n)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 13*s - 338. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 a when three letters picked without replacement from {a: 2, g: 2, l: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k*k\/(k**(-6)*k*k)*k)*k)\/k**5)\/(k**1\/k**(-3)) assuming k is positive.\nAnswer: k**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 7*h + 8*h)*(-35 - 24 - 30).\nAnswer: -712*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) + (sqrt(96) - sqrt(96)*1)\/sqrt(8))\/sqrt(6).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1701405459 to the nearest integer?\nAnswer: 41248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 7 + 61. Let y(b) = 3*b - 4. Let h be y(3). Let m = x - h. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 25 = 15*z. Suppose 0 = 3*k - 4*y - 10, -5*k + 5*y - 6*y = -55. Solve a = 5*l - k, -l - a - 7 = -z*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 15957 (b) -58 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1262 - 1258) + 0 + (6 - 1) - 42.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 191171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 s when three letters picked without replacement from {s: 2, x: 3, c: 8, k: 2, p: 2}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/(-12))\/(5 - 4). Which is the nearest to 0? (a) 0.15 (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/49)\/h)**(-1)*h**(-8)*(h*h*(h**(-2\/27)*h)\/h*h)\/h assuming h is positive.\nAnswer: h**(-6659\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93566.\nAnswer: 2, 11, 4253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -3*w. Let l(d) be the first derivative of d**3 - d**2\/2 - 3*d - 66159. Let i(m) = -10*m**2 + 4*m + 10. What is w*l(v) - 2*i(v)?\nAnswer: -v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 6*w - 27. Let a be g(6). Let p be (((-2)\/1)\/2)\/(a + -44). Let u be -137*(3*p - 6\/(-3)). What is u rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 2425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98858 to 2 decimal places.\nAnswer: 0.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -56 = 2.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2170)\/20)\/(-31)*(-30)\/(-21). Solve -214 = -q*a - 199 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19909 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - m**2 + 7*m - 1. Give d(4).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 - 7*b - 3. Let w be y(8). Let v(u) = 10*u + 0 - 3 - u**2 - 4*u. Let d be v(w). Calculate the highest common divisor of d and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - 2 + 2)*(24*v**3 + 31*v**3 + 23*v**3) + (-v + 2 - 7*v**3 - 3*v**3 + 13*v**3)*(-2 + 0 + 0)*(-v + 0*v + 0*v)*(-3 - 1 + 2).\nAnswer: 144*v**4 + 4*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 665*z - 13074 = -1133*z + 9247 + 24427 for z.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 2*p. Suppose 7*j - 2*j - 15 = p. Solve 5*s = j*n + 17, 2*n + 3*n - 5 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 5381?\nAnswer: 5380.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-54) + 76\/18. Suppose r + 25 = 6*r. Suppose -2*k + 52 = r*t, -k + 4*k + 12 = 0. Solve -4*g + 2*o - t = 0, o - y = -2*g - 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342 - 2315*q - 2314*q + 6947*q - 2320*q.\nAnswer: -2*q + 342","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 3. Let a(h) = -h + 5. Suppose 3*r + 6 = -3*p, -6*r - 2*p = -3*r + 11. Let j(g) = r*n(g) - 4*a(g). Let s be j(-1). Solve 0 = -4*v + s for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, x: 15}. What is prob of picking 2 x and 2 e?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 131856 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -h - 0*i, 0 = -5*h - 2*i + 14. Suppose 0 = 3*l + 9, -z + h*l + 96 = z. Calculate the greatest common divisor of 9 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence of when two letters picked without replacement from fffooffffofofffoff?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185542067?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert da78 (base 16) to base 14.\nAnswer: 1654c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = 3*a + 22*y - 16626016, 0 = 4*y + 16. What is a rounded to the nearest one hundred thousand?\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1097102707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38021 and 23932.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 3:28 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, -6, 2\/5, 5.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 21*l - 9. Is q(10) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -65.\nAnswer: 19.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/10)\/(4\/80). Suppose -4*x + 0*o + 23 = o, o + s = 3*x. Let r = -1 + 2. Solve 0 = -x*m + 5*f, -2*m + 3*f + 0*f + r = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 2*m + 2*m)*(1 + 3 - 2)*(-2*m + m + 2*m)*(238*m + 238*m - 55 - 473*m) to the form y*m + b + d*m**3 + c*m**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1050 + -1010356?\nAnswer: -1006306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7782a6 (base 11) in base 9?\nAnswer: -2301112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - -2*sqrt(72)*4) + sqrt(72) + sqrt(72))\/sqrt(4).\nAnswer: 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2553)\/3404)\/((-129)\/4)*-1.\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 - 64 - (-14 - 0).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 11, j: 1}. Give prob of sequence jyy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59003.\nAnswer: 7, 8429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5676*g + 39208 = -57284 for g.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3538690279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 1 = -5*s. What are the prime factors of s + -20*(-12)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b. Let j(a) be the first derivative of -a**2\/2 + 70*a + 68. Calculate j(f(l)).\nAnswer: -2*l + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 5*w**4 - 154235*w**3 + 154230*w**2 = 0.\nAnswer: 0, 1, 30846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h = 78. Suppose 0 = -5*p + h + 46. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*a - 242*a - 372 = 0. Let j(d) = d + 1. Let q(v) = v**2 + 6*v + 3. Determine a*j(z) + 2*q(z).\nAnswer: 2*z**2 + 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137, 147, 163, 185, 213?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**4\/8 - 2319*p**3\/4 + 6124221*p**2\/8 - 432760185*p\/2 + 34825158225\/2 = 0.\nAnswer: 174, 2145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548*y + 92*y + 2*y**2 + 6*y**3 - 5*y**3.\nAnswer: y**3 + 2*y**2 - 456*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 4*d**2 - 1. Let p(n) = -20*n**2 + n + 6. Let u(r) = -2*p(r) - 11*s(r). Suppose -4*t + 4*f - 22 = 78, t + 29 = 3*f. Let a = -24 - t. Determine u(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231887887\/20 + 11585708. Let h(m) = -321*m**3 + 2*m**2 - m + 4. Let q be h(-3). Let b = l + q. What is the common denominator of 11\/10 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2*(0 - 9\/(-2)) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - w - 1 + (1 + 1 - 3)*(3*w - 2*w - 2*w) - 2*w - 5 + 5 + w - 4*w - w + 0*w - 1 - 5*w + 0*w.\nAnswer: -11*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (1 + (-56 - -68) + 0 + -3).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*s + 3*s + s)*(-35*s**2 + 120*s**2 - 59*s**2) to r + v*s**2 + b*s**3 + d*s and give b.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 11:28 PM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-135)\/108*68*(-4)\/(220\/77)?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 109.007038 and -679002.\nAnswer: -678892.992962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -125, 17, -27, 5, -9, -5, -2 in ascending order.\nAnswer: -125, -27, -9, -5, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1942 (base 10) to base 4.\nAnswer: -132112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**26)**(-1\/44)*(v**(4\/7)*v**15*v)**(-25) assuming v is positive.\nAnswer: v**(-63891\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 - 3*r**4 + 8888*r**3 - 2332*r**2 - 35*r - 9.\nAnswer: -360*r**3 - 72*r + 53328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1\/666 (b) 1 (c) 1\/7 (d) 0.4 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9603?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 592 (c) -0.7 (d) -2\/5 (e) 23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2311222 (base 4) to base 6\nAnswer: 125454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1538, 12877, 44112, 105341, 206662, 358173, 569972, 852157?\nAnswer: 1214826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/((-300)\/185) - 3. Let o(t) be the third derivative of 0*t + 0 + 2*t**2 + 0*t**3 - l*t**4. Let v(w) = w**2. Give o(v(i)).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*v**3 + 23 - 67 + 30 - 2*v**3 + 17 + 7*v**2 as q*v + d*v**3 + t*v**2 + o and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4759 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*(-3)\/12 + 3. Suppose -3 + 9 = n*r. Solve 0 = q - 2*q - 4, -4*i + r*q - 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, f: 1, k: 1, b: 1, t: 1, y: 2}. Give prob of picking 1 y, 1 f, 1 t, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 9*p + 330. Is c(44) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71, 108, 111, 62, -57, -264, -577, -1014?\n\"Answer: -3*h**3 + h**2 + 55*h + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 334 and 72866?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31.87475 nanograms to milligrams.\nAnswer: 0.00003187475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*i - 92 + 27 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - o = -3575, -4*o = 3*t - 1030 - 2560. Calculate the smallest common multiple of 272 and t.\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1717 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 1)\/(2 + -1). Is 7 + -6 - (-87 - p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2521012*n**2 - 3604*n**3 + 2521012*n**2 + 3605*n**3.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 - -17. Let n(r) = -20*r - 17*r + h*r. Let x(s) = s. Let m(b) = -2*b**2 - 12*b. Let k(w) = m(w) + 12*x(w). Calculate k(n(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -300, -575, -850, -1125, -1400, -1675?\nAnswer: -1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-6*sqrt(120)\/(sqrt(10) - sqrt(10)*-1))\/(4*-2*sqrt(864)*-5).\nAnswer: 3*sqrt(2)\/160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652 = 206*c + 446*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 370\/3 - 122. What is the closest to -0.2 in 0.4, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + i - 4*i)*(0*i + 5*i - 4*i) - i**2 - 2*i**2 + i**2 - 28*i**2 + 101*i**2 + 46*i**2.\nAnswer: 115*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 + -128. What are the prime factors of 21372\/w + 6\/8?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a + 3026939 = -9983989. Suppose 2876817 = -9*w - a. What is w rounded to the nearest 100000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - (-13 - -16)) + (-6 - -12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8 - 0)\/((-8)\/(-60)). Let j = -12 - -14. Suppose -5*x = -4*m - 60, -5*x + m + j*m + k = 0. Calculate the remainder when x is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2707 in -4\/11877, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5641*p**2 - 18 - p**4 - 77*p**3 - 54*p**3 + 5639*p**2 as t + m*p + k*p**2 + b*p**3 + o*p**4 and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -195, -390, -589, -792?\n\"Answer: -2*i**2 - 189*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3\/320 + 117\/320. Let w(f) be the second derivative of a*f**4 + 1\/12*f**3 + 11\/40*f**5 + 1\/15*f**6 + 0 - 1\/4*f**2 - 3*f. Factor w(m).\nAnswer: (m + 1)**3*(4*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19556323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 162\/18*5\/(-5)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209, 195, 161, 101, 9?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 705\/49 or 499?\nAnswer: 705\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-14)*r**13)**31\/(r**(2\/7)*(r**(-8)*r)\/r*(r*r*(r\/(((r\/((r\/(r*r**(-7)))\/r))\/r)\/r)*r)\/r)\/(r**(2\/11)*r)) assuming r is positive.\nAnswer: r**(66751\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3368 or 3372?\nAnswer: 3368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ix when two letters picked without replacement from klujlljkkijukxx.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*i - i + w, -w = 3. Suppose -4*o - 3*c - 4 = 0, -3*o = -4*c - i - 12. Suppose -4*u + 10 = -o. Solve 3*q - 9 = u*v, 0 = -4*q - 0*q - 4*v + 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 1622*d**3\/3 - d**2 - d - 4. Let z be g(-1). Suppose -2*f + z = f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 14*g**2 + 12*g - 13. Let h be f(-13). Let z(x) = 2 - 2 - 3*x + h. Let u(q) = 0*q - 4*q - q. Give u(z(v)).\nAnswer: 15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 521 or 522?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124 + -128)*(-1)\/(-18).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -52. Suppose 0 = -3*f + s - 105, -3*f - 2*s - 114 = -0*s. Let a = f - -37. Solve -2*m - a = m + g, 5*g = r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -45 and 3689594.9.\nAnswer: 3689549.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -356 - -407. What is the remainder when 57 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 5*x**4\/14 + 8*x**3\/7 + 4*x**2\/7 + 36. Factor c(n).\nAnswer: 2*n*(n + 2)*(5*n + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10669 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 297?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -612 = 17*c - 26*c. Suppose 74*g - c*g = -31140. Round g to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 3.74. Let m = -1.12 - q. Let x = -0.28 - m. What is x rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -55 or 26463?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 354 + -351. Suppose -116 = -2*a - 21*y + 23*y, -298 = -5*a + 3*y. Put 0.2, -3, d, a in decreasing order.\nAnswer: a, d, 0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - o - 150. Let a = 16 + -16. Let k be w(a). What is k rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -848\/225 - -898\/225. Let i = -0.3 - -2.3. Which is the third smallest value? (a) -4 (b) i (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -180?\nAnswer: -540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 51\/5 of a milligram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/6522956 and 67\/352.\nAnswer: 52183648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 5:26 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 150060136 - -4?\nAnswer: 150060142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 47446188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.72824 minus -8?\nAnswer: 57.72824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 39\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 20, 0, -54, -154?\nAnswer: -312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*j*t**3 - 117*j*t**2 - j + 15*t**3 + 2 wrt t?\nAnswer: -48*j + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.016? (a) -0.1 (b) -5 (c) -0.3 (d) -2 (e) 2989 (f) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1186076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 514884 and 222132.\nAnswer: 89074932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 + -1004?\nAnswer: -1104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 101*h**2 - 204*h**2 - 1 + 7 - 2.\nAnswer: -305*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188552 by -962.\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (960\/21)\/5*7\/15 and -2 + (0 - (-207)\/24)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (63\/14)\/(6\/40)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-68))\/((-358)\/2864)\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, k: 5}. What is prob of picking 2 a and 2 k?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 29?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**2 + u**2 - 2*u**2)*(6 - 3 - 2) + 29*u**2 - 164*u + 2 + 164*u.\nAnswer: 31*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5858, 5744, 5630, 5516, 5402?\nAnswer: 5288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-3 + 4) - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63686762 a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 + 3c?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*q**2 + 491*q**2 - 247*q**2)*(-3 - 3*q**2 + 2*q**2 + 1).\nAnswer: -347*q**4 - 694*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.859859 plus 0.25?\nAnswer: -1.609859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 5 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 12:36 PM?\nAnswer: 12:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6}. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3945194 is divided by 27?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.55 + 0.55. Let w = -15\/17 + 499\/527. Which is the second biggest value? (a) h (b) w (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, j: 2, t: 5, n: 1, e: 1}. What is prob of picking 2 j and 1 t?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 - 25 + 2 = 12*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -1, 4, -2, -78 in decreasing order.\nAnswer: 9, 4, 2, -1, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 6, 4, -2\/57?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 h when four letters picked without replacement from ococclcwvlhovwcocloo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3717 divided by 157?\nAnswer: 3717\/157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3384)\/(-1692))\/(((-8)\/(-114))\/(-2))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 + 6*r**2 - r + 1. Suppose -2*m = 2, -9 = 5*s - 0*s - m. Let j be 6\/(s\/(-6)*3). Calculate n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b**2 - 41220*b + 164800 = 0 for b.\nAnswer: 4, 8240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/12 and 101\/864.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 87692921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 84, 323, 0.1 in decreasing order.\nAnswer: 323, 84, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -33.1. Let n = 0.5 - 0.9. Which is the second smallest value? (a) 3 (b) f (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2874696049 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 205.64212.\nAnswer: 102.82106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(2*f - 3*f - f)*(-44 - 32*f + 44) + 0*f**2 - 3*f**2 + f**2.\nAnswer: 62*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/3, 1\/3, -55, 3, 5, 0.11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4*sqrt(75) - sqrt(75)) + sqrt(75).\nAnswer: -1 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 976 and 3294?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6203812 in -3\/5, -2\/3, 0.2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**3 - 43*c**2 - 25*c - 49. Calculate f(15).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 4489?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -23*n**4\/12 - 7*n**3\/6 - 5*n**2. Let q be r(4). Let v = q + 348. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 7 - 1. Let i be (k - -2) + 0 + 2. What is the nearest to 0.1 in 0, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 14\/15*i**6 - 28*i + 0*i**3 + 2 + 0*i**2 + 2*i**4 - 1\/21*i**7 - 5\/2*i**5. Suppose z(b) = 0. Calculate b.\nAnswer: 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, q: 3, b: 1, p: 1, m: 1, x: 8}. What is prob of sequence xbpx?\nAnswer: 1\/780","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m**5 - 15*m**4 + 12*m**3 + 24*m**2 + 3*m + 3. Let f(d) = -3*d**5 + 15*d**4 - 13*d**3 - 23*d**2 - 4*d - 4. Let h(o) = 4*a(o) + 3*f(o). Factor h(v).\nAnswer: 3*v**2*(v - 3)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**5 - 602*w**4 - 8034*w**3 + 602*w**2 + 8036*w = 0. What is w?\nAnswer: -287, -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -11*w. Let u(v) = -21179772*v. Determine r(u(t)).\nAnswer: 232977492*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 294 = 12*i. Solve -i = t + t - 5*k, -k = 2*t + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -1*(-18818)\/(-2)*((23 - 9) + -15)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26.1 and -0.3.\nAnswer: 7.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -5837056*s**2 - 5769408*s - 1425636 = 0.\nAnswer: -597\/1208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 7552 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 725 divide 45885378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 6*v + 76. What is the lowest common multiple of 104 and c(10)?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 198*n**2 - 4458*n + 456068. Calculate t(98).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*j = -110*j + 87*j - 5232 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 57866.53 millennia?\nAnswer: 57866530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 divided by 2?\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 19. Let u = k + -3. Let i = -8 + u. What is the second smallest value in i, -3\/7, -5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = u, u + 10708 = 4*h - 3*u. Suppose 26*t - h = 283. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 140686678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -6937.\nAnswer: 2774.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 6. Let i = 0 - 0. Let p = i + c. Put -1\/7, 1, p in ascending order.\nAnswer: p, -1\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3666 and 156?\nAnswer: 7332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.887 + 0.087. Let p = 1.8 + t. Let x = -5 - p. Which is the third smallest value? (a) 2 (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1040770 divided by 5230\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -545237 divided by -77891?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005139 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - 2*sqrt(68)) + 1*sqrt(17) + -5)**2.\nAnswer: 20*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 - 22*o - 13. Let i be j(8). Solve -4*d + 2*d = i*u + 9, 0 = 4*d - 3*u - 27 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 30*j**2 - 84*j + 479. Determine f(-33).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 270, 272, 274, 276?\n\"Answer: 2*z + 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**5\/60 - u**4\/3 - 7*u**3\/6 - 3*u**2. Calculate the lowest common multiple of 9 and l(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - (6 + -4 + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 223883 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2440 = 363*a - 5459 - 8040 + 1419 for a.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -95566558.10999882 + 95566559. Let o = q + -0.89. Round o to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 4*j**3 - 18*j**2 + 3*j + 18. Let d be w(4). Let c(b) = -b**2 + 1. Let f(l) = -l**2 + 2. Determine d*f(i) + 3*c(i).\nAnswer: -i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let j be w(-5). Suppose 4*a + a = j. What is the smallest common multiple of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 + 5*n + 1. Let q = -492 + 498. Calculate f(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 69*o - 77*o + 40. Solve 0 = o*v + 3*s + 15, 6 = -v + 3*s + 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -1045, 0, 16, 0.29?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76583285 is divided by 1143.\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 145 - 185. Is (-2653)\/(-9) - r\/180 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27901 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.142616 to 2 decimal places.\nAnswer: 5.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 24 = -5*n, -3*n + 28*z - 20*z = 34 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 4 = -14*r + 13*r, -1 = 40*b - r + 3 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94702958 and 1799?\nAnswer: 1799","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - 0.9. Let h = b - -0.9. Let q(x) = -x - 9. Let u be q(-14). What is the biggest value in -5\/4, u, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(48 + 10*p**3 - 32 - 14).\nAnswer: -30*p**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 22. Let m = h + -9. Let g = -7.000015 - m. Round g to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(19\/4)*u**13 assuming u is positive.\nAnswer: u**(71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56.8 - -6.2. Let n = -62.9927 + q. Round n to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2 + 4520 - 9019 + 3*d + 4517.\nAnswer: -(d - 6)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122446, 124363, 127566, 132061, 137854, 144951, 153358?\nAnswer: 163081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, c: 1, v: 1, n: 1, d: 1}. Give prob of picking 1 n and 1 d.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/9 + (-40)\/(-990))\/((-3560)\/1958)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1001211 (base 3) to base 2\nAnswer: 1100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-93))\/((-1153)\/(-35743))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/204 and 38\/69.\nAnswer: 4692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8118862 is divided by 4059395.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(14\/4 - 3). Suppose 22 = 2*n + v*x + 6, -3*n + 3*x + 54 = 0. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -5*k**2 + 6*k - 8. Let b(p) = 4*p**2 - 5*p + 7. Let s(d) = 6*b(d) + 5*n(d). Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 = 2*y, 0*t - 5*y - 4 = -3*t. Let n(b) = b**3 - 2*b**2 - 2*b. Determine n(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98 - (-101 + 50 + 98)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*i = -3*f + 58*i + 1569, 0 = f - 2*i - 529. What is the highest common divisor of f and 600?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 23*q = 372, 4173*l - 4172*l = 3*q + 44 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12778)\/13)\/(22\/(-143)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 26630 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 + 14*a**2 + 7*a - 7. Let c be w(-9). Suppose 7*i - c = 3*i - l, 0 = -i + 5*l + 110. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 333 and 11211?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -9 less than 10555?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggdd when four letters picked without replacement from gdpiiwgidggdiippigwg.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**3*v**2 - 111*k**3*v - 119*k**2*v**3 - 3*v wrt v.\nAnswer: 4*k**3 - 714*k**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -61 - -429\/7. Let k = 169 - 170. Let t = -37.9 - -33.9. Which is the nearest to 0.4? (a) t (b) k (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - f**2 + 1. Suppose 0 = -5*j + 4*i + i, -4*j + 18 = 5*i. Let k(p) = p - 7 + j + 0 - 2. Let l be k(7). Calculate h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 1, 4 in decreasing order.\nAnswer: 4, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4059 - 7537 + 107*o + 3821. List the prime factors of w(12).\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1 (c) 157154 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 221 - -2?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3286, -0.4, 4, -71\/3 in descending order.\nAnswer: 4, 1\/3286, -0.4, -71\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.36, -2\/5, -9.\nAnswer: -9, -2\/5, -0.36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2. Let l(s) = -25*s. What is l(r(c))?\nAnswer: -175*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (36 - 33) + (2 - -6)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 - 0.87. Let w = -0.6 - j. Which is the closest to 2? (a) w (b) 1\/4 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -d + 12*h + 161, -4*h - 367 = -3*d. Solve 22*t + 17*t = d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p. Let g(x) = -5*x + 18. Determine g(a) - 6*y(a).\nAnswer: a + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28 + (3 - 2) + 2. Solve 4*a - k = -5*z - 10, -5*z - 5*a + 20 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 416, 2\/9, 29, 1\/4.\nAnswer: 2\/9, 1\/4, 2\/5, 29, 416","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*g**3 + 1904\/9*g**2 + 1900\/9 - 3802\/9*g = 0 for g.\nAnswer: 1, 950","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 227, 77552 in decreasing order.\nAnswer: 77552, 227, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0151045755 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jr when two letters picked without replacement from rjrjrrrr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147450 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16.7 and 5174990125.\nAnswer: 5174990141.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 131*q**2 + 1 + 2676*q**3 - 2674*q**3 - 1 in the form m*q**3 + r*q**2 + c + b*q and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.8 + -7. Let q = t + 0.203. Round q to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -392*q - 58*q + 52*q - 1255 = -7623 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 9*p**2 + 12*p + 24. Let s(i) = -i**3 - 10*i**2 + 11*i - 10. Let b be s(-11). Let j be k(b). Let h(r) = -3*r - 3*r + 6 + 4*r. Give h(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102281\/22 + -4650. What is the common denominator of z and 81\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 49, -17, 3\/10, -0.3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -5*j + 5, -j + 1 = -i + 3*i. Let u(f) = 3*f**2 - f + 93. Let t be u(i). Calculate the highest common divisor of 62 and t.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1405366.5 - -9852.9.\nAnswer: -1395513.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20177 is divided by 354?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356002, -356010, -356018, -356026, -356034?\nAnswer: -356042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.513082ml to litres.\nAnswer: 0.003513082","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q + 4*u + 103, -4*q - 1836*u + 77 = -1841*u for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2 + o - 1. Let s(c) = -c**3 + 12*c**2 - 4*c + 2. Let u(y) = 6*j(y) + s(y). Give u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of y**3\/3 + 21*y**2\/2 + 4*y. Let k be x(-14). Let m(z) = -z**3 - 6*z**2 - 5. List the prime factors of m(k).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 3 = 2*s, -4*s + 7 = -3*z - 2 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146724.6l to millilitres.\nAnswer: 146724600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 664*g**2 - 4 - 288*g**2 + 493*g**2 + 5.\nAnswer: 869*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -237 - 111 = 9*m - 1752. Calculate the remainder when m is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + 0 + sqrt(4)\/sqrt(2) + 1 - (sqrt(2)*2*2 - (sqrt(8)\/sqrt(4) + 1 + sqrt(2) + sqrt(2)))**2*4).\nAnswer: -54*sqrt(2) + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.6 times 0.2643?\nAnswer: -15.48798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5560145 is divided by 16548.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -5135670 divided by -115?\nAnswer: 44658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*x - 6*x - 10*x - 80 - 2*x**4 - 59 + 27*x - 3*x**2 to o*x**3 + c*x + d*x**4 + h + b*x**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 17*x + 15. What is the tens digit of t(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2 + (10 + 1 - 10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*v - 16 = -8*i, -4*i + v + 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.09753 - -0.09753. Let y be 2 + ((-4)\/(-2) - 1). Let p be -2 + 3 - 10\/12. What is the closest to t in y, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 13*d - 7. Let k be o(12). Suppose -302 = k*s - s + 2*j, 5*j = s + 70. Let x = s + 81. What is the least common multiple of x and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2924693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 870136\nAnswer: -5\/870136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -599995992 and 3?\nAnswer: -1799987976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2072 - -1304. Let x be -1 - (-2 + 462 - 0). Let k = x - f. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l**2 + 14*l - 164. What is the hundreds digit of u(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 13. Let o = r + -32\/3. Which is the nearest to o? (a) 1\/3 (b) 0.5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0 + 0*j**3 + 42*j**2 + 5\/24*j**4 + 0*j - 1\/12*j**5. Let r(i) = -3*i**2 + 2*i. Calculate 2*q(y) - 5*r(y).\nAnswer: 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-14) - 60\/(-70). Let h(p) be the second derivative of -3*p**2 + 0 - 1\/6*p**3 + l*p. Find the first derivative of h(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**7\/840 - j**6\/120 + j**5\/40 - j**4\/24 + j**3\/3 + 4. Let z(x) be the third derivative of q(x). Factor z(k).\nAnswer: (k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4695 is divided by 7 + 3066\/(-434) + 1800\/31?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -263045 + 263083. Suppose -3*w - 207 = -6*w. Calculate the remainder when w is divided by k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67864, -67862, -67860, -67858, -67856, -67854?\nAnswer: -67852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3712 smaller than 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, f: 1, o: 2}. Give prob of picking 2 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 4 + (18 - -32) - (9 + -6).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 50.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 AM and 3:10 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 354 and 4413849.\nAnswer: 8827698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express g**2 + 0*g**2 - 2*g**2 + (0*g + 3*g + 0*g)*(4*g + g - 4*g) - 162*g + 110*g**2 + 162*g in the form u + h*g + i*g**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 19 + 16 = 0. Let h = 32 + -32. Calculate the lowest common multiple of -3 + 19 + (2 - h) and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -202, -204, -208, -214?\nAnswer: -222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -294, -293, -292?\nAnswer: -291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107225681?\nAnswer: 17, 191, 33023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 186 + 6*(-8)\/(-6). Factor -m + 21*a**2 + 34*a + 3*a**2 + 184.\nAnswer: 2*(3*a + 5)*(4*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -39363\/55 - -3583\/5. Suppose 0*l = 2*l. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*l + 257 = -l, -3*h - 265 = -4*l. Let t = h - -91. What is the second derivative of -d - d**t - 15*d**4 - 6*d**4 - 4*d wrt d?\nAnswer: -264*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 23*y**5 + 10444*y**4 - 41136*y**3 + 38480*y**2 + 3664*y = 0. Calculate y.\nAnswer: -458, -2\/23, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -59609*k**2*z**2 - 298*k**2 - 2*k*z + 30*z wrt z.\nAnswer: -119218*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53621923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 110\/22 - 6\/(1 + 1). What is the second derivative of -16*w**3 - 3*w**2 - 49*w**3 - 65*w + 3*w**g - 89*w wrt w?\nAnswer: -390*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137930\/35961 not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**2)\/(i\/((i*i**(-8))\/i))*i\/(i*i**(-3\/8))*(i\/(i\/((i*i*i**0*i)\/i)*i))\/i*i assuming i is positive.\nAnswer: i**(-37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/36 and 11\/972.\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68300)\/(-51225))\/((8\/(-18))\/(22\/(-3))).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 PM and 2:05 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 14*d**2 + 24. What is the least common multiple of x(14) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4*f - 88 = 0, -75*f - 158 = -9*r - 76*f for r.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2188, -2\/3, 13, -4, -2\/9?\nAnswer: -2188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (4 - (-1 + 4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 23 (b) -4\/5 (c) -256 (d) 138\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4616 + -4617. What is the nearest to s in -149, -2\/15, 2\/23, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -342, -514, -686, -858?\nAnswer: -1030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -13*s**2\/4 - 9*s + 9\/4 = 0. Calculate s.\nAnswer: -3, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3 + 2)\/(-3))\/1. Let z = 6.09 + -3.07. Let d = z - 0.02. Sort -3\/8, x, d in descending order.\nAnswer: d, x, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*k - 1037 - 1385 = 3650 for k.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2995 in -0.0265, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-169)\/845)\/(6*1\/10)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3248 or 3249?\nAnswer: 3249","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -823 + 830. Suppose 3*g = -y + 230, -5*g - 214 = 2*y - 3*y. Calculate the highest common factor of u and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -5*n + 3*q - 3, 4*n - 2*q - 16 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*n - 21834, -4*n + 43*w - 45*w = 29142. Which is greater: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -38?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6 (b) 10.8 (c) -0.4 (d) -1\/2 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -32 (b) -2 (c) -0.1 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 3*t - 34. Let v be (-12 - -3) + t - 11\/(-3). Determine d, given that -v*d**2 + 0*d + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 14 = 4*k + 2*o, -10 = 5*o. Suppose 727 = k*r - 2*z, 231 = r + 4*z + z. What are the prime factors of r?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/696 + (-255)\/18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {q: 2, t: 6, z: 2, w: 1}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126764 is divided by 12188.\nAnswer: 4884","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34407 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -3, 680, -1.\nAnswer: -80, -3, -1, 680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003157 rounded to five decimal places?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a - 0*a - 3*a + 3*a, 247*a - 325*a - 36 = 3*n + 329*a for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/27, 2, -0.21, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, z: 5, b: 8}. Give prob of sequence nz.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2143 is divided by 490?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3462 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -401215?\nAnswer: -401213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of 4787*d**6\/6 + d**5\/5 + 2*d**3 - 13*d**2\/2 - 11*d - 4822. What is the third derivative of b(k) wrt k?\nAnswer: 287220*k**2 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, y: 3, z: 5, n: 2}. What is prob of sequence zz?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tsts when four letters picked without replacement from {t: 2, s: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000011094 to 7 dps.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 224, 461, 712, 983, 1280, 1609?\nAnswer: 1976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 14874 in decreasing order.\nAnswer: 14874, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l - 74 = -32 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 + -13 - (-28 + 29)) + 16?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2460, 2500, 2604, 2802, 3124?\nAnswer: 3600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 - 9 - 4 - 18*m**2 in the form s + w*m**2 + f*m and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from oooooooowooooooooo.\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27244 = -2112*v - 27668 for v.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -526 and -529 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 478\/5*h - 619\/5*h**2 - 17\/5*h**4 + 206\/5*h**3 - 48\/5 = 0 for h.\nAnswer: 2\/17, 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 0*d**3 - 4*d**3)*(0 - 1 - 3).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 0*k**2 + 18 + 3\/5*k**5 + 0*k**4 + 5*k**3 + 0*k. Find the third derivative of o(u) wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*n - 5*n + n)*(53 - 40 + 61)*(11 + 8 - 9) to the form v + b*n and give b.\nAnswer: 740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897042 is divided by 447382?\nAnswer: 2278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/((-3)\/(-6)). Let c(z) = 2*z**2 + 4*z + 3. Let y(k) = k**2 + 2*k + 2. Determine r*c(t) - 5*y(t).\nAnswer: t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 8*d**2 + 4*d. Let t = 0 + -5. Let y be n(t). Let v be (9\/y)\/(8\/(-10)). Is -1 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**4\/24 + 11*p**3\/6 - 5*p**2 + p. Let w be 8\/(-2)*(-3)\/(-4). Calculate the remainder when 12 is divided by x(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 74*a**2 + 531181*a - 23*a**2 - 531181*a - 21*a**2 - 29*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 take away 279758?\nAnswer: -279332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 6*i**2 - 1. Let d be f(-6). Let l be 3\/(d\/(-3 + 2)). Let n = 523 - 519. Solve -h - l*h = -n for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8837362.2 to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -71*a - 205. Let u be s(3). Let m = u + 447. Solve -25*g + m*g - 8 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -5 - 2*x + 0*x**2 + 1\/12*x**4 + 1\/6*x**3. What is y in c(y) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1349.7 - -1478. Let p = -128 + o. Sort -6, p, 1\/4.\nAnswer: -6, 1\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - 3. Find the third derivative of -5*u**2 + 4*u**y + 9*u**5 + 6*u**4 - 6*u**4 wrt u.\nAnswer: 540*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tu when two letters picked without replacement from tttullutltltttut.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 5*d**2 + 5*d + 35. List the prime factors of q(-11).\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -79*l**3 - 37*l - 8?\nAnswer: -474*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 20 = -s. Let v = s - -5. Solve v = -5*m + 2*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1532 + 10355. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 575470 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*g - 4 + 1 = 0, 3*g = 4*a - 12. Calculate the least common multiple of a and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + 6 + -3 - (-561 + 576).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(14\/(-70)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 - -23. Let l(y) = -y**3 - 5*y**2 - 7*y - 3. Let k be l(-3). Let -2\/9*t**2 + 0*t + 0 + k*t**3 + 2\/9*t**d = 0. What is t?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -198, -398, -598?\n\"Answer: -200*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 1801*z**2 + z - 1. Let j be m(-2). Let d = j + -4596. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 5, 15, -1\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2104376.\nAnswer: 2, 263047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 4*n**2 - 5*n + 2. Let l be h(5). Let s be -2 + 5\/((-5)\/3). Let f(r) = r - 2. Let o be f(5). Sort s, o, l in descending order.\nAnswer: o, l, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 17 + (108 - 135)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 57 = 449. Let z = 5 + x. Let t = z - -30. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 divided by -187007.\nAnswer: -152\/187007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/7 + 160\/(-35). Let n be (3\/(-9))\/(p\/(-2)). Suppose 3*s = -3 - 0. Which is smaller: n or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 12 = w. Suppose 0 = 2*b + 2*m - 6*m - 20, 4*b + 5*m - 14 = 0. Solve -4*j - b = w for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -4*i - 2, i + 2 + 9 = 3*y. Let o(m) = 9*m - 15. Let j(l) = -4*l + 8. Let z(b) = i*o(b) - 5*j(b). Calculate z(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/3 + 98*z\/3 + 32.\nAnswer: 2*(z + 1)*(z + 48)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11152*b**2*v**3 - 4573*b**2*v - b*v**3 + 4*v**3 - 23*v**2 wrt v.\nAnswer: 66912*b**2 - 6*b + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = z - 41, 22*z - 20*z + x = 5. Let i be (30\/(-24))\/(2\/(-8)). Solve -i*f + z*f - 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 5*v = 0. Suppose v = -2*o - 2*o. Factor 2\/3*c + 2\/3*c**5 + 4*c**3 + o - 8\/3*c**4 - 8\/3*c**2.\nAnswer: 2*c*(c - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1397731m?\nAnswer: 139773.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 605691 and 216.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -896060.9833 to the nearest ten.\nAnswer: -896060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o**3 + 7*o**2 - 5*o - 9. Let s = 211 - 215. Let q be j(s). What is the third smallest value in 1\/14, 4, 0.1, q?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 286 divide 30705?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -109, 149, 849, 2213, 4463, 7821?\nAnswer: 12509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/3666 and -151\/205296?\nAnswer: 205296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/10)*(g*g\/(g**(-10)\/g)*g)\/g)**(-7)*g**(-2\/13)*g\/(g*g*g**(-1\/3))*g**(-1)\/g**(-2) assuming g is positive.\nAnswer: g**(-35693\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - -1)*545\/654*3428\/(-5) is divided by 41.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 241*b**2 - 103*b + 127. What is m(4)?\nAnswer: 3571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 2 + 2, 0 = h - 3*z - 28. Suppose 0 = w + 2*w - 4*i + 406, 630 = -5*w - 5*i. Calculate the remainder when h is divided by w\/(-11) - 8\/(-44).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99877 + 99877 + 16*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - 3*f + 1. Let h(g) = -g**2 - 26*g + 2. Determine -h(c) - 3*u(c).\nAnswer: -2*c**2 + 35*c - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13629167?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.67 - 51748290854.\nAnswer: -51748290844.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 23078339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2271473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 4*i. Let m(q) = -13132581*q. Give t(m(l)).\nAnswer: -52530324*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -585*v - 580. What is the remainder when 148 is divided by f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 365\/25 - 2\/(-5) - 0 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 159665?\nAnswer: 159664.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 423 - 288. Calculate the remainder when a is divided by 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 6*w**2 + 9*w - 2. Let y be o(-8). Let x be 4\/8*-8 + 178. Let q = -39 + x. What is the greatest common divisor of y and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hho when three letters picked without replacement from hohooohhhhhho.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcccvvvv. Give prob of sequence vv.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11121307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 8, 43*s - 19888 = -2*v + 42*s. List the prime factors of v.\nAnswer: 2, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 10*r + 3*r.\nAnswer: 9*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 64*o**3 + 284*o**2 + 4*o**4 + 103 - 371 + 65 + 224*o - 373.\nAnswer: 4*(o - 1)*(o + 4)**2*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-3 + 4 - -1) + -8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 0)*(-4 - 2*h + 4) + 0*h + 0*h + h + (316 + 50*h - 316)*(1 - 13 - 25) to the form c + z*h and give z.\nAnswer: -1841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 202 + -116. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 59*w**2 - 19*w + 307. Is 2 a factor of d(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294803 is divided by 865?\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 11:21 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 6*g + 6 = g, 5*g + 5 = 5*p. Let w be (12\/(0 - -3))\/((-2)\/(-3)). Let r be w + p\/(4\/12). Is 3 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 3*o = -100. Calculate the highest common factor of o and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 12:16 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffxmfvmkzffxfz. Give prob of sequence vfxm.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**3 + 9*b**2 + 24*b + 123. What is y(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118*r + 235*r - 128*r)*(5 - 2 - 2).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 - 3*h + 2. Let z be m(0). Let y be -1 - (-6 - -4)\/z. Solve y = 3*r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 335, 599, 863?\nAnswer: 1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 95268 less than -2.02941?\nAnswer: -95270.02941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2174 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u*u*u**1*u*u*u*u)*u)**(1\/22)*u**(-2\/9)\/(u\/((u*u**(2\/5)*u)\/u)))\/(u**2\/((u*u\/(u**(-5)*u)*u)\/u*u))**(-18) assuming u is positive.\nAnswer: u**(-44597\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 3\/8 (c) -3 (d) -0.3 (e) -21.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 12*c**2 + 1\/5*c**5 + 0*c + 1\/24*c**4 + 0*c**3 + 0. What is the second derivative of s(q) wrt q?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3312 - -4?\nAnswer: 3316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8127, -14962, -21807, -28668, -35551, -42462, -49407?\n\"Answer: -x**3 + x**2 - 6831*x - 1296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45*h**3 - 22*h**3 + 190*h**3)*(-4*h - 4*h + h) + 6*h - 6*h - 3*h**4.\nAnswer: -1494*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {x: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -953, -956, -959, -962, -965?\nAnswer: -968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 12:46 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 4, 3, -3 in decreasing order.\nAnswer: 26, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 118745.040245293 + 0.4?\nAnswer: 118745.440245293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1574.19693 + -1587.197. Let a = 519 - 532. Let d = s - a. What is d rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 781923254 to the power of 1\/2, to the nearest integer?\nAnswer: 27963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30\/(-20)*3654\/(-27) is divided by 107.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from piviwpwwippplwiv. Give prob of sequence wvvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 639715.77 microseconds to hours.\nAnswer: 0.000177698825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((228\/56)\/(-3) - 87\/609 - -3)*-38.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxxxxuuuxxxxx. What is prob of sequence xx?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4242579?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*w**2 + 635*w + 72540?\nAnswer: 42*w + 635","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c, -f + 2*c + 86 = 7*c. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of -k**4\/24 + k**3\/3 - k**2\/2 + 32. Let j(z) be the second derivative of i(z). Let t(v) = -2. Give -3*j(o) - 4*t(o).\nAnswer: 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*r - 24, -4*t + 7*r + 12 = 3*r. Let o = t - -4. Suppose o*b = 7*b + 5*c - 140, 2*b + c - 53 = 0. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -2*n - u, -2*n - 7 = 3*n + 2*u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -7 + 20 - (-1 - -18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84066949 and 1.\nAnswer: -84066949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + s = 3*s - 56, 3*s = 2*h - 28. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180420151.\nAnswer: 180420151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + 0.1. Suppose -2*x + 2 = -5*k, 2*k = 2*x - 2*k - 4. Suppose 13 = 2*i - l + x*l, 4*l - 4 = 0. Which is the smallest value? (a) i (b) h (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**5 - 5*c**4 - 5*c**3 + 45*c**2 - 108 = 0 for c.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*l - 1419*l**3 - 1430*l**3 + 5690*l**3 - 1426*l**3 + 3*l - 1423*l**3.\nAnswer: -8*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 5*n**4 - 20*n**3 + 15*n - 30. Let x(j) = -j**2 + j - 2. Let i(h) = v(h) - 15*x(h). Factor i(p).\nAnswer: 5*p**2*(p - 3)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*u + 23 - 23.\nAnswer: -33*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.035 + -0.435. What is the closest to 1 in -5, h, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/(-12)*3\/(-2). Let c(x) = 14*x**2 + 4*x + 5. Let a(d) = 7*d**2 + 2*d + 2. Give f*a(u) - 3*c(u).\nAnswer: 7*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/65)\/(-3)*61\/183?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 878.2907 weeks to seconds.\nAnswer: 531190215.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -58 - 962016230292.\nAnswer: -962016230350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*h + 5*s = -136, -250 = -4*h - s. Is 7 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b. Suppose 122*v - 69 = 119*v. Suppose -v - 25 = -8*i. What is t(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 w when two letters picked without replacement from swwwwsgd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.6 - -62950289037.\nAnswer: 62950289043.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95\/7 or 14?\nAnswer: 95\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5755 - 5970. Sort 0, 4, -5, d.\nAnswer: d, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -14*u**5\/5 - u**3\/2 + 12877*u. Let i(z) = -55*z**3 - 2*z. Calculate 3*i(s) - 2*j(s).\nAnswer: -53*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in 0.3, 2, 6.7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 795*g**3 - 2148*g**3 + 575*g**3 + 1.\nAnswer: -2368*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 680 and 30175.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1695\/6)\/((-3)\/26). Let t = p + 2470. Calculate the common denominator of t and (4 - 124\/30)\/((-3)\/155).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:00 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3\/5 - 358*l**2\/5 + 2092*l\/5 - 2768\/5 = 0.\nAnswer: 2, 4, 173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -112.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**17*h**28)\/(h\/(h\/h**(3\/8)))**(-2\/67))**(-43) assuming h is positive.\nAnswer: h**(-138417\/268)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -591 + 592. Let v(t) = -4*t**2 + 2*t - 1. What is v(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00148249 to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zhzzzzzzzzzz. What is prob of sequence zzzh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(1\/23)\/v**(-1\/7)*(v\/v**(-1\/4))**14 assuming v is positive.\nAnswer: v**(5695\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -1, 0.3, 23?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26\/11 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - l - 2. Let k = -6 + 8. What is the remainder when c(-2) is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - x = 17, -5*t = -0*t - 4*x. Let j be (-62)\/t + (-6)\/(-12). Suppose -3*f = -2*u + j - 302, -363 = -4*f - u. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by (-13)\/(-1) + 0\/(11 - 18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -29*u + 25*u + 2*h, 4*h - 4 = 0. Solve -3*w - 10 = 5*c - u*w, -3*c + 5*w - 2 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1596*k**2*l**2 + k**2 - 59*k*l - k + 2*l wrt l?\nAnswer: -3192*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000089572 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s + 3*s + s)*(4 - 5 + 3) + (2 + 0 + 3*s - s)*(0 - 3 + 1).\nAnswer: 4*s - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*g - 89 = 0, 2*t + 43 = 3*t - 2*g. Suppose 4*v - t = -3*v. Suppose 0 = -p + 4*p - 30. Solve -6 = -2*q, -2*i - p - 11 = -v*q for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 193*y - 5. Let z(l) = 389*l - 13. Give -5*q(t) + 2*z(t).\nAnswer: -187*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l**2 - 2*l)*(0*l**2 + 2*l**2 + l**2 + (7*l + 14*l - l)*(-3*l + 1 - 1)).\nAnswer: 114*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*x = -8*x - 14. Suppose x*f - 1 = -13. Let l = 0.2 - 0.1. Which is the nearest to l? (a) f (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**13)**8\/((i\/i**0)\/((i**18*i)\/i)) assuming i is positive.\nAnswer: i**(-79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 33\/5 of a kilometer?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10460, 2, 413, -1 in ascending order.\nAnswer: -10460, -1, 2, 3, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h + 20. Let a be s(4). What is the tens digit of 4\/6*(3972\/a + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 227458 and 227458 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 43 = -3. Let x be ((-35)\/(-5) + h)*(-4)\/2. Solve j = -x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27782052.\nAnswer: 2, 3, 181, 12791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/((-60)\/(-5)*(-9)\/(-36))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288\/1008*3\/(-2) - 0\/1.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.05 - -0.02. Let q = -378.5 - -378. Which is the third biggest value? (a) -5 (b) v (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03289558 to 3 dps.\nAnswer: -0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16173 - (3 + (2 - 1)). Suppose u = 5*i - 111. What is the second derivative of -o**3 + 3256*o**2 - i*o**2 - 17*o wrt o?\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -101 and -161.\nAnswer: 16261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve n**4\/4 - 5*n**3\/8 - 3*n**2\/8 + n + 1\/2 = 0.\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -484*l**3 + 1415*l**2 - 2551*l**2 - 1692*l**3 + 1899*l**2 wrt l.\nAnswer: -13056","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 460 and 388400.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -97, -100, -101, -100, -97?\n\"Answer: z**2 - 6*z - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*k + 0*k + k)*(4*k + 0*k - k) + 2*k**2 + 3 - 3 - 5*k**2 - 7*k**2 + 2*k**2 to the form y + x*k**2 + v*k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 892174513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1697806 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 14002387 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5\/3, 0.2, 3\/8, -2, 2\/3, -117, -3327?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, l: 7}. What is prob of picking 1 g and 3 l?\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 13*u - 37. Determine l(13).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230 is divided by 101.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*o - j = 60*o - 25, o = -4*j + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4*((-15)\/(-468))\/(255\/102)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26728, -2, -4, 4 in descending order.\nAnswer: 26728, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 + 13*a - 12. Suppose -5*z - 4*n + 23 - 85 = 0, -4 = -2*n. Let v be x(z). Find the second derivative of -8*d + v*d + 0*d - d**3 wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 34*k + 12586. Give m(139).\nAnswer: -2009","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1452364108 and 0.73.\nAnswer: 1452364108.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -101*y + 223. Determine h(2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7878 and 19287768.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 193*x**4\/4 + x**3 - 501*x + 846. Differentiate l(p) with respect to p.\nAnswer: 579*p**2 + 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -678120 divided by 135624.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2 + 45522*v + 172687707.\nAnswer: 3*(v + 7587)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-42) + (-145)\/(-35). Solve 0*r + b*r + 10 = -2*y, r - 5*y - 14 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -20*u - 29. Let d(m) = 7*m + 10. Let l(a) = -17*d(a) - 6*i(a). Let k(y) = -9*y**3 - y**2 + y + 1. Let b be k(-1). List the prime factors of l(b).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 388684570?\nAnswer: 388684570.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - 4) + (2 - 1). Let q = 36 + -91. Let s = -55.3 - q. Which is the third biggest value? (a) j (b) -0.2 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 4*r = -5*u + 6, 3*u = r - 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 183 - 104. Calculate the remainder when z is divided by -4 + (0 - -21) + 3.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3077)\/(-4) + 190\/(-152) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453154 is divided by 2340?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 17. Let b(k) = -11*k**4 - 7*k**3 - 27*k**2 - 13*k - 14. Let w(l) = -7*l**4 - 5*l**3 - 18*l**2 - 9*l - 9. Let h(o) = i*w(o) - 5*b(o). Factor h(m).\nAnswer: -(m + 1)**3*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 7*f - 48 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 0. Let n(j) = -j + 10. Let z be n(9). Let x = -1.1 + 0.1. Which is the nearest to x? (a) 5 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 + -16. Let r = -19 + j. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 6\/209 (b) -2\/3 (c) 129\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 114, 334, 692, 1212, 1918, 2834, 3984?\nAnswer: 5392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 11) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 13) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73, -27, 91, 317, 687, 1237?\nAnswer: 2003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1344.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 818*r + 2. Let t(s) = -408*s - 1. Give -7*t(w) - 3*x(w).\nAnswer: 402*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 29083.\nAnswer: -3\/29083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*i + z - 5*z, -2*i + z = -14. Let l(w) = -w**3 + 13*w**2 - 15*w + 14. Let a be l(i). Let o = 418 - a. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*-4)**2 - sqrt(162)) + sqrt(14)\/(sqrt(77)\/(sqrt(44) + sqrt(11))).\nAnswer: -6*sqrt(2) + 2592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 237 = -3*g, 0 = f - 3*f + 5*g - 130. Let l = f - -106. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -43742903, -43742879, -43742807, -43742663, -43742423?\n\"Answer: 4*c**3 - 4*c - 43742903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 6*k - 35. Suppose 0*l - k*p + 228 = 4*l, -5*l - p + 264 = 0. Does 20 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 - 10\/(-8). Let n = l + 0. Sort n, -3, -1.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101021101 (base 3) in base 11?\nAnswer: -59863","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -378 + 379. What are the prime factors of -116*(7\/(-2) + b)?\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6*(-21)\/2 + 5. Let m = -1.7 - -0.2. Let n = 12 - 8. Which is the nearest to 1? (a) m (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2023*w - 4082*w + 2054*w.\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2576\/(-1820)*1\/19 - (-14)\/133.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185817, 743281, 1672393, 2973153, 4645561, 6689617, 9105321?\nAnswer: 11892673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(1\/32)*v*v**(-15))\/((v\/v**0)\/(((v\/(v*v**(-2\/5)*v)*v)\/v)\/v*v)))**(2\/75) assuming v is positive.\nAnswer: v**(-2341\/6000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 - 22. Let u = -44.27 + 44.47. Which is the closest to -2? (a) v (b) 1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44007145 divided by 13817?\nAnswer: 3185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -28*w**2. Let h(q) = 2*q - 3. Let r(k) be the second derivative of -k**2\/2 + 3*k - 3. Let s(p) = 2*h(p) - 6*r(p). Calculate f(s(y)).\nAnswer: -448*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -158 = -4*f + 202. List the prime factors of f.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose -w = o*z - 3*z - 30, -2*z - 112 = -4*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: a968 (base 15) to base 3\nAnswer: 1211012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1854 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 5*z**2 + 5*z + 3. Suppose -4*n = -15 + 3. Let l be c(n). Suppose q + 4*q - 105 = l. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*n + 13 = -47 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/4 - 7472359*v\/2 + 7472358.\nAnswer: (v - 14944716)*(v - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -617, -1257, -1931, -2639?\nAnswer: -3381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/4 + 33*c**4\/4 + 83*c**3\/2 - 343*c**2\/2 + 747*c\/4 - 259\/4 = 0. What is c?\nAnswer: -7, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from ffffwffffffffffffff.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 356\/12 - 2\/(-6). Let o = 50 - d. What is the greatest common divisor of o and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1807 divide 4038461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*y + 80. Let c = -13 + y. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 + 6*t**2 + 6*t + 10. Let g = 1 - -6. Let d be q(g). Suppose -d*k + 124 - 19 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 16 = k. Suppose 0 = 4*t + t - 15. Put k, t, -5 in decreasing order.\nAnswer: k, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -269*a + 247*a - a**4 - a**2 - 2 + a**2 to the form d*a**2 + w*a**3 + l*a + k + r*a**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4109 + -3964. What is the greatest common divisor of 1798 and c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a. Let y(f) = 20*f + 6. Let q be y(-2). Let h be q\/119 - 19\/7. Let t(m) = -6*m. Let d be (0 - 2)*(-10)\/(-4). Determine d*p(b) + h*t(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2020 a factor of 84678400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -15*r + 33. Solve -2*m + 3*i = 7, r*i + 2 = 7 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -5*x**5\/18 - 5*x**4\/36 - x**3\/36 + 8*x**2. Factor l(m).\nAnswer: -(10*m + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -190 - -310. Let n = -4111673.63699943 - -4111553.637. Let w = n + o. Round w to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -2*v**5\/5 + 2*v**4 - 2*v**3 - 30. Solve m(n) = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.5 - -8. Let r = -9079 + 9078. Is n >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**2. Let p(q) = q**2 - q - 2608. Calculate p(s(g)).\nAnswer: 4*g**4 - 2*g**2 - 2608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w - 2. Let d be b(-4). Suppose 2*v + 4 = -v - 2*m, m + 1 = -d*v. Suppose -4*h + 1 = -3*g + 8, 2*g + 14 = -v*h. Which is smaller: -5 or h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-13 - -12 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -0.3 (c) 0.1 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 57851*k - 39253 wrt k?\nAnswer: 57851","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 133*x**3 - 11*x**2 + 12. Let g(o) = -45*o**3 + 3*o**2 - 4. Calculate -7*g(k) - 2*y(k).\nAnswer: 49*k**3 + k**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/17)*w**(-3))\/((w**3\/w)\/w**(-1\/4)))\/((w*w**(-2))**(-45)*w**7\/w**(-4)) assuming w is positive.\nAnswer: w**(-4089\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139770811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/5 + 222*k**2\/5 - 1049*k\/5 - 7812\/5.\nAnswer: -(k - 217)*(k - 9)*(k + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 + 0*m**3 - 81*m - m**3 - 81*m - 13 + 12 + 159*m. Determine p(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*m + 5 = -106*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 481 + -478. Suppose 2*b = 6*b + w*b. Solve x = -3*n + 4, b*n + 2*x = 2*n - 8 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 436 = 7*q, 2*q = 3*i + 121. Suppose 4*p - 585 = -105. Suppose 5*o + 5*w = p, 2*o = -o - 5*w + q. What is the remainder when o is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*y = -5*z - 254*y - 747, 3*y + 155 = -z. Does z = -597\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -141*c - 191*c - 1230, -y + 185 = -4*c + 120 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 22*j**2 - 204*j + 11. Let i be y(7). Factor -22\/5*s - 2\/5*s**2 - i.\nAnswer: -2*(s + 1)*(s + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4990 a factor of 162344660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 78*t**2 + 910*t + 1410. Determine p(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -94003710 to the nearest one hundred thousand.\nAnswer: -94000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 + 28.71. Let k = 28 - l. Let g = -0.01 + 3.01. Put k, -4, g in descending order.\nAnswer: g, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + 14df?\nAnswer: 14de","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78*m**4 + 2*m**2 + 440 wrt m.\nAnswer: 312*m**3 + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let w = 31 + o. Let d = 28.7 - w. Which is the biggest value? (a) 1\/4 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 1332.\nAnswer: 14652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*u - 110*u = -18565. List the prime factors of u.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -8*u - 26. What is g(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.008 - -0.138. Let m = 0.145933 - h. Round m to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 19 - 4 - 30308*o - 47689*o. Let i be c(-5). Round i to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -219 + 227. What is the closest to 4 in 1, -5, z, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 2*f**2 - 30*f - 80. Let b be r(-3). Solve 21*n - 10*n - b = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 707 + -705. Let u(k) = -2*k**2 + 3*k. Let t(j) = 2*j**2 - 2*j. Determine n*u(s) + 3*t(s).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 7*f. Let y be t(6). Let b = y + -4. What is the third derivative of 0*p**2 - 2*p**2 + b*p**6 - 3*p**6 wrt p?\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 8. Let k(q) = q + 3. Let h(c) = 2*d(c) + 7*k(c). Let s be h(0). Let j be (-3)\/(-12) + ((-121)\/44)\/11. Solve j*f - f = s for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16\/(-4)*1839\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*b**3*f**3*v**2 + 5*b**3*f**2*v + 3*b**3*f**2 - 2*b**2 - 7544*b*f**3*v**2 + 9*b*f*v**2 - 145*f*v wrt f.\nAnswer: 240*b**3*v**2 - 45264*b*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a5 (base 13) to base 5.\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 157 + -160. Is i greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2740.01 - -2740. Let j = -3 + 11. Let h be 130\/40 + (-2)\/j. Which is the biggest value? (a) -2 (b) h (c) p (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 11588635\nAnswer: -1158863.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -193*g**2*u**2 - 59*g**2*u - 81*g**2 + 18*g*u**2 + u**2 + u - 490464 wrt g?\nAnswer: -386*u**2 - 118*u - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/7 (b) -2.2749 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 1292?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 divided by -3?\nAnswer: -40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2877 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((510\/36)\/85).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/34 - ((-363)\/(-51) + -10). Solve 0*r - 6 = s*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*t - 20 = -9*y + 23*t, 4*y = 2*t - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = -5*v - 143, -5*s + 279 = -9*v + 172 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqdq when four letters picked without replacement from {d: 1, m: 2, a: 3, q: 4, j: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -7 + 19 + -2 + 3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 0*h = 338. What is the remainder when h is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 255, 252, 261, 288, 339, 420, 537?\n\"Answer: r**3 - 10*r + 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2084762 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 418?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ummijtb. What is prob of sequence mji?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1))**(2\/73)*(d**(2\/3)*d)**(33\/7)*((d*d*(d**(1\/4)*d)\/d*d)\/(d**(-5)*d))**4 assuming d is positive.\nAnswer: d**(18820\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 o, and 1 e when three letters picked without replacement from ioezqiyyeiyiyeq?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16973?\nAnswer: 11, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 2*o + 89. Let w = o - -68. Let s(r) = r**3 + 3*r**2 - r - 3. Let b be s(-3). Sort b, w, 3.\nAnswer: b, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 3*j**3 + 64*j**2 - 47*j - 53. Let h be i(-22). Let k = 114 + -49. What is the greatest common divisor of k and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1333248 divided by -1536\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 25 + 2629605107732\nAnswer: 2629605107757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*m - 401 + 401)*((0*m - m + 2*m)*(-576*m + 576*m + 55*m**3) + (2*m**4 + 0*m + 0*m)*(0 + 2 - 3)).\nAnswer: 689*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1255895*h*q**3 - 44*h*q**2 + 4*h*q + 465*h + q**3 + 2 wrt q.\nAnswer: 7535370*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18382.52837 rounded to the nearest 1000?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q**2 + 3498*q - 1519276 = 0 for q.\nAnswer: 803, 946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 5.3. Let r = x - -0.3. Let f = 211.3 + -211. What is the nearest to 0 in r, -0.4, f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1068 or -39\/4?\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 - 4*r**2 + 3*r - 2. Let b be y(2). Suppose o = b*x - 65 + 1, -x = -2*o - 9. Differentiate -4*t - 36 + x*t - 30 + 70 with respect to t.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a meter in centimeters?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2875 and 10510655?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - (-173 - -46)) + (-1 - -8)\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*q - r, 4*q + 2*r = -0*q + 28. Calculate the highest common factor of q and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 237 and 4441?\nAnswer: 1052517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16082, -32163, -48248, -64337, -80430, -96527?\nAnswer: -112628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.58142mg in tonnes?\nAnswer: 0.00000008258142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 + 5)*(-4)\/(-2). What is the common denominator of (95\/180)\/(k\/(-28)) and -81\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w - 2*w + 4*w)*(-3*w + 4*w - 2*w) + 1269 + 142*w**2 - 1269 - 453*w - 26*w**2 + 453*w to x + m*w + o*w**2 and give o.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-116 + (120 - 68)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -801\/8 - -101. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = 14*v + 84 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.2, 536, -1\/9, -6\/31, 2?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 0.1113.\nAnswer: -0.20034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(561)*-3 + sqrt(561))\/sqrt(11))\/(sqrt(384)\/sqrt(8)) + 2 + -4.\nAnswer: -2 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = -16*i - 18. Suppose 3*o + 2*p - 14 = 0, 0 = 5*o - p + i*p - 30. Solve 2*h + 10 = o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3689 and 465.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4558290*o*w**2 + 130*o*w - 70997*o wrt w.\nAnswer: -9116580*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0.8. Let j = 0.321 + -0.721. What is the closest to i in 4, -0.3, j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.04, 4, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 24*v**2 - 4*v - 4. Let o be y(-2). Suppose -5*s - o = -4*j, 2*s - 1 - 7 = 0. What is the greatest common factor of 75 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 25310 and 263.\nAnswer: 6656530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2. Let r(m) be the third derivative of 0*m**4 + 0*m**3 + 0*m + 1\/60*m**5 + m**2 + 0. What is r(v(l))?\nAnswer: l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 6*r**2 - 4*r + 3. Let j be m(5). Let o = 60 + j. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g - 1 - 3*g + 24*g + (g - 2*g + 0*g)*(4 - 1 - 2) + g - 4*g - 2*g.\nAnswer: 11*g - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10345 divided by -4?\nAnswer: 10345\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -367, -741, -1115, -1489, -1863, -2237?\n\"Answer: -374*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 24*(-12)\/(-360) - 402\/(-10). Suppose -b*n + 51*n = 30. Solve -3*w - n*a + 8*a = -27, 0 = 3*w + 4*a for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 - 0.57. Which is the third smallest value? (a) r (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/30 and -35\/11229?\nAnswer: 112290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003315 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132422354 (base 6) to base 3.\nAnswer: 11222111000021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 22*n + 18. Let l be z(0). Solve 21 = 25*a - l*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5384527 rounded to the nearest one hundred thousand?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1852511 or 24082638\/13?\nAnswer: 1852511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 13\/3, -2, 0.8 in decreasing order.\nAnswer: 13\/3, 4, 0.8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 926678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -4\/5, 4, -1\/4, 3\/7 in descending order.\nAnswer: 4, 3\/7, -1\/4, -4\/5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 5*w - 35, -5 = 4*w - 5*f - 42. Let j = w - 1. Solve -d + 1 = -j*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 715\/124 + 14\/93. What is the common denominator of (-572)\/136 + -8 + 10 and d?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3 - 11075*c**2\/3 - 20282*c\/3 + 3688\/3 = 0. What is c?\nAnswer: -1844, -2, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Let b be 2\/(4\/108*-3*-9). Is b >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 9*v**2 + v + 64. Let j be p(12). Which is smaller: j or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2767*z. Is j(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40 and 136?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-1 + 1) - (-357 + 360).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (r + 3*r - 16*r)*(-146*r - 103*r + 15*r)*(-2 + 5 + 0) as z*r + w + x*r**2 and give x.\nAnswer: 8424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 595950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - -4 - 10\/3. Let h(x) = -x**2 - 4*x - 4. Let n be h(-4). Let d = 0.2 + 2.8. What is the closest to z in d, n, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 6:18 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(((-486)\/(-12))\/(-9)) - 0)\/(-78 + 171)?\nAnswer: 2\/279","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 22*z**2 + 12*z - 260. Determine v(-23).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1587, -1589, -1591?\nAnswer: -1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -59, 5 in decreasing order.\nAnswer: 5, -2, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 1466*v**2. Let k(a) = -24*a + 2. Give i(k(d)).\nAnswer: 844416*d**2 - 140736*d + 5864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 - 61 - 7*c + (-c + 3*c + 0*c)*(2 - 1 + 0) + (-3*c + 0*c + 2*c)*(4 - 3 - 2))*(-4*c + 0 + 0) in the form p*c**2 + n + w*c and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -99*u**5\/5 - u**3\/3 - 34*u + 35. Find the third derivative of q(t) wrt t.\nAnswer: -2376*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 844916014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51574 is divided by 4297.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3 = 13, -3*b - 2*v + 65 = 0. Suppose r + b = 37. What is the tens digit of ((-29)\/6)\/((-2)\/r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 17, v: 3}. What is prob of sequence ava?\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*y. Let k = 33.8 + 12.2. Let x = k - 45. Which is the nearest to y? (a) -0.3 (b) x (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 8:12 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28664913?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -9*t + 36. Suppose 0 = -5*k - t*k + 18. Suppose -4*d = k*p - 196, p + 17 = d - 35. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 - 4*m + 10. What is the hundreds digit of g(-16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1597.\nAnswer: 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 7 = 103. Let j be (18\/(-8) + 3)\/((-2)\/n). Solve 15 = -c + j*k, 4*c = k + k - 20 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b. Let m(s) be the third derivative of 77*s**4\/24 + s**3\/6 + 2*s**2 - 50*s. Determine c(m(a)).\nAnswer: 154*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/70 and -52\/3351397?\nAnswer: 33513970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l, -4*o + 2*l = -2*l - 132. Let m = -40 + o. Let w(h) = h**2 + 8*h + 16. What is the units digit of w(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**(-2\/7))\/h**(-2\/19))**(-38\/7)*(h*h**2\/h)\/(h**(-8)\/h)*h**(1\/6)\/(h\/h**(-1\/3)) assuming h is positive.\nAnswer: h**(671\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-48.\nAnswer: -432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -118559 + 59280 - 7312*z + 59282 as u*z + y and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y - 20. Let f(i) = 321*i + 5. Calculate k(f(u)).\nAnswer: -642*u - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22691 or 22153?\nAnswer: 22691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 8.99897. What is o rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/153153 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 255*l**2 - 44*l + 38*l + 3*l. Let w(n) = 3*n. Calculate y(w(d)).\nAnswer: -2295*d**2 - 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 2*o + 1. Let m be v(-1). Let c be 378\/84*(-40)\/(-9). Solve -5*b + c = -m*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 23001.11 millennia?\nAnswer: 230011.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 12. What is the remainder when 15 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + sqrt(32) + sqrt(128)\/sqrt(4))**2 + 3 + -2.\nAnswer: -64*sqrt(2) + 142","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvddbbbdbbttb. Give prob of picking 2 d and 2 t.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*q - 2*q**3 + 73*q + q**3 - 142*q - 26*q**2 to the form k*q**3 + t*q + g + j*q**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-18*(-7)\/(-14))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, a: 4, u: 1, n: 2}. Give prob of sequence nnu.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*c**2*k - 34*c*k + 190*c + 2*k + 339922 wrt c?\nAnswer: -34*c*k - 34*k + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kr when two letters picked without replacement from {n: 1, i: 2, a: 1, k: 1, c: 2, r: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 1. Let l(n) = -n**3 - 10*n**2 + 2*n + 15. Let h be l(-10). Sort s, h, 2 in ascending order.\nAnswer: h, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/39 + 3\/26. Find the common denominator of v and 50.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -11*p**4\/12 + p**3\/3 + 3*p**2\/2 + p. Let o be w(-3). Let g = -49 - o. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10333 (base 5) to base 10\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-2) - (-6*39 + 5). Let t = p - 674\/3. Which is smaller: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 4*i - g - 235737, 3*i + g + 176803 = 0. Let p = 82934 + i. What is p rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycqq when four letters picked without replacement from {c: 1, y: 7, q: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 5:11 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34486 divided by -43.\nAnswer: -802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16698?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1 (b) 1\/4 (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/12 and ((-50)\/(-16))\/((-3)\/(-4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1016.5 + 13.1559\nAnswer: -1003.3441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 + 36*d + 320. Let u be c(-20). Let w be 6*(14\/(-6) + 2). Let l = 4\/13 - 37\/78. What is the closest to w in 0.1, u, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 545 - 524.08. Let f = -28.73 - -50.73. Let b = v - f. Round b to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + 132 = 2*c, -3*c - 6 = 0. What is the remainder when 271 is divided by x?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = y - 29, 0*y = -4*y - a + 32. Calculate the highest common factor of 18 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/23)\/x**(1\/10)*(x\/(x*x\/x**0))**32 assuming x is positive.\nAnswer: x**(-7363\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7 + 259\/(-42) - (-1334011)\/42?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132 - 138 = 6*k. Calculate the common denominator of (2 - (-429)\/k)*(-15)\/20 and (-4)\/(-2) + (-109)\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.023943 rounded to one dp?\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of l**4\/4 - 14*l**3\/3 - 15*l**2\/2 + 3*l - 30. Let r be m(15). Solve r*o - 5 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965717847 a multiple of 351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 361.9301217 and 1.5619.\nAnswer: 363.4920217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/10*-6*4\/21. Suppose 6*r - g*r = 1826. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0*k**2 + 0*k**3 - 7\/6*k**4 + 0 - 3\/5*k**5 + 3*k. What is the third derivative of n(m) wrt m?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 4*k + 13 = 3*w, w + 14 = -3*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -10) + (-8 - -5) - 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22136545.56542 - -22136839. Let o = n + -0.21458. Let l = o - 296. What is l rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tutauugumtmtutat. Give prob of sequence aa.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(1\/8)))**(-2\/13)\/(b**(2\/3)*b**(17\/3)\/b) assuming b is positive.\nAnswer: b**(-835\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16018.02kg to micrograms.\nAnswer: 16018020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-4 - (4 + -6) - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 5*u + 37 = -5*b, -113*b + 12*u - 3*u - 11 = -116*b + 5*u for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5266.7 rounded to the nearest 100?\nAnswer: -5300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6313 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q + 3. Let l(v) = -v - 1. Let g(u) = -c(u) + 2*l(u). Let w be g(5). Suppose -w = 5*s, -3*p + 7*p - 3*s = 31. Solve y + 25 = -p*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, n: 3, m: 1, f: 4, z: 5}. What is prob of sequence cf?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -7*y + 16. Sort 2, y, 3.\nAnswer: 2, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 13*s - 20 = -4*v, -2*v = 5*s - 7. What is the tens digit of 263 - v\/(-3) - -4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/36 and -119\/168876.\nAnswer: 168876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*d - 24545 = -26247 for d.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (-1 + sqrt(11))*6)**2*-3.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 53, 73, 93, 113?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -505.077.\nAnswer: -252.5385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5 + (2*sqrt(25)*-1)\/sqrt(5) + ((sqrt(160)\/(-2*sqrt(8)))\/sqrt(4))**2 + 5).\nAnswer: -8*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2193231*c**3 - c*r + 5284448*r with respect to c.\nAnswer: 6579693*c**2 - r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -50 - -51.95. Let v = -0.05 - j. Let d = -5.24 + 1.24. What is the closest to 0 in -2\/9, d, v?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40c3d8 (base 14) in base 15?\nAnswer: -2d261c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 41338 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 11960.499 months in millennia?\nAnswer: 0.99670825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-2 - -9) + -6 - -22).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 22 - (0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 5\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.076 and -2743?\nAnswer: -208.468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 4*m + 4. Let s(z) = -43*z + 216. Let r be s(5). Determine g(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36635\/8411 or 3?\nAnswer: 36635\/8411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 3. Let l(w) = -102*w - 16. Give 6*k(t) + l(t).\nAnswer: -90*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.36 and 0.1.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2036 = z - 1991, -4*z - 12*m = 180 for z.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1814 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 3\/2*d**2 + 0 - 1\/3*d**3 + 3*d. Calculate the remainder when 74 is divided by w(-8).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 210195080 and 1725482?\nAnswer: 2312145880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**2 + 5*u - 293. Let w be v(11). Let j(r) = 2*r + 1 - 3*r**2 + 4*r**2 - 6*r. Give j(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in two ninths of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**5\/20 - 17*d**4\/12 - 8*d**3\/3 + 2*d**2 - 3*d. Let p be h(-16). What is the nearest to 0 in 0.3, p, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150*w + 955 + 695 = 0 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13251 + -66256\/5. What is the closest to 2\/3 in c, -1153, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 103 = -5*n, 3*n = b + n - 16. What is the lowest common multiple of 12 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -598261 times -0.1?\nAnswer: 59826.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -248, -368, -500, -650, -824, -1028, -1268?\n\"Answer: -o**3 - 113*o - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -73217\/22 + 3329. Which is the biggest value? (a) z (b) -4 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1138786 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -55.6 take away -0.5?\nAnswer: -55.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (0 + -3)) + (22 - 24 - -17) + 24\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -367.127 rounded to one decimal place?\nAnswer: -367.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 0)*(c + 6 - 6 + (-2*c - 2 + 2)*(2 + 3 - 3)).\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -302331321141 + 0?\nAnswer: -302331321141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87 + 40 + 47 + 11*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*50*(-70)\/1225)\/((-81)\/(-378))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1025839, 0, -0.2 in descending order.\nAnswer: 3.1025839, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 7, 1 in decreasing order.\nAnswer: 7, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -43745\/9 and -4862 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5.1, -0.07, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 14. What is the remainder when l(-15) is divided by 103\/7 + (-8)\/(-28)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228108.\nAnswer: 2, 3, 19009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-224)\/(-119) - 2) + 1400\/11322. What is the third smallest value in 3, z, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -26\nAnswer: -2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - s + 2. Let y(j) = -10*j - 18. Let m be y(-2). Calculate t(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 476425 and 1711.\nAnswer: 13816325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y - 10*y - 3*y**3 - y**3 + 2*y**3 - 7*y.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -660 (b) -2 (c) -1\/200 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 59283886 - 116583881. Let n be (-11 - -6) + m - 0. Round n to the nearest one million.\nAnswer: -57000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13609600 and 6804800.\nAnswer: 13609600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 3*g**2 - 12*g - 6. Is w(-5) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 6*g**2 + 5*g - 4. Let b be z(-5). Let v(l) = l**2 + 2*l + 2. What is the units digit of v(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17420 - 5?\nAnswer: -17425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -3. Suppose 4*b - 3*u + 30 = -5*u, -y*b - 3*u = 25. Let j = -36 - -39. Put j, b, 5 in descending order.\nAnswer: 5, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of -r**7\/105 - r**3\/6 - 3*r**2\/2 - 2*r. Let j(v) be the first derivative of b(v). What is the derivative of j(q) wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5338, 10721, 16202, 21829, 27650, 33713, 40066?\nAnswer: 46757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -4*c**3 - 2*c**2 + c - 1. Let d(o) = -2*o**4 + 116*o**3 - 3062*o**2 + 21006*o - 45006. Let r(a) = d(a) - 6*g(a). Suppose r(k) = 0. What is k?\nAnswer: 5, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 2 (b) 4\/5 (c) -6 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13118236 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09 times 305?\nAnswer: 27.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -269, 33955 in descending order.\nAnswer: 33955, -4, -269","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 876631998?\nAnswer: 2, 3, 11, 13282303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.7 - 2. What is the third biggest value in w, -8, -0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2983\/5763 + 4\/339. Let d = -12\/119 + m. What is the biggest value in 1\/4, d, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*w**2 + 91*w**2 - 181*w**2 - 43*w**3.\nAnswer: -43*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 123 = -5*l, 0*l = 3*t + 2*l - 102. Suppose 46*x = 43*x - t. Let j(o) = -o**3 - 13*o**2 - 10*o + 23. Let f be j(x). Which is smaller: 1\/19 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1647 * 84.\nAnswer: 138348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(4 - 38\/10). Suppose -k*p - 5 = -0. Is 9 a factor of 2\/p*1 + 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -5, 5, 2, 2\/15, -4100?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/52 + (-4)\/(-26). Let h = w + 33. Let g = 17 + -5. Calculate the remainder when h is divided by g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175 - 161. Let v = -11 - -1. Let o = v + l. Is o a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -2534154314?\nAnswer: -2534154314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 2*o + o = -10 + 5 - 19, 0 = 2*t - 9*o + 12 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 2*o**6\/15 + 18*o**5\/5 - 21*o**4 + 8*o**3\/3 + 168*o**2 - 287*o + 1. Factor y(h).\nAnswer: 4*(h - 2)**2*(h + 1)*(h + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 43862*h + 65643 wrt h.\nAnswer: 43862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -671*m + 153*m + 76*m + 4*m - 2*m - m + (-m + 2*m + m)*(-2 - 2 + 6) - 5*m + m + 2*m to the form v*m + p and give v.\nAnswer: -439","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l + 364482 - 28482. Round l to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 + 10*c**4 - c**4 + 3*c**2 + (-2*c**2 + 4*c**2 + 0*c**2)*(1 - c**2 - 1).\nAnswer: 7*c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -26. Let d(p) = f*p**3 - 1 - 8*p**3 - 9. Let y be 78\/182 - (-3)\/(-7). Determine d(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmkkkcckkmkkkckakck. What is prob of sequence kaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) 2\/227 (c) 7 (d) -2 (e) 1\/4 (f) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -14*d**3 - 112*d**2 + 35*d + 10. Let v(i) = 22*i**3 + 168*i**2 - 56*i - 15. Give -8*b(p) - 5*v(p).\nAnswer: 2*p**3 + 56*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -297\/4 + 74. Let q be (4 - (-96)\/(-15)) + 2. Which is the closest to j? (a) q (b) 0.05 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 - 2*u**3 + 2*u**3)*(9 + 3*u - 9 + 4*u - u - 2*u + 0*u - 3*u + 2*u + 4*u + 0*u - 3*u + (-u + 2*u - 3*u)*(-1 + 2 + 0) - u + 3*u + 0*u).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4340796799 take away -0.72?\nAnswer: -4340796798.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k - 180. Let c(b) = 246*b. What is c(f(w))?\nAnswer: -492*w - 44280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26464267.\nAnswer: 26464267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 2*s**2 - s + 5. Let w be g(2). Solve -35 = w*d - 10*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 313415112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 2*w**5\/25 + 3*w**4\/20 - w**3\/15 - 3*w**2\/10 - w\/5 + 27. Factor y(k).\nAnswer: (k - 1)*(k + 1)**2*(2*k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-58) - (-26419984)\/(-11716). Which is smaller: -2257 or m?\nAnswer: -2257","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 9:15 AM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1871 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12103111302111 + -1?\nAnswer: -12103111302112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 163 - -5?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byay when four letters picked without replacement from {a: 3, b: 4, p: 1, y: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00048327 rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31471 - -31472. Calculate the smallest common multiple of 1468 and d.\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4503.7 + -4503.746894. Let i = -0.0473 - c. Round i to 5 dps.\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - 1. Let b = 0 - -3. Put b, x, 0 in increasing order.\nAnswer: x, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - 2*o**2 + 3*o + 3. Let k be f(-3). Suppose k + 0 = -3*c. Sort c, -3, 4 in ascending order.\nAnswer: -3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 14545933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3127853 to the nearest integer?\nAnswer: 1769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 60\/(-6)*112\/420\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6096952?\nAnswer: 2, 283, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8171c + 339?\nAnswer: 81a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*x + 338 = -279*x. Solve -4*b + 66 = -x*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 2. Let f(k) = 13 + 24 + 14 - 60 + 9*k. Let v be 6 + (-4)\/(-12)*0. Determine v*f(s) - 26*z(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**4 - 166*n**3 + 13*n**2 - 11*n.\nAnswer: -24*n - 996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69055 divided by -31.\nAnswer: -69055\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-18))\/(20\/5)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32\/523 + 758\/4707. What is the nearest to 3 in -750, 1, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*s + 81 = -6*s. Let j(z) = -z + 18. Let f be j(14). Suppose f = 3*u - 20. Solve s*o - o + u = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 312, 447, 676, 1005, 1440?\nAnswer: 1987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 56216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1. Let a(m) = -m**3 + m + 18. Let j be a(0). Let i(r) = 1740*r**2 - j - 1740*r**2 - 2*r**3. What is -36*g(u) - 2*i(u)?\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, o: 1, l: 1, j: 1, s: 1, r: 2}. What is prob of sequence jro?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -30 + 42*m + 2*m**2 + 6*m**2 + m**2 - 7*m**2. Does 34 divide c(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.941612l in millilitres?\nAnswer: 1941.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of m**4\/4 - 2*m**3\/3 - m**2 + 3*m + 171. Give r(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*a - 13*s + 52 = -81*a + 4*s, -a = -5*s + 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 254353 by -1.\nAnswer: -254353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/4)*t)**(13\/2)\/(t**(-25)*t*t\/(t\/t**(-2\/13))) assuming t is positive.\nAnswer: t**(2681\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 635 + 705. What is the thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8607*o - 34476. Determine z(-4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*r + 545 = -5*l, l - 11*l - r = -12*l + 16 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*g**3 - 3*g**3 - 3*g**3 + (0*g + 0*g - 2*g)*(2*g**2 + 4*g**2 - 5*g**2) - g**3 + g**3 + 2*g**3 + (5*g**2 - 3*g**2 - g**2)*(-36*g + 88 - 88).\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3275*y**3 - 1638*y**3 - 3*y - 178*y**2 + 1 - 4 - 1636*y**3 to b*y**2 + o*y**3 + w*y + h and give b.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 62286235, 62286219, 62286203, 62286187, 62286171, 62286155?\n\"Answer: -16*f + 62286251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(1331))*2 + -3.\nAnswer: -3 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 - 34. Let t = q - -24. Does 17 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 116122240 to the nearest integer?\nAnswer: 488","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-3)\/m)*m\/(m**9*m)*m*m**(1\/4)*m*m*m\/m**(1\/6))**(1\/28) assuming m is positive.\nAnswer: m**(1\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6.2? (a) 0.6 (b) 1\/6 (c) 0.5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5376 and -23\/280.\nAnswer: 26880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 724 and 845632?\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 21 - 306 - 373 = -6*c for c.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s - 280. Suppose -8607 = 37*b - s*b. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 - 5*h + 4. Suppose 0 = n - 2 + 7. Let l be q(n). Suppose x + l*x = 85. List the prime factors of x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1007 and 10123.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 887, 35 in ascending order.\nAnswer: 0, 35, 887","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 - 383*v**4 - 41521*v**2 - 3 + 41522*v**2 - v**3 as h*v**2 + o*v + t*v**3 + d*v**4 + m and give d.\nAnswer: -383","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -0.2, 0.01, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 0*h + 5 = 0. Suppose -3*c + 0*t + h*t = 16, 2*c + 4*t = 26. Suppose -7*w = -c*w. Solve w = -q + 6*q + 15, 5*q = y - 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*a + 3)*(-a + 0*a + 0*a)*(0*a**3 - a**3 + 1 + 0).\nAnswer: -2*a**5 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let r be ((-16)\/(-8))\/(k\/2). Suppose -43 = -4*y + h, 0*y - 2*y + 4*h + r = 0. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2 + 2 + 2*r**2. Let m(z) = -z**2. Let h(f) = 28*f**2. Let x(l) = -h(l) - 20*m(l). What is x(n(a))?\nAnswer: -32*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (43 + -58)) + (1 - 2) + -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1\/7, 10\/21, 527\/2 in descending order.\nAnswer: 527\/2, 10\/21, 0.1, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b**3 + 6*b**2 - 3*b - 3. Let z be a(-2). Solve 7*w = z*w + 12 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = -2*m + 5*m. Is (-10)\/m + 266712\/136 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, -3, -23, 2.\nAnswer: -23, -3, 2, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, d: 4, t: 1, a: 1, y: 1}. Give prob of sequence tda.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 9*k**2 - 8*k + 3. Let t be v(8). Suppose t*y + 40 = 5*h, 2*h + 8 = 3*h + 2*y. Suppose j - h = -j. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -244, -238, -218, -178, -112, -14, 122?\n\"Answer: o**3 + o**2 - 4*o - 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 15554 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-148)\/(-43)*(-12)\/(-72) and 138\/297 + (170\/(-90) - -2).\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i + a = 31*i - 9356, 0 = -2*i + a + 3740. Calculate the highest common divisor of i and 1170.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3 (c) -3 (d) 18\/11 (e) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 46\/(-16) + (-8)\/64 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + r = -23, -6*k + k + 4*r + 17 = 0. Suppose -y + 49 = k*w, -3*w - 2*w - 2*y + 48 = 0. List the prime factors of w\/(-65) - 444\/(-13).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 22. Find the second derivative of -2*z**5 - 4*z**y - 6*z + z**5 wrt z.\nAnswer: -100*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/46? (a) 1\/6 (b) 0 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 10*l**2 - 69*l + 132. Calculate w(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 897724 = 255*b - 214331. What is the highest common factor of 98 and b?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in millimeters?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -6*p. Let u(q) = 7*q - 1. Let d = -2 - 1. Let o(x) = d*n(x) - 2*u(x). Does 13 divide o(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -420620 bigger than -420622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 6*f + 12. Suppose f*g - 5 = 7. Suppose -3*j = 0, -5*j - 250 = -g*w - w. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -22025?\nAnswer: 22035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 4 - 5)*(3 + q - 3 + 1)*(4*q - q**2 - 4*q).\nAnswer: -2*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 803 - -1*(-1 + -2). Let c = -279 + v. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 0*h + 4 + 0*h**3 + h**4 + 1\/2*h**2. Find the second derivative of t(u) wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-30) + (-1286)\/(-5)?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 2:39 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or 46.7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 21*d - 20. Let p be q(-1). Let i(k) = k + 36. Give i(p).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 5*j = 0, -221*m + 220*m - 5*j = 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o - 69*o + 10716 = -6176. Calculate the remainder when 411 is divided by o.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2007.56 to the nearest 10.\nAnswer: -2010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.04 (b) 0 (c) 0.1 (d) -4\/3 (e) -0.02 (f) 3 (g) 992\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8761761 to two dps.\nAnswer: -1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2586*b - 414. What are the prime factors of q(-3)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2564 and 6469613?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28485366 and 46774.\nAnswer: 28485366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -d + 3. Let u be (-60)\/(-16) + 1\/4. Suppose -u*b + 5*b = d. Solve q - 4*m = -b, -2*m = -4*q - 7*m + 15 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2486, -9945, -22380, -39791?\nAnswer: -62178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8200290 and -2005310?\nAnswer: 10205600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 71 times -2896\nAnswer: -205616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*d - 38*d + 256 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -36.94. Let g = 0.26 + r. Which is the nearest to -1? (a) 2 (b) g (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 + -23. Let u(n) be the first derivative of -8*n + 8*n + 3*n**2 + z. Let v(w) = -2*w. Give v(u(g)).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/9*6\/180*-4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 84314 by 12.\nAnswer: 42157\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 2*h**4 - 2*h**5 + (3*h**2 - 3*h + 3*h)*(4*h**3 - 3*h**3 - 3*h**3) - 25*h**5 - 34*h**5 + 36*h**5 - h**5 - h**5 + h**5.\nAnswer: -32*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -590 + 644. Let f = 10 + -4. What is the greatest common factor of q and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -478*y**2 - 1056*y - 582. Let q(i) = -2388*i**2 - 5280*i - 2912. Let x(v) = -16*l(v) + 3*q(v). Factor x(a).\nAnswer: 4*(11*a + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*12\/27 - 3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i**3 + 79*i**2 + 497*i - 18219. Determine g(40).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**3\/5 + 19704*b**2\/5 - 32353968*b\/5 + 17708405152\/5 = 0.\nAnswer: 1642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -24*d + 2168. Calculate the remainder when 301 is divided by b(80).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5451, -10900, -16351, -21804, -27259, -32716?\nAnswer: -38175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5659 + 0*u + 0*u + 2*u.\nAnswer: 2*u - 5659","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 4*z = 3*z + 12, 3*i = -4*z - 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*w = 590, 0*w - 3*w + 503 = -4*g. Let n = g + 164. What is the units digit of n*(-5 - (-5 + -4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 22 = -5*p. Let i = 24 + -8. Calculate the lowest common multiple of p and i.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3916 + 14?\nAnswer: 392a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*l - 53*l + 43*l.\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1140551 (base 7) to base 10\nAnswer: -144341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a**3 + a**2 - a - 2. Suppose 448 = -4*n + 456. Let s(d) = -d**3 - d - 1. Give n*s(h) - r(h).\nAnswer: 2*h**3 - h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -106e (base 15) in base 7?\nAnswer: -13100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3388 + 5?\nAnswer: -3383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t**(-1\/4)\/t)\/t))**16*t**(-8)\/t*t**6\/t*t*t)\/((t*(t*t**0\/t)\/t)**(-47)\/(t**(1\/2)\/t)**(-26)) assuming t is positive.\nAnswer: t**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*m + 229*m - 295*m + 258*m + 128*m.\nAnswer: 314*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -14 (c) 3 (d) -1\/8 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -4*n, n + 8*a = 6*a + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, e: 1, g: 3, l: 2}. What is prob of sequence lle?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 + 2 + 3 - 9)*(-2221*i + 2221*i - 330*i**2) to k*i + r*i**2 + q and give r.\nAnswer: 7590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 23. Let d = 11 + h. Let z(g) = -g**2 - 9*g - 5. Let o be z(d). Solve 6 = o*u - u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 + 64. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + 3 + 17 + -14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-13)\/((-2)\/(-7) + (-72)\/224). Calculate the greatest common divisor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11740 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3)*(-4778*u**2 + 4778*u**2 - 62*u**4)*((4 + 0 - 2)*(0*u + u + 0*u) + 0*u - 5*u + 10*u).\nAnswer: 868*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*t - n, 0 = t - 5*t + 4*n + 28. Suppose t*z - 3*q = 33, 3*q - 13 = -2*z + 2. Calculate the lowest common multiple of (4\/(-12)*22)\/(2\/(-6)) and z.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+80693\nAnswer: 80693.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1268846 (base 9) to base 13.\nAnswer: 1b46c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1941668240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/3 + 4*n**2 + 6*n - 36.\nAnswer: -2*(n - 6)*(n - 3)*(n + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a**3*n - 300*a**2*j*n - 20086*a**2*j - a*j*n + 6*a*j + 6707333*a*n wrt a?\nAnswer: 18*a*n - 600*j*n - 40172*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -56, -89, -124, -161, -200, -241, -284?\n\"Answer: -s**2 - 30*s - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3094 - -34065\/11. Let l = 468646\/3 - 3304873\/21. Let a = l + 1168. Calculate the common denominator of o and a.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/4 + 25*t**3 + 2373*t**2\/4 - 3825*t\/2 - 15606.\nAnswer: (t - 6)*(t + 4)*(t + 51)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 128405 and 915.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7031 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.59944 + 1.6. Round l to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 + -54)*(2 - (-81)\/(-42)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/8 and 47\/26907041.\nAnswer: 215256328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 276*l + 9605. Calculate n(-35).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9, 15, 21, 33, 57, 99?\n\"Answer: q**3 - 6*q**2 + 17*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 3, x: 5}. What is prob of sequence xw?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 88 = -132. What is the tens digit of (15 - i)*1\/((-1)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137 at least -37846\/279?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1313 (base 7) to base 9\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + 34*s**2 - s + 22. Let p be w(17). Solve 0*z = -5*a + z - 13, z = -a - p for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/4 - 848859*h\/2 + 52630219\/4.\nAnswer: -(h - 31)*(h + 1697749)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - z - 13604 = -55288, 4*t = -4*z + 55584. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 AM and 1:38 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 15) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10947638 divided by -6838.\nAnswer: -1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 0*d = d - 15, -11*r - 8*d + 52 + 46 = -3*r - 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 140 (b) -3 (c) 16 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -36*r - 1186. Let p be b(-33). Suppose 5*g = -3*l - 0*g + 26, 14 = -3*l + 5*g. Solve -l*f - 4 = 2*a, -2*a = 5*f + 2 + p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-10) - 16\/(-20). Let x be w*(-1 - -8 - 2). Suppose q = x*o - 92, -26 - 25 = -3*o + 2*q. Does 12 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -118*v**3 + 17*v**3 + 2*v - 91*v**3 + 448 - 46*v**3 - 180*v**3 wrt v.\nAnswer: -1254*v**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(0 + 1 + 2)*(0*m - 2*m + m).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 4*q - q)*(150 + 284 - 137) as s + r*q and give r.\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.133 + -17.2232. Is -14 bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 112013230?\nAnswer: 112013311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -669, -677, -685?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -13, -5, -0.7, 4, -2?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 51, -2\/23, 0.5, 2.7?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 PM and 10:16 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(5\/3)\/(m*m**0) assuming m is positive.\nAnswer: m**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.5 and 1023716381.89.\nAnswer: 1023716390.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-1 + sqrt(637) + sqrt(637)) - sqrt(637) - 6*(sqrt(637) + 0)) + 2 + 5 + -2 + 4 + sqrt(1053) + 2)**2.\nAnswer: -4216*sqrt(13) + 200177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-0.1573193.\nAnswer: -0.3146386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z - 5. Let d be v(4). Suppose -4 = -d*l + 25*l. Let w(i) = i**3 - 6*i**2 + 6*i. Let b be w(5). Solve 30 = b*n - 2*g - g, l*n + 3*g + 9 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 294 - 292.532. Let r = -1.66 + o. Sort 0, -4, r.\nAnswer: -4, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(66\/(-3960)*-52350).\nAnswer: 2\/349","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**2 + 27*k**2 + 10*k**2 + 24*k**2.\nAnswer: 32*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -30 (b) -4.56 (c) -2\/7 (d) 5\/3 (e) 0.4 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 103 = -3*f. Suppose 2*u + 4 = -f. Let b be (-3)\/u - (-487999)\/8. Round b to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8a3 - -5?\nAnswer: -89b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 13*b**2 - 67*b + 52. What is m(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 19*v**2 - 13*v - 40. Let g be i(19). Let b = g - -589. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*c + 168*c - 63 = 0. Solve -c*b + 35 = -2*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2881 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 548343749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ykn when three letters picked without replacement from {y: 3, m: 1, k: 2, n: 3, r: 2, g: 1}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 9, 5, 1.0565 in ascending order.\nAnswer: -0.2, 1, 1.0565, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000091839 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:22 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -13. Let v = 529337\/68 + -7784. Let s = v + -2\/17. Which is the closest to s? (a) h (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**5 - 6824*u**4 - 5659882*u**3 + 278016284*u**2 + 2582877024*u = 0. Calculate u.\nAnswer: -1729, -8, 0, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/3*d**2 - 4\/3 + 10\/3*d + 2\/3*d**3.\nAnswer: 2*(d - 2)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 4, q: 7, w: 6}. What is prob of sequence wu?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12748223?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 - 14*u**2 + 6 + 21*u**2 to the form x + g*u + v*u**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/2*(-264)\/(-99). Let c be -3 + n + 1 + 1. Solve 0 = c*y - 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**2 + 201*w - 505*w + 574*w + 532 = 0.\nAnswer: -133, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -158923 and 124?\nAnswer: 159047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, 2, 72662 in decreasing order.\nAnswer: 72662, 2, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1202 - 351540?\nAnswer: -353142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 927649828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 9*y + 11. Let t be u(-10). Suppose 0 = w - 62 - t. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72 + -72.29. Let m = -0.97 + 1.07. Is z greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 + 19*t**2 - 45*t - 7. Let x be o(-21). What is the highest common divisor of 616 and x?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 446388061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 - -128\nAnswer: 128.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296*u - 5*a = -295*u + 79, 38 + 48 = 5*u - 5*a + 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -466*c**3 + 6*c**2 - 210*c + 16. Let k(h) = -93*h**3 + h**2 - 38*h + 3. Let t(i) = 11*k(i) - 2*p(i). Determine t(-1).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*s - 2*y, -2*y + 5*y = 4*s + 11. Suppose b + b = -6. Is s + -16*(-51 + b) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1952)\/(-16))\/((-4)\/(-10)). Let j = l - 2437\/8. Let d be (-1)\/1*(0 + -1). Which is smaller: j or d?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 1 - (-69 + 75)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 70 = -5*s, 5*x - 19 + 5 = s. Solve -4*a + 3 = s for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -13*p**2 + 15*p - 5. Let g(f) = -7*f**2 + 8*f - 3. Suppose -5 = 5*t + 5*h, -19*t = -22*t + 4*h - 38. What is t*q(u) + 11*g(u)?\nAnswer: u**2 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1299 + -1304. Which is the nearest to -1? (a) 1 (b) 53 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0. Let g = 0.5 - r. Let j = 0.3000017 - g. What is j rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*x**3 - 14*h*x**2 - 9*h + x**3 + 2*x + 46 wrt x?\nAnswer: -6*h*x - 28*h + 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s - 2. Let a(o) = 1400*o - 400. Give -2*a(j) + 400*i(j).\nAnswer: -2000*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1050 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 429 - 432. Let o(u) = 18*u - 4. Determine o(z).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -6*b - 12. Let p = b - -5. What is the first derivative of 5*n + p - 2*n**2 + 4*n**2 - 5*n wrt n?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -153856062*w**3 + 110443*w**2 - 193*w wrt w?\nAnswer: -923136372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2009 divide 227033072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 1)*(t**2 - t**2 + 2*t**2) + 1346723*t**2 + 4 + 5*t + 4*t - 1346725*t**2 to the form q*t**2 + z*t + m and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -83. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 56*h + 310. Calculate d(-4).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/6))**2\/(l\/(((l\/((l**(-4)\/l*l)\/l))\/l)\/l)*l*l**(5\/2)) assuming l is positive.\nAnswer: l**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(2\/15)*r**(1\/5))**(-33))**6 assuming r is positive.\nAnswer: r**(-1056\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 11*h**2 - 1255*h + 15201. Determine t(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 14922?\nAnswer: 74610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 239773.2 milligrams to grams.\nAnswer: 239.7732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.587*4865\nAnswer: 2855.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/12 in 1\/16, -7\/6, 17, -5\/3?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 264 = -4*r. Let i = 88 + -71. What is the remainder when r is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/9*h**3 + 46\/9*h**2 + 425\/9*h - 2500\/9.\nAnswer: (h - 4)*(h + 25)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9.3 (b) -0.2 (c) -10\/13 (d) -0.3 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77 - 75. What is the derivative of -a**4 + n*a + 16 - a**4 + 19 + 14 wrt a?\nAnswer: -8*a**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**3 - 10672*j**2 - 32068*j + 42736.\nAnswer: 4*(j - 2671)*(j - 1)*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15732743 is divided by 3933173.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -94.4? (a) -0.5 (b) 5 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1088 divided by -60.\nAnswer: 272\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -r**7\/6 - 7*r**4\/6 - 13*r - 6. Let w(x) be the first derivative of p(x). What is the third derivative of w(s) wrt s?\nAnswer: -420*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k + 34*k = 18. Solve 0 = -y - 4*w + 11, 4*w - 5 = -5*y + k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3, 10, 35, 72, 121, 182, 255?\n\"Answer: 6*k**2 - 5*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 + 10*d + 4. Let o be s(-9). Let m = 25 + o. Let p = -10086 + 10124. Calculate the remainder when p is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -8*u**2 - 71*u - 4. Let c(i) = 3*i**2 + 20*i + 1. Let p(r) = -2*c(r) - y(r). Give p(-15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q + 11. Let p(y) = 5 - 15*y - 4 + 23*y. Let x be p(-1). Let i be u(x). Put i, -5, 4 in increasing order.\nAnswer: -5, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n = -58*n + 295. Let v = 60 + n. Which is bigger: 2\/127 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*g - 17*g**3 + 208*g - 20*g - 592*g + 207*g.\nAnswer: -17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*c + 60 = -193*c. What is the highest common divisor of c and 1290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5.3 - -0.3. Let v = -140 - -144. Let w = 0.2 + -0.2. What is the nearest to w in v, 1, a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 - i + 67 - 137 - 4*i in the form q*i + t and give t.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.28, 7, -0.051, -22?\nAnswer: -0.28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2 + 12 - f**2 + 4 + 2*f**2 + 13*f. What is the least common multiple of 7 and z(-12)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.86 + -6.36. Let c = 0.11 - 0.02. Let w = c + 0.21. What is the closest to -1\/3 in w, 8, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/166 and 93\/16.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - l + 9 = 58, -97 = -4*b + 3*l. What is the smallest common multiple of b and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216829?\nAnswer: 216829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 7*a**3 - a + 0*a.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -4.82 (b) 4 (c) -28 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 3:09 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 32 + -22 + (6 - -6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 0*a + 5*g = -208, 3*a + 4*g - 190 = 0. Let y be 16*10*(48\/(-10))\/(-6). Calculate the common denominator of y\/a - 10\/15 and -51\/7.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -5, 53, 145, 277, 455, 685, 973?\nAnswer: 1325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 74632.\nAnswer: 74632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/505 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 120, 240, 360?\n\"Answer: 120*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -9799100 and 0.4?\nAnswer: -3919640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 82626821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919 a factor of 1005802749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 - 6*r. Let o(i) be the third derivative of i**5\/30 - 23*i**2. What is o(p(w))?\nAnswer: 8*w**4 + 48*w**3 + 72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-222)\/296)\/((-2)\/(-4))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 459128 and 928.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330806?\nAnswer: 2, 7, 23629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1032 and 13287?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -23\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 56 = 2*o, -3*j - 4*o = -163 + 3. Let p be 5*13\/(-2)*(-528)\/(168\/14). Find the second derivative of p + 16*v - 1430 - j*v**4 - 3*v wrt v.\nAnswer: -576*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24479 - 849899.\nAnswer: -874378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 2*x**4 + 2 - 3*x**2 + 2*x**2 + 7*x**3 - 4 to c*x**4 + g*x**2 + p + t*x + u*x**3 and give u.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6530 - 946.803.\nAnswer: -7476.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009103 to 5 dps.\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -49\/9*k**4 + 12*k**2 + 0 + 1\/630*k**7 + 0*k**3 + k - 1\/12*k**6 + 7\/5*k**5. Factor l(s).\nAnswer: s*(s - 14)**2*(s - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 9 - 2 = 0 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3104 and 3.\nAnswer: 9312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4417, 8833, 13249, 17665, 22081?\n\"Answer: 4416*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-2*18\/630*14\/4)\/1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, g: 3}. Give prob of picking 2 g and 1 q.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 9*n = -14*n - 20, 4*n = j - 16. Put 8, -3, 5, j in decreasing order.\nAnswer: 8, 5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228996?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(12) + sqrt(48) + sqrt(12) + sqrt(12))\/sqrt(6))*-5 + 4.\nAnswer: -30*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i - 9 = 13*i. Suppose f - 4*f = i*p - 129, -4*p + 133 = 3*f. Calculate the greatest common divisor of 156 and f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 238453 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = -2*x + 5*n, 0 = -35656*x + 35653*x + 4*n - 123 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = 8*m, 25*f + 6 = 24*f - 3*m for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (16\/(-60))\/((-1108)\/831)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b - 10. Let l(v) = -v**3 - 2*v**2 - 2*v - 2. Let r be l(b). Suppose 3*g = -13 + 22. Solve -5*t - 5*s + r = -g, -5*s = -t - 17 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.2 - 1.87. Let p = n - -0.6651. Round p to three dps.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 37 + 1?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -105.9 + 106. Let i = 0.023 + -0.043. What is the third smallest value in a, -5\/4, 2, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**3 + 83*q**2 - 62*q + 208. Determine j(27).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7774065161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10 - -49?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (-40 - -53)) + 52\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -101. Suppose -2*p + 3*p = 14. Let r = p - t. Is 30 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2302 divided by 2582.\nAnswer: 1151\/1291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 18*o**2. Let b be (-1 - -1) + 13\/((-39)\/168). Let a = b - -58. Let j(d) = -5*d**a + d**2 - d**2 + 3*d**2. Give n(j(v)).\nAnswer: 72*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-96) - (-5 + 98\/21). Factor v + r*v**2 + 0.\nAnswer: v*(v + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 766054058?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/2, 18, 0.04 in decreasing order.\nAnswer: 18, 3, 1\/2, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -435.3 - -440.3. What is the closest to -2 in -1\/8, -2\/7, 4, i?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 52, 261, 636, 1177?\n\"Answer: 83*l**2 - 40*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -2. Suppose h = -2*t + 2*i + 34, -i + 4*i - 69 = -3*t. Is 12 a factor of ((-24)\/5)\/(t\/(-650))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 33504707.7 - 17.\nAnswer: 33504690.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 18 = 2*o. Does 5 divide (0 - -1 - o) + 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1668730019 - -0.09?\nAnswer: -1668730018.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 275 and 600.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 865*k - 862*k + 9, -4*x = 5*k - 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2546752 and 30368?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9722751 to the nearest integer?\nAnswer: 3118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes after 12:48 AM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6)\/(1\/15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38438567?\nAnswer: 38438567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - (-7)\/(-5))\/(7\/(-3395)). Let p = -276 - j. Is p not equal to -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -291\/13, -1, -7.8?\nAnswer: -291\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 11:40 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 2)*(6*z**5 - 3*z**5 - 5*z**5) - 2*z + 2*z + z**5 - 412*z**5 - 1552 + 1552.\nAnswer: -407*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518\/7*29\/464*-8.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -321001872, -321001862, -321001848, -321001830, -321001808, -321001782?\n\"Answer: 2*z**2 + 4*z - 321001878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*b = -8*b + 2, -5*b - 14 = -o. Let x = 2 - 1. Let y(g) = -27*g**2 + 191*g - 11. Let s be y(7). Solve x - o = s*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - l - 6, -31*l = -4*x - 36*l + 15. Which is the second smallest value? (a) -2\/5 (b) x (c) 2.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(135\/(-10)) + 0. What is the nearest to -23 in h, -3, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*-2 + -13)*-1. Suppose 3*k - 5*k + m = -l, -3*k + 20 = -2*l. Let b = -344 - -351. What is the lowest common multiple of k and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 19*j - 16. Let o be f(-20). Solve o*w = 8, -2*y + 0*y + w + 8 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**4 + h**4 - 2*h**4)*(-4*h + 10*h - 5*h + 236).\nAnswer: 2*h**5 + 472*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -487.152632 rounded to the nearest integer?\nAnswer: -487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*n = 158, 5*m = 102*n - 106*n + 190. Solve -m = -k - 47 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 40311827?\nAnswer: -40311828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s*u**2*x + 174*s*u**2 + 342*s*u*x - 4*s*x - 49*u**2*x - u*x - 2*u + x - 1 wrt u.\nAnswer: 4*s*x + 348*s - 98*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -202 + 196. Let f(s) = -19*s - 15. Is 33 a factor of f(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - 7. Let f be o(8). Let q be f\/(-7) + 4\/14. Suppose 0 = -2*l - 4*a + 38, 4*l = a + 28 + 3. Solve -3*u + 3*r + l = 0, 2*u - 2*r = u + q for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4 + 47664*a**3 + 276682458*a**2 + 693996181200*a + 635996088091875 = 0.\nAnswer: -5075, -2869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u - 80*u**4 + 136*u**4 + 141*u**4 + 231*u**4 - 5*u**2 + 18*u**2 wrt u?\nAnswer: 10272*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1344 + 7*f - 1329 - 10*f as c + i*f and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -2. Let y = u - -72. What are the prime factors of y?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2682066\/55 - 48763. Let u = 18\/11 - a. Which is bigger: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -n**4\/4 + n**2\/2 - 6*n - 1. Let x(u) be the first derivative of -u**3\/3 - 5*u**2\/2 - 4*u + 3. Let q be x(-4). What is o(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389938140 divided by 25764.\nAnswer: 15135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + 2 - (9 + (4 - -10))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 92.331\nAnswer: 9.2331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42017 and 797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**2 - 5*x**2 - 3*x**3 + x**3 + 4*x**3 - 2*x**3 - 3*x**3 + (-x + x + x)*(-x**2 + x**2 - x**2) + 2*x**3 + x**3 - 4*x**3.\nAnswer: -5*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (102*s + 91*s - 39*s)*(3 - 4 + 2) to c + y*s and give y.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k - 17*k - 32*k = -8*k + 4087 for k.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zc when two letters picked without replacement from chz?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 2*sqrt(117) + sqrt(13) + sqrt(468))**2.\nAnswer: 104*sqrt(13) + 2213","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -1 in descending order.\nAnswer: 4, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 - 2.85. Let f = n - -0.049999. What is f rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 6*q**2 - 3*q - 7. Let k = -966 - -1000. Calculate the remainder when k is divided by j(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.9 - 8.1. Which is the second smallest value? (a) r (b) 0.1 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from qzizzqmmszzm?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*o + 82*o = -66*o - 220. Suppose 0 = -2*j + 24 + 8. Suppose 0 = -2*g - 2*g + j. Sort o, -3, 2, g in ascending order.\nAnswer: -3, o, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y + 2. Let h be (2 - 1)*-1 + 4. Let k(j) = 3*j - 4*j - 3 + h*j. Give 5*k(l) + 8*u(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 16 - 4. Suppose -r = -8*u + 5*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -84*(1032\/(-144))\/43?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 5*s - 35, 7*s - 3*s + y - 11 = 0. Suppose -2 = -2*m + m. Suppose -25 = -2*t + 5*h, m*t - s = -0*h - 2*h. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1573) + (4*sqrt(1573) + -3 - sqrt(1573))).\nAnswer: -15 + 220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -284780196, -569560390, -854340584, -1139120778?\nAnswer: -1423900972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146 - 158 = -3*x + 5*t, 0 = 3*x - 0*t + 2*t - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2297*m - 222241 + 222241 to w + r*m and give r.\nAnswer: -2297","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54185, 54197, 54223, 54269, 54341, 54445, 54587?\nAnswer: 54773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 23, -10 in descending order.\nAnswer: 23, 3, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9))**(-5\/11) assuming p is positive.\nAnswer: p**(45\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/16 - 29*z**3\/2 + 3465*z**2\/8 + 8702*z. Solve m(o) = 0 for o.\nAnswer: 11, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -52 - -52. Suppose 20 = -r*d + 4*d. Find the first derivative of 8*n**2 + 3 + 19 - d + 0 wrt n.\nAnswer: 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -83 - 283b?\nAnswer: -2902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**5 + 113331*h**4 + 3209788602*h**3 - 67453508120*h**2 + 57823575648*h + 128486759040 = 0.\nAnswer: -56676, -1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c - 3*l - 15 = 0, 5*c - 30 = 2*l - 65 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 4\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 18 = -4*l, 9*b + 4*l - 12 = 5*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of b**6\/120 - b**5\/15 + b**4\/8 - b**3\/6 + 3*b**2\/2 + b. Let a(g) be the first derivative of p(g). Is a(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 9\/1793, 3, 0.14, 0.\nAnswer: -0.4, 0, 9\/1793, 0.14, 3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Solve -229*g + 12588 - 3249 = 54*g for g.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-54))\/(((-2)\/(-8))\/(-1)). Let u = 7 - 6.6. What is the nearest to 1 in p, 1\/5, u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220298 and 2?\nAnswer: 220298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from izzizcrrzriztix.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6.9 + 16.9. Is w greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 6900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**2)**(-1\/9))**2 assuming g is positive.\nAnswer: g**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2198*t**2 + 17*t - 16. List the prime factors of o(1).\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/8 + 7\/4. What is the common denominator of l\/(-12) + (-722)\/60 and 16\/11?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-22 + 7504\/70)\/((-4)\/(-310))?\nAnswer: 3, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5050, 5051, 5050, 5047?\nAnswer: 5042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2409*n - 2417*n = -1048. What is the highest common factor of n and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -6.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*k = 11, 16*w - 4 = 14*w + 2*k for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + o + o**5 - o**4 + (-3 + 3 - 1)*(-o**5 + 2*o**5 + 0*o**5) + 3*o**5 - 3*o**5 - o**5.\nAnswer: -o**5 - o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - z + 2 = 0. Let d be z + -1 - (-1 - -2). What is the second biggest value in 3\/4, d, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-4 + -3*-1*sqrt(720) + 1 + -3*2*sqrt(720))**2.\nAnswer: 216*sqrt(5) + 6492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 = 3*p, -5*p + 2*p = -5*v + 8. Put -2, p, 1 in ascending order.\nAnswer: -2, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42539?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15478 - 15491.0197. Let h = j - -0.0197. Sort 1\/4, h, -5.\nAnswer: h, -5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10348083 is divided by 52263?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*h + 30*o - 29*o, -5*o = 22*h + 42*h - 8 + 52 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12060 * 301\nAnswer: -3630060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(((z\/(z*z*z\/(z*z**(-2\/43))*z))\/z)\/z))\/(z*z**2) assuming z is positive.\nAnswer: z**(88\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 11 + 59 = 0. What is the least common multiple of o and (-1)\/2 - 74\/(-4)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*i = -7*i - 3014. Suppose -232 - i = -11*m. Does 23 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6 + 13 + -1*1. Solve -b = -3*z + b - g, -2*b = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 8:05 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1238862287 to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x + 12 = 0, -4*i + 4 = -274*x + 278*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 578298712 and -5.\nAnswer: 578298707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*x - 1145 = 0, 0 = 2*j + 3*j + 5*x - 1405. Suppose -3*a + 6 = 0, -5*g - 4*a = -9*g + 8. Suppose -216 = -g*y + j. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 796422 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-170)\/(-1836))\/((-10)\/(-48))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 18\/11, 31, -10, 0.3?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26434 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.4, 6, 0.17?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16\/852)\/2*3. Let j = l + 57\/497. What is the closest to 0 in 4, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:13 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 2*t - 15. Give a(3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 6 - 2 + s**2 - 6*s as j + y*s + n*s**2 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1986 - -1270. Let x = -442 - o. Suppose 4*p - 2*z = 442 + x, -5*z + 730 = 4*p. What is p rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488992576849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2356*q - 9 - 228*q**2 - 2356*q)*(9*q**2 - 19*q**2 - 9*q**2).\nAnswer: 4332*q**4 + 152*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 10 = -i, 5*i + 431*h - 422*h + 38 = 0 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85\/(-20))\/(-17) + (-27)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t + t + 5. Let h be 6\/(-3) + t + 201. Suppose 1256*p - 1358*p = -2244. What is the greatest common factor of h and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 248\/2821*(-210)\/40.\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19529)\/2317*(-3 + (-14)\/(-21)).\nAnswer: 59\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94024 is divided by 1063?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 7 = i, 0 = -4*i + 6*z - z + 49. Solve -8*h = i + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l - 3 + 3)*(0*l + 0*l - 2*l) + l - 4*l - 67 - l**2 + 65.\nAnswer: -3*l**2 - 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-54)\/(-2))\/((-3)\/(-2)). Let n be (-1)\/5 + (-4)\/(-20). Suppose o + 0*o - 4*k - a = n, 5*k = -10. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8579996\/26 + 12\/78. Round g to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000206476 rounded to 7 decimal places?\nAnswer: 0.0000206","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.2 (b) -15 (c) -1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 27*30\/(-945)*(-4)\/(-4)*-7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(8\/3))\/t**(-6))\/((t*t**(-20)*t)\/(t\/(t\/t**(-17))*t)) assuming t is positive.\nAnswer: t**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 19*i - 737. Give v(46).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 80*a**3 - 320*a**2.\nAnswer: -5*a**2*(a - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -2*g**3 - 319*g**2 - 205*g - 7333. Determine k(-159).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s - 2 - s**2 + 0*s**2 + s**2 - 71*s**4 - s**2 to f*s + a + w*s**3 + n*s**4 + c*s**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*u**3\/8 + 317*u**2\/8 + 559*u\/8 + 267\/8.\nAnswer: (u + 1)**2*(25*u + 267)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6073462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412 - -412. Suppose 8*b - 3588 - 2108 = h. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 - 179*g**2 + 174*g**2 + 2*g**3 + 2*g. Let q be k(-6). Which is bigger: 23 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) -4 (c) -0.8 (d) -3 (e) -0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b - 2. Let x(c) = -9*c - 7. Let g(a) = 4*a + 3. Let t(f) = -7*g(f) - 3*x(f). Give 5*t(z) + y(z).\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, r: 3, w: 2, k: 4, t: 3}. What is prob of sequence wkkk?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.3. Let k = -4.2 - g. Which is the biggest value? (a) k (b) -4\/3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5 and -35.7?\nAnswer: 30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28268, 226200, 763446, 1809662, 3534504?\nAnswer: 6107628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3624.311mg in grams?\nAnswer: 3.624311","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -137000, -137002, -137004?\nAnswer: -137006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -181426836 to the nearest ten thousand.\nAnswer: -181430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8*k = 6*k - 33. Let v = 10 + -7. Suppose 0 = -4*j + 11*q - 7*q + 5592, v*q = k. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlaasajaa. Give prob of picking 1 j and 1 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1935, 3900, 5865, 7830, 9795, 11760?\nAnswer: 13725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*h = -142 - 296. Put h, 3, 0.06, -2\/7 in descending order.\nAnswer: 3, 0.06, -2\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.402 + 0.598. Let r = 0.5 + 0. What is the closest to -0.1 in f, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of i**4\/3 - 5*i**3\/3 + 13*i. Let n be t(-15). Suppose 4*g = 2*d - 2094, -d + 3*g = -0*g - n. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.5 (b) 5\/6 (c) -129\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*t**3 + 78*t**3 - t**2 - 25*t**3.\nAnswer: 221*t**3 - t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4236954?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15 + 9*z - z - 9*z. Let y be f(12). Suppose -2*n - 13 = -y*n. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 - -0.02. Let u(j) = -21*j**2 + 1. Let v be u(-1). Let z be (2\/(-20))\/((-8)\/v). What is the nearest to -1\/2 in x, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 - 7*m**2 + 0*m**3 - 1 - m**3. Let k be l(-13). Let a(v) = -46*v**3 + v**2 + v. What are the prime factors of a(k)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -36 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -8.\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 61782 and 105?\nAnswer: 308910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + r + 5)*(-2 + 10 - 1) in the form p + f*r and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 3. Let t(l) = -29*l + 12. Let a(m) = 150*m - 62. Let f(d) = -6*a(d) - 31*t(d). Suppose 1 - 3 = -2*b. What is b*h(u) + 4*f(u)?\nAnswer: -2*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -636 - -652. Let z = 160 - y. Calculate the smallest common multiple of z and 10.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*(1 + sqrt(405)) + (sqrt(405) - ((sqrt(405) - (2 + sqrt(405))) + 5)) + -6*(0 + sqrt(405))*2 + 5)**2.\nAnswer: -2700*sqrt(5) + 202545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*z**4 - 52*z**4 - 3*z**3 + 0*z**3 + 7*z**3 + 4*z**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -212.17 - -181.17. Sort 2, 3, o, -0.1, -2.\nAnswer: o, -2, -0.1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-146)\/(-30) - 4) + 1\/(-5). Let k(n) be the third derivative of 0*n + 1\/4*n**4 + y*n**3 + 1\/30*n**5 + 0 - n**2. Determine o, given that k(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 20 = -0*s, -2*b - 2*s = -8 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 79, -5, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 4. Let p(a) = -2 - 3 - 1 - 2*a + s. What is p(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(78) + 6*sqrt(78)*1 + sqrt(78) + sqrt(78) - -1*sqrt(78)*-1)\/((sqrt(168) + 3*sqrt(168) + sqrt(168))\/sqrt(7))*4.\nAnswer: 32*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -28.2257, 2, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 10*m. Let b be 6\/15 + 36\/10. Let c(a) = 2*a - 5. Let h(j) = 2*j - 4. Let y(z) = b*c(z) - 5*h(z). What is y(q(d))?\nAnswer: -20*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 193786?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**3 + 3*d - 3*d)*(-5 - 11 - 2).\nAnswer: -36*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sum -25 and 178.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -37\/40, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**5\/20 + 5*w**4\/12 + 5*w**3\/6 - 2*w**2 + 3*w. List the prime factors of o(-5).\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-12)*-2)\/((-8)\/(-96))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15.5597 and -8.6?\nAnswer: 24.1597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 355543403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30828 = 18*a + 3*a. Is 2\/5 bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -0 - 6. Suppose -f*w - 2*k = 0, 4*w + 4*k + 1 = -k. Is 6*w\/2 - -188 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 332 - 42 + (2 + 1 - 2)*(-1 + 0 + 2) - 1 + 5 - 5)*(2 + 2*t + 3 - 3).\nAnswer: -592*t - 592","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 41, 65, 89, 113, 137?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 14) in base 7?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -242.1 - -232. Let y = q + 0.1. Let z = 13 + y. What is the closest to 0.3 in 0, z, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 99*w**2 + 388*w + 567. Calculate t(45).\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - -7. Let u = c + 7. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72, 61, 46, 27, 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.08 (b) -27.7 (c) 5\/3 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, v: 13}. Give prob of sequence kkv.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 2*c**5 - 3054*c**4 - 364780*c**3 + 1875720*c**2 - 3027952*c + 1520064 = 0.\nAnswer: -116, 1, 2, 1638","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**8\/11200 + b**7\/1050 - 4*b**4\/3 - 15*b**2. Let w(f) be the second derivative of r(f). Factor w(k).\nAnswer: -3*k**2*(k - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2235802 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -86 - 142. Let p = -60 - g. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 492?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrgnx. Give prob of picking 1 n and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/3 and 2\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**4 + 192*d**3 - 891*d**2 + 330*d + 1416 = 0. Calculate d.\nAnswer: -1, 2, 4, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 2*y - 20, 1 - 5 = -2*h for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x**2 - 11*x - 7. Determine h(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 8857?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -9*p - 11. Let s(m) = 14*m + 17. Let t(l) = -9*l - 24. Let d be t(-8). Suppose -d = -5*j - j. Give j*c(y) + 5*s(y).\nAnswer: -2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11330, -11331, -11332?\n\"Answer: -z - 11329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 less than -77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1 + 2 = 0. Suppose -59 = -l*s - 0*s + 2*q, -4*q = 4*s - 112. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 191*h - 5314 + 26577 - 192*h.\nAnswer: -h + 21263","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292505.\nAnswer: 5, 19, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + j = -156, -3*p - j + 5*j - 89 = 0. What is the common denominator of -97\/6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -3*t**4 + t**3\/3 + 2*t**2 - 5*t - 1901. Calculate c(2).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-3) - (-2)\/3. Let y be (h - (-12)\/(-5))\/(-1). Let p = 25 - 29. What is the closest to 0 in y, -3, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -7. Let m = w - 5. What is the units digit of ((-40)\/(-6))\/(m\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/15)\/s*s*s**5)\/(s*s**(-1\/2)*s\/(s\/s**6)*s)*((s*s\/(s*s*s**(-1\/3)\/s))**(-8\/3))**(-4) assuming s is positive.\nAnswer: s**(1049\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/337275731 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, a: 3, m: 4, q: 3, g: 8}. What is prob of picking 1 l and 1 g?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -4*a + 42. Suppose -7*m + 8 = -3*m. Suppose m*j + j = 210. Calculate the greatest common factor of a and j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (-3 + (2 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4.4. Let s = -214 - -213. What is the smallest value in s, z, 10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27672265*u**4 - 23*u**2 + 3*u + 151480.\nAnswer: 664134360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.1 + -0.7. Let w = l - -0.6. Which is the closest to 0.1? (a) 0.3 (b) 2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7.14, -56\/451, -1\/2?\nAnswer: 7.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1017 + 1012. Put 16, w, -1, 5 in ascending order.\nAnswer: w, -1, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33292, 66596, 99900?\nAnswer: 133204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qinuzzwzznwqnzz. What is prob of picking 1 z and 1 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 8:36 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -869.936 to the nearest integer.\nAnswer: -870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 462295510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4582426647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoe when three letters picked without replacement from eoe?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + u**2 + u. Let m(z) = -21*z**3 - 4*z**2 - 4*z. Give -4*k(f) - m(f).\nAnswer: 17*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d - 9. Let f(h) = h - 6. Let q(p) = -7*f(p) + 5*i(p). Let x be ((-3)\/(-4))\/(2\/(-8)). Let z be q(x). Solve 0 = -y - 2*y - v, -z*v = -y - 10 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 520\/72 + 2\/(-9). Let h(k) = k**2 - k - 1. Let c(l) = l**2 + 6*l - 9. Let n(v) = -c(v) + 2*h(v). Let y be n(u). Solve 5*w - 2*w + 9 = y for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6229, 3, -152, 6 in ascending order.\nAnswer: -6229, -152, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 13*c + 17 + 5)*(5*c - 5*c + 2*c**2 + (c + 2*c - 4*c)*(-4*c + 3*c - 3*c))*(3 - 2 - 3)*(-4*c + 3*c + 2*c).\nAnswer: 156*c**4 + 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l - 42. Let q be u(22). Let f = -6 - -3. Let c(y) = -y**3 - 2*y**2 + 4*y + 2. Let d be c(f). Put q, -2, d in descending order.\nAnswer: q, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.05 + 0.05. Let u = 3 + s. Sort -2, u, 5 in descending order.\nAnswer: 5, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 67150d?\nAnswer: -671510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 3. Let m be t(6). Suppose 0 + 3 = 3*s. Let n(p) = -2*p + 5. Let k be n(4). Put m, k, s in decreasing order.\nAnswer: m, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86208 and 1120704?\nAnswer: 1120704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 334.527 + -334. Let d = k - 1.027. What is the fourth smallest value in 3, 0, 1, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 1. Let n = 5 - 4. Let q(t) = -t**3 + 7*t**2 - 7*t + 1. Let l be q(6). Let s = l + 2. Let f(o) = o**2 + 3*o - 3. Calculate n*f(h) + s*c(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - n + 33*n**2 + 92*n**2.\nAnswer: 125*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q*((q\/(q*q**(-35)))\/q*q)\/q)\/q*q)*q**25)**16 assuming q is positive.\nAnswer: q**(-160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, c: 2}. Give prob of sequence cw.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/4 - 1131*z**2\/2 + 4575879*z\/4 - 437987088.\nAnswer: -(z - 693)**2*(z + 3648)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*c, 0 = -2*h + c + 4*c + 26. Suppose -3*s = x - 145, -2*x - 490 = -5*x + 2*s. Let u = 162 - x. What is the remainder when h is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 824, -92, -0.1, 19, -4\/5 in decreasing order.\nAnswer: 824, 19, 1\/4, -0.1, -4\/5, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64.9883 - -46694.5.\nAnswer: 46629.5117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(l\/l**(2\/9)))\/(l**(1\/2)\/l))**38\/((l**0*l*l*(l*l**(2\/9))\/l*l*l)\/(l*l\/((l\/(l\/l**(-1)*l))\/l)*l)**(-10)) assuming l is positive.\nAnswer: l**(353\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (811*y**2 - 811*y**2 + 2586*y**3)*(2*y - 10 + 10) to the form d*y**3 + o*y**4 + v*y**2 + l + t*y and give o.\nAnswer: 5172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 690929 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4910 + 5059 - (-1056)\/(-7).\nAnswer: -13\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/78 - 782\/(-13). Let k be 12\/u + 24\/5. Solve t - 6 = -4*d, -7*d - 2 = -3*d + k*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -8. Put -5, 3, y, -1 in decreasing order.\nAnswer: 3, -1, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(40\/1364056) + ((-312)\/15)\/(-13)?\nAnswer: 67, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 6:53 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5888 divided by 736.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8616490 is divided by 70?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 91, -3, 371 in increasing order.\nAnswer: -4, -3, -2, 91, 371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 2*f + 4*l, -6*f + 5729*l + 29 = 5734*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + 3*h**2 + 4*h**2)*(-h**2 - h**3 - 11*h**3 - 12*h**3).\nAnswer: -96*h**5 - 4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -15519, -31163, -46797, -62415, -78011, -93579, -109113?\n\"Answer: u**3 - u**2 - 15648*u + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 544387693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 320*d**2\/7 + 6064764*d\/7 + 2350048\/7 = 0.\nAnswer: -18952, -31\/80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 202021?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*g - 157 = -218*g + 5*l + 22, 3*g + 49 = 3*l + 142 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)*n*n*n**(-3\/5))\/(n**(-2\/9))**38*(n\/n**(-1\/3))**(-3\/8)*n**(-3)*n\/n**(-1\/4) assuming n is positive.\nAnswer: n**(1367\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (4\/17)\/((-17490)\/(-13515))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5106 and -0.1.\nAnswer: 510.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4672847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of 3940*y**3\/3 - 20*y**2 + 13*y. Let r be p(-17). What is r rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4275 and 99123?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 259 (b) 5 (c) 1.2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 949\/146*(-4)\/(-52)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**5 - 8*x**4 - 104*x**3 - 224*x**2 - 188*x - 56 = 0. What is x?\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -5*i + 42, 2*h + 4*i = 3*h - 34. Let y = 57 + -57. Suppose y*c + h = c. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - a = 4*a + 20, -4*a = -18*o - 29 + 80 + 31 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.26 + -12.74. Let w = h - -8. Let g = -0.1 + 0.1. Which is the third biggest value? (a) g (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -321 + 321.1. Sort f, 3, -64.\nAnswer: -64, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287 = -83*c - 683 - 275 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4\/5 (b) -1\/369 (c) 229\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1 - 0. Let h = -1 - v. Solve 4*t + 5*o + 1 + 6 = h, 2*o = -2*t - 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in -3, 5, -0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 41, 56?\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 + 2.01. Let w = 1.79999832 - c. What is w rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyxyooowyy. What is prob of picking 1 x, 1 y, and 1 o?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 10, 172, -14, 2 in decreasing order.\nAnswer: 172, 10, 2, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*d - 21 = -2*h, 0 = -94*h + 205*h - 97*h + 2*d - 54 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, b: 3, c: 4}. What is prob of picking 2 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (501*(8 + -2) - 1) + 0. Let b = d + -1638. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/90772 and 69\/41260.\nAnswer: 453860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3410 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 minutes after 12:20 PM?\nAnswer: 9:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 20. Let d = 70 + h. Let u = d + -52.951. What is u rounded to 2 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**2 - c**2 + 11*c**2 + 14*c**2.\nAnswer: 56*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*u + 75 = 0, u = -4*j - u - 70. Let k = j + 32. What is the remainder when 54 is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*l**3 - 182878*l**2 + 1379944*l?\nAnswer: -66*l - 365756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 185.7 + -185.9. Which is the closest to d? (a) -1\/4 (b) 1\/3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*j**3 - 30*j**3 - 28*j**3 - 29*j**3 + 120*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130177 is divided by 5207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x + x)*(4 - 5 + 2)*(-3 + 4 + 2)*(6*x**3 - 2*x**3 - 2*x**3).\nAnswer: 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.004, 0.2, -3.3778 in ascending order.\nAnswer: -3.3778, 0.004, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.339 - -0.039. What is the smallest value in 0.01, f, -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*v**3 + 132*v**2 - 1373*v?\nAnswer: -12*v + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -5*k**2 - 8*k - 3. Let t(v) = 11*v**2 + 16*v + 5. Let u(w) = -7*l(w) - 3*t(w). Let b be u(-5). Solve 2*n + 2*n = -b for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (2 - -21) + 6 + -7 + 0 and (36\/(-5))\/(6\/(-20)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5153420 + 12?\nAnswer: 5153432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/2*(-6 + 4). Let w = 7 + h. What is the greatest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/5 - (-76165)\/(-24360). Let b = 1\/609 + n. What is the common denominator of b and 1066\/144 + 2\/9?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*f**3 + 227*f**3 - 436*f**3.\nAnswer: -6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 543288852 is divided by 8581?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*((-5)\/10 - -1)*-1. Solve 3*i = 3*z - 6, -5*i + 2*z - 4*z - 10 = b for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 9:27 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1 + -0.2. Let v = 13777\/7 + -1967. Which is the third smallest value? (a) -5 (b) n (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2213 - -4554. List the prime factors of c.\nAnswer: 2341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*k - 22 = k, -18*h + 249 - 208 = -k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-196)\/12)\/(750\/(-1125)).\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**6\/20 - z**5\/10 + z**4\/4 + 5*z**3\/3 + 8*z**2. Let p(j) = 2*j**3 - 2*j**2 + 2*j + 3. Calculate -10*p(i) + 3*s(i).\nAnswer: -2*i**3 + 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.5 and -181\/10 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(156) + sqrt(39) - -3*sqrt(351))\/(5*(sqrt(27) - sqrt(2187))*-2).\nAnswer: sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(-16 - 2 - 1)*(3*l - 5*l + l) + 41*l + 14*l - 3*l.\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, p: 3, b: 2}. Give prob of picking 2 p.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1435985 and -0.4.\nAnswer: 574394","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16251 is divided by 130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.9947 - 11. Let l = -0.0453 - s. Sort 1, l, -5, 4.\nAnswer: -5, l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**0)**9)**(-11\/5)\/((s*s**(-1\/4))**(-1\/10)\/(s*s\/(s\/((s**(2\/15)\/s)\/s*s))*s**(-8\/3))) assuming s is positive.\nAnswer: s**(-2671\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 8:56 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/((-2)\/(-4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85637 to the power of 1\/3, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.63395 minutes to seconds.\nAnswer: 1058.037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90358 + -53669. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 590116.\nAnswer: 2, 31, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0 + 12 = 0. Let q be 4\/(8\/2539) + y. Let i = -1244 + q. Find the common denominator of i and 11\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s + 15*s - 4*s**2 as w + x*s + r*s**2 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33892.61 micrograms to milligrams.\nAnswer: 33.89261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 333 in 1\/4, 5, 628\/335, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108481 + -71904. What is the thousands digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123763 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 132767035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 313835 is divided by 3374?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -236.000103 + 236. Round n to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 12 = -2*t, -4*r + 9 = -t + 30. Let b(i) = -2*i**2 + 5*i + 13. Let d(m) = -m**2 + 3*m + 6. Let x(y) = r*b(y) + 13*d(y). Give x(4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 - 0.05. Let w = 0.2 - k. Let p be 8 - 28\/(-2)*(-1680)\/2880. Sort -0.1, w, 0.2, p.\nAnswer: p, -0.1, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*g - 5*g + 11*g)*(12 - 12 + g) as c*g**2 + q*g + a and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13 + 19 + 23)*(-6 + 3*n + 6) as u + g*n and give g.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, g: 1, q: 5, t: 3, p: 7}. Give prob of sequence ngq.\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-45))\/(20\/(-30))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10747651 - -5?\nAnswer: 10747656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-4)*o**4*o*o*o*o**(-9)*o*o*o*o*o**5 assuming o is positive.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 6, a: 7, v: 1, e: 1}. Give prob of sequence ve.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 572 divide 8466992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-3)\/b*b)\/b)**(-37))**(10\/7) assuming b is positive.\nAnswer: b**(1480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1 + sqrt(2)))**2 - (sqrt(2) - sqrt(200)*-1)**2.\nAnswer: -215 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.45429*111.\nAnswer: -161.42619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1837170, -3674125, -5511082, -7348041, -9185002, -11021965?\nAnswer: -12858930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/((-40)\/(-18)))\/3. Let t be 5\/(-70)*(185 - 171). Which is the nearest to t? (a) -0.5 (b) -27 (c) -5 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -9*r + 40. Let a be c(5). Let s(p) = -p - 2. Let m be s(4). Let h(f) = 2*f**3 - 6*f. Let v(x) = -2*x**3 + 5*x. Determine a*h(b) + m*v(b).\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z. Let s be d(1). Suppose 11*f = 9*f + 8. Sort f, s, -4 in descending order.\nAnswer: f, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 - -1168.363.\nAnswer: 1168.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -6. What is the tens digit of (-2 + -9)\/(-1)*p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 242 - 557. Let n = -222 - b. Calculate the greatest common divisor of 31 and n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 14130, 23191, 32252?\n\"Answer: 9061*d + 5069","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cz when two letters picked without replacement from czzz.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -10*j**3 - 4*j**2 + 5. Let o(h) = -5*h**3 - 2*h**2 + 3. Let v(d) = 3*a(d) - 5*o(d). Find the third derivative of v(w) wrt w.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, -3\/131, -0.5?\nAnswer: -3\/131","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 4*t**2 + 2 - 2*t**2)*(10 + 20 + 100).\nAnswer: 260*t**2 + 260","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14820 is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42576 is divided by 42461.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 787, 6529, 22197, 52753, 103159?\n\"Answer: 827*r**3 + r**2 - 50*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/6*(-45)\/12. Suppose 0*d + d = 3. Suppose -d*q - l = -8*q. Solve 4*f + q*h = f - 5, -2*f = -4*h - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 - 38*a**2 - 13*a - 53. Is y(44) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16\/1475 - 3\/59. What is the closest to -1 in -1, r, 0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 4*h**3 + 4*h + 1. Let g(f) = f**3 + f. Let l be (-2)\/((-4)\/(-8) + -1). Suppose -2*s + 4*j = -5*s - 11, s + l*j = -17. Give s*g(v) - u(v).\nAnswer: -v**3 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 12:13 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*i - 91*i + 153*i = -290 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.960363761 to 3 decimal places.\nAnswer: 0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5\/4 (b) 2 (c) 31 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cin. What is prob of picking 1 c and 1 i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426 = -105*r + 636 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.011 - 50697407576.9.\nAnswer: -50697407576.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + d - 53 = 0, 4*d = 2*f + 6*d - 56. Suppose k = 26 + f. What are the prime factors of k?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7474 (base 9) to base 4.\nAnswer: -1111312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -37984*d + 76047. Let r = -209 - -521. Calculate the remainder when r is divided by v(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, i: 2}. Give prob of picking 1 n and 1 i.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 6. Put y, -11, -4, -10 in descending order.\nAnswer: y, -4, -10, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 191 - 186. Solve -2 = u - 4*t - 1, -b*t = -2*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23815, -47626, -71435, -95242, -119047, -142850, -166651?\n\"Answer: c**2 - 23814*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 20485, 3, -5, 0, 6.\nAnswer: -5, -4, 0, 3, 6, 20485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218 + 209. Let p be (-9)\/(t + -1 + 7). Solve 2*h = -p*d - 16, -2*h + 5 = -2*d + 11 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13 - 8. Let b be (-3)\/15 + 28\/(-10). Let v = b + 4. Sort -4, g, v.\nAnswer: -4, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 + 1. Let q be t(-1). Suppose -q = -5*w - 4*v + 9, 5*w - 2*v - 1 = 0. What is the remainder when 3 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 - 8.915. Let p = b - 0.2. What is p rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dkxw when four letters picked without replacement from xnddnxwxdxnxnwkd.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x - 1. Let f(m) = -7*m - 1. Let d(o) = -6*o + 19*o - 100 + 102. Let s = 12 + -18. Let k(i) = s*d(i) - 11*f(i). Give -2*k(b) + w(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (-21 + (8 - -4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 14. Suppose -p + 3*b - 4*b + 5 = m, 2*b = -5*p + 13. Let o be (-13)\/20 + (-4)\/(-10). Which is greater: o or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19abcb + 1193?\nAnswer: 19c091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1070 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 3*t - 33954, 194*t + 33950 = 197*t - 5*j. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4273*j**3*w**3 + 209*j**3*w + 334*j**2 - 70*j*w**3 - w wrt j?\nAnswer: 25638*w**3 + 1254*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1066, 1112, 1160, 1210, 1262, 1316, 1372?\nAnswer: 1430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3664824 minus -0.5?\nAnswer: 3664824.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 11\/12, -0.1, 0.4, 6, -3 in descending order.\nAnswer: 12, 6, 11\/12, 0.4, -0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/6)\/((-2)\/6). Suppose 0 = 2*y - 5*m - 14, 2*y - m - 4 - 2 = 0. What is the first derivative of -w + 4*k**2 - 4*k**y + 2 - 2*k**3 wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 4*k**2 + 0*k**2)*(3*k - 4*k - k) + (88*k + 2*k**2 - 83*k - 7*k**3 - 3*k**2)*(2 + 0 + 0).\nAnswer: -8*k**3 - 2*k**2 + 10*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 1) + 13 + -21.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 28*o + 7. Let s be z(-19). Let l(c) = -s*c**2 + c - c + 181*c**2. Let m(b) = -10*b**2 - b - 1. What is -7*l(r) - 2*m(r)?\nAnswer: -r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggginbgbanpaaanbnn. Give prob of picking 1 b, 1 n, and 1 p.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -676 less than 12322955768?\nAnswer: 12322956444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21\/(-12)*(-3 + -1). Suppose 2*s - p = -3*j, -s - 2*s = 3. Solve -j*q + 8 = 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*k - 4*c, 260*c = 5*k + 268*c + 23 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2046*j + 1227. Is t(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -475051, -475069, -475099, -475147, -475219, -475321, -475459?\n\"Answer: -t**3 - 11*t - 475039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -56. Let q = r + 15.00000056. Round q to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39015.67 hours to minutes.\nAnswer: 2340940.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w - 4*w + 3 - 3. Let z(x) = -x. Calculate z(b(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*f + (5 - 3 - 4)*(2*f - f - 3*f) - f + 0*f - f + 5*f + 0*f - 44*f as d*f + h and give d.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -0.08?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 20 + 5. Calculate the remainder when (-472)\/(-5) + (-1)\/((-30)\/18) is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 8 = -p, -5*p + 3*k - 34 = -11 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z - 494 - 490 + 984 + 62*z.\nAnswer: 40*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of -u**4\/78 + 304*u**3\/39 - 23104*u**2\/13 + 671*u. Factor t(y).\nAnswer: -2*(y - 152)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4386 + -4?\nAnswer: 4382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 479.6, 2\/7, 2\/9, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-60 - 13 - 175)*(m - 3*m - 2*m)*(5 - 15 + 6).\nAnswer: -3968*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5 = -55. Let k be ((-7)\/21)\/(2\/m). Solve 5*x - 28 = -k*p, -2*p = -5*x + 2*x + 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(600)\/sqrt(2)) - (sqrt(637) + -2*sqrt(637)*-2).\nAnswer: -174*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 107 + 6?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 1 + 25 = 0. Does 3 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = s + l - 4, 5*l = -2*s + 12. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 5258.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -204994, -5 in ascending order.\nAnswer: -204994, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(1\/10)*l**0 assuming l is positive.\nAnswer: l**(11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 15. What is v(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 549203 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l + 3*l + 57718 - 4*l + 2*l**2 - 57711. Suppose 0 = 4*d - j + 17, -4*j + 14 = -3*d - 2*j. Let q(n) = -n**2 - n - 3. What is d*v(w) - 9*q(w)?\nAnswer: w**2 - 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000011101000111 (base 2) in base 8?\nAnswer: -103507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 404 - 419. Let t = 0.29 + 15.11. Let x = k + t. Which is the closest to 0? (a) 2\/19 (b) x (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7593 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 31476 = -4*s - 2*b + b, 0 = 3*b. What are the prime factors of s?\nAnswer: 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**3 - 1. Let z(q) = 19*q**2 - q. Let m be z(-1). Let w(y) = 18*y - 3 - m*y + 3. Determine g(w(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gkkkzgafakaffdg. What is prob of sequence azdf?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11424 or -5656?\nAnswer: -11424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 64 - 28. Find l, given that -2*l + 0*l**3 + 14*l - n*l**2 + 18*l**3 + 9*l**3 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.503052 to three decimal places.\nAnswer: -0.503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6 - 2 = 0. Suppose 4*o + 5 = g. Sort -3, -5, o in increasing order.\nAnswer: -5, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*(-4*l + 3*l + 2*l) + 326*l - 416705 + 941*l + 416709.\nAnswer: 1269*l + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 144\/((-5 + 4)*-1). Let b = x + -60. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4456?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92565 by 3.\nAnswer: 30855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hezhzhewwwnwee. What is prob of sequence nw?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b*b**(-6))**(-1)*((b**0)**24)**(-2\/29) assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 27\/(-108)*4*-1*33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1127)\/(-5) - 10\/25. Let b(u) = 7*u**2 + u - 1. Let d be b(-2). Calculate the greatest common divisor of t and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + 16*h + 10. Give k(16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c - c**2 - 2*c + 1 + c. Let t(z) = -2*z**2 - 5*z - 2. Let x(i) = j(i) - t(i). What is x(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q = 9*q + 4*f - 14, 3*q + 18 = 4*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70.1704 or 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 3*w**2 + (2*w**2 + 2*w**2 + 4*w**2)*(1 + 1 + 0) + w - w - 2*w**2 to r*w + y + n*w**2 and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 6. Let n = 6 + y. Suppose -3*k - 40 = 5*i + 2*k, 0 = 4*i - 5*k - 4. Sort 2, n, i in decreasing order.\nAnswer: 2, n, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from qqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2743 or 2820?\nAnswer: 2820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14045 != 14041?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*k = -35*k - 30. Calculate the remainder when 23 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/7, 5.9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2920 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 14 + 13 + (-17 - -25).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x + 141. Let w be c(-17). Which is smaller: w or 89?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v + 537 = 4*b, 8858*v = -8*b + 8859*v + 49 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from tttttttotty?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 900315 by 3645.\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.03 + 20.97. Let y = -18 + s. Sort -3\/7, y, -7.\nAnswer: -7, -3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 3*d**3 - 8*d**2 + d + 2. Let t(w) = 4*w**3 - 9*w**2 + 2*w + 2. Let u(l) = -5*s(l) + 4*t(l). Determine u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5614701 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -55685*s + 5122945. What is t(92)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -2*a**3\/3 + a**2 - 2*a - 230. Let c be ((-28)\/16)\/1*4. Let w = 8 + c. Let t(l) = l**2 + l - 1. Give w*f(v) - 2*t(v).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-29)\/(0 - (-1 - -2)). Suppose -3*p = 12, -6*m = -3*m + 5*p + a. Is 11 a factor of (-71)\/(-3) - 1\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a gram in milligrams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -11*o**2\/2 - 5*o - 7. Let s(w) = 27*w + 12. Let p(r) = -43*r - 289. Let q be p(-7). What is q*v(m) + 5*s(m)?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11230)\/(-90) - (-4)\/18. Let n be (-160)\/76 - (-8)\/76. List the prime factors of (16\/(-20))\/(n\/g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/36)\/(6*6\/108).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -4*m + 15. Suppose 0 = 2*j - 4*v - 64, 5*j - 3*v - 13 = 119. Let y be (j\/m)\/(2\/36). What is the greatest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*a**2*f**3*q + 8635*a**2*f**2*q**3 - a**2*f**2*q + 2*a*f**3*q**3 - 7*a*f*q**2 - f**3*q**2 wrt q.\nAnswer: 51810*a**2*f**2 + 12*a*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18138 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -20*v + 70. Let o(y) = 11*y - 36. Let q(w) = -5*o(w) - 3*s(w). Let r be q(6). Solve 11*a + 0 = -r for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b - 11. Let d(m) = -7*m + 345. Calculate -d(o) - 5*r(o).\nAnswer: -3*o - 290","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14535955?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -707*f**3*x**3 - 11*f**3*x + 212*f*x**3 - x**3 + 24 wrt f?\nAnswer: -4242*f*x**3 - 66*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**5\/60 - 7*x**4\/24 - 2*x**3\/3 + 2*x**2. Suppose 3*z + 15 = -0*z. What are the prime factors of v(z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 63*i**3 + 35*i**2 + 35*i + 35. Let u(l) be the first derivative of -7*l**4\/4 - 4*l**3\/3 - 2*l**2 - 4*l - 1300. Calculate -4*c(a) - 35*u(a).\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -0.3 (b) -4 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 8\/3*t**3 - 9\/2*t**2 + 6*t + 28. List the prime factors of i(5).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -28.\nAnswer: 11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4 - 13*39\/676. Solve -3*f = -h*a + 5*a - 19, a = -f + 3 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14387, -13392, -12189, -10772, -9135, -7272, -5177, -2844?\n\"Answer: q**3 + 98*q**2 + 694*q - 15180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04199561 - -0.042. What is o rounded to seven dps?\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-24)\/20)\/((-2)\/5). Factor 6 - 2*k - 3*k**2 - k**3 - 2*k**2 - k + l.\nAnswer: -(k - 1)*(k + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -43\/2, -2, 0.2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 8. Let g be u(7). Let r be (18\/(-66))\/(g\/4*-1). Let y be (66\/40)\/11*(-5)\/6. Sort -3\/8, r, y in increasing order.\nAnswer: -3\/8, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 4. Let r(w) be the third derivative of -w**6\/120 + w**5\/60 - w**4\/24 + w**3\/2 + 3*w**2. Let v be r(0). Solve -20 = -k*i - v*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1413404 (base 5) to base 6.\nAnswer: -343153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1578720 divided by -2392.\nAnswer: -660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16ba + -337?\nAnswer: 1383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191*f + 96*f + 95*f + 3*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**3 + 595*r**2 + 10480*r + 43200 = 0?\nAnswer: -8, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 794, 5 in decreasing order.\nAnswer: 794, 5, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of f*i**4 + 217917*f - 4*i**4 - 32506*i wrt i.\nAnswer: 4*f*i**3 - 16*i**3 - 32506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/16 and -51\/137027962.\nAnswer: 1096223696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 AM and 6:50 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -5*b**3 + 236*b**2 - 43*b - 188. Let t be l(47). Solve t = -13*d - 27*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2476 + -2475.99996222. Round i to 6 decimal places.\nAnswer: 0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11926410?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 12960 = -2*p, 25*f = 20*f - p + 32388. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.04 - -0.36. Let b be (-6)\/(-3)*5\/(-25). Let n = -4 + 8. What is the closest to b in n, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g - 7*g)*(0*g + 3*g - g)*(0 - 3*g + 2*g - 2).\nAnswer: 4*g**3 + 8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 3) + (-40 - -23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from eqyykeqqq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -28*p + 118. Let d be y(4). Suppose -31*n - d*n = -2109. Solve 0 = -n*c + 58*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -122322?\nAnswer: -122313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 332*z - 10970. Let x(y) = 886*y - 32909. Give 8*g(m) - 3*x(m).\nAnswer: -2*m + 10967","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-780)\/(-8)*12\/15. Let h = -21 + p. What is the remainder when h is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**3\/10 + 27*l**2 - 580*l = 0?\nAnswer: -290, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81 = 3*v - 104 + 75 - 127 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-2*sqrt(468) + sqrt(468))**2 + 0)*-3.\nAnswer: 8424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -380, -9, 2, -1, -5, -2, 8 in descending order.\nAnswer: 8, 2, -1, -2, -5, -9, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-2\/17))\/t**0)\/((t\/t**(-31))\/t**(-6)) assuming t is positive.\nAnswer: t**(-627\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 91672.99 millilitres in litres?\nAnswer: 91.67299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -2, 0.62, 0 in ascending order.\nAnswer: -2, -0.5, 0, 0.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 107300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -50 - -2fe?\nAnswer: 2ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2568 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: Suppose s = 4*s - 42. Suppose b - n = 3*b - 5, -5*b + s = n. Find the second derivative of 5*d + 2*d - 2*d + d**b wrt d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 + 0*k**3 - 7*k**3)*(1 - 2*k - 1) + (-3*k + 2*k + 2*k)*(209*k - 21*k**3 - 209*k).\nAnswer: -11*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3\/2 (b) 7.85 (c) -3\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - 4*c**2 + 14*c**2 + (1 - 1 - c)*(8*c - 8*c + 8*c) + 0*c**2 - c**2 - 3*c**2.\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3217 + 14*j**2 + 3217.\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/41? (a) 541\/4 (b) -3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 413 + -407. Solve 5*k - 16 = -q for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*k - 11. Suppose j = k*m - 86, -m - 18 = -2*m + 3*j. What is the highest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11431 (b) -0.5 (c) 7 (d) 4 (e) 11 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*z = -858*z - 9030 for z.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = c - 40 - 414, 1864 = 4*c - 4*u. What are the prime factors of c?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 3:31 PM?\nAnswer: 1:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 100151579, 100151581, 100151583, 100151585, 100151587?\nAnswer: 100151589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15120 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 c when three letters picked without replacement from {c: 4, a: 3, k: 7}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**3 - 7977*l**2 - 18407025*l - 9436854375 = 0.\nAnswer: -975, 9927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 - 8. Let o = -8 + j. Let s be 1\/(((-65)\/(-50))\/13). Solve 8*g - 3*g - s = o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 29293.9361.\nAnswer: -8788.18083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 4\/5 (b) 11168 (c) -81 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*y**3 + 2*y**2 + 8*y**3 - 4*y**2 + (2*y + 3*y - 3*y)*(2*y - 2*y**2 - 2*y).\nAnswer: -3*y**3 - 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m**2 - 2*m**2 - m**2 + 3*m**2 + m - m - 2*m + 2*m**2 + 2*m + (5 - 2 + 1)*(7 - 5 + 7)*(-2*m**2 + m**2 - m**2).\nAnswer: -68*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 5*t**2 - t - 1. Let h(b) = 3*b - 15*b**2 + 3 - 13*b**2 + 14*b**2. Let g = -154 - -143. Calculate g*x(y) - 4*h(y).\nAnswer: y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 7359.\nAnswer: -4\/7359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 14*v - 525. Let l be x(31). Let y(o) = -o - 3. Let p be y(-3). Let g = -2 - -5. Solve 4*r - l*t = -p*t + 30, g*r = -3*t for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**7*r*r**(-6\/13)*(r**(-3\/4))**10 assuming r is positive.\nAnswer: r**(1\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 10:26 PM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -28 + 14. Let k be s*(-15)\/(-175) + (-1 - 0). What is the closest to 0 in -2, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10762 by -3.\nAnswer: 10762\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -159*o**2*s**4 + o**2*s + 5*s**5 + 366*s wrt s.\nAnswer: -1908*o**2*s**2 + 100*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let i(y) be the second derivative of -2 + 2 - 22*y - 5*y**3 - 69*y - 16*y**3. Calculate i(c(j)).\nAnswer: -126*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 612 + -518. Let f be -20*3\/(-6) + 0. Suppose -4*o - 2*m = -q, f = -o + 2*m + 46. What is the highest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -4 - 112. Suppose -4*n - 5 - 11 = 0, -2*n = -3*d + p. Calculate the remainder when -1 + 1 - (0 + -12) is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {p: 4, v: 3, j: 3, m: 1, t: 8}.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 3*h**2 + 4*h - 8. Let j be p(2). Find x such that 0 - 6\/7*x**2 - 2\/7*x - 2\/7*x**j - 6\/7*x**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0945987858 rounded to four decimal places?\nAnswer: 0.0946","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-8)\/16 - (-1)\/(-2). Suppose -3 - 12 = 12*w - 17*w. Suppose 20 = -4*s - 5*o, 2*s - 6*s + 3*o + 12 = 0. Sort 1, j, s, w in descending order.\nAnswer: w, 1, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 208 and 858?\nAnswer: 6864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/5630120 and 15\/28.\nAnswer: 39410840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231957 and 63?\nAnswer: 1623699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4\/7 + 180*q**3\/7 - 432*q**2 + 1344*q.\nAnswer: -3*q*(q - 28)**2*(q - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 237 = 8*u - 6603. What is the greatest common factor of u and 90?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) 4 (d) 2\/3 (e) 27\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*y - 5. Let f = y - -1. Let l(z) = z**3 - 13*z**2 + 8*z + 4. Let x be l(f). What is x rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 26*b - 20. What is j(-13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/6)\/((-6)\/(-6)). What is the smallest value in d, -5, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10807261?\nAnswer: -10807261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 0.7, -472 in descending order.\nAnswer: 10, 0.7, -472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 334, 588, 842, 1096?\n\"Answer: 254*g + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v + 1. Let t(r) = 36*r**2 + 45*r - 30. Let q(l) = -15*f(l) - t(l). Let z(c) = 5*c**2 + 2*c - 2. What is -4*q(u) - 30*z(u)?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1664 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.12 + 4.12. Let m = 2 - 2. Let w = m + c. Sort w, -2\/9, 0.3 in descending order.\nAnswer: w, 0.3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 i when two letters picked without replacement from {i: 1, v: 4, n: 2, d: 5, r: 5, e: 3}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1657140 (base 8) in base 2?\nAnswer: -1110101111001100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/2*c**2 + 5\/2 + 7*c.\nAnswer: -(c - 5)*(3*c + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 208 - 298. Let l = -91 - i. Sort 0, -4\/5, l, -1\/5 in ascending order.\nAnswer: l, -4\/5, -1\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27.1 * 0.5.\nAnswer: -13.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -138436, -138499, -138610, -138775, -139000, -139291, -139654?\n\"Answer: -a**3 - 18*a**2 - 2*a - 138415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((2 + sqrt(1584))*-5 - (-4 + (sqrt(1584) - sqrt(1584)*3)) - -1*-3*(5 + sqrt(1584) + 1))**2.\nAnswer: 3456*sqrt(11) + 57600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 5*t + 35 = 0, 4*f - 5*t - 10 = 20. Suppose -4*i + f*w + 41 = 0, -5*i - 3*w + w + 43 = 0. Solve 0*h - 3*h - i = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 689903080.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -35*l - 15. Let i(t) = 9*t + 4. Let o be -3 - (-4 - 4)\/(6\/(-9)). Give o*i(h) - 4*n(h).\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppbbbbbbbb. What is prob of picking 1 p and 1 b?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2. Let k(j) = -8*j + 5. Let i(c) = 45*c - 21. Let m(w) = -5*i(w) - 21*k(w). Calculate m(y(u)).\nAnswer: -114*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 37*z + 40. Let m be h(-1). Let v(i) = 3*i**2 - 8*i + 6. What is v(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 58*m**2 + 4*m + 2. Let j be q(-3). Let d = j - 351. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l. Let g(d) be the first derivative of -2*d**2 - 96. Determine 4*g(w) + 5*k(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 404 + 52. Suppose -y = -4*l - 76. List the prime factors of l.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-15) - (12006\/(-87))\/690?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -4*r + 2*o, 5*o - 7 = 4*r. Solve -1 - r = -m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -251\/7 - -36. Let k = 1 - 0.9. Let j = -0.0113 - -4.0113. Which is the nearest to k? (a) v (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sqcjscqjqcjjcjsjqjc. Give prob of picking 1 j and 2 c.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7171290*o + n = 7171297*o - 39, -5*n - 5 = 3*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22501 - 22500.6. What is the closest to 0 in -1\/17, b, -1?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8426*b**5 + 2*b - 1156?\nAnswer: 168520*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -310?\nAnswer: -310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5\/2 + (-10)\/(-20). Suppose 6*o - p*o = 63. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -596 (base 10) to base 15.\nAnswer: -29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11936 + 2*l**3 + 35818 - 278*l**4 - 11940 - l**3 - 7*l - 11940 to the form a*l + r*l**3 + z*l**4 + q + p*l**2 and give a.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 1:54 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000111 (base 2) to base 5.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 2)\/8 - (-71)\/8. Suppose -9 = -5*l + 21. Calculate the greatest common factor of d and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5243424 to the power of 1\/2, to the nearest integer?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (10500\/(-90))\/(-35) + -36 + 32?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 + -28. Let d = h + 42. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 198?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2325256 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*k = 41, 4*k + 4 - 20 = t. Let h be 19\/(-6) + t + 1. Which is smaller: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41325146 divided by 13?\nAnswer: 41325146\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pmmmmpmpmmpmmmmmmmm. Give prob of picking 1 m and 3 p.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 - -16. Suppose k*m - 3*m - 111 = 0. Suppose 4*c = 5*p + 41, -2*c + m = -4*p + 9. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0*y**2 + 3*y + 0 - 1\/2*y**3. Let q(g) = g. Determine q(x(i)).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 - 9785*y**2 + 19555*y - 9775 = 0. Calculate y.\nAnswer: 1, 1955","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2\/13, 117\/5, 1, -3.\nAnswer: -3, 2\/13, 0.4, 1, 117\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of 371*d**5\/5 + d**4\/4 - d**3 - 227*d**2 - 3523. Find the third derivative of l(n) wrt n.\nAnswer: 8904*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -7. Suppose w*f = 2 + 8. Calculate the least common multiple of f and (6 + -14 - -5) + 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -3*p - 9. Let z = -3 + 5. Let l be -7 + z + 0 - 1. Let r(j) = -3*j - 8. Let w(y) = l*r(y) + 5*o(y). Differentiate w(b) wrt b.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1da (base 15) to base 8.\nAnswer: -656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/6 - 15664644\/(-216)*2\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a61558 (base 11) in base 10?\nAnswer: -5243477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**3 + 36325*i**2 + 76639365*i + 35911207035.\nAnswer: -5*(i - 9047)*(i + 891)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, o: 1, g: 4, y: 1, z: 4}. Give prob of picking 1 z and 1 m.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 4*k**2)*(-1 - k + 0*k + 3) to f + g*k**3 + u*k**2 + p*k and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**5\/20 + 5*z**4\/12 + 5*z**3\/6 - 11*z**2\/2 - 120*z. Let b be h(3). What is the greatest common divisor of 176 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -1652 (b) -137 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 215895095 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -9768 <= -14971?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189718380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, d: 1, w: 3, z: 5, c: 1, x: 2}. What is prob of sequence xw?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6793 - 6796. Which is the second smallest value? (a) -0.0975 (b) y (c) 1\/5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 117 = 4*n, 2*j = 10*n - 6*n + 78. What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 120*o + 105. Let r(w) = 9*w + 8. Let t(b) = -2*f(b) + 27*r(b). Calculate t(8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.76 + -1.76. Which is bigger: a or -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 7d3?\nAnswer: -7d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, t: 9}. What is prob of sequence ttd?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5075, -10152, -15243, -20354, -25491, -30660?\nAnswer: -35867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7466572 divided by -674?\nAnswer: 11078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 0 (c) 3\/8 (d) 2\/34191\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 + 46. Suppose -28 - t = -4*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + 0*v)*(4 - 4*v - 4)*(2 - v - 2 + v + 0*v + v - v + 1 - 1 - 2*v + 4*v + 0*v + (4 - 2*v - 4)*(-6 + 2 + 2) + v + v - 6*v).\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50749.3*-70\nAnswer: -3552451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 9. Suppose -s - s - 3*k = -4, 0 = 5*s + h*k - 21. Suppose 3*b = -5*q + 24, s*q - 3 = 2*b + 6. Solve 4 = -y - b*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t + 2. Let o be b(6). What is the units digit of (-40)\/6*(-150)\/o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2*d + 4*d + 17*d**3 - 4*d - 62*d**3 to the form o*d**2 + z*d + c*d**3 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91245 is divided by 30087?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the second derivative of 0*c**2 + 0 + 0*c**5 + 2\/3*c**3 + 6*c + 0*c**4 - 1\/6*c**6. Find the second derivative of r(a) wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 5*d = -40, 3*d - 13 = -5*l - 65 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -13*o**3. Suppose -9 = -19*b + 48. Let d(i) = 13*i**3. What is b*a(c) + 2*d(c)?\nAnswer: -13*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9166?\nAnswer: 2, 4583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 506, -2\/11, 1\/7, 0.1, 2, 0, 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-6)*28\/6440*40.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5834376 smaller than 5834368?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111327027 + -0.0685.\nAnswer: 111327026.9315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -24 + 0*k - 91\/12*k**4 - k**2 - 113\/3*k**3. What is the derivative of g(i) wrt i?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 315*w.\nAnswer: w*(w + 315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2478 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 11*o - 3*f, 332*o - 327*o + f + 24 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*j - 5. Suppose 7 = o - 13. What is the remainder when (-192)\/(-144) + -1 + o\/3 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 319114500 by -4198875.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(637) + -5 - 3*sqrt(637)*2) + (-2*sqrt(637)*-2 - (sqrt(637) + -1 + sqrt(637) + -4)))**2*-2.\nAnswer: -11484 - 252*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.96874 rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16157\/6 + -2710. Find the common denominator of (-824)\/18*6*(-8)\/256 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*m - 943 = -85*m + 1715 - 98 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -193. Let s(p) = -483. Let a(c) = 5*r(c) - 2*s(c). Let u(x) = -33*x**2 + x + 4. Calculate -4*a(m) + u(m).\nAnswer: -33*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 317463 and 3813?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0\/g**0)**(-11)\/(((((g\/(g\/g**(3\/8)*g))\/g)\/g)\/g*g)\/g**(4\/3))**(-1\/12) assuming g is positive.\nAnswer: g**(-95\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -204463203?\nAnswer: -204463216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -22*y**2 + 39*y - 36. Let x(k) = 5*k**2 - 10*k + 9. Let n(j) = -2*t(j) - 9*x(j). Determine n(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -10 + 0*g**3 + 3*g**2 + 1\/120*g**5 + 1\/48*g**4 + 0*g. Let b(d) be the second derivative of q(d). Factor b(s).\nAnswer: s*(s + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-4))\/((-1)\/(-3)). Let i be ((-3)\/g)\/(1\/12). Suppose 0 = 3*k + t - 13, -k - 2*t - 14 = -5*k. Is k bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*z + 4*y + 52, 2*z - y - 33 = 0. Suppose -z = 4*j, 0*j - 3*j + 632 = 4*b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -1 + 2*t + 0*t - t. Suppose 351*h = 191*h + 186*h + 52. Let q(w) = w. Give h*x(o) - 2*q(o).\nAnswer: -4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000092 to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5780367 by 2.\nAnswer: 5780367\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/15, 3\/4, 0, -0.2, 5, -2.2 in descending order.\nAnswer: 5, 3\/4, 0, -0.2, -4\/15, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 - -37. Suppose 5*z - 114 = -g - 0*g, -54 = -c*z + 3*g. Let q = 39 + -25. Calculate the smallest common multiple of z and q.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1545 and 77868?\nAnswer: 389340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(539) + (-3 + 2*sqrt(539))**2.\nAnswer: -77*sqrt(11) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522548.3 litres to millilitres.\nAnswer: 522548300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 43*q + 1. Is 11 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 0*q + 9*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - 4)\/((-1)\/3). Suppose -h*w + 6*w = 27. Solve -5*d + 6 = -w for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 + 28520*u + 114144.\nAnswer: -4*(u - 7134)*(u + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 - -18.1. What is the biggest value in -0.2, d, -2\/25?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/1*4\/6. Suppose -a*y - 56 = -8. List the prime factors of (y\/(-10))\/((-4)\/(-20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a microsecond in nanoseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42362907913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10057, 9663, 9277, 8899, 8529, 8167?\nAnswer: 7813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 0.4, -5, -3, 1\/4.\nAnswer: -5, -3, 2\/13, 1\/4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yydyuuydduy. What is prob of picking 1 d, 1 u, and 1 y?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000623691 rounded to 6 dps?\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -0.20777618?\nAnswer: -0.41555236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2659 + 4394. What is the hundreds digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1650\/(-225))\/((-1)\/4) - (-12)\/18.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 + -116. Is -5 + (r - (-5)\/(-1)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 8502 + 906. List the prime factors of a.\nAnswer: 2, 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Let d(u) = 8*u + 69. What is the least common multiple of (m + 3 + -2)*2 and d(-8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 58\/27 and 0.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1 = -4*q + 6, -20 = -5*q + 5*y. Let l(k) = 316*k**2 + 1. Is l(q) 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 3329578035?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 18217513 > 18217514?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 874.7529923 less than -2?\nAnswer: -876.7529923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 19?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, 33, 180, 469, 948, 1665, 2668?\nAnswer: 4005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 3*v + 520, -5*k + 376 = 3*v - 144. What is the remainder when 804 is divided by k?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 5*r - 8 = r, 2*r = -8. Suppose i - 12 = -3*o. Solve 4*p = -3*x + 15, 0 = o*x - 5*p - 0*p + 13 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 14*t**2 - 14*t - 7. What is z(13)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2107*v**4 + 12518*v**2 - 3*v - 911998256?\nAnswer: -8428*v**3 + 25036*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 10*r**2 - 2*r - 16. Let u be g(-10). Is 0 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*n - 139*n - 130*n.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*u*x**4 + 2*u*x**2 - 2*u*x - 593*u wrt x?\nAnswer: 456*u*x**2 + 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**4\/12 + i**3 - 3*i**2\/2 - i. Suppose 1 = 2*f - 9. Let h be z(f). Sort -0.4, h, 0.5 in increasing order.\nAnswer: -0.4, 0.5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**2 - 5*m**2 - 6*m**2 + 10*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 230 = 6*u. Let g be (-7)\/((-14)\/4) - u - 2. Let o = g - -348. Calculate the remainder when o is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 12. Let r = 13 + x. What is the second biggest value in 0.2, -10, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ahaahhaauauh. Give prob of picking 2 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819*l - 107*l**3 - 949*l**3 - 817*l.\nAnswer: -1056*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 2, y: 1, k: 1, z: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3300762 to the power of 1\/3, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.4017218 rounded to 1 decimal place?\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/7 - 2062*m**2\/7 + 538156*m\/7 - 37729320\/7.\nAnswer: (m - 1770)*(m - 146)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/11)*o**5\/o)**12*(o**(4\/3)\/o**4)\/(o**(-9)*(o\/o**(-1\/6))\/o) assuming o is positive.\nAnswer: o**(3647\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51 = 28*v - 163 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35341759 is divided by 2208856?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - (-17759)\/(-215) - -40?\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*q + 4*q - 3*q)*(-q**3 - 23*q**3 + 35 - 35 - 33 - 24).\nAnswer: 120*q**4 + 285*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001065 to seven decimal places.\nAnswer: 0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 228240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + -29)*(1 + (0 - 2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = u - 12, 5*u - 2 = -2*m + 26. Calculate the greatest common factor of u and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (1 + 9)) + 7?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, 5, -13, 76, -0.6?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and -184.6.\nAnswer: 11.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*p + 1, 2*s - 2*p = 2*p. Let f(a) = -4*a**s + 3*a**2 - a**2. Let v(i) be the third derivative of i**5\/60 - 9*i**2. Give f(v(k)).\nAnswer: -2*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20189 - 20166 + 3*q**2 + 40355.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85 + 94918?\nAnswer: 95003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151663 is divided by 70.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 times -0.06?\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 358. Is z a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6*(-48)\/(-8). Let f(b) = -r*b + 0*b + b. Let c(g) be the second derivative of -g**4\/12 + 3*g. What is f(c(u))?\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14351 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -223545707*m**3 - 15628379*m**2 wrt m?\nAnswer: -1341274242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5242 + -4?\nAnswer: -5246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**8\/28 + 38*g**7\/105 - 13*g**6\/30 - 33*g**5\/5 + 18*g**4 + 72*g**3 - 429*g**2. Suppose p(z) = 0. What is z?\nAnswer: -2, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of 0 - 2\/3*a**3 + 2*a**2 + 0*a - 7\/12*a**4. What is the tens digit of t(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 - 12*y**2 + 5*y**2 + 9*y**2)*(6*y - 2*y + 0*y) - y**3 - 2 + 2 to the form r*y**3 + n + o*y + d*y**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -208155\/4 > -52039?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(325)*2)**2 + 0.\nAnswer: 11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence exae when four letters picked without replacement from aeeeeexee.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 1*-2*sqrt(85))\/(sqrt(125) + sqrt(125)*-2 + sqrt(125) + sqrt(125)).\nAnswer: -sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nntn when four letters picked without replacement from qtznnnnnqnqzqffnf?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -5*i**2 - 160*i - 1210. Let u be z(-12). Let b(g) = g**2 + 3*g - 1. Let h be b(-5). Let r be (-6)\/h - (-4)\/(-3). Is u >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 0. Let d(h) = -5*h**2 + 2. Let x(f) = -5*f**2 + 1. Let k(i) = z*x(i) - 4*d(i). Differentiate k(r) wrt r.\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/(-15) - 525\/9. Let d = c + 100. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 = 2*d + 30. Suppose -70 = -7*l + 175. Calculate the remainder when d is divided by l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y = -13*y + 92*y + 376 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 24, 10, -51, -5, 5 in decreasing order.\nAnswer: 24, 10, 5, -5, -16, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-28)\/(-6))\/((-35)\/12 - -3) is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s + 32 = 0. Which is smaller: s or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 8*n - 2. Let t be u(1). Suppose 9 - t = 3*v. Suppose v = a - 1. Solve 0 = 2*d + 2*d + 2*k, a*k = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5 - 3. Solve 0 = 5*p - 10*p + f - 10, 5*f = -p - q for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 y when three letters picked without replacement from ygmgyyg?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 55148 and 782?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -6. Let a = -1115.301 + 1120.3. Let g = a + t. Round g to 4 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m. Let t be q(-4). Suppose 5*n - 9 = -4*a, n - 5*n = -3*a - t. Suppose d = 5*c - 1, -d - 6 - n = 5*c. Which is smaller: -1 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 645.3186 decades?\nAnswer: 6.453186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-180)\/126)\/((-8555)\/203).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 3*m - 1. Let o = -15 - -13. Let c be s(o). Suppose -z + c = 3*i - 2*i, z = 4*i - 6. Solve 0 = -a + 3*x - 16, -2*a = -3*a + x - z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4502184.7 rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -183*x. Let r(i) = -1721952*i. What is a(r(w))?\nAnswer: 315117216*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + b - 2)*(3*b**2 + b**2 - 3*b**2) - b**2 - 3*b**3 + b**2 + 1 + 0*b**3 + 1 - 2*b**3.\nAnswer: -4*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 8 + 7 = -q, -2*y + 4*q - 28 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g + 18357 + 12843 = 0. List the prime factors of g.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 3*p = 0. Solve p = 3*o + 1 - 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 12:02 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bfwwgwozoobz. What is prob of sequence wgoz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/31 (b) 111 (c) 86 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(20\/(-6))*98*750\/1225.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 48 - 48.19. Let o = -0.19022 - m. Round o to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -4. Suppose z*f + 24 = 4*a, -a = -f - 4*f + 11. What is the third biggest value in 0.4, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + 17.613\nAnswer: -19.387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*w = -0*d + 17, -2*d + 16 = 2*w. Solve -4*l - 23 = -d for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8964 or 8962?\nAnswer: 8964","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -359161 divided by 11.\nAnswer: -32651","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 100110111 (base 2) to base 6\nAnswer: 1235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/(3\/(-18)). Is 4 a factor of 16\/6*(i + -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -598 and 0.15729.\nAnswer: -94.05942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6307608 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19212, 38436, 57660, 76884, 96108?\n\"Answer: 19224*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1635 and 460?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 952\/(-8704)*((-2)\/(-42))\/(19\/(-38)).\nAnswer: 1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/4212 and 5\/162.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (152\/(-399))\/(2\/3).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 4*r + 4*r + 3*r + 10*r + 3*r + (-3 + 2 + 0)*(2*r + 2 - 2))*(r - r + r**2).\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2*m - 4 = -0*m, -13 = 5*n - m. Suppose -k - 7 = -0*k. Is (-16)\/k - n\/(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 - -84. Suppose 5*c + 5*w = 85, 3*c - 76 = -2*c - b*w. What is the lowest common multiple of 6 and c?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and 2970.\nAnswer: -1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 7:53 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 1094 = -5*v - 5*j, 0 = v - 3*j - 230. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -57, -59, -61, -63, -65, -67?\n\"Answer: -2*z - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -66 (b) -6.7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*i - 389 = -5*u - 222, -i = i + 5*u + 91 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -24 - (-895 - -890)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73 + 439\/6. Let f(h) = -h. Let k be f(-2). Are k and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 973938268?\nAnswer: 2, 83, 2933549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 761.1 + -761. Which is the second biggest value? (a) 4 (b) -4 (c) z (d) -1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 912870, 912869, 912868, 912867?\nAnswer: 912866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.066 + 8.666. Let j = 8.02 - -0.58. Let f = o + j. What is f rounded to 0 dps?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 10 + 14903*p.\nAnswer: 14903*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 731, 1444, 2135, 2792, 3403, 3956, 4439, 4840?\n\"Answer: -2*h**3 + h**2 + 724*h + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1734, -3469, -5206, -6945, -8686, -10429, -12174?\nAnswer: -13921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57466231.2 rounded to the nearest one hundred thousand?\nAnswer: -57500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovoovotdz. What is prob of picking 1 z and 2 o?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -1\/6, 0.4, -1271902, -5 in decreasing order.\nAnswer: 3\/4, 0.4, -1\/6, -5, -1271902","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 6, 0.3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1 + -3 + -2*sqrt(98) + 2)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 241*a**3\/3 + a**2 - 22*a. Let i(u) = 241*u + 1. Let b(d) = -7*i(d) + 4*x(d). Does 22 divide b(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (551 + -561)*(1 + 0 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:41 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1273 + 443. Let k = -34299\/20 + r. Calculate the common denominator of k and 43\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2\/31, 3\/4, -2, 76?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 639.981 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 13*b + 18. Let o be r(-14). Suppose -4*v + 4*d + 174 = -d, -o*v + 192 = 4*d. What is the hundreds digit of 115\/v*(-212)\/(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 1\/19 (c) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201210 + 100?\nAnswer: 202010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 23.519, 3, -1\/6, 2\/3, 2, -0.2 in ascending order.\nAnswer: -0.2, -1\/6, 2\/3, 2, 3, 23.519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -58d (base 15) to base 14\nAnswer: -65c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 390*c = -140*c + 1577 + 1603 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 8, t: 5, s: 1, j: 2}. What is prob of picking 2 t?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2298500, 2298498, 2298494, 2298488?\n\"Answer: -j**2 + j + 2298500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -798*w + 45 - 45 - 5*w**4 + w**2 - 105*w**6 - 4*w**2 wrt w.\nAnswer: -12600*w**3 - 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5206.434 rounded to the nearest one hundred?\nAnswer: -5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1112*s = -31439 + 16983 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -117\nAnswer: -5\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460273 = 592*i - 12217*i - 27977 for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6799*j**2 - 6*j - 5. Suppose 15 = -2*n - n. Let u be p(n). What is u rounded to the nearest 10000?\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - -2 - -3*5\/15. Solve 3*y + t*z = 8*y + 5, -2*y - 5 = -3*z for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3491*k**2*m - 2*k**2 - 222412*k - 59*m wrt m?\nAnswer: -3491*k**2 - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*k - 266, -3*u + 6*u = k - 129. Let x(r) = r**2 - 4*r - 6. Let d be x(7). Let p = d - 3. What is the greatest common divisor of k and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8980 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 13 = 8*u, -2*w = -3*u + 718 - 731 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -44, -4, 1455, 0.2 in decreasing order.\nAnswer: 1455, 0.2, -4, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 3862\/(-10) - (-11 - 560\/(-50)). What is the greatest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + x + z = 3, -3 = -x - z. Let p = -1 + 1. What is the second derivative of v**3 + p + v + x wrt v?\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 20844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19.92 + 4.08. Let t = -63 - -38. Let m = r + t. Which is the biggest value? (a) -0.1 (b) m (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2 - 0)\/((-2)\/56)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 1, e: 2, u: 1}. Give prob of picking 2 l and 1 g.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 375857.2 millilitres in litres?\nAnswer: 375.8572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 239, 931, 2305, 4595, 8035?\nAnswer: 12859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16.7 in 2, -1270, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 22.1. Let r = -3.9 + z. Let p = -61 - -60.8. Which is the biggest value? (a) 0.4 (b) p (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w + 192*w**4 + w**2 - 3 + 4 - 194*w**4 to h*w**4 + i*w**3 + l*w**2 + n*w + f and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -0.5 (c) 3 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*v**2*w*y - 3*v**2*y**3 + 6*v**2*y + v*w*y**3 + 7*v*w*y**2 + w wrt y?\nAnswer: -18*v**2*y + 6*v*w*y + 14*v*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1225*s**5\/3 + 9205*s**4 + 124384*s**3\/3 - 20416*s**2 + 7168*s\/3 = 0. Calculate s.\nAnswer: -16, -7, 0, 8\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4\/3 + 488*y**3 + 34200*y**2 + 1894528*y\/3 = 0.\nAnswer: -656, -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 9*n**2 + 7*n - 7. What is q(8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -1749\nAnswer: 699.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7042698 millilitres to litres.\nAnswer: 0.0007042698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 3:28 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - g = 17, 4*g + 13907 = -3*d + 13908 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -167240 (base 8) to base 13\nAnswer: -21a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (75\/(-5) - 0)\/(-3). Is f\/20 - 54015\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.3 - -1.4. Which is the nearest to q? (a) 5 (b) 2\/3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -163?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*r**2 + r**2 + r**2 + r**2 + 210 + 30*r**3 wrt r?\nAnswer: 90*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 11*p**2 + 13*p + 21. Give v(-7).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 21 + 9 = 4*n, 3 = 4*n - r. Sort 1, n, 20, -0.2 in ascending order.\nAnswer: -0.2, n, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 + 14*k**2 + 25*k - 15. Let b be j(-12). Is 8 a factor of 80\/(-25)*(1 - b\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x**3 - 2*x**2 - 6*x - 5. Calculate i(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 4 = z. Suppose 0 = 4*r - n - 42, 3*r - 4*n = -2*r + 58. Let p = z - r. Calculate the remainder when p is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = l + 8, -12*x + 19*l - 30 + 7 = -17*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131478?\nAnswer: 2, 3, 17, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g**4 - 3*g + 2*g - 7*g**4 + 52 - g wrt g.\nAnswer: -16*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -4*w + 4, 3*w = m + 4*m - 45. Find the third derivative of 28*q**2 - 25*q**m - q - 3*q**3 + 4*q**6 - 19*q**6 + q**3 wrt q.\nAnswer: -4800*q**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 106535790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u - 5*u + 4*u + (5*u - 6*u + 5*u)*(1 - 1 + 1) + 0 + 2*u + 0)*(-73*u + u**2 + 73*u) to the form d + k*u**3 + t*u + m*u**2 and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 0 + 16 + 0 + (38 - 37) + 43.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 281185, 281207, 281229, 281251, 281273?\n\"Answer: 22*f + 281163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -719*q**3\/3 + 11*q**2 - 5*q - 1302. What is the second derivative of o(y) wrt y?\nAnswer: -1438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*c + 32, h + 16 = -2*c + 3. Let o = h + 6. Differentiate 7*s**3 - 2 - 6*s**o + 5 + 5*s**3 with respect to s.\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (22*w - 56 - 21*w - 21)*(0*w - 3*w - 2*w) to g*w**2 + c + p*w and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 11489744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 12:54 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 + -53. Suppose 7*r - b = 2*r. Suppose -o - r = -5*o. Solve o*s + 3*w - 9 = 0, -5*s - 1 - 2 = -4*w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hfc when three letters picked without replacement from cfbhzcu?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + -4.01. Let y(x) = x - 9. Let l be y(5). Let t(g) = g**2 + 5*g + 6. Let f be t(l). Which is the biggest value? (a) f (b) 2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -16*h + 3. Let f be m(3). Let i = f + 77. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 2*r + 43, -3*r + 5*j - 9 - 43 = 0. Suppose -65 = 5*g - 25. Does g = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14.1 + -15. Let o = -0.84 - p. Which is the second smallest value? (a) o (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**3 + 2*k**2 + 16*k - 2*k**3 - 4*k**3 + 5*k**3 + 3*k**3 + 5. Determine v(4).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 1\/2, 0.4, 17\/10?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1101222000?\nAnswer: -1101221212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 437864.\nAnswer: 2, 7, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15603812 to the power of 1\/2, to the nearest integer?\nAnswer: 3950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 2 - (3 + -7 + -1)) + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1077*g + 4187*g + 27990 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -211, -1818, -4915, -9844, -16947, -26566, -39043, -54720?\nAnswer: -73939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - p - 2*p)*(16*p - 8*p + 6*p) + (3 + 2 - 4)*(4*p - 4*p - p**2) - 56*p + 56*p - 5*p**2 as n*p + t*p**2 + j and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1551, -3121, -4691?\n\"Answer: -1570*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.4981846 + 86?\nAnswer: 66.5018154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.01 + 0.01. Let r = -1101.87 + 1101.08. Which is the nearest to z? (a) r (b) 0.1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*h**3*q**2*x**2 - 4*h**3*q*s + 2*h**3*q - h**3 + 7039*q**2*s*x**2 - 12*x**2 wrt q.\nAnswer: -4*h**3*x**2 + 14078*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.098 + 0.302. Which is the nearest to 0.3? (a) 2 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyy when three letters picked without replacement from {y: 13, n: 5}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 6\/13 in descending order.\nAnswer: 2, 6\/13, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 2. Let y(c) = 4*c - 5. What is -5*d(t) - 2*y(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 62 - 62.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = v + 23, -28 = -4*f + v + 3*v. Suppose -2*t - 7*b + f*b - 3 = 0, 2*t - 3 = -b. Solve 0 = 3*z + 2*r + 5, -7 = 5*z + 4*r - t*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 - 4*l**2 - l - 5. Give v(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 0 + (48 - 50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 2:34 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11233021100 + -3?\nAnswer: 11233021031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3599603389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 + -7. Solve 3*a + r = -3*h, -4*a = h + 2*h + 35 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u - 10. Suppose 0*p - p - 3*h + 6 = 0, -2*p - 3*h = -9. Determine t(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -105 + 372. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 20*n + 1224. Let g be ((-1)\/(-6))\/((-85)\/n). Sort -1\/7, g, 5.\nAnswer: g, -1\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n - 25. Let l be y(-7). Suppose 612 = 5*h + l*p, 219 = 5*h + 2*p - 389. Is 30 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 140\/23 = 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43534828 - 49426.4.\nAnswer: -43584254.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*b = -4 - 6 - 0, 4*b - 3481 + 3457 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v - 13. Let z(l) be the first derivative of l**2 + 86. Determine c(z(g)).\nAnswer: 2*g - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7277 - -7293. Let z be (-90)\/(-4) - (-1)\/(-2). Suppose x = z*f - 21*f. Does 16 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5719404 to the power of 1\/2, to the nearest integer?\nAnswer: 2392","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z. Let q(r) = -40 - 2*r + 11 + 15 + 14. What is q(m(j))?\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -100*q + 25. Let c be m(-2). Let o = 150 + c. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1328 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of z**7\/14 + 2*z**6\/5 + 3*z**5\/5 - z**4\/2 - 5*z**3\/2 - 3*z**2 + 9*z. Factor y(s).\nAnswer: 3*(s - 1)*(s + 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -337*q**4 + 1061*q**2 wrt q?\nAnswer: -8088*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3*1016)\/2 + -2. Suppose -4*y + 10166 = w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -499*(-1 + (-2 - -2)). Let w = g + 506. Suppose 6*j = 3*j + w. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 108 and 2220?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3845 and 277609?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c + 68. Suppose 3*w + 9 = 2*w. Let i be n(w). Calculate the greatest common divisor of 85 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -3*o - 9. Let z(t) = -3*t - 4. Let i be z(-4). Does 5 divide ((-18)\/i)\/o*12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59825051*a**2 - 17824759 wrt a?\nAnswer: 119650102*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3242*b**5 + 152*b + 6.\nAnswer: 64840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-51)\/(-12) - (-3)\/(-12). Let x = p - -6. Is 8 a factor of (90\/x)\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -443*h - 290. Let v(l) = -l - 406. Calculate v(x(m)).\nAnswer: 443*m - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 416909063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -8, 0 in increasing order.\nAnswer: -8, 0, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*h + 94 - 94)*(-2*h**2 + 4 - 4)*(17 + 72 + 78) to f*h**2 + t*h + r*h**3 + g and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65692 - 135246 = 2683*k + 19068 for k.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + (-1)\/(-2) - 70\/(-28). What is the nearest to 0 in 20, 2\/7, m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10961 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 69.97 + -70. What is the second smallest value in 1\/2, i, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/s)\/s**(-1)*((s*s**(-4\/9)*s)\/s*s)\/s**(-2) assuming s is positive.\nAnswer: s**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.992 + -0.492. Let r be (-7 - 1005\/(-150)) + (-1)\/2. Which is the closest to 2\/5? (a) f (b) r (c) 0.4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y - 1 + 0 - 5 + 3 - 4*y**3 as o*y**2 + j + c*y + x*y**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/(15708\/(-63))*113\/9 and 67\/84?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11341500 (base 6) to base 10\nAnswer: -355500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uqfrfuqfqf. What is prob of picking 1 q and 1 f?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of 17*x**4\/4 - 376*x**3\/3 + 22*x**2 + 13769. Factor z(w).\nAnswer: w*(w - 22)*(17*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5875 + 5879. Let p = 7.2 + -7.7. Sort p, t, -2 in ascending order.\nAnswer: -2, p, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36798?\nAnswer: 2, 3, 6133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -p**5\/30 + p**4\/4 - 3*p**3\/2 + 10*p**2. Let o be w(3). Let x = -7 - o. Solve 5 - 1 = x*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 196105111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000047837062 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -479\/3 + 301\/3. Let p be (-20334)\/9*2\/(-80). Let f = h + p. Find the common denominator of -93\/8 and f.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 9. Suppose 15 = g + b*g. Suppose -5*d = -2*d - g*q - 30, -5*d = 2*q - 36. Solve d + 12 = -5*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -16685 or -266937\/16?\nAnswer: -16685","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-94)\/(-12) + (-28)\/(-4200)*25. Solve 0 = -163*f + 155*f - d for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 59836?\nAnswer: 59835.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -139*g**5\/5 + 2*g**3\/3 + 13*g**2 - 37. Find the third derivative of l(b) wrt b.\nAnswer: -3336*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1424831 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/3 (b) 1\/124 (c) -6\/11 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32 - -64 - 14) + 2 + 0.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -27*w - 2. Let r(l) = -2*l**2. What is q(r(z))?\nAnswer: 54*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 5*r = 10, -2*x - 53*r = -56*r + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 8) to base 16\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 62\/403 + 368\/(-26). Let m(n) = 11*n + 398. Let v be m(o). What is the greatest common factor of 4 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5274332?\nAnswer: 1\/5274332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(70) + sqrt(70) + -5*sqrt(70) + sqrt(70)) + sqrt(70) + (sqrt(70)*-4 - sqrt(70))*5)\/(4*sqrt(160) - sqrt(110)\/sqrt(176)).\nAnswer: -136*sqrt(7)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 7 (b) 2\/17 (c) -129\/10 (d) 0.6 (e) 0 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2243c (base 14) in base 2?\nAnswer: -10100010011010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the second derivative of -w**6\/15 - 119*w**5\/20 - 2*w**4\/3 + 2*w**2 + 2*w + 2. What is the third derivative of m(r) wrt r?\nAnswer: -48*r - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 24 + 18. Let q be (120\/(-70))\/(2\/t). Suppose q*j = 4*j + 214. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4929579*k - 5005812?\nAnswer: 4929579","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 7 + 2 = -2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - 6*y - 14. Let s be g(8). Suppose s*t + 2*t - 76 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7.3, -1, -195, 0.4, -2, 5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.983629 < 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 2.83.\nAnswer: -0.849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 40 = 5*w + 8*u, 3*w - 4*u = -17. Suppose 3*x - 2 = 8*x - 2*p, 2*x - 8 = 3*p. Is 13 a factor of (-1 - x)\/(w\/(-231))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*q**2 + 14*q - 14*q)*(5 + 0 + 2 + 1) to the form d*q + h*q**2 + v and give h.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119327 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10912597801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 5*b - 1. Suppose -13 = 2*t - 1. Let y be k(t). Let h(d) = 3*d**2 - 2*d + 2. Is h(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s - 1. Let r(q) = 9*q - 2. What is 5*j(u) - 3*r(u)?\nAnswer: -2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {y: 9, t: 9}?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 7*y + 12. Calculate the remainder when 62*(2 + 0)\/4 is divided by ((-11)\/(-2))\/(8\/y).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tj when two letters picked without replacement from xtpxxptptj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, 0, -0.324?\nAnswer: -0.324","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 9*f**2 + 3*f + 15. Calculate c(-9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002000021122 - -11?\nAnswer: 1002000021210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23713670.\nAnswer: 2, 5, 37, 64091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 47*i**5\/60 + 19*i**4\/24 - i**2 - i. Find the second derivative of l(w) wrt w.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154729 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4005 and 2670.\nAnswer: 8010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (2 + -2)\/(-2 - -3))*13.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, -43, -169, -419, -835?\n\"Answer: -7*v**3 + v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 8:40 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*sqrt(13) + -2)**2 - ((sqrt(143)*-2)\/sqrt(11) + 2 + -1*sqrt(13)) - ((sqrt(182)\/(4*sqrt(7)))\/(sqrt(242)*-4))**2.\nAnswer: 3*sqrt(13) + 1548787\/30976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 - -4.7. Let a = -2.8 + k. Which is smaller: 0.2 or a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -12*l + 326. Determine p(29).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -2\/23, -1\/22, 542\/9?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/(855\/(-380))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1213 - 1210. Solve -k - f*s + 1 = 0, 0 = -4*k + k - 4*s - 7 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 - j**2 - 3*j + 2. Let s be u(2). Suppose 3*r - 2*r = s. Is 8 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 - r**2 + 1. Let f(v) = 53*v**3 + 103*v**2 - 8*v - 19. Let h(o) = o - 2. Let z be h(5). Let y(k) = z*t(k) + f(k). Factor y(g).\nAnswer: 2*(g + 2)*(5*g - 2)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/1572 and 17\/7?\nAnswer: 11004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 12. What is b(12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193635 is divided by 118.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-37)\/(-7) - 10\/35. Suppose 26 = n*k - 4. Let r(p) = -p + 3 + p**2 + k*p - 1. Determine r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 6) to base 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m + 5*m + 2*m as u + f*m and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4*u**2 - 172*u + 57. Calculate r(43).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/13, -7\/6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 2*m + 32. Suppose 89*j = 96*j - 35. Suppose -21 = -4*r - j*k, 3*k = -6 + 9. What is the greatest common factor of m and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 9*l**5 - 222*l**4 - 188*l**3 + 2898*l**2 - 1837*l + 300 = 0.\nAnswer: -4, 1\/3, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4.4 in -5, 24\/11413, -2, -0.3?\nAnswer: 24\/11413","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.641714 days to hours.\nAnswer: 15.401136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 58.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 495*h = 505*h + 20. Let b(l) = -67*l + 2. Let d be b(-12). Let k = d - 4855\/6. Are k and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l + 1. Let b(d) = -3*d - 2. Let u(k) = -k**2 - 6*k + 10. Let a be u(-7). Let o be (-4)\/a - 2\/3. Calculate o*y(j) - b(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-10)*13*5. Let x = 14 - j. Let w(g) = 29 - 29 - g + 0*g. Let d(s) = -4*s - 1. Calculate x*w(a) - d(a).\nAnswer: 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, -4, -1 in increasing order.\nAnswer: -199, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 340920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*s**2 - 24*s**2 + 8*s**3 + 9*s**2 + 64*s wrt s.\nAnswer: 48*s - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 5*p + 2*c = -36 - 24, 4*p - c = -33 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -11*d - 55. Let w(z) = 4*z + 19. What is -2*j(v) - 7*w(v)?\nAnswer: -6*v - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -10*p - 262. Let n(b) = b + 5. Give -f(z) - 8*n(z).\nAnswer: 2*z + 222","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1058 - 7*x**2 - 2*x + 59*x**2 - x - 32*x**4 - 52*x**2 with respect to x.\nAnswer: -128*x**3 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1.7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/11 - 138*m**2\/11 - 388*m\/11 + 48.\nAnswer: -2*(m - 1)*(m + 4)*(m + 66)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5767, -11790, -17813, -23836?\nAnswer: -29859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5770946 and 1064.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6329 - -5?\nAnswer: 6331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 = -3*l - 23, 10 = -k - 5*l. Factor 2\/3*c**3 + 0 + 0*c + 0*c**2 - 2\/3*c**k + 0*c**4.\nAnswer: -2*c**3*(c - 1)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(1\/109 - 0) is divided by 3\/(3\/(-74))*(-11)\/22?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3403*v - 3407*v - 13 - 1 + 5*v - 4*v + 0*v + (-1 + 1 - 1)*(-v + 4*v - v) - 2*v - 3 + 3.\nAnswer: -7*v - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1878)\/3443 + 804\/22 - 5\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -2\/3, -1.5.\nAnswer: -1.5, -2\/3, -1\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 31083296 + 5?\nAnswer: 31083301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 5097 - 5121 = -o, o - q = 26 for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27065\/14 or 1932?\nAnswer: 1932","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 551 is divided by 52.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-279)\/(-155)*(-2)\/48*5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3608, 3606, 3590, 3554, 3492?\nAnswer: 3398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 39*u - 51. What is the hundreds digit of n(-17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n + 23*n + 62 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 3*g - 184. Does 42 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -10*z**4 - 1026655*z**3 - 2566555*z**2 + 2053275*z + 1539945 = 0.\nAnswer: -102663, -3, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13155045?\nAnswer: 3, 5, 877003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1364\/175 smaller than -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 1:41 PM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 PM and 6:14 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from {n: 2, h: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-1\/6)*b*b*b*(b*b**(1\/18))\/b assuming b is positive.\nAnswer: b**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 198 is divided by 50?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of o**3\/2 - 66*o + 6. Let a(h) = h - 8. Let g be a(8). Let x be 1\/(-2)*2 - g. What is z(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let q(a) = 9*a - 1. Let x be (2 - (-8 + 2))\/2. Let y(j) = x*v(j) + q(j). Differentiate y(c) wrt c.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1645860168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q - 74. Let l be d(6). Suppose -4*i = -6*i + l. Solve i*a = -5*h - 16, -a - 21 = 4*h - 7 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*17\/(51\/(-4)) + -5 - -11. Solve -3*s - 4*r + z*r = 1, 5*s = 3*r - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50311552 (base 6) to base 15.\nAnswer: -1d2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -117, 2.05?\nAnswer: -117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-119) + 11\/(-77).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/11)*z**8*z*(z\/z**9*z*z*z)\/((z\/z**5)\/z))**(-50) assuming z is positive.\nAnswer: z**(-5000\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -63973 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2923, 2832, 2709, 2554?\nAnswer: 2367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 132 and 6.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/69)\/b**17*(b\/((b\/(b\/((b**(-5\/4)*b)\/b)))\/b)*b)**(-5) assuming b is positive.\nAnswer: b**(-10549\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 41, 63, 81, 101, 129, 171?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of -g**3\/3 + 35*g**2\/2 - 90*g + 3. What are the prime factors of v(28)?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-12 + 15) - (4 + 2 + 14)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -59.7 and 0.1?\nAnswer: -5.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)\/k**(1\/11))\/(k**8*k**(2\/19)) assuming k is positive.\nAnswer: k**(-4430\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117 + 132 = 3*h. Let f = h + -80. Suppose -4*q + f = -49. List the prime factors of q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 10*u - 4 - 6 - 3 - 9. Suppose 5*h - 125 = 5*z, -50 = 2*h - 4*h - 3*z. Suppose -h - 47 = -6*b. Let a(o) = -4*o + 9. Give b*a(d) + 5*s(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -1.5, 215.\nAnswer: -1.5, -2\/21, 215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 6\/117937 (b) 0.5 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*56.27827.\nAnswer: 22.511308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3.8 - -4. Suppose 5*g - 11 = 9. Which is the nearest to 0? (a) g (b) u (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-seven halves of a hour in minutes?\nAnswer: 2910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 251161.07 + -252489. Round y to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 265611 + 255?\nAnswer: 266166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*u - 223 + 60 = -37 for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25, 41, 57, 73?\n\"Answer: 16*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -11*h**2 - 2*h + 200. What is g(13)?\nAnswer: -1685","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u. Let v(s) = 11*s. Let o(n) = 2*l(n) + v(n). Let i(c) = c - c + 11*c**2. Determine o(i(w)).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 789 divide 31480375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 569 is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -3*p + 6. Suppose p*n + 0*n = 0. Sort -5, n, 1.\nAnswer: -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 412*j + 169. Let t(f) = -409*f - 167. Let i(q) = 5*l(q) + 6*t(q). Differentiate i(o) with respect to o.\nAnswer: -394","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 - 194 + 6*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 11126119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 25. What is the remainder when (f\/4)\/(-3) + 21 is divided by 2\/(-4) + (-100)\/(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3092478, 6185014, 9277550, 12370086?\n\"Answer: 3092536*z - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/9))**49\/(g\/((g*g*(g*g**(-2)*g)\/g)\/g))**25 assuming g is positive.\nAnswer: g**(-323\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -50 - -6?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*x + 45 = 0, 54 = -6*m + 5*x - 113 for m.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/10)\/((-27)\/18). Which is smaller: -1 or d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 89*a + 280. Is y(19) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48*((390\/91)\/6)\/((-10)\/(-7)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**(-20)*c)\/(c**(-26)\/c))\/(c**(-2\/55)\/(c\/((c**(7\/3)*c)\/c))))**(-41) assuming c is positive.\nAnswer: c**(-52111\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5860, -5, -6 in descending order.\nAnswer: -2, -5, -6, -5860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 329499422 divided by 3362239.\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6 + 8. Let r = -3011 + 3011. What is the nearest to r in -0.1, 1\/31, q?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 9.102699us?\nAnswer: 0.0000000025285275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -518600 in decreasing order.\nAnswer: 5, -3, -518600","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 21, 3, -2\/7, 2\/747?\nAnswer: 2\/747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {h: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -1 + 3 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 33*k. Let x(p) = -11*p**2 + 3*p. Let m(d) = 10*d**2 - 2*d. Let b(y) = -3*m(y) - 2*x(y). Determine z(b(t)).\nAnswer: -264*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 8:07 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*j**4 - 77 - 13*j**4 + 22*j**4 + 43*j**4 wrt j?\nAnswer: 252*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 276*g + 273*g + 40, -z + 1 = 2*g for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*f = -27*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18061.74ml in litres?\nAnswer: 18.06174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -315 (base 11) to base 7\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(135) - (sqrt(135) - -2*sqrt(135)))\/sqrt(5))\/sqrt(9) + 2*sqrt(6)\/sqrt(2) + (sqrt(3) + 2)*-5 + -1.\nAnswer: -5*sqrt(3) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 263 - 556 = 0. Let f = 90 - t. Sort -4, -3, -2, f in decreasing order.\nAnswer: f, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgrgfbygfbdgbb. Give prob of picking 1 y and 1 f.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 741 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -97.5 - -97.5. Sort 0.3, x, -10 in increasing order.\nAnswer: -10, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 460354 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99*i = 11521 + 7784. Solve -3*p - 3 = -f, -i*p = -5*f - 200*p - 25 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55 - -54. Let k be 1*-1*(-1 - 0). Which is the smallest value? (a) k (b) 1\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163885 less than or equal to 163869?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -3, 0.3, 2.14074, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1374*y**2 + 1881*y**2 - 3280*y**2.\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781125330.\nAnswer: 2, 3, 5, 26037511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of o**2*p**2*s + o**2*p*s + 8*o**2*s - 2*o*p**2*s - 21433*o*p**2 - 3*o*p*s + 2*p*s + 18*s wrt p.\nAnswer: 2*o**2*s - 4*o*s - 42866*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -36*y**3 + 46*y + 3 - 16*y**4 + 20*y**3 - 68*y**2 + 2*y**5 + 64*y**3 - 15 = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 5)*(0*r - 6*r + 4*r) - 26*r - 213*r + 69*r.\nAnswer: -178*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - 0?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 11:41 PM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13076117791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 261 + -264. Which is the biggest value? (a) 4 (b) -68 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**3 + 5*d**2 - 7*d + 5. Let i be c(4). Let p = i - -72. Solve -b = 2 + p for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85808236 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798741 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/77 and 109\/110.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/15 + -373\/60. What is the common denominator of f and 9\/272?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451895?\nAnswer: 3, 5, 43, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*q + 15*q + 12*q + (6 - 2 - 3)*(3 - 3 - 2*q))*(-2*q**2 + 0*q**2 + q**2) as p + w*q + b*q**2 + h*q**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1615 is divided by 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12096 by -576.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -66 + 50013135?\nAnswer: 50013036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 40271543107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovp. Give prob of sequence vvv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v - v + 0*v)*(2 - 5 + 4) + (-6*v + 3*v - 3*v)*(-4 + 0 + 9) - v + 1 - 1 + (-5*v - 2*v + 5*v)*(4 - 5 + 2).\nAnswer: -32*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9129 - 4832 - 7458 - 2*c + 6*c.\nAnswer: 4*c - 21419","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12850984?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 0 - 111*t - 1\/12*t**4 + 0*t**2 + 0*t**3. Let a(l) = 9*l**2 - 6*l. Determine a(n(d)).\nAnswer: 9*d**4 + 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 0*t**2 + t**2 + 2*t**2 - 93622*t.\nAnswer: t**2 - 93622*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -3\/616?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1.9 and 79?\nAnswer: 80.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -694097, -2776434, -6247011, -11105828, -17352885, -24988182?\n\"Answer: -694120*g**2 + 23*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 214 - 167. Calculate the highest common divisor of 94 and s.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 2*h + 4*r = 14, 5*h = 2*r + 2. Suppose -5*q - 2*i = -h*q + 9, -q - 16 = 5*i. What is the units digit of (-3)\/(q + 1\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 608\/335 and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556418373?\nAnswer: 3, 7, 571, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -265c3 - -4?\nAnswer: -265bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w + 697. Does 46 divide p(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131274 divided by -14586\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -4*w**3 - 13*w**2 - 8*w - 8. Calculate the remainder when 17\/(2*(-2)\/(-8)) is divided by t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 5*x + 7. Let z be r(7). Let w be -6 + 2 + (-4 - z). List the prime factors of (-135)\/(-3) + w + 2.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*(sqrt(75) + -1) + sqrt(75) + -1*sqrt(75) + -1)**2.\nAnswer: 60*sqrt(3) + 679","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -357\/2 (b) 0.3 (c) -0.5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 0)*59\/(-177)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1861, 3273, 5629, 8929, 13173, 18361?\n\"Answer: 472*h**2 - 4*h + 1393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3903071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9.4 in -5, -1\/3, 5, 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2049378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 - 16*j**2 + 17*j + 4. Let p be s(-17). Let m(i) = 4*i - 8. Let c be m(p). Suppose -k = -5*k. Solve -3*d + c*d = k for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9917?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 563404043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -15 - ((-160)\/(-5) - 38). What is the closest to 0.01 in -1, -0.07, i, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4258523850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 (base 8) in base 13?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90139*s**6 + 13*s**2 - 1025*s wrt s?\nAnswer: 10816680*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w + 4*w - 2*w)*(0*w**2 - w**2 + 7*w**2) - 4*w**3 - 15*w + 15*w in the form o*w + v*w**2 + j*w**3 + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**9\/22680 - y**7\/1890 + y**5\/180 + y**4\/24 + y**2. Let g(x) be the second derivative of s(x). Find u, given that g(u) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 8*s**2 + 84*s + 72.\nAnswer: -4*(s - 6)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 - -102. Suppose -z*n + 12 = -6*n. Suppose 0 = -n*g + 2*r + 508, -8*r - 760 = -3*g - 3*r. What are the prime factors of g?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 1\/2 (c) -0.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o + 84 = 22*o. Suppose -3*k - h = -24 + 13, o = 5*k + h. Solve 29 = -2*c - 0*w + 5*w, -5*c - k*w + 15 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268*a + 48*a - 235 = 81*a. Sort 0, 10, a, 5, 22 in ascending order.\nAnswer: 0, a, 5, 10, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 7*y**2 - 9*y + 2. Calculate p(6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 313337, 626685, 940041, 1253405, 1566777, 1880157?\n\"Answer: 4*v**2 + 313336*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 39\/1*(-2 - -4). Suppose 0 = -4*s + 3*t + j, -32 = -s - s - 2*t. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 30 = 7*g, -121*l + 117*l = 2*g + 48 - 108 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z + 25 = 11*z. Let q be 8\/6 + -3 + 2. Which is the closest to z? (a) q (b) 0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*j = -13, 2*v + 8 = 4*v - 3*j. Is 18 a factor of (2\/2)\/(v\/39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45447 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 65810853 to the power of 1\/2, to the nearest integer?\nAnswer: 8112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*n + 10. Let l = 14 - n. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862084523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5812176 and 4104.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = -4*d + 44. Let k(z) = z**2 + 10*z + 56. Is 8 a factor of k(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-3*4\/12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of x - 146. Let z = -5 + 9. Let h(p) = -p + 4. Let l(s) = z*v(s) - h(s). Let j(g) = -33*g. Calculate l(j(i)).\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231846 + -231846. Suppose 3 = -2*q - q. Put q, -17, l, -3 in decreasing order.\nAnswer: l, q, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363)*-4 - sqrt(3)) + 5*-2*sqrt(3))**2*-4.\nAnswer: -36300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 253 + 88. What is the remainder when x is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j. Suppose 2*a - 4*a + 10 = j. Calculate the remainder when a is divided by ((-1)\/2)\/(2\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 174, 181, 184, 183, 178, 169?\n\"Answer: -2*v**2 + 13*v + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34*2\/(-8))\/((-7)\/252*-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9 + 3*t + t - 3*t. Let w be f(7). Let c be 2\/6*-2*-12. Solve -4*u + w = 4*d, -3*u = d - 0*d - c for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6829 + 6824)*(-1 - -4)*(-2)\/(-3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w + 4*w + 0*w - 4 + 4*w. Let a(l) = l - 1 + l - 2. What is -5*a(j) + 4*g(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 5) + (1 + -1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1202347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 122259 and 5892?\nAnswer: 489036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 208513.74 months to centuries.\nAnswer: 173.76145","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*r + 7*r = -4, 5*r - 5 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 755*z + 18110. What is t(-24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 0, 3*k = 3*v - 283172 - 790213. Let d = v + -885793. What is d rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, r: 3, z: 1, x: 4, l: 4}. What is prob of sequence xll?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 308 * -11817.\nAnswer: -3639636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 16*y + 12. Let k be l(-13). Let w be 170\/k + (-4)\/(-6). Find the third derivative of 2*j**w + 9*j**4 + 4*j**2 + 3*j**4 - 3*j**4 wrt j.\nAnswer: 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*h, 0 = 2*s + 4*h - 0 + 20. Let c = 10 + s. 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 241096125 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**2 + 13*h + 11. Let f be r(-9). Suppose 2*m + 305*g - 309*g - 72 = 0, -2*m = -2*g - 64. Calculate the highest common divisor of f and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + 6 + -23 + -48.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a + 22. Give s(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - -4 - -1)\/1. Suppose m*y = 4*u + 174, u = -4*u. Is 24 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134468?\nAnswer: 2, 33617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 divided by 1992558?\nAnswer: 37\/1992558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2203, 4404, 6605, 8806, 11007, 13208?\n\"Answer: 2201*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 + 9*k + 4. Determine q(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 139 (b) 4 (c) 1\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1809 divided by -6.\nAnswer: 603\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3000110202 + 10?\nAnswer: -3000110132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 18. Suppose -4*k - 5 = -49. Let j = k - 0. Is j at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 6. Let l be u(-5). Let v be (-3 - 14\/(-4))*l. Suppose -j = -v*j. Solve 5*i - 2*i - 9 = j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2*c = -y - 18795, 75215 = -4*y + 3*c. What is y rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 2*p**3\/9 - 98*p**2\/9 + 190*p\/9 - 94\/9 = 0.\nAnswer: 1, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 + 7 = -5*w, 0 = 3*w - 5*n - 19. Suppose 4*p = 5*p + w*q - 10091, -4*p + 40364 = 5*q. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 (base 6) to base 16\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -44*m**4 - 1484*m**3 - 10996*m**2 + 14756*m - 2272. Let b(o) = -2*o**3 - 2*o**2 + 2. Let z(p) = 20*b(p) - c(p). Solve z(x) = 0 for x.\nAnswer: -17, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(((-12)\/2)\/(-1)*8\/(-22080)*-20).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is h in -2*h**3 + 28*h**2 - 128*h + 192 = 0?\nAnswer: 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/5)\/y)**(-38)*y**(-3)*y**(-2)\/y*(y*y**(-1\/4)\/y)**(17\/4)*(y**(2\/7))**(20\/3) assuming y is positive.\nAnswer: y**(42407\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.25846194 rounded to 2 dps?\nAnswer: 1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a century in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 9*b - 10. Let h be u(-11). Solve g + 1 - 2 = 0, 3*g = -5*j - h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34*-1.08412\nAnswer: 36.86008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -0.132, 4, 0.1, -5, 4\/3 in descending order.\nAnswer: 4, 4\/3, 0.1, -0.132, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75560486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3255497 is divided by 63?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h - 515*h**3 + 9*h.\nAnswer: -515*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1266.72431 and -0.5.\nAnswer: 1266.22431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0313779 litres?\nAnswer: 31.3779","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 229773312 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.09 - -14. Let h = -1.91 + w. What is the third biggest value in h, -0.1, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 786, 2.\nAnswer: -1, 1, 2, 786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - w + 1 - 5, 0 = -3*n + 5*w + 6. Let r be -2 + n\/2 + -3. Let k(y) = y**3 + 3*y**2 - 5*y - 1. Let x be k(r). Solve -p + x - 1 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 84775092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = 25. Sort -3, y, 4, 2 in increasing order.\nAnswer: -3, 2, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 30*w**2 - 3*w + 22. Let h be 9\/((-63)\/34) - (-1)\/(-7). Is y(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166738422 to the power of 1\/2, to the nearest integer?\nAnswer: 12913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -1, -37, -108, 0.1?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 43 = -2*m + 5*i, -50 = -3*m + 2*i. What is the third derivative of m*o**2 - 7*o**2 + 29*o**2 + 87*o**3 wrt o?\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 2.8. Let d be (13\/(-65))\/(9\/30). Let f = 12\/7 - 55\/28. What is the closest to p in d, f, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 + r**2 - 3*r - 3. Suppose 17 = -3*a - v, 30*v = 2*a + 28*v - 10. Give z(a).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154*d*t**2 - 2*d*t - d + t**3 - 11*t**2 - 82966*t wrt t?\nAnswer: -308*d + 6*t - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 16) to base 5\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 225563515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -48 + 0 + 1\/(-1). Let p = -2 - x. Is 20 a factor of p + 0\/(-2) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -3716*m**2 + 982*m - 3. Let a(u) = -2*u**2 - 3*u + 1. Let w(f) = 3*a(f) + g(f). Find the second derivative of w(h) wrt h.\nAnswer: -7444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 155470 and 77735?\nAnswer: 155470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*q - 4 = -2*i, 2*q = 3*i. What is the smallest common multiple of 11 and 88\/9 + i\/(-9)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, a: 4, q: 3, x: 4, i: 2, n: 1}. What is prob of picking 1 r, 1 n, 1 i, and 1 x?\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 255 and 3995.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 111222 + -26531. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1cd18c73 + 0?\nAnswer: -1cd18c73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 54 - 174 = -2*f, -g + f = -81. What is the greatest common divisor of 78 and g?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 7393*v + 36965. Let s be r(-5). Let a = -428 - -9838\/23. Let t = a - -64\/69. What is the nearest to 6 in t, -1\/4, s?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mfggedkm. Give prob of sequence kd.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 68552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836 is divided by 70.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 352.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100490?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10*-3)\/(18\/(18\/3))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14969 is divided by 65?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, r: 4}. Give prob of picking 4 r.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q - 43 + 55, 2*v = -2*q for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224652149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23598?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3799 + -1595. What is the highest common factor of f and 116?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, v: 7}. Give prob of sequence lllv.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-3)*(-36)\/24*-2. Suppose -4*t + 2*t - 4 = 0. Let c = 1 + t. Put n, c, 6 in decreasing order.\nAnswer: 6, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) -7 (c) -0.4192 (d) 0 (e) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 7 + 5. Is -1 + w + 12 + 167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4641242045 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5721685243 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.12 + -0.12. Let m be -10 - (-1 + 429\/(-44)). Sort c, m, -1 in descending order.\nAnswer: c, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37741373 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 264811*4\nAnswer: 1059244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23070 * 6.\nAnswer: 138420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/87879 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 2 + 1412*k - 2.\nAnswer: 1412*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -236*(-56)\/(-1792) + (4 - -3)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3 = 4*h, 0 = -0*h - 2*h - 3*i + 1. Suppose -m + l = -1, -4 = -2*m + m - h*l. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4*p = -24, h + 86*p - 8 = 82*p. Solve 6*g = 2*c + 2*g + 26, -8 = -h*c - 4*g for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 59940159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -12*o + 8484. Suppose -3*x = 3*b - o, 2030 = 5*b + x + 2*x. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 x when two letters picked without replacement from {l: 1, x: 2, k: 7}.\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-4) + (-114)\/(-16). Let o = x + -1469\/216. Let b = -73\/108 - o. Which is smaller: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1712 divided by -18161\nAnswer: -1712\/18161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - h**2 + 1. Let j(w) = 77*w**3 + 3*w**2 + 3*w + 1. Let i(s) = -j(s) + 5*o(s). Is i(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhfddddfh. Give prob of picking 2 h and 2 d.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*x - 30*x = -3*x - 70*x + 1620 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2985*c + 64655 - 15830 = 2670*c for c.\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*h = -3*h - 10, 4*h + 8 = 0. Let p be (-4)\/2*v\/(36\/33). Sort 4\/5, 2\/9, p, 0.\nAnswer: 0, 2\/9, 4\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 96 + -91. Let j be -1 + 1*(-9)\/(-8). What is the third smallest value in t, 3, j?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -66, -5 in ascending order.\nAnswer: -66, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 4*d = 14, -12 = -10*d + 14*d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*x**4 - x**4 + x**4)*(3 + 23 + 187) + 2*x**4 + 23*x**4 - 14*x**4 as s*x**3 + b*x + l + a*x**2 + u*x**4 and give u.\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -139.7 + 140. Which is the second smallest value? (a) o (b) -4\/3 (c) 64 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -36*p**3 - p - 1. Let f be y(-1). Let a be -5*(-15)\/f + -2. Let r(q) = -q + 15. Let j be r(14). Which is greater: a or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1386369.5 rounded to the nearest one thousand?\nAnswer: 1386000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3801\/430 - -6\/43. Find the common denominator of j and (-283)\/23 + -8 + 21.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-9)\/((-9)\/1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 2577?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.2 + -4.2. What is the biggest value in -0.126, 0.4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -14. Solve 3*t = v*t - 4*u + 2, u = 3*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 8*b. Let a(s) = -15*s. Suppose 65*z - 13 = -15*z - 293 - 120. Let n = 3 - 5. Give n*a(p) + z*f(p).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00323780327 rounded to seven dps?\nAnswer: 0.0032378","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 626296.\nAnswer: 2, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0*m)**7\/((m**2\/m)\/(m\/m**(2\/5))) assuming m is positive.\nAnswer: m**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/252 and 71\/315.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -101289 divided by -57?\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 252153 to the power of 1\/2, to the nearest integer?\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/7 or 3?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + -17 + (-3 - 23) + -2 + 1.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/12*-6 + (-2420)\/(-1608). Which is bigger: 1 or z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 19. Suppose 3*w - j - 29 = 0, 5*j = -5*w - y*j + 15. Calculate the smallest common multiple of 1 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/11, 3, -1, 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -134, -307, -492, -695, -922, -1179, -1472?\n\"Answer: -h**3 - 166*h + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 55*k**4 - 48*k**4 + 61*k**4 + 2*k**2 + 7*k**4 - 4*k**4 + 6*k**4 + (k - k - 2*k)*(-k**3 + k - k).\nAnswer: 79*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -18413\/14237 at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (0 - 2 - (27 - (22 + -27)) - -10).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6 + 81*t**2 + 80*t**2 - 162*t**2 - 4*t. Let g be a(-5). Let z be (-5)\/g*(-2 - -1282). What is z rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**3 + 15*c**2 - 8*c - 1. Determine v(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 244.7719 litres in millilitres?\nAnswer: 244771.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(6\/5)\/w)\/(w\/w**(-18)) assuming w is positive.\nAnswer: w**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3901, -3880, -3859, -3838, -3817, -3796?\nAnswer: -3775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*d - 80, -2*d = -3*m - 102 + 18. Suppose 5*f - 475 = -5*p, 0 = 3*f + 2*p + 118 - 407. Let g = f - d. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3945?\nAnswer: 3, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 - -1.9. What is the second smallest value in -3\/16, k, 5, -0.012, 3?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h - 7. Let g(d) = -d - 1. Determine b(a) - 5*g(a).\nAnswer: 8*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42176925?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -167 - -50. Let v = 168 + q. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1*(sqrt(1008) + -3) + 5*(5*(sqrt(1008) + 4) + sqrt(1008)) + -5 + 0)**2.\nAnswer: 71424*sqrt(7) + 977904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -13111 (base 5) to base 15\nAnswer: -48b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1787\/174369 + 3046840675\/2458951638. Let n = 1\/641 - x. What is the common denominator of n and 73\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 440.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i = 1 - 41. Let b be 75*i\/(-18)*504\/20. Suppose 3*p + l = 331, 6*l + b = 4*p + 2*l. List the prime factors of p.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7322253 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f + 3684 - 1066. Let x = f + 1303. List the prime factors of x.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - 1 - (835 - 0)\/5. Let m be (c\/10)\/(1\/(-30)) + 1. Let f = -5561\/11 + m. Which is smaller: f or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-2) + 6\/(-4). Let c be 7 + z*10\/15. Solve -g + c*g = -8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from -2400983761.\nAnswer: -2400983742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4*o + 12, 4 = 5*a - 0*a - 3*o. Suppose -2*s + 176 = 5*t, -a*s = 2*t + 3*s - 83. Suppose 46 = 2*p - t. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258 - -1129. Calculate the highest common divisor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 86109.84 millennia?\nAnswer: 1033318080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12491944201 + 12491089860.00095. Let r = 854304 + p. Let q = -37 - r. Round q to 4 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - ((-12)\/8 - 91\/26). Suppose -2*t - 10 = -2. Let m = 3 - t. Solve i - m = q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 600.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 87*q + 44330. Let w(j) = j. Determine w(v(h)).\nAnswer: 87*h + 44330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.245 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 110011101001101001000101?\nAnswer: 110011101001101000111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -21, 28, 247, 720, 1531, 2764, 4503, 6832?\n\"Answer: 14*a**3 + a**2 - 52*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -74*r**3 + r + 61*r**3 - 2*r**2 - 482 + 14*r**3 - 2*r**4 + 87 as o*r + i*r**2 + t*r**4 + h + g*r**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvvvvcvvcvvvvv. What is prob of sequence vv?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/2*(81 + (-4973036)\/61404)\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -65 + -87 + 595144\/3916\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 141387.19?\nAnswer: 141386.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or -203?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -14\/5, -0.4, 5, 2443, 7 in descending order.\nAnswer: 2443, 7, 5, -0.4, -14\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + a = 3, -a + 37 - 31 = 3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96313817 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.5. Let t = 3.7 - 0.7. Let m = 0.1 + -0.5. What is the second biggest value in t, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 20, -2*r + 4 = -2*g + 6*g. Let f(z) = -5*z - 25. Let s be f(r). Solve -5*h + 13 = -4*l, 5*l + 3 = -s*h + l for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + 10 - u - 32 to the form a + l*u and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26472?\nAnswer: 2, 3, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99836*k - 1636*k - 3 + 3 - 62321*k.\nAnswer: -163793*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 6215.07 centuries?\nAnswer: 62150.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -159*o + 47 - 211 + 55 + 48 + 55. Let g(x) = -4*x**2. Calculate g(b(q)).\nAnswer: -101124*q**2 - 7632*q - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**3 + 2*h**2 + h + 1. Let l be x(-2). Let f = -8 - l. Calculate the highest common factor of f and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o + 3. Suppose 6 = 3*f - 0. Let c(z) = 1 - z + 0*z - 2*z + 0*z. Let r(y) = f*u(y) - 5*c(y). What is r(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -4, 4, -0.1, 0.72, -5 in increasing order.\nAnswer: -5, -4, -2\/17, -0.1, 0.72, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**3 + 5901*x**2 - 5459296*x - 5465196 = 0.\nAnswer: -6714, -1, 814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845747199?\nAnswer: 47, 619, 63443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t**2 + 22*t. Let g be z(-13). Let o = -49 + g. Calculate the greatest common factor of 1 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h - 1. Suppose -4*w = -2*a + 6, 3*a - 4*a - 3*w = -3. Let x(c) = -6*c + 2. What is a*x(r) + 4*v(r)?\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5352 from -0.2.\nAnswer: 5351.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence at when two letters picked without replacement from {t: 1, i: 1, o: 1, d: 1, a: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54365855.22999471 - 54365856. Let y = -0.77 - f. Round y to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t + 36 = 48*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 606 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/4*(-9460)\/387. Calculate the greatest common factor of k and 2365.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 2*c**2 + 5*c - 3. Let h be f(3). Let z(a) = 6 - 4*a - 5*a**2 + 3*a - a**3 - 10 + 2*a**h. Give z(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fourty-three halves of a second?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 + 7. Suppose 5*l - 37 = 4*u, -15*u + 18*u = -3*l + 6. Let g(k) = 7*k + 4. Let x(p) = -4*p - 2. What is l*x(v) + w*g(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + 6*c**2 + 3. Let w be g(6). Suppose m = 4*a - 6281, 0*a - w*a + 2*m + 4717 = 0. Is a\/(10\/4 - (-2 + 3)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3 + (-3 - 3 + 5)*(-4 + 5 + 2))*(-588*g - 64892 + 64892).\nAnswer: 1176*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -3*r - d - 15, 5*r = -4*d - 32. Suppose q = 2 + 8. Put r, 4, q in increasing order.\nAnswer: r, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, 2, 4, 5 in ascending order.\nAnswer: 2, 4, 5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -114*a**3 + a**2 - 73*a + 283. Let d be q(4). Is -7289 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 6*i - 7. Let r be g(-4). Let v = 1 + r. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 15*o**2 - 5*o - 10. Let x(d) = 9*d - 6. Give s(x(c)).\nAnswer: 1215*c**2 - 1665*c + 560","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 5*l**2 + 120*l - 462. Determine x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1364)\/33)\/(164\/123).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 - 29*w**2 - 20*w + 32. Give h(0).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -48 + -25 + -45 + 65\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*f**3 + 2*f - 11*f**3 - 2*f.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 35*f**2 - 1. Let p(h) = 316*h**2. Give m(p(i)).\nAnswer: 3494960*i**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.5. Let t = -132 - -22. Let d = -113 - t. Put d, -7, h in descending order.\nAnswer: h, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 463.153 and 87.\nAnswer: 40294.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(-2\/5)*l\/((l\/(l\/(l\/l**12))*l)\/l)*l*l*(l\/l**9)\/l**(-7\/5) assuming l is positive.\nAnswer: l**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d**5 - 528*d**4 + 13203*d**3 - 116418*d**2 + 341880*d = 0 for d.\nAnswer: 0, 7, 10, 11, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 15, -5, 6 in decreasing order.\nAnswer: 15, 6, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 2) + (5 - (13 - 11) - 6) + 6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 462 (base 13) to base 10.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 249.1?\nAnswer: 249.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -528*k - 187. Let v(n) = -17*n - 6. What is 6*r(p) - 187*v(p)?\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -5*i - 42, -3*i + 38 = 5*v - 2*i. Let n(p) be the second derivative of 0 - 12*p + 1\/6*p**3 + 7\/2*p**2. Calculate n(v).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -85, 0, -10838 in decreasing order.\nAnswer: 19, 0, -85, -10838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 3*z + 13 = -6*z, -3*z + 22 = 2*k. Suppose -3*o + 1155 = 3*h, -2*o - 932 = -k*h + 1021. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 0 + 1\/40*v**6 + 0*v + 2*v**3 + 1\/4*v**5 + 25*v**2 + v**4. Let h(m) = 0. What is m?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34, -35, -36, -37?\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfb when three letters picked without replacement from {f: 2, q: 8, w: 5, i: 2, b: 1}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2925 and 600.\nAnswer: 23400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*r + 1063 = 6123. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of -p**4\/12 - p**3 + p**2\/2 - 45*p + 61. Let r(k) be the first derivative of w(k). Calculate r(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7663.13 - -7758. Let h = v - 96. Round h to one dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 2*b + 62, b - 33 = -3*m - 2*b. Suppose 4*v = 6 + m. Solve -3*d + v = -2*n, 0*d - n = -d + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 10*x - 16 = 0. Let k = 19 - x. Suppose -k*a - 12 = 0, 0 = -w + 5*a + 145 + 40. Is w a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5544 divided by 2\nAnswer: 2772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0*q - 2 + 2*q**2 + q)*(1 - 2 + 0 + (-3 + 3 - 2)*(1 - 1 + 1)).\nAnswer: -6*q**2 - 3*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2*y + 0*y = -12, -t - 3*y = -17 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/72 and -95\/48?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**4\/3 - o**2 - o. Differentiate a(b) wrt b.\nAnswer: 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1115)\/(-223) + (-2*3)\/1. Which is smaller: -40\/29 or b?\nAnswer: -40\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550) - (sqrt(550) + sqrt(550)*4 + sqrt(550)))\/(sqrt(121)\/(-6*sqrt(11))).\nAnswer: 150*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(6897)*-2 + sqrt(6897)))\/(1*(sqrt(108) - -2*sqrt(108))).\nAnswer: -11*sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -29371, -0.041 in decreasing order.\nAnswer: 0, -0.041, -29371","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qlqqlqlqlqqqql?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, 0, 17, 39, -5.\nAnswer: -5, -2, 0, 3, 17, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 2:10 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**5\/10 + 5*y**2 - y + 186. Let d(l) = 1. Let s(u) = 1. Let t(b) = -3*d(b) + 2*s(b). Give n(j) + 10*t(j).\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k. Let f(t) = 1 + 4 + t**2 - 2. Let p(c) = -4*c**2 - 10. Let b(d) = -7*f(d) - 2*p(d). Let s(u) be the first derivative of b(u). Give l(s(q)).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-2) - -4) + (-16146)\/(-2340).\nAnswer: 22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10)\/(-4) - (-15)\/(-30). Let j(l) = 4*l**2 + l - 5. Let v(g) = g**2 - 1. Let o(s) = -j(s) + 3*v(s). Calculate o(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**2. Let j(p) = -1380*p. What is c(j(l))?\nAnswer: -5713200*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + (3 + -13)*9\/(-18). Suppose d = -10*f + 1985 + 195. What are the prime factors of f?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/315450 and 103\/10.\nAnswer: 315450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n + 13 = 7*w, 152*w - 1 = 3*n - 2*n + 155*w - 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p + 12. Let i be h(6). Is ((-52)\/i)\/(4\/66) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 - (-64)\/(-12))*(-3)\/2. Suppose y*v - 10*v = -16. Solve -v = 7*n - 9*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*v + 1545*v - 19152 = 0 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -33*x**2 - 4821. Let g(i) = -5*i - 4. Give c(g(k)).\nAnswer: -825*k**2 - 1320*k - 5349","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -1\/6*n**4 + 0*n**2 + 0*n**3 - 3*n + 0. Let y(h) = -5*h. Give q(y(d)).\nAnswer: -50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9527 at least -9528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 58270441 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 2*p - 2*p)*(2 - 5 + 2)*(4*p - 8*p + 7*p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.561699 years in decades?\nAnswer: 0.1561699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50167025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -16 + -1 - 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*b = 90*b - 28 - 6, f + 5*b = -64 for f.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 7*u**4\/4 + 2*u**3\/3 - u - 57. What is z(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -6*v - 3. Suppose 0*m - 60 = 5*m. Let x be k(m). Does 9 divide x*6\/(-45)*-5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -214*c - 1 + 414*c - 171*c - 2*c**4 + 2*c**3 as s + u*c**2 + g*c + a*c**4 + j*c**3 and give g.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:30 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -0.2 (c) 53 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106 and 27901850?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -1436*i - 9786. Calculate the remainder when s(-7) is divided by 43.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 3*q + q - 37, -c - 1 = -2*q. Suppose -5*m = -p + 104, -2*p = -c*m + p - 102. Let s = m + 39. Does 9 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*o - 28 = -481*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14825 is divided by 7310?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 113133 (base 5) to base 11\nAnswer: 314a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 2*v = -9*w - v - 366, -2*v + 110 = -v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-98 + 8*v + 98)*(0*v**2 - v**2 + 3*v**2) + (3*v - 2*v + v)*(v + 3*v**2 - 2*v**2 + v**2) as a + b*v + s*v**2 + w*v**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 70*d + 328. List the prime factors of a(16).\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 10 - 10. Suppose -d*x + 20 = -x. What is the third derivative of -y**5 + y**5 + 2*y**2 + 2*y**x wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 4 - 1 - 3*n**2 to the form c*n**2 + x + h*n and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54440 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.2, -0.4, -121, -5690, 0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.29, 1\/116, -2.6, 1\/5, 3, 4.\nAnswer: -2.6, -0.29, 1\/116, 1\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/((-3 - -2)\/1). Let k(p) = 5*p**2 - 4*p + 80. Let d(c) = -c**2 + c - 11. Let f(i) = 6*d(i) + k(i). What is f(j)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddfy when four letters picked without replacement from fdffdydf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 3594680600?\nAnswer: -3594680600.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**3 - j**3 + 5*j**3)*(-j + j + 2*j - j - 4*j + 3*j + (4*j - 4*j + 2*j)*(0 - 4 + 2) - 26*j - 51*j + 155*j).\nAnswer: 296*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxyygglqgyeglgxgxxyg. What is prob of sequence xgl?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396067 is divided by 128531.\nAnswer: 10474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**3\/3 + 327*o**2 + 6514*o - 806. Differentiate d(z) with respect to z.\nAnswer: -2*z + 654","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.18 + -6.03. Which is the closest to 1\/4? (a) -0.3 (b) 5\/3 (c) t (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -11. Let x(u) = -u**4 - 3*u**3 + 3*u + 6. Let i(k) = 4*k**3 - 4*k - 7. Let y(h) = r*i(h) - 4*x(h). Differentiate y(w) wrt w.\nAnswer: 16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 16) in base 8?\nAnswer: -142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-11 + 9)) + -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156 - -341. Suppose o = 2*c - 181, 3*o - 2*o = -2*c - a. Let p = o - -262. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 4, i: 4, y: 2, d: 3, w: 3}. Give prob of picking 3 w and 1 q.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**5 + c**5 + 3*c**2 - c**4 + 3*c**3 - 2*c**4 + 0*c**3.\nAnswer: -3*c**2*(c - 1)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*j + 19, 5*j + 5 = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 22 + 125 = 0. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120 - -22?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-16 - 56) + (-16 - -12) + (-1 - -7)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**4\/24 + 10*z**2 - 6. Let o(w) = 9*w - 31. Calculate o(v(f)).\nAnswer: 9*f - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 + 6*w - 30. Let q be x(5). Suppose -q*d = -19*d - 12. Solve -d*p - 20 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -95560*j + 270469?\nAnswer: -95560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -2. Let d = -202 + 81. Let n be d\/a - 8\/28. What is the greatest common divisor of n and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a03 - -2496?\nAnswer: 3199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - 5) + (-21)\/11. Let i = -156 + 155.5. Put r, i, -4, -2\/11 in descending order.\nAnswer: r, -2\/11, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**2 - 39180*p + 39183*p + 7 - p**2 to r*p**2 + a*p + n and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158 is divided by 30?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-14)*(-6)\/((-12)\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007697495211 to four decimal places.\nAnswer: -0.0077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -r, -2*p + r = -0*r - 35. Suppose -p*t + 26*t = 1272. List the prime factors of t.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1 + (20 - 22).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44334087\/13 or -3410314?\nAnswer: -3410314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(153) + (1 + sqrt(153) - sqrt(153)) + 5)**2 - (4 + sqrt(153) + 0)) + (2*1*sqrt(187))\/(sqrt(11) - ((sqrt(99) - 3*sqrt(99)) + sqrt(11))).\nAnswer: 100*sqrt(17)\/3 + 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 640\/9*n**4 + 1072\/3*n**3 - 100\/9*n**5 + 0 + 3712\/9*n**2 + 1280\/9*n = 0.\nAnswer: -2, -4\/5, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((1\/(-5))\/((-11)\/(1485\/18)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3ba89b7 (base 12) to base 13.\nAnswer: -261370c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65287 is divided by 65206?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes after 2:50 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 10*k**2 + 9*k + 35. Is 30 a factor of c(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -8*z + 2. What is the remainder when 98 is divided by i(-4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.6 + 7.6. What is the nearest to 0.6 in 3, 0.5, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -31. Suppose -2*r = -7*r - d + 7, 0 = -4*r - 4*d + 12. Put -1, r, u in descending order.\nAnswer: r, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 904016 times -20\nAnswer: -18080320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 67 = 7. Suppose 0*x = -5*x + l. Find the second derivative of -2*t + 4*t**2 + 4*t - 4*t**2 + x*t**3 wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 12*d**2 + 10*d + 3*d**3 - d**3 - 3*d**3 - 17 + 6*d. Calculate the remainder when 64 is divided by y(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0009325 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20233 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1510.5 + -1510. Let a = 0.3 - 0.2. What is the nearest to -0.05 in 3, b, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8)\/(-4)*(-851 - 2). Which is greater: -1704 or g?\nAnswer: -1704","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, -42, 268, 1526, 4278, 9070?\nAnswer: 16448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5.1 and 166.5567.\nAnswer: 161.4567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0*(-2)\/(-2))\/(-1). Let y(l) = 45*l - 39. Let g be y(7). Suppose -3*c + 5*f - g = -1670, 4*c - 4*f - 1872 = u. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5178?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.3 (b) -7 (c) 1 (d) 5 (e) -1\/2 (f) 2878\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117220 smaller than 116963?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkqssqsskkkkkskkkk. Give prob of picking 1 q, 1 s, and 1 k.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.22 + -20.78. Let r = d + 15.13. Let p = r + -0.13. Sort 0.4, -0.4, p in ascending order.\nAnswer: p, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*b**3 + 13*b**2 - 81 - 11*b**2 + 173 - 92.\nAnswer: -44*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135085480?\nAnswer: 2, 5, 29, 101, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*i = -91*i + 1980 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -195 - w**4 + 137 + 2*w**3 + w**3 to j*w**3 + r*w + n*w**4 + d + b*w**2 and give d.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = m - 6*m + 105, -2*m = 2*b - 26. Let v be 4\/m + ((-2845)\/(-9))\/(-5). Which is bigger: -62 or v?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 10, r: 4}. Give prob of sequence aaa.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*j + 4*j - 422, 0 = -2*z - 5*j + 422. Let c = z - -239. Is 9 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 26. Let i be j(6). Let o(c) = c**3 + 2*c**2 + 2*c - 21. Calculate the remainder when o(i) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28131065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 77?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 3057*h - 246844. Calculate l(-83).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/106182 and -47\/3915.\nAnswer: 46189170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 935905159?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -7\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from lcczlzccc?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54995080 by -5.\nAnswer: 10999016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2*((-9)\/21 + (-26)\/(-28)). Let x(p) = -7*p - 5. Let m be x(a). Solve 5*v - 15 = 3*z, 5*v - 15 = -0*v + m*z for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence co when two letters picked without replacement from occxcxidicoccx?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 231220 - -23?\nAnswer: 231303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 8\/341, -0.3, 0.1, -0.7, 4\/13?\nAnswer: 8\/341","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/3 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 2*r = 7*r + 77, r + 604 = -125*i + 213 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243836 and 23876.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -272, -1107, -2498, -4445, -6948, -10007, -13622?\n\"Answer: -278*x**2 - x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of -l**7\/1995 + 67*l**6\/1140 + l**2 - 123*l. Factor k(j).\nAnswer: -2*j**3*(j - 67)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3271822415?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-248 - 284 + 50)*(-13 + 13 - 3*z**2).\nAnswer: 1446*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 21619?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -4*u + 28. Solve -9*v = -u*v - 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h + 2. Suppose -27*v + 28*v = 5. Let t = v - -11. Let m = -18 + t. Let y(x) = 1. Calculate m*y(a) + u(a).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -80 - -109. Suppose h = -17*o + 165. Calculate the highest common divisor of 44 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 10:13 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34417.31156 - 34418. Let r = 0.69 + q. Round r to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -915 by 2.\nAnswer: -915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/32 and -31\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/3 (b) -233.89 (c) 5 (d) 1\/8 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 29212616 to the power of 1\/4, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 280*z**4 - 346*z**2.\nAnswer: 6720*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 0 + sqrt(500) + sqrt(500)*-1 + (((sqrt(245) - (sqrt(245) + 0))*5 + sqrt(245))**2 - sqrt(245)) + -2 + 3.\nAnswer: -sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 149 and 13?\nAnswer: 1937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**2 - 14*h**2 + 12*h**2 - 35*h**2.\nAnswer: -67*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -37, -0.1, 0.3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/(-90) - (-372)\/620.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 0) + -3 - (0 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 14*n**2 - 4*n + 23. Let v = 30 + -44. List the prime factors of c(v).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2 - 7*b + 2. Let c(k) = -k**2 + 6*k - 1. Let w(g) = 3*c(g) + 2*m(g). Is w(3) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-1)\/2 - -2). Suppose -121 = -39*s + 152. Sort s, -4, b, 5 in ascending order.\nAnswer: -4, b, 5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16360 and 14.\nAnswer: 114520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 532, 12?\nAnswer: 532","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 43 + -59 - (-1 - -1) - -6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 43. What is the second derivative of 5*a**2 + 4*a**2 - v*a + 3*a**2 wrt a?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 604895318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 173?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 22579412 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/(21\/252). Solve -4*x = -z - 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97\/194*-2*-1*1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99829975?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/(-2))\/((-24)\/(-112)). Let h be z\/2*2 - (-44 + 46). Solve 33*g + h = 32*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5cc - b5?\nAnswer: -6a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181078597.\nAnswer: 7, 25868371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.04 - -6. Let k = 0.01 - h. What is k rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -148*q + 2874. Solve -q*m = -16*m + 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1145.731*0.4.\nAnswer: 458.2924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z + 26. Let c(b) = -7*b - 26. Let a(h) = 4*c(h) + 3*p(h). Let f = -3 + 7. Calculate the remainder when f is divided by a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - d - 4. Let p be a(-3). Let h be (-16)\/24*(p + 1). Let g be (3\/h)\/(3\/(-6)). Put g, 5, 0 in decreasing order.\nAnswer: 5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7767398 to the power of 1\/2, to the nearest integer?\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*-15 + -54 + 37.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/5 (b) 0.06 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0 - 4 = 0. Let c = x + 3. What is the remainder when 7 is divided by ((-3)\/(-2))\/(1\/c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 49, 1 in descending order.\nAnswer: 49, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 + (34 - (-12 + 79)) + 14.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k. Let w(f) = f + 1. Let g(l) be the first derivative of -l**2 - 3*l - 17. Let y(q) = -g(q) - 3*w(q). Determine j(y(s)).\nAnswer: 7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 25*y + 10868. Calculate j(117).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39 - 83. Is (2 - -4)*p\/(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, i: 2, c: 7, y: 3, k: 1, m: 3}. What is prob of picking 2 i, 1 k, and 1 m?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63518 and 422562.\nAnswer: 1917163794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4122 is divided by 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219630 is divided by 267.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 533, 809, 1555, 3005, 5393?\n\"Answer: 39*r**3 + r**2 + 493","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39\/(-12))\/((-4)\/16). What is the highest common factor of 91 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4122055 (base 6) to base 16\nAnswer: -30353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26, -71, -154, -281, -458, -691, -986, -1349?\n\"Answer: -z**3 - 13*z**2 + z - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(728\/(-39)) + 1\/4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16b - 199a9?\nAnswer: -19b36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q**3 + q**2 + q. Suppose -8*o + 16 = -4*o. Suppose -7 = -2*y + 7. Suppose 0 = -i - t + 1, t = -i + o*t - y. Determine v(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211598409 to the power of 1\/4, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2)*(k - 4*k + 2*k)*(1 + 2 - 2)*(-2 - 4 + 5).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + 14. What are the prime factors of n?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*t**4 - 14*t**3 - 10*t**2 + 12*t = 0. What is t?\nAnswer: -1, 0, 3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2670314218\/1359 - 1964911. Let u = x + -2\/151. Which is bigger: 1 or u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -301 - 136db1?\nAnswer: -1371b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/(-234)*(-58)\/4. Let u = -1\/13 - j. Factor -1\/3*h**2 + h - u.\nAnswer: -(h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 4, 0*w = 4*g + 5*w + 20. Suppose -6*z + 5*z = g. Suppose z = 5*x - 6*x + 86. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 = -531*z + 524*z. Solve z*a - 20 = 20*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -1835*p + 17499. What is the lowest common multiple of m(9) and 36?\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 179.51 to the nearest 10.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + 1348)\/(5 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30898.5 minus -43881.3?\nAnswer: 74779.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**2 - 7. Suppose 15*q = -2*q + 4*q. Suppose q = 3*g + r + 19, 0 = -6*r + 3*r + 6. Let b(h) = -2*h**2 - 3. Calculate g*b(w) + 3*d(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m*t*u**2*w**2 - m*u**3*w**2 + 2*m*u**3 - m + 13*t*u**3*w**2 + t*w + 3*u**2 + 5*w**2 wrt u?\nAnswer: -6*m*w**2 + 12*m + 78*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*y**4 - 1152*y**3 + 3438*y**2 - 3432*y + 1143 = 0. What is y?\nAnswer: 1, 381","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 0*y - 10 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 e when two letters picked without replacement from dmanmnmennmadd.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 5:28 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 4:46 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 390 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 65*u + 63*u = 2836, -5*x = 3*u + 2834. What is the second biggest value in 0.4, 2\/7, x, -2, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 5730 = -5*d - 1255, -a = 5*d - 4499. Calculate the highest common divisor of d and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i = -319 - 233 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 1, i: 2, y: 1, j: 2}. Give prob of sequence yj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 4 + (8 - (34 + -6 + 3))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/14485975 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77 and 25499738?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-12) - -6) + 1*8. What is the smallest value in 2, s, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 81 is divided by 20 + 7 + (0 - 6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 - 1. Suppose 0 = 5*q - 2*p - 53, -332 + 314 = -3*p. Solve l*h + 16 = n, 4*h - h + q = n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3\/2 + 20505*t**2\/2 - 1709316*t.\nAnswer: -3*t*(t - 6664)*(t - 171)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4683.94805 - 41388\nAnswer: -46071.94805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqxqttxqtvtxxqtqqz. Give prob of sequence xxqt.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v**2 - 6*v + 11. Suppose 4*z = 4*j + 114 + 50, 3*j - 3 = 0. Let h be 12\/z + (-74)\/14. What are the prime factors of p(h)?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 2. Which is smaller: -1\/60 or s?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5231 is divided by 187.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j\/(j*j*j**(-6)*j))**(-1\/51))**(2\/17))**(1\/4))**43 assuming j is positive.\nAnswer: j**(-215\/1734)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a**4\/11 + 36*a**3\/11 - 548*a\/11 + 510\/11 = 0 for a.\nAnswer: -17, -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 35*p - 44. Let j be r(2). Solve -11 = 5*y - j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -118.1 - -118. Let x be 70\/63*(-1)\/(-5). What is the nearest to a in 4, 1\/4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429796 is divided by 1546.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -241\/284 - -7\/71. Which is smaller: r or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96914 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 m when two letters picked without replacement from ttmmt.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 12) + -101 + 106 - 98.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1118224 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -7 - (1 - -2)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-4) + (-1367)\/4. Let t = -223 - z. Let o be (-444)\/(-24) + (-3)\/2. What is the greatest common factor of t and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 352357804 to the nearest integer?\nAnswer: 18771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 236, 401, 582, 785, 1016?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9918137*-0.048\nAnswer: -476070.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 687 + -699. Is 2\/23 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**3 + 1247*o + 571458?\nAnswer: -3*o**2 + 1247","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2077*b - 27 = -2078*b. Solve -5*t = 3*o - 2*o - 24, 5*t - 2*o - b = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -55, 3\/4, -181, -4\/7, -4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 6. Let h = v - -9.5. Let t = -2\/149 - 139\/745. What is the closest to -0.2 in t, h, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 61368 = 3*r - 65697, -254133 = -4*j - 5*r. What are the prime factors of j?\nAnswer: 3, 21179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1126, 1043, 816, 373, -358, -1449, -2972, -4999?\nAnswer: -7602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -0.3 (c) -3 (d) 1\/2475 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 - 4*l**5 + 5*l**5 - 3 + 3*l**5 + 3 + (-2*l**3 - 5*l**3 + 4*l**3)*(-2*l**2 + 2 - 2).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -781*q - 776*q + 1557*q + 3181*q**3.\nAnswer: 3181*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 90930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**4 + 444*o**3 + 33288*o**2 + 873956*o + 2334102 = 0.\nAnswer: -73, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 15?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -2800.6426023?\nAnswer: -2801.6426023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1218)\/(-2940) + 9\/(-42). Find x such that 0 - 1\/2*x**2 - l*x = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 7740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 937*y**3 - 7222*y**3 + 5138 + 2099 wrt y.\nAnswer: -18855*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*a + 6. Suppose -213 = q + 4*q + 4*u, -a*u - 129 = 3*q. Let f be 4\/(-18) + (-10)\/q. Solve -i - 2*j - 12 = 0, f*i + 4*i = -5*j - 33 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -65, 0 in ascending order.\nAnswer: -65, 0, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-21) + 145\/140.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42 (base 8) to base 11.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 2*m + 12 = -14*d, 0 = -8*d + 3*m - 40 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -31 + 2*a - 29 + 60. Let n(k) = -11*k. Calculate l(n(s)).\nAnswer: -22*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 160033763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1199 + 2632. Are 1434 and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 960939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (142\/(-8))\/((-55)\/2420) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 14521780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r**2 + 2*r + 11. Let h(l) be the second derivative of -3*l**4\/4 + 2*l**3\/3 + 21*l**2\/2 + 2*l. Let z(g) = -4*h(g) + 7*s(g). Calculate z(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 y when four letters picked without replacement from {o: 2, p: 3, f: 4, y: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -13. Let a(l) = l**2 + l + 1. Let z(j) = j**3 - 8*j**2 - 6*j + 4. Let y(x) = -2*a(x) - z(x). Is y(q) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 28. Suppose 0 = -5*g + 5, x*g - 8 = 4*k - 23. Solve -k*s = -2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -548 divided by 185?\nAnswer: -548\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/(sqrt(216)\/sqrt(4) + sqrt(6)) + -3)**2.\nAnswer: -3*sqrt(17)\/2 + 161\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.8 and -1.04?\nAnswer: 1.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2505 * -2455\nAnswer: -6149775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/7 - 3196*o + 22371\/7 = 0.\nAnswer: 1, 22371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -23, -27, -51, -101, -183, -303, -467?\n\"Answer: -z**3 - z**2 + 20*z - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-9)*423\/527810. Is x bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12 + -1 - (-10 - -14). Suppose 4*w + 3 = n. Solve -2*i + i - 5*r - 13 = 0, 0 = 4*i + 3*r + w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.6 + -11.4. Let x = z + 19. Let s = -0.013 + 0.313. What is the nearest to 2 in s, x, -0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3633 + -3631. Solve -4*g = 3*h + 9, 0 = -3*g + j*g for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - 0.6. Let z = v + 0. Let f be ((-52)\/(-7))\/(-2) - -4. What is the nearest to -1\/4 in f, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20669246.\nAnswer: 2, 13, 17, 101, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6*n + 29. Give q(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4967515547?\nAnswer: 31, 160242437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9325251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -120*h + 3376 + 1207 - 1223 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404677?\nAnswer: 7, 13, 4447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3343 (b) -7 (c) -2\/11 (d) 0.052\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.400803m in centimeters?\nAnswer: 240.0803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13109*n + 13102*n - 26212*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3755 = -14*w - 3069. Is w a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -32, -45, -56, -65, -72?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*l + 4*v = 77*l + 4373, 3*v + 2938 = 2*l. Is l a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 56*x + 91*x + 22*x + 133*x to the form k*x + v and give k.\nAnswer: 302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/27 - 26\/(-234).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 2\/5, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 9.909706ug?\nAnswer: 0.000000000009909706","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00289 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25310.\nAnswer: 2, 5, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201 - 23?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*u - 10 = 0, -3*u + 7*u + 20 = 4*k. Let z = 3 - 3.5. What is the biggest value in z, k, 2\/11?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55812*k + 3*n = -55810*k - 23, 3*k - 2*n = 22 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5363836*c*s - 81*s - 13976 wrt c?\nAnswer: 5363836*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -102010?\nAnswer: -101221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -326 less than 106516964043?\nAnswer: 106516964369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {h: 3, a: 4, j: 2, f: 7, g: 2}?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of o**7\/3780 + o**6\/324 + o**5\/180 + 7*o**4\/24 - o**2. Let h(i) be the second derivative of g(i). Factor h(a).\nAnswer: 2*(a + 3)*(3*a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 98365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - 28)*(-5 + 4). Suppose 0 = 3*o + 16 + 2. Let h be (4\/(-10))\/(o\/k). Solve -5 = h*y - 3*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2945*x + 3329*x = 6274 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 189 - 193. What are the prime factors of o + (-5 - (-237 - -2))?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 770664 is divided by 355.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 263*z**4\/4 - 371*z**3\/3 + 934. Find the third derivative of f(g) wrt g.\nAnswer: 1578","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 40 + 34 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.3 + -31.4. Sort h, -5, -1 in increasing order.\nAnswer: -5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15116109 is divided by 297.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27126820541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 71972, 143927, 215872, 287801, 359708?\n\"Answer: -r**3 + r**2 + 71959*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(4 + 1 - 4)*((-2*y + 0*y + 0*y)*(6 + 11 + 6) - y - 9*y - 5*y)*(2 - 1 - 6).\nAnswer: -305*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 0 - (-2 + 13). Suppose -n + 4*o + 46 = 0, 0 = n + 2*o - 0*o - 52. Let r = n + b. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.8422 + -0.0842. Let o = 0.242 + y. Let f = 0.3 - -0.2. Sort -2, f, o, -4\/5.\nAnswer: -2, -4\/5, f, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5936028.\nAnswer: 2, 3, 7, 70667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*l - 12*l + 660. Suppose 300 + l = -24*v. Which is smaller: -89\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, m: 1, j: 7, b: 6}. What is prob of picking 1 a, 2 j, and 1 m?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v*v**(1\/7))\/v*v*v\/(v*v**6*v*v)*v)\/(v**34)**(3\/8) assuming v is positive.\nAnswer: v**(-493\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j**2 - 7*j - 6. Let d be s(-3). Let w = -51 - d. What is the units digit of w*(-104)\/(-14)*14\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of -k**4\/24 + 17*k**3\/9 + 37*k**2\/12 - 35*k\/3 - 1277. Suppose f(y) = 0. What is y?\nAnswer: -2, 1, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15406305?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.013, 0, 3\/4, 1.9, -0.3, -2\/5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10494\/(-3339)*(-7)\/(-1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11311505.6 + -11311628.83800832. Let j = -0.23793632 - c. Let s = j - 123. Round s to 5 decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 12:21 AM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**2 - 92302720*t - 425989605969920 = 0.\nAnswer: -9230272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 1 + 0 - 3*q**2 + 0 - 6 as v*q**2 + c + h*q and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2078822279\/238 + 8734516. Let m = 13\/119 - t. Calculate the common denominator of 1\/25 and m.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -169. Let y = 125.6 + z. Let q = -17 + y. What is the biggest value in q, 0.1, -5\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 + 25 - 2*g**2)*(-228*g - 13*g**2 + 228*g) - 2*g**4 - 1 + 1 + (0*g**4 - 4*g**4 + 3*g**4)*(0 + 3 - 1) - 2*g**4 + 0*g + 0*g.\nAnswer: 20*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1555 - -1555. Solve 5*f - 5*v - 30 = 0, w = -5*f + 5*v - v + 27 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/9 + (-24)\/9. Calculate the remainder when 44 is divided by (j - 0)*(-8 + 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/1609528 and -79\/28.\nAnswer: 11266696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -102 + 105. Suppose -9*v = 6 + i. Let s = -6.7 + 7. What is the closest to -2\/7 in 1, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.8 + -58.8. What is the nearest to -1 in 0.5, -4, -3, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/6 (b) -0.5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 8 + (-9)\/3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 1487*m + 524352 = -1483*m, -5*m + 524359 = 4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-69)\/810*29\/(-2). Let n = h - -2\/135. Which is smaller: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) - (sqrt(75) + sqrt(75)*1 + 0)**2 - (-1 + (-1 + sqrt(75) - sqrt(75)))) + 3.\nAnswer: -295 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 - 63*k**2 - 98*k - 230. What is l(-30)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 62 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33158913 is divided by 1932.\nAnswer: 1929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 63.3 + -63. Which is the third biggest value? (a) l (b) 2\/7 (c) -2\/17 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2211785?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = t - 5*z, 1 = t - 0*z - 2*z. Let m(w) = -14*w + 3. Is m(t) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + sqrt(176) + 0 + sqrt(176).\nAnswer: 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/189 - 1600\/(-42). Suppose -5*c - 77 = s. Find the common denominator of -27\/7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40981723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/10 + ((-60)\/(-25) - 2). Let w be l\/4 - (5 - 45\/10). Suppose 3*v + w + 3 = 0, -4*t = 2*v - 90. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -224 and -43996 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**32)\/g)**(-2\/33) assuming g is positive.\nAnswer: g**(62\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.6018362s?\nAnswer: 601.8362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2)*p)\/p**(-3\/7))**20 assuming p is positive.\nAnswer: p**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.32 - -1.3259. Round n to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/((3\/2)\/((-93)\/(-124)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 75*o - 2482. What is the tens digit of a(45)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*s - 7*s + 7123676. Suppose -4*o - 45600006 = -3*p, -p = 3*o + 27076322 + s. What is o rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.011 * -16553.\nAnswer: -182.083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -3*q**5\/5 + 9*q**4\/4 + 24*q**3 + 42*q**2 + 29. Factor i(r).\nAnswer: -3*r*(r - 7)*(r + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 66161597?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.125 + 5.825. Let d = 6 - u. Let g = 2\/127 - -119\/508. Which is the nearest to g? (a) -0.3 (b) d (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -201430.5239 and -2386.\nAnswer: -203816.5239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -441570*p**3 + 1250696 wrt p?\nAnswer: -1324710*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/12)\/((-75)\/20)*9. Which is the closest to 2\/9? (a) 2 (b) h (c) 0.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4173 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*b - 114 + 179 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**7\/70 - n**6\/20 + n**4\/4 - n**3\/2 + n**2\/2 - 3*n. Let h(m) be the first derivative of t(m). Factor h(p).\nAnswer: 3*(p - 1)**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -146*c**4 + 155*c**4 - 7*c + c**3 - 2*c**2 + 15*c to the form h*c + a*c**2 + b*c**3 + r + q*c**4 and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/17 (b) 24 (c) 6651 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -512, -1024, -1536, -2048?\nAnswer: -2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 0. Let h = -1\/27 - -61\/189. Let t = 4 - 7\/2. Which is the nearest to t? (a) j (b) h (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31988 = 4*u - 37556. Let q = u - 312841\/18. Calculate the common denominator of -75\/16 and q.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -191313 * 0.27\nAnswer: -51654.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ch when two letters picked without replacement from ccccchhcc.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 530751 = 41*w - 1460660. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/4)\/(((x\/x**(2\/37))\/x)\/x*x) assuming x is positive.\nAnswer: x**(-29\/148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384 and 11176096?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 - 5624*p - 1976836.\nAnswer: -4*(p + 703)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4599221?\nAnswer: 11, 293, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - j + 2. Let m be p(-4). Let h(t) = -t**3 - 11*t**2 - 12*t - 14. Let n be h(m). Suppose -9*l = -n*l - 54. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*j - 758214 = -37*j - 26*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*-49386.\nAnswer: -1481580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84, -119, -112, -57, 52, 221, 456, 763?\n\"Answer: u**3 + 15*u**2 - 87*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -4*l + 0*l - l**2 + l**3 - 6 + 3*l**2. What is j(-4)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 33 and 1191?\nAnswer: 13101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 10816 = -35*v + 6*v. Calculate the remainder when v is divided by 190.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b + 2)*(1 - 1 + 2*b**2) + (-1 + 3 - 4)*(-4*b - 2*b**3 + 4*b).\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -85*f - 53. Let n(y) = -256*y - 158. Let i(c) = 7*k(c) - 2*n(c). Let w(x) = -167*x - 110. Let b(o) = 5*i(o) - 2*w(o). Is b(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 734307.12ms to days.\nAnswer: 0.008498925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-205 - -7261)\/(-42)*(-6)\/14\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**3 - 1338 - 1389 + 2727 + 17*n**3.\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(140) + -1*sqrt(140) - sqrt(140))\/sqrt(10))\/((sqrt(200) + sqrt(200)*2 - sqrt(200)) + sqrt(200)) + 4))**2*-2 + -4.\nAnswer: -14607\/50 + 24*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 4792*m - 8767. Is d(23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 312*x**5 - 70267*x**3 + 70267*x**3 + x**2 + 2*x**5 - x**2 + (-2*x**2 - x**3 + 2*x**2)*(2*x**2 + 0*x**2 + x**2).\nAnswer: 311*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -0.5, 5, -2.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(5382\/(-8424) - (-4)\/(-21)*(-560)\/120)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooo. What is prob of sequence oooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (93\/(-70))\/3*(1 + -5) and 41\/(-164) - (-139)\/140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1317 minus -1917898.2554?\nAnswer: 1917898.1237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/45)\/(12\/10 - 1). Let p(o) = -5*o. Determine p(a).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j\/j**(2\/5))\/j*j)**(-22))**2 assuming j is positive.\nAnswer: j**(-352\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3752618?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 523 = 25*b - 28*b, -3*b - 4*a = 515. Sort 2, b, -1.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of -m**4\/2 + 14*m**3\/3 + 10*m**2 - 32*m + 1406. Factor x(t).\nAnswer: -2*(t - 8)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 31. Give n(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 784.692934 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10028, 20378, 30740, 41120, 51524, 61958, 72428?\n\"Answer: d**3 + 10343*d - 316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 67202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = 4*p - 5*p. Suppose m + 51 - p = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 2:21 PM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*b = -24, 0*b + 16 = 3*z + b. Suppose -9*h = z*h - 3936. Do h and 247 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - c = 0, -7*c = 2*u - 12*c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + (-12)\/(-3) - 3. Let y be (7 + -6)*(-5 + m). Does 11 divide -2*(-1 - (-75)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**4 + 436*k**3 - 3744*k**2 - 27904*k + 231424.\nAnswer: 2*(k - 8)**2*(k + 8)*(k + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millimeter in micrometers?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -382\/165 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46*w**2 + 170*w**2 + 43*w**2 to x*w + n + t*w**2 and give t.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 142.04915 to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/112 + 2\/(-8). Let f = -9162 + 9163. Put j, -5, f in descending order.\nAnswer: f, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9251741 = -120*l + 92557061. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of -4*t**2 + t - 5. Determine k(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(-1\/10)\/p))\/p)**(-19) assuming p is positive.\nAnswer: p**(-209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*j = -0 + 20, j = -5. Calculate the remainder when y is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -210765320?\nAnswer: -1\/210765320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**3\/3 - j. Suppose x + 4 = a, 3*x - 6 = -4*a - 4. Let k(r) = -6*r**2 + r**a - 3*r**2 + 6*r**2. Calculate m(k(i)).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 102351, 102114, 101881, 101652, 101427, 101206, 100989?\nAnswer: 100776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 80*s**2 + 2*s - 8. Let j be 0 - -6 - (-5*(-33)\/55 + -5). Let i(n) = -27*n**2 - n + 3. Determine j*i(a) + 3*t(a).\nAnswer: 24*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 13*j**2 - 35. Let k(h) = -7625*h. What is o(k(f))?\nAnswer: 755828125*f**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 - -6.3. Let z(x) = 10*x - 10. Let j be z(2). Suppose -5*r = -j*r. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/4 - 4885945*u\/4 - 7328895\/2.\nAnswer: -5*(u + 3)*(u + 977186)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 13872*m + 513331. What is j(-37)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -57.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17 - 17.007. Let b = -0.006918 - s. Round b to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*w = -9*w + 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4179532l in millilitres?\nAnswer: 417.9532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 8*l**2 - l - 5. Let r be v(-8). Let k(t) = -11*t**2 + 5*t + 2*t**r + 5*t**2 - 3*t**3 - 1. What is the units digit of k(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3045 and 16095.\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -357, -769, -1341?\nAnswer: -2073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*q - 12*q**2 - 20*q)*((-5 + 1 + 2)*(4*q - 5*q - q) - 2*q + 2*q - q) in the form p*q + c*q**2 + x + d*q**3 and give d.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -175b26 (base 13) in base 15?\nAnswer: -b80eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 12*i**2 - 3*i + 40. Let w be a(12). Solve 5*f = -w*n - 17, f + 11 = -f - 3*n for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -155*a**3 - 17170*a**2 - 482075*a - 363000.\nAnswer: -5*(a + 55)**2*(31*a + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((-2)\/4*2). Let f be x - 34\/8 - -3. Which is the biggest value? (a) 1 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by (210\/63)\/((-3)\/(-9))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 4*p + 9. Let l be g(5). Let i(k) = l - 3*k + 4*k - 17*k. Let q(s) = -s. Let v(x) = i(x) + 4*q(x). Differentiate v(o) with respect to o.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*s = 20, 0*s + 32 = 5*b - 4*s. What is the remainder when 23 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 PM and 7:25 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 + -21 + 7 + (-4 - 0). Which is the closest to 13? (a) 0.149 (b) m (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6389 - -0.2389. Which is the closest to 4\/11? (a) 5 (b) o (c) 4 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k = -5*u + 61, -4*u - 2*k - 43 + 45 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 + 8*w. Calculate the smallest common multiple of g(4) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13358 divided by -14.\nAnswer: 6679\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31 - 27. Solve -t + 2*d + 4 = 0, c*t + 32 = -2*d + 8 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1784*p + 36609 = 4497 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 + 7*a + 8. Let b be d(8). Suppose 5*l = -0*l - 20, b = -p - 2*l + 4. Suppose 5*q - q = p. Does 2 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1757379136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 371216 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 - 0.44. Let y = -0.3 + -2.7. Let o = y + 4. Which is the third biggest value? (a) o (b) 1\/7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + f = 37610, -7*f - 35749 = -3*u + 20666. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -116, 0 in ascending order.\nAnswer: -116, -7, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - i + 9 = 0. Suppose 0*j + i*j = 201. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-23))\/(v**(3\/20)\/v))**(-1) assuming v is positive.\nAnswer: v**(423\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**10\/(g\/(g\/(g**(1\/6)\/g))))\/((g**(-10)\/g)\/g**11) assuming g is positive.\nAnswer: g**(197\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9870665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -41?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 - 13. Let h(g) be the third derivative of t*g**2 + 0*g + 0*g**3 + 1\/60*g**5 + 0*g**4 + 0. Let v(n) = n. Give v(h(w)).\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 2*w**5 + w**3 + (-2*w**4 + 0*w**4 + w**4)*(2 - 2 + w))*(2 - 3 + 0).\nAnswer: 3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 + 2.94. Let f = 3 - 9. Let v = f + 6.1. Which is smaller: r or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29414040 and 620.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of -11*i**5\/20 - 5*i**3\/6 - 10*i. What is the second derivative of s(x) wrt x?\nAnswer: -66*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -332*j. Let o(r) = 19*r**2. Determine d(o(q)).\nAnswer: -6308*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/72*6*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0 - -1)*4. Let o be (-3)\/(-6) + 10\/i. Calculate the remainder when 8 is divided by (-11)\/(-2) - o\/(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -213 smaller than -27250?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*639\/852.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 6*k + 10. Let i be a(7). Let l be 308\/33*i\/2. Let w = l - 14. Solve -2*c + 0 - 2 = w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3194125919 a multiple of 8607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2249 + 741 + 711 + 3*m + 732.\nAnswer: 3*m - 65","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**28*i)\/((i\/i**(-17\/4))\/i) assuming i is positive.\nAnswer: i**(99\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -4 - (1 + -34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Suppose 2 = k, -50 = r*f - 8*f - 3*k. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 4:15 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00174642477 - 1.\nAnswer: -1.00174642477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-512)\/(-24))\/4 + -5)*566. Which is bigger: 190 or j?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 9, p: 7}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 52\/16 + (-850)\/8. Let n = -102 - a. Calculate the remainder when 29 is divided by n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 1 + 10*u**2 - 9 + 2.\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1120 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: Simplify ((o\/(o\/((o\/(((o\/(o\/(o\/o**(1\/3)*o*o)*o))\/o)\/o*o*o))\/o*o)))**(3\/7)\/(((o\/(o*o**(4\/7)))\/o)\/o**3))**(-2\/55) assuming o is positive.\nAnswer: o**(-12\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -16*r + 3. Let z(k) = -k + 1. What is -u(y) + 3*z(y)?\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1636 - -13183\/8. Find the common denominator of k and (-1)\/(-15)*(-635)\/10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110000 - -101010101101001?\nAnswer: 101010110011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 217256, -3, 27 in decreasing order.\nAnswer: 217256, 27, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -5, 11?\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a kilometer in meters?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 481?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(1\/16*-4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 858560957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 723911290.\nAnswer: 2, 5, 37, 1956517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (1240\/(-2))\/(172\/(-387)*(-45)\/(-410))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tk when two letters picked without replacement from {t: 7, k: 4}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p + 0*p + p**2 + (-1 + 1 - 2)*(3 - 3 + 2*p**2) - 2*p**2 + p**2 - p**2 + (-3*p + 3*p - 2*p)*(3*p + 0*p - 4*p).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 4.4. Let v = n + 4.6. Let l = -0.7 - -1.7. Which is the third smallest value? (a) l (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/2*(-108)\/90. Suppose p*f + 31 = 37, 4*t - 2*f - 12 = 0. Factor -60\/7*d - t*d**3 - 16\/7 - 72\/7*d**2.\nAnswer: -4*(d + 1)**2*(7*d + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7803995 by -5.\nAnswer: 1560799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lliiiiilii. Give prob of sequence llli.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -4210203\nAnswer: 842040.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let b be (2*(-8)\/20)\/((-6956)\/470). Sort -2, 2\/13, b in increasing order.\nAnswer: -2, b, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 6:46 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 14*d**2 + 7*d + 41. Give x(12).\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 32\/(-84)*-6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 11 = -4. Let s(o) = 2 - o**2 + 1 - 16 + 6 + 2 + 6*o. Give s(b).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40.1 - 5.\nAnswer: 35.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3.1 - 27.754\nAnswer: -24.654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**2 + 2669744*f + 890941628192 = 0.\nAnswer: -667436","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1236307396 + -330.\nAnswer: 1236307066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 2*v - 23, -3*v + 5 + 27 = 5*y. Let a(p) = -23 + v - 5*p**2 + p**3 + 0*p**2. Let b(w) = -3*w**3 + 14*w**2 + 11. Determine -8*a(g) - 3*b(g).\nAnswer: g**3 - 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 35*n**2 - 68*n - 57. Suppose 2*q = 62 - 14. What is the remainder when q is divided by t(-33)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -3)*11\/(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.5 + -3.618. Let u = 0.218 + x. Put 2\/5, 4, 1\/4, u in descending order.\nAnswer: 4, 2\/5, 1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Let l = -81 - -78. Sort l, 3, h.\nAnswer: l, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = 8*n - 7*n. Does 15 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*l**2 + 1281 - 1281.\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 2*o**3 - 4800*o - 2*o**2 + 4801*o + 4*o**4 in the form i + w*o**3 + x*o**2 + h*o**4 + y*o and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 936 - 936 + h + 5*h**2 + (4 - 4 - h)*(-3*h - h + 2*h).\nAnswer: 7*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21.9 - -22. Let s = -43 - -35. Let f = s + 7.8. Which is the smallest value? (a) 1 (b) f (c) y (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 36. Let o be a(32). Solve 9 = -3*j, -o*p = 3*j - 0*j + 25 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2. Let w(s) = 1184924*s. Calculate o(w(r)).\nAnswer: 1404044885776*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2, 15, 36, 59, 78, 87, 80?\n\"Answer: -v**3 + 10*v**2 - 10*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -5 + (9 - -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*n + 4972 = -7926, -8580 = -2*r - 2*n. Let k = r + -659. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 5*x**2 - 8*x - 26. Let g(r) = -6*r**2 + 9*r + 27. Let t(l) = 2*g(l) + 3*u(l). What is k in t(k) = 0?\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/4 - 9\/3. Let f be 5\/1 + 8\/l. Let w = 4 - 9. Which is the third biggest value? (a) f (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = 2*n. Let s(t) be the third derivative of 0*t**4 - 1\/3*t**3 - t**2 + 0 + 1\/15*t**5 + 0*t + 0*t**6 - 1\/105*t**n. Factor s(x).\nAnswer: -2*(x - 1)**2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**7\/42 + v**6\/12 - 5*v**5\/4 - 20*v**4\/3 - 40*v**3\/3 - 5309*v**2. Suppose p(a) = 0. Calculate a.\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 315905\/9 - 35036. Let f = 65 - m. Which is the third biggest value? (a) -4 (b) -1\/13 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.9 - -2.2. Let p be 537\/(-9) + -3 + 3\/(-9). Let c be (2 + 129\/p)\/((-1)\/9). Put c, -3\/5, l, -0.2 in increasing order.\nAnswer: -3\/5, -0.2, l, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fnhgg. Give prob of picking 1 h and 1 f.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5)*o)\/(o\/(o**(-3\/5)*o)))**(-1\/3) assuming o is positive.\nAnswer: o**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2*q = 3*s - 3, -2*q + 6 = 2*s. Solve x = q*t + 17, t - 6 = -0*t - 2*x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -d**4 + 20*d**3\/3 - 16*d**2 + 16*d - 204. Find p, given that q(p) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - i + 1873 - 1871, 5*h + 2*i + 23 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Suppose -r*v + 5*v - 64 = 0. Suppose 0 = 4*o + 3*u - v, 4*o - 3*u = 6*o - 26. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6937 - 6897. Suppose 2*b - 2*y = 4*b - 58, 2*b + y = 59. What is the highest common factor of l and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*a + 2*q - 75 = -0*q - 23, -5*q = -7*a - 46 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 - 44. Let j be 40\/(-30)*(-4)\/((-8)\/y). Let z be ((-10)\/(-3))\/(j\/(-294)). What is the highest common factor of z and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 - (-214 + 50 - -194).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6973 + -8.802\nAnswer: -6981.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*o - 208, 2*a = 3 - 5. Is o a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(2\/9))**49*r*r**(-4\/9)*r**(-1\/14))\/(((r\/(r\/(r**3\/r*r*r)))\/((r*r**(-3\/5)*r)\/r))\/((r**(-2\/5)*r)\/(r**(2\/11)*r))) assuming r is positive.\nAnswer: r**(77881\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/9? (a) -3 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 24. Let m = -23 - -22.9. Let y = 6.9 - m. Which is the nearest to h? (a) 3 (b) y (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-90)*5 + (-4070)\/(-12). Let u = b - 338. Factor 5\/3*c**2 + 8\/3*c - u.\nAnswer: (c + 2)*(5*c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27531 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -24*a**2. Suppose -4*j = -h - 33, -j + 0 = 5*h - 3. Let b(t) = j*t + 2*t - t - 7*t. Calculate d(b(u)).\nAnswer: -96*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -2\/3, -1.95?\nAnswer: -1.95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -627\/136 or -6?\nAnswer: -627\/136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 189a9a2 (base 11) in base 10?\nAnswer: 3206249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 5. Suppose n = -5*v + 3*n + 22, v + 4*n = l. Suppose -9 = -3*y + 12. What is the remainder when y is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-483)\/14)\/(-33*(-24)\/528)\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -10. Let h = 13 + -6. Suppose -33 = x*p - h*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -724, -37, 4.\nAnswer: -724, -37, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-75)\/375)\/((-3)\/(-225))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 115781.\nAnswer: 23156.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -7*b + 98. Calculate j(16).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (9 - 6)) + 0\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -828590 divided by -5\nAnswer: 165718","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 4, o: 6}. What is prob of sequence yyo?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1987245329.\nAnswer: 29, 1609, 42589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4342 (base 15) in base 14?\nAnswer: 528d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 30*w**3 + 5*w**5 - 17*w**4 + 38*w**2 - 35*w + 2*w**2 - 23*w**4 = 0.\nAnswer: -1, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -4*g**2 + 6*g - 3. Let q(o) = -3*o**2 + 5*o - 3. Let n = -21 + 15. What is n*q(y) + 5*c(y)?\nAnswer: -2*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9654698 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**2 - 310*u + 355. Let g be q(27). Solve 44 - 36 = g*t + 4*m, 2*m - 4 = 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-17 - 0\/(-4)) + 1. Let x = -6 - w. What is the smallest common multiple of 9 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-6)*985\/100. Let b = 37\/6 + s. Let g = 14\/31 - 188\/279. What is the smallest value in b, -1\/3, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c914 - ac?\nAnswer: -c9c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110 - 0?\nAnswer: 100000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.12219404 to 1 dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2810 greater than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 + 6. Let q(g) = g**2 + 1. Give -m(j) + 6*q(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/10 - (-24)\/40. Suppose 0 = k*n + 3*n - 12. Solve 10 = -4*c - 4*i - 10, 2*i + n = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410547639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 8*j**2 + j. Let f(z) = 2*z**2. Calculate w(f(k)).\nAnswer: 32*k**4 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by -49\nAnswer: 20\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*b + 10, r - 4*b - 5 - 7 = 0. Solve r = -0*o + 2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52418096?\nAnswer: 2, 3276131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 339*f - 3619 = -7586 - 34001 for f.\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 31. Suppose -r = -4*o - 8. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35029016 + 35029016 + 165*y to q*y + u and give q.\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2248*d + 1009. Calculate v(1).\nAnswer: 3257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x + 15 = -8*x. Suppose 0 = -6*q + 7*q - 7. Calculate the smallest common multiple of q and x.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + d**2 + 244716*d**3 - 246326*d**3.\nAnswer: -1610*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344 - 2*t + 173 + 204 - 8.\nAnswer: -2*t + 713","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -921.\nAnswer: 2763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 68674639049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -144*b**4\/5 + 1228*b**3\/5 + 56*b**2.\nAnswer: -4*b**2*(4*b - 35)*(9*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2604 and 9532500.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 257040940 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of 0*b**4 - 13*b - 21\/20*b**5 + 0 - 31\/2*b**2 + 0*b**3. Find the first derivative of x(m) wrt m.\nAnswer: -63*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 11*b + 1 - 7 = -7, -2*a = b + 11 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 + 81*f**2 + 75*f**2 - 158*f**2 - 120.\nAnswer: -7*f**3 - 2*f**2 - 120","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6)*(-24 + 4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 - 46. Suppose -s*i + 4*z = -0 - 2, -4*i - z = -9. Factor -21*l**3 - 4*l + i*l + 10*l**2 - 3*l + 16*l**3.\nAnswer: -5*l*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1072006 and 3250.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 0 - 8 + 18 + 70*j to the form v*j + z and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*((-8)\/4 + 1) - -3. Suppose -3*f = -a*f + 5, u - 4*f = 1198. List the prime factors of u.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d - d)*(1 + 3 - 5) + 3*d - d + 0*d + 0 + 3 - 44*d + 32*d.\nAnswer: -11*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of m**2\/2 - 2*m + 1. Let o(x) = 0 - 1 + 3. Determine -2*j(k) - 3*o(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 - 16*c + 66. Let q be m(11). Suppose w = -k + q, -k + 3*k - 20 = -3*w. Let a = -12 + 20. What is the remainder when k is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 1, 2\/7, 93, -29.149?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 7) to base 11\nAnswer: -13a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*x = -21, -l - l + 4*x = -18. What is the second biggest value in 0.5, l, -3\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j. Let f(m) = -45*m**2. Calculate f(q(w)).\nAnswer: -45*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-16) - (-119497)\/3176) + 3?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 152903\/(-90027) - (-1)\/7?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: 453354 * 26\nAnswer: 11787204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -76*y**2 - 68*y + 44031 wrt y.\nAnswer: -152*y - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -a**3*s - 56*a**3 + a**2 - 433*a*s**4 wrt s?\nAnswer: -a**3 - 1732*a*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/1322 and 37\/22.\nAnswer: 14542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -660639 divided by 1141\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-297)\/(-55))\/((26\/(-2080)*12)\/((-1)\/(-1)))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 193375 = -u, 9*u = 14*u - f - 966963. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 260572, 5, 1.\nAnswer: 1, 5, 260572","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/3 - 596*k\/3 + 14608 = 0 for k.\nAnswer: 132, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/168193?\nAnswer: 3\/168193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n - 4. Let d be o(4). Let t = d + 14. Suppose 0 = -t*j - j + 75. Calculate the greatest common divisor of 275 and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1036 and 4593143.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 24\/7 - -2.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -665.8 - -665.800005677. What is j rounded to seven dps?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 267*p - 269*p + 2*v + 2194, 4*v - 5440 = -5*p. Calculate the highest common factor of 1260 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16053695 and 19040?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a kilogram in grams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o - 17. Let s be m(-12). Suppose -k + s = 4. Suppose -16 = -r - k*r. Let w(f) = -3*f + 4. Give w(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57411.\nAnswer: 3, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/2 and 97\/482?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nxx when three letters picked without replacement from {n: 1, v: 1, q: 1, r: 3, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 16) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -33. Let k = 30.66 + q. Let x = -0.16 + k. Which is the third smallest value? (a) 11 (b) x (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011563601 to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 779, 3282, 7515, 13484, 21195, 30654?\n\"Answer: b**3 + 859*b**2 - 81*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -57 (b) 11 (c) 155 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35325844?\nAnswer: 2, 167, 52883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1751007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*j - 89*j - 5 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/15 - 643594*u**2\/15 + 643604*u\/3.\nAnswer: -2*u*(u - 5)*(u + 321802)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**3 + 75256*t**2 - 3317072*t + 36509088 = 0.\nAnswer: -18858, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7228758 to the power of 1\/2, to the nearest integer?\nAnswer: 2689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -578*f - 13719822 + 30236326 + 17064718. List the prime factors of f.\nAnswer: 58099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + (-2 - -6) + -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes after 2:14 PM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 5. Let j(p) = 130*p**2 - p. Let v be j(-1). Suppose n - v = -3*i. Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*b - 448, -p + 0*p - b - 112 = 0. Let d = p + 131. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 3*j**2 + j - 4. Let b be r(3). What are the prime factors of 14 + 0 + b + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 2) to base 7.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 5*y - 30, 2*y - t - 10 = -1. Let q(v) = v**3 + 7*v**2 + 6*v + 3. Let r be q(-6). Let j(z) = -r + 3 - y*z**2. Let s(u) = u. Give j(s(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/4 of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1778 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170638, -341327, -512002, -682657, -853286, -1023883, -1194442?\nAnswer: -1364957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -3*i**7\/7 - 14*i**3\/3 + 22. Find the third derivative of y(h) wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 814*s - 6264 = 756*s. What is the highest common divisor of s and 1314?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 139*m + 2. Let q(r) = 320858*r. Calculate l(q(n)).\nAnswer: 44599262*n + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 divided by 3146?\nAnswer: 31\/3146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 630 is divided by 98.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/52)\/((-141)\/(-705))\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 6:04 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43874.\nAnswer: 2, 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 215892896 to the nearest integer?\nAnswer: 14693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -26*l + 32. Is 4 a factor of y(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (sqrt(70) + (sqrt(70) + (sqrt(70) - 1*sqrt(70)))*2))\/((sqrt(1440) - sqrt(1440)*3 - sqrt(1440)) + sqrt(1440))*1.\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37 - 9*b**4 + 37 + (-6*b + 2*b + b)*(3*b**2 + b**3 - 3*b**2).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + (sqrt(91) - (sqrt(91) + sqrt(91) + 5*(sqrt(91)*2 - sqrt(91)))))\/(sqrt(175)*-2) + -2.\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 8 = 4*l. Suppose -5*z - 3*d = -2*d - 58, -l*d = 2*z - 20. Calculate the remainder when 35 is divided by z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1374 - -1377. Solve 3*z = y - 4 + n, y - 4*z - 2 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 348*k - 5936. Determine s(18).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 86. Let h = -9 + f. Which is the third biggest value? (a) 1\/3 (b) -1\/3 (c) 1\/4 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the third derivative of -v**6\/120 - v**5\/15 + 5*v**4\/24 + 5*v**3\/6 - 9*v**2. What is g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 261848659*q**4 - 166859*q**2 + 663*q wrt q?\nAnswer: 6284367816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16\/(-3))\/(1\/(-18)). Let z = -178\/5 + 544\/15. What is the smallest value in t, 0.2, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*b**4 - 8 + 2*b**3 - 5*b**4 + 14*b**4 to v*b + j*b**2 + d + h*b**4 + t*b**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 1*14 + (2 - 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -19*j + 12. Let k be p(4). Let o = 64 + k. Suppose -2*r + o*r + 2 = 0. Solve 2*q - r = -9, 28 = 5*z - 2*q for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of 2*q**3\/3 + 2*q. Let f = 6 - 4. Let l(s) = f*s - 1 + 1. Determine n(l(i)).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**2 - 3*s - 2. Let r(i) = -i**2 - 2*i - 1. Give 2*h(x) - 5*r(x).\nAnswer: -x**2 + 4*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 + (1 - 3) - -108 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.5, 5969?\nAnswer: 5969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.7 + 14.3. Let y = 60.4932 + -0.7832. Let g = x - y. What is g rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9329?\nAnswer: 19, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of -17*n**6\/120 + n**5\/60 + n**4\/8 - 9*n**2. Let s be p(-2). Suppose s = u - 5. What are the prime factors of u?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 take away 23511182.7?\nAnswer: -23511164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298287317.\nAnswer: 298287317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 15) in base 11?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nkkkkkknkk. What is prob of picking 2 n?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1176) - 3*sqrt(1176)) + sqrt(1176))\/sqrt(12).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*4 + 8\/(-3 + 7). Let h(x) = -4*x**2 - 13*x + 6. Let q be h(c). Let n = q + 179. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**3 + 6*l**3 + 5*l - 6*l**3 - 3*l.\nAnswer: -4*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -2*r. Let d(q) be the first derivative of q**2\/2 + 14. What is n(d(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -17*v + 10977. Let u be d(0). Let i = u + -6766. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*g**3*j**2*x**3 + 5*g**3*j*x**3 - 3*g**2*j*x**2 + g*j**2*x**3 + 18*j**2*x**2 wrt g.\nAnswer: -78*j**2*x**3 + 30*j*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - z = -156, -6*z = -z + 5. Let i = 58 + n. Let a = i - -140. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -138.762 to 0 dps.\nAnswer: -139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104648601 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14*3\/6 + 2. Suppose x*m - 48 = 13*m. Let r be ((-2)\/(-7))\/(m\/(-252)). Solve r = 5*h - 14 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/360 + z**3\/2 + 4*z**2. Let x(d) be the first derivative of k(d). Let h(r) = -r. What is x(h(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -869, -752, -635, -518, -401, -284?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -0.094, 1.3, 8\/5 in descending order.\nAnswer: 8\/5, 1.3, 0.5, -0.094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5*k = 6. Let w(v) = -3*v. Let a(h) = -3*h. Determine k*a(x) + 4*w(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3076628?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 45360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65286 = -3687*y + 1269*y for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.2 - -7.8. Let j = -14 + b. What is the third smallest value in 2, -5, j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3*y**2 + 3)*(-5*y + y + y)*(-3*y + 3*y + 2*y)*(3*y + 0*y - 2*y).\nAnswer: 18*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 9*f - 9. Let v be l(6). Suppose 12*t - v = 3*t. Solve 0 = -h - 0*h + 4*s - 6, 20 = t*h + 5*s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r. Suppose g = 3 + 1. Suppose 9*n = g*n - 65. Let y(f) = -4*f**2 + 6*f. Let k(s) = -9*s**2 + 13*s. Let i(h) = n*y(h) + 6*k(h). What is i(q(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s - 2*r, -2*r - 12 = -2*s + 2*r. Suppose -3*t**s + 0*t**2 + 0*t**3 - 6*t**3 + 3*t = 0. What is t?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:52 PM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q\/((q*(q*q**(-2\/9)*q)\/q)\/q))))**(1\/19)*(q**(-1\/3))**(8\/5) assuming q is positive.\nAnswer: q**(-446\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.03 - 0.03. Let h = 93.2 - 93. Sort t, h, -0.5 in descending order.\nAnswer: t, h, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 + 19 - 2*c - 2*c - 6*c - 367*c**2 - 2*c wrt c?\nAnswer: -734","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 11) to base 7\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (7 - -22)) + 26.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33 - 35. Let c be ((-725)\/t)\/((-1)\/160). Round c to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/123760 and 37\/12376?\nAnswer: 123760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(72) + (1 + sqrt(72) - sqrt(72)) + sqrt(72) + sqrt(2) + (sqrt(18)\/(sqrt(36)\/sqrt(4)))**2.\nAnswer: 3 + 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10564 (base 7) to base 9.\nAnswer: -3621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**4 + 87*k**3 - 792*k**2 + 2160*k = 0.\nAnswer: 0, 5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-22))\/(512\/176 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/92 and 51\/3432724.\nAnswer: 78952652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**3 - 15*n**2 + 7*n. Let r(g) = g**2 + 5*g - 112. Let c be r(-13). Give w(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 x when three letters picked without replacement from ixgxxxxyxixiiiii?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a**2 + a - 2. Let r be y(-2). What is the units digit of ((-14)\/r)\/((-1)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32.236 + 0.236. Let t = -37 - g. Which is the fourth biggest value? (a) 1\/8 (b) -15\/8 (c) t (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 84 - 35. What is the remainder when 97 is divided by l?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9897, -9930, -9965, -9996, -10017, -10022, -10005, -9960?\n\"Answer: k**3 - 7*k**2 - 19*k - 9872","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 854178\/7 + -122376. Suppose 5*i + 1750 = -r, -3*i - 649 = -r + 401. Let h = i - s. Which is bigger: -0.4 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 115291, -3.\nAnswer: -3, 0, 115291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2324 (base 6) to base 2\nAnswer: -1000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 2917?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5862240 a multiple of 736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -8, -4*b - 1 + 3 = 3*n. Let a be n\/4*(3 + -5). Let j(z) = 44*z + 2. What is the units digit of j(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyuyyyuyyuhuyuuuu. Give prob of sequence uyy.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 7. Let l(y) = 415*y - 4973. Let r be l(12). Let b(j) be the second derivative of j**3\/6 - 7*j**2\/2 + 3*j. What is r*a(k) + 6*b(k)?\nAnswer: -k + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 - 6*k**5 + 0*k**4)*(-1 + 3 + 7).\nAnswer: -54*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -8*r - 111. Let n(c) = -2*c. Let z(j) = m(j) - 2*n(j). What is the remainder when 194 is divided by z(-36)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10863 to the power of 1\/2, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -236300?\nAnswer: 236305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16\/(-6) - -1 - 16\/(-24). Which is the nearest to -1\/5? (a) -2 (b) v (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide (1 - -67) + 4 + -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 48\/(-4) - -3. Let j = n - -6. Suppose -7*a - 9 = -10*a. Sort j, 5, 2, a in ascending order.\nAnswer: j, 2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 3 = 3*f. Let j(v) = 2*v + 1. Determine j(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 557 + -558. Let i be 41 + -5*s\/(-1). What is the greatest common factor of i and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 0. Let w be (2 + -3)\/(y\/447). Let c = 270 + w. What is the highest common factor of 11 and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*j - 182 + 47*j - 117 + 40*j + 2792 as b*j + z and give z.\nAnswer: 2493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-12.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 10*j**2 - 19*j + 30.\nAnswer: -(j - 1)*(j + 5)*(j + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5340 by -10.\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 310d (base 16) to base 8\nAnswer: 30415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 - -0.2. Let l = 103 - 106. Which is the smallest value? (a) 3\/4 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4697*a - 8688*a + 2629*a + 822*a to w*a + n and give w.\nAnswer: -9934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/(-216))\/((-22352)\/(-8128))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -49 - -191. Let u = 141.999983 - p. Round u to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10406951 - -4?\nAnswer: -1040694c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3*f = 17, 5*f + 0*f = -z - 23. Calculate the lowest common multiple of z and (6\/(-10))\/(4\/(-80)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:02 PM?\nAnswer: 9:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1406955, -2814481, -4222007, -5629533?\n\"Answer: -1407526*g + 571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w - 3. Let r be k(-5). Let h be 1 - (12\/14)\/r. Which is smaller: h or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.164216 less than 221812354?\nAnswer: 221812353.835784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16595 + -4976. List the prime factors of y.\nAnswer: 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -3*g + 1. Let f(b) = 21*b - 6. Let n(a) = -2*f(a) - 15*w(a). Is 9 a factor of n(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5*p = 620. List the prime factors of p.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.18 (b) 0.5 (c) 5 (d) -4 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1914.\nAnswer: 2, 3, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 - 5*v - 4. Let o be p(-5). Let q be 2\/4 + (-4)\/8*5. Which is the second smallest value? (a) -0.5 (b) o (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - n**2 - 2)*(-2*n**2 + 2*n**2 + n**3) + (-5*n**2 + 7*n**2 + 16*n**2)*(-15657*n**2 + 15657*n**2 + 69*n**3).\nAnswer: 1241*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3267*t + 889 + 4001*t + 5050*t with respect to t.\nAnswer: 5784","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 3\/38, -18, -5, 336, -1\/4 in descending order.\nAnswer: 336, 3\/38, -1\/4, -0.4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19838 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: Is -40492 less than or equal to -42096?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 217\/219, -2\/3, 2\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**4 + 116*q - 51*q**4 + 94*q**2 + 42*q**2 - 605*q - 132*q**2 wrt q?\nAnswer: -588*q**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -497*f**2 - 34*f. What is q(-1)?\nAnswer: -463","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**3 + 14*n**3 - 1301*n**2 + 12*n**3 - 41*n**3 + 1301*n**2.\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y = -18*y + 1989. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10073 divide 6260561860?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 - 4*z + 4*z)*(4*z**3 - 4*z**3 - 2*z**3) + 7*z**4 - 7*z**4 + 3*z**5 - 1 - z**5 - 2 - z**5.\nAnswer: 3*z**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1817, -13793, -46075, -108815, -212165, -366277?\nAnswer: -581303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 988 - 988.000489. Round s to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7\/3 + -3. Suppose -5*i - 3 = -2*i. What is the biggest value in i, y, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 3*h**2 - 2*h + 9. Let u be x(3). Suppose 0 = i - 2*f - 13, 5*i = -5*f + u - 13. What is the units digit of 69\/((-2 + i)*2\/6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35431193*f**3 + 38829750*f?\nAnswer: 212587158*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7731*z + 7669*z = 496 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/216)\/((-4)\/(-60))?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7634*g = -15231*g + 7489*g + 7128 for g.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 12176 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*o - 115 = 0, -2*o + 12 = 2*p - 18. Suppose -3*q + 34 = -p. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 1874*a**2 + 3227*a**2 - 1353*a**2.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -616*a + 17. Let w(l) = -103*l + 3. What is 6*i(t) - 34*w(t)?\nAnswer: -194*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1189 - -1299. List the prime factors of c.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*-5*(sqrt(2736) + 1) + (-1*(sqrt(2736) + 0) + (-5 + -1 + sqrt(2736) + sqrt(2736) - sqrt(2736)))**2 + -3.\nAnswer: 50 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 208774?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, l: 11, t: 2}. What is prob of sequence llee?\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - p. Let h be g(0). Suppose 3*d - 4 + 13 = h. Let u = 61 + -58. Which is the nearest to u? (a) d (b) 4\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 4 - 38)*(-r + r - 7*r) + 5*r + r - r.\nAnswer: 243*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 27 = -3*s, 0 = -5*s - c - 3*c. Let x = 0 - s. Solve -4*i + x*l - 4 = 0, i - 2*l - l - 1 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 395.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/133 and -67\/14.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5*k. Let u(l) = 319*l - 188. Give o(u(d)).\nAnswer: 1595*d - 940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2121)\/1212*8\/35.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + 3*u**2 - 74 + 122*u - 234*u + 113*u to q*u**2 + v*u + f and give f.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*b**5*x - 63*b**5 + 6*b**2 - 7*b*x + 12 wrt b?\nAnswer: -1020*b**2*x - 3780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (30\/(-4))\/((-3)\/6). Let y be (-6)\/t - 0\/1. Let n be (1\/3)\/((-4)\/(-3)). Which is the second biggest value? (a) y (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27, -98, -197, -318, -455, -602, -753?\n\"Answer: u**3 - 20*u**2 - 18*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 852000 rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*n + 28*n = -48. Let s = -13 - n. What is the remainder when 4 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 417908829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 17 = 3*q, 3333*s + 159 = 3325*s + q for s.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2517*v - 1440 = 2493*v. Solve -3 = -57*f + v*f - 2*h, f + 2 = h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -117*w**2 + 37*w**2 - 6*w**2 + 2*w**2 - 5*w**2 + w**2 + (-w**2 + 2*w**2 + w**2)*(-1 + 0 + 3) - w**2 + 4*w**2 - w**2 + 0*w**2 - w**2 + 0*w**2.\nAnswer: -83*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 0, -2, -4987 in descending order.\nAnswer: 68, 0, -2, -4987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224094 and 3214224?\nAnswer: 543203856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 2*n = -4, 0*n = -n. Which is bigger: y or 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -35. Suppose i*f = f - 5. Calculate the remainder when 18 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*l + 2*l**2 + 6*l)*(0 - 2 - 1)*(-9*l**2 - 6*l**2 + l**2).\nAnswer: 84*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 13*n**2 - 15*n + 2. Let p be t(11). Suppose -12*a - p = -7. Does 14 divide -1 + 4 + a + 354\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, -2, 471, 0.5, 13\/10?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 1.2. Let i = -30 - -30. What is the third smallest value in i, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - j - 8. Let y be 0*((-2)\/2 + j). Suppose 0 = -5*n - y + 20. Solve -1 - n = -5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6544 - 6543.95. Put -5\/4, 0.4, n in ascending order.\nAnswer: -5\/4, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8080 - -8093. Solve -2*r = -g*r + 66 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -371*z + 166*z + 7 - 288*z - 46*z in the form a*z + h and give h.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 1737*s**2\/2 + 916*s + 735. What is the derivative of l(n) wrt n?\nAnswer: 1737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1234 divided by -12.\nAnswer: -617\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91145485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 495 times -0.59\nAnswer: -292.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11152 divided by -34?\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*a + 150*a = -19635. Let u = -1035 - a. List the prime factors of u.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, 5, -4, -6377?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 3*b + 12, -2*b - 11 + 2 = 5*f. Suppose -25 = -13*i + 8*i. Sort f, 6, i in increasing order.\nAnswer: f, i, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75958*t**5 - 2*t**4 - t**2 - 35*t - 931 wrt t.\nAnswer: -1519160*t**3 - 24*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4107 - -4107. Is 44\/15 > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g**2 + 2*g + 6. Let w be x(0). Let y be 2*5\/w + (-3)\/3. Which is the smallest value? (a) 1\/10 (b) -4 (c) y (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of ((-3212)\/198)\/((-4)\/1656)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79651.13 to the nearest 1000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 521, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/4)*q*q**(-4))\/(q*q*(q*q**(1\/2))\/q*q)**(-4\/9))**(11\/3) assuming q is positive.\nAnswer: q**(-275\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j**2 - 25*j + 128. Give a(6).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3002034, 6004287, 9006540, 12008793?\n\"Answer: 3002253*n - 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -2\/15*g**6 - 8\/3*g**3 + 4\/5*g**5 - g**4 + 9*g + 8*g**2 + 0. Determine a, given that p(a) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of -5\/2*w**2 - 31*w - 5\/3*w**3 - 5\/12*w**4 + 0. Factor u(f).\nAnswer: -5*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -319, -226, -133, -40, 53?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 4*x**2 - 5*x + 7. Let u be p(6). What is the highest common factor of u and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, 63, 88, 113?\n\"Answer: 25*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 2032408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/18*3*30. Solve 0 = -4*q - 10 - p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 60 + 430 = 4*k, 5*r = -3*k + 374. Calculate the remainder when k is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -77, -321, -729, -1301, -2037, -2937?\n\"Answer: -82*h**2 + 2*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*sqrt(63)*2)\/(sqrt(45)\/(2*sqrt(5))))**2.\nAnswer: 1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8, 6, 36, 82, 144?\n\"Answer: 8*p**2 - 10*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8469 + 8589 = -120*r. Let k(t) be the first derivative of t**3\/3 + t**2\/2 + t - 1. Determine k(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*n + 13, 4*n - 9 = 3*a + 7. Let s = 6 - n. Suppose -5*i + 45 = 2*j - 47, -s*j = 3*i - 59. Is 6 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, q: 5, w: 1, a: 4, e: 1}. What is prob of picking 1 a, 1 w, and 1 e?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 - 327680*m**2 + 6712196928*m - 53676605952 = 0.\nAnswer: 8, 40956","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(-39)\/(-18)*3. Let p be (38\/6)\/1*(12 - 15). Let a = f - p. Calculate the highest common divisor of a and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2073.4 - -8572.9. Round m to the nearest one hundred.\nAnswer: 6500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - r - 7 = 0, -4*x = -5*r - 8 + 2. Let o(l) = -48*l**3 + 4*l**2 + l - 2. What are the prime factors of o(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 6. Suppose 3*z + 168 = d*z. Suppose -z = -a - 6*a. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58653)\/686)\/((-9)\/180*18)?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v + 11. Let x be a(5). Let o = x - 13. Suppose -5*r + 315 = -5*p, o*r - 9 = -4*p + 180. Calculate the greatest common factor of 9 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 5*r**2\/2 + 4*r + 34. Suppose 13 + 1 = 2*y. What is the units digit of u(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.7*0.02.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 2)*(4*g**4 + 0*g**4 - 5*g**4)*(-115 + 41 + 110) as n*g**4 + j*g**3 + f + t*g**2 + u*g and give n.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**3 - 9*y**2 - 38*y + 6. Let z be f(-6). Calculate the highest common factor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16*14*38\/(-532)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005467121 to 7 decimal places.\nAnswer: 0.0000547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -368*l - 45 = -377*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -1978*h - 4*h**2 + 1978*h. Let b(v) = 3*v**2 + 3 - 3. What is b(d(p))?\nAnswer: 48*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/(-9))\/((-1)\/(-6)). Let y(f) = -5*f**2 - 7*f - 18. Let t(d) = 11*d**2 + 14*d + 37. Let m(h) = -6*t(h) - 13*y(h). Determine m(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 4*i = 20, 5*u + 25 = -238*i + 233*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 - 8*z + 18. Let k be j(4). Suppose 0 = n - 5*o - 9, k*n - 24*o + 22*o + 6 = 0. Let f(l) = -4*l - 13. Calculate f(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*k - 23. Suppose 0*a = 3*a - k. What is the third derivative of -a*s**4 + 3*s**2 - 3*s**2 + 3*s**2 - s**4 wrt s?\nAnswer: -72*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -960049 take away -1099?\nAnswer: -958950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 20*z**2. Let a(u) = -49455*u. Calculate a(x(p)).\nAnswer: -989100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 19. What is y(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 47 + -45 + 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3793)\/(-2)*10\/5 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/75)\/((-374)\/(-370) - 1). Solve 4*g + o = 49 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 1719*c + 40013. Determine j(-23).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 93, 129, 181, 255, 357, 493?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from {l: 14, w: 5}?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -556*q - 2991. Determine p(-7).\nAnswer: 901","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*a + 0*a + 0*a)*(395*a**2 + 13226*a**3 - 6613*a**3 - 6609*a**3).\nAnswer: 12*a**4 + 1177*a**3 - 790*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(4032) - 1*sqrt(4032))*2)\/((sqrt(96)\/sqrt(2) + sqrt(48))\/sqrt(12) - (sqrt(4) - sqrt(4)*-3)*-5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 9*g - 7*g. Solve 4*b - b = g for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -5*z**3 + 41*z**2 - 44*z + 406. Give c(8).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**2 - 49*j - j**3 + 48*j + 1 + 2*j**4 - j**3 to o + v*j**2 + s*j**3 + n*j + z*j**4 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a century in months?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -187068, -187066, -187064?\n\"Answer: 2*z - 187070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, q: 2, d: 2, y: 10, j: 1}. What is prob of sequence gdyd?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/4)*u**14*u)**(8\/11))**50 assuming u is positive.\nAnswer: u**(6100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98*h**3 + 104*h**3 + 162*h**3 + 111*h**3 - 521*h**3 + 115*h**3.\nAnswer: 69*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 319679.\nAnswer: -63935.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 2*j**3 - 21*j**2 - 11*j + 3. Let x be i(11). Does 10 divide 8 - (x + 2 + 0) - -91?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v - 5. Let m(g) be the third derivative of -g**4\/6 - 2*g**3\/3 + 10*g**2. What is 4*f(l) - 5*m(l)?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*y = 25, -5*w - y = -3 - 2. Suppose w*k + 2*k = 76. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -12*h + 9. Let n(b) = -3*b + 2. Suppose -r = 3*p - 11, 14*r - 4*p = 19*r - 110. Determine r*n(a) - 6*j(a).\nAnswer: -6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000023663 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.2 - -1.237. Let o = -0.263 - q. Is -0.7 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*g + 117 - 33, q = 2*g + 28. Suppose 2*h - 4*h = -5*k - q, 0 = -h - k. What is the tens digit of (19*1)\/(h\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k + 2*k**2 + 6*k)*(5 - 9 - 50*k + 7 + (-3 + 0 + 2)*(2*k - 2*k + k) - 3 + 3 + 4*k).\nAnswer: -94*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 324 and 119492982.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32513502 (base 6) to base 7.\nAnswer: -11165006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j - 1788 = 3*v, 1748 = -3*j + 5*v. Let q = j + 590. Is -12\/19 <= q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 2*i + 30, -2*i + 1 - 21 = -2*u for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-5*(1 + sqrt(1377) + sqrt(1377) + 0))**2.\nAnswer: 900*sqrt(17) + 137721","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 49*h + 97. Determine v(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqq when three letters picked without replacement from {l: 1, u: 2, q: 4, b: 2, c: 7}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5094 or -110?\nAnswer: 5094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**5*b**(-6))**(-26)\/(((b*b\/(b\/(b**(1\/8)*b)))\/b*b**(-4))\/((b\/(b\/((b*b**(-1))\/b)))\/((b*b**1)\/b))) assuming b is positive.\nAnswer: b**(7\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.03 - -0.83. Let t = 0.8 - s. Let h = 0.001 + 2.999. Which is the third biggest value? (a) t (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of 3*b**4\/2 - 2*b**3\/3 - b**2 + 296*b + 609. What is the second derivative of a(l) wrt l?\nAnswer: 36*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(170)\/(sqrt(30)\/sqrt(3)) + -2*sqrt(1700).\nAnswer: -19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + (sqrt(192)*2*-6)**2 - sqrt(192)) + -1*(sqrt(192) + sqrt(192)*2) - (0 + sqrt(192) + sqrt(192) + 0 + sqrt(192) + 3).\nAnswer: -48*sqrt(3) + 27645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**4 - 2*x**3 - 4*x**4 + 6*x**3 - 68*x**2. Let u(a) = -5*a**3 + 69*a**2. Let c(p) = 4*i(p) + 3*u(p). Find the third derivative of c(h) wrt h.\nAnswer: -96*h + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3073536075?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 8. Let d(j) = j**3 - 5*j**2 - 3*j - 4. Let y be d(6). What is the units digit of o(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 627 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 8*g = -0*g. Suppose g = -40*f + 35*f + 250. Is 49 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 174 + 258. What is the common denominator of 35\/4 and i\/40*30\/56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/13 + 1422*b**2\/13 + 4280*b\/13 + 2856\/13 = 0. What is b?\nAnswer: -2, -1, 714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1831.0861 + 3.0139. Which is smaller: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.095 + -3633.08674.\nAnswer: -3632.99174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 q when two letters picked without replacement from qucuuujjuikqkqu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 PM and 4:24 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 4 = -5*m, -3*a - 43*m + 12 = -4*a - 45*m for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 2*q - 5*q + w, 0 = -4*q + 2*w + 34. Let j = 41 - 21. Suppose -j = 3*u - 7*u. Solve 3*t = u*t + q for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1533283 to the power of 1\/2, to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -953 smaller than 2574?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (126 - 126 - 15*t)*(-t - 4 + 4) to the form f*t + h + s*t**2 and give s.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -0.1. Let t be 3\/(-18) - 2\/6. Let n = -2.9754 + -0.0246. What is the closest to j in t, 2, n?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 874128 = 2*s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.08 - -0.08. Let t = j + 2.5. Let y = -306 + 302. Which is the nearest to 1? (a) y (b) 2\/13 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457581.6 months in decades?\nAnswer: 3813.18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 2 (b) 100451 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 158937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20397, -81501, -183337, -325911, -509229, -733297, -998121, -1303707?\nAnswer: -1650061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187869542 and 2.\nAnswer: 187869542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 31 = 4*u. Let k = 13 - u. What is the highest common factor of 6 and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2*w = -31, -w = 3*u - 5*u + 13 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 4. Let u be 8 + -8 + 1 + s. Suppose -a = -u*a, 3*y = -2*a + 39. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 58*v - 637. Let d be z(11). Solve 3*t + d - 11 = 4*l, 5*l = 2*t - 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.437646 millilitres?\nAnswer: 0.002437646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17, -113, -211, -311, -413, -517, -623?\n\"Answer: -k**2 - 93*k + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2384)\/(-52) + (-2)\/(-13). Suppose k + 11 = q. What is the remainder when k is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106 * -675.\nAnswer: -71550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (2 - (-1 + 8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p + 0*p - 4*p**2 - 539 - 2*p + 2*p.\nAnswer: -4*p**2 - 4*p - 539","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/21 (b) 2\/7 (c) 3 (d) -1\/10 (e) -1\/5 (f) -37481\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 5371 = -2*o + 7*o, 5*o + 2*n - 5363 = 0. Suppose 1129 = 20*r - o. Calculate the remainder when r is divided by 43.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 6:58 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 118\/(-22))\/(-1). Let t = 5233 + -172666\/33. Let o = t + j. What is the third smallest value in o, -1\/4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -21073*u + 21075*u. Solve 2*q + 7 = -s + u*q, 0 = 4*s - 3*q + 2 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 365130174 divided by 182565087\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 4:30 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 511309 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 58 = 2*b + 2*p, -132 = -5*b - 3*p. Let f be (-27)\/(-6)*(-4)\/(-3). What is the greatest common factor of f and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -14. Let c = b + -8. Suppose c*r + 16 = 9*r. Solve -28 = r*f - 4*w, -5*w = -4*w - 4 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 + 16*g + 2075. Let t be n(-37). Solve 0 = -71*j + t - 43 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 390388 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -3 (c) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 0, -3*k = -k + 2*s - 2. Suppose 16 = 3*a + k*b, 0 = -2*a - 2*b - 3*b + 20. Solve a*l + 16 = 4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -4*p + 19. Let i be h(5). Put -6, i, 4 in decreasing order.\nAnswer: 4, i, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9621400, -9621407, -9621414, -9621421, -9621428, -9621435?\n\"Answer: -7*k - 9621393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13560 divided by -10?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p - 8. Let t(z) = z + 1. Let b(g) = -d(g) - 5*t(g). Let q(w) = 9*w - 4. Let y(u) = -4*b(u) - 3*q(u). Let h(s) = 2*s. Determine y(h(k)).\nAnswer: 10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 144440959 to the power of 1\/2, to the nearest integer?\nAnswer: 12018","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 8086 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.006 - 0.094. Which is the closest to -2? (a) w (b) -1 (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27162, -0.06, 22?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52*(-4005)\/11570*26\/(-12)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -66*v**3 + 20*v**2 + v - 15. Let s(z) = -26*z**3 + 10*z**2 - 8. Let g(w) = 5*s(w) - 2*u(w). Factor g(x).\nAnswer: 2*(x - 1)*(x + 1)*(x + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4 = 3*z, -z + 11*g = 6*g + 20. Let h be (1 + z)\/(2\/122). Let n = -38 + h. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13311111303 (base 4) to base 15\nAnswer: 2a8696","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 11:42 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**6\/20 - 2*n**3\/3 - 15*n**2. Differentiate r(a) with respect to a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + -2991115467.\nAnswer: -2991115467.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-81)\/(-21) + 2\/14. Factor o*c**2 - 12*c**2 + 6*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 - 19 = 6*q. Let u be (16\/(-6))\/(3\/9). Let g = q + u. Solve -4*r = g*l - 26, 0*l = 2*l - 5*r + 19 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of p**6\/120 - 17*p**5\/30 + 61*p**4\/24 + 85*p**3\/6 - p**2 + 1742*p - 2. Determine l(32).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 756387 to the nearest integer?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 4)*(3 - 2 + 0) - 3 + 2 + 3)*(2*l + l - l)*((2 - 2 - 2)*(-3 + 0 + 2) + 0 + 0 - 1 + 1 + 34 - 13).\nAnswer: 184*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.271 + -6.171. What is the second biggest value in -27, p, 2, 1\/43?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 2\/7, 4, -0.01 in decreasing order.\nAnswer: 4, 2\/7, -0.01, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**3 - 3*z**2 - 5*z - 5. Suppose 3*s - 3*o = 0, -3*o - o - 20 = 0. Let g(b) = -3*b**3 + 6*b**2 + 9*b + 9. Give s*g(l) - 9*m(l).\nAnswer: -3*l**3 - 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 943.1 - 943. Let l = 46 + -41. Sort m, 3, 0.2, l in descending order.\nAnswer: l, 3, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14*(1 - (-5)\/(-10)) + 37. Solve 6*h - m = 17*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 3*u - 3 + 24, -2*u - 1 = -l. Let o = -4.6 - -0.1. Let q = 4 + o. Which is the fourth biggest value? (a) 0.5 (b) l (c) 1 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/2*(5 + -1). Let k = o + 19. Suppose -6*g = -k*g - 138. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -14.7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -195*b + 163. Let n be i(-37). Suppose -22*k + n = -5*k. What is the hundreds digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8) + sqrt(56)\/(sqrt(35)\/sqrt(5) - sqrt(7) - sqrt(7)))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000000622 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - 20\/(-6))\/((-34)\/51). Put 1.1, -3.3, -0.1, f in ascending order.\nAnswer: -3.3, f, -0.1, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10943 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*v - 6*v. Let h(q) = 2*q**3 - 4*q**2 - q + 2. Let d be h(v). Solve 4 = m - 4*i + 2*i, -2*m + 3*i + 6 = d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 458250 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 579.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71)\/(-1491)*36\/8*(-4)\/9.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 0 = 123. Suppose p = -5*n + 51. Suppose n*i = -5*j + 44, -4*j + 80 = 5*i + j. Calculate the remainder when 58 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 12040 = 4*t, 5*t - 356*p - 15071 = -355*p. Calculate the greatest common divisor of 15 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - d - d = 3, 5*p + 13 = 3*d. Let l = -3 - p. Is l > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 155?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16 - (-66)\/(-4))*(-64)\/18. Determine a so that 0 - 104\/9*a**2 - 212\/9*a**3 - 10\/3*a**5 - t*a - 142\/9*a**4 = 0.\nAnswer: -2, -2\/5, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2046 - 2046.5. Sort -1\/5, y, -5, -0.58.\nAnswer: -5, -0.58, y, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + u + 52. What are the prime factors of r(0)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0722 - -0.9278. What is the third biggest value in -5, d, -9\/7, 2?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 298 - 661. Let x = 541 + z. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 10*m - 86. Suppose q = -5*s - 20 + 104, 20 = m*q. What is the highest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 - 42*u + 299. Determine w(7).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-244)\/6)\/((-322)\/23) + -3. What is the closest to 0.4 in q, 5, -0.1, -3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 98 = -100 + 159. Which is greater: 1098\/29 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 + 0.1286.\nAnswer: 5.1286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*b**4 + 3*b**2 + 4227*b wrt b.\nAnswer: -216*b**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 2301416300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27412 and 2?\nAnswer: 27412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(-v + 0*v + 2*v) + 3*v - 3*v - 2*v + (-3*v + 5*v - 3*v)*(-4 + 2 + 1) + (5*v - 6 + 6)*(1 + 17 - 2).\nAnswer: 76*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 + 100743*u\/4 - 100741\/2.\nAnswer: -(u - 100741)*(u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f**2 - f**2 - 7*f**2.\nAnswer: -29*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3005 is divided by 200.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 741598?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -3\/9116213 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-5\/6))\/((x\/(x*(x*x**2)\/x*x))\/x))\/(x*x**(-2\/11))**(39\/5))**(4\/3) assuming x is positive.\nAnswer: x**(-362\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -197.1 + 76.9. Let t = -120 - z. Which is the smallest value? (a) -20 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 4*d + o + 578, -2*d - 4*o + 218 = 0. Calculate the least common multiple of 46 and d.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 8 (b) -4\/253 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/5))**43 assuming c is positive.\nAnswer: c**(43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 + 10*f**2 - 2*f - 10.\nAnswer: 2*(f - 1)*(f + 1)*(f + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1530 - -53591\/35. Let w = -144822767942516587\/108590 + 1333665788208. Let g = -2\/10859 + w. Find the common denominator of g and f.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0*x + 2 + 2*x)*(-123 + 251 - 98)*(-2 + 0 + 7) as l + z*x and give z.\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 56144\/3, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3513*o - 2 + 2 + 3677*o to m*o + y and give m.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 592 and 39132976.\nAnswer: 592","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -7*h + 78. Let i(r) = -14*r + 156. Let o(x) = 5*a(x) - 3*i(x). Let q be o(12). What is the greatest common factor of q and 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 - -2 - (-12 - -26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2*v + 34, -2*v = 4*f - f - 14. Suppose w + 2*w = f. What is the tens digit of (-1)\/(-2)*(w + -3 + 53)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 229749449 or -3?\nAnswer: 229749449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivqqisqlisiqqqiqiq. What is prob of picking 1 q and 2 i?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 64 = -3*q. Suppose v - 2*f = q, 5*f = 3*v - 2*v - 41. Calculate the remainder when 50 is divided by v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 2:13 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.04 + 6. Let k = 0.03999968 + v. What is k rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14269 - 14266. Factor -160*r**2 + 12*r**o - 64 + 592\/3*r.\nAnswer: 4*(r - 12)*(3*r - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.014252 in 2\/3, 1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*b**4*p + b**3*p + 157*b**3 - b**2*p + 387*b**2 - 2*b - 26*p wrt b.\nAnswer: -312*b*p + 6*p + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 0 + 3 + -13 + 18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10956 + 11173. Let g(d) = 62*d - 5. Let a(n) = -2697*n + 217. Determine p*g(s) + 5*a(s).\nAnswer: -31*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 2*t**2 - 2*t**3)*(26 - 3 + 1)*(0*t - t**2 + 0*t).\nAnswer: 48*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*o + 40 = 39*o. Calculate the smallest common multiple of o and ((-30)\/(-7))\/(12*4\/224).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 r when two letters picked without replacement from zzzbdrzbz?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20966, 41945, 62924?\nAnswer: 83903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108916 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-128)\/(-10)*(-1 + (-21)\/(-6)). Suppose 0*k = -5*k - 3*t + 20, k - d = 5*t. Which is smaller: 6 or k?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 839 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1350 + 1341.87. Let f = 8 + k. Let d = 4.87 - f. What is the second smallest value in -0.5, d, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9353 divided by -1\nAnswer: 9353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170 = -46*q - 124*q. Let m(v) = 5*v**2 + 11*v + 10. What is m(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -35*c**4 + 4*c**3 - 2*c - 62. Let f(h) = 71*h**4 - 10*h**3 + h**2 + 5*h + 124. Let n(o) = -5*d(o) - 2*f(o). Find the third derivative of n(k) wrt k.\nAnswer: 792*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10\/(-8) + -5*149151\/38180 + 21.\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -1, 4 in ascending order.\nAnswer: -1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -2. Let r = 1029 + -620. Suppose -i*p = -r + 53. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - 153 + 146 + s)*(-2 + s**2 + 2).\nAnswer: 2*s**3 - 7*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(2057) - sqrt(2057)*-1*6 - sqrt(2057)) + (sqrt(2057) - (sqrt(2057) + 2*((1*sqrt(2057) - sqrt(2057)) + sqrt(2057) + sqrt(2057)))) + 5)**2.\nAnswer: 220*sqrt(17) + 8253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w = 82*w + 10. Solve -5*u = -0*g + 4*g + 18, 0 = w*u - 2*g for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -109, -1.\nAnswer: -109, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-8\/5)\/(t**(-6\/17)*t))**(-1\/6))**(-29\/3) assuming t is positive.\nAnswer: t**(-5539\/1530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -3475*g - 2. Let b(w) be the second derivative of w**4\/6 + 88*w + 1. What is b(q(v))?\nAnswer: 24151250*v**2 + 27800*v + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aar when three letters picked without replacement from {a: 3, r: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -14*q - 545. Let n(f) = 13*f + 543. Let j(c) = 7*n(c) + 6*t(c). What are the prime factors of j(0)?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136967519.\nAnswer: 13, 10535963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*x**3 - 41*x**3 - 36*x**3 + (-x**2 + 3*x**2 + 0*x**2)*(-2 - 2*x + 2) + 2*x**3 + 2 - 2.\nAnswer: -17*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7 - -36)\/(1 + 0). Let n = -7 + r. Is n a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5*q = 4. Suppose 3*v - v = q. Suppose 4*w - 85 = -5*a, -5*a + v*a - 17 = -w. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1441169 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-18)*84\/(-784)\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41 from 459.709342.\nAnswer: 418.709342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 13116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + v)*(-2*v**3 + v**2 - v**2) + (v**3 - v**3 - 5*v**3)*(v + v - 3*v).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 14*v + 3. Let q be z(-14). Suppose 0 = -2*n + 1 + q. Solve -4*a - n + 0*a**3 + 5*a**4 + 4*a**3 - 3*a**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 3*a + a)*(-110 + 47 - 167) + 4*a - a - 4*a + 3*a + 2*a - 3*a + (a - 6*a + 4*a)*(-2 + 1 - 1).\nAnswer: -227*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-65))\/(-1 + (-9)\/(-5))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 8*o**2 - o - 6. Let m be w(-8). Suppose -m*j = -2*g, 4*g - 3 = 2*j - 5. Which is bigger: g or -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/2282 and 109\/105364?\nAnswer: 17174332","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-612)\/(-187)*110\/20?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 189\/8 in -0.04, -0.4, 6, -1\/4, 2\/3, -0.36?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 55, 389, 1289, 3037, 5915, 10205, 16189?\n\"Answer: 47*h**3 + h**2 + 2*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 3*j + 528. Let g be 40*(-1 - 21\/(-15)). What is the greatest common factor of g and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in twenty-five halves of a second?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 9?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177 - 61 = 3*u + 2*p, 225 = 5*u - 3*p. What is the remainder when u is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/2 + (-188)\/(4 - 8) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5250, -5500, -5820, -6210, -6670, -7200, -7800?\n\"Answer: -35*s**2 - 145*s - 5070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1255*j + 1252*j - 6 = 0. Let o(c) = 3*c**3 + 2*c**2 - 3*c - 2. What is o(j)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -12011?\nAnswer: 12002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-370 + h + 186 + 181)*(4*h - 3*h + h) in the form n + w*h + s*h**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 0*z**2 + 3*z**2 + 8*z**2 - 2*z**2. Let w(o) = 2*o**2 + 3. What is the remainder when p(3) is divided by w(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (126\/(-15))\/(-6)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}